{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Analysis and Machine Learning Applications for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Material for a* [*University of Illinois*](http://illinois.edu) *course offered by the* [*Physics Department*](https://physics.illinois.edu). *This content is maintained on* [*GitHub*](https://github.com/illinois-mla) *and is distributed under a* [*BSD3 license*](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "[Table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the scikit-learn modules we need:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn import cluster, decomposition, metrics, manifold" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from mls import locate_data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "circles_data = pd.read_hdf(locate_data('circles_data.hf5'))\n", "circles_targets = pd.read_hdf(locate_data('circles_targets.hf5'))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ess_data = pd.read_hdf(locate_data('ess_data.hf5'))\n", "ess_targets = pd.read_hdf(locate_data('ess_targets.hf5'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: The Cure of Dimensionality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We already encountered the \"curse of dimensionality\" in the context of dimensionality reduction, but sometimes a large dimensionality can be a cure. As a motivating example, consider the 2D data plotted below which clearly contains two clusters with highly nonlinear shapes:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def plot_circles(labels, data=circles_data):\n", " X = data.values\n", " cmap = sns.color_palette('colorblind', 2)\n", " c = [cmap[label] for label in labels]\n", " plt.scatter(X[:, 0], X[:, 1], c=c)\n", " plt.gca().set_aspect(1)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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qIV8pd0yJDeKvy3L6vS43OogLNbHEBnXN2B/m19MmkN4IsMXNcddYw9N5t0wi4p/LNcxIDOk5bpOJRTicXZ/B6sImfvVVIY99d7SPgBv0ZnZWux7vAeys0tEsYPp3KhAQsRu+KGxiV43nut3+uHpKAiqpmMe/L+WXXxTwxMZSGjrcZ251YxXKfDiOzcNzY4kQN2fDAE4nzEwK4+sbpvPR1VNYkhHR5wgPumqYVx6o53DjiSSQTw43uE0fNdvtWDzsw8cyARG7oaSls193jP5o6DBz0bv7eXFnFR8fbuD57VVc+N4+driZLbpZnhONSib80eQluE+EH0vkuoloS0X0dI4QiUQsTI90WwKpt9r5qqjrGOqDg/X8/acyt+/ncIr40w+l1HeYONTQwcayVowejsbGEoE9sRtyo4MGZHPjDk20mm3VbdScNPNWtJl4enM5H1+T5+YnYUZSGFdNiuOdfXV9EkNmJoVw3yjth73NirwENle0uVgMnZEazrLsqD6PST2kunU/997BWsHa6W6sDiefFTTxbWkrZpsdqwMywlXcMDWBe8b43zQgYjdcqIlhdnJYv7NmN70Fnxmp4s6ZSTyyvkTw2r217TQbLES7qSwC+PuyXGYmhh7/0jmYEh/ML2alEKw4NT6yc7Ki+Pu5Oby2p4bCpk6C5BLmp0bw5NIsl2O0M1LC+anCtWosWi3j2skJ2BwOygbogtK7aqqszcjfN5eRGKrgsuO9lKt0Rl7dXUNNh4kYtYKbpyWg8fOz51PjGzFMTDY7jXoLMUHynvNEsUjEyxeN59Hj0elOqx2VVIxOwHFDKRHx5yVZVLdbCFdKeWBpLoWVrcMak0gk4urJCVw92TV76lTh0glxXDI+Fq3JhkoqdnuW+6szUtlf38GG0ha6t8ZhCgm/npdGQqgCp9NJkJvtR3+YbE4+O9LIZRPi2Fal5Z4vC6nSnVg9fVHUxD/OzWV5bv+prKPFaS1iu8PJExuP8XVxEzXtJhJCFJyXE8PjizORisUkhip587JJtJmsdJjt1HWYuOz9A1hOCi5Z7E4kYjG/PzsTgFCljPRwFdMTQ9khYGo3PTHE4yx8OiESiYhUyTxeI5eIefvySWyq7WD94QaUUjHXTDlRBulwgtO98UW/dEet/7W1so+AARo7LTy7rYLzcqL8tkHcaS3iJzYe48WdJ9w2KnVm/re7GidO/t85J46GwpUy5BIx939T6CJg6DrDXXW4gRumnih2EIlEPDA/nd98XdRnX5wapuDBBRm++YVOYcQiEVdNTWJRr0quH4618vKuavIbO2juHHrOdGqYCq3Ryr464dOIA/UdFDZ3Mt5Pl9WnrYhNNjvflAhbw6wtaebRMzMJ6nUM8rv1JWwqd+/mcXIAC+DsjEhWr5jK63traNBbSAxRcPvMZOJDAr2Khsuuah2/+qqQBg/GAwMhSi3lxmkJiEUgdjObi0Qg9dNZGE5jETfqLVTrhDOvqnRm6vVmsiK7qm86LXY2lXve48YFCS+PU8NVPL44e3iDDeDCG/tqBi1gMTApNgit2YbR6mB8TBB3zExmfmoE0NWMbkOp6+c8PTGUbIGeVP7CaSFii93Bf7ZXsq1Kh9XuIC8+hLtmJ5MYoqRCQMhJIQrigk+Iss1kpdVDsbkYuHh8rC+GHsAN5YPoN9WNAyhs7uSOWSk8uCDdxWjgtwszKNca+3SvSAlT8PAC/26YfsqL2OF0cttnh1l7tKXnsa1VOnZU61icEcEb++tcfmZZTlSfap64YDnpYSoKBcrnxMD981O5bYarm0YA3xGpdB8YHB8dxPTEEEpbDGw/KevO4oD3DtRx07RE0k7y/J4SH8LXN0zn1T3VlGlNGKx2Lhsfy8K0wZehjiSnfMbWF4VNrO8l4G721nXwY2Ub0l43WKkIFqSF8eSSvstfqVhMbLDwlyYjQsnDCzP9+k59KnLJ+BgUAjXX42OCWH/zDP51/jgsbjpJaE02Pjvi6rENEK6SEayQsrtGx1fFzdy++gjnvb2XzRX+m7N+ys/E26t0bu1wSk/ySLY54WB9J7tq2pmXeuLu63Q6aXGznG7QWylp7iRnCIXxAYbOFZPiqdKZefdALVXtZqQimJYYyp+XZPU4okjdGCsAKI7fvZs6Lfx7WwWHGvQ0d3aVnDZ1WnsSdxzAvroOHlpbxLc3z/TLZBv/G9EAMdsc/GXTMX4s19JhsaOJVnPHzGTOyujrdqiUDm6GbDfbWHmgro+I7U4nTW6CKHqrnYKmgIhHg9/MT+P2WUlsPNZKTJCc2clhfVZEc5LD2ClwTp8QIufayQlojVau/fggB+v79/su1Zp4c1+tX6Zojtnl9N1fHOG/u6o53NRJpc7Et6WtXP/JIe7+4kifkrOrp8QLLrs80XRSyZpULCa5l41NbyJUUmYknRpFCWORYLmUC8fFMicl3GVL8+D8dBZlRPQ5OIpQSXlgXhrhKhkv7qwakIC78ddSxjE5E++u0fFtqes+12x38snhRvbVdfDSzyaQlxDCuOhgJsUFs6d24K6DyaGu57hXTowjv74Dy0lr83Ozo0gKHbyzRQDfo5JJWHnlFD4raGB3TTtqmYTr8xLIPH50eLhhcB03xvnpamtMinhrZRsmDxUrpa1die3vHXdyWJQROWARRyil3Czg23zrjGRsDicf5zdQ0WYkSi1ncWYkjy8eWAeIAKODRCziionxXDEx3uW5/ryse5MQIufKSa6v4Q+MSREnDCDjaW9tB3qzjWCFlNtmJPHJ4QaPvlgiIDVcyVPLcpgcJ7w8vnNWCrfPTEZnshEsl3jV6yrAyHNWejhrioSz9k4mKUTpt21ixqSIL50Qy0s7qznU6H451GGxce9XheREqblzVjLPXqDhr5vK2FnT3lMJEyQTkxWp5rzsKC6dGNeToeUJsUhERD8J+wHGBturBlZmCh76ivoBY1LEUrGYZ5bn8ttvS9jrZplssTv5qrjLXvWbkmbeuHQia66fTpnWgNZgw+50kBauIlbAiTLAqU+7ycY6gbiKO/IS/LP4AcZwdHpqQijf3DCdh+anEaLwvLcpajbwzJYKoKsjwfSkUGYlhwcEfBrToDf3cRP1xJS4YO47I83HIxo6Y1bE0FXu99DCDL69aQZ3zkpiZqL7o569tcMzvQtwapEcpvRo1hejkpIYIidaJcXqcPDPLRUuLWP9hTEt4m4yI9U8sSSHO2a670TgpzGJAKOESibhvJwot89LJWJqOyw0G20UNBl4Y18tN3xyCIvd/xwzTwkRd7M8N5ocNyVj0xPDsNodbCprZXtlG44R6gYZwH/5z4XjmZMc2idoJQI0UWrqBBqy76xp512BgpnRZkwGttyhkIo5NyuSY62GPk2ro9UyJsaoWfLGbgqbDYiBKfHB/PbMDBZnur8bBzi1EYlErF4xjY8P1fFDeRthCgmLM6P44FA9RW4avh32cCIyWpxSItZbbHxV3OzSdb7VYOWpzRUYj/sXO4D99XoeXFvM2pum93ReCHB68XlBAy/s6Eq9lIq7DOsvmxjvcesVopDw/bFWXtldTVFzJyEKCQvTInnsbNdWtCPFKSXi9w7UCfZJckCPgHtT3W7mjb01PLIwcwRGF8Cf2Ffbzm/Xl9Bq7PK9tjpgW5WOX31ZgDstBsnETIgJ4t4vC2jq1Vu5oMlAbbuJ1y+bNBJDd+GU2hNrje4bYbujaRgGawHGLu8cqOsRcG/K2kwcFWgcD12OL+uOtvQRcDcbjrWwa4Ae5d5mWCLWaDRzNBrNRi+NxSNWu4O399Xy+w0l/HtrBe2mvh+Axe4gOUzBYO2HB5KlFeDUw11pKbjv+iEWiznmxqTeZHOyrcq9kaIvGfJyWqPRPAzcAHR6bzjC1OqMXPTevj5FDCsP1vHMcg0L0yJ4YXsl7x+qp7jFgFD5cGKIHIfTSb2+7x10cmwQN01LdP2BAKc8iR7y7yUiXOIq0OW35ak5epJA9dtIMJw9cSlwGfDOQC6OiFAjlQ6tW/v17+11qUIqbzPx1JYKtDYnf/upDPPxv3p3cVOoQkqESobZZkdvtaMQi0kMVWBzOJFLxcxLi+CvF4wnLco35WUxMWOnxvh0HOtDS3P59liri+Pp5PgQEkIVrD+esttNiELKXQsyqW4zCLaUmZYUyu1nZrsUSYzE33bIIi4qKlql0WjSB3q9Vjvwvr69sTucbC4TtovdXdmG2WzrEXBvDBYbYhG09Sy7u1LspsYHs3rFtK6WIQ4HTU0DrzMeKDExIT55XV9wuo41Wgz/Oi+X57dXcqC+A6lYzMykUP7vrEwSQ+T8n1zClso22k02cqKDuGlqIgsTgvnnsWbB1ytv6eTFH0q4ZsqJtjveHK+nm4HfR6cdTqfbLBkH7t0WbM7eAj7B/no9n5zUrSHA6clZGZGclRGJ1mhFKhYR0ss/6/kLx2Oy2TFYHUQopYhEIpxOJ2sKhUsXtSY7D64tQm+1c9uM5JH6FYAxEJ2WScRMTwoTfC47UuU2MOUpy7LEzUF+gNOTCJWsj4C7UUolRKpkPbY/BquD2g73NekWB7x/sB67G5dNX+H3Igb47eJsF8ucYJmE22Ykcc3kBEEzvJgg9zW/AzEVCBDgZDrMFjr6qXw62mLwGPn2BcNaThcVFZUDc70zFPcsyIxi5ZWTeWzDUY62GgiWS7lrdjIr8rqWxB0WG+/sr6Wg6USgXCIWIReLXLyHc6LU3BhYSgcYJJvKWrn503zBqHVvwpVSwVndl/j9nhjgh5Im7v2igILGzuMe0hb+9EMpBquD22cmc8v0JEpbDeQ3nhBxXUfX3TBKJaXFaEMmhhmJYfxhUd9GaQEC9IfD6eTPG4/Rae2/gmlhesSIf7/8WsRVOiO//rqILZVtnLzNaDPZ+dP3pTidTlbkJfJ1sXDUMFwl45WLJxKpljE+JijQqSHAoNla0cahfpwxJSJYmhXFBblR3P91IZ1WB2dkRXG1Jtpt83Rv4dcifnBtseCZXDcWh5M/fFdKYXMn1e2urUUBatpNZEaqSAwV9o0OEKA/9FbP+2AR8Jel2bQYrNy5pqDHifWzgkY+2RfKyisnE6r0nS+b34o4v6FjQGlsDuDTI43Ixbh4QgPEBSmIVAeM7U6mw2rimZIfOdRZj9ViZ3pEEg/mnIVMLOGV8h3s0VYjE0tYFJ3FNSlT+6xg2ixGjHYr8cqQ02JlsygjkuQQBdUCPagB5iSHsiQziqVv7XGxUt5Z084/t1b4tL2t34q4TGv06C3dG4OHvcqynCiUQ8wUG+vUGdv5z7GtFLY3opLIWBKbw81pMzA77Fy/6322tVb2XLtdW8kebTVysYSfWsp7Hl9de5hNzcfICYqitLOF/PZGGswdGO1WJobGc3vGHC5LGp3qnZFCIRVz7xmp/H5DCSd/1RKCZDy9XMOqI41uC3D2+Ngaym9FfEZqOLFBMhqHWGUUFyRjeU40jy869c3dtzaX80VdAWIRXJ40hekRSVQbdazYuZKCjhPd/9Y3FvN+1T6Wxmb3EXA3O7RVLo85gU9r8wXfd09bNaWHmolWBHFmdIbXfh9/5JbpSaSHK3lyUxnVOhMSsYgzksN45KwMcqOC+BrhmAzg89WK34o4Wi3nonGxvLqnZkg/nxCiICVc5beG396g1WLg1l0fskV7QpCvle/krOgsklWhfQTczX5dLft1tV4bQ5vNxHuVe055EQMsyoxikRsnmKsmxfHyripaBGZjT4Z83sBvRQzw5DnZRKtlfFeupb7dRFKIggP1esEC/5PZX69nf72e0lYD/z5/3AiMduS5dOubFOj7pgE6gB+aSwmRjFxCy4G2OqwOOzLx6bdt+bKwkY8ON9CotxCtlqM12VxOUrZUtvH+wTqu7ZVX7U38OmNLLBJx//x0dv76TPb84gyumBQ/IAH3Zk1Bk1/6Ig2Xvxf94CLg3nTYhYMwvuCYoZWLtr5BvXFsFFJ4izf21nDvV4WsLWlhb10HRS0GFwFDV8zm3QN1OH1kzujXIj6ZI0MQo95qZ8MgnP7HAnang1fKdo72MPqwp62GPxWuH+1hjBg2h4M399UMKAEE4JjWOOgJaKD49XL6ZMKVQxtuhA/P6EYak83G+VteRWdzn4g/WuxorcKRySAqAAAgAElEQVTudCARCc8Na2oP827lXsoNWqLkapbHj+PerPlj8piqtNVIQdPAC2nCFVKUPjLSGzMi3lujQ2u0EiQTD/juB5AdpeKqyXE+HNnIUNzRREWnlofyv6LW5J/dLCwOO3anE6Ge7p/WHOKhQ1/SYetKhy03aNnbVkOTuZMnJp47wiMdHu0mKy/trEIMDPSbuCgzErGPblZ+L2Kn08l9nx3ilR2VGI+Ld6B/vKxIFU8szh7T58T5unr+cGQdu1qrMDsH1jtotJgSFo/cTXDr7Yo9PQLuxgl8VpvPr7MXEqUYG15nVruDG1fls9VDR8VotYx2sw2L3UmoQsLSrCj+6MOjTr8X8ZrCJl7cWk7v7YQDkIlhfmo4pa1Gqo6nXGaEK7lsYixysZgIlYyrJ8f7PG/Vl1gcdu7d/zmHOxpGeyj9ohJLWZEyHejaL4pE9CyrbQ4HRzuF4xKNZj2bW8q4OHHiiI11OLx/sN6jgBOC5ay8chIVOjMdTpgRHUR2lBq92cbeunbSwpReTwH2exGvP9qCUDzA6oDsSDVvXj6Zz440IhbBJeNj/V60LZZOnij4jl2tlVidDqaEJXBf1kImh7t2oX+/ct+YEDCA0WHjgYNfct/+1RgdVhQSKYujs/nzxGUkKEMJl6loNLsGJpViKRlBkaMw4qFxsMFzBL5Ob2HpW3sRA8kRKpakRyIVi1hT2ERNh5lQhYSFaRH8c7nGa32u/VbENoeDlk4ru2vc50+b7U7UMgkr8nxz/uZtbA4HN+/6iB29kjPKDVoO6er4eO6NpKrD+1x/oM17SRkjQav1RKDHarOwpv4Ihe2NfLHg5yyOyaJY4EhsTmQqU8LGxucHA0vc6J50jrUYOdbSN1mp3Wznq+JmrHYH7145xStj8rsjpvoOI8vf2kPWPzcz5YVtlLW5P++cmyps2+OvfFi1v4+AuykzaHn52LY+j+1urWZV7SGfjkfi0cTIOxQbmpn9w7OY7DYuTZhEiLQrCUUmEjM/Kp1/TL7A52PwJivyEolUDX/u++5YKwVeyl/wKxHXd5hY8uZe9tR1YLQ53Jp4A+RGqbls/NiKOh9ud780LuvU9vn/c6U/YXQMvqMFQLBETpi0/4yteEUI12ZMJU0VMaT3GSg6q5k3K3cTrVDz9fxb+dvE8/lg9go+nXsj6WNoKQ2QHaXmsbMzSRqmxZPdCR8c8k6HRb8S8bPbKgfcVmV5TtSYy4sOl6s8PHci2OF0Ojmkqx/y+xjsFmIV/fsdz4xMZuXZ1/PJ3BuG/F6DYW1DESnqcH6eMYuFMZlj8nwYumbjn26bRWbY8AJUbUNoOySEX4k4vx/3hG7kEhEL08fWHRzglvRZJClDXR5XS2Rclti3nG84ecgOYFp4ElIPH68IuC97AQCFAoUSvqDO1EGTQHBrLBKskPKXc3MJUwz9c4r2UjdOvxKxSDSw3NKlWVGcme7bJaAviFEE8bfJ5zM+JLbnsRRlGOfHjeOLugLuO7Caj6sP4HA6mRuZOuT3iVME8/iEpTyQe6bbXa+TE0v4rS0VQ36vwZCkDCVWETwi7zUSLM6M5NPrpnKRJpqkUAXJoXLigmT0lnWwXFhi4QoJK/JcTySGgt9Ep//64zEO1ntu6xSpknJ9XgJJoUruWnMEEXBWegRXTY73WTaMtzk3TsOSmBzW1hfSYTPzQ1Mpq2oP9ez/36/az6P5a7kuZSqzwpPZ1VY9qNeXIOKKpClEK4J4IPcsPqjaT4VROML/Q9NRfs4ctwka3qbKqOPaHe/x7uzrCJbKR+Q9fc3kuBBevbRrFVXQpOfKDw7SOyVHb3EQLJdgszswHbfKjFLJuH9+GpleaubnFyL+qqiJF3dUCbZj6c0NUxMpbTXw3PYTxeurjjSysUzLixeNHzNClorFXJg4gU9r8lldd9glgKezmfhv2XbuSJ/DBQkTeKLgW+wew3wQIpWTF5bI8vhx3JY+u+fxmRHJbkXcvSe9OjmPNyt2+zwf24GTra0VXLX9bb5ecJtP32uk0VtsvLCjikYBz2m9xc6KKXHEBCmQS8RcOyWOpFD38ZHB4hci/rKoqV8Bq6Vi3txTjU7ASOuzgkbOy43mkvGxAj/pn3RYTfy18DuP0vyyvoC3Z16N08NVKrGUO9Ln8tC4swVn1EWx2awScOaQImJZbC4A2SHR/DpnIf8u+RGdzfVIT4yInOAoVGIZoTIlRzoaabYMvRnm3rZadrZWMnsYWwZ/QW+x8bv1JWwq19Kgd28aL0LMo2f5ppm9X4hYb3GfE6yQiHA4nRg8lHE56TL3Hksivnf/arczZDe1pnb0NiuTQuM52C4crTY7bGxqOcbMpmTOjdO4PH9F0hQ2NpXyac2hnnxzKSKuTZ3Gsrjcnut+mTWPc2Nz+bD6AIfb62mxGLA7HaSow7k+ZTpL4nJ6rr14yxvDErEDJ7taq08JEd/zZaFbu+Te+LLtqV+IeHxMEOuOCufWZkaoKGjuv+RrjKykATjS3sDG5tJ+rwuWyMkIiuDs6Gzy2+sFiz4cdFnuPHTwK8bNiyUtqG/ATywS8cLUSzk3TsPGplJEIhHLYnM4N07jcsSTHRLN/41f0u+4grywnzU4LPxi76c0WzpJVoXx8/RZTB5DmVvQVd++yU3Hzt7kRKm4fabvmqz5hYjvmp3MhmMt5Df0vbsnhyoweJilu+k27h4r7G6twmDv/zxcLpbw/wo2sLaxuN+qrXpzB29W7OaPE5a6PCcSibg4caLXigykwwyEhYoV/Ld0G3r7ieXn941HeX7qJZwZ45slpy/YVaPzWBYbrpQyIzGU352ZQahALbzT2bVRGm4sxy9EHKmSMzspzEXE1e1m+qujlorgminxnJcT7cMRepfpkcmoJbJ+hdxqNfLRIFIvR+oMdl5UGmsbiob88yanFYuj75e/ztzBQ4e+4p6seVyVnIdC4hdfTY9MSwh163cOcPvcVB6a67plMFi7upf8VKlFb7ajiQ7i9hlJLBvid9gv/lIWu4NN5VrB59xthWPUMpbnRrM0K4pl2VFjKvtnr7Yalbh/EQ+WVPXInJ1rgmNJU0VQYRT+zPrD4hT+UMsMrTxw6Ev+V7aDpyafz7yo9GGM0vdMiQ8hIURJhU44qn+4Xo/ebKPFaCUhpCsyDXDn6iN9to/1egv5DR28dNEEzsoYfBKTX4i4udNCTfvAjzdmJ4XwzHnj0MQE+XBUvuHfJT/xdPFGt1/koZIbHM3tGbP7v3CY/OHwOt4o39XHoCBDFUGLuZN2h3daehbpm/j94XV8u/B2t1Y//sLSnChe3S1sq5zf0M78V3fS1GkhI1zFJRNimZ8azkaBfXSL0cZb+2rHrogj1TLigxWUt/UvZKkYXvzZBFLDvXfONlKY7DY+rN7vdQFnqiN5efoVRMh9646xtbncRcAAZUOckT2R317Pl3UFfmMWoLfY+N+uao406VHLpFw8LoYlWVHcMCWBjw7V0y7Qt7hSe+L7XNJq5JnNFexOb3d7nFquMw5pbH4hYqVUwnk50by0q//spEiVzGvF1CNNQXsDpZ39RzMHS6vVSIzc96uSL+sLRtQiyF/yrJs7Laz45BD76k4YAnx2pIF7z0jl4QUZ3JCXwJv7anuCXLLji4eTY14O4Gir+5OWqCEaOvrNWuUPizK5dUYSapnnIZ2ZHjHiTZy9xbcNxT75g7dZjaypO+yDV+6Lw0e+yUJEyVWcHz9+xN7PE//cWtFHwNBlSPHKrmoueXcfbxwXcIRSyrzUMO6Zk+Ii4G6MVjtT4l3zx6UiOF8TM6Tx+Y2IpWIxf12aw9uXThR0SwSYFBvM35bmCD/p5/zv2HaeK908YHfEwVJv8v2stTg2G6kPjARO/hKKgSuS8khUuVZ8jQb764TdRXVmO1urdT0N/bQmG/vrOogNVritbkoMVfLv83KZmxzaM2Mnhsj55dxUbp6WOKTx+d2UdqipE6EtQ5RKyne3zBhTUehunE4nn9Qc8vpeuDcxCt8vp5fG5nB58hQ+qj7QJxF0cUwW0fIgVtUc6jfH+2SCpXKuSZ6KzmrkaGcLoVIl58blcmu674N0A2Uw57gGa9dJy6LMSD4v6GtHJAZ+Ni6GSfGhrF4xjV3VOmo7LCzOjBQ8Rx4oQ/5JjUYjBl4E8gAzcFtRUdHRIY/kOF8UCrcm6bTaeXBdEfn1elqMNjIilNwwNZGLxvl/qqXJYaPK4D7FMlgi75P4MFiUYumINDQTiUQ8l3cxC6Mz+L7xKDangzmRqdyUNhO5WMLVyVO5Y+/HtFgHFqBJUIbwq6wF3DoCUfXhMCspjJ01A/f6btRb+PS6qYQHKfi6oIGmTiuZkSouHR/Lr46fG4tEImanhPfzSgNjODPxJYCyqKjoDI1GMxd4Brh4uANqEqgCATDZnLyz/0T+cKXOxL7aDhwOJ5dM8G+bHqVYSowyiBara1AjVKJgZkQy3w8gDdMd58VrGB86Mn8DkUjEVcl5XJWc5/Lct03FtFsH3gOqztTBf0q3cFZMFtnB/ptx9+CCdA40dLC54sSNWCUVu23LkhiqQC2T8Ma10zhWraXJYCEpRInCRx0ghvOqC4C1AEVFRduBmd4YUPIgLE/aLXbeOeAdnyJfIhKJBIsTAOw4qTK49zHuRiFy3WOJgUsTJvJ83iXDHeKwOdhWxzsVe7AOctdfY2rntbIdPhqVdwiSS/jwqik8fW4uK6YkcPuMJNasmMoZKa5GjWEKKdf36n4YopCSGaH2mYBheDNxKND722fXaDTSoqIiQeOgiAg10gF0Yjg7J4ZtHsy5T6ZMZyI6Otjv9soxMX09rp6JugiHzMmq8kPUGtsR0VV91Wm3UGLwXAUTIVcxNTKRg611tFi6ZvOckGgembKIW3PneH2sQ+GTkvV0uslAywqJRGc20WwRPl5pdHQOeAzeGOtQeSC+r2gnp0dx3+rD/Fjagt5sY1JCKPcuSOfq6cl8U9DA858fJr9e39UFIjeGv104HoUPupEMR8TtQO+/qNidgAG02oE1n4qUDU6MoTIJzc3+cZ7YTUxMCE1Nribjj2Wdwz0p87h198dsbi0f8OtpLUZ+qO9absfKg7ghdTr35ZyJUiIVfB9vjHWgtFmM/PrAGr5tLHZ7TWmH57PxMJQDGsNwx+pNmjstvLizisZ2E1PigpmfEsYds5IRi8Ws2lXBnWuO0GI4IYfDDXqONnbw+qWTPLyqezzdvIYj4i3Az4CPju+JvWKSfEZKOCFyCR0DqF7quj4Mk80+ZvotRcjVtAsU3g+URksn21orecRPCgR+c/ALvm4oHPLPR8pU3JA63Ysj8j0NejPXfXSIQ718o7892kKZzsRTy3J5c19tHwF3s6G0hd01OmYmedcvfTgL9c8Ak0aj2Qr8C/iNNwaUGx3EOQJlhUqpiJxIVc/ZmkoiIkol5aP8Bub9byf3fVWI3uwdC1BfEyobXoH4ztZKSvX9F6L7msrONn5qOjbkn88NiuYvk5YzLSLJi6PyPc9tq+wjYOjKxnpvfy0H6to51iocnTfZnIPaKg6UId/Oi4qKHMBdXhwL0HWmes3kWBr1ZirbTejNdnJjg7lyQiw35CWwtbKNTw438FlBIy3HfXs7LHbeP1RPi9HCu1d4pzWGLzDZbbx0bBuNw0zMsOHEaB/9G9axzhba7UNfVVQZ2visJp80dQQzInxXNO9tDrqxVrY44OZP80ny0DAt2QcOH36xJvumuJl39tdS3NJJq9GGwWLHAUQoJSzPiebtG2bS2tpVazw/LYLnt1f2ZMn05sdyLbuqdcxK9r/2LhaHnRt2vc+m5qHPXN1Ey9RMGKEjJU/khScQpwimYYg5zkanjXWNxRToG1k190bSRqiUcrjI3aUUAjUdFqLUciQiXJKWwhQSSloM6M02gr2YOjzqaZdrChv51VeFbDjWSqXOjP64gAG0JjsrDzXw/74r6fMz1e3Cd3+TzcnuGu8vV7zBm+W7vCJggNmRqX7h7BkhV3OhF/KbKw1t/M/Pj5l6Mz/Vc5JGU6eF22cmE39Sqxed2c7TWyq47P39bvMhhsKoi/jNfbXo+tnLPvdTGdd8dJBH1hVT0tJJbJCwx5NEhN/WGO/WDtw/OlkZ4jZHWQycHz/OS6MaOj82HeNX+z+n2qgjSjr8stDKTu+XM/qKe+emMjfZfV632e7g4YXprL9jDkECBT376/U8s6Xca+MZ1eW0w+nkaEv/R08tBivfH+s6pthQ2sLPNDHsqG5zLfVywvsH6jgzPQKpeNTvT30YTFsWi8OBzU0OsgP4R8kmzk8YR/AAmqZ5E4vDzlNFP7Cq5hB1pvZBZkl7JtLHtdDeRCYR8/E1ecx5eQe1Ha4z6sTYYILlUj7Jb3DrwbWv1ntHZaP6TRcBoYPcG1S1mznaauDeuaku/ltOYHVRM89udW0fOtosi8sdcCvRxn7sYCsMWm7d/TEH20Y2W+3ufZ/yfOkWar0s4DCpkmtSpnrxFX2PQirhnrmpLjNtpEpKtFrG3zeX0Wpwb7/kzTlmVGdikUjEosxIigcwG/fmQIOeBWkRbv23fqzQ8sCC9OEP0ItclDCBLWnlfFC1H9MQW5b25ofmUnZuq+TC+An8e+pFPrex2d1axfoG9wkdQyUnOJq7MudyRlSa11/b19w2I5mUUAUf5TfSZLCgNVqpajPy2fHqpXCllCCZWHA2nu3Fs+JRj04/dnYmDXozG462orfaEQEqmRiVRESLSTjhQ2+2YbS6TwYxerARHS2cwOMTlnFp4iSeLNjAnrbqYdcWd9qtfFhzgOzgKO7LWeiNYbrlp+Yyr9x8upkUEsej4xZzZkzWiPWC8gXn5sRwbk4M64828/PPDmPpFZJuM9kQ0bXc7f1Zz0sJ48H53rtpjbqI5RIx/7t4Iocb9Wyu0JIdqWZxZiROIPdfm2kXyNyy2J1MSwglWCZBLyDmibH+E9yyORw8WbiBDY0ltJgNJKvCqDBqvWoO8GH1Ae7Jns/a+iK+qS/E7LCTF5bAbRlzUHohs8vpdGJxevdc+sKECZzTqwPFWOfLoqY+Au7GefwfQEyQjPvmpnLz9KQe50tvMOoi7mZibDATY0/YlogApVQsKGKrw0l5m5HLJ8by1v6++8LsSBW/nJPi6+EOmN/mf8XblXt7/i9Ujjhcjna2MPf7/1Br0mE9bjywuu4wGxpLeG/2dcPq2LChoYSnSzaxv03Y0XEoyBAzK9J/PiNvYBrA6q+p04rR5vCqgMEPjpg8cfI5WzcSEcSFKKjrMCPtFSuKVst4YkkW2VH+MRM3mvR8Uz90k/XBUGHU9gi4m62tFTx/dPOgX8visPN2xR4e2L+G2/Z8zN62Gq+uHM6OyWThCJgYjCR58QOrrtozCHOBgeI3M7EQizMjBVPcIlQyPj5Uz/rSvtUxzQYrL+yoZkmWf3SD2NtWQ9MwGo95gz2D7G9c3tnKHXtXsV9X66MRwaQx1nNpINw6M4n1pS395kZXD9GW1hN+PRM/vDCdqyfHoTzpLKnZYOWbEuECgJ01Og7Ue/9uNxRygqPdNtNWik/cP0WATCQmWq5G5uUos2iQH/HjR771qYABXi/fRZkPrHtHE6VUwntXTOa+M1IIlrv/m7e76/kyDPx6JpaKxTx9roadNe2UnVQZ4q6dscXupK7dQl78CAywH7KCo1gQlSHYt+j29DloQmKoNumYFpbInMhUJCIxNqeD5VtepbBD2GtssNQZdehtFtQSGV/UHeGovplWi4FGsx6Lw8GCpHSujZ2GCLA57Oxo9f0Zu85m4uPqgzysOdvn7+VrjrV2sv5oK1Pig5mXGsH/nZVFbbuZjw83Cl7fZrLSbrINyxjvZPxaxABbK7UuAvZESpiCBWneMSDzBs/mXcxvDqzhp+YyOuxmYhXBnB8/jkfHLxY821UA3y28k+t2rGRTy/BzrYs6m7loyxu020xUGdtckjS+aSjkCdG3yEQSwuQqdAM0uRsunhqnjwUsdgdXfrCfndXtPRNKjFrGlRNj+eGY+1VGu9nOlkoty3OH5jEthN+LOFghFawIAXosbrqRieHqSfFerRAZLhFyFW/OupryTi1HO5uZFpZIVD/2sjKxhNdnXsWSn16m3DD8nOL8DuEG5d2YnHZMTjsdJu8l5XsiRKrgksShOVz4C3etPsK2qr7btiaDlRd3eY7iK6Uikj2UKg4F//m2u2FmYiizUyPYVuH6ZZ6XGkaYUkZFm5FotZwLNTHcNEQDbl+THhRBetDAS+1CZAr+MfkCfp+/lqLO0TcAGCqRMhWtvWZ3uUjCLWkz0YR4byYaaewOJxvLh7ann50cxuQBRrIHit+LWCQS8eTycdzy/j4qe7WQnJkUwksXjScu2Lt3NX/hcHs9zx3d4pPeTSPJvyb/jDKjlgO6WpRiGRckjGfZGE/yMNkcmNzl/HpgTnIoTy31/u/u1yJ2Op08u62STwsbqdSZUEvFJIUquHV6IjdOT/K7SiVvYbbbuGff5xzuaBjtoQwLuUjC8kT/6KfkTdQyMcFyKW2mgWexXTUpjucvGOcTV1a/VsGre2r4+09lFDZ2nbUabA5KWo1sqmg7ZQUMsLJq35gXMHQdsZ2KiEQiLswduNn91IRgnlqW6zNbZb9WwucFjdgEAlo/lms53KjHOYJd+kaSaqPnhAG//tB6cekYD1554unl4wiTCxduKKViNJEq8hJDuHFqAu9ePoUgN9d6A79eTtd1CNvwdFodrPj4IGJEyKUiZieF8diiLGLcOH6MNXKCPM9gQRI5HcPo3eRrgsVyLkmayD3Z80d7KD5DLBLxy7mp/O3HMpeU1KsnxfGP8zQj5pPt1yJODFG49dPq7ahwTGuiVGvk8+umIvNycvlocEXyFN6u3MNuNymTqeoIv15uL4/X8M+8i0Z7GD7nvjO6mqN9VtBAtc5MTJCcZdlR/GFR5oiOw6+/8ZdOiKWfnuM97Kpp54NDns9DxwpSsZhXZ1zB4pjsPmmYEmBRTBb/mHSB23ROf2AsWe30x8ayVs5/ew/TX9jGeW/t5unNZdgdXds4kUjEr+el8f0ts9h060zunpNMSpgSrXFk7YT9eia+dUYyBouDV/ZWUy/gZXQyhU2jW2zgTRJVYXwwZwUdVjNf1h2hydxJXngiZ0ZnIBKJuDl1Jv8r296n5/HJxeejgYiuZuSnAr9bX8wb+2o5rlmqO8zsrdNTqTPx3AVdUffX9lTzyu5qKtpMPQlJ/95azk3TkvjHZSPjge6XItZbbJhsDqJUMu49IxWVWsaj3/Rf0hehko3A6EaWEJmCa1OnuTz+hwlLmR2Zylf1BZjsNtLVETxfOviyQ2+zPE7D2TFZoz2MYfNNcRNv7K0VvCl+WdjE3bNT+KFMy5MbS10MG5sMNp7fXsnszCjOTnLviukt/ErEde0m/vB9KVsr2zDZHIyPCeL2mUncMDOZZzaW9nR8ECIlVMGl46P5365qZBIRV06KI1juV7+e1zkvXsN58V0tU98o3zWis3CcIoj5URnorUbKDW2EyVQsis3mvuwFftehciisOtLo9u+ptzrYUNrCqiONLgLuxmx38snButNLxHaHk9tXH+nTkX1nTTslLQZ0DhHBCqlbEU+KDWZSbDCXrDxAQ2eXw+B/tldy//w0VuT5Zxqmt0lWhbnkkg8HhVhKvCKYCmOb4PNixDw39ZIx7Y/lCa3RvVMlQLBcSrnW5PEa3SCSQYaD3wS2Vhc0sEvA9UBrsvHYN4VUtPX9g0WrpDy1NJv3rpjE78/OYHVRY4+Aocva9omNxyhuPnX2yZ5YEpvD9PD++xklK8M4JyabaWGJRMqETd9j5UHsXfJr/p13sdvXseM8Zc/pAVLDPfVTknPFpDii1J7nwJFqZOA3Ii5qMbidRYwCearNRhsmu5Ol2dGsLmgUdLhsNdp478DIejOPFmKRiKcmnc/UMM8rjycnnsvKOStYt/B2fjr7bmZG9RW+WiLjjsy5xCiCmBOZyviQWMHXmRqWiMJP2qv6glunJ5EY4noCoBDD787MJFguZVFGpNufz4lUcf9ZIxMb8BsRp4UNvhVIeVtXdUyH2b19rX6AfY5PBaaEJ/DNgltZFiucZD81LJHzerWAiVEE88PyX/Db3EVcnDCR61Om8c6sa/lV9gKg66jrnsx5RJw0Y6epw/l1tm8tckeahg4z/91RyWt7qtGbbUyKC+GFC8ezNCuSGLUMlVSMSirG7ID7vynispX7uXpyHJdPiCVU0bWlEAHBMjEXa6J54/JJpEWOzFGb39xKr5wUxxt7azhwkqeWVIRg6iVArLrrTpkbrQY3vua9HTRPByQiMa/PvIpf7FvFtw0lPV7RE0Pi+MvE5S6N2IJlCu7PPdPt612ZkkdWcDTvVe6lxWIgRR3O7RlzSFX7j/HCcHl6cxlv7K2l6XjHhhd3VPHA/HSuy0tgfloEXxU1cs+XhT0m8Ga7k82VbTy0roR1N82gtt3Entp2JsYFMy565L9vfiNimUTMfy4cz2PfHWVHtQ6jzcH4GDWLMyL58HADzZ19Aw3p4UpundHVnPquWSmsP9pK/kmNnxND5JyR4n9tTn2NXCzhtRlXsau1iq0tFcQqg7kiafKg+kH1ZnpEEtPHWCPwgbKupJlnt1Vi7uU60R1PmZcaRnqEmk+PNAl2cTjc2Mn7B+u4aVoS6RGjl+DiNyKGrkDAR9fkUakzojPaGB8bhFQsZl5ODH/bUMKhBj0yMUxPDOXRszIIP34uHK6S8dblE/nX1gq+KWmm1dDVjqy2w8LSt/Zw1aQ4/rl89DsJjjSzIlNOOX9nb7OmsLGPgLtpMVpZ8ckhfn9Wpsc2pNU6zxHqkcCvRNxNapgKjk+gTqeTxFAlt0xPJCFITmKYknHRQYhEIloNFl7dU0NTp4XUcBUTYoJ470B9nwCZxe7k3QP1KKVi/uKDguwAY5t2D/GUkhYjd500QM0AABp+SURBVK45QoTSfRJR9gjtez3hlyLuprCpk4fXFbG7th2bo8uI7OLxsfy/c7LZUqHl118XUdHrTijG/TnpygP1PLIwgzAPH0iA04/caDXrjra4fd5kc1Kndz8Trytt4eopo+uj7TfR6ZNxOp08sLaI7dXtPd0PmwxWXttTw/PbK/nrj2V9BAye84YNNgcf5ftv5U+A0eHu2SlMGEbvrrXFzdz/TSG17aO3rB6WiDUazaUajWaltwbTm3VHmwVbXjjpMgvYVzd4g3jHKZycEGBoRKnlvHP5JG7Ii0chGXy6qM0J7x6o55w39/D2Pu/1qxoMQxaxRqN5FvjrcF7DExVak9uZVWeyue1N7I5YtZQrJ8YNe1wBTj1SwlQ8s3wc10weeseBZoOVv28up0EvXP/uS4azJ94KfA7cOZCLIyLUSKUDP+K4ZHoyf99SQYfZNf90SlIY0cEm9tUOfDaOCVGSEBtK6AhVOsXEeNeW1JcExtrFvy+fQnm7mU29zN+j1TI6rfYB9bxu7LTy+dFWft8rgDoSf9t+RazRaG4FfnPSw7cUFRV9qNEMvA+HVju4lp5xUhHLsiJZdaRvO4xwpZQVE2P5oqhJUMQqqQi73YnlpJXz4QY9N6/cy8sXTRjUOIbCSNmyeIPAWPvywRWT+eRwPfmNesIUMm6Znsi6khYe/bYYg7uso1606Iw9Y/TmeD3dDPoVcVFR0WvAa14ZySB57oJxxAcr2FzVRkunhdwoNTdPT+Kc7Ghe2SO8/zDanITKxVgEGldtKmul1Wgl8hSsOw7gHSRiEVdPTuDqXo9dl5eAzenk/74tETxT7kYpFbEse+AumN7Cr4+YZBIxf1ycJXhH81Tm5a7zXKvRRoPeHBDxacy6kma+Lm7GbHcwPSGUm6YlopD2H9a5cWoiFruDDw7Wc7TVgNXuxOroK+jLJsQxM2nkMwT9WsSeyIxUs7fOdakiFoHDzc1SJRWR6KZxeYBTnz9+f5RXd1f3FPJ/eqSRdUebeeeKyahl/cdrzs2OorrNRFq4ikilFERQpjWilEpYlBnBLdNHJzV1WCIuKiraCGz0ykgGye0zEtlSoXU5iA9VSGgzCWfhGG1O3txXy31npI3EEAP4EQfrO3h7X62LE8dPFW28sKOShxZkePz5TWWt/PrrImp62Sinhil44WcTmJM8uvn5fpvs0R/TEsN46eIJnJ8bTUa4iomxQdw1K5n4YM8z7ZbjH9rTW8o4WD82AjoBhs8XhcJFDICgGUVvnE4nz2yp6CNggEqdmac3l3ltjENlzC6nAc5ICeeMlL4lcXeuPkJhs/tI+LYqHRvLuzosvrC9issnxPGP83zXYiOAn+Dh4xWayXbV6Hh7Xy11HWaC5BJ21wp35dhb20FTp2VUGxeM2ZnYHXfPTiHWg22K2X7ibtxpdfD2gTpe3zs6mTYBRo5LxsUgFwsrefZJy+Gvipq4cdUhPsxv4MeKNr4paRl0ctFIcsqJOC8hhJVX5ZETOXCnkGe3VWCynT4OIKcjr++txSIQ8ZyeEMwv56T2/N/pdPLfnVW0GAZmcjctMWTU2wedciIGmBIfwpY75vDO5ZO4bnI8MxNDPK2mqNdb+d23JSM2vgAjS2mLgU+PCBe/JIQo+xwxNegt7O1nj9xNapiCB+ene2OIw2JM74n749ycaM7NieaqDw/0a+X6w7FW9BbbKe9VfTry4Loit0GtkpYT8ZODdR3c82UB7uZgpQSunpyA3mInMUTB7TOTifeDI8vT4htb2tJ/ymdjp4VWgzUg4lOM3TU6dla7bxUbctzkzmC188uvCijy8F3Jiw/lH+dpvD7G4XLKf2OtdgetJs9G4AAZ4SriQxRsq9Ly353VHG7Qo5ZJOCM1nD8uyvJpf9kAvmNNYZPbLg0AizK7bGff2ldLkYdTDYDsqNF38RDilBfxmsImOt2kYfbm0gmxHG7o4K7VBX0SSIpaDFTpTKy8cnLgGGoM4qmGPD5Ixv3zuhJ/6jr6L+qPD/bPTpSnZGCrN9oBzMJJIXLun5fGa3tqBa1YNpW1sqHUvYVLgNHF4XTy2ZEGHvimkEfWF/NThbbnucWZ7g3epyaGIhV3SSA93PMsKxeL+MVs/zQd/P/tnXl8VOW5x7+zJTMTMpPJvq+QA4RNFhEBRdHKUvW2gljsRrW11V5raYu3VfvRfqpt6cXtanulrdZalypcFnGjiLKjIkuAkEMC2ROY7JlkJjOZ5f4xJEySOTMhISSTnO9fyZzknHdmzu+82/P8nhEv4luFOOL0gRMeqiwOXjpUSckFM/qeOD3eTX2Z4YfL7eHezQX8cOspXjt2jlcOV7Py7Xye+KQYIGCSvtWnsMDdU5OYkiDtGf2taUkYhqk/24gXccKYcFZOSQr6Rj8qqg/oahh/YShVXN/GL7cX8d2NJ1jzkciJHmb3MleWVw5XsU2s7bb7YHd5ePlwNR+druX5A+WS/3vex4o2XK1k/e0TWTwuBmOYCiUQplKQYQzn9WV5/O4rw9cpdcTPiQEeWZBNqiGcX+8sxiaR2N1oc3LXlEQ+Lamn5xRaiNHzjSmJ7C5t4MH3Cqn2KXj+nljH2ltyWSrEDeZbkJFgb3mj39dtHW7u33YKS4D1EHePQ9nRel69YzIt7U7sLveQB3H0lRHfE3fynekpbPzGVKRSR7Ojddw1OYkH52SQdKGQlgKYmjCGPy7KRatW8dz+8m4CBq8D5/8cLB/RFQKHMx6P9GJjIAEDCLH+o/oMWnXICBhGkYgBZqZE8VU/PWaMTs2q6d5qgvfPTuPqFAOGMCUKwOZ08XllM/VWB0clsp4O11j4yfunKLlECyKZ/lFndXTVD545gCLeX584MowTR8Vw2pc78xLYcaaeVp+ntF6j6jIL+M9thbx3uq7r2Ol6G3/YU4ICr3WLFG8dN7PzbBNP3TSWe0LIeG440uFyU2/tIEqnRutjrrizqI7H3z/F0XMWlEqYlWxk9dwMFmSZ+LTk4rBaCaiUBNwfXjQ2ZsRMgUaViD0eD+v2l3cTMHgLaD21q4Q18zPZVdJ7jtXhhg+L6pmZYmDHmYZexzsxtzlYt7+U78wNnGAu4x+Px8Mz+8vYVGCmvLmduAgNN+XE8JuFY6lsbue7b+dT4VNsfsfZBsqa29mychqbT5n5rLIZjUrBTdkxvHm8hl2lTb2uERmm4r6ZKTw0N3PE7PuPKhEfrbFwVMJ0/ovqFtbtLaW1w382U7WlnRj9GJQErjRxqtbKB4VmrhlAVYHRyvMHylm7p7Tr8y1vtvPy4WranW4iNKpuAu6kqN7KP45Ws3puJvfOvFgwPd2kpbzpFCU+/6NReh8U207X4QbWzM/qVeo1FBlVc2K7y42UWWGr3cl7Yp3/g3h9uz4sbggo4E6cUiZfMpK4PR42F5r9fr7bi+sDrjdUtvTeC56ZbOTdb13FT+akkRcfgQLviKq1w01hnZWn95fzxM4zl+8NDCGjSsSzUoxMjPPfQ6qVSsnsFZXCa8DXF8bF6Fg6ofuCyTmLnd98cob7thTw2I4iSuUFsF60OVxU+xEjeKsrBOoxE3qEQ1Y0t/N5ZTORYWoenp+Fy+3xm8W27XQtrY6+5Q0PZ0bVcFqlVPDA7DQe3VFMo4/lbZpBi7VD+stckhvbp6COKK2aH89OJ0ytxOX28EZ+DZsLzvNltQWrjzXElsJanl6Uy01jYwf2hkYQEWEqEsaEdfteOjFp1fxgZirHzK2c77HFpwDq2xx4PB7OWeys2V7E3rIm2jpcZEZpWZwbS7lEDeGKZjslDTYmJ4b2QuSoEjHA8kmJ5ETref1YDbVWB2lGLd+fkco9m09Sb+stVJ1awc/mZvLkrrPd5ledhKsUzM8wkWoM5+4pSUxNMuB2e7hvawFbC2v9tuFcq4On95ezMCdmxCyuDBSlQsGS3FgK63pHWN2QHc11WdE8tWg8923M72aV4wH+eayG6ckG3jl5nj1lFxezSpvaWf95JUadGqufpepYvYYUo3Yw3s4VZdSJGGB6soHpyd33FxePi+W4n952fkY0E+PHcM+MFA5Xt1Bv695TLJ+UyI9mpfLOyfO8eqQa+6FKmjvcbD8tPb8GOFrTQlG9ldxYeQGskzXzs2h3unm3sJaKFjuxeg03Zkez9hZvyGN5c7tfryunB14/VsNhP4uWLpD01rohK3pEFBIYlSL2x+q5GVjsTrYUmqm2OIgMUzEvI4p1F5LAb8yO4cVbJ/DK4WqKG6wYw9XclBODUgGLXzscsOK8FIPVB5c2Wtl40oxCAcvyEkiP6rvf2FCiVCh4/Max/GJeFqVNVpIjtZh8RNbqp7heJ3W2Dsl9YX2YipU5MWwvrqfO2kGUVs0NWSb+uGj4xkNfCrKIL6BUKHhi4Vh+NjeTozUWMkzhZPikpx2raWFzQS0WhwshJoJbxsUgxOq5481jktYvgZiebBiUJPO1e0r465eVXQb6Lx2q5L6ZaayeGzqG+RFhKvLie89T52VF8+zus353GKYkjKHaYvdbvTA9SsezS8ZjbrNTYG4jN0ZPsiH0h9GdyCLugUGr5rosU7fXdpc28ONthZzzyTV+v6gOvVrZbcGqr6REhvPzedLBBrtLG3kjv4Zqi53kSG8W1nWZJr9/68uukgZe+Kycdp8kj0abk+cPljEnzcCc9ODnuBJ4PB5OmFtpbncyK8XYqxbS/508z1axlsb2DrKidNw7I4VJCZHcPimRhdkxbO+R2z0+Vs/jN+Rgc7r5sKj7sQiNsqvucHxEOPFZQ++JdbmRRdwH/vx5ZTcBd3KpAs6K0rIkN5Z7Z6aQYvA/xN1w8hy/+ncxTT6rtDvPNvDUzWNZlhe4CPaWQnM3AXe1s8PNplNmvyLemF/NC7vPcrbBhkmr5uZxMfzs2syAIab95c38Gv5xpIrCOivWDjceYGy0ju9NT+kK1Hh6XynP7C/rqj54oLyZ3aWN/O9tE1kaF8nfvpbH0/tL2VfehN3pxqRVc31mNJFaNX++dSKP7ChiT2kjze1OcmL0fHta0oiJkZZCFnEQOlxuTpgHljOsANYtyuXuqUkBV6PdHg/rD1V2EzBAU7uTv3xRxR0TEwL+f6BC2F9WtdBqdzIm/OJX/q5oZvUHp7sqTJY3w7HzrdS2Oi67Idwz+8pYt6+kV5pncYONx3cW88axGlweKGmy9SofWtli58XPKlh6VSrhaiW/vC6bHcV1PLm7hE9Lm/i0tImXj1Rxz4xUnl0yHrvTTVuHC5NWPSpW/0dVsEd/UCkVaFUD+5iEWD0rJicGvaEqmts5KbEffcJsoUJiv7OTyQGcKY6b27j99SOUN190L3n1SLXfErHbxFqqWvy7nPSHNoeLN/Jregm4E4cbTtS2caqujXaJ0c0J88UMskabg4e3F3HS3Nb1WkWznbV7StheVEe4Wkm0TjMqBAyyiIOiVCiYkz6wqnfL8xLQ9OFBUNpok4xM0mtU6IM4bn5vRgrXpEqn5h03t7F2T2nX72cb/Au13ubk0xLvfmujzcHGk+c5UN50yTnTp8ytPPZxEd/bdIKyIA+gYGh95s2vHK6mwk90V+e0YbQhD6f7wK8X5FDW1M6BCmn/4kDEB3FJdLjcPPBuAR8U1eGQ2KmanRZFrD7webRqFa8vm8wP3z3FvyWyrb70qW5g0mn8xh2HKSHbpOXJXWd4+8R5aiwO1AqYkWLg1zfksLesifxzFsJUCr4yNoav+xnmv3K4iqd2naW5H1tv/lD7zNEbbNLmh/4ivkY6soj7QGxEGJtWTuPVI1W89EUVVS3t2F0eYnVq6mzBb5rdpY2smJwkefyn74tsKZQODonVa3h0QXaf2jomXM34WL2kiH2jiBdmR/sNcJmVGkVhrZUXD1bQuU7m9MBnlS0sf+tYt+inrYW1fFHVwu99PKiabB08d6D8sgkYwNbhwnmhGF5evPS0ITNq5Gwd9RVZxH1EqVCwanoqq6ancs7STo3Fga3DxYq383stxPQk0FG3x8M2MfAQsM7awfP7y/nTbRMC/l1Lewff31LA3jL/vlNAt0i1NfMzsbg8bMyvpqndhUbpTRL571tyeXj7afzZkfUMX3R54K3j58g26ciO1rMgy8TbJ85RbZF2mewPje1O2i4MU5ZPSuDN/HMc7FHZIcOo5Qc+6YijBVnE/SAxUktipPeJPzvVyO6y3snnvszPkN6f/aioTtK8z5ftZ+ooqm9jXIx0mOZjHxfziR9Tg04mxkWwZp7XsOC8xc7fj1ah06j48ex0xmhUCHERXJsehUKhCDhk7Ym1w82jH3vT+ibE6plwibnUnQPlQJ9CVpQOg1ZNXas34+zvd+Txm0/O8lllMw6Xm6mJkTx4TTrZ0cOzSsNgIot4gDyzRGD1B6c5WNGIv9Hj7ePjWDFZen+3SiL9rictdhd7SpskRexwudkb4GEyLXEMG+6ahkGrZptYyyM7iqjxyQi6JtXAq3kXq1xkRuk44bP621dO1VmpsdjRqxRYg4xQOsmLj2D13ExKGm0crWnh3R553eEqBXf2WN2P1oXx7JLxl9y+kUi/RCwIghH4J2AAwoDVoigeuJwNCxXSjDreuWsqR6pbKKpvo9Xu4lSTHVu7g+syTSzLSwiYC7swJ5qIXcqgoZthShgfJ93LOJxuWqVWxYDj51vZUmhmxeREfr+7pJuAAQ5WtvDkrrM8fmMO67+opM7aQZhKgaOPQvSl6RLmwhqlgj/fOh7hgi+Z2+Nh3b5SPjxdj7nNQbpRy7JJCayannLJ7Rgt9LcnXg18LIris4IgCMCbwPTL16zQ46pkA1ddmG/GxUVSW9u3ihFZJj23TYjjzXz/9XM7uTrVyJy0KMnjEWFesz+p1VmXx7v/q9eoOC1R+W9/WSN3vnWMQz7VLhR40zE73NAxCI4lM1MMXQIG79rDL+Zl8Yt5Wbg9nhFhnzPY9FfEzwCd40A1MLBNwFFOhFr6a9CqFVyTFsUfb8kNGLywdm8JpxsCD38bbU6sEh5iALVWJ8WN3b/KTtkOhoDBm5nk8Xj8vjdZwH0jqIgFQbgH+GmPl1eJoviFIAiJeIfVDwU7j8mkR63uf3nQuBCzge1rex1ON59KVDEYE6Zi86qZLMyND3iOI5XNrD9UTQB9At6yJX/5skryeJhaefHR7IM1wMKbWqkYkKdYVasDnUFPpLZv/clIvQ8GQtBPThTFvwF/6/m6IAiTgbeAn4uiuCvYeRoH4Ct1KcPT4cCltLfe6uC8xOJWq8OFw+qQPJfD5ebxnWfYcPI8lgC5tp3UWOzUSGz9xOrUpBrCqW3rnegRiAVZJiI0Kr6sbsHj8ZAZpeVQjQV7H1bcwWvc39Zspd0SvNcdyfdBX84lRX8XtiYC7wArRFE81s92yQBRWg1pRi0Ftb2HwimR4QgBnD8eel9kw8nAc2mlwuvUGYyJ8WOYmWLgSE3fb7oorZqnF+WSGKnF7fHg8XhjzZ/cdYb1h6oCJmR0cnNO7KBkTI0m+jsn/h2gBZ7zrmvRLIri7ZetVaMIlVLBsrwEntp1tldwxVeFOCLD/X9FJY1W/l0c2AIIvIW0q1uD7/mqVQoeujaDIzWWgHvNvsxNN3btlysViq4N30euz+ErObFsLjTjcnuYk2qkud3BhoJaCmrbaLG7iI/QsGRcLI8ukI32B0q/RCwL9vLywOw0FArYVGCmqsVOXISGxbmxPDxf+gbfV94cNKxxbnoUbreH6tbgMd9XJRnQqlW8sXwKG0566/weDtIr35AVI3lsVqqRWandE0e+PT2NimYbxfVWpiRGEhMkFlymb8jBHsMAhULBA7PTuf/qNKwdbnQaZdCV2bz4CLRqhV8TAGO4im9MSSIiTMXhav8VL3yZnWrkgdlpgHdksGJyEmlGLXf+K19yn3jZxHi+OU06HlyKNKOONGNoeH6FCrKIhxEKhYKIIOmGnVyVZODatCh2+hn6Zpv0/PNoTVdJGq1a2S1PV69RkhOtJzkynLljY/nWxPhe17023cT8DBMfn+2eSKFRwgNXp/PL67NGTb7ucEcWcQjz3NLx/PzD0+wra6K1w0VyZBhZUTr2VzR3i0Nud7qJ1qlZmhtLtC6Mu6cmkmnyRn8FWkFdf9sEHvm4mL1lTVjsTnJjIvjO9GTunBTYJkjmyiKLOIRJGBPOa8smU9JgpbTJxoxkIz/cWuA3kaDB5iQ9SsdP5vTd9TJSq+H5pROwO93YnC6M4aPD7ibUkEU8AsiK1pN1IXunLUDER1uA2OpAhKuVvRwpZYYP8jczwhgvsa8cplL0yfZWJvSQRTzCuH92Grl+TOkXj4tlXoC8ZpnQRR5OjzAyonS8tmwSLxys4KS5FZ1GyfwMEw/OSR/qpskMErKIRyBZJj3rFl9e32iZ4Ys8nJaRCXFkEcvIhDiyiGVkQhxZxDIyIY4sYhmZEEcWsYxMiKO41CJZMjIywwu5J5aRCXFkEcvIhDiyiGVkQhxZxDIyIY4sYhmZEEcWsYxMiCOLWEYmxAmJVMRQLKUqCMLXgOWiKK4c6rb4QxAEJfAnYCreCkz3iqJYPLStCowgCLOBP4iiuGCo2yKFIAga4GUgEwgHfiuK4tbBvGao9MSdpVSvB74LvDi0zQmMIAjP4a2SMZw/3/8AtKIozgH+C1g3xO0JiCAIa4C/4q08Mpz5JlAviuJ8YDHwwmBfcDjfZL48A7x04edQKKW6H/jRUDciCPOADwFEUTwIzBza5gTlDPD1oW5EH3gHeMzn9+CV7gbIsBtOX65SqleCAG39lyAIC4agSZeCAfCt7+ISBEEtiuKg33T9QRTFjYIgZA51O4IhimIrgCAIkcAG4NHBvuawE/HlKqV6JZBqa4jQAvjWy1QOVwGHGoIgpAGbgD+JovjGYF8vJIbTPqVUV4qi+MFQt2eEsA9YAiAIwjXA8aFtzshAEIQEYDvwsCiKL1+Jaw67nlgCuZTq5WcTcLMgCPvxFiVdNcTtGSn8CjABjwmC0Dk3XiyKom2wLiinIsrIhDghMZyWkZGRRhaxjEyII4tYRibEkUUsIxPiyCKWkQlxZBHLyIQ4sohlZEKc/wfJfLQuogEZbwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_circles(labels=circles_targets['y'])" ] }, { "cell_type": "markdown", "metadata": { "solution2": "shown", "solution2_first": true }, "source": [ "The plot above is colored using the true labels stored as column `y` of `circles_targets`.\n", "\n", "**EXERCISE:** Use KMeans to fit this data as two clusters and plot the results using `plot_circles(labels=fit.labels_)`. Are the results surprising?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "solution2": "shown" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = cluster.KMeans(n_clusters=2).fit(circles_data)\n", "plot_circles(labels = fit.labels_)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "shown" }, "source": [ "The clusters found by KMeans are not what we want, but also not surprising given that KMeans partitions samples with a simple dividing line (or hyperplane in higher dimensions)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Create a new dataset called `circles_3d` that is a copy of `circles_data` but with a new feature added:\n", "\n", "$$ \\Large\n", "x_2 = x_0^2 + x_1^2 \\; .\n", "$$\n", "\n", "Think about how this new feature changes the clustering problem, if at all." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "solution2": "hidden" }, "outputs": [], "source": [ "circles_3d = circles_data.copy()\n", "circles_3d['x2'] = circles_3d['x0'] ** 2 + circles_3d['x1'] ** 2" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "By *increasing* the dimensionality of our data, we have turned a very nonlinear clustering problem into a trivial linear problem! To see this, plot the data in 3D:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "def plot_circles_3d(labels, data=circles_3d):\n", " X = data.values\n", " cmap = sns.color_palette('colorblind', 2)\n", " c = [cmap[label] for label in labels]\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111, projection='3d')\n", " ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=c)\n", " \n", "plot_circles_3d(labels=circles_targets['y'])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": { "solution2": "shown", "solution2_first": true }, "source": [ "**EXERCISE:** Finally, fit for 2 KMeans clusters in your new `circles_3d` data and plot the results, as above. Are the results surprising?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "solution2": "shown" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = cluster.KMeans(n_clusters=2).fit(circles_3d)\n", "plot_circles(labels = fit.labels_)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "shown" }, "source": [ "This is exactly the result we wanted, but not so surprising after seeing the 3D plot above." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kernel Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many classes of problems where nonlinearities in your data can be handled with linear methods by first embedding in a higher dimension.\n", "\n", "The embedding we used in the example above was hand picked for that data, but a generic embedding will often work if it adds enough dimensions. For example, the function below is commonly used to embed 2D features $(x_0, x_1)$ into a 7D space:\n", "\n", "$$ \\Large\n", "\\phi(x_0, x_1) = \\begin{pmatrix}\n", "x_0^2 \\\\\n", "x_0 x_1 \\\\\n", "x_1 x_0 \\\\\n", "x_1^2 \\\\\n", "\\sqrt{2 c} x_0 \\\\\n", "\\sqrt{2 c} x_1 \\\\\n", "c\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def embed(data, c=1):\n", " # Embed X using the poly kernel with n=2, c=1 (see p.16 of CS229 SVM notes)\n", " x0, x1 = data['x0'], data['x1']\n", " X = np.vstack([\n", " x0 * x0, x0 * x1, x1 * x0, x1 * x1,\n", " np.sqrt(2 * c) * x0, np.sqrt(2 * c) * x1,\n", " c + 0 * x0\n", " ]).T\n", " return pd.DataFrame(X, columns=('x0', 'x1', 'x2', 'x3', 'x4', 'x5', 'x6'))\n", "\n", "circles_embedded = embed(circles_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A pairplot of the 7D embedded `circles_data` shows that this is peculiar embedding, but it does allow a linear separation of the two clusters (via its $x_0^2$ and $x_1^2$ components). It also seems inefficient, with one feature repeated ($x_0 x_1$) and another one constant ($c$). However, this is just the simplest member of a family of embeddings where $c$ plays an important role in fixing the relative normalization of the different groups of [monomials](https://en.wikipedia.org/wiki/Monomial)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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lu7/dWY+PBjIj5raiW2DvtEu63R0YRgSHey1xH/q6DLhlceK4WYtKFTBu9UKjVuCrZ1twc9SRU67Mw9yfxP5y8mgtfvgvQ3B5Azj9cC08vg0MTiyhs6kKCpkEEglD24eKhLE5L64PZ1bO/fypRgxNumnM2UVyGd8BJH7DW4l7zJlYdEt21l0ftmN1LYSTXTpcH3Xyzg8CwQjGrR78T984huGZZTg9G1jfCINlY9CoS1GvK6dKqsS+IpOJEbs/vKQvCMRi8e9DIf5ch4Qw5IwjCCJn4tVI1TBqlZmTjqRIn+XVDYTCbGL1kC9h/ckuHWJAyoogtwXgXE89YjEWTz9qglYlBwDBSVE+ktlyVVn58oxRMt3CI1fdRtgYnN4Argw58PVz/Lrl8rPwbV3hdPvUCRM0SlnGZD2d/dYu6VaY2fta0FWVIhplcdyszdDK0KQbzz9xJPE31J9EIVBbVYp6vQomvQoXP50HAKjL5Ym8Uo936nZUKIkoDBhGhOmFVV7HzYJrDT1mLY05u0iu43tbQyXs7rVNK3H3tutSbIpjeR0ubwAra0He87u8Abz2ci9qq0thmVvB1cHFjLnLTotJEcRWYNkYYjHg+v1K3cl25gunm0iH24SccQRBbImTXTq8c3km66SDczIkR4ckb62bsftwY9SBpZUg73HcK+tQyCX42fvjcHkDaG9Q41S3HnNOX8Zgvx/JbPkmO32d/HnGKJluYZKLbm0OP57urcfwlJtXtywbw5zLj/dv2niP4/KuY2R6GYFgBBKJGJO2FbQ1VBaUdkm3mVidPjzaocP0wipcngBiALRVioztRcFwFEveQMoWZaF8g4e5P4n9hWVjaNSrMGtfRW+7LrFNjss99cndBXzz6dZ8N5PYIcmVDNNZXFrDl8807XOLip9c7GVfpx6jMx64PPxVjV2eAHRVpQlnXfp2VqNOCX1VGa4OLabY6lZjJfRqBWYdPoxbPbxzjuRiUuSUI/aDeZef187Mu/z5btqBhZxxBEFsiQadCk6v8KRDXS6HUavE4OQSHm7RZEwOZuw+vP7WANTlcsgEykhWVyjw0cADh4fVHl8FPN1twMXbC4nfyaVimE1quFc2BBPZ72SCkq2KllDUFG0ZKExy0a1GrYDbG0BnU1WGZrjqvW+8Oyp4Dpcnvk3s4qfzKVFzhaRd0m0mU4s+vPPJtGDEZDLTC6uwewL4+PZ8om9ffbEbI9PL2yqoQRC7QVdTFdwrG6l2k4ue6THSi3oRwLIxNBpUvPl3m2rLYVCX0j3eZXKxlyatEt/5Qjveu2njvTdGnRLaSgVuWVwABLazptkbuVSMUCSKOZcfQ9PLcAo4+uYc/gx7RNW8ib2kUikXtDPE9ihIZ5zZbNYCGADwGYvFMpbv9hAEEcfq9KN/zAF9dRmsdv6S6+NWD8rLZFCrSnijQ64Ox5PiyyRi1NaUZUxe5FIxVtdCvKuAMokYz51sxPD0csqk6LO9xoxJaC7l6LO9oORSRWsnifSJ/SNX3ZbIJJhz+PDF0/wRBv1j8dB8Pt1yn3tWNwpeu6TbB3B5gbi+kkvFUJfL4VkNZuT0A4BmYwVef+tmomp0ct++9FTLoe9PIj/U1ZSl2M1kHa+uhehZLwJm7D5AJOKtsFlbU0b3d4/YzF5y9rqijL+qsYQR4XhrDQLBKBzL64LbWWOxB+k0uIJBmkoFbt+L57flm3M8VC9sj8ghR+wFvvW4nUm2McFwFL51/sIOxOYUnDPObDZLAfwIAP8yAEEQeSH5Bf9Udy3vpMOkV6FEJsHaRhjf+UL7/ST4D2AYEUQiBl3N1XB5AmDEIpx5pBaX7j4Iz9dVlcLm5A93nphfwd986wT++GxzyqSIz5mRzRmRi7NjsypayRMzmgQXLlvR7dWhRTx13Ai9WpF5HJcfrpV4bhc+3cqlYlRXKjA4scTbjkLULuk2zsKSP2PrUFdzNTSVClRXlGDh/tYwuVSMqvKSxIsPRzAcpUTaRN6xufh1XF4my3fTiF3g4zsLuHRnAX1dBgRDETg9AWjVCpj0KrSZqGLuXiPkiOPsNcOIcPKoAbFYDHNOPwzVZWiuq0CrsQLGGiX6OoHRmWXe7awMI0J5mQxsLJYoGNTXZcDdCTeqK0oglYh55y41lQqyR8S+Mu9aw6nuWtqmuosUnDMOwP8G4IcAXst3QwiimNnqSnnyC/7VocVEVUqbww+tWgF1eQn+7eosWDaG117uQb0mcyVxxu7DRwNzGeHNXzpzBANjTujUCpSWyOAPhHhXAXNJis4wIvSPOQSdEQB/8v3klcRsVbTGZj34/Q0rbow4c94SQFEJu8tW+pNPtxuhCFzeAHRqBSpVcd0GgpHEdtL046c7yFJ0O+qEUauERCzCBzfn0NlUtS3tcufM5kgDSLu7DcvG8JCxEvVaFe/WoeefaMKNYQe0agXaGqtw6fYC73FGppfxSU0pGnWqjEWIZIq9P4n8EImwaNCrBHX8eAdtnT7I2D0BTNpWwLIxXL67kIhKGZx0w+kN4IsnG2lc2SW2O79g2Rgu3Ynfm6+ebcazJ+oTv+Pyz37nC+14rz9zO2tfl4F369/nTzXC7Q2gf9SZkqdrt+wRQWwFlo3heJsW717KTOtBBRy2T0E548xm858BcFkslj+YzeacnHFqdSkkAnmn0tFoVDtoXWFSbNdUbNcjxFZ0uxVy6b+RaTc+vmXD8PQyOpuq8ORxIzqaqjf9uzHrgxd8lo3h5qgD+upSnHrYgLVAGHcn3DjXY8STx+N5A355cSrjHL+8OMXraLA5fPirbxxDOMLiwoANihIJ7yrgUyfqBa8x+bp0VaU480gtJmwrcK882DY4tbACsVjE24YbY070dBoSn3UeqeKtoqWpLMHb9/NLcc6QH/x5H28fbrevC5m90G6uz/12+jNdt5fvLkBVKkVflx7PPNaACwM26KpK0dFUha7mGvRbnPiH34/lpNs5uw9SCYMzx4y4O+GCvqoUbY1qDE26c9Zu+jWJJQxqa8pSdAuQdndKNt0+29eAn78/zj82Of04btZidT2EX340gc6mKszw9K1Rq8TFTxdwVyXH0ydMeOKRupTv97s/i8GWFsM17Aa5jrmnuutw/sZsTmPEVjgo96GY2/nx4ALqdcqEEycYjiaqcNdWl6G6uvAcLns1z90qezm/WFrZyJirhqMsVtZC+Kf3xzFu9UJfU4aH6ivQ3aLB8Q4DShSyFIe5XCpGUGDrqmN5HbcsLjzarkUkGoPXF4TZVAmJhME7l6bQYqzclj3aKgfl2doNNtPtYeoLPpa8AYECZoGCHIf2m+3oo6CccQC+DSBmNpufAfAIgDfNZvMXLRaLXegPPJ71nA6s0ajgcmVGKxxkiu2aCul69nqwzVW3WyGX/svYAre4ig/653LKL9FmqsTs4mrGNhir3Y/PnjDiq08cSSS55zvH97/9KIanlnmP7fRsQK2QgmVjePHMETCMCI+3a3FjzImRpBxbGqWM9xr5zsklFHV5A4ktiI88pMGNEQdvG8ZmPBgYWcTVofgWwFPdel6HoFwmSfksGI7iw/45aJSpW4F20tfbZT8mCbut3Vyf++32J6dbACnaHZv1QiSKV8P82tlmzDp8+Ns3t6hbbwB/8aUu6NUKtNaqwNzfgtrdosGH/XMpCZ/5tJurblk2VtTazbdutSq5YHGPhaU1sGwMUimDL5xqQpRleZ2tIpEIk/MrAIChSTdKpUyir/LRn4ViS7fLQbmGfGs3mTZjOf6/9/h1PDzlhtvt33LkwkG6D8XaToYRwb8egZjhzxfXaqrc8jELSbd7yV7NL7h0Ecnb9Dhb3ddlwAf9qTtA7oy7MGf3IbAeyigK8XiXHlcGF3nbZXP4UamUYXzOC5VChrbGKri9ASwsraHFWImm2oot26OtUmjPVj7fzwqtL/YbiYTBzGKm8xeIPzMezxoiEZb3+8NANn1k021BOeMsFssZ7v/NZvMFAH+RzRFHEMTW2CyXVDa4Eu+97bqMbTA3Rx2JSYvQOS4PLqKtoZI3YqetIXULHxfS39NpyOkFQuicLm8AQ5NuAMDpbgO6mtRYXQvytuHxLj1eT3LGzDl9ON1tgEwixsT8Ctoa1ABEeO/GbMbfWqyejK0NO+lrIpPt9ien22A4ylvFjNvmuR3dtjdUpeSX4+5/R1M1NErZpttdctEt12bS7t7BsjG0N6j5i3tUKnDn3hJ623V455MphKNsymKEUaeECCJcHXrwMpWes+ew9SeRH1g2BqNWyavjOq0Sg7MedNZTbrGDiM3pR/+oI2Xs0agVaDSUo9FQnu/mHXi2MkYLpa3gbHUozB/ltrYRQf+YM6OIUnW1Ep7VDd7nVqtWYJCbCxw14HeXZ1LOOzK9jG8+a8bC0hpGppdh1CohEmW3RwSxXTazMbRNdXsw+W4AQRD7Q7ZcUharBxJJ9uHApFXiP/13PRAz/Fvlrg47sp5jeHoZfV3xiJ1k5FIxb9VVjlxyxHFbBdJxeQJQl8sT1SzrNUr0dWa2QVUqhWN5PeW6WDaGi7cXIJeJ8TffOoGvnW1GLMamJOzXV5dCLhVn5APbrK8ZRpT1mohUdtKfJq0S33ulBy8904ooy/Jq99qIA5Pz/Kt929UtkF27DCPC5PxqQkPJJOtWJAK+90oPaXePEbrHJbL4miVXAY/b6jw06UaFUgaHex2X7y5k3Oux2XhfHdb+JPYfmUyM8lIZr47LS2VYoATbB5bFpTVIxQwm570Yt3oQikQxNOlG/4gDR/SHe9vcTslljObGaYYRCTruIlEWX3myGQ6eAg1A3K47ltdTxnzObvDZdrlUjKd6jXjmRD1MehWWVzIrtQeCEVgdPnztbDOePmGEYzm7PSKInbCZjZHJ8r8t/SBSUJFxyVgslrP5bgNBFBMsGxOM8DFqlfjB/3sTzXXlgkndrU4/hmeWBUOULVYPAGQ9hwhICc/ntvBtd8Uu21YBANCoFYkIo4n5FTCMCCatEt//9qO4PLiI4ftbYJ98pBY/+u0w7zmGp5fxx2ebAcQnTBdvL+C4WZtSSajzSFXK32Tr61yKUBCpZOtPXVUpfnFhAifa+HXEaWRpZYO3ihkQn6ieaNdiwpY5IddVleLmmAOvvtiN4anlXdEtEC9moqsqRcgRzdBusm5tTj8adCqwbAyNehW+90oPrgw9eH5Iu7uDSaPEn37OjNEZD2wOP4xaJWo1Svz+6gxaTZXw+oIpvw+Goxi3evFwqyaxHSiZlrqKRF8dxv4k9p9QKAp/IJSR6F1dXoJAMIIZyyqee7wBoVB084MRBQPLxtB31IAJmxcuTwB1JmXcXngW0VpfSWPIDslm81rqKvCLCxMYnFpGvVaFOo0SozMe3uMsr27gL184ijmnnz/KWq2AvrqU934lb10dm/WgXqeEUiHFx7cX0Fxbjm89144f/Ybfzo/PeWH3BNCoU+GuSs77G7I1xG7AsjH4AiE8/8QRLLj8sDkfzJXs20iDQMQpWGccQRA7g2+LHLdlDwDU5XJ4VuMvmLEYMGHzYsLmzajOCDwIyweArubqrNUik7cFcsilYsRiwN++OYDXXu7B188177iqoNBWgad763Hx0/g1liTlyGprUGPG7sPV4XherbaGSnz7uXYYa8ruf7/5C7NJq8S//+pR/Ndf3k0579CkO6PPhPphs2iqw46QLvo643lVyhRSeFaDCIajkEvFkIgZvHtlFuf7bYK65X6bTbtdTVV4mycfj0TM4F8vz0J+w4bvvdKDbzzdsuMJh5B2T3cbcH3Ysalu+7r0Ke0g7e4cq9OPf/q9BUB8bBwYc2JgzInPn2rEwKgT9ToV6jRluHT3gbM/GI6iTlOWyOPEVThcC4QRikRhdfph0ioPZX8S+eF4qxY/+s0QRIwIT/fWw+0NwDLrQYNBha7matydWkabsSLfzSS2wNCsB7/5eJLXXpzu3l5RDiIVoTE6FIni/M05AIDV7oOqVIqjLTUp8wguFy0A/Kf/6zoa9EqceaQ2xVbIpWKUlUjQa9YKtsGkVUIkAkZnltE/8iCdxm2LCwtL62g2VmDWvpqwM9w8SFOpwOtv3cR3XzqGJ4/VJXLIJdsjztZQNW9iJ4RCUXQ0VuHN340BSJ3TAKd5AAAgAElEQVQrvfL5dlro2SbkjCOIIoOLBEq8uCdFupm0Srz6YjeuDzsw5/Chp12L2holfnNxMvH3fHkyksPyS2T8lU45Y8+t8J0fsMFq90GjVqRE/XDH3umEQGirwOpaCI926qCrKktcl1wqRkdTVWqC3vvVJF8414xWY6XwC3NX6gvz8JSb97zpfZaepNdsUscraqYlyyfiZNMtx4kOPSbm4tFIdZoyuDyBROLjzXQbDEezarde8+B+jc4uQ1P5QLfc318ZcqBes/O8K4LbXNgYvvxkM351YSLRts10m9XZQ9rNmeR7wlUpBOIvYI7l9cQL8FfPtuDXFybAsjHIpWIsrwTw3OlGxGLAvGsN9qU1HGmpABtDSp6eF841Y3J+FYvuNbQaK3G620A5fIhd55HmavzZc+1wr27gnfuVk4EHDpwvnTlCzrgDxoDFyTtui0QiGkN2CT6bV10hx0/P30v5nW89DF1Vaco8Ij0XLecw++rZZtwYdsBQU4Y6TRmaDOWb3q8rQ/aMBcNgOIpQJIqWugqceaQWaxsPItvLSiRgY/F2XR124OvnmvHayz0Yt61gYn4F9qU1dHRUYzUQxs8vTGB0Rnh+RRC5cG/OyztXujfnQV+7sLOZEIaccQRRRGRUhLr/4s5Fvlid/ozIGLlUjJNdeozPeRMrbclJ3bl8Gtwq2y2LM2UbTEdTFR7vSN2y16hXwe5eT+Q1SZ5IJudJ2q5DLluOj8WlNYQiUdwYduCZEybE2BhOdulwZYjfAWKxevHOpWl896VjKZOxFmMl9NUK/OPvLGg1VaCvU49GvWrT3CLJ15ScpJdlY4e+EpMQueiWL5LssU4dtGpFVt0CyNBuJMrCsbyesd3UpFWiUa/C3/96MEO3wNa0K7QCnU27NocfNod/y7pNf5FoMVZAqybt5kq2e8Ll77O743n5ZhZW8Pm+Bri8G5CIGcwu+qGQS/HRgC1Dn+d662H3BFKiM9XlclwfsVNEC7EnMIwIg5NLkKYtOgDxcWNxaQ0SCXOoK94dJCbsPkwL5DOdXlile7mLJNs8APj+G/28NvzTMRfOHKvD6loI7tUNiETgfdYc7nWY9CoYNUq0N1SiXqPMsLPJedw2mxt0NVfj+rAjw86c6IgvuiXPT3710UTK7y7fWUBvuw6z9tWM+RVB5IpCIcWUwHg0Nb8KhUKKQCC8z606+JAzjiCKiM0qQgknno2hrESKOk08F4mqVJqYMLBsDKe69bBYvQnnGxDPR/X8qSZ87tH6jHawbAzNdeX4w3VryucMI8LJowb85IN7WSOgElFSVi+6mtQ4dbQ2o2ql0NY8Lt9WMBwFYrHEltg33h3j7TOXJ4AyhTSxqigSAaUKCe7eW4LHt4FaTRne75/DhVvz+N4rPdvK/0TbArKzV7ptb6yEUatMcRwDgKayBP/+S52894VlY6ipKMk431a0+8uLUxieWkbXke1pt6Opaku65dogEQNVFSXwr4cRCEYx61jF9OIKaXcTWDaGlvtbgNJJzt8HAE5PAPrqMjTXlcN6P7fc6lqIV5/+9RCujyymRGdyK8lUSZXYC1g2hiO15bh4e5H3+1m771A808XC1buL0KgVvOkVGgzl5IjbAzZL/1CrKUM4wsKkV6JeW4YbI07e48w5/fjBdx5FJMLC6vTjZx9NJOYOnUeqMTLtxuiMFw8/VI3HO/TQqxWC59SqFRib8fDamUAwArlUDF1VKf7lk0n4A1He322EIomIPqrmTWyHYDACfU0Z73hkqClDMBjJQ6sOPuSMI4giYrNqqYKrbk4/QpEoJudXIJeK8eqL3YnvrE4/fvVRar6S6go5XjjbDHO98HYXvq1zp7sNKSt2fCt0XBRUOMqir8sA+3IAP/zNEFrqK3EmaWuX0Na85HxbXAWpXBwgY7Me2D0B/O2bAxnH7Osy4PLdBVwZcgie92SXjvJxbJO90C0AdDRVp0SCOpbXYdQqca6nLut9yrd2t6Pb5MhB7nicbrkttqRdfqxOPxpry3m3MCePJ0C830dnlhGOsGg0qDBu80Im4a8gZnevo0QmzjguwB+NSBC7QeeRaozbVgVfmNy+INRlxbvlvFiQSBhMLqygpa4CJp0qpWq2XCrGqaMUXbuXCNlLkUgElmXx9sVpANnzKHOOOL7I/xMdOhi1Ssy71hLzhB6zhvec6vISWGb5C0e4PAHoqkohETO4PuLktUdc3mZdlQJWR7yqMtkgYqvIZGIYtUrcGY9rLDn3uFGrhEwmxsYGOeS2CjnjCKKIyBb5EomwvN/LpWK0mipxfdgOIL6CNjy1jK4GNYDUqCWJhMGXzzRj3uXDJ7cXMLPow2OdusRvkzFplfjeKz0Ymvbg9j0XWusrsRHiX7FLXqHjznequzYlDwcXas85P5K35vHl+OKuO7l0fDYHiEmnxOXBhawriharB994uiVlS2BbgxodTVW4MmTHG++OUT6ObbAXugUe5Ejjoto0agXmXWt483djGQ6yZNIr7nY2Ve2JdvnyKnLXvZu65bbwknb5mVxYgcXqSdl+X69TQsyIcOnug/FELhWjqbYCs4sruDvhhkatwFogjDqTEo7l9cTElHPGAsC41ctb6Zmq2xF7hUFdiga9CnfGXRmJ3Ot1SnxyZx5fPNmU72YSmzDnWsVTPcZEpfqedi3KS2VwrwTQYChHa115nltY3AjZ6VsWJzqaqhCOsjh51IAjdeUZaS2S8ygLRfazsRgGJ5bgW49v67M6fBgYc+ArZ5txby6+E4U756U7Czhm1vA6/YxaJaQSMT65Mw+pmMGxVg1CkWiKLeLsmkZdinpdOa4OLZINIrZMKBSFRAx86cwRLLrXsBaI4KH6ShiqywBRjAo4bBNyxhFEESFUcZKbFCS/2HMVoDZCEYxbvWg1qRMvjNyKGcOIMJmUH+DLZ5rxzidTKU6Gm6MOvPpid4ZDLjUhvxqnjhrwo9/yl2ZPznXB5afbCEU2dX5wjg27pxavv3UzMakBMqsVmrRKvPZKDz64acNsmgNELhVDo1ZgYMzF2z4ubxQ3eUnOLTJj92XNd0Zszm7rloOLqOvrMoARAb+7PCPoIONILyTxZ59vQ6NOhe+/0c/b9p1o9zO9Rvz4X0dTJvJ7oVu7e520KwDDiODybsDuDiRy8KjL5RiwuPDSM61Y34jAmfRS9O7laXz9mVbcnXAjFgOqy0vQVBuPEOaSajfVVuDdy9MI3N+ywR2Xi1RUlUrx5CO1+bxsoohh2RgqlTI83qVDVYUiUVik5aFKqEplsC+vU0TMAWB+aQM/eW88I0fYV55shtcfpPxMe0D6c8GX/1hfXQqXJ5CYV/zig4mUhRytWoEzx+oSdjZbHrgyhTRl3rriD4ERiTBu9aBMIU2pjNpmUmNg1Jnh9JOIRbg2tAh9VSlajBWIsDHIJOKstuh0t4GqeRNbpqRECrWyBKMzy1jfiGDJG4BIpIDdvYb2xiqUlEixvh7KdzMPHOSMI4giI7niZEtdBVqNFSkOAC4yRsSI8NHNucxiDkcNMOlUidxYRq0SuqpSDE0tYcHl53Uy3BhxpDjj+MLyrwwu4ESHnjcCSldVil9cmMCj7Tq0NVQiGI5PavjgC63XqxX47kvHUiphJSfm5zBplKhQxkvTu70BzDl8ONaqQYlMglA4mnVL4LjVkzF5iVeHzZ7vjMiN3dZtW0MlTnXr4fSsIxplsRFiN71PQttJsuVbM2qVmHX4UK9Rblm79Rolvv1c+57qdmjSneHgA0i7ydyb8ybyMnF53eRSMQYnlzA06Ya6XJ54KWIYEfyBEI62VMO5HEBPuzZjgWJo0o3edh0u311InCMYjiIaZfHyH7VhfmkNP/rt8KGNRCT2HmNNGWIx4K3fj6Vos3/EgS+dOYIZu490V8AwjAi377l4x2er04dSuYQccbuIUDV3vvzHntUgjrVqEvOKQDCCy3cXEgs5g5NuVFco0NWgzppqwlBThtvjmQtp14bs+Hdf6sLFT+chk4gTC0E/++Aenn/iCKYXVhJOP5NBBedyfBFIU6nIKCQkZItkEjE9/8SW2dgIw726wVtIRFtVio0NGpO2AznjCKJIGJl2Z1ScvDPuwmsv96T8jouM+VlSHjiOYDiKWCyGdy5NJVbruDLtzz7ewDtxAACr3ZdS1YvvJd+3HoY+rSQ8wK3sMXj3yizO99vw6ovduDK4iDqTUjAPB9+Kfnr1RyF6zTq8/tYAgHi+g3GrB2pVCT57oh2xGBIRWMlbe8wmNZ4/2Zgxecm26ple2ZOiEPjZa92e6zHC6Qlgybu5g0zIOZUt31osBvztmwN47eWeRITfVrS7l7rVqEtx9riC18FH2o3DsjE0GMoRDEVTxiZ1uRwuTyCl6AIQj7J855PpRF9b7b5NtwhzLLrXsbC0ltDGYYxEJPaHeo0SH9/h374+dT/HJmmucFkNhGG7n9srHZvDj299oX2fW1S8bFbNnc/2NxsrMDG3krLwlmwrkm2o0NyhVlOWSLORTHujGsNTbgymLQQBwMzCSiJqzmL1oL2xCv0jMwDiuetytUUT8ytFb9uJ3UciYRKV5ZMJhuPVgyUShraqbgNyxhFEkfDxLRvvAMkX5RJ/EedPBjvnzAydD4aj8PiCaDCU8zoZTHpVwhGX7SX/2pAdr73Sg6tD/HneguEoRqaX8d2XjmHctpI1D4fQRGKzyQUXZXVtxAGIRPCthTDn9OHKkB19nXq89nIPxm0rmJhfgX1pDR0d1SlRWunnSl715BwhntUgzCY1Zh3x43KrrU+dMEGjpMTZyey1biNRFmqVHCIRsjrINnNOcfnW+PK8xR158Wq8333pGO4t8Gs3W6GEvdDt4x1amDT8L9zJ2k3WbTAcPXTaPdNtwH/551s4c6wO6xsRBIIRlMolEDGpmknfgsw57PhI3iLM9W9TbTmuDqZWuQyGo7h0dxF/8sxDe3eBxKGDYUSYtGVG4wDxisA1lQF6GS9gLg3aYNSl5qLkxh2jTokGgXGd2DqbRYjz2d5LdxZg1KrQ066FzeXPeI6SF95MWiVeONeMqflVhCIsZBIGRp0KbIzlXZzmUrqkLwQBgMu7gc/1NWJ1PYzARgTjc96UrbN8xAs8KBCKsAkdcbtRTrRlLtQRhBAsG4PVHp8Tpc8bqVL39iFnHEEUAQwjwvD0Mu93fNs6s4bOV/OHzs85fPiTZ824kTZxkUvFeLTjwRa4bMd+qL4SJo0SjU+r8Pe/HsxwWADxCqgvPdUCk1aJh1s1+LB/LmULH4CUEvHb2ebF/T4lIsvuw4Vb83j1xe6UqplCucU4+rr0uHh7AcfN2kTOkK7majxkqsT/+k+3Erk6KAomk/3Q7YRtBf/9Fzvxb9dneSe+nKayHZubWPPlj0lvr0mrRE+nAQ/VVeDq0O4WSthN3TKMCH2degSCEaxtPNBtWYkEXUeqUqoKF7t2G/UqnD1uRGmJBGsbYSx54znijjbX4OaoM/EMpzvfPKtBwUp6WrUCw9PLONVdmxgXwlEWve26lEIOADA+54XdE4Berdj7iyUOBfHxTC24ff2ejX/hgcg/DCOCuqwUqsYSBEPRxNjMFQ9o1JeTI3WXyDVCnM/2ztof5F+7ePvBNtD0tBAMI8LyagjhKJuwLYtLa7h9z4XnTjViIxRfhObmuHq1QnAu0tagRkeDGq+/NQB1uTxROVXIFjGMCL3tWszafSk2no0hsRulWO06sfswjAgGTRnqdaqU950SmQRRlk3J2UzkDjnjCKKAyXXCxbIxdDZVYXZR2JGQjlDofHNdOW/ovNmkRotehVdf7MaNEQesdh9MehUe7cispip07GTHR01FSYYjLr29HU3V0ChliX7YbDvBVuBbDQWAGyOOnCK1uBwj49YVfOMzrfjnP1hyytVxWPJx5aLd/dKtXq3AU8eNMGpVmJxfwaJ7Da3GSpxOq6aai27T88cItdekUcJ0bvcLJeyWbsdmvTjVrefN/WHUKg9VLjmWjUGtkuFXSVuguWf45c+1YWR6GTanHy3GeE5A7oUnGI6iRCbhdfK2mtRoqq3A22n55JILOXBo1ApcHlzEC2eObKnd9EJOZKOvU4cLaZHHXCVmtRKJXJdEYcGyMQSjLH6SNqeQS8X4xmfNcCyv0XO/S+SyCMchFEEnEolwqrsWc04f77xixu7DRwOZeW5723VYC0TwP3ztEbjdqdF1QnORk106XBmKtyPZASdki053G/BuWuEquVSME/cX0LPtQiCNEemEQlG0N1ThJ+/xjE3PmmmL6jYhZxxBFCBCyWSz8eRxIz7onxN0JKSTnBQ/PfIs2aDLpWLoqkpxsiv+XVeDGl0N6pQccbkeeyuOj2S4ScFOEs4nTy6EVkPV5fJECHY6yaukyU5BuVSMOxNL/HnMEEOFUgaFXJII5eaL+Comtqrd/dItt93ks71GAPzbQndbt9x5ClW3FquXt11zDj9K5BLE2FjKNoRi1q5jOcDr5LQ5/Zhe8KKmshSz9lU8VF8JVak0Ufn36tAiTncbEIvFta+pKIFcJsGvP55EV1PVpjl85FIxykokGJ5exh+fbc6pb7djH4jDR6NehRefboFlxpOoCFxWIoHV7keDoRxXhx2oP0u6KTTm3WsYEphTDE0u4UtPNOWpZcWJkE3vPFKV+He2CLpZuw8/+M6jYNkYb55VIfsfDEXw2RP88xGhuUiDToU33h1LHINzwAHA9MIKHuvUYX0jApc3AEN1GSJsjPfcgeADG5Q+R0i3LRqNaqtdShQpMpkYU/MrgrlInzleRw65bUDOOIIoMLYb/dXRVJ1ivDubqnDqqAF6tULwBVooeXy23FRcG4QccZsdO/n7zRwfyeSynQDInNQIvbjyrYZ6VoPobddlzS025/LjfFLFqmx5o2wOP750phkXBmyJUG5VqbQonRnA9rSbrluzSY2TXfFJp1ABgZ3oNpfcbIddt7N2H77xmVbcnVhK2YZQrNplGBEmbCsp/+7rMmAjFMHI9DLqdeWQSsSYWljFww/V4GhLDWwOPx5u1aBOUwaXJ4BKpQyPVmvx9v3iDvrqUjiT+jc5v4rLG8DDrTWQMAzKy2RwrwRw8qghZ0fcbkVZEsUNy8YQDkehry6DrroUIgDu1SDYWAzhaBSlIknROtcPMncn3fD4gtBXl6bkigMApzeAeo2S7tkuYXX6cW3EjhfOtWBqfgWxWNw2BoJR/LdfD+I/fPN4oqpqtgi6SITltdmNepWg/Xd5N9CgE3Z08c1F0ttxfcSOL59pxrzLh3nnGqIscLbHiJmFFdwYcQoeOzmnKTdHELItP/jzvqLNF0tsDZaNYWYxM0d2MBzFzMIqjUvbhJxxBFFgbCWKJn0izRlvq8uPa8N2XLyzCN963CnR3qAWjKBIH0Ab9fEJAl9uqq2+9GUbnHOtJMkdR2gy1FJXgV9cmMDQlCfFcZHtxZVvNRQAHuvU4eaoI2OVtK9TB6vTj7f+YEE4yRGZLW+URq3A+KwHjuX1RCj3qy92Z73Og8x2tZusgxm7D1eH7bg67NxUu3xOOoiA198k3QKpun3j3dGU32+m29Hp5URevGLXbvo96usypPQld/3PP3EE7/BsO32sU4f2xir87Py9xHdc/9pc/oRjj3NsNhrK4V7ZAAC8d8MKlo3h7oQ7pVCMkLZ2EmVJHD46G6twe9Idj+IcXMzQbmeTGh0m9SZHIfYLhhFBLhNDV10Km8OfWAjh8kw+ZKykF95dwu4J4O9++iki0Rg+d7IBBk0Z5l1rGJlehlGnRE+bFtdGHoyr2aLihWz2Hz/dAl11qWD+t1zT0CST3I7HOvQZNunmqAPneoxwLK9ntfFDk+6UqH4h2/LxLRte3GIKBaI4YdkYjtSV8+aMk0ppYWe7kDOOIAqIXJPJZgsl5yYFve2pL+fpTgm+lz3uuJPzq9BXl+7bS1+uA3hfF/9kKBSJ4vzNOQAPJkHfe6Un64vr1881C0Y4CX1+/pYNmkoFWCCnvFElMgnmHL7ECmQwHMXw1HJGjr1iYLvaTa7SyeVW2652+8ccWFoJkm7TPv/5hQk01VYgFMkt31m6brnfF6t2gQcvOABSKqYms+Dy829HjwF3Jlww6pQZ/Xu625CRl4/LJ3lz1JHIHxcMR+NRnYDgFtRcnzGC4GgylCcW5fi0e3PMSc64AuLu9DJ+8UFqIR4uz+TNUQee6DbkuYUHH24OMjrjQatJjfbGKljtq7z5U5871ZhSxEHIxv4sqXgSRzAcxeiMB0qFLGvxKI5cx2+uHf1jTiytbPCed3U9BACCNl6jLsXZ44pE+7PZlpHpZTA5plAgihuGEaHRUI6fvDfOk8+yleYg24SccQRRQGwWCg8Ib1PiQsmv3k9iz/dCGQxHcenuIuQyJms0jr66FFY7/77/fLz0JRdLeOFcM5zLAUzMr8BsUqO6Qo6fnr+X8vtgOIqhac+mL65CEU58n1td/kSC91PdtSkTHC5vVISNwebwQ6NWJFazj7VqMDTpzjh3sRmsbNrlVoA322K3U+0mVxdL57DqNr4NlsG1oXn0tuu2rdvk8xebdoF4333zWTPsy+sZ1w3Ety7ZnH7ev521+/B4lx4bwbWU/h2wONFj1gjmjQOQkj8OIlHW52MrycYJAoiPyx5fEEte/i3pU/OrWfO/EvvLdYFCPDHE8NJnWtGoV9FzvgPS5yCO5XXIJAxCEZa33xdca/jFhQmcaNMl7CufjRXciuoJYNG9ht52XTySyBtAe0NVSmqLkWk3Puy3bikHqEmrRKNehe+/0c/7vc3hh66qFFeHFlMis1tNapw+qs/QUTbb0tFURZojAAASCYPRGY+g4/mzJ+rJlmwDcsYRRIEhFApfXSHHf35zQDBi7eNbNnztbDPGZr1Z80GNz3kRikRhd6+nvOwlR+Nk28K23y996ZOn6cUVqEqleO3lXtRWl+L7b/Tztuf2PRfaGtQ5vbgKXU9KEt4he4oTI3mC06BXobddhx+/MwyFXJLY3sdFGSXfr2J+aRbSLiDCry5OYiPEP+G9OuxI5FbZiXZJt5mfs2wM/kA8KiZdt0adMmfd8p2/mLC6/PjnP1ggkzLxSIk0DWXLy6erUsDuXselu4v46tkWzCyswOkJoNVUiXGr8Esap3Uu74pfIHqJi+q0Ov2orijJKcqCIID4819dIYdIBF7tNtaWF+0zfdCQSBjMCRTisTn86G6upnu1Q9KjztXlcgTDrKCzemFpDTP2VZzvt6WkusjVkcVtB11wxRdqjjZX4xtPtzxY5N1BDtDNzqtUyKBRKzDn8KG2pgxPnzDixrAjseiZfnyh+duTx41Z20EcHlg2hsWlNd7vFpeoyvN2YfLdAIIgUuFC0J99rAGNhnI801uPxzp1+On5e/AHQoJVE0emlwEAbQ2V8KwGoVEreH+nUSvgWQ0m/s1tj5qcX035LLlKE0c+Xvr4tuz51sP4+PZCYjLCx5HaCvR16nblGtJXPlk2hst3FzA06UZNpQKf72tAV4Maf/W1R/BwiwaGmrLEfbs6tLijcx8kkrXboC9Hb5sWve06vHdjFgMWF+7NCUd8ATvXLuk2E4YRJV7Ck3UbikThXA6gu6kqRbfPPtaAV1/sxi1LavLnYtcu52z3rYchlYgz+h+I5+Xjuy+VqhLMLK5CKmYwvbCCwfv9e33YvqmWuf/qqkp5nSVA/PmwewJ4/a0B/PT8PfS269DTpoVJp8IzvfVUvIHIyqmjBpSV8I+LiMUwPOvJU8uIdIw6/ufYqFMK2gwiN/gi2DyrQcgkjOA4rb0/PnOLIkL0dep5n6/kRa1gOIrqCkVOlVaznSvX8378qS1h6z8dd+GDfhvcqxv4w3UrXn9rAFaeSO/HOh/Ylp42LR4rYptPbI+m2nL+z+v4Pyc2p+Ai48xmsxjA/w3ADCAK4FsWi2Uyv60iiP0lORT+FxcmEnmlskX+cKHk3OpWtnxQ6cZ/bNaDE+1aTNgeTFS4KBqRCLA5/ZtWjdwrNtuyly2p7lYrXwohtAIZDEdRpZJDVxmfyKVvYbA6/VDIpYlzP3WivuirUnF98Psb1kRlSSC3aMvd0G5K9BfPlpD9ohB0C8S1295QleLED4bj0YXPPqZJ5MJJ33rzH755POX8xazd9Jc0oa09yfdldHYZmsr4tt5LdxbQ0VSFUCQKlyeQ6F9AOGdPiSw+/eJy95zs0uHKkJ13scVsUuPy4ELiGJfvLiQqmcllYnLEEVkxaZSo1ymhqyqD1eHD4tIajDolGJEIl+4uIhYD2uvJ0ZNvXCsbaNSXY2DUmTFeNOrLUaUsoS1gO4BvHhcMRyEWM5BJGd5xWp4058iWpiHdZrfUVSAUiafWSD5e8oLWbuQA5c57fsAGq90HrVqBer0Kv704lbg+zhZxUXrc5+l5dK8O23Hx9gPbwkXKK0tlVMCBABB/how6Je+zYtRSleftUnDOOADPA4DFYjllNpvPAvjfAXwpry0iiDwyNPVg1Tpb0nUulJwzztfvV1RaXQvB5vRDW6VAve6BkU7GbFLjeKsG/3ZtFr71MID4oHtz1IHvvdKDBl3+8pRsliNpM8fFVipfCpFte9hpnoTKfFVCWTYGjUYFl4s/+qWYYBgRboykvlBk0y43Qd2Odtsa1Dh6pApvfxI/Lhf9xW0J1QuseO81haLbq8N2iET8LxrpkW7Z8s8Vs3bTX9I4DcmlYnzhVCOee7wh8VuuX+yeWrz+1k341sNgGBGaaiswbvWgzqRMcThzjr1YLAab0w+jVonyMhm8/iBee6UHjUljq6CDtkuHf3h3LKXN3EvW8PQy/piSaxOb0NlUjR+/M4JwJApAhMGJJZQppJCKGcw6fJQ3rgC4eNsGty+I5584ggWXPzFe1GqUsLl8dH92Ab4x9pbFiT/9IzNqKhWYd62lOKuvDD5wphm1Ssw6faiv4V/82GwxNn1BbbdygMhhERIAACAASURBVJq0Snym14gf/+soBifdkMskkIoZQIxECgQAGYuZyQ6/ZMdgsgMPoAIORCpW+2p8jFpKGqNqlLDy6JjIjYJzxlkslt+YzeZ/vf/PBgC5xeoSRBHCZ6yFItY6mqoTL8sPopPmcPnuAsoUUgxOuCGXxo10kM3MR/fD3wzjRIceWrUC14bs0FWVorkAwo6zRRBx5OK42IlD4/W3BhCOsqnRMvWVON1tyCkq5bBNYoQmmVeHFvHSM61wr2wIRlxxiYl/8uEEBieXNtUuIMLlQTtefbEbgxNLsMx5YaguQ3NdOcKRaN4KDhSKboPheB/0dRkQDEXg8m6grSH3SLvDol2++wUAR49U8/5er1bgL7/2CK7cXUSJTIzfX53B5/oaAcQSEQXAg0WNx7sMCEWiCU0311WmOOKAzOiKxAucRkmFG4gdoa9UoE5Thkt34/OH2poyhCIsGvXlqNWUYXpxFfUairDMFwwjwqf33HisU4+3L05BJmXQaCjH4OQSBsacePXF7nw3sSjgHWO7dPjH31mwsOSHrkqBR1q1+GhgLrEwDcRtdywG/O0/DuCFc81oNVYK2k+hxVg+cpkn5EK9Rom/+HIXLg8uwjLrxTefNcNi9WLO4UNPuxa1NUr85mLqJrNk20EFHIhcYNkYmusq8ZP3xqEslaDrSA2GppYwMOrENz7bSjrZJqJYrDA7zmw2/yOArwB40WKxvCf0u0gkGpMIVM8jiB0g2suDb0W3I9Nu/PWPrmYY6//lL/rQ3sj/oij0twwjelA98b4jLxiK4NLdxcQgKpeKca6nDmMzXpj0SqxtRLDkDaDzSDWePG5ER1P2c+4FI9NufHzLhpHpZXQ0Ve1rO/7br+7gd1dmEv/mQvgf7dDh33254CbIe6pbIHftCun2B3/el9O9++n7Y/jlBxMZ2hUxIsws+qCpKIH8fuVPlo3FJ7BHDZia94IRMQWh3ULSLRDv/6+cbcY3/6h9X9qwBQpCt7ner5FpN96/Potxqxe6qlI8VF+BeZcf14YcGU77prpyxNhYxhj74tMteOkzbTm3f6fPE7FnFIR2c+HSnXlcG1xALAasbcT1qVErUFYigcmgwtefyV2PxO4yOuPGz94fx+isB199shlTCyuwOeJRJ21NanzlyYd2+5QHRrf7AWcv44vTJWgxViSeEa1aAblMglsWJyqUMjTqyzE87cb//O3HdmXs3ek8gfv74elldDZVoau5Bn//89sIBCOJ38ilYvS263D57kLi3+m24wDZmIJ5PzuM/MuFe/CvhzHn9GHeuYY6bRnqtSooS6X4ytldH6eKCUHdFqwzDgDMZrMewHUAHRaLhbd8h8vly+kCinGLTbFdUyFdj0aj2tPBPlfdcsS3m2XPHyXUf0OzHlz8dB7O+xPvEpkEQ1NL+I9/2oNLdxfw7pXZjL85edSASpUcH/TPZRjm/UwWnn5N+x3lxDAifP+Nft7VwkZDOf7mWyew4F7H5cEFDE15Ni1Lv9ca32vdAlvT7k50a3X68eEtW8ZL4zO9RgxOLafko+M42W0AG42hUiXHRwO2vGm32HQL7K12C0m3Go0Kbrdf8H6lV78D4tp6/okm/PLDiZTP1OVy9LZpYKhWwmL1YmZxFUatEkatEh0N6i1rMZfnibuGQrGl2+WgXEMhaXczGEaEd69Z8fYnU4mqyepyOdYCYfzR44147nFThu4P0H040O38+YUJKEvlmF5YgcsTQG1NGYxaJT6+bcOrX+nedbt1kHS7E3LVRfJ8w+sLoqm2HIwIkEklOH9zDj1mbWKBRV9ThooyGcSMCF8727xrbdzOPEHIHiU73jhOP1wLx/J6okgUn6b4bExPp6Ggnq18vp8dlHFmr0i2IUDqNugvPnGE14YcJrLpI5tuC26bqtlsfhmA0WKxvA5gHQCLeCEHgji0ZAt3z2bAGUaErgY1KkqlGJr24PY9F2oqFPirrz0CQ1VpSj66ZBzL64iwrGCVp3wlDN/vQV4odJ9hRDh51IA33xvHxJwXGrUCRq0S7/fP8Zalz9dWyXyzE92atEo8ddyI/jEnRAB0VaU40aaFSavCj/91LEObAGBz+AHEEI4WlnZJtweLbNcsVP1uzuFPycsXjrJorquE0xvE3YllaNQKmBvUuHRnAQNjTnS83JP4++R+zvb/u5FHkDjcWB0+hKMsTnXXIhplEYqwkEkYsLEYFpfXE8WIiP2DYUQAGPzh2gzKFFJ4VoOwOnyQj4vxwlMtaNTnL2dvMSI0fvaPOnHcrEWlChi3xu3jkdoS9LZp0T/iSIztVocvvoOkt35Xx+LtHEfIHm2EIhl5Ym1OP37wnUcTuQeT88Vx/yUbQ2SDYUSYc/rQ265DlGURCrNoNJRDzDCYc27PoUwUoDMOwK8B/IPZbL4IQArgf7RYLBt5bhNBFATJg5zV6ce1ETsABr71EGxO3/1cUHoAcSM9NutNRL187tH6lFWLbDkimmrLMW7dWZWnYoEvp8fpbgN+9dFExuSsr8uAm6MODM94YNIqE6uMY7Px6KOnTpiKtiJlNnai2xfOHEnRWzbdatQKuDwBuDwB3nYcJu3uXLep90GjUeXrUgqGbNXvFpfWoC6XJxJfc32a3tdcxMJNixMQAVeH4v3cbKyAvkqBq4MONNWV8/5/q6li0whGgsjG4tIaTnUbIAKwEWKx5A3cHzfXMTG/Qs64PMCyMZQrpWg1qeHyBNDVXI2S+ykYrHbfobBX+0G6XTvZpU8UJ7s6bMdxszZjzB6adOO5U428Di//eiiv9yabPXJ5Ain2CIjniItE2EQ/jM56UK9VQVUqhT8QhlIhA8Di8Q6yMQQ/LBtDdXkJfOuhFPshK2FQqSyhsWqbFJwz7v521K/lux0EUcjYPQH83U8/RXeLJmXyMGv3IRCM4Ppw8mervFEvgHDy2HAkBo1akVIVkOOwJQxPT/jb2VSFjVCUd3IWQwzHWjW4PmyHWCzCv1yYzOk+AIcjCmnO5ccb746i0aBK0+ju6LZEJoFjeR1dzdWHXrtb0a1YLMJxc1y3UgmT4rDj7sMP/rxP0JF8GLQLZHcEG3VKDE4sAYhrcSMUERwjzh43QiaT4PU3B1L6mXPWfXhzjvf//3Ddigu35nkrXB+We0BsH5aNoa1RjfIyGd5J2ubPOYr1NWWkozwwOufFbz+e4l0kmXP46Z7sAtzcw7G8jnCUhVGrxNuXZ+DyBvBYhw4T8yuoVMp5x+x511pGlBmAvN+bbPZIq1ZgcNKd+DdXFCJ9W6vV/mCR6KOBOfS26/D6WwOJeVc8apMg4jCMCGWlUpxPSmHEjVdfevIIjVXbpOCccQRBCGN1+tE/5sCiO4CHWzRgEctwSKxt8L8E8m3RS39hN2qViMWAT+7Mo6/LkDEB2U6Vp2IgOXQfAP76jRu8v7M5/AhFovCsBnFvzpv1PnBGiy8KqRhXJa1OPz76dAH66lIAol3VrdmkRnWFHD89fw8sG0OJTELaRaZuv/9GP+/vZhZWcbSlBrcsLlisHt77cP6GFd94qgUADp12kxFyBDMiEbpbNGBEQCAYgVMgOtPm8KOnTYPZxdVNtxel/3+JXIJH27U4P2DD4tI6jrXWoMFQjqHJJYzOUBQjsTlPHa/Dv1zMzLcZDEcxu+jDtN2HhiJ/hguN/lEHAEBfXQrPahDBcDTxzHcdoUqWO4Wbe9RUKuK5+HQqvHt5OlHgwOFexxOP1AruBll0r2VEmQFAW0P+F/eE7NGZY3WorlBk5Bf95/P3BO0OgMR/Lw0uQi5lMDTlQeeRKjzapi16205sDsvGMLvoS8k5yo1Zs4sUxbtdDo0z7vnv/nbLf/PGf3xqD1pCENsjOcHskjcAfXUpqspLUlYi1OXynLfocf+f/MI++/+z9+bBbZ53nucXL+6LIADiIkHwkghShCSLpCRLsmXLjp2rnWTi9LSTdNLd07tVu5Xp6j8yNVvu2t7p2prtVFdXV81OJjszNTvZGXu6O06cy26724lt2booWTcFigTFEwSJiwCIiyCuF/sH+L7C8QKkeAN4Pv/YAkDi4fN8n+P9Pb/DG8VfvnE777Zvd+OMzYRkKgP/ytp6KCF30tdGgem7dr0STk+555VZr8CD6eWq4zAxH8I/fubEZw996DGrkMlk2UqLlbzBav22qbQYg7FFjnPHWtlKqE+iW4A7f5bTF4OQTyFJZ4l2S2D6rlp4b2AlAYNGVnUcPKEEPr23yIZVbqTdWtctF4wh+MqoG5PrefckIgGuPXBDyKdYr7W//+gRp3emTi1FIpmt2M+F4UWl///Nl3rxk99OYtCqh0ohwo0xL2aWIuhqVWHBF92UFyNDPY4NYWNatXK4lznrocG9HMfMUoQY4/aQaU8UEpEAth5tWYiqP5TAqztQIKCReTgbKDo369RS+IJxDK3ngWOMCbkc0KaXc67ZFoMS43OBotcOyuUe18Ukc9axdajLzvyPFqqHtTL/nXSu4OihFnZf+ejmQpG3HNk7GhORiA9vYBXnjrWyBU2YNWvRF4NIxMfaWmbjX0QoomGMcQRCrTPpWikK4ysMZWCqJoUiyQ1D9BhvlunFCE70tsDWpUG7TgGazqFdV7yxK6RCvHzSXBYS1chQFA9KmYjT86pJLoJcKsRKLIVBq477YbxZwlYCZULTCsew0BusXjyPNtLuZnQLPPYM9QQTMGqkONn32MBWeigl2i3njK1yeO+CNwogB51axjkOHQYlfvDmLURX0wBQVbs8HnDNXvu6rYRFr8C3PncYnlACVx+4MTYbxEsnLTgzYGDX0mp9/WhhBUYtdz/r1FLY18OLzAYF7jj8AIB2gxLjs8GKeY2eOWbCpXtLSKaz+PSOC984383Z9npZUwhbI5Oh0WlScmqvs7UJ4XgSAgHFJnkn7C7Ti+Giyt+FeyPFA1o1MrJ/bYPRKT/n2eP3XjqMRPKxMYHP50Ell3Ce6xQyEb7/2iA+vbe0YSXr/aBa0YXSS0xjC7fBkdl3bD1a9r+X7rrY/T2Zzl+8iUXUpiuwE+oPms7h5IAB71wqD6v/6nPdZK3aIsQYRyDUABTFw/Qid1gTkINELMBaMh/mJ5dUDtFz+mL4q7+9U+ZZ8dyJNtg61AC4N3aywD4m3xc0hvsN7M0Q4x0TCCcQiiQx3G8AnwLnOIhFgqLXuCpfMV5Ihbk9Nso5d1Cppt1cgXar6RYo964DgI/vuPDCoLnIIEe0WxmLToFXL/TA4Vwp0u2I3Y0TvTrYpwM4NWCCfTpQNg495mZcvr9U9Pu4tDsxH8L4XJA98NeqbjeDUS3Fq+e78bvP95TpzKJT4GvP9WDKxd3XEhGfU++S9fVBLORDQPEwtG58azcocPOhF81K7rxGa2ma/X0PZ4OgONpUmi+onseGUJnhfkORgQLIa4+mc/jguhODh3VED3vAymoKLl+Mcz4nUxkcP6wj+9c2oCgephbCnP37cDbI7nOMMeEr57s4z3XZTBZGtRS/d6HnQHuFVWpX4QX8U7063J/0c+47AIr+G11NF+3vkwsrSGWy8ARWyd7RoNB0Dv7QKuec8gUTB3ZuHHSIMY5AqBEqhZYseGP45ku9+Pi2C33rN3YvDJo53dbfujhV0bOidFMli2plnj5ixA/evA0gHxrMeLKcXjccraUyuDvpxxmbqehg12lqwvvX5gCgKN9CaeUrq0WNqw+WNp1D7aBTSbsubwxfebYb4Wiyqm6Byt51Zr2yrD+IdivTa27Gu1dmIZcK2YeRwsP4vDvM+UAyMR9kD+XVtMsYjQqpVd1uFi69OX0xuJdjmHSGyvpaLhHgyqi7aH3obG2CViXB3Qk/hvr0kIjynzl71ITf/0IfLt1drFrl2lNQzfVIF3eeqZExT92sKYStc6xLgz/8cj/sMwEseGPQq6UQr4da03QOVx648a0XD+93M+ueWXeUM90FAPhWEjjSqd7jFtUf7gD32cMXLN63kuksvMEERqf8SKXponPdqxcOsT9Xa2eL0gsYo1aG0wMG9lLTrFegSS5CdDWFC0NmBMIJDPcbcMfhg1Erw0o0yfZTodc2QPaORoSieJhZKk91AgAzS2FS8GOLEGMcgVAD0HQOh9ubK7qX+4Kr+A//6gL8/sfvl3oIMR5KKoWI84Hs+kOyqW6W0pDI5wd10KrEcHpjbCJgms7h6ugSa7iwTwfgX8kfAAdN+qJ8CxajEv80Mg9g3RvMZsD/994E53dz5VA7yGyk3bVkGr934XFeHK5wi2reddOLYbw8bK6Z/thvLHoFvv/aiSKjZ5tOjgfTyxjo1sIbTLCGTka3yXQWFqMS2mYJukyqqtpVSMvXF6D2dLtdRsa8RQY3kYAPnVqKDqMSfD6FE706LHijaG2R45njrbgx5sENu6eozwHA5Yvhf/pyP1y+GDJZumJeI7NBAftMAGIhH88NmsvepygeJua5DXmNNjaNDk3nEE0k4QmuIpXJ4kGJJ+zkwgrRwy5DUTzcnfRXrFrfZWqCVikmY7ANaDq3YX7fQuaWIjh/woxQZA0uX4zNhXXd7qnZM0bpBcy1B/k9SSkTgYd82pSnB4y4PubGjYc+rMRSGLLqcaRLA38oAb1GCiFfjnAsxXptF0L2jsajTafgnlM68vy4VYgxjkCoEZ49bsKV+0uc7uVjs0HOnyncIGk6hxO9Lbgx5uX87MQ82VSfBK4CAj+/OA2RkEJ/p4Y9YCfT2SKPt2yWxtVRd5ln4oXhduToXN4bTKeomGy/MIdarVBNu6NTAXz92e4yrZZSMel4hZtvQmW4tPuzjx9BrRSzOeMKdQtsXrvXH3o4v7MWdbtV8oavELdBPpTAF57uYD3m7k76cXfSD1uPFtOL4bKKfUy/nRkw4L/94wT6OtTc+SplIrz2Yi9atTIc6dIWXcwA+TlVT2sKYXsc7WrBlCuKaVe47D2TVr4PLWo8nN4o2vVKzvnc30Xm5HahKB6U8ur5fZkcqED+cvDSXRcGrQakMln2UuTzpztqciy4LmCYPelwezP+/A+G2dyQJw7r8U/XFzDcbyiLnBEL+fj25634b++Pl30H2TsaC5rOQVVlThEtbI1dM8ZZrVY+AB0AGkDA4XCUX5UTCIRNUy3f00snLZv6HbYuDWaWIpw3sQehTHstwvRZobccj+JxblafO2XBb67Pc+f+y+WKPMQqlaw/CBW8npRq2v3C0xsfdGk6h0MVvOt6zc271ey6p1C7jLfc9rVrxMXb9aHbrVJq+Co0bOrVUrS1yMq8Ewe6NZy5+ph+s+gV+KMv9eHD266K+Sr5FA9P9+srtque1hTC9jA0S9Hd2sSZP+pwu4qcBXYZxmuLqfxdOJ+7WpvQqpHtdxNrHprOgU+han5fhrzumyGXCHD5/iKr/1peH6tdwHS3qoqKtFj0CvzZd4fw21suzj3e6YlCLhEUGS9ruW8IWyOTobGaTHPOqUQqQwr/bJEdN8ZZrVY9gH8P4IsAwgAoAAqr1XoZwPccDodzp7+TQGgUjFo5Z76nzW6IHQYlLgyZOR/6AB7eujhFKiRtg0KPo6f79WX5z450afGjt+9z/mypZ2K1kvW1htMXAwDO/FlcIXWlUBQPzx034SqHd51eI8W/+fFNUt1rm1TVrs0AoYDCowXuMMdC7daTbreK0xeDVsVdme/8iTa06x4XHCmsXFmp35i+bdcp8NJwO/6v/34LQHG+yuF+A+wzQcgkAnw27kOfpXw+kLEhFNLX3lyWP0qvkcG9HId9PsQWdSLsPPmq7EII+VSR9+ykMwRdswwWPakCvhMMdLfg//7JXQDF6+X3vnEMmiZp0R5n0eUr2IsEfEy6VmDSytHT1rSfzd82lS5gztoMZZEwHQYlFrwxzt8z6VrBn/zzp3B73Ef2jgaGoniQSUS4eGsBQPGcemG4nURXbZHd8Iz7KYD/F8C3GW+4dS+51wD8LYBnd+E7CYS6x+mL4T/+4gEGrXo2B5FBI8XzBdUkq/3syJgHE/Mr6Otoxve+cQzjc0E8nA1B1yyBWCTAbz6bB03nSIWkHYDZjAR8QKuSIIccJl0ruP3ID12zlDPfApe7f7WS9bUCk0A4naWL8mf1WtR45qiRM6Su8GdLdftwNoiJ+RAOmVVIpbP4yYePQNM5Ut1rhyjUrkYlwVoqi8mFMN67dg+HzNzeiaXarQfdbhUuvftDCVbvjDZLtc0YzkrDh9+6OIWJ+RX0mFUwaqS4M+HHV893Y3oxzObtY7xMz9iMeOfyLJLpLObd3POhkceGUIxFr8ALg2ZML4URbpHDF0rgzoQPOrUUt8a94AF4Xqfc72bWJfb5ECKrSU4PEyBH5uYO4PTF8MOf3ivq46M9Whw71IImqbBiddQbDz2QS4W4N+nHjTEPxEJ+zZ4rSi9g+jrUONKlwTW7Bz9+b4LdewDg5oQXBq2M05NO1yzFD396D//qmyfwzRcPEX02KDSdQyqdwXC/AclUBr71OSUWCZBKZ4gutshuGOP0DofjfxS+sG6U+1ur1fr6LnwfgdAQjIx5kEhmcHV0CRKxAC8OtyOwksBbHz5Cf6caL5y0QKcQlf1caTWlQqOFQipkH94YSIWk7VPa50D+NvJL5zqhkIpgMSjhDT4uD76Rd2Mtb3CFCYRH7G48e7wNaqUYs0th8ClAKhM9sW5fe+EQfvbJFD68uVD0M0S726eSdof7DRDwqSfSbi3rdqsU6r3Q40UspIoMcZW0bdErWENc6WfEQj5ODxiQztKslynzX7lEAH1JaFu1+dCIY0Mox6JX4KEzhA9uOFlv5VQmi3giDWMLyR23G+SNRPfZ/FxAsYfJ698Z2s/m1Q3MmfnWuBcGjRQADw+mA8gB+NnHj/D9106UrY0jYx5EV9NF4Zi1fq4ovICZ80Q5957TAwZcureEc8daOT26peshqtfsXtazm9CYdLc14833xyESUug0NcHhDCGVpvGdL/Xvd9Nqlt0wxs1YrdZ/jbwXnHv9NSOAPwAwvQvfRyDUPaWJWIesenz4mbMoyWolr6DSakrA4+qpU64wqXy4A5T2FVefp7M0KB4PsbUUAGCwTweVXIxAOAFtswydxvoLSynV7RmbCdftjwsATC+Gn1i3I2NedBqVsM+EOL+TaHfzcPVTJe3qNY+r/jHaXYkl8YXTFljI4RwAd8JsJl/c2GwQv/t8D2g6V1XbzDyo9Jm1dBb2qQCOH9ZBp5Zi0R+HZzmO7kMqJJJZaFUSLBUUOyHzgVANgYDCvDuKdJbGuWOtrAdRm0WBbJZoZje4vF4EpzRf3FC/HmqluC7PAnsNRfEw6QwXaVqnlqLdoMSiLwa5VFhmYKv3itPV9p74WgZiIb9Mk3q1FDKJAIb1oi710A+ErSMS8TExF8Arz3Zj0R/Foi8OW48WbTolJuYCeP64CakUKRHwpOyGMe7bAP4tgEsAWpHPGecC8D6Av9iF7yMQ6p7CRKxiIR9rqUyRZ4q6SYxQJPlEh4uJ+RBO9usx5Sp/n1RI2hxcoWadRiXG58sNRWdsJvzDldkiAyrj6ZKj6zMspZpugcfavTnhe6JDMQBSGXIbVAqRpCheRe2+f3WuTLu/++IhYogrYDMVSyv1MfD4QQdAxc94llfRa2lGIpnlHJNnjpuKjHFkPhA2wr0cxxmbqayKon06gFMDRk7PZcLWYXJvllZb9gZW0WEghridgKZzOHPUgJ9fnC5bI790rhPvX53D+HwQnlArjGop+zP1fK6odq7yhxJQN4nhCayymhzo1iIUTeLWhA9nj5qglAnroh8I20MhFeHdyzMl88qPC0Mb538mcEPt9C90OBxhh8PxJwCyAF5wOBxih8PRA+AhgPd2+vsIhEbhzICRPbT5QwlQFA/njrXC1qOFSMCHrUcLHsVjH+aAx4cLLqwWNWxdmvXiDY8hFZI2BxNG9sENJ+Y9EXxww4kfvHkbTl8U7friPDtchiggfyO5upbB2aP5/i4cu3qhVLcAyrTrD6/B6X+cOHgj3dJ0jv29hRDtbkxl3cbg9EXRpisOTaumXaZCKFCf2t0KG+ly3huFrlnK+bOMtplKi1zo1h8ckxXGJJHMwmJQQCzkbzgfyJgRaDqHHrOq4hz/6CapubaTTC+GysJ/mbW0pVmK44e0+9Sy+qBwTfMFE5ya9gbz+5auWYofvHmLLTAFbLx+1zLMXOdCp5YWVZdNprMQCijomqU4d6wVS/44Drer66IfCFuHpnOIrKY451VkNUUMtVtkNzzjGP4FgP9qtVrfATAEIAHg6V38PgKhrmESsd6c8MEfXkO7QVl2ky0W8vF0v77Iy6hSNaUzAwa060h1va1Syd1/fH4FSpmwKO9GoSGqFN9KAkI+n03UXm9VQUt16/RGOb0w7k/6i8JVq+m28PcS7T4ZlXR7c8IHmUQAlVyyae0+WgjDE0rg03uLdandrbCRLq/ZPZCIBJx5eRhtM5UWuT4jEQkgEQngC3F7OLh8MbQ0y9BuaMLpCvOhkmckofGg6Rxs3Vr8+tIM5/uOeRKWtpPcHPPCrFfg/mT53DbrFTCqZaSvt0Dhmtbf2YzBPgMmK1T/dnljMGhkkIrzedAKI0rq/Vxh1Eg59xW5RFD2mqCg0u8rz3bhWLcG5pb66AfC1nH5uCvuLlZ4nbAxu2aMczgcV6xW6w8B/DWACIBXHA4HuWIjELYBk4h1YTmGd6/McT5Ul4aqbnS4INX1npxq7v6zSxHkeMArz3ZjbikMXyiBztYm5HI5zkqU+mYpPry1gI9vuwCUJ3OvBxiNOf0xjM8GKnphPOmhmGj3yaimW29wFSuxFI4d1uL0gAHxtXzOmM7WJmRpbu3qmiV1r92tUEmXTP8v+KJFeXl0ail06uK8kaFYcaXFdoMCeo0M9qkA+HwedGop95iopbBPB5BMZ3Fr3Fs2FhsVjyA0HrpmMTpMygpzXIp7MwEc69TsQ8vqC4ri4cZDL44dKl5j/YU2+QAAIABJREFUdWop5BIBJCI+2ce2QOmaZtYr8MOf3kOvRc2pabNeAYmIj1SGBlCeB61ezxUUxcPIA2/RvqJXS2ExKuELJTDcp4evoKrviD2f9j2ZziIYWSOGOAIAoMOohNNTPq86TU370Jr6YNeMcVar9RPkQ1VtADoB/L3Van3X4XB8f7e+k0BoFDr0SvhWHnurFOaN40qwupnDRT0dOnabarlFtCoJNE1ijM+F8GA6AHWTGDfsHpw9ZuK8kRSLBAjHU0Xv1Xr1rkpYdAq8/p1h/Kdf2dnXqml3s4diot3NUU23Bo0MBo0UnsAqro262XG598iPrz7bjVsPvQ2t3a1QqsvC/i/MFWWfDuD5QSn7eZrOoae1CT+/OA2RkMLpASMu31sCAPRamjG3FEG7Qcn2O/N74ok0JCJB1bHYTPEIQmNh0SmhlImK5rFYyIdBI4NcKsLtcT8xxu0ANJ1Db3szfMEEKB4g5FNoaZZCyM9nDDrcxh1CSKhO4ZrGpFWIrqYreiAL+Dx8fNuFoT49xEJ+xTxo9XauoOkcei0qfHDDye4ZD6YDEIsEbMXZlmYZe5kjFvKhVufPZjOLkbozThKeHJrOQa+WsaHczNkdAFqapUQfW2Q3w1R/7nA4frj+/3NWq3UQwF/t4vcRCA0DTefQ36GGyxcr8rCw9WirJlglC+XOUSmM8mSfHiIhH5/eXSrKq+WYD+HCkBn+lQR7G87cPpp1CjZ5LkO9Vq0yqqXo71TD5d+8duutD/aTjXTLGEoLtfvRzQWi3R2isP+ZPubKSdRrbsbpAQNEQj4mnSvseE06V2Dr0WLE7sbZo6ayiqo8XnGV3MKxqPdqgYStQdM5yCV8XBgy56t7q6QIx5NY9MURS6Sga5ZCJOKTKnk7wHODZvzFf7mOQau+6PXh/voJhdxLSte0wrQKpZVBTS1yNMlF+OjWAoB80QKDRtZQedAK9x9mz77j8OF73zgGx3wI/vBaWWXljZ4rCI2DQEDh7oS/qJrqYJ8ObTol7oz78M+e7SL7xBbYzTDVH5b8Owbge7v1fQRCo3FmwIhEMoMbY172FiuVyWLSGUKvWcV5sCMPWzvHRmGUh9qbi0IkAuE1+FcSsK97yzG3j8Dj0LJC6vnwQ7S7fzypboG8dmOJNNHuDrCZ8GuK4sGiV+CFQTPuPvKjTS9nxySZzkIiEkDIp5DLAe9fnQOQfwi9Pe4DkK9+e3U070lXOBb1Xi2QsHVsXVq8c3UOcokAF2+7ytblp48QY9FOcKRLiz//o5O4OurG5MIKnjqsg61LjXZSlXpLlK5poUgSth4tnN5oWbVaHoBLdxfZda67TYXPn2qHoUJBnXqk2v5j61DD6Y9BIqRwY8wLAOx+b58OFJ3NyHmsMUmlshg6osc76zlG1U1i3Jnw486EH199rpsY4rbIbnrGEQiEXaTTqIRIwC+7xWqzKDDpChdtmvPeKK7ZScLunaZaGOX5YyZcvb9UFDIml+SX3EIvokrJc+v5tnYz2mX6lCSb33meRLcMZ4+14uZDb8Nrdyeo1P9cWv/quS44/THYpwOQS4UIRZIYsbvx/Ik2pLN0Uf4fW48WEpEAqXSGDSMpHYvnnmrDtQduRFfT7GtiIR9alRhOX4zMrQalXafAmaMmXH/g3vBMQdgaDxdWMHF5FuNzQZha5Pja+W70t3NXDSdsnlJv49Lw1GQ6i1AkiZ62fDhwq06OPosa4PHwn3411nDnimr7v0WngEjI59xXrj/0Qizi48roEuwzoYbrN0KeQDjBqY/ACnehL8LGHChjnNVqFQL4MfI55sQA/q3D4XhnXxtFIBwwnP4YRuweLIfX4A8lOCtT2qcDaNPJMTq1jPH5EHTN+bCyBV+UJOzeBbhuCLluIF842Y4XBs3sa4faVEhladB0DkN9ejah7vkTbXU3NhTFw5wnipGxjbUrElK4eHsRPWYVMpksroy6QdM5ot0dZrO6PTNgwNCACTIh1ZDa3S1KDXGVCisAwMkjRkwtrOB4rw6H2lSwdWlw6b4bF28vlFXUvjBkxlee7cZAp5odi0JD38kjRujVUlx/4IG2WQKJSIBffDoDfbMUf/w7/cRLp0EZPtyCdy7PVFyXe9tVsBBtbIk70wFct7vhC+bD/HM54D+8PYr/9etHYetQ73fzahqLXoE/++4Q7LMh3Hvkh1ImxPe+cQxjM0F2Dxvo1sAbXEU6S8MTiCMcTzX8mZhr/6coHgR8Pm6NL3HuKz+7OA0eL18E47c3Fxqy3xoZiuJBJODj6n03pz6Ix+TWOFDGOAC/DyDgcDi+Y7VatQDuAiDGOAIB+YepSdcKfn5xmg0hOdGrq1iZ8pM7LoxO5cPJnJ78YsmEL5GE3XtD6Q2kTqeE3x9lX/vZJ1P48Fo+f0lhQl2tSlo3B3TGCMDjUazhYCPt2qcD8ATimPdEinTLvE+0u7tUujkvfL0RtLuXVCqsMOkK4+cXp4oOvvcn/eizDCGWSHH+TDyRxj9/vod9jcvQJxbycf5EG67cX8KgVY+BLg38oQR+c9OFl4bNZH41IDSdw9FuDTzBBKeuroy68a0XD+9T62oXpy+G//7eQ9azlXl4PXnEgM8eesl6uU2KPYrVbEi1rUMNnU6JQCCGeW8UP3q7YB0lZ2JOaDpXcV+JxFN4tBBCdDVd1Hek3xoHms4husqtj2giRQxxW+SgGeN+BuDtgn9n9qshBMJBwumL4W9+che9FnWR6722WYoHU8ucP+MNJqBtlmDJH2c/v5bKsO77JGH33lGpj+0zIfb/i4o91MnYMEYAALD1aDetXV8owRYFKNUtUD/9c9Cp1r/1rt29pFJhBbGQj+nFMOfB97NxP5yeaNnPAMC8NwrPSgLG9VxIlQx9wcgaTh0x4rq9+Jb71riXeDs0KOeOthZVuy5kcmGFzO0tMLGwgl6Luiika8TuBp3LwRtYhUBAIZOh97uZNQm3R7GL9Sh++9IMxmYCaNMrMNxvyPf7un7JmbgciuKV5YxlcPlikEuFiK6mi/qO9FvjIBLxseCLcb634I2RQj9b5EAZ49aLPMBqtSqRN8r97xv9jFotg0DA35X26HTKXfm9O0kttPFJqLe/pxJPqtu3L81ALhWyVaIYPrq1gEGrjnPz1KulkEtFrDEOyFePYowcR7o00GoP/sNWvWmi8O8Z6NZwJlM/yGPzJNp9+9IMkuksjFrZE2nXbFCwyeiBYt0CB7t/GOpNt0Bta/dJdLsfY8fVn+omMdzLcc7Pj88FYdTKOOePrlmKH7xxC185342hPgMmnNwVVP2hBNRKMbexb8KHoQHTFv+anaEe59BW2M1zbik6nRLtRiWnrkxa+YGc2wwHUS/XHizil59Ml4V0nbGZsOCNYtCqg1ot3+dW7g57oVvmjFFIMp2Fw7WCX1ycLjDSRcu87IGDcyY+SNq1dWs5L3pKizUxfXdQ9/ytspFuD9JY7QdGrZxTHyatHCqVbB9adLDYij4OlDEOAKxWazuAXwL4fxwOx99t9PlQaHWjj2wZv5/7duCgwIS81QsH6e/Z7cX2SXRLUTyMzQSLqkQxrCUz4IFX5DUE5D0qxCIBYolU0Xt6tRQPpgMQC/k41ac/MP1diYOkie1CUTxotYqiv+eZoyZcvrdYlkx9q2OzF4eEzWqX0S2AJ9auQVO8oTO6Zd4/6NqtN90Whlgz7KR2D5Ju92vsTvXp8dHNhaK5EE+kceSIltMw0qwUQyLic84fiUiA6GoaE3Mh/NPIHI4f1mPeXW44NbXIMbtU/joAPJwNIhCI7Zu3Q63MoYOk3Z2iw6DALQ5d9bSpDuyYHFS9jIy6OY1Fa6kM2g1K2Hpa9qXd9aDbwjNGIWIhHzOLkYr9XrhmMgam/TxXHDTtcu1FzL5S+JpOLcWkM7Tn/bafz2cHbaz2GoriwWJQ4P5k+f7QblDs65nhIFBNH9V0e6CMcVar1QDgNwD+pcPh+Gi/20MgHAQKS7eXVokCgDsOH169cAgOZwj+UD45MBMGYdYp2Fs/sZAPi1EJrUrKljIn7D6F+UwGujU41acHANyc8MITTODMURNaVFJct3twuL25bsamULdcFc6AvHZfebYbs0vhIu3enfAX6dbW04Ll8BpbTKAe+uegU1rZ84WTFugUIiz4Y7DPBnF3chknjxhh1MjqTrv7QaXCGQDKqtsyD0ZXRt14cbgdkXgK7uV40doP5D0XhAI+jBoZp9HumWMmXH/oxfRimM37F4okkUxnYbWoG/pQ3cj0mptxesCA+FqGXZflEgF4vBypuPsECAQUZhYjZXMLyM/Nl09b0G0gfblVCs8YhVTzKC70hBML+dCpZXh+kJyJCynciybmQ+hsVSJH53BlNL+vMBemRzo1eOVsJ+m3BoKieIgn0jg9YMDqWga+9cJdMokA8USahCtvkQNljAPwZwDUAP7carX++fprX3Q4HKReLqGhYUq3j9jdOGMzsSWlO4xK8HjAo4UQJp0hdJqaMOkMsd4qZr0C3uAqhvr0sFrUeHnYTBbKPYKieJj3RsvymVy87cIrz3TBE0ywoZtryQy++0Vr3VWqY3SbTGdZ7SZTGfhX1mBqkcHUIsc/XJ2FvlkCgAf7dL7gyNmjpiLdnj9qxPPHTUS7e4QnlMDf/OQuu47MeyK4dG8Jf/yVAYw8cLMP6MlUFr/8dBr/2+8P1p1294NKhTMKjXRmvQK5HNjcR5fuLuJkvwEqhaho7Qceey48cq7gz/5gCNceFBv6mIcoPg+s4cXWo4VcIoCtW7Pnfz/hYGDRK/DCoBnXxzzI5QAhn8oX4LmziHcuz+L7r50gD+CbYHE5juEjBsy7I2X54toNCrTr6zM8dS8Z6NayZwyGeCKNXqsaqUy+mA1TOCOZzrJn4meOt+JzQ2Z0GpXkXMGBRa8Aj5dPh3BjzIshqx5DVh20Kimiq2ks+KLwhVbR09q0300l7CE0nUN8LQ29Rg5faBUtOUAmFUKvlsEfipO5tEUOlDHO4XD8KYA/3e92EAgHjVKviYEuDV59rgfX7Et4f8SJrz9/CHQuf+vXa1FDIhLgjsMHAZ+H+FoavtAqXjnbSRbKPaDQo8jMkTR40KrHrwvynDA5ZMx6Zd0ZNEp1q5AK8fJJMzoMSrz96RT4FMVWcdSppWg3KHHH4YNIyC/SLVC9mABhZ2C0Oz4XYtcRRruDVj3+y6/sZbrN69sLy4X60u5+Uqr1QiPdvDeKv3zjNmg6B4riYbjfgBxyCMdSRWMmFvLR1aoCAHhDq7j2wIMzA0Z888VDoOkcmzTeHYjjxpiXcz0aIFUeGxaLXoGbEzx4AnEcMqsQS6QgoCj0WtSYdIWJMW4TjM0F8d6V2bK59czxVvS0qdDeQvpwuzycDWC438BeUBu1UvR1ajG9uIKnDusQjiex6Iuzlwx8PoV0hsZLw2a06xTkXFGFa3YPmyLh6ugSzj/Viou3XUUVaT+5s0iK/TQQNJ1DT5sKf/fBZJmn/bc+30vm0xY5UMY4AoFQGS6viWGrAZF4Gu9eLjfufPvzVnxyZxHHD+mIC/4ewVXZqzBpsFjIx1oqw5nLZHoxXJeei1y6pekcei0a/Ojt0TLd/sGX+vHhzQWi2z2mVLuFicZvjXsr6nYtlYEvtErCE/YAms6hXffYwM2jeLh4a6FszL56vht8iirbFz65s4j/+Ws23HX4seCNosesQjpDN9R6RNgcFMWDfSaE7jZVmbHWPh1Ab7uq7i6PdhKK4mHOHeWcWwDQaSR9t10oiofxuZV8ChexAC8Ot0Mi4uOt305iuN9QbDhaXxtfvXAIzx1vRTvRblVKK3yLhXzE17jPACNjXnJOaxAEAgozS9z5GGeWIrjwVBupDL0FiDGOQKgxCh+OLHoFhAI+58K46I/j//jDYfIwtYeMjHmqJg1WN4nLqooyuAPcOU7qhVIdjs0EOPtq3hMlut0HqmnXoCmvhsvgDyVwesBIxmsPYQzcbxVUC2RIprPwBlfBA4/zvesP3HiwHg6eymQhqlA1jms9IgbXxoGmc7B1qxGKpTh1dOW+G9/63OF9at3BxxNa5aw4CABzSxF0fLGPzKVtUpgzbsiqx6W7LvRa8t68lS6PAuE1WAbb9qO5NUVpPr5qZ1eHM0T2hgaBpnOYXeQu+jS7GCEa2CLUfjeAQCBsHYriYcoV5nzP4QztcWsam9KbxEKYpMGhSBI6tZTzM4fMqobZyKr1FdHt3rORdoFcRd22GxSwdZFwxr0mP2bcc8XljSGRzHC+51tfiwBUXY96zc3seuT0xfDWxSn8mx/fxFsXp+D0xXbgLyAcdJ451gqXl3usJ10roCjeHreodpj3RGFs4c4JZ6rwOuHJOTNghFImxFoqA7lUyJ61NjIcETbmzIARYmH+sqbaXmHQyPCzT8i+0AhQFK/qukbm1tYgxjgCoYbJ315xPwiTanh7C3OTyIVZr4BcIoStR4uuVhV7wGEQC/nIZOiGOcwQ3R4sqmnX1CJHa4uiom75FA85Mlx7TrUx6zA1QSLmDnzQqaUIRZIAUFTluBCm0ioAOP358OUPbjgx74nggxtO/ODN2w2zVjUyJo2s8oOXlhiUKuH0x/A/PnCgTSfnnFs9bY1z8bbbWPQKvP7dYfhDCdZgVM1wRM4Xm4fJ+fuls50waGSwGJWcehbwKbx3bZ7sCw2CxaDg1EE7qQy9ZUiYKoFQozh9Mdyc8EKlEEMpExZV0RML+TgzYNjH1jUmhdVDGZQyIVpUEniDq/CHVjHlWsGXznXC6YmyhQskIgGujLohFQvrPvcGUyRAKODDYlDCG1xl+4vodv8o1a5YyIdBI4OmSYwr95fgCcTx5XOdmG9Q3R5EuNYbsZCP33mmC4lECrfHvWXvSUT5Y59RK0MoksSI3Y1Xnz+ESDwFhzOEvg41nj6Sn4O/vjqDZLr8wZXkCWoMaDqHw+0q3J/0l+nocDsxKFXiyn03Umka6QyNM0dNiK6m2DVTLhGg16za7ybWBcxZYnoxAotRCac3yq5vzCVDqW7J+eLJsOgVGBow4Y33xvAPV+dwesCAZJqGezkOvVoKdZMEV+4vASD7QiOQydBQyoQ4PWDA6loGvlACerUUMokASpmQ5IvbIsQYRyDUIE5fDB/fcSG+loE/FMTRQy0wamS461hGr6WZJL7fJwqrhz5aWMHTNiPcgTjuPVpGm14OlVyMLE3j9rgP3uAq1E1i2Kcf506r99wbTl8Mf/W3dzBo1WMttQYAGOzTQSWXAMjh6SNEt/sFo93rD70Aj4doPIUFXxSReAqfO2XBgieKWw2q24NKabViq0WNMwMGHOnSwu+Plr3Xa2nG/all2Hq08IcSbIXBDoMCSpkQTXIh7k4uI52loW2SwB1IwBNYha1HW1RZFyBj3igcO6TDgie6ftZIwKxXoEkugjuwCqcvRtbrEjyhBAQCCrYeLUYfLcNsUKCrrQk8AGKRAOeOt5I+2wFKCw4ZNDKIhXyM2N04YzMhlc7gwpAZsUQaC94Y+jrU5Fy8DQY6NfAGVxFfy2AlmsTRQy2QSvi4NebDkS4Nuz+QfaG+oSgert5z4/yQGZPOEFpygEwqRK9Fjcu3XXjuWCsZ+y1AjHEEQg0y6Vopq3AmFvLxzZetOH/UuM+ta2yY5OpOfww/eKO8OuXpAQN0aimc3ig8gdWin633EIqRMQ8GrXrcGi/X7uvfGSIH5X2G6f+iqqoeotuDDFe14krvOX0x3LB7yubecL8Bf/lG8YPtry+VV+hmqkIDZMwbhSNdWiRWU5heiuDT0CJuT/hYXVy5t0TW7RKm3WHOKp7nT7SBzwPOHmuD389d2IGweUoLDjFGOB4PcPliGOjS4NxRE4726hEIxMhatQMUPnNML4bZvePq6BK7PyikQtLXdQxN53D2eCvefH+8aP7dsHvwzc9bydhvEZIzjkCoMSiKh+lF7tLS43NBzgSaJKnm3jNi565OGV/LQCEVceZcqOcQCka3laqcXX/orfhzhL2jUlXVRtVtrVB6CC6cN8x7lcb2s4K5JxbyK85Rpip06ZiTOVrfWPQK+EKrcHqjRbpgwtIIeSiKh/HZfFEVo1bGrpXJdBahyBrOkIvSHYGieFgOrxXtRTSdw9XRJXiDq/g///gUXj3fDeN63jhiINg+1aqtM+HAyVQGZ23kLFDPUBQPkwshJNNZiIV8dp1LprN4RIqjbBniGUcg1CDuQHxTrzM5NSbmV9DX0YwzA0Zyi70HbFSd0h2I48KQGavJDObd0YYIoaDpHJ59yoSPbro435+YLw5vINrdezaj2+F+AzJZGp7gKvos9a/bWsPpi+HtSzMYmwkWzZtqY+v0RKFuEsMTWK1aidAfSuArz3ZjoFOd9/7d5BwlYUu1TTXtjM8H4Qm1soaPRoaieGiSi4rCwJnwPd9KAl3Gpv1uYs3DrDml/cusL92tKrYY1siYBxPOFfRZyPlhu1Q7FzB7h39lDR0GJWg6R9b8OkUgoLDki+PcsVaspTJF83DRF4NAQCGVym78iwhFEGMcgVBDMEUbjFo5nJ7yUIdec3ORMaMw3GzeE8Endxbx+neHYNGRQ8luwlQ6nPdEyt7TqaWwTwfgX0lg0hmCWinBWZsB7XU8JszBeGoxjDa9HE5vuXYLw94qapeERO0qm9Htkj+OpweMEFC8utdtrVFt3nQalRXH1mJU4ua6d1wokoStR8s5R3stanzxVPuG38XMUWJQrw+qrQvtegX+869G8UdfHmj4sZ1ZinCGqDLhkyS5+fYoXXMK+/fWuBcGjQxnbYbytclNzg/bZaNzQf4zasx7o7hmJ2t+vZJKZTF8RI93L8+WzcNXnu0ihrgtQsJUCYQagTlgvHdtHkI+xRku9swxE/vvkTEvp1v5P1534ueXpkkJ8l1AIMgvqU5fDFqVhHOMmGpfcokA0dU0nN4ortnrN9SH0e0HN5yYdoVB8bi1y4S9URQPV0bdnNr98LYLC36i252GonhseMFAt7aibpnQBD6fwvRiuK51W2ss+GP4sMAQwJBMZ/Hx3UX81d/drbgmPdWrK3rNqJVDKROWfe6ZgjC7wrAlJlwl/3peE4Xzft4TwQc3nPjBm7fJvlOjnBkwlmlHKROiu60ZPe0aLJbkkWxEKoXyJVMZPG0jIarbhenfwvC4dJaGUSvDySMGgAd8Nu7F5QrnBxJS/WQ4fTG8dXEK//KvP4ZSLubcO+SSx+eCgW4N/vINsubXO8srCc75tbyytk8tqn2IZxyBUCMUHvSYZLXJVAa+lQT6OzR44WQ7dAoRnL4YxuaCGJ8Lcv4e93Ic854IPrzpIjeFO4R9PoQbY14seKPoNCkBANfsHpw+YmRduS1GJRRSIRLJDL56vhsL3ijOHWut+wpUXImWnzlmAng8OD1RHOnS4FSfHgDw1sUp+MNrWK4QJuf0RPFf/2Ec/+LL/US3O4DTF8OlUTemFlZgbJHD1qXBWx89wnC/gdVtu0GBNr0Cdyf8+MLTHVDIhfAsr4KieHWt21rC6Yvhx++NV3x/bimCXksznN4YTtuMEAkoTLnCsFrUGOjW4D//yo6TR/IFOhb9cTyYWsZQvwGtWjmu2z043F5coZsJW6QoHs7YTEXhKrx1w+68LwqRkOLMMUbmbu1h0Svw+neH8I/XnfAGVzHcr4c3uIpP77jQppcjHEvi3nQAT/Vo97up+4InlMD4XIjzPf9KArYOUvBkO1AUD7NLEbx0yoJgZI1db7paVXjv6iwSyQwAIJOlIaC4/UzIfrV5Sr0LF3wxPHPMhAydg8sbQ7tBAaVMhFAsidde6kVfezOuP/QAyOdLDEWSeUM0WfPrCoGAwsxSuYckAMwshSEQUMQDeAsQYxyBUANUytki4FNoUUkh4Oe9Whb8+YeyUHQNvRY1Z6gR41ZONsmdwT4fwo/eHi2vmnrEyFaZUjeJcdisgjuwilgijVm7Bzq1FHIJhbNHTZBL6rMCValumYf3+FoGK9EkTvYbcHLAgNV4Cn/zk7uQS4WIJ9Ibapfodvtwhfzcn/QXVUdTN4khFPDhC+bzwjycDa7rVlDXuq01RsY88AZXK4aX6tRSXL6Xr4I63G9AIpvFGZsBfRY1RsY8iCfSyOWA96/OlVc5LkhrwDzIMmGLZr2iqDKyy59/YPvx++OYc0dh69GiTafEry5Nswd08kBcu3QalFApRDh2SIs33p9gPWJSmSzs0wG8euHQfjdxX3D6YnAsrMBsUHDOv74ODdH7NpnzRHHssA7vXi6u8myfDrB7FgAcNqsRS6Q2TIVBqE7pJSpN53Dp3hK+8eIhuLwx3Br3sfPf7Y+jv6MZAMWZL5Gs+fUDTefQZWriTJPU1dpExniLEGMcgVADlOZsYXJkMJslRfEQX8sgvf7A02tRo6dNxRrdGArDzQDyYLQTfPaQOxy4sMpUKJJEZDXNmU/my+c6cbxOvQk20u30Yhi/+WweXzzTiV6LGv5QAm0WBXotzVW1S3S7fTZTHS0USULdJOY00tSzbmsJxuCdTGchEQnYsWMoXfPXUnlD+PTiCn7xyQwuDLVXrKAKAA/nQkAOZbnfztqMeLdAF0B+ft8oSI+Q14ofXzvfg7c/fgSAPBDXMjSdw5kBI357cwHpLF2UxLvNokAskUY4kYJKKtrvpu4pi8txXB11o9Ok5Jx/pNr09nD6Yvibn9xFr0XNuUZJxXwoZUKk0jRiiVTFdZCMw+aodPkvFvKx4InB6Y2ConhF8/83n7kgFFC4O+kHTeeK8vkppOTSrl4QCCgYCiqoMoiFfBg0MlLAYYsQYxyBUCOcGTDikzuLAFD24HTGZsLIA3fRQ9DD2SBevXAIc+4IXP4YjFo5hHwKI3Y3+3PkwWh7CAQU5w0RUFxlyqCRwuWLcRo/Fv1xfOVsZ92OQzXdAsCpI0b88pPpMu3+3kuHMbsYwbwnCp1ayt6yAkS322WjqqmFul00WTDQAAAgAElEQVTyxxtSt7VCocGbSV+QzmbhWV4tmzdAfnx7Lc24MeaBukmMtVQGBo2sqIJqYfhpJJ6qWAjIt/L4ZyoZ9JLpLJb8MfZhmTwQ1zYtzRK4fLGyixXGS8mokWHwUMs+t3LvcPrzaUEAIJHM4JVnuzG7FIY/lIDZoMDLJ9tJwaxtMjLmgVwqrLhGTTpX0N+pgUohxiPnCpy+aFH4vE4thU4tQ6dRSfarTVCpYIu6SQz3chxA+cVqofGN8VJk8iW+fNK8t38AYdegKB6i8TRODxgQX3s8v+QSAaLxNJt7mPBkkAIOBEKNYNEr8Pp3hvCVZ7uLDiWVHoISyQwczhAeTC8DOaBJJsTV0SX2MEJuCrdPJkOzOeJK0amlCEWSAAChgM8eYkpxB7hfrxcq6RbIazAUWePU7thMEA/nAjhh1cE+HWC1S3S7fZjDNhd6zWPdAryG1W0twSTXp+kcro4uYXw2yHqXFq75AKBXS6FVSdFrUUMk4CORzODYIS10aunj37f+oMVUfeZMhm734mi3hk2mXmrQK8Tli+EbLxzGn303X9WVULvIRQJ0tTZVNLyOTgca5oHM6YvhB2/cxrVRN5zeKG6O+/Du5RkopCKkMll4A6voNjXtdzNrGubiKBRJcq5Rtyd8cHqj+OyhF5fuLmL4iJ5dB+3TATaEOrceXk/YHFwFW+KJNMwGRdWLF8aznsG/soYOA1nz6wWaziGWSOPSveL5deneEuKJNJljW4R4xhEINYRFr4BFr0Ak/jgnhrpJXPEhyB9KQC4VwumNorO1CRcGzZheDKO3vRnPHDORvFvbhKkSxeWybevWIBJPoadNBVuPFp+NeTjzmPSam+t+A+PSLZDXrq+KdoUCPkLRJM4ea8W0K5+T5+kBI9HtDjDQrcUndxbLdHv8sA4tTRJMOFdg69YgtpZpWN3WCozBe2TMC4czhCNdGvR1qNk8cQxiIR+2nha89eEkm/Cc8Wj49uetsE8HADz2YDVqKxvYHM4Qfv8LVniCCfhDCbS2yEHxeZxa6TAq0WVU4OoDD3783gQb6krmcW1yasCIt347yfne3FIEk0sRHGoAo2ulqp2xRAqhSBKHzM0kmfk2KfTSYsJPASBZyQt3OQ6lTIjoahrJdBaewCq5wNsCzJ5y5YEbkwsrMOsUaJKLIJMIql68FHrWA0C7QYF5bxTtxDu0LshkaMy78x6TzPximHNHyHq3RYgxjkCoQc4MGPDJHReb16k0cTeTfL21RY67k34A+UMyAKQyWdx46MlXtCRsi5ExD66MustCIrpam3DtgQfdrXlD3NsfT8Fi5M4n00jjUKhbAGXaZXTL3ILbpwOYW4pAKKCQymRxe9yH2+M+UgV4B3g4GyiqmsqENI7NBKBtEuOPvtwHIZ+P395aaHjd1gKMwZuieNBqFfD7o/mHqVE3Jl0r6DQ1Qcjn4ZErxBriGJLpLBa8Ubz+3SGMzYZwYyxfFY9rb2EwaGT48LMFSEQCuPwxeIOr+PxpC/sgzCAW8jHUr8df/91d9nU21JXM45qk36xCt1lVpguxkI+BHi3uT/og5vPq+gHcE0rgkatyqL9BI8OpI8QAtBMwqS5uO3x46ZQFOo0EH33m4vysyxvD+RNmeAJx+EMJdBiVeHHITNaZLWDRK/CtFw9jzh/Hj96+B6GAj3AshVNHjEhlyi/pxEI+mwKB+XcuB/zlG7fJWl9HGFvk7CUec15PprMwtcj3u2k1CzHGEQg1SKknRH+nGvbpANJZusgwRPF5GO43YMTuhlmvgFDAx+X7i6DpHKlIuU2Y8AkmJILZmOzTAfhDCWSyNGKJfNEGms4hsZbGK892Y84dhi/YmIfEUt1aLWo8ZdXh4WwQg1Y9q1tbjxZdrSrcnfTD1CIHD4CRL8dIyE20uwNQFA/jcyuY90SKdJtMZ9FpbIJSJsI7V+bgX0nAoJYW6Vavzoc4kv4/mBR6K1r0Cnzrc4fZsEF3cBX/8Zd2zp9zLKzg2y/1guIB894onN5o1aIQAj6Fq6NLkIoF+PrzhzC7FMa9R8t4qlcHo0aOmw+96DApYWqR41efzKDXombz19F0jlTzrnGef6oVI+ueYYX5u8amAzAbFHCHVuvaGDe5EEKbTs6ZM9ZsUODcURP627lTARCeDItege994xhujHkxOrWM1hZ5xcq1OrUUH37mBJD3vPcEV0muuG1y8ogRf/LqcVx/6MXEfAhCPg+mlibcmfCXzf9J5wr6u7SwGBTwh1Zx+T45s9UbFoMCEmErmzPO1qOFXCKAXiPb76bVLAfSGGe1Wk8D+CuHw/H8freFQDioFHpCAMByOAmpmM9Z+fCZYyZkaeD6eoLvq6NLpCLlNilNcltYfbK1RQ6RkCqrLDg6FcDTNhNSmVjDHhILdUvTOeh0Six4ovj5xamyZOCMbhljJ9HuzlCo3ULdhiJJnOjTFa8hnmLdPpgOYDm8hpeHzaT/awRmnEwaGXurXYpJm7/VvvrAAyGfYg1wTFGIZCoDXyiBdoMSMokAV+7nQ2AHrXq8e3mmbM/5468M4M1/HEf0bt4bbm7d8FuY4JvM49rFolPg1QuH4HCGoGuWllUKvz3ug+BrfAzWYcVliuLBE0xAJRdzGqrVSjEGOkiRoZ3C6YvhR2+PFunr+UHzhpWjPYFVDFr1ZBx2gMJz288+mYLLF2OT+HPN//uTfJw/0cb2PVnr6wOBgIK2SYJ3L8+W7fl/+OV+Uk11ixw4Y5zVav3XAL4DgGSHJhA2AbO5iQQ8LHiinHk0MnQOdxz+ogSrpCLl9mHCJ0o9Evl8Cq06BSjKV/T5wnwyxw/pGrr/C/92xgunkELdMv8m2t05ztiMuHRvqcgj8eghLYQCClqVBIHw48IahbpNprOk/2sUms7hUFsT7k/6yx5ie9pUAICJ+RX4Qqv40rlOOD1R+EMJrKUyUMpEMGrlCMeTcMzn89IppCLEEinOuXtv0o9Umi4LZWHmMNFR7dPbrsLV+y7IxAJODYxOLdelMQ4AHi2sQNMk5gz1p0mxgB1lZD3s0aiVIRxLYdCqRzyRwoUhMyLxFFy+GDqMSvB4wJXRx5WjxUI+nhsklTx3GoczDJVChNsTPihlQvD5PM75H4qskbW+zqDpHB7MBDjH2z4TwDmbcZ9aVtscOGMcgGkAXwfw5n43hECoJZ4fase/+/u7nO+5vDE0K0TwJDNsPhOS0Hb7MGGXY3MhvMPhHfKlc53wBRNsaBYA0v8ccHnqAMW6BUjf7SQWnQLffKkXf/uBo0i3D6YCuDBkhn8lURRWyCRmDkWSpP9rmF5zM+vRwBgQ5BIBes0q1mMymc7g9rgP3uAqG8I83G/Abz9zFmnFUqVKnssXw+dOWdjcTbYeLSQiARZ9MaKjOsGiU+C1l/vw97+pXMzB6Y/DoquvXEI0ncOxwy0IhpO4bs8bf5h5AgCvf2doP5tXV1AUDzweBVuPFv5QAl8401HkuS0W8mHQyGBskcEbWMWJXh38oXw6hfMn2nCkSwu/n/t8QXhyaDqHE70tuDHmBQDIpUJ4llc5P+sjZ4a6g6J4cHljnO8t+GINU0l7pzlwxjiHw/Fzq9XaudnPq9UyCAT8jT+4BXS6g18Nqhba+CTU299Tid3QrQ5Ar6W5Yh4N5qDYblDgq8/1oL+zNm6sD7omdDolPr2/xHlT5PREMekMFYVmdRiVeOV8d830fym7oV1bt5Yz906hboHa6ruDrlsAmPM84tStfyXB9jujXVOLHAaNFOeO5x9wao0n0W0tjN1GVPobdDolpDIRrt5fBA9Aq05eNKYvnLTg2gM32iz5nExMNcI1juqF3uAqhvr13BVUTU24dNfFFm1gLih+55kupDPZTemoHsZhJ9jNc+5mqDYOwUSqav6uK6NL+NPXBnezeY+/bw/08nA2gE/vuDA2E0DLej7NeXcY3mACR3u0eOGkBUMD1YvbNIqud0K3D2cDuHh7Acl0FmIhH86S6I9kOgunN4pD7c1oVorhDqzi7DETBvv07DmhFvr7oLexsH0nB4yYWYrA6Y1WLfLT2iKHvgbPDBvp9qCP1W5Tab036xVQqUjeuK3o48AZ456UUIjbIr8THPTbFJ1OeeDb+CQcpL9ntxfb3dCtTqfEM0dNuHxvqSwEicmjIRbyYdTKoVeKD0xfV+MgaaIUJv/FlCeKaVeY8zP+UAJyqZANzQKAF4fMaJGLduXv2otDwk5rV6dT4lSfHh/dXKia/0Us5OPF4d3ru53kIOsWyGt3KbCKqYXK1QDVTWJ4AqvrIYpCfP3CIegUovz7O/y3HSTdHvSx2wwb/Q06hQhfO9dVlMOH+bxOIcL3XzuBSVeYLeqhbhLDH0qU/Z5kOosmmYgzd5NBIy2qqsp8PhxL4lsvHi76zq38DQeFg6Td3WCjcdBIRRi06nB73Me5fk86V2Cf8sGgku5rO3cCpy+Gv/nJXcilQoQiScx7orBPBfC5U+3oNKlg61KjXaeoCV3Xim4/vvnYG7fSOgQAM4th/MUfnQSeRdGadlD6uxoHvY2l7WuRi/DciTZ2f6hU5OeZ4604YskXMdnJv28/n88O+ljtNgIBVXHPb5KJEArFkcnQ+9jC/aWaPqrptuaNcQQC4TGF1SrH54Mw6xVobZHj1kMfnj3eCoNWhlvjPsRWUzgzYCyqbkSSq24Opy+GkTEPJuZX8NRhDcLxDHRqaVWPRJGAj98514lTNhNr0CA8plS3umYpjva04NFCCBajEma9Ak0yEa6PeYAjRLdbhdHu9GIEnSYl2vTcyfwLPRL9Kwm8/p1hEu5ThzDzpnQOMcm623RyXLd7sLQch0Er49RKIJzAV5/rgcsbhcsXg1mvQF+HGp/cXuT8zkcLYTJn6wxzixyvPNuN2aVwUe60EbsbJ/sNuDvpxxdOWva7mdtmYmEFvRZ1Udj1iN2NbDaHL55q3+/m1R1MxXrm/60WDVKZDOc61K5XwOmLwqJvbK+lvcLWocbr3xnCxbuLmHdH8aVznfAGV+Hyxtj5b58JsMY4Qn1A0zmsxJKcuTLDsSTZ17cIMcYRCHUG8yDlCbXiw1sL+OD6PM6fMOdDhu6vV7ZzR/DJnUU2t8nNCS88wQSMGilO9hlICfIKOH0x/ODN2+yNUJNciHAshXaDsmplr16LGl9+uqPhb9WqUarbv/+NA0/bTEAORV4XF28T3W6FQu0atTIEI0no1dINK9L1d2hgVO+uVwthfyi8WOjraMZZmxEdhnyFZ6cvhn//0/sA8h4pAorHqZUOkwq//nSa/dztCR9uT/jwlfPdmHGXewzrmiWY90bRriNztV7Qq6QQ8HmYdIYglwpZjxmxkI82vQKjUwE8dUhX0+vI+MIKfvnJdFle2DM2EybmSaXI3YCmc+gxqzDvieCMzYTrdjeG+w2c65DZoMCvr8zBv5JAf4e67LKZsPN0GpX44tMW/PTjabx/dQ7A49yJyXQWnaYmMi/qDIriodeixlu/zecJLcyV+dpLvWS8t8iBNMY5HI45AE/vdzsIhFrGqJaCx+MhlabhCcQ5Q4aujLpB53IIx1Os+//Hd1x4YdBcEweZvV74x+aCRf+ec0dg69FixO7GGZsJOeSKbgZH7O68u/5RUmFoszC6BYBYIlV2C050uzUKtRuKJNFpbEIgnCi64dSrpRCv6xbIP+Q0euLlej1cFhpnKYoHs16Bd64+fpjVqiSgKB5UChFCkSSujObXOIoHzHuj0DdL0WFqwrw7zD4YewKPw3tC4TUoZcKifUcs5EMsEuCa3Ytvvqisy35tVPram7HUq0N8LQORgM8WBkmmMuhqU2FyYaWmjXEjdg9nfs21VAYDXRqi5V3CqJFCKROyOSuZsxazZ5n1irxx4MNJJNYLPTk9Ufayeb/ye9XrvgEUX+LYutVQKUSce4DVot6vJhJ2iUyGxrw7UnRuZLyE5zwRZDLV82USuDmQxjgCgbB9KIqHKVe4Yp4NsZCPYCyJcDSJ6cW8BwNz22vWKw+cUaPwcFPq0bHbt6D57/NifC7Ibjw3Hnpw7JAOvRYVFn1x3Br3gkfx8OJwOwIrCbh8Ubx00oIzA8Rj60nYSLcAMOuJQCUXY2y9xDrRbWUqabfD1ITEWhoX77iQStPQNksgl4oQT6TQrleir0PdsNqlKB7mPNE9H6u9ZGTssXHhjM2EW+Pex14/nsfVoG+P+4pC8nraVPhfvmbDD964BYNWDm+Qe47Oe6P43Rd78XAmgKXleNEFhVmvwA9/8QAtKkmRNx6hdrHoFRjuN+DaqBstzVIIBRT0Gjlb3MCnlkIhF2Gwp3YSuTOEEymIhfwy4zKQz6/56vM9+9Sy+oaieBh54MX5E2Y8mFqGWMiHukmMW+P5Sp7qJjG8wVVomiSsIY4hmc5iZMy7YTGNnWYn9viDbMgrjQ6Z90Rw/qlWTm9FvVqCH/7iAYlcqCNEIj5m14t3aFVi2LpbYJ9ZRiCchMWohEjERyqV3fgXEYogxjgCoU6h6Rz6OprxyZ3FompHFMUrulnUqaU4d6wVI3Y3aDqHZDqL6cUwXh4279uBoJoBY6Bbix+9PVp0GGBuQXdjsy89fDCGn3/2XA+8gThGpwIADxjq16NJJkIknsQzT7XC1qE+sAeqg0wl3QKPtct4IBYaCQ6Cbpk2AvuvW6YNpdqVigX4/c/34cHMMvzBBJ7q1UGvluH2uA98PvDKuc6GNY4s+GP4zW0XYqtp/PYz556O1V5SmIupUqVUphq0N7haFJKnkAphbJbi+6+dwC2HD+1GJeccBYAPP3NCp5bC2qHGlftL7AOzrlmKh7NBDFr1Rd549WbwbDRsHWoEwwn4VtYQT2Tw7uUZVlfe4Cr8oQSkIj7622snj9Sd6QDuOHzsftOmU+JXl6bZJOWdpia0amQNuV7uNjSdQ69FhY9vLeALZzrg9ETL8vWdO6rGeEnEAoPDGdrT9nIZqja7b1AUD/PeKK7ZD/YFUOElDsOVUTde+1wvAuE1OJwhHDaroG6S4OFcqCYjFwiVyWRodLUpcWrAiCV/DLNLEVgtGrTqFPj/2bvz4Ebv88DzX9zEwQMkARA8QLLJJptNNtWnpFZ3S2rJsWN7FDu2ck7ZqZnZ2qOc/WMrf+wmWzWzldra7NRsaqt2NjuZnV1vMpNMjrEdeRQ5vmRdLbWkvg82j242SRAkcRAEiZO49w800AABsi8eIPl8/rHF5vHifZ/3fX/v8/5+z7O4Et3XzRuehSTjhNjDTg+28P7VuZJuR2WzIIoetD6+OQ/Agj+yI9u7NoHxXJ+Vf/2318lkspjrdHxyawH/ymrFB8eLI54tudFfGvNgazSgUStIprJ4lnLT8LPZLJ+NlM8m+fXXD3K4o0EG58+gUtxChRk8a2J3p+IWSmP3YEc9iQfLaTUqJdlslpVwYlvjFirH7qkBK3/10/GyfXj+RDsqpYIOi2lfxu7tmQAfXJvDF4jRYavlhUFbbjn0g32x1cdqO+UT3jPu4IYzUPNddQPBOOY6Hel0hpeGcsuWu1pys1CdvjCX7zycqdLX0VB6XXwQXycHbHx8cx6dRoWxRs0rx1p578pcyfVzLyU896u+DjMf3bhDQ62usAS6+OXfJ7fcGHXqXXGMb88E+PN37hS6p+Zi2cfXX+7he7+4i06jore9fl9eL7fL6cEWYvEUP/p4uuyacnbYDmRpqNVV/NntXiZZKVFVfN+oNOPN6Q3zvQ/vc/u+H0tDbvbwrDdUlS+Ail/i5OU6Zxu4P7fCf/21QZRKBe9edfHXP7tbdryqceWCeHJ9HY38+x+NAqV1Yr/9lYEd3rLdS5JxQuxh+S6Vn97xcP5kB6vxFLF45VkQq4lUIfHR1761yaT1BiV//NfXCgPf/GAk36VtORTnud5mNGplxZ8fd25+EWWnL8xKJLcsxdpopN6opaPFRK1ei8sbrrgfJ2aXef14mwzQn8HauA1HE7j9URQKNozdrY5bqBy7s74w331nFM9SlHgyzYw7iE6j4huv9uLyhEikMihVypIZqHlbEbdQOXYdLbU0mw0k06VvL+PJNL7lGMFIoqqXyGwVpzdcmLVYa9BQb9IyvxjmG6/28oP37xX2x1Ydq52QT3gHgvGyGah5tkY9ep2ayGoukZIBVqJJLr5/j9Hph7M3vvPmMJ+NeHD7I6QezK4uFk+mSaUznB1uxd5sBEWWOW9k25PTYuu1mPUc7Wvm0h0vAC8dsXPpjqfQ0CGRSnPzno/f+81jVX+cXb5wxe6p874wr53soLlBX/WfYbdzWE1o1KrK15RMlqvjPk70Wysuk9zOeqeVElX5ryuUCv7mvUnGZgIlM97KZq67Q9QaNHz5dBcfXnNh1Gu4NOatGGM7cR8qfomjVCp46YidTDa3SkGlVvL3nzq5MurBbjFycsBWMtaJJ9Pcn1tBucMrF8SzUauVTDgDnBywkU5nSKQydLXUoVIpmZgN8Mpzdlmm+hQkGSfEHpfvUplfPvfPv/t5xe/zBWLYGg14lqIP3jhuvo3qaUy4lisOfGcWVjDW5C5Vo9MBLGZ92UMy5N6Cbmoibp3lqScHbLx3xcX5E+0Vf24nZ2ftJcVxm8lkWQon+D/+042K35uP3bPPbV19mPVi1+kN87PLLoCSuE2mM2QyGZLpDIvLsUJB85eO2LlwY77wezc7bvPbul7svnNhqmQWbJ4vEOOFwZZ9OVC+OOIhnc3y5msHmfOFmPNG6HOYMdSoeOVYG+9dyR3fdqtpz3QCzSe8L47kal2u1ym1eKmh0xPixoSPkwM2ZtxBZtxBYvFUYSZcS5MBlydc8e95lqJ89aVObk36mV5Yv6N0PuEpdq/hA01ML+SWOGeyWZLpDGeGWwuz49ocJkady1WdyLp+f4kffnC/7Bp6esjOrCfEkd4mjvY07eqmFLtBvoZsJS5PmAaTtrSpw3KMgc7Gba93WpyoKnZ6yM57l2fLlq7+wbdz197814tnkN66t8hQTxP1Rh2LwVWcvjCOB/ecnag7W/J5HrzEOTlgKyTZofIM6LXjjHkZG+8Jhho1kViS1cTDsa1Wo8Sgk5TS05I9J8Q+kX/IbreacLrLH4bszUaMeg2//GInVyZyy4428ya/UT0NFPD99yYrLkOoM2q5ec9fmHXk9IS4Penn7LCdD6/nbvRb8RZ0vSUHq4lc3aNQLFn2AAtsy+ys/SS/L9+7OovFrK84g6fDZuLkIRt//bN7dNpNmz5AXS92f/fNYf7Pojpw+bh9/WQHiWSGn33uXLPEKVcUPx83W/X2/lGxWzwLNs9q1jPUvf+6n+VmNAT4+ss9ZYmnq2M+fvtL/eg0KgCyWfhf/v2Vqlo69CyKE94vDli5OOJh3Bmgt62eTDbL1PzKunGU3yeR1YczrTeaZdfSZMDli2BtMvD5qJfB7saK37cVyWmxvTosJk4fsbMciuPyhCuWF7g96afNYmKos/rqx427Vrg67l039rvsdSjISiJuG6yX5ILcff/KuI9MJsvHN+epNWj4/W+d3LHjkk9U5eNGp1ERX6ce56UxH/dcy7Q0GQgE45wcsFUswXFywMYfPbjnAE9dk26zOKwm/uDbJ/j5ZdcjV9isHWc49mkt2r0klcpg1Gv4RdHxz8fqG+e6pWbcU5JknBD7iFqtpM6grTgLosNWy9T8Cj/+dIau1jquTvhQKNi0WSCVEgTJdIZpd4j7C8GKN/YsCiKruQTCUE8Txho191wr+FdWyWShp62eg+31vHy0bVMHYOstOYCHdZRcnjC2RkPJA+XDOiZiMymVCm7fD9BuNVXu2tVo4O8+mKSrtQ61WsX//rfX+e9+/eimDVDXxq5SqeDsc618XvRmOC+eTBOMJOiy13Kkt7lQ+Dsfu96lGEcPWjDXajc9bvPb9qjYzf+v25+rf6jTqHj5WNuemPH1pDKZLMO95kKyv1g8mWbCGeCLz7ej02n5+4+nMNfp1l06tFtlMtmymajuQIw/fet2xe/Px0/+/+fFk+myOo+Qiy97s5Ero14sZj3/6Ew3bn/ksZaW7ZVlwfvN8Z4mLA01/OSz2XUbhFy/66PBqKa9uXrOpVlfmHgqXfGFJeTi/cVzdix1leuUic2TP/cHDzSVJLkgd61QKRV845UePrm1QL8j1/17JxOk+dnGF24uMDG7zOFuM97Aatl1TqlUkMlmsTYamPOGOdZnIUvl5f35F2gXbrkx6ZVl3wMwMh3Y1vtRp60W5zozoH2BGH2OBiacyyXjDJ1Ghcmglev5LldTo2HWU7lEz6wnTE2Nhmg0sUNbt3tJMk6IfSSVyhCOJTk5YCOeSOF90E21u7Wedz6eKjR4iMSSTM8HCYTjPD9gY7Dz2WbMVEoQKJWKXE0tX5jp+fK3ngAzC0ESqTRuf7Sk0LxvOYZJr2Wopwb/yir/9ocjmzplf6O3sRazntuTfl49buGlIRuf3M7NJskPBvfSQ3q1yB+Pn12a5eywnVQ6i8sbpt1mQq1U8PaFKV443FKI28EDTdxxBjYlmbw2dvNxuxxaZWadB7aFxQgLi5FCorY4dpdCcQ51NTA1H9z0uIX8vjJvGLvnnmtFp1UxMrXEoU4zLx7e33F70GHme+9OVvy3WW+Y4YNdeJeiDHY34gvE8K2ULh3aS/IPSi1mPQNd5oqz1/JxBJR16lYo4Ctnupj35c6BrtY6AH744X0ymWxhVtT5E+28MGgjkczVnakzann1aGshDu9M+fnFJWdVdxYUG+toMnKoy8zPP3NW/Pd7s8sc77Ns81ZtbGEpyl/+ZJw+R+XY72qto8Wso61JYnGr5JdiTjhXOH+ijb/62QQnB2yFZc5Ws56u1np+8P49fumUhv/pn5yqmgSPw2qiRqekv9PM4soqi8sPy65cHfdiadBzuNvMu5ceLl1NpNJo1aqKv8+3nCvBMeEMcKS3uVB3Figsa/1sxE0wkti28edG4+N2qwnPUgWNL+IAACAASURBVJShnia6W+twecL0dZiBLGSzVXOcxNNJpdIsLFZebrywGCGVknpxT0OScULsM88ftvEn37uJrVFPc0PuJg8Qi6c4M9xaNlX+8xEP33lzmKFnSMhVunmfHbbzzsdTvHTEToettuLA12rWc+vBQx88LDSfexD05zoePqi/tZlT9p3eMG2WyrOwarS5y+bpQRsdFhO/cb5ylyyxufJLQCZmlzHWaADIpLN8eHOhYtzqNCp0rx8km3225dZrY/fssJ23P7qPQqngRL+1Yty2W01cGfOWfK04dtfW3drMuJ1wLWM0aDaM3bPDdhxWE7/2as++j1ulUsHVMT9tVmPlY2kx8bc/n2Cwu6lwTPO10/bKctX1rF12BQ/jKP81Y01pp+7iYv3mOh3Xxr0M91pK4iw/e7TVamTBF2VxMYK5qCPi2mXhbn+E0ekA/+wfDezL2Zu7mb3RQEdL5ft7h83Ef3p3nC+f6eH5vuYd2LpSt2YC3Jz0E4om153h+VxvsyTitlBxI6+hA02MOwPE4qlCHTJznY5bk36ygEalZGwmsNObXEKpVJBKK/jwWuVlfNfGfQQjyZK4SqbS9LQ1rHv/aazTUlOj4Z0L02QyWU4P5VZfrB3zvH/VtW33pPXuDQqFgsm5XI2//EuXQCiOuVbHi4e3r6GG2BpKpYJOe+XreVdrndR7fUqSjBNinxnqNPOdN4e5Ou4jGk9h1GvwBWLoNKp1l5NcuuNhuLvxmR7ci2/eNTo1WeCrZ7qZml/B1miovHS2pRbdg4L4+b9dPPU9slpak2IzuvHdnglwedTDlXEfb5w7wLwvXJiF1dVSx+JytGzAs98TGtuh0GF1xM1SOIHTHWR+MbJh3E7OrRCKxp95cJqPXYVSQSabW179jXO9KJVUjNuW5vJuYlAau8X1VDYjbp3eML+46uLSqJcTh6xls5MMNRrSqXRJ7Erc5oSjcfocZq6O+cqOZZ1Ry4tDrXiXIpt+ral2xU0e8rN/Bw80cmdqiS57XWE2cLvVxP25IKl0pmT/5JdBV6pR6PLmrqvFs0cv3Jjnd98c5rMHCb3ioua+QIyfXnLxS6fa9+SMxL2qp6WWiWZjxetkrUFLm62OVDrNyEzgmWfgP4sr9/xoNYpCA5KSpgCBGPZmI+eOtnK4o/pq3O0lxY28kqkMtUVLG4uvKfl7qcNmqpr7mNMb5tpdL8FIHKBQDy5/j5+aD5JMZXB5czGWv74lU7ku3pXOkTqjlvnFGApFjDfOdvO99+6RTmdKrrV523lPKlmS61qmw2oCFIVZe/ntefjyHF48bJMX17ucQqGgVl+51JGpRoNCIcm4pyHJOCH2oaFOM0OdZlz+KP/qL6/Q5jCRSKVL6v8Um/GE+MnlWRTkGhQ8zc2++MGuvlZHOJrgnY+nON5vxReI8vqpDsIPlhlazHpqtGp++OF9NCplSVem4iVSa2tfwcNufE9yw89//7hrhU9u5jphHj1o4e2P7gNgrtNxZdTLlVHvnp8NU81yda16cS1G+Ff/8eoj49blDdPSZODSuBeb2fDUxy0fu/P+KD/+dIZzz9nxLkWIxVOcP9FOdDXF9MLDuH3rg8myuIWNY/dp4hZysTvrC/HRrQUiqymO91srzk76vd86JkmMCjKZLH2OBv7ug8mKS6EWFsPoNCqaG/Sbcq3ZbdbWkoPc/aPkcyvg6oSXaKzyEpVK1+n1Zo9euLnASjhOS5OBvo6GQqdWyCXsLo96+Ob5nqe+D4nt57Ca+NVXe5iaD7Lgj2Bt0KPTqvnp504ymSxXRr38zlcHuDLp50RP07Zv3437ftKZNDfurtBmNeH0hApNAfLXUJ1WJYm4Leb0hSs28qrU/dvWqGdsJoDFrK+Ka3B+Nm9TfQ3Dvc0M9TThC8RKOqznxilZLOZcreHixib5xFxx+ZgarRr/SoyR+37iyTS3J/38+usH8S/HuL9OaZftvCc5rCZ++wsHUauV/OGfXeaeq7xWbfG1/+dXXLj9UXra6qTswC6l0SgwGtS8MGgjspobK1nMeow1aowGNRqNgljl4bjYgCTjhNjH2psMfO3lA6wmcoXK2xymitOP7U1GpudD1Ju0fHRznnPDrWUPaI8j/2D3w4+nCEYSHO+3FgYjOo2KF4ZaSKRyg47CDItMafe+4iVS7TYTV8d9JX/jSbrx5WuT3Jtb4VBnI421OlLpDMuhOA21FC2TevgQ+emdvT0bZjdobzY+Vty220zcuLtIc4OebnuudtXTxG3+5y6NeWhtNtLUYOCdC1OFuD3WZ9kwbvPfVxy7xYk5ePIukmtj12bWMz0fLInb4pkEn454cLwqcVuJZylWcSkUgFGv5eObC7xxrpvB7ia8gVjhOO2nzp+ZTLbkvCn53FlobTIRXk09VrmB/IyPSsXIFxYjHOltZmx6iVS6clHzcecyb1+Y4vd+85hci3eBwU4zCqWCYCROU0MN734+W3Jc48k0t+/76bbXceXuIicObt+S1TszAZLpLP/f26PEk2nefO1g2QzYQDDOcO/2Jwn3m4u3K3cBj6+ZWavTqOi01zPQ3UgguLrj12ClUsGlsdw4trejgfeulC9RPT1kJ5FModepaWrQM+EMlMzoL07+njvaymcjbhLJTK6+c1EsOt0hPIEoLU1GWpqMZbPvd+KelMlk6Wmrq5iMKx7nON0hEqk0P/nMue1dYMXmyGTAG4jx4fWHY6X8uPfV421kpJnqU5FknBD7XG9rPR/dnOfMcCuGGnVJQgFyAx+1SlkYKLxxrpvZxTCf3nEzOv3kxbWVSgUuX+RBwkuHVqOkz9FAMp1mej5YkvjK8wVivHy0lfraGn7w/r2H2/Wgblf+rWmlbnzrcXrD/Mu/vMrxfisNJh237i1iMesZ7m1i1hNmwlm5I+XYzN6fDbMbPE7cKsjVL5mcW+H6hI/f+erAM8Xt7fsBjvY1M+cNl8Tt/GJk3bgdPNCEUkGh4HR+27pb6wszg54kbqFy7LY2Gznc3ciNu4sVf0bitjKlUlHyEFGcwPQGYugiCfocDfgCq7i8ocIsjSc9ZrtZPvFbqZlCcX23M8OtFZev9HeZUamULCxGCm/R/SuVX59bzXp+/rkz17Hau37HPqNes+eXCe8lhzsaqDdq+Xc/HKmYhHV5wqRSGVoaDShVCo4d2Prk183pJVbjaaYXHs4yeuvDSb7+cs/D8hRWE32dZo737HxNu71soy7g3kCML73YyfUJX2HG2A/ev4dGpeQ7bw5v85Y+lLsuehibCdBmNfGN8z0kEw+zEflkRSAYJ55I0dPewFsfTJJMZ/jy6S5u3Su/V+c6eC9zZriVUDRZsuwTeHBNzDI5t0wkliyZNbjd96Ti+8KZ4ZZ169QWvzzvsNby/ffv7YsyD3uRUglTc7nrZfFYCeD+XBClcqe2bHeTZJwQ+5zDauLccCsTrhWcnhBffqmLxeUYTneoMPDJDwjydS+mF1Y4c6QVtQpGpwN8cmvhsWcpZDJZWhr1NNXraK43oNUomfPm6lql67MVZ1a0NBv4dMTNkZ5muu112BoNqFUKLtxc4MXBFnrbG+hpq3+iblIXR9wlM/OAQqe/b5zvJRCKV9yW/TQbpppVilvfcoxZT4h2qwlFhfolN+8uYm00EI7FmV+M8K+/f4P/9pvPPXbcHups4M7UEqcGbCiVPDJurWY93kAUz1IMrUZVErsLi2F62urpttcVGio8rvVi97UT7VjMeonbJ6BWKznQVl+xM25Xax0qpYJJ1womg5YXBluYWljhxcEWtJr9Mepc20xhbcORiyMPZ7OsrbPV29FAa7OBu65cMvwLzzv48JqLUDS5buJO9+DhLRJL4uiqXCg6P9tiK5dkSeJ687U1Gmi3VZ7F3GmvI5lMc/3uIsuRBNksHN/CJauXJxZxL0Vw+SK4FyOcGLCiVCj45NYC3/vFXWoNGp4/3MKcL0xzne7Rv1A8k0d1sA9HkwBls89H7i89U3Oxp3V7JsCffO8myXSGl47YsZj1zPsizPsiDzqJ1jOzsIJnKbdUtblBz1IwVtj2n3/uLOlEXazdamI1nmZybhmNSkk8k/sZpVLBiQErTncIXyBGm8OEvdnIwY4GOm21TzyOeBZr7wuz3hBnh+1oNWomZgOFpej5MVj+5flbH+SS3d/7xd2y67dcc3cHe3PlZletzcYd2Jq9QZJxQojC8lHPcow///Eo9QYdzQ36stlGSqUCS4MelVLB9XuLtFlM1Bu1xBIp5v3Rxx4IDB5oYiWS4M/+frQkmfDy0coPaBqVilA0icsbpt6kxbMUJbKaJJPJ4vKGee1EOy8P2x/78yqVCpbDCRRQ9pY+nkwz5w0zdKCp4myr/TIbZjcojtv/5+07LIdXGTrQjMsbLnT0gqJCyekM1+/66O9spM6gpdaoYW4xQldL7WMNAp872EyrxcR//Mn4Y8WtTqvG+aAg+NrY1apV1Ju0qFWKJxpAq9VKnJ4whhp1Wey+f22Ob395QOL2CaRSGTpslTsnk83y3pU5IHecr455+fXXD7ISSfCfP7qPVqPit18/uFObvi2Kk215+VkNXS21JbNZipdaHelp4ttf7COTyaJWKbk+7uMfLk5z7rk2NGoFMwsh3jjXzfxiBJcnTGdLLUa9hp9fnuXMcCuriRSNdTUbzrZ40gTz4zzsbTQLUDy753otXBn1VpjFnOXTETcAgdAq4WgSlUrBc12Nm74NV+4tcvv+Ylk9wuL6ZKFoktVkil96wcFhx841lthPTg+t37353twyqUx504KdqNs56wvz0fW5wmxgpQJ+9PF02UvdkwM2nJ5QIbZeP9VR+B3xZHrdjr1d9jpmvSG0alVJzbmzw/bC39FpVCRSuTId3/7KAP/+R6OcfYIx8LNae1/IZLJ8eH2er77UlSvbkUyhUCoLLyDrjFr8KzFODthYWAxTa9Aw2J07t2d9YT65Ldfc3eK5g81cnyhvdjW8jeUF9hpJxgkhCmwNen7ztT4ujXnxrayWDXxOD9lL6mG4vGHODttJZbL8+NMZJudWOPecnS7bxsmNSCzJrTUJA4ALNxf42ssHmHWH8AZidNhqAQpv1/IzIoZ6mgpLmCxmPR/dnOfVo60b/s38gC3/sLXgj9DSZOTMcGtZ3Y1pd5B4MsU3z/cw643gdIc41Gl+opl3YvvYGvR860v9XBzxMDm3QkuTsSQZV1woGXK1S/Q6NV89083VCR8/+dzJQGcjpwdtGybm/MtRxp0rFeP2G6/2ML0QxLtUHrdQHrtDPblk70okseHDxNq4HZtZxtFiwlijKfu5TCbL+1dcubj1hJlxh+jraNjWN+a70ae33HztlQO5Dp+eMFazno6WWn744f2S74sn00zOrzDY1cgBez1T80Em3SF6Wmp3aMu31kZLx8adAYCKs1niyTRN9fpCbHbZanlxyEZTvZ45X4Sp+Qid9lq8gRhada4W6PW7PvocZl443FJS1PzVY21oNSruupZpMOkKD6ZPWpLgcRJsj5oFKJ7dqb5m+JVBbtz14fLkloG2Woz84P1J1GolX3+5hzlfiDlvhEt3PMRiKeqMmk1LiI3OLjO/GCG6WrkDd7yoPu2xPuu2LJcVOQ6LiW+e72HcuVwoDJ8/308N2DDpNcz7IiU/sxMzvmd9ETxLMXQaFel0htVE5c6mazumL4fiJcm3/EzibDb3UjnfNOjvPpgkFk8BD5PEv/ZaL7PeMMl0pvCyIj87bnF5lW+c72bCtbwt16mN7guj0wF+5eVuro55mV4I0dJsRK3KrVJw2Gq5P7/C84dbeP2Ug2AkwT//7udYGnLHedYbkmvuLjAy5S9pdpU/T+9M+fni8+07vXm7kiTjhBAl8rONnL4wN4refug0KuKJ0gHs6SF72dvlCzfmeePcARprdXRYjbQ1lU5dVioVGGq0uDzl9YDyndUgS3ODgVqDmveuzJHJZKk1aOi21zG9sFKYGZF/a9pcX75kLJ+ocPmjfHxznrGZZXra60mlch37MpksTnflbl3tFhMHWutYXI7xhRNtdD4iuSh2XnHXx9vTSyWNQVYT5Q9ex/utvP3R/ZIE3ftXXfzWF/tZXIlyst9a0n1UqVRQZ6rB5Zkr+9uZTJbPRzwc67eQyUCdQc0vHsStTqPC1mig3qgFcg1I8v8bT6axN5VP7VcqFTi9YT6+5WZsJlAWtzPu4Lpd5qyNerJZBY11Or78YictZv2z7dg9LpPJcqCtDqNejccfJZFK4w1ESxo1FHN5cgm7s8+1MrWwwsc3F4jHUxzegaVSW22jpWP5h+DTg5Vns5weepgoc1hNnDhk40++d7NsJtJXz3Tx/tXckheTXkskliCeTJckZu65VnC01HK4u5FPb83zzVd7Geo20/Hg/FSrlaRSlStHP0mCbaNZgPJguHlOHWxGr1PxfnwOz1IUlzdMJpPlG6/2ll6TPSGujHr5jV86SDyVeabE2KhrGd/yKpOuZSKxFIvLlWsWeh/Up+3pMG/pMllRWV9HA29fmMKo1xRmeOs0Ksy1OlYicV4+2lq4D+7EjO/R2WX+5ucT9DnMJFJpMtnsut3c13aRdnnD2BoNhSV+mUyWy6Mezgzb6XM08NmImywUEnF58WSaWDyNyxMuvFgECsXzb0/6+fZXDvHeFSfeQCz38m0LO6dvdF94caiFf/P9Ww9f2PtyL+yHe5uZWQjR72iku7Wev/rZOIFgHKBsHC7X3Oo26wkXjllxAwfHHn0puR0kGSeEqMhhMfH73zrBhZsLTMwu0+doKGlqsF6SI55MM+8Lc23cS0uTgYHuJhoMGg53mlEqFQDcmVosqx2Tv7D3tDdwddyDxWzg7uwKR3qaGOhqJJ3NcnXMy6HOJjpbakmmrdRo1DjdYc4dbS38HqcvzGd33Jhr9SRSad7+aKrkQWxtEmPtG8xcpz8dXzzVUXjAk0Tc7pHJZDnsMPOdN4f58NocmSxlg+WNYnd0egmdVsUvrrjo7WjIJfkeDGx9gSgdtvI6VjrNg+UkOhU6jZKJ2RW+9IKDRCpDIpVB8eD7/vGX+rnrCvDCoI1Lo14ctlr6OhoK8eX0hXF6wgSjiceK20pd5l451sZgp9SHe1xKpYKD7WYujXpoatAzObJSOJ6VjvOR3mY+ujGHyxvGuxTDG4jS0mSgqb4GW8PeS3yum2x78BDc1VLLH3z7BJ/c9jDuDNDbVo+1Uc+f/2icPkd9YRbajbuLFc83XyBWiOG7rgDqBxWgv/5yT1li5tIdD7/1xX7c/iif3nHjazdzfcKH0x3C0VLL84dtZfWjHjfB9qhZgFLPaHMNOczEVnPX29VkikBolXlfuOKxmnStcOpwC3ecAWq0Gg60PP5Dum9lFfdKjPHpAO9emi3c49er19Vpr2PgQBNHuzd/eaxYn9Mb5t78CoHwKmeGW/Et52bNWs252mM//dxZSMB95aUu9Fp1SUJ+u4zP5q4R9iYj5lodmWyWTu3GtS3zutvqqDdo6WqtY3o+WJhRNDYTQK1SYtRr1k3sjdz3c7CjgWAkXjIr6Vif5UF31mUCwVV+fmmWj67P8ztfGaC1ybBlCa1K94Vag4a5NedwpRf2V8a8vHGum4XFaGFVytpxuFxzq1dnSy3OSjV27XU7sDV7gyTjhBDrclhN/PYXDuIOxPjsjpuWosKd5jrdugMHlzdMIpXm45sLXB718quv9LAYjOP2R+mwGkChoM6gRadRkUxnSop+J5IpvvpSNwv+CPZmA23NJm5OLjLnjdBmNWJvNvLDj+7zW1/sY3xmmcb6GuYXI7z1yTShcJxkKoOt0cjbF+7T5zA/cvkAPOx6qVDkZy5l151pIXaHoU4z9QYNozPLaNTKksHyRrG7sBghkUoTCMZpbtAzPR+ksV5POpMhmUxzpLepZBldPnZvT/qxmPUc67OgngnQ2KAjGksz6w0VYjccSzLY1YTLF+b8yXbGpwNMu4P87GoGg05NKJbkHz6Zfuy49QZivHqijdGpABaznn6HmYGi5J54tEwmS5Ys9SYttUYtNyZUZfV8io/zrXuLHDuYewByukP0Ocyk0hm++84o7VYTrzzXuqfe6DusuZcyF0dyybZ+h7mQiPub9+6VLP185Wgrf/QfLhOKJtFpVMQSST65tcD/+DsnuTtbOdE14w4VZov4l1c51mdBo1aum5iZcAYYdy5x/oSDf/fW7bJk3XfeHGao6MXP4spqyYuWfHfDtQ97jzMLUGyuU33NqFQKwtEEiUSmYvdcpVJBrUHLlTEPMw+WvXXZa2ltNnJ6sAWA+IOZRAZDbvZxNpvl5j0/Tm+YK+MerGZD4YEfNq7X9dzBZknEbTN3IMb47DI/eH+SF4fshGMJJpwBzgzbuTMVwLMUJZPJolQqODlgIxCKc8vjJxiJb1t9sZGZANfvLaJRKTnS28zNyUU6rLnZuv6VWMVYKu4kqtOoMNZoiKymMOhUHD3YTHg1xb3ZZXo7Gshmc7Pr10sSN9Tq6Gmrw+kJ894VV8m4+da9RTpaanntZAdvX8i9xLs24SXU3gCwJftn7X2ht60eQ42a60Xd3Dd66Tk1H2TCGeDssJ0Pr+deMBbPJJRrbvWyNRp4+WgrkdXcM9tQTxPGGjVWWYXx1KouGdff368E/i/gOSAO/Bfj4+P3dnarhNjfWsx6vnamu2TpaiAYX3fgUPxGMJ5M4/KF0apV3Jr00VjnwNKg5/58kK+c6QLKi99eHvXytVcOUGvQ8GfvlDZ50Gl8vHHuAHdnl1EqYHE5hkIByVSaZrOepZU4nkB0w7eMa5cPFHe9BPj9b53Y1P0ndkaHxUSHJbfkurjgbCAY57k+y4axG0+mmfNFMNdqcXlCjM4s8TtfGeDahI+vv9LDrCdEnVFbUkMxX7j5V1/tgaySH354t+Tfrmp8/NaX+glFU0zNr2Ax68lk4K0P7vPGuQO4/U8Wtxaznk9uLmDUa5hwBnjjpa4t2It7X7vFSDKdwekO8cKgjchqikAwVmgwUGcoP846jYqTAzY+vjnP7Uk/rxxv46efOfnk5sKeq3dTvAQ8X7+w0tLPX321h8hqqlDTyL+8yukjdj4b9Za8yClmbzayuBwrPGjnEqO6iokZyL3o6WypWzdZd3Xcx93ZJZIpBeFYovCwsLa7YaWHvUfNAhSb73hPE9fv+3l+wMrN+/6yGFlbp9bpCXFjwscLgzZiqylGpv04rHVMu4O4vGE6bCY6bQ/+2xOmzWqkp62edy/NlvzefL2uVDrDgj9Cl72OoQNNsjR1G+VrOY7OBGizGHlh0EZ0NYFep+bMcCtLodwyxnwTA4UCLt3xlF13tvp6e23Sz//91m1OHbZx4c58SWmLy6MeTh22lcxWa7eZaG02MucN47DVFmb3rUTimE06fCur6NRKPh/1Ym3Qc7jLzPRCLu43alrz2R0PRr2m0DhibTd1nUbFS0fsXLgxjycQY6i3iev3fFu2b4rvC//p/Xv89NIsJ/otj/XC3heIYdRrSKWzvHKsnY9uzBXGXnLNrW7haKpi85vzJzoe8ZNiPVWXjAO+DtSMj4+f7u/vfxH4Y+BrO7xNQgjWLF11LdPdWlexc2PxG0HIDVoOdjRw+kgrLm8Yk17NkZ4mfnxxBnOtruJDlXsxipvK3U7nfWGWgqssh3Oz7fI3g6+c6eLKmIczw62PnSzUaVT0Ocwsrqzy6vF2adKwB+Xj9uKIh7GZJdqsuZqANyp0hCqO3YXFCNlsllQ6y/OHW7g96UepUNJYr+PGXV/F7m7xZJoFf4RspnLsTswE8CxFSrqsnRywcd+1TEuT4Ynitt9hxr+yWpitJHH7dKz1ei5PeImuJklnQKNS0tnVyLVxH/YmI0uh8mY2a2cqRmLJwv+/cHOB3/7C3uuymk9erbf0c2o+yLnn2vj09kLhgfFHH08D8JUzXRUfMlstRmq0aoYPNpd0ClzvHGi3mvAsRVlMrVbcxvtzK7x+qqOs4/Ha7oa3J/30tdeXnDPrzQKU82prHT3QxM1JP8M9TSWdVivVqYVcrEVWU9y4u8jggSb+4sdjhe/psNby/ffulR37o2tevuQ7/740bMdQk5updFSaNWybtQn9fA2q8yfaCceSFV9+fOVM17bXdJz1hbk67gUgk81W/PuxeKpwXzbX6ciks1wb9wFwpLeZn3/uBODcsVYMNRoswO37S7xytI2DjgZi8QThWIKTAzbC0QRfPdvNzEKwrInFayfamZhd3nDGWTabW8rrsNUyMx/C2mjYluWet+8HONFvRaWkcJ1/nLGMS5176XJ22I5Br+XV43q55la5YDReMfZC0fgObdHuV43JuLPAjwHGx8c/7e/vP7nD2yOEKJJfuppfBjTU3ciFG7m6cu1WEwqFoqSLJOQeoFRKBb5AlEQqw725FSxmA4e7G7lRNK292LQ7SHN95WnPLm+YU4et/P2F6cLXckm6COZaHcFIAmDdpSiVkhhfPNku0+L3sIdvcXvJZLKo1UqsZgMfXZ/Ds1Q66M1rt5nIpLMYdCpCkQSpdIbG+hruOgMc7GhYN3an5jeO3eYGPZBbDpdP6iyH4lgbDYDE7U440tXE9bS/kDzyLUfp6zTj8cfWLfZePFNx1vOwOPeEa3nP1rvZqLbawmKEPkdDxcYpvkCsMOsw/5BprFHjC8S4dMfDkZ6mx1pG2GoxcWXMy/FDlWe2Ws16Jl3lHY/XJk/Xe4hfOwtQbI/hnibGZpf5Z18b5PpErtPq4e5G7kwtVfx+XyBGc4OehaVISfKuUpIiFE1iazRUjKcOay1fPNkhD//bbL2EfjSeYjW+Xi3iSNkxhK2t6TjmXC5c2ys1HYPS+4DbH0WrVjHU24SlXs8HV+c42mehzqjl3cuzvHa8nd/+wkHefKWnsL2LkQQqpYo/f2cUgJcNWiacgbImFslUlpYmI4kHtTYrmX3QobjLXsu92RU8/uiWX8cyaMB+KgAAIABJREFUmSxDB8y4l2Jcm/CVlJ151Av7fFKuu7WO3zzfI9fcXWC982B2ndns4tGqMRlXB6wU/Xe6v79fPT4+nlrvB4QQ2y9/03RYHtaVG5le4nu/uFdyQ9VpVLRbTRj1Gm7cXWRxOYZ/eZXR6SWO9FiwmPUVH6pam01o1Iqyr0MuubccSpQNyhYWI4ACly83eMovRckPDHra6ws1ndYmMWQQsD/kj3MqlSnUlZtbjPJXPxsnFE0Wvk+nUaFWKUGZpdaoY2ExwuJyjJGpJb78UieWej3zi5F1Y1erKe/wC7kE3617pUk8XyBGn6OBcWegYtx2tdZx8pCVoU6zxO0W6bCYCEaTvHGum1lPmIXFCC2NRgIr8XWvUcUzFe3NRhYWc4NRh23vdhXbqLZaZ0sdU/O5r69dovTJrVxMa1RKmhv0GGs0pDNZLt5eeFAmoPThsmQZ4WKEdquJVouJtz6cRKVQ0NvWwNWx8pmt5roaxmcCFbd97TLvjR7i5bzafoc6cjWulAoFHn+UcDS54bmn06oYn354rDdaFnf5jpff/KWDjNxfwhuIcbCjgaHeJp7rkvpw222jhH44lmRxg3quxedv3qEtalikVCqYmg/SajEy7wvT0mx65H0Aci8EbGY9H92YZzWZQgF8eG0OjUrJ2WE7UHp9GehqotmopbXJwKcjHiacy7xx9gDeQIwJZwB7sxG1SslHN+b44vMORqeStDkqb4u92chAVyNufzjXQCqd2LDb9GY5c6SVP33rdmHGab4+548uzvDN8724vGGmF4IlLz2Lk3JT80F5AbJLrG2+V/i6vNB4atWYjAsCxSNZ5UaJOLPZgFqt2pIN+af/6y+e+Gfe/uPtXVFrsVTXoP+N3/vhE/9M8T6rts+zVbYqbndy/1kstRzps+Kw1/LxjQWm54O0W030ORqIxlP8zbt3GT7QVBhca9Rq/uNPx/naywcqvjmzNxtQKZUV32Yf7m7ku39/p2wb2m0mrox6eWGwhc6WWibnV5j1hOhureMLpxycPdq2LftiI7s9xrcidnc6bo8DPR0N/PTTGe66lmltMtJmNaFUgtsf5d3LsxztbS7Erscf46Nrc3z5pe51Y1e9Tuy2W018crN05qjVrCeZytJmMdHTVsf4zHIhbl8attNhq2Wga+eXUO3m2H2cuH3VUsvYjB//yjSJVJq3Ppzk184fZGxmacMC3fnlltcnfOg0Kg601dHUtLMD0608Vq+dclSsraZQgq3JwOTcStkSpeKHtC+92EkomuDD63MAFZcz5b//xaEWXj7WxvR8kM9H3DzX20yXvY6FpQhvnOtmar50OdeFG/Mc7Wt+rIfmw92NO36cHsdWjnMfx3af91+y1GKo0TA1t4JnqXw2VK4Yfu7xJR9vUDmO8lotRlzeCOPOAP/l14dQAK+ccGzL51lrN19Hn8RGcTt4oLFiQt+k16DXqit3um2p4/pdb8nXdBoV5092bLhPn2V/Wxv1aNQqRu77OTFge6xGDYcPNBJPZph1517OHO2r4fVTHbxyvJ3D3ZXv4xZLLRZLLScO20u+/tc/HWPWG+bDa7lr5QfX5njjXDeZTLbi2KPDZmLWEyKeSKNVK9HXaDCbjU/9+Yu371H/3udoKBy3eDJdSJpOu4Po1CpeO9HO/YUg0/NBjvVZSlYidLbUbsp2boZHXW/3y/m7nsPdjSXlBODhc5lOp8Ni0e3g1u28p4mPakzGfQy8Afztg5pxtzb65kAgutE/bzufr/wGslUsltpt/XtbJf8ZqunzbPXFdivitlr238GWOg621KFWK1kMrvLBtTmu3/VzvM+Cw1aLy5ur/5Gf+TDpWubXXu9lZiHMjDtIu82EWqnAF8hNeX/j3AHmfWFc3tz0+8MHGglGEmhUSuKZ0puBUpGbSedoMTHQaeb80Va0WhWJxIOlUju8f7b6GG3HIGGzY7da4tZi0vKPHyy/VioVzPsjfHRjAac7zMlD1rLYfemInXgyxekjdtLp7GPF7lBPE3/5k/GSv6vTqOhqreedj6c4f6Id71KMXznbRWuTkUwmW3hTvNP7aCuPUzXF7aHOJmYXQnxyM1f37M70Ekd6mrE2Ggoz5rpa62iur+HquI8Th6wYa9SsxlO8MNTCgdZ6umymHT1eW36dMWnLaqsNHmjk3/zgFsf7rYUH1kpLTSH3wN1hMxX28UbLUrVqJX/x47HCTIsJZ4CBrkZ+fsnJLz3fWXE5V5ulFp1m43qQOo2K5w9Zn3k/VVPsboWduj4faqvjUFsdd5zLtDQbWfBFmHGHsDcbabUY8QViXBnz8htf6Cs8GG4UR4c6zUwvBPlnbwwy6DADO3NNrZr73Q7H7fOHrLx7abbsODlstTjdwYrH0Nak55jSSiSWxBeI0WEz8cJgCxaTdt19+qz7+/hBC+9dc/Hl012kMxleGLSRymRxecJYzPpCYxiHrZbutjqUCkUhmXhiwMrJQ1aO9zZveB/faBsPttUz6w0X9kcsnnqwXFfJ+RPtLC7H8BYt+1cpFTQ11OBejKBVKjnW17wp17jH+R1nj9j56Pp82XFTKxV8cmuB0ZklDj+YiVqcSNRpVJw6bHvs7dzJ57NqOX93kk6l4Le+2M/EbACXJ0y7zURfhxmdSrHv981G8bFR3Cqy2eqaElrUTXUYUAD/ZHx8fGy97/f5Qo/1AZ5mltvT+O7/8Nq2/B2ozovC0+zn/D6rps9jsdRWXh+5SR43bp9ENe2/tfLTz92BGKPOJaKraVzeMAv+CAda67E3GzDX6ojF09ydXcak1xCOJTDptQSjCQLBVY71WbE26bkz6WfCucKJASuLyzGmF0I4bCaMBi1ks7w4aMNhqc7ZDtuQjNvSuIXNj91qjluoHLvepSgz7hBdrbUM9zQzMrWEpSHXkbdGqyYUTVBr0BKKJvAHVzl5yIZKCR9dX+D4IQsef5QZT4iuljpqjRrS6SwvHrbR1VJbtcs0tjgZVzVxm/+cVyf9XJ/wMecN88IRK2aTnrnFMO7FKDU6NQNdjVwf82EyamhqqMHaoCeZSmNvNO54/antPKeKlxY5vWE+veMBhYJwNMGcN8LpIy14l6Lcm1vJ1Tocenh9HpkJcGnMy/RCEJtZT6e9nqn5FXyBGNZGPaeH7CwFV7nnWmHBH6G3vZ6WRiOf3fbkzqOlCCaDlnA0yYw7xKHOXFJwdHqJLLltmPWEC1+/M7XE2MzmNmaoptjdCtVyfa6pUXN7OsCdqSVu3VvE1mTgkMPM3bkAHZY6ZtxBZtd2U/WG6bCaONLbRLe9Hkvtzs/YqJb9WQ1xm+um+jCh39/ZwPRCkDqTlmgsxZwvkluibjOhVilpsxj5+OYCHdZaBrsbaWs20PGIsd5m7G+nN8zduRUymSwKpQL3YoTmBj1uf5Rpd5CetgZsjXq8S7k6o6QzZIE2i5H25kdfYx61jU5vmLHZZaYXQiws5mK8u7WOeDLDnDdCLJ6iwaSj016LQpElFE2iVCpobzYx2Gl+ps/+ONu3dluLG2XVGXTUGTUsrsSYdK3QYTPhKDo/O221nDpsY+gJtnMnn8+q5fzdSXdmAoTjSe7PBR88qyU50FaHSafh8CbE2272iGTcunFbdcm4J1Vtybin8bQJvCe9KFTrPpBk3Oaopv33KPnmD5BbjpR/oFMqFaym0gRjSRKJJLX6Gkx6NUa9lkwmw+pqqjBzKT9rqPhnqzWRkSfJuHK7KW6hNHbhYfzqdGqWQhEUSjUz8ys0mQ1YzDUYNBoikUQhblOpTOF37Ja4hf2XjMvTanPLVVKZDPHVJNFUlsByHEerCVNN7rqUyWRJpTJVcxx3+pyqdE3eKM7VaiVTC0E+ue3h/vwKRw9aODVoo9moLfwsUPa7NjqP1rsvbPb5Vk2xuxV2OpYqMRi0PJgEz3Iozs17i0wvBDnWb6G9WU99rQGFQoFKBZFIsmrOS6ie/VlNcbv2nMxfD0Znlpl2B2mqq+HUIWuhsQo8fk3Hzdzf+b+tVisJROLcvLuIdznXUOlwtxlllsL9/Uli7nG3MT+GyMv/DZ1OTTb7cBZ9/n60WZ5mH+b3QXG9urVfe9padpKM23m3ZwJ0t2mwNzaysLTE1FzyiRKqe9XTJuOqcZmqeAzVmlh7Gs8ym07sTmsHKsWDCK1SSbNRh7pej9lsxOcLEY0mSr63UgH7ahpwi71rvWLvsVgSvTqXPDh7zIHPFyKbyBJJJArfUylWJW6rW36JO4BGrcasVVBfo4EMJdcl8dCTxnkqlaHDYuI3zj/sYlo8qN3ofrHe71/vviDn2+5XfN5plApO9Fn45TMHCvESiyXX+1FRhdaek/nrQYelvKvxTp6/+b+dSKQxatScPtzy8MVwMkNmzfdtxd+v9LurMd6LG2Wt97Wtbiohtk4+8abT6TCqTQx17vAG7XKSjKsCeymxJsRmkRu1EKLaSDJna8n+FULkVfv1oNq3TwhR/ZQ7vQFCCCGEEEIIIYQQQuwXkowTQgghhBBCCCGEEGKbSDJOCCGEEEIIIYQQQohtIjXjxK4kTR+EEEIIIYQQQgixGymyWSk+KYQQQgghhBBCCCHEdpBlqkIIIYQQQgghhBBCbBNJxgkhhBBCCCGEEEIIsU0kGSeEEEIIIYQQQgghxDaRZJwQQgghhBBCCCGEENtEknFCCCGEEEIIIYQQQmwTScYJIYQQQgghhBBCCLFNJBknhBBCCCGEEEIIIcQ2kWScEEIIIYQQQgghhBDbRJJxQgghhBBCCCGEEEJsE0nGCSGEEEIIIYQQQgixTSQZJ4QQQgghhBBCCCHENpFknBBCCCGEEEIIIYQQ20SScUIIIYQQQgghhBBCbBNJxgkhhBBCCCGEEEIIsU0kGSeEEEIIIYQQQgghxDaRZJwQQgghhBBCCCGEENtEknFCCCGEEEIIIYQQQmwTScYJIYQQQgghhBBCCLFNJBknhBBCCCGEEEIIIcQ2Ue/0Bjwrny+UfZzvM5sNBALRrd6cbbXXPlM1fR6LpVaxlb//ceP2SVTT/tsse+0zbfXn2eq4hc2P3b12jEE+05OqprjdC8dOPsP2qabY3Qq75TjIdj6ZvR63edWyvzdS7dtYbdu3k89n1bYvdprsj1Ib7Y+N4nbfzIxTq1U7vQmbbq99pr32ebbbXtx/e+0z7bXPsxn24j6Rz7R77YXPKZ9BbJbdchxkO0Ulu2F/V/s2Vvv2bSfZF6Vkf5R62v2xb5JxQgghhBBCCCGEEELsNEnGCSGEEEIIIYQQQgixTSQZJ4QQQgghhBBCCCHENpFknBBCCCGEEEIIIYQQ20SScfuYUrnlzZSEEELsU3KPqV5ybISoHnI+it1CYlWIzaXe6Q0Q28/pDXNxxM3YzDKHOhs4PdiCw2ra6c0SQgixB8g9pnrJsRGiesj5KHYLiVWRV4gF5zKHHBILz0qScfuM0xvmj/7DFeLJNAAz7iDvX53j9791Qk4kIYQQz0TuMdVLjo0Q1UPOR7FbSKyKvLJYWJBYeFayTHWfuTjiLpxAefFkmosjnh3aIiGEEHuF3GOqlxwbIaqHnI9it5BYFXkSC5tPknH7iFKpYGxmueK/jTsDUgdACCHEU5N7TPWSYyNE9ZDzUewmEqsC5Lq1VSQZt49kMlkOdTZU/Ld+h5lMJrvNWySEEGKvkHtM9ZJjI0T1kPNR7CYSqwLkurVVJBm3xzwqK316sAWdRlXyNZ1GxelB21ZulhBCiD0sf++Re0z1kmMjHpfMcNh6cj5uPonbrSGxKvIkFjafNHDY5ZRKBZlM9rG73DisJn7/Wye4OOJh3Bmg32HmpSEbnbZayWgLIYR4IrO+MLenAlyb8NHTVsfpwZaye8zpQZsU9t1i+bHARvL3/ws3F5hwLWNvMtLTVgfy/CoeWDuWfO2UA4tJu9Obtafkz9Xi8fj9+RWOHrQw1G2mwyLXyiclnT63Rj65ufbZ8VCnmRcPy319P3JYTXznzWGujvsIRhLUGbUc77dILDwDScbtUk5vmO99eJ+R+0ucGW7h++9NPnaXG4fVhMNqQqlUMO0O8cltN999Z0xuYEIIIR7b1Uk/F28t4AvEsJj1hGMp/uVfXuW//8fH+Y3zPY+VIBLPptJDqMVSu+HPfHbHjVGv4fqEj89G3Og0Kr55voe+9ga5/+9j0jFxaxWP2yuNtz+/4yEYics4/AltFLePuhaKyorvK4MHGnn+kBWH1YRCAXVGDdcmFslms4DE6n7j9Ia5POohsppicTmGQgGXRz3U6TUSC09JknG7UPGNR6dRMe5cXrezyUYnxrQ7JAMvIYQQT2xkJsC/e+t24f7h9ITQaVScHLAV7j2SiNta6z2E/uF/dXrd2UwXR9yEoklC0WTha/FkmnHnMm9fmOL3fvOY3P/3qY265ElMPJv1ztXvvDnMn3zvpozDn8FGcXti0L5DW7V7VYrVdy/NlsXqPdeyxOo+NDa7zGcjnrKxX6vFJHHwlKRmXBWqVPOg+GvFNx5znQ5fIFbx96zX2ST/NWlPLIQQ4mlMzq+UfS2eTLOaSHF/fkVq92yDS2MezHW6kvot8WSaD666Kn7/Rp3QfIEYXfY6Lo151/17ckz3rkd1yVOr5XHhaWw03obcbDiAliZD4TyWcfjje1Tciid3ccQNlMdkPlbXGpmW/bxfKJUKpuaDhclA+RiJJ9NMzQdljPCUZGZcFam03EShgNtTS1ybWMzV4xlqYcL58CEoEIwz1NOE0xMCckUUzXU6AsF4WWeT0t9vRqFQotepqTdpCQTjhYFCPoknsxqEEEIUuzkdYGp+hduTfoZ6mqjRqrl4e6Fwv/AFYrw41CL3jy2kVCqY9oTwrcTRqlUlx0GjUuJdila8h+c7oc24g2W/s8tex2oiRSCcwOkL4yiqWyX1mPa+4tgoHkfGk2narSb+8M8uF2pCyrF/tOJzZuhAI/WmGmp0albjqcL3NNXXYNJrGOppwheI8dzBZmq0Ki7cXJBx+GPKZLL0tNdXvKYNdjfuwBbtbkqlAkNRTBbfW5zuUOG60NRQw8F2M+FYgs9G3AQjCakNuw8olQo8/ihnhltJZzIkkhm67HWolErmvGG5Zj0lScbtoOKgXTsteNYbIhZPkc5kmfWEH9bj+Yur/OorB5hayCXk4sk0NVo1ep2a4/1WVhMpfIEYx/osnBiwFv6W01c+7VinUfGVM11cGfWWXHClPbEQQoi1Lt9d5PKYF/diBItZT41WzdVxL6eH7Hx8cx4Aq1nPYJd5h7d0b8o/4CsUSt67Mlt4O51IpYnEknzj1V6m5lfwBmL81bt3KyZOTg+28P7VucJYQKlUcHbYTiqTwe2PYjHr+cUVF68db8dhNT1WHTEZgO8NLw21oFErWU3kZjm0WUwYa9RksrklaWuXpclxryx/ziTTGU4P2XEvRfEF/Bzvt6BAUXh50dtez3tXXGXLvb7xai/haEL27QaKm9elUunC7Jz8v50dthNLpPnd/+09hrrNnBlupaVBv8NbXd2c3jATrmV+9PF0WUyeHrKjVOZ6/URWc8+Z4ViCGq0aly+M0xPi/asuWbK6x6VSGU4P25jzRlhNZFhcztUL1tYoOT3cQiqV2elN3JUkGbeN8tM3Zzy5pgn5t8wvDbWUTWE/PWSvuCb75IAN71KMWoOmUPPl4u0F3jzfyw8/vF+4+a8mUvzFP4zR015Pm8XIPddKxSWpTncIz1K08PvPDtulPbEQQogS//DJFP/vfx6peE9aTaQKy1lePGKXboBbIP+ADzDU00QyneHMcGvhBVybw0Qmk+HO1BKxeOrBw1F5PZ+Sjqqzyzw/aOPtj6bKjmu7tRaH1bRhOQuFAj657WZyLsixvmaGuhsLx14SNbuL0xvG6Q2z4I8WGrLUaNVcGvVy4tDDF7vxZJoLNxfQaZWMO1fKjvt+p1QquDSWG7ufGW7l8mj5OP70kJ3Lox5i8VTFc2t6foVXT7TvxOZXPac3zKUxD+6lGO0WA+FYLh7zzz2+QIwTA1Z+9PF0UTI0xp/+3W267LWcHLAx1Ckvi9ZyesP88V9fo89hrhiT8USKl4bt/Nu/K68Tm38ZF0+muTTmpaulVq79e1g6Q8X8xNeb5R7wtCQZt4WK39x8eHOBe7PLtDQbabMYiaymmPWGmHEHuedaIZV+mE3WaVSsJirfpFcTKbyBKL//rZNcuLXAnaklBrsb8a+sbnjzP7/Ojd0XiGGu0+H2R4kn02jVKnmrIYQQouDqpJ/P10nKrCZSLIfifPmlTnpa6xmUB50tkU+KtTQZ8AVihQf64nv97Uk/Lx9r42efO4H1i+87rCa+/cv9LAZX+dt371U8rpNzK/zy8x3r1mMamwkw7gzQZjFRb9Ly2YiH6YUgLwzZuesMrLukVZJ01cfpDfP+9Xku3lqomGyPxVPUGjQY9RoCwTj3XCscdDQUjvv9+SCvHGvbt0kOpVLBtDtUWJZqazLwyrF2wrFExXMrnc7wT//RYd75ZLri7/MGYswshDjc0bANW797OL1hfnHVVZiZpVIqaKyrAeDjm/MPXiKYmPdF1n0e+mzEw3feHN63sbqeiyO5Dtvr1SBfDicYn6ncLHA1kaJGp+ZEvxXfyir/4ruXctf+oZaScgdi99NqVYXzq1g8mWbeF0arVZFIlNfGFBurqmRcf3+/Bvgu0AXogP95fHz8P+/oRj2F4loRZ4Zb+P57k2UDnBcGbbx0xE42C+l0hgww487VfduoKYMvEOOFwRZazHr+m28+h98fBuBffPfShkm8YCRRMo07z2LWc3vSX/jve3MrMlgWQggBwNX7fsanl/BucE861m/hV053be+G7SPFRcoDwTjH+izr3usDwdWSe/3a2lO3ZwJ8NuJh1hNiuLeZeX+k4t9c8Ec2rDHXYTOhUir59PbDBE6Hrbakw27xklZA6s5VqUtjHqLx5IbJ9hcGW5hwLjPU08TggUb+5md3yxLB+22JWqVl45CLe4etdt2fW/BH8X3upKXJUKj3XMxi1nP9ro+vvuiQsXiRCVflLo6nh+xcvL3AyQEbep2KCefyhs9Dn///7L15cGPXfe/5xcVGrCQAYiEIgmtzA5u9kL2ru9XavMhyNG7FsexIqcSTSbn88lJTmRqXPJOJn/+Ia+pN/piZ+DmvJnFe7FeRnciKLHkpyWq11Ku6yaa6ue8LCGIlFmIlQfBi/gDvbSz3giCbCwDeT5WrLDZwce85557zO7/z+/2+oy7OGZcGtb5k1yBP51iLBv0s4j4efwzP9tbhw/vWnLn/6pVmtJqqDtW8UO5YnbnjA3jsw+DYPsUmj/SHALwTExMXAXwBwN8d8P1sGyqV5P17Vji9EUxamU8SIqsJGKql6B9z4dMRJ4R8gk7z8QfXoFUx1zbQqSToany8iJBkkjaY8znxbO4w9Gppxt/EQj4qRIKM+9tOvbjdUk3h1Fc4ODg4io8hqx/+lTXM2oOsa1JNtQyNxsp9vrPSJXu9K2T9o4qUAyn7QVMlYV3r3ZvR7hTpa/rwgh8/fGsQtwftsLpC+N19K7QsdZR0VRIsuEI4ZzFkqLUCKdtBKRNlRP7k2/zeGnTgb3/2Gd6/Z8WCM4j371nxg58+gNUd3vLZOXYO29hK/ztB8OD0xeBcjjJ+1uOPocmoxM2HdtrpNjrrY+znT1nUFssRytb/eGAJnkA0pz1cvihqdTLG79bp5bC5w6gQ8RnfrQqRAE3GSs4RlwZB8DCzFGRNobx4rBb9Yy7cfGiHViXJux+yOkPwheM512f6/4cBag9J1SBnGpOVchF0Kinj93UqCbyBGGPfTFgD+NuffcbN9WWEoZp5Xqth+TvH1hRVZByAfwPwVtp/J9g+WKykS0KLBPy80QTaKgldgHnOsYKzXTUIx+Lw+GOoNygwPOPNmNzEQj5rPZ5zFgPuDDlQa5Yznmro1BLIKkTQqiTwBGJoNVWBTCYxbvXTp+gKqRCXjxu3fEY2ZbXtRtRlX+eZU2Zo5aKCv8/BwcHBsTcMLwYQjSYwNu+FTi0BwSNyoqvFQj562nXo5gQbtiR7vbM0aTA658PYvD9jHRUICPqQjcIZiIEkk3T7X+tfxMk2LWtUDRXtLhbyYWl6rCh4f9RF2xyUKp6sQsDYr2KRAHeGXfiDK81447Ue3B1xYcLqR5tZhXMWPUYXfBhOs2/ybX4nbQGoFBV0nVuAPYWW48lhs9HY/q5XS8AneMy2o0qCeCJJjw+VUsxq184srUAgIA5FEe/stHEm9GoZ47ulkIpS9bXG3PjKlWZMWQNw+2MwVsugqZLg1qMl/M9fPU5/h8tWSbEciMGgkdIqvxTuQAzdGhn9twqRAJHYOut+yKST4wc/7cN/fOUYhEI+bg/aMToXwLmjejh9MczYVso+ejd9TBEED+e7UsI+d4cz6+81GJXQVFbgo/4lnOzQYXB6OWc8m/QKDOSJmpNJhNxcX0bU6eR4NJk7r5m4/t0xvGSy+Cb4trY2BYB3Afx/ExMT/5Lvs4nERlIg4Of7yL7yw7ceweNPFcA1VsvA5/Nwe9CR87nTFj38K2vQqaX0pKdVSSCrECC6msByIIbeTgPmN5XR0pXrvvenZ9HZqMm43uicF4PTHqyubeBXt+ZyXpIvXmiA2xfD8Owy/vp/PIv1BInf3VvApDWAGq0MHfVqTNsCsDpDaDVX4fkz9Tm/Qf3O//Ff7+Zc/5VnW3DrkQOWRjUunzQxfreQ63z/z85t+d19Yk+Pxopt3HKUDXt+pMuN3fLn17fnMDjtgc0VhkkvR2ejBm9+MIHjR7T0eqVTSXDaYsAXzjfuxk+W9bhlW+96O/S4PWhPqf8dM4IHYM4ehKFahiajEnqVFAOTbiw4QtCrJaivqcScfQUefwy9HTr8Ok31jrrmixca0D/mZrQZ/vw/X0etTp5hc2gqK0DwCHgCmYX77w47YNYr8P/+L1cYn2ls3otpP6JaAAAgAElEQVSf/24SDzY3YWIhH13NGvq/0zljMYAHgM8naCVJAGioUbJev4QoqrHLNtb+4msn8H//7LOMv0vEAnzjc22YsPohqxBmKHtS33vl2Ra8+cEk3WdM/UwQPJzrqgGPByy6wwXbgaXMf/i/rmPBEcxpD6otVuMJeAOrONmuhdMXhc0Vpm38eqMCs7YQ/ZlTXTqIBHxML67AsRyhbXAA+GTAhpHN2tC73KZFNW63YnTOi3dvzGLRFcqYo0gyiefPmDFnD2J6MZXKT/VBTbU0Q5wGSI3fL19sgn05AiCJxc1+aTRW4te35xBbS2R8toj2JLvC6JwXnwzYMDbvx/luA1zeKKZsK2g2VsJsUGB8wQe7J4IGoxLNtZV4++NprITjKYfd0RpoVRLYPRE4liMw6eUQ8AlYHUHoNTLc2wxGSaenXYfhGS9qqmW7Oddz+7MD5J1PphCKrMPmDsPmDsOkk8Okk0MhE+Lly0cO+vaKGdZxW2yRcWhra6sD8O8A/stWjjgA8PuZQ+uz0WoV8Hj2Np/Z6g7jev/juhFWVwiXjhsZT8akYiEa2pT45Y3ZnPoHX7zQgAmrHzZXCG5/FAAvI0ruo75FaOUi+pmocPm19Q3auJpaDGDB+XjR+uWNWQj5BK4+04JgaBU/+MmDjDovb34wkXEfNx/aGet/fNRnzXgWIHXCPT7vh3M5ggVHENf6FresHcJ2HerZDhqtlr3ex25Q6LjdDvsxxvebcnumvX6evR63wO6P3XLrY6C0n6l/ahn/9F6mauqDMTde+2IHRme9CITW0GauQluDGiebNbvynMU0bvei79jWO0qFtrdDj3vDzow2fzTpwRmLHiSZ+m+rK4TBaS/OdtXA4Y3AF1zDl55qhM0dxnIghvYGNarkIrz98Qwq5SJGm6G3U4/3bubaHC9dbMT1B16olOKM77WZVaxtUS0T4fKJWvrz6SlO2faOgE/QBdYp5b2trl8q71AxjV2Afazd2WzzdE626fDT345jbX2DdmCsxRNwB2Ko1yuhlAnh9kXpqEwqmjK7n7PFRAq1A3eT/R4v7eYqLDiCOeM+uy3mnUEopEJcOmGia2p9Tdua8ZlanTxHaODmQzvOWPS48TDVb7vdpsU2bvORvscBclVpu5s0iMYStDOOJJO4PWiHVCLEn77chVn7Cibm/dCrpTBq5XD6IoziN9ThCMV+7Un2a+ymt+OFbiPeShPvoRzLZyx6xBMb+GzCDU1lBVY203nPddWgLyuyemh6Gd0tWsw7QzjfbcTDSU/O3E+VQso312+Xg9yflcq6tFcQBA8EQeCXN2YBpCKlH4y78WDcjddf7IDXGz7UUbz5xke+cVtUNePa2tr0AD4A8J2JiYkfH/T9bAfbchj9E56cv98adODFCw14pscEs16BMxYDvnihAQCw5AkzGk1uXxRPHTMiFejPg1YlQW+Hnq5jQBVkpribpnIXW0vgrY+nwSN4iCc2MDzjxe1BO0gyual2EsHdNKM/X52XuyOZ9T/Si0hn40mrU8P03UKvk/1sHBwcHBz7w4g1gIdTHsb1YHTOi9V4Ame7atDWmHLEcWzNVuumXi3BGssaHFlNYGODpGv4rK1vIByLwxtYxccDNiyvxGDWK2DUyjA8s4wp2wpOtung9mfW76HWVd8Kc10ftz8GkZCgVdWBlG1wzqLP+1xd9Sq88VoPPn+2Hg01SkjFfHzjc20421UDs16BnnYdzlj0mLOv0M4KygG51fU5tk++sWZ1hjJqCWbbfpQDY2jGi7a6KjyccsPpi2I9kcSl40Z0NWsgEqSiwPh8Hl6+3ISedh2aayuRTCYzxo1Bk6otlc8OLHXSaylS4gFnLQYkNsicdywUXYdzUyhFLORjzh4syAaPrCYy6ndtZVuXK+nlf9LnQj7Bw1/8wXH8l7eHACCjrQiCh942LcbnfRie9kKrkkAk5OPXt+cQXWVub2puSqec9iTUXnGrMecPriEUXYfdE6Hn6vTPr61vwOmNIhRdx2o8pbTcaqrEG6/14LneOnru7+3Q4+6wg5vrywiBgMDI7OMDOMpmWFvfwMisFwJBUbmVSoZii4z7LgAVgL9qa2v7q82/fWFiYoK5IEORMLzgx61BB5zLEXQ1azLCp0kyiQfjHpw/qse0bQWO5TAeTnqgUoohYgmDtbnDSCZB1zpIPwW6PWjPKMjMZHxJxQLM24NwenO9+6FoHHOBVfq/89V5yVZhy1ZWSz8pzVZlzf5uOvkU2rYjIMHBwcHBsTs8nPHinc3TTiZsrjC+cL4BUokAR81cjbhCybfeGaql8AZW89aWra5KFSOn1nPq4MsfXEOdTo5/S49ucIZyos+A1LoKADNLufcAAPP2IC6dMMHpjdCpqm1mFWMEDlPdsa8+3QynP4Yf/LQfv+tbhFkvh04lhUySEnkQ8AnaNlpyh/Hli02wNDBfn2Pn5BtrZoMCj6Y8dM0tNtuPKrquUlSgQiRAYoOkI2KAx/boqU49hme8aKtXweYOZ6RnevwxdDVrwOPxyrbemVknz6ilKJcI8fQJI/7+nRHGz6cfWDuWHysY57PBqe+k2/L5bOtyhCB44PFS8wc1rqg91rwjCIVMhJNtOtwbdeJMp4Eef2csBrzLEAV86UQtJhb8jL/F1N7lsidJ3ysWOuYcyxF6zLJ+PhDDG6/1wrAp8PT1547A6Y/h9pADI3M+PH/KjHMWPTfXlwliMR82F7MYh80dhljMRzy+wfjvHOwUlTNuYmLiLwD8xUHfx3awusP44VuD9GlDPLGBSGw9wxg+UleJvjFPRiHRfBLSdXoF+rJUqahTG4VUmHHCwGR85bu2QS1FdWUF/fl8n2VahM5ZDLjx0I6TbTp60TvRqkVHoxojc768382+zscDSzkhzdzpCQcHB8f+MrwYgGclhshqHA01lcxFr/VySCo4R9xOONpSjbF5P1y+zMgztaICBHjg8wlWMQYhn4A/uEb/raZaBh6ANrMA845Q3ggPyi6h1lU2R41WJcGH960AQKeqBiNxfP50XUYxfqs7jL/92WeQSYTwB9ew4Azi44GlTaeEkxZocPli6OnQ4zdpNe2ozfDVKy147mTtE7QmRz7YbKvjrVrE1h47yuQSEcKrcdYC90IBH/dGnbA0qhnHGFVbS6WogFBAoE6vQP9Yym6lxhDgxdlOXdluxM06OS26Qr0n7fUq1ndseMYLkZBAa2sV3e75bHCtSoJJqz9DtKBcnEOFMu8M4fqDxZx55OKxWggFPNz4zIb4OokznQY6FV6vlmDRzTw3hiJxNBiVrGIlQ2lBBeW0JyHJJE536uDyR9FmViOeSGwpANRoVGJgwo34Osk6Rjsb1LQjjsKgkuDqpSb8/tPNh2qsHgZisQRMejn9HlIHg2vrGzDp5IjFSk53sygoKmdcKXJ3xIX1DRIXuo20c6rWLIdOLYFELABJJqFTSSEWElh0hTIGLlt9FblElLOIALknEBTZxtfa+garQtqpdh0A0J/Pdx9Mi5BZJ8e3vnIUP3xrEOsbJH0Seq0vpe7GAw8DE26c79LnPb3LPlVsM6vwzKm6oqgXx8HBwXFY6J9axqMpDxZdYbSaVWgzqzE658spZN3dokGVRHiAd1qajC0G8PHAEgDgZLsWlTIxvCsx1NekimOTZJK1tqysQoANEhkOPKVMhBufLUGvlrKWA/YEYjjarIGmUoKjLRqMLvjw3z+YxOlOHePvUHV9AMDtj+FcVw0A4K/+4X6GquCkLYBWsyonQqV/wo1AOJ5x7XTHIwVVhoNj72CyrSxNavzo7SH6naY2Uq++0IbhaW/OeBDwefjkM1tepVCPP7bptOOhSi5GMLKG3g59RmRchUiAe2PlqaJIEDwsuEK4M5yKEm02VcKgloAgeIzvmFYlxdMnJXjmVB1c3gjujbjy2uASsQBHm6sBpNr62JFqSCuEZeMcKpT0MjzAZvpphx7xRAJz9ghazSpUiASIrz8+gIgnSNg9Ecbr2ZcjeO6MOaNGJ5Dqo6baSiSBDEG9cuBxNLMfPW06JJMk+ASzOjq1FlBK6VdO1OL2sBN8lnEN8PDz69P0GpGdTcVRflTKxbh03IjI6uO5XlYhgEzK7d93SnnMNAcEQfAwtuDLKdhKFQP9ytPNWF5ZxcC4C58/3wCnL5ZhpDyc8uBPX+7ClDVAG03nLHp8OpqrSAMAHfW5JxBApvE1vuCHVlUBvUaGFy80YGlT9aalrhKXuo20UXT1SjMmN+XU4+sJvHSxiVZpy5eiAoDOF7/Qbcx5brGQjz99uQt3hp348a/H88qDU6eK1OR92AtjcnBwcOwn/ZPL+McssYaBcQ9efaENQzPLqQ23Xo7jR7Sor1FyhyXbwOoOY9IWwC+uz+SskVQdNSGfwBq5gVuDDnzl6Wa4/THM24OoqZah0aiEpEKAyQU/zHoF6muU0KsleDDmwdMnTTjfpcedYSesztw1s6tJg68+3YyhOR+uP7DR67rVFcaZLgNEfALTSytor1fB0qimay4BDMX4N6Pf/uNXjzE+y1eeboHVFYLT+7hMx5xjhTWVZXpp5VCl2R0E2bbVz69PZzjXgZRjdNoWwNUrzZhdCsK+qY5orJZhyR1O1SKslkFaIWTJ4JAjmQQmrQG01ldBUynJUGOlxseVnrqy6m/KsTG24Ie2KiWQtugOYcEZpNN3ezv0WIsn4Amsor0+Zdc3GBS0nauVi/DtV7pxf9SVen95yRwbvNFYmSOsJhbycbJNe8AtsH8wleFh2m+lxpkJKqUYK+E4ett18IeYoz5rqmUYn/Pi1c+1YdLqpxXDa6vleOv6NIR8IkPIRiIWlrQzOVv8giplcMqiz3CeNxqV0Kmk6Bt14aljRpzu1KOrXgWrO4xPhx1QSEU4Y9HTDhidSgKxSIAP7i8ASNUrFwj4mLGt5N33cZQ+epUEb/blRqu++kLrAd9Z6cI547YJVciTJJMYXvDDqJGxFsJccIXg8kZxok2LH/1iiEHBrAnTiwH8wZXmLGPFgOsPtpfCmW58pU7rXJi1r6CnTYeXLzZCX/XYiUcQPNwedCKZJFFdJcXgtBd9Y2465HR4xguPP4b1xAYsDeqMCZVaHPMVAP10yIGhzYUsPY2FbWIu1EgrJ4OOg4OD4yAZs63g0TSzWMOk1Y95xwpkFSIcMVWi90g1d1hSANQaRaVztppVrEWyA6E1ujYPSSZxf8QFs0GBv/mzs0gkSPo6vkAMUrEA0goBjjaq8aWz9fQ6yJaSePmkCfPOEP5us4QGkFnrq0Yvg0opxmeTy0gmk/jWV45idM6HmaUV8HjIuWcA+DQrkoR6lnn7Cr3eWzc3eme7ahCOMW+GqTS79PWcW9t3F6o9qXbOJ+oQXU2gQsTH8SPV+KBvETZ3GMZqGc5YDOhqVKFCIsLtQXvOGOMTPFrp0x9axdHmasbxEYysweoOwVRd2htzguBhwR3KVPXMqtFIpe9SaX5fvtiEL5yuA5Br53bVq9DdqIZAQOB7P+7D7UcO2gaftKZqmjG1543PllApFaJOW9rtWQhMdarZ9h2haBxnLHoIBQK8d3MWvR16xkiuS8eNGJ3zYXh6GeHYOirlIri8UdhcKRXINXKDtUZfKc5TNwcdjO1Fkkk8GHMDSKWV25cj+OMvtOOl8/UZpQmo8gOh6DrsyxEopEKcsRhw8+HjOeFCt5GO9AQeH+B89/UeNNYoM67HUdoQBA9TiwHGMTVlC+C5HtMB3VlpwznjCsTqDuPGoAPTiwEYqmVoq6vEvDMETZUEQ9PLjN+hTobTlZMo1tY3MGdfQTASz5ngmdIMCi2ASZJJJJOAgA8oZSKEomtYyyqmSC1wHw8sQauS0iHJerUEVN6LViXBuzfn8O7NuQxHGvXdtfUEa/qCO6sIKqUAtdNTEqaC0dyJCwcHB8fOeDTvg5DPw2KeQrxXTprg9sfQaFDu892VHulrVFeTCmtxEjKJMG+KX6u5CjcfPhZZ0KokqJSJMoofZ0c4ASjIVuhs1ODv/vUh8yYsmcQ7N2bo+m7TtgB9YPb1547gr/7hfs79qpRiLDBE4AHM6/1qPIGOBhUdXUIhFvJhaVLj59enMWldwbmjejh9MS6aYpdgs5XYagUaq2XwBGJYTmxgaGYZPW06yCVCvPpsCz3OtFpFzhjTVIrxsw+n6OvIJELY3OxzydCsv2Sdcem2f61OTitEUu2TXaMxvQB+35gLL5415zhwsucLs0GBaVuAVifMlx7s9scwPOc/FM44IPPAIZ/wgM0dhtMbRZVCnNpzDDsyBEXMBgWe6zHBrJOjo64KBMHDm9em8P49ayols0NHHx4opEI01Cgx7wjiiCm11yvFPQjlOGHC5gpDr5ZuRjVHcaxFSzvw07+f7ciXSYSYtD52xjA5SKlU4vf7FmFzhVGnV+CMJRVpx1HaEAS73bjoDJeN8vB+wznjCiA7zNfqCuHRpAdXeky41p+qlcZWCNPjj+Y1yM9YDIwnLUxG+E7uFQA+7LPlRKZRC5xELMDlE0aoKyVY8kTgXI6gt0MHY7Ucn016QJLJHEfaOYsBn4440VTLXOg7W1kV2PnpUm6I9daRdhwcHBwczPRPLmNo9nEKKptYg1BIoLeDU0HbivQ1iiB46GrWYHLRh0A4zmob6NQSrCeSGRsaWYWArumaTb71ks1WGGdRDLS5wpBJhLQzDsg8MGNy3PiDqXpgha73Ll8U3/o9C1qMlay1yy50GzPSXrm1/cnIZytdPl6LO0MOus8JgoenjhmRTCaxniBhqJajp0MPggd0N2lyxlv6GAOAv/5xX8ZnthIheDjlYXRKFTtMtj+TWnG6Ay79fWASWxid8+b0U3bNyMBmqmW5tedOoA4cPh11YWoxAJ1awip8Z3UG6f0WSSZpQQeVUgyXL0qnClP/Tu2DAECvlkImEeIL5xqw5AlhyZ1Ku2+qrcR/fvMzRGKpd6eU5imHLwpDtYw1XdexnHKqUIck2RQiEMjkIGVKJe4fc+Hbr3RzDrkyoFbHYjcW+ftQzHDOuALILiAKbIbfR+NIkknwwFzYskIkgMsXYzVSdCoJuhrzT0zbXWzZ7jXboUYtcJO2FdjcIUbVM8rgyJZSN+vk+OZLFvSPubYsBk3RZlZlFLvNPl1i86YX+jwcHBwcHPkZXvBn1Ih75ZkjjHN4a50KzUY5ajXcHLsV6WvUua4a3PjMhlazCnV6BfgEGNv3eKsOwzPLMBsUqNHIYNTKIBULnmhNy7YV2KKhaqpleDjpyfk7tc4zpb4CwBmLPmODRT0L23pPkknW2mX50s24tX1nsNlKHz6wwemN4lSnAQa1FJ8OO3GiTYtf3ZpjrGWYz+Kkxlj22MonBFYhEqC6UlKSjiO2Nk2PhAMeO6SzC+AzlZb5ZMCWc81bgw587blWeFdWMWH14/zRGtiXI6ztqa0qzfbcKdQ88tv7Vrh8UVbhO6b9FhVtSEV+ZV/3jdd6MDLvR9+oC7//zJGcOn0D4x68dLEJb300lXHNYp+nrJ4w/vbNz/DcaTNje9Xp5VgOxNDTrkOFSIDROR+jo2wrgcBs51y+uf3+qItzxpU4iQQJS5MGA+PunDHV2aThUpJ3COeM24J89TZs7lSYb3Y4dINRiY2NJB3KzmakXDpRu6uh5vnuNduhBqQWor5xFyKrzBPn2qbBkX26Z1sOo3/MjVuDmc+tVUlwrKUab/5uMuNa1KnL3/wk99T22690Y2TWi/GFACxNapxu12U46LbzPBwcHBwczNiWw7g/mulMeefGDF6+1Az7cjhVyFonh0knR7VSzDniCiAl4pSKQKM2IaHoOuQSESKxOAYmPTlrpNmgwMjMMgQEASGfgGM5jIeTHtRUy/B8j2nX1jS2enKNRiXujeSKRKU70NIFoer0csglIozNezfXa19KKKqqAg3GSvz69lzGdZicENm1y/Klm1FrO0fhbFUXLp7YwEf9ixAL+fjuH/Xgw75chxBVy7BvzA3zFnYp09gamHBniBBQBd4HJtz41leOPvlD7jP52jQ9Eo5SSr14TAzdprPzc2fqGUvLEAQPI3O+nOuRZBJ3hhz43h+fAgC8eW0KNx4u4StPt2DevgL35txRsdmel0+YMhQsDwuWBjV+dXs+Q3hAp5KgvUGNeUcwr1OYreY25eiLrycwafUzvhd2TxgKaWY0cbHuQazuMPonXAiEU3XeUhlYj4UXKJVYjz+KyOo6bO4w1tY30FCjZHwes06O7//ZOXzUt5hRCuGZk6aMqGeqJEG+ud3qDEEgIDiHTQkjEBCYXvTjpYtNsHvCsLlTdqNRK8e0zY9nThi5/t0BnDNuC5jCdCm0VRJ0t2gwsRDAoiuEptpKfO5sPcR8Hv7mJw/oSe3usANPdddAJODTCmZnO3c//SffvTKFyxMEj1Z4ZcLtj0GvlmYsYsMLfgxOL2PeEcwJAx+e8cIfXMN3/vAk7g67chRi2YrRpos9XOtbpMO/t/s8HBwcHBy5WN1hzDqCOcqbiQSJtz6aQnu9Cr0dOoSi69CppejkTq8LYsEVgk4lgdUZytiETNn8EBAE4xrp8cdQXSVBTbUEt9JS3XZ7TcuuJ0fZHQBztF76Om/WycHjAWPzPvSlOXA/6k8V5X712RYsuEK4O+LC5ZMmhKNxLLrCtHIkk22Tvp7nS2vk1vbtk9dOTUubXFvfwPCsn7HdgZSTiYetBTWosXVr0IHJxQDtKHr742nIKgT4ytMtuPXIjioFcLJNhx+9PYTvfONkSTmO8rWpSSeHyx+lnW7p6Y8v9LI71EkyCUujGgsOdpuWcvCTZBJvfzyNi8dq0aoQY84eRHUVgaeOGfHB/QWQZLJk0iV3C7NOju984yTujrjg8kXRZq5CPJHEv3wwgXNdNRAL+TnBEW31Klzo2tppefFYLf6ff3vE+G82dxgNNUoMpaXjF+M8RaVVP3/aTK/1d4ZS7SHkE6jeVP8ViwS41r+Ycf/5nqezUQOtXMQY0EH9rdWUKkkwa1/ZVO7OnWPMBgXnqClxSDKJ2aVUMA1VW3FoZhl3hhww6xVF906UCpwzrgDOdxkwNu+HyxfNqfEyaV3B0MwyXnnmCC52GejvsAkw7PVJCttpONOpEEkmYVCnVFaZJs56gwLP9Zro6D2rO4wfvjUIABmGNBUGDgBH6qpg1sphviLPqBH3T78ZZ7zfrcQetvM8HBwcHBy5zNhXMLMUTNXVYZjr5RIheATQ06ZDay0n2FAod4adUCkqIBbyMxxM3sAq6xqpVUkglwhxrX+Rvs5erWls9eQKEYi6M+yEyxeFSimGP7iWipZf38CdYRfqtPLU/57OXOeB/KU10tfz7UawcOSHzVbKTiN+OOVBe72aUZBDq5JAr5YWZKOadXJ8/bkjcPpjuD3kwMicD8+fMkNTKca/XptCpVxEizqolGL0jbtLzml0zmLAnSEHZBIh/Q6IhXyIhHx888VOGFQp+zm9vbZqu8snTbjWt8g67hdcIWirUg5+kkzik89stDO/VijHp1niEcWeLrnbpKesvnszFZWrU0kwMOFGb4cePF7KeWZpVOPq5WYcbdUVpAKulotY10eTTo6hmcdCfakyPsU3T93djHiuqODTDrHsA6HjR6pxe9CRMU4LnXeZxnZ6+SKzTg6BgMDQnA8PxnLTGE93Fl+bcWyPRIKkaw2HousZDmqTXs45W3cI54zbAkr1CDygt0MPhVSIQHgNJp0cPB4P//7JDBIJEtcf2HC5uyZnYso2gvfaa7xdJdZT7Xp8NGBjNIqf7Uk54qhnuJsmXV2IIZ1eKLWQU1uK9PDvJ1GW5eDg4DjsjNsCmHWEYHOHcabLwDhvSysEaDQoOUfcNqDS2Nz+KF58qhELjiC0VRK6fdnWSFmFgK7Ts19rWr6C/Ew2CUHwwOMR6GrWwONP1WGqEAlwd9iRkUZKqe8Vqnievp5PLQZw9UoL3L4oppdWuLX9Ccm2lUw6OZLJVGZGOk3GSpyz6PFxVu2yrURE2DCoJLh6qQm//3QzgJS4Q2wtVfokPULJs7IKqye8ZQpssXGq04DpxQCOtWpRp5OjQsTHkdpK2hG3XTobNXlt2jvDrpy5g6rNJZcKc8RXijVdci8hCB76xzwZ6aqdjSkBAo8/hu9/8/SOnAJsdTFbzSpaKVerkqDNrCq6cUytR3q1BIvOMOsYOmsx4GynYdf3VFZPGHfTaoL/6ctdeDTlwYIjBLNBgdOdnJpqOSAQELA0qhmdrZZGNQQCIkMRnqMwOGdcHqiQXyB1stc/5gIAXOkx4b3NE5kznQbcHrSzhvgexAK5HSVWs06OZ06aYNIpMLO0Aoc3glZTFZ7qrgEA/Pz6NMYXAjjdqcP4wuNaF0x18p45Ucs6oRd6aisW8nGqQ58TCr0fUYUcHBwc5cRns1788pNZOqrb5gnjqe4a8Age5paCqKmWwaxXwKyXo9PMGcrbgSSTON2pw7s35xBdTdUbcixH6Po8S+4wXrrYCI8/hjlHEDUaGZprK9FqqoRZJ0dXverA1zS23553hnD9wePoHZcvCr1aikvHa2GsluHNa1P0psvSpMEP3xosWBWVaT0/6HYoF9LbdsEVyiiXAmQemF690oxFVxgLzhBqqjPH5k7IFndgUlR8NOkpmbTKbPv/0aRn1+6fzaZNOVT8WHSHcmpNaqskWE+kHCpUlJM/uFaU6ZJ7DUkmce6oPkONmRIhuXqlZcfROV31Knz7lW7cH3XB6kw5kYzVMvz398fB5/GgUooxafXjpfMNu/g0uwO1Hg1MeOBYjsDmCTOOoYbNVMLd2lMtesJYWo7gzd9N0k7i9DWgyajkoqXKiESCxGo8gTMWPeLrJOIJEiIBAZGQwGo8wfX1DuGccQxQE9StIUfGyQt1OhyKxQE8VlVSSIVFmVpR6CRLGQYv9Jro72VLuju9KZlvKrUhPfT50nEjLh6rgama3QpDIdcAACAASURBVEBpMChyTgMtTWr86O0hAKk2pxaOe6NOBCNrOafrh83g4ODg4NgpAzNeWjUzPbLpxkM7Lh2vxdHmaohEBGp1Mli4E+ttQUWCjS340dWsgVImwufP1WN2KYh5RwjGahkszRr86vY8nj5uxPf/5DSA3DWsWNc0SkUyfV32+GPYIEnY3CHc2kxzcnoj8K6s7kgVdbsZA5zDrnBIMok6LXNWAQDathML+dCrpVgOxPDFs+ZdERSjUjsLUcst5j5ls/9vDzlgfvbIrvwG03xAOTOza00ebdagUi7KuSdLk3pX7qXY2GpsuHwxxvHl9kWf6He76lXoqldBICAw7wziw34bjrVUZ4gfFHJ/+0n6eqRTSdBQo4Tt43DOGLp4zLirmVrDC37ceLgEty+GVrOKtjFIMnkoU6gPAySZhNUVxgYJJEgSy4EYdGoJ+CQBqytcNO9EqcE549LITLVQQaeS4hfXp3NOXq70mKBXS2F1heAJxPDGa707DlkvJtJfomxJd7a0GwA42lLN6ojLTl8532XAq8+20L9FFWPlETxc7398Em91hg5dcVoODg6O3eDB9DL+4ZcjOWvXua4a3B60Y94RRHWVBBePG9HdUJ6bub0i+6DK6gxheMaLL19swqTVD5lEiM8mPbSz46zFUFIGarqKJFN0U/o4UinFcG+hisr27IVGxhWaAsvBjIAPaCorIOADPF6qFmB66hpVI+vOsAt/cOXJ2zWVLtuLv39nmPHfpxYDOSltxdanAgEBAZ9A/5id0f7fS0dMehYJVWtSLOTj0olaAMiIQrW6UnNPOdnJbO979nwxbVth/P700squ9E8iQeL2kBM3HmY6tNbWN0AmAac3iuZa5YGPXab1aGjai6e6a3DjoT1jDFEZT7v1u9ljMX1tAFJrAKeeWl4IBAQkYiGuDy3mzo29dVx/7xDOGbcJUyTY0WYN48lLMBKHUJCqmdJRry4LR1w6bJLud4cdeOFMPZBMYnzBz6gKm74IWt1h/O3PPqOL3zKlr1BReT9PCzen4E5WODg4OArH6g7D7otgYNzDOJ+uxhMQC/mor1HiuZ7aXYmEOWzcHHTQjrZ0cYNZ+wpOtukRicUhEvChU0lQrZJmKC2WAlR0jtMbYY1uosbRTlRRKUfMpHUF547q4fTFMGNbYXTKZNtlW6XAcjwmu+3EQj4c3hhWImuMn9/N2mMGlQQdDSrGcXG2y4Af/KQ4+5Qam1ZXGCqlmNX+30vYVJAPg53M9r5fvdKM24POjDmCrQ71bqXtpu+D0gV4AMCxHIG0QoCPB5YOfOxmB04AqfsVCfl48XwDRuZ8e1KPM72GePrvUmvD2voGTDo5vv/f+jOclsUUUcixM6Kxdca+j66us3yDYys4ZxxSOe8fP8ysZ5bvxNfmCQPJ8lX+YhNcIMkkkmQSf3ClOWdCZTrNmloKoNWsyikAnZ2mAADjC37GezmMxWk5ODg4tsvIgh92bxTL/ijr2uXxx6BXS3GmU8c54nYAQfAws7SCC93GnPS1JXcYS54w/ME1qJRiDM148fRJSUmuXecsKQV5T55xRKmgF6qKanWHMWkL0HWeLnQbM2o+MTll2DaaHz6w4fk0pXeOXChlRWO1DC2mSkRWU+PVpJfDoJbR6WQUu117jKlOsEIqhNMbYezTW4MOfP253Un/3C7ZY9OgkSISY95Y2jzhPb+f7JpyVncYv71vxdi8j/Hz5WIns73vE9YAnN5IxhzBVod6t/ZkTPsgKm2fTJJYcqdK96iVFeifOBilYLbACQCYtq3ge398Cr//dPOujwuqtiET1NrgD64hmQSmbQFM2wKsTlWO0mPekesEB4B5O/PfObbm0DvjrO4whue8mF3KHET5Tnzr9QooZSL8yYsdZTuZbLXQZTvimE6zzlj0eDDuTn0mLYQ5O02hq0mFZlPlnp5ycXBwcJQri54wApE4lv1RzNqD0KokzGuXQYHjbVpOrGGHDC/40duhw3s353JSNF680IBf357PSAsq1cM6s06Ob36pAx/02RjHUboK+sCEG99+pRsjsz5WdT4qSp5SJRQL+QXVFGPbaFqdIfzjr8bK2gZ7EtLVcLVVElx/YMsZr+npZHsxVrMjvNrMKjx9wogf/Ttz+uqkLXAgDqXssQnkt/9bTVX7do/p9ZsBbDsKtZTI51hKd/6nO27zqdLuBtn7ILa0/RefajwQpWCSTLLunVpqK/dsTLAFbABATbUMErEA6wkyQ8mZzanKzd+lh6FaxjgP1VTLDuBuyoND74zrG3dBLhHmDC62GmliIR/P9pqKTtZ6t2EypNgWOrbTrMhqIqP9qBDm8925aQqXjhsLOl3n4ODg4MhkaTkCqyOIWXsQVQox69p1rFWLE02aA7zT0sXqDuO//vsQjrZUM653vuAqnjtVt2dpQftNnVaO53tNGZtPIDWO2swqeFdWM54znzrs3REnZBIhHWmnUopZo+6oKB8ArBs+yhlYLul5uw2lhgukHDhM45XHA47UVaHJWLlnYzU7wosgeOwbOc3BbOSyxyaQ3/7fzbpbhd4fdQ+FRqGWIvkcPOnOf+Cx45ZNlXa3SN8HzdpXkESS8V1acATxu3sL+Muvndj3+cigljCOCZ1auqe/yxawceWkCW9dn8a0Ldexmu1U5ebv0sSkk+PRZO6YM3F9uWMOtTOOIHhQysRYcIZg1ucOroEJN159oQ2O5UimQ6rMHXEUhSx0hZ5mUQRCa3B6c1WQbg068OoLrVj2r+7ZKRcHBwdHuTG1FEQ4lshwxA1MuDNU93QqCc50GXCymXPE7ZS7Iy7IJELYXMxpanOOEP7THqUFHRT5DuVe6DUVpA5L2Qjp0UaF1ppj2/BViASbkRblkZ6321AOHINGyur0tLnD+P43T+9Lse30/sm3kXP4otBX7V8NZmpsRmLrMDcoMsbj3WEHznXVgMdLtdVB2KTZ9jV1T9S83tmozqnbXMps9b5TZDtu9/L9p/ZBAgGBv/qHe4yf8fhjkEmE++5cIgge7g65MtZ6rUqCCpEAnw47Gefo3SJfbUOzQcHojNOpJBhKc6py83fpIRAQ4PGAMxY9XfqAUhnm8cAJOOyQQ+2MG1nwY9q2ApcvCpNOzji4NEoxLh01HOoJI99zb+c0CwCOH6lG/7iH8Tq3HznwvT8+teVvcnBwcHAAo1Y/7g674PRGoFNLQPAIDEy4cbJNh9V4AoHQGtrMVbA0adDdyKmm7hSqRk4+J1J7GaSKMcF2KMfmeGNy0FE2QnpkD1uUj6VJjZ9fn8a4NYCO+ip8+5Vu9I26sOAM0RtNKv1pL9PzStXmS3fgbOX03O9NE0kmIRERGba2TiVBdZUEBB/4m5/072t0EUkmcaWnFkMzXqiVFRnjkSST6B9z4buv96BefzAiLNn2NUkmcXswpe755YtN+MLpun2/p70k28FTb1AgmUzi1uDjdEeFVIijzZp9749EgkR7vQoLTva0/f12LpFkEq3mSrx/z5qj+Pq5M/V7fh9sawNbtF6dQQHx5vxNksmc+btU59zDRDz+uE+FfALVVRII+QTjv3MUTlE649ra2s4A+D8nJiae3ovrZxdrBVJFWZ/qrkGVQoxkEpBVCNF9pBqW+lRtHW6CYIftNEtWIcj5W3ezBuHYOqPzrrNRva125iZuDg6Ow8rDOR/e+XgGLl90MwpGluOIazIq0d6o5hxxTwhJJnG6U4d3b86VdapYPvKttUwCTukOFcpGSI/sWXKH8dLFRtiXI7C5wjDp5GiqVeJHbw8htpYAACw4grj+YAl//tVjWHCG6I0msHdtvtWzFDvpDpx8Ts+DGq9Haquw6ApDJCBwtssAhzeC0TkfTHo5ulu0+HR0f6KLsvcBVHH+tXgC7k2hC6VMfGCOOIrzXSkxFWqep7A0PK77WU62cLqD56PPbJh3hHCiVQtvYBUn2rVw+6L44L4Vi67Qvr+bW0Xu7WftPqrPLx+vxZ0hB0LRdToLab/f72yHGhWtl0QSNleYPkT55Y1ZCPkEXXuPusdSn3MPG0qZCB5fNOfvCpnoAO6mPCg6Z1xbW9v/CuA1AJG9uD5TsVYgNZnceGjHWYsBpzv1IMkkl9KzDa5eacbMUhAObwStpiq6roZELMxIb6nTylkXtMsnTQX9Fjdxc3BwHGYeTC9jYCIljkOped4bdeJMpwHJZJJ2xLU1qLkacU+I1R3GjUEHpm0BdDVrwOMBpzr1iK2lInta6ipxqdt4aNcgNgGn9OLcVMTLp6MujM75YKyWwdKswa9uzyNJJqFSiuELrkLAJ2hHHMXa+gaGpr345pc6cGd474q1F/ospUC6jUU5QNfiCXgCq2ivP9gSIGadHM/0mDA858cvb8zmFMO/0lu3584lpn1AetTZs6frcOuRHecsNQfq5KJsXfCA3g59arObTOLsZrmccreFbz50wqiVQcgncLxNi99sCuQAKRGX/X43qXns1qADk4uBjEjd/XKAUX0+tuBHnU4BhVSE0xYD9CopPh124khd1YG+31S03scDSzjRqkU8sZFxiLJGpupVfvf1HtRtjuFymHMPE/OOFejUMrh9UcQTJESbNQrnHSu4fHR/a2qWC0XnjAMwA+ArAH66FxdnKtaajn05AnVlBc526vbi58uO9ImUCpO+N+rEU901GbUWEgmSNrCyQ9FbaiuhU0vw928PobWuMq9BwU3cHBwch5lHsz78wy9HcjaxZzoNuD1oR3NtJc5YDDBpZWivqzrguy1tstcbq3PTYdBjglwiwNXLzTCo9q/GVTHCJuCUXT+Jsgd+KxXi3TQ1WgBweqM42qTB5CJz/dkJqx+vPtuCOu3eFWvfzrMUO9k2llwixAunTAce5UXfn1aOa/02xrYOR+N7fo/59gFr6xsYnvaiSiY+0GjX7LnH5Y1Cr5biSk8t/unX47jQbcjI7ik3Wzg9BVMhFYJkEU/Y73fTrJPj688dgdMfw+0hB0bmfHj+lHlfHGBs61Fvhx6/uD6NN17vKYqa5ucsqWhO+3Iko2Y4hc0dpueicplzDxNigQDv3ZwFkBJj8gfXAABXegoLqOHIpeiccRMTE79oa2tr2ItrpxdrPXa0OifsG0jl/k9a/fhqGRVh3kvSJ9K19Q164r074gKPl/p3gEAoGseiO4SOehXtbDPr5HD6Y/jBT/sRiq4DAObsK3kNCraJm5I65+Dg4ChXhq1+zC6t5PydUqoWC/moqZbBpJOj3VR5AHdYXtx4ZGdWTg2toUYtOfSOuHwCTmz1kywNarx7cy7jb5TSL0HwGGsypad/PYldtlMxqlIsNM5Uz6lY7p8geFhgqGMHAIuu8J62NUHwMLMUhEjAh5FF2dVsUOD5XhPqDtCxQdm6VPosVaB/cjGA5lolJqyBsndiUBGeMokQzuVcpw5wcO+mQSXB1UtN+yrYw7YercZT0cR3h10wXzn4vjfr5PjmlzrwQZ8tr0gPQfCwvLKak0YPlOacexggCB6CkTgdgEOxtr6BYCTO9dkOKTpn3HZRqaQQCPhbfxCARiPHU8drMD7vx9i8n07voYpJUrn/erMUGs3BT2iFoNUqDvT3x63Mxuu41Y+xeR/q9Ar0j7noFze+voE7Qw78739yBp2NGrx1Y5Z2xFGsrW/g/rgbPZbccFe235tcDCCwmsCROhXjvxcb2xm32+Ggx8NeUG7PVOrPsxdjt9TbhIndfqZrfQv4dNgJuyeSs3YBKUU3vVqKp44ZceFY7a7+NkUp99N2xq1Wq8DUYkrgiYr49gfX6A2DczkCcoMs6vbYr3uzNKlZa8Ay2VFarQLf/7Nz+GTAhtE5Hzob1bh80oTORg20KiljCYtnTtU90fOMznnxyYANI3M+WNJ+70mfZb/YK3uhUPZiLHU1aWBlcLxamnbe1oXc5+icFwaNFFZnCASfh0vHjbg1+HgeFQv5eOliE+P42C0KuU/K1qXqa6VHQpv1CoDH9j1/0cxLTzpuqbni9qMlOH0xRsdOIe9msbRHPra6R2o9YsLjj0GlFGNiD/t+u9fVahWokIgyxi7weD73hOP4ZMAGjz/GaM8c5Jy71bgthfG0l9iXI7jQbaQPCKj+W/KEoVLJtr5AmbOT8VHyzji/n/m0JButVoEHIw68dW06J73nhdNmeAIxVIgEGJhw4zvfOAmPh/nUrpjQahUHfp/t5iosOHKN1zqdHI+mPNCqJFjfIDNe3FqzHI8mPdArxRiZ9TFed3TOB683nONhZ/s9rUqCa/etqKrYnSG915NtoeN2OxTDeNhtyu2Z9vp59sNI2O2xW259DOz+Mw0v+PGjXwzlrF3numpwe9AOADDp5Ojt1KPVqNyT9tzLfiqmcUs9542BRZy26DFnD+ZsGEw6OXSqiqIdt/v5Tp1u1+Fa32LOhut0u471HrRyEV651AQiLarE4wlBKxdlpFdSteG0ctGOnyentIUjiGt9i4zR9zt6liIau9nsRk2xvRpLO2nrfBRynzlpfpvz6O9dasKDMTda61L1jp9kvO3GfQIpW9e5HMFqPJETNeTyRdHToWN0Ztbp5AVdv5jHbTpauQgvX2iE1RPGo0nPtsfLfs2FT/KuFXKPnzxYRK2OOZLTpJNjaGYZx1q0RbX2s83nsWic8T2k7JmDnnPzjdtytFe3A0HwcNqixy8/ya33+XuXmxj37YeJfOMj37gteWfcdmBLcYyuJhBbS6C6UoLvfONk2YR47wdsYgxyiYiuycF0sjc840VrXWWGbHs6bKpE57rY1YxG5nz7GjLOwcHBsdcsesK48dkSa3oKlSpwsl2H45xq6q5AEDzwCALvpdU2owzOp7prIK0Q4nSn4YDvsjjIrk+2HXEFprWaSq/crU3PdmoSPcmzFBvFXl/3INqabSws+2P41v/QBX1V8aSdU3W32OraKaUiRpVcuVRUlqliZm3xvpt7/a4RBA82TwTaKgljnytlIqgUFUWp6M2ULv/z69OM72Fig8SL5xtwql1XFP3KkYtAQMDlzS3xtba+AZc3CoGAQDy+wfJtDjaK0hk3MTExD+Dsbl93fCHAmHJidYXw/W+eRiJB7vZPlj0NBgW++3pPjsrZp6NO+INrONGqZTzZS6l8uXCexbnGtqiYtXJcvdKMCWsAHn8sQ83o+VPmsjNAODg4DjeelVWEY+vM/+aP4fnTZlQqRJz69y5Ckkksb26CDRopbS+srW8gQSaxQZIwFNHG/aBh2nDtJju97k7qwO31s+wXTI4nABiZ9xfNRnc/25oaC0x7gEV3GDVqaVH1N1V36/2+RcZoqFA0jjMWPSKriQxbGMlkUT3HblKs72b6u5Y+vnarfh9JJmFQS+D2x9DboaezjKg+j6yu45tf6jjQGodbQdWIA8A6J7t8UXzr9yxF1bccmSQSJObsqQAahVSIhhol5h1BhKLrmLMHOT/KDilKZ9xecaHbQDtx0lNO2swqbgBtE6aQ7FefbUmbRA24/mAJmioJhqaXGa9BKaRt97Sr1VSF927NQSYR0pLZ+yUrzsHBwbEfDC/4cW/EhUVXCCa9HK88cwTv3JjJWKtMOjni6wkcMWoP8E7LD4LgQSYRoqtZk2Mv2Fxh/OEX2g/6FouS3d5EPWmaJUkmtx19n/7dUiXbCZkuAnBvxIlgJF40UUXA/rQ1SSbz7gGKsb/rtHKcsxjwYMydc2DdalbhX96fAJBSNBye8QIA3nit50DudT8ppr6i3rVsoY2uZg14BG/XHIen2vX4aMCGeyMuAJl9/h9e6S5qR1z2PH6h24BFdyinXYr1PeTIxKiT4bTFgCVPCEvuVA3jWq0CS4c4ffdJOTTOuNE5b4YMeHrKCefE2R6FhGRTKQj9E27UGRR5FXW2m5Zi1snxl187UZTh6hwcHBxPyvCCHz98azBnvXr5UjPe+mgKQGpD1t6gglkr5+a+XWbeGcL1BzbGmjZiEYEWw+Eu4LwfjM55C079yrfhZSulUc52X7YTkqlUyMcDtqJJWd2K3XBoWN3hktwDWOpV+PYr3bg/6oLVGUK9QYGzXQZY6lWo18lpO/jpk9qysIOLLeptK6h3zaST57xjYiEfZzt2J+WywaDAMydNMGrlmLMH4ViO4OxRA3radLDUF69wHdN+kXrvbjy0058r9zm5XCDJJLqbqvHPvxnLGuse/NEXO0rq3S0mDo0z7pMBG2OqpEjAL/nFa78ptAYL5WSzesLoH81V1Dln0dMS93eGnRi3BtBuLuz0u1jD1Tk4ODiehHHbCj5lmWPty2G016sglwhx6UQtuorYCC9lbg46GNt/LZ7AC6caDuamDhGLnjA+7Ge22T58YMPzvSbUaeUFRc6VUx247UA5IQGwlwrZpTS6vWI3BCiA1Hj63YPS3QN01avQVa+CQEBg3hnE7SEn/vXaNNrrq3C+KzsrpTTZrb4+CM53GfDe7XnG8fXp6JO9Y9ntcr7LgM+fqgNB8Eoio4ttLRUJ+HjxfANG5nyHZk4uF0bnfYx9Ojrvw9kO3QHdVWlzKJxxBMHD8KyX8d+mbAHOobMNdlSDhaHwqqVJjU9Hnfjxb8agrUrVPVh0hbDg2F7hU67fODg4yoWBGS/uDDqwHMgt2g0ANlcYX77YBG2luKjTUkqZqUU/phaZ1zhPYBX1egW37hTATu0qqzuMH/96jP3fnSH846/G8MozLRnRo/ki5w7r4d3VK83wBdcwOsesWs9msxUDu1UUf6vxNL20UrRtkM2sPVjUohw7pdjFRraiXq+Am2XNHp3z4bdSISwN6m0/S6m2C/U+Of0x1rV0yraC//QnpzjRvRJDICAYVZyB1NosEBAl4SQuNg6FM44kkzDp5IwDqFYn5yaCbbDTGizpxvCCK4S/+UmarLUzU9a6FE5sOTg4OHYT23IYAxNuTC360dWsYUztrzcocLKFE2rYSx5OuqFVSRjbv72eq2mzFU8a4XJ3xAmXL8r6DmhVEgzPeHF/1JXzb1vZDoel79I38QqpEB0N6rylQoqR7ajgbnWdfOOpmNsgm91qk2Kj1J+LJJPoqFcx7jG1KgnevTmHd2/ObduJVmrtkj73dzWlovZrdTLG965Oz+29S5FEgoRJL2fsU5Nezjnidghx0DewH4hEfFoGPB2xMPV3kYjP8k0OJs5ZDIxtuVW+P3VacmfYSYsuGDRSWqp7NZ6gr0ud2HJwcHAcBpIEDzZXGKHoOmq1CsY59ozFcEB3dzggCB4mFgJQsNgL57q4mjb5oJxA79+zYsEZxPv3rPjBTx/A6g4X9H0q8n5tfQMVIgFjH1SIBFhb34DVGYJKKc65Bmc7pDbxQEoJOL5OQijg78hmOyiYMjAoe3HWvlJw/xYynkrlnSYIHpZXVnOeASjtMb9bfX3QsO2LZBUCep66O5J7gMAGQfAwsxSk90jpFGN/Z8/9DyY8cHhjqJSJGdtFLhUV3TNwbE1FhQANBiVjnzYYlKioOBQxXrvOoWi1eHwDoVicURI6FIsjHs+Vf+dgx6yT443Xe3B3uLAaLJkn5SoQBIGnjhkRW0tkqFotucNQKcVweqMldVrJwcHBsVMo1VSnN0KfOL5zYwYvX2qG3ROGzR2GSS9Hm1mFTnPVQd9u2dNcW4l55wqu9JgQjMZhc4ehrZJAWyVBA5eimpcnjeRIj7y/O+zAU901SGwkU32wabPdHXYASEWJMkXHHXbbgSB44PGIDCVgHg841anHeoKEyxdFe70KZzuLt0ZT+jjIVqnUqaSYd4Z2NJ7Sr2PSyWHSK2AugXR/yobOVoGlxnkpj/nd6uuDhqpN+emoC6NzPmhVEjQaK7HgWIFIwN+2uuq8MwS9Woq4ayOnz4uxv7Pnfn9wDQ0GJbwrMca9N5LJonsGjq2JxzdgdQfx0sWmx/apTg6jVg6rO8j5U3bIoXDGOf0xNNYo8W/XpgFkSkJfvdJSMvUiioHsMOT/6csWGFSSvJ9nUtI5Y9Hjwbg79ZlN1aEvXmjAb27Pb/vElus/Dg6OUmRw3oe3r8/A5YtibX0DBo2MjhR+66MpKKRCHKlTodVUBZUiNwqIY3cZnPPhvVuzkEmE8AfXAAB6tRQtpip4AzFuncnDTurJUt9L/3u6+umNh3ZcPmECAAzPeGk7Qizk41irNscZV8zRXvsBVQbk+oPFHFXH3g49VHIRmowK9I15kEwmARRvkXxqHPR26GmVSrGQj3hiA4PTHvzl104UdO/nuh6Pp9uDdoiFfOjVUlSI+AhG4kVvP2bb0OnKztTzlPqYZ+prIPWsg9MevPFab959RrFAleP5rVQIt38V792cpZ/F5YtCr45hoVO3Zb3XfH3eP+Yquv5mmvvX1jfA5xMQCQnc24wITN97v/Faz77fJ8fu0FmvwT//ZgwiIYGGGiWGZpbxYNyNP/pix0HfWslyKJxxows+WF0h/N6lJjh9Ucw7guhp18GolcMfWi3qhbiYYHKsfdhny1sHIfu0RCzkQ6UUI75O0ptOIDVxL/tjeO5UHU6150qBMxlMpay+xMHBcbh5OOvFyKwPR+qqYNYrkARwb9SJM50GJJGEzZU6cWw1V6G6SoLOOi4qbq9ZdIVhadQgniDRYFCCzydwd9iBRVcInz9Td9C3V9Rst54s2/pNRZjcH3djdM4HMknitMWAOftKRmTF9GIA3329B3cKjNCnKHbny05Ib8s6vRyXTtTi1iM7YmsJAI+VgMVCAm/+bgoAMG0LFHUxeLNOju++3oPf9duwvkHiQrcRq/EEAqE1dDVpMGMPFnTfZq0cV680Y94Zgs0VRk21DEatDB5/DCJh8UfnpNvQlP3sD64hsUHixfMNjPZyqdFgUOB/+6MefND3WPE2PUru798ZRkeDqmRs/K5GNd6zp9RVs6P9PuhLqUHne470NHN/cC31/q5vgMcDvvt6T9GJN7HN/XeHHXj1+VaYdArMLK3A4Y3g4jEjnuquKYl+5MiFJJMYdjCIPgAAIABJREFUXfDipYtN8K2sgscDtFVSqCsrMLrg5dRUd0jZO+OsnjCszhBIEvCurILcSKKzQY31xAbeuzmLN15n9s6Xo8H2pGw3BSX9tCR7QSIBXDpRi2v9i3Q7L7rD+N4fn8podzaDfScqQ1yfcnBwFAPjiwGsJ0g0m5S4O+SEXCpEnU6B80cNuPGZHc21lTjeqsXtwSW8cKqOM1z3AdtyBC5fJONvfAK40F2DBUcIDQYlEgmSW0eySG+P9Kg2CqbIna3W7waDAj2WGvj9EXz/v/Xj5kM77YigIuQaapT42jMtqNMWppJarod3bNkHX7zQALcvRqe2uQMx2L2Z47uYi8EDKZXKRVcY57pqMDDhxulOA7RVFfAF1xCOrkOrkqCrXrXldVpNVXjv1hxUigo4lsN4OOkBkD86pxjec8qGzrafu5o1UCkrGJUoi+G+CyW7hI1cIqLv/1xXDQanPXSUstUVypgjivk509VVzx+tQd9oZrRf/5iLda9CEDxUyitwolUL+3IkI0XV5g4zqnkXQ1swzf1CPoEjtZUw6+R4oTcV4XzQ98nxZKRq8ItB8ACxiAedSga3PwKCByhlYohEfC5VdQeUvTNueikAg0aGRXcIU4sh1OpkUMpEAC+Jrz57JKdeRLkabE/KTlJQ0k9LqPBqtlB7AOhsVOc44pgM9u++3rMtxyDXpxwcHMWC1R3GvCuEeUcIzuUI6msUaK6twi8+nsbVp5txb9gFvVqK6Oo6/vzqMW6u2ifGrH4AwPoGieVAKgJLJCRg0EhB8HiYdQRxd5hbRyjY1tU3XuvB3ZH80WpM6/f6BolJ2wp9TUuTGqfbdWgxKTFtSxXhd3qj9OfTo+0KccRt9/CuVGCzhazOECatftrGqtHIaCdUOvlSiA8akkyiq0kFtz+GLz3ViMQGiSVPBE5vFCa9HP3jbiglwi370KyT4y+/doIel0+fNLFGURaTvUjZ0CadnNF+PtvxOCqumO67ENicyJTjVaeWoNWsyqiTd2/UmTFHFPNzGjQyuLxRkMkk4/t5a9CBrz93JOPvVncYNwYdmF4MQKuSoE6vwN1hB4R8Aue6aiCXCAsKVjgItpr7i3F+4dg+iQQJY7UU4BGwecIYmbXBpJejVqeEUibk1FR3SFk74wiCBz7Bxy9vTGYsYgNCD772fCvaN4thCwQEEgmyYIOtWA2XvSRfCoqlUc36vXMWA+4MObAaTzAuSOkKqpdPmjL+nc3IHJ7zF+wYLGcjnIODo7SwusP4aMCGeyOZG6v7Iy68+kIbJq1+tJqr0FCjRFtdZdGlo5QrBMFDfJ3M6RexkI+XLjaiu6UaP/gJt45QbLWuUpErQO4mjO1g71xXDX5xfTrjmtf6FvHtV7px/cHW0Xb5eFJhiWIl3yGpxx+DTCLEajwBhVSI5lolHk56MlLfgP0p/l+Izcw2Xi4cNeLWkAMub4Tx/TRp5YWlq6aNS7Z7KUZ78XyXAe/dns87fovxvreC7Z1ciydw+YQRv0l7ZqqvX77UnDNHHPRzMo1bkkzieIsGwfAabK7HStLpacaTtkDevUp2wMJaPIEXTj3eIxVjnxfyjnGUNgTBA0EQ+Odfj2WM1QdjbvzRix1c3++QsnbGAcDUYoBxwp9aDKDeoMA//mYcTm8EliYNVtfWt1zwiuUU4iDIDkMmCB6e6q5BLL6Bv/5xH2ObpE5LevH37wwzXtPjj+HLF5tgaVChs1EDjydEX3t8IZCxeFG/+3DKg/Z6VUG1acrVCOfg4CgtbMthfPLIgcgq88HE1KIfoWgcV6+0AGSSc8TtIwTBg80dZuwXmzuCjY1c4/IwryNbrav5bCWmgz2xkM96YDcy69tRbTiKnQpLlAL5Dkm1KgmGZ7wQCfl447VeLAdXMxRWK0QCDEy497QYfCE2c3o0kKFahpZaJVpNVfTnDCoJYmsbrPPmrH0FRG/mQS7A7gDM19cj876cvx30e56e8pgNNX5Lzc7N904GwnFIJULG57F7wjmfP6jntLrDmLQFML0UhHM5gpa6KlzqrgGQmh/HFvyoNyigVUlh90ZwptOQkWbcUKPMuB5bH1IBC57AKp2iShA89I27irbP09+xUp5fOXIhCB6GZ72MY2941ku/Axzbo6ydcZSBzYTNHcYH96zg8wlUKcSpE8NqGS50G/Fgwo0quYh2AE1Y/XD6Y0V3CrHfZIchnz+ae5LN1CYGlQQdDSpYXaGca3Y2qvGF07mFsUkyiQvdBkxYAzly7k3GSpyz6PHxgC1jQsg+LS9nI5yDg6N0+P/Ze/OotrI0wfOnpw2BBAjQAgixGhmD7bCNt7DDEY4l98jIqoiqXLozq7J6uqvrZPeZ6ZMzpztrTnf11JnT1XVmeuZM1/R01empyMqsycrKqtwiIyMqI2MP7+EtDJjNrEKAJBACJBDanuYPWbIETxhsFgHv94+Nlqf73v3uvd/97rd8MuhjaGKeuWCY6RwbqzFPkE+fsmOvKNri1smIYoLJZfm0UkxMB4lE41lrUGrd6B2dQaXat6dCMx62rq5FV1p+sGcs1jLlz21w+Opz0rnh1rqGtzWs7fBuJ5IrT1+BRkU4GqeltoxINM5/+XHHCq+bb71yaNP015yeO984hv1+X456Aiu8ge70T3Gy1cKzR5NJ7lUqgfmFcE75mJheYHJmkfLy5H2MTQXpGp7hdv80jdXFKwyAyz2ZBEGB0xvkUqebnpEZyXG+nfqiKCZoqTXidK/Uny1lhbx13UnPqF/yu/mq565mRD4iUSU5hcsbxFiszQpXh62/z1we7pfuTHCy1cJHnyRT73h8i1jKCvmt80389IPBrM92Dfo4WF+Wls1cfTjlD2Es1tJSZ2TEHUgbty3lhZw5VJUlp5B8Fqlor+1kLYb4fJRNmdURBEWWt2cmLk8wPb/KrI9dbYwb9cxTW2mQNALVWPRo1UoudUymJ0jXVJCzhyo56jDh8gTTi7JSgA8/Gc/bU4itJNMN+Yfv3lvzM8mlMJ46IH0q6/QG+cn7gyuUx7OHKtOn4g/LTbPe6m4yMjIyG83tgWk8/hBzC2EKtCpMRl3ONcmg125DC2VEMUGN2SC54bWZ9KhVSi7cGU/n7knlOa0263nt8jALi1FOHdgbnvIPW1cvdU48VC+wm/V865VDfHR7HK8/RFVFEYJSITkupHLDrdXjKvWZRlsJ556o4mLHg43rekNd85WULnSxY5L++7mmUsYkrVrJk20WLndJe93cHZpZUwGERyFXXsDOoRneueFizBPAZjZwstXCgGsO39xSumpkTExws99D35ifT+75MBsLAaTnTbOBD2+P07bPTNeonw9vj6er7gZDMf70B7f4N//4KAmgf2yWwfF5ZuaXeOZoNcOT86gEgfdvulbompnjfLv1xVz6s0op8NMPhmhrLJecu7a73auR24gsYCkvlJxfbBY9N3u8K17f6vu83uvJ6am5sBRDp1VxvMXMUlTEPb2A0xOgvcWSZTjLnBN7RnyYSnWSfWgy6uh3+jlQX5Yzx15KTgFqrQb+1+/dpL7KsG3RWw8Lod3rUWY7maWlGDaLPqcOu7QU24ZW7Xx2tTHONbWIAtI5ySxlhahVAgBNtlLu3ne1TIVCNteUSuak+PIL++gbSYZMLp988/XkabPIvNf1eJ2tNbFzilwu2xqVMkuhf1h+grVWd5ORkZHZaHpH/SQUEIuLDIz5aag2UlSgWrGWaNVKDjaZaKsp3cbW7l0EQYGhUC3ZLwqFglt9Hl56qp7xqSBGgwZDoRpIGuoKNEqmZkK8+kYP/+QLLXsivDjnutpm4btv9Ep+Z7lecHfIR+egD2Oxltv9U7S3WCSf/3orseb6jFat5CvPN3O5c3Ldoa75jt2s52vP78PtD3Gpc5K7wzO8cNzO6VYLtRYDr66xTzYKKe9JrVrJuSPV/PLicEa/JHXs547XEInGicYSXLgzjssTxGio4ONuL/VVxdhMeuIJGJmcQ61SpqNWkuMTukf8XO4Yl/T+e/GpBu6OzuL2LXC928PxFjNmYyFvXXVSVVGEWiU8NJ/xdumLqb7J1J97RmcwleqyvPcKNNJrSj7rucv3BE3VJURicX7w635Ot1VK3k9VhZ6bZBvjtvI+k/myFEzPhUkkkr+tUQvsqyllMRxlMRRjNhDm5fNN/H2Gs0JKFp88WMnFOw8MZ6nx98FNV84+dNhLOXO4isudq4expsZDIpHAZNTx1jXntkVvrRY2Dez5KLOdjE6npq2hnJs9XvSFKtoaKugamia4GKO1oRydTk0oFN3uZu44dq0xThAUdA75+Ljbw2883Yjbt8DoZIDyUh02s56laAxLeSFnD1cRCicn0Fj8QdWbzFxlfaOzKFUCnztTx5Q/xOXOB6cb+XzytJEsP8l4ss26Jq+zTEVvrck9VwuDGRifW/H91a61XiOgjIyMzEbQPTDNQgLu3JvC5QlSX11KS30ZA64ZPnemjompBSanF6irKuZwUwVHGsu3u8l7Gn8wzMk2KwogsBhFoxJQqQQUCnj+hP1+FccQBVoVrzy7j0HXLFe73NRYDDRUFTM9G+LX11280G7b9etLznXVpF+zXtA7ml0h9UrXJKfbKonFRTwzixyoT1ZTXUsl1uWed7k+45tb4t9/8/iu1dmsRh0vn2vgt55pzPIm3OoIgczfFAQFp9sqicdF5hcikv0yGwjjmVmk1KDlN59pwuNfIB6PU1aiRaUUuDc+i0GnwVFbhssb5HCziVqLAffMApc6JjnRYuHiJxMrDBmWskLiCZEitYqK0gJePFvPax8NEY7GEQQFB5sq6ByYlryH2UCY3zzfRGAhwtVuN2ClzmrYEtmR8hyqsxqosxr4s5920jWYnbPpStcknzpZC4kEvaM7R8/N3BP8/QcDvHNjDHgwFyxFYkzNhrBbDCQS8POPBrNyr9mtBp4/tvnzbSqv4dD4HKcPWlEpFUxOhzjRaqGxuoSB8TmmZ5ewVuixW/SEo3Gi8eww0ZTMFWhVLIWT3kMOe9Ir9e6QjzFvMD1OIjERrVqgtaGcntEZekdnJdNbaNVKVILA+aM2IjGRWDzO9R4vZw5VYihUE1iMbnn01mr7t6GJOQA5ymwHE4+L9I/5+N0vtNA56GN4Yh5HbRkHG8vpc8o54x6VXW2Mc3mCnGqz8ov7iy+kclIoOXn/JEVQQNegj2Z7KZ6ZxbTikJlo02jQ0jEwzc0eDydbLWm34Hw/edoocp1Ef+uVQzm9zh6WwPlhbGSOF7nCj4yMzFbyzqVhooKCNy4O4ZlZJByNpytOff1zLfz1mz08sc/EP32pFf9CRPaI22ZEMUFdZTE6jRK3bzGdm8hWbsDrX8yq7FdjMfA3b/Vl6RQ3ejx88akGJn0L/OkPbvGv/9HRXb+xyLWuSnnNGQrVPP1EVfpvKQORKCa41DHB55+s4w9eaqW8XJ8u6JRiLXlgYXWv/b1AKsl7ql+2I0Ig9ZvtLRZu9HgwFmvRqJQrPpcs3hEnGotzs9dL16CPb3yuhe+/2UN7i4X3b7rS/6bHnDuZW+53Pt9C15CP8lJd2qgmCAqePFiJmEjg8gQZ9y6grjSgvp9HK2UkOd1WyUe3XTTbs/MZp/YACRJcujORDvv90x/c4ukjNhIJcVPD6nLp2+eP1aAUEpTotSuMGaKYICEm+PL5xh2r53YNPRibqblAq1ZysLGcF47b+A/fu0ksJqZft5QV8kK7bdM9kVP9EY2LvPxMEz9dlj7n47se2lssOD2BrP3l8vBRgJGJeT51vIa3rjmxlBVyeF8FA5PzVJYXMXY/v3lMFJmeDVFbaaDf6edKpxu1UkiGInseFLh78mAlJqOO8akFukdmsFsNVJmK+MLZOq7f9dJSV4ZapeTe2OyWyoQoJmhrMBKOxrIK7wE8sS93PsC9FmW2UykoUNJcU85f/bIHSOZ7vdnjTVdTLShQEonEH3IVmeXsWmNcLCbSaCshLiYkrfALSzHUSgGtVsWRZhMT0wtUm4s44jDz+oVs451WnZxcJ6YXWFiKUaBRcarVypOHKne9wg25T5m7h2ckT8fh0dyQu4d9vHfduWk5XuRJXkZGZrPpd80RE+CT/mQ4TWZC8OS86aOsWINKrWB6bonD9WXb3GKZiZkgJUUabvZ60/mmtGoVb388SmtDeZbHfK6qn+PTQe4O+TjqMO+pU/7l62qm19y9sVlOtVlxzyzyF6/dzTqYy2UgOr7fnHOtXm2jl3lQt5dzxeY6CP3ON45x5REr0j4KdrOeP/zGMd6+kTSi+efDKwwKmQffJmMhNZZibvZ5uTvsA2ApEkv/KzXm7tyb5lSrlboqA8HFKJFYXDLdTKooBIrkb97o8bAUiRFYjK4ID0y9v3wP0N5iYWp2ka5B36aG1eXSt1O/fbJ19XDunSjfmcb5zKikcDROeYmOmgppT9ytSAmQ6o9njtrw+BcfGiqatb9c1k+WMh0FWhXtLWYMhRoudkzg8gaxmfW88mwTr18YJnTfa2557sJMOT3dVomgIOuQKHOv2n7Awk8/GECtFHj5fNOWyoTTGyQUEdGolFm6j1op0FZvZH4hvGfn5t1C97CP9hZLltNSgUZF97CPT51YWdla5uHsWmMcwKk2Kz/4VZ/ke1P+EBWlOiKxCBPTQdy+RTwzi0SjYk7jnVatTH9veja0qclv84XVTqJ7R/185dmmFafjP8qosJoiHI1zsWOSrz2/T/Jaey3Hi4yMzO4ksBTl/33tbs6E4C5PkNMHq7CWF8mGuDxhZj7C997oWdFn545U05dR5W61qp8uT5Czh6vx+Bbw+hf39Cl/ymvOORXkT76f+2Bu+Qb7ybZkjrNcz221jV7mQd1ezRWby6vq5fONXOpw09Zg5J99sRWrUbcl7am1GBi7X3kvHI2vMChIGb2eP2Gnc2A6PdZWG3OT0wuUFKkZHJtDTIgUFaiz0s2kSOnwhkINkXgcS1lh+pq3+rycO1KNf34JfyBMIiH9/aVIMp1NqprnZhjcV9O3U8/iYsckX3m+Gd/c0q5KvXK61UooHGNh6cEGv6RIk/ao3Y4Il1R/aNVK6ioNvHfDJfm5VN+kQu5T+8TM17RqJbWVJbz20ZCkp2fK4JvpTZdp6EuF7gIoFBDL4WiyuBRj3BvgqcPVfHjbhXcmu/LsZrJ8/kmN6a8830yzrYQaU+5DmN0+N+8m9DqNZNGb88dkQ9yj8sjGOIfD8V0g54zY19f3e494XQH4f4DDQBj47/r6+gYeqZEiVFYUSVb9MBl1qJXJYg7++TCQPLUQ7yflXD7JpSZbs1GHSimkQ1p3u8K91nwjy3PBSNE/NovbH5JUBPdqjhcZGZndwyfDMwxNrJwrM5XqGoueuuoSOTQ1TxAEBR2DM1nFnFJeGf75JWyWBxXZl3v3ZGKtKMQ3G8IfCHPUkdu7ay9xJUcVz5QhI3ODPeIOcLnLzatv9LK/tpRnj9sx6TXp7z1so5dpjNiruWJz6VF9zmQBg1H3PO9cd21ZsvTlHk/DE3OcbLUQiSZDRTPHWqqtvtkQNRY9N3q8tDWW0zXoyznmzEYdkViCK53JjaG1vBDX/XC/5Uz5QyQAlaAAEljKCqmxGFiKxOgb9VNVUcSJViuX7kzk/H6zvZQLnyTf34ywutX0bZNRR9egD1FMcLlzkn//zePp7+wWUh6NgqCgxmJgbiHCn7/WRUutMe3huZX3m+qPREJkcHw+ZyX0VN9k/l1cpEWjEtColJiMOvQ6DcP3c6Yt9/RMrTvxuLhi/5lp6LvUMcEXzzZQoFVytcst2WbvfUNgkU6BVq2UzLO9Way2j7MfrQb27ty8m5hfjEjqS/OLke1u2o7lcTzjLgL/J/A/AUsb0xwAvgQU9PX1nXY4HKeA/wS8tN6LFBdruPaOhypTkaRLd1FB8tbjYrLc+plDVStcLjPLUNssejoHpqmxGlAKAh/3ePaMW+16TjIepkxc6pzk5XMNWa8/LA+MjIyMTL5z4940HQPTON0ByTVkyh/CUlbIoX1y1dR8Y8A1K6kDjHuDPH20mpv3PXiWe/ek0KqVFKiVjEwG2F9npK1+d3vMr4W15HdLjY0Rd+ChqS3WstHLZK/lil2LV5Xbt7jlydKXezyFwjFa6svoHZ1d4eEoigkmphd4/ngNN3q8FGiSenquMVdYoCISi6dfX81YbjLq0GnVlJVoKNCqsJn0/CQjisPpCXB3OBlmLvX9GoueaOyBN9Jm6f+59O0CjWrTf3s7yRzfK7wm3YFtq7h5utXK0MQ8o+55aswG6bk/o29S+8tGWzE/erufIp2arvtVozUqZZan5/JQbRE4d6Sad2+MpfvXWlFIz/BM+tr6QjUubzCnYdBuNRCLiwxPzGMs1tJkK90SWVnPfL/X5ubdxsTUgrS+NCV9ECLzcB7ZGNfX1/eXDodjH1Df19f3bzawTWeBX93/jasOh6P9US4iikkF224xcLLNSiwu4vIEqawowmbWo1IpUKkEfvreYE53+dTrlrJCasx61Eolr300hFopcPZQ5Z5xq13vScbpttzKxN3hmaxKX7C6Ac9m1jPqCWxJbggZGRmZR+HWoI9fXhzOKtaQGZoKyQOdJ5rNtDfJVVPzCZVKoL3FzOsXhtOnvZFYnIVQlBdO2NFplHzxqQacngCT0wugSPDFpxoYnpzD6w9RVVGEzWzgpx8McLTZRGNVyZ5fr1KbrLXmbrs7MrPiM5lGo/Vs9JazVzZ7a/GqSrHVydJTHk9atZKDTRX87INBAotRYGUYf31VMeFojC+ea2DME+D8MRvBUITzx2zML0ZweYNUlhdhNGjpHfEjJh7cw2rG8qKCZEVVpVLBtD+EQrGyqmMkKt7PF7ny+5UVRfzy0kj6783S/zP17d5RP6bSArT3jZWb/dvbReb4Xi0vZ+Z8sFWyazfreelcA+/fdGWEiiYY8yQNYg1VJUz4gtgtBioriqgyFbEUjnHh1jhnDlXiD0TQqBaoMhVRoFFys9dLfWMxTk9Acu9pKFTz2dN1vPOxE4CKEh0t9eXYLXoUCgUffTKOoEh6DkrJaY1Zj5iAaEzE61/EWr41IemPUrV5r8zNu40TrRZe+3AISHo3p9aWl55uWO1rMqvwuDnj/gh4YfmLDoejtq+vb/QRr1kMzGX8HXc4HKq+vr6Y1IeNxkJUEhWaAKpNei53JidPAQUtdUb0hWqqTUX0jswwOD7P00eqCCyunPijcRFreSHH9ptxeYMMTwYoKUqGTISjcbQaFcdat7+Er8lk2LLfWev9mkwGXnmuid4RfzoZdurk8zOnaikvX7lRefa4XdKAl0jAf/j+Tf74909zoH73bGJXk9vHYavkYSvZbfe00+9nM2R3Jz+Tt66OcLtPulhDKjQV4Eizic+crtvGlj4+O7mfVpNbt29xhYd8tV2PSiWgUiqYCSyxr6aUyvJCJqYXGPMEKCrQcLCxEBIJ3DMLaNVK6qtKuH1vis+d3X6ldDv6qnvYx4e3XNwdnqG1vozDzWbJdf3Z4zWYTIb051OhiMu9Sfuc/vR9tDaUSW70DtSXSeoUu4m1zrm5nnd9VQk3e73p19b7zB5Hln780VDW2OocmKbZbszq69Rc+ewxG9G4yIVPJjEZdZTqtUz4FpiaWeB3PtdKTBQZdc/x3g0XdZUliAkRa4U+y0MoZTBJJBLJ5PgWPfvtRpaiMQq1KhaXYljKCxkcn1tZLKC0gBvd3qzk5Cn99UaPl7b6MsxlhTx91PZY+ujDnmemvt0z4uODmy7sFgMH6sse+7e3kvXoCqnxvVqOwF6nn1/fdHGly03rOp7F486F3R8NpY28apWAmEgQicXpGvRxs9ebru5qNGh452MnRxxmDjaXMzMXQaVU8MzRKvSFWiZ9CxgNBZQUaTEUqrOMjplecp0D07S3mKm1FjPg8qNWqXjj0ghHHWam/CEO76vgZp+X50/YmQuEWQzH0KgEKk1F3OjxUl9l4FBTOQ3VJVzucPPlF/Y/1v2v9Rnm2sdVGAuYCkZ2jdzuZD1oI/D4FiULOHhmFtFqtZhM2u1u4rbyKPLxWMa4vr6+sMPh+D8cDsd0X1/fVQCHw/EHwL8Fqlb/dk7mgcw7EXIZ4gD8funklMXFGkqKNOmNUCgaw+kJUG0uYiEUIxwVObSvgjF3AK/ExH+6rZJfXhzOmYT73tgsPl9wWy37JpOBqamVbsr5wL6qEn7x0VDaRTt1Knpiv1myzSa9hj/+/dO8fmEIpzuAyaijqEDFgCtpl33v+lhW/pjNZrMn21xy+zjkszw8Krvtnjb7frZCSdho2d3JfXy9f5pXX89drGHKH+K54zXUVxVzrKlix94nbG4/bafcFhSocLqlvRS6Bn1888UWItE407Mh5hbCuH2LmMp0aBIiopjgdv8U/vkwX/2Ug5HJeSamF/akbrCieMDkPO/fdPGtVw5xd2gmy6vepNdw8+6kZA64TG9Sh92Yvo8T+828e31sxUZvuU6Rq5roZpFPc27HPWlD0ujkXNqLZjU9TIrHkSVBUHB3aGbV6JNUX0/Nhpjyh3B6AumcYbPBMPOBCKcOVnGpc4LRyQA1FgOfPlnHUjRGv9PPsZbs6qKimOBGj4dTbZVEYnE8vkVcniAH6stQGgXGvEEaq4spKy5gzBPA7VtMbyZ1WiXzi1EudUykDXUp/fX54zX84xeaH6QdeMRnst7nWVGk4ZVzDQgZESWp7z+Oh1g+yS08GN+rhhqXFPCzDwYJR+OMTs7z7vWxh4auPu5cmJLhMW+AV57dx9XOpIdiqjADkPaGBzAbCzHqNVSUFDI9G04WMFEoUCqSOTHPHKxifjHMuSM2Ogem09eQGiM3epLj+UaPh5OtFhaWYgiCgrrKYhKJBPG4SDwhMj0bwlxWiFIQKDVoGByfp39sDptZz76a0sdeC9b6DE16Dd/5+jEudkzSPzabnn9++Ot+fvw+1XPMAAAgAElEQVTuQLqvHneO3s792U7WVzeC4mINOq0qZwGHcDjM/PzezR23mnysJrcbUU3194DvOhyOXwBHgRBw6jGudwl4Efi7+znjOh/lIktLcULhKJ8/U8/rF4Yky5S/87GTZ9trSNx/PcVqbtIpT4fdmLNhoxAEBXaznm9/5ci6knQeqC/nv/28i5gootdpCIYiqJQCbY3lKPZAsQwZGZmdw+3hGToHp1ddJ2qtBppqSnlCrpqat0QicZprS7MSyacIR+Pc6p2ivKSA926sVD4/f6Yu/b2ekRk06mQKi724TknldAuFY9wdmuHL5xtXrN+5csBlepNmhuM9LF2GICgY9Tw899xuRRAU9IzMposlZBqS7FYDBxvLKS/RbWmydFFM0NZgxD0TWrWvw9E4NnMyL7O1vJD9tWVc6Ux6F585VMWbl0aWGSmUnGyzcqqtEkEBpw9WEonG07m0CjQqLtwZRxQTHNtvpmvQR2VFEYvhGCqlwGI4nj5szwxL//SpWlRKId2mzEqYleVF2zaul4+drTY4bwWZ41shKCRDMLUZudkgO3R1sxDFBC11pdRVFuPyBPDMLOY0FjbZSjEUqSku1PDd17tXrBcnD1j58LaLc09U8dFtF812Y/q91facALF4gsryQmqtBumKrJ4AnQPTvPR0I2p1gJs9XipKC3jh+NZWuLSb9Wg1QtpzMF2cRUz2lSDAq2/0pFN67KU5ercQuF/AIZNwNE4gFN2mFu18HtsY19fXd9HhcPxn4H8j6dX2Yl9fn/MxLvkz4AWHw3EZUADffJSLiGKCYy0WPlrmMgtJoUmQoLW+nNt9UxxrMWdNGqu5SaeScO+2nA0bgZSCIKWEr0ZjdTHBUIyr98O84MFCdqrFLE/WMjIy286NgWlcniBOt/QJWGqdONhUQVnR1nn0yqwfUUxw9lAVr77eLfm+27dIWXGBpB7hnnlwgj45vUAkFufjux6abaV7aq1ab063hxUb+OJTDbQfsGR5w6cO+ZbnjMrUO2xmPe0tlqxQ160uWLBdZOZsyjQkAbTUlvHV55q2xZh05mAVf/7zLsn3UoUl/PNh6qzFRKNxLGWFzATCaUNZLiPFYijKtS43gqDg7OEqTMYCXN5gli6fmVw/NT4XQlEONVVIhqXHxQQf3ZmgvcVCOBLDe9+70FSqwzOzsOUHwlI6NbBrDc6Z4/tUizlteN9fawQU/PrjldmPtiL/4YH6cn783gAgnZdQEBScPVRJOBpjoG+WanOR5DyUMj5f7EiGUlvLC9PFHVbbcxqLtbi8Qab8IarMRcDKiqyp33B5AjhqS7ndN4XXH6LWbNhSmRUEBV1D/qz5B6BAq6LEoOX920lP2OUpPfbCHL1bGMtRsXpMwkAtszYe2xjncDg+AOJAG1AH/NDhcLze19f37Ue5Xl9fnwj888dtlygmiEZjeGelJziXJ0gkllRYXFNBzh6qJJGAUXeAqooi1GohZ6WaF9ptez5B83JWhKg8ooLwZJuVX14ekVxk5MlaRkZmu7lxb5q//MVdLGW6FfmKUtjMek60WtEoFfKctQMoLEjQUF0s2ZfWikLujUkbjlyeYLpKZSpJ/l5cq9abvHu1zx+oL+OzJ2rS4R6reQFJ6R3Lwx9h6wsWbBepSpxA2siVfN2ybfduNepoqimVHFuVFUUogHNPGPjZh4McdZjpGHhQaGI1I4V3NsQzx6rpGfYTjsapKNbxzNFqBsbncHmCWbmK4UERC2OxljFPMGdY+rkj1bz9sROtWslTT1Rx7a4brVqJqbRgyw1xy2X7cuckJw5Yd71+LIqJFYb3H70/IPn8tyJK6e6QL8sjLpWXMGXIPdFqSRcAAukwbMiuanypY4InD1XyT19qpWfUT2AxmrMKcCqnps2s53bf1KrjwuUN4vIGOXu4ilA4tuXjfvncnsqFlyDB1c5kLsgai4ErXZOolUL6Ge2VOXo3YC0vkjyIriwv2obW7A6EDbjGT/r6+p7r6+sb6evr+4BkqGrBBlz3sRDFBNNzYRqqSyTfNxl1aUVFFBN89MkECkFBoU7J7f4pigrU6VCJFFq1kuePyYY4KXKFnFzv9SIIiod+P/UZtUqJZ0Z6kUlN1jIyMjLbQf/4PJ33DS6emRDVpiLJdaK20oCaBPtrSreppTLrwVxsoLWhXLIvC9RKSg3SCYnN9/WIVLXG1Bq4F9eq061WyeeXK4og1+dPHXjw+ZRB4q1rTkbd87x1zcmf/PVNnPdP5tcS6gpbs2HPB+xmPd965RDtLRaKCtQ8f8LOv/ztw9tupDl3uFKyr4uLNNwd9jE4PocoJliKxPDMJA3bAP75cPr/y7GZ9ITDIqfarNSY9Vzv8aBSCjzZlix80DXo41LHBKKYyPKQ88+HsVkMOT2L/PNLaa+nfucsRkMBNouBI/tMm/BkcrNctrVqJXWVxTkPBnbjnJNpnFnv/LKRbegdnc3yiBPFBJc6Juga9KFWCXh8i2uah6wVhel9p1atpK2hnE/uTePxLXC8xSy9/miSPjN6nQZ/IEy1uWjVcWEy6vDMLDIbWKJUr9kWmcjsq5TR+3LHJE5PgJu9Xm70eDjdVimnftqh2C16SVmtsci2kUdlI8JU/2zZ30HgW4973cdFEBQMjc9TqJMuc16wLPcAwMjkPCVFGsLROL65ECdbLcTEBC5PkLqqYp49Ur3tSk0+IhVykjoNmZpb4o9evZ4zr0Xmqfe+mhJi8QSWMp3kCZE8WcvIyGwXTm+QXucMo5PJE99wNM6UP5ROrJxKmF5UoKLCUEBLnZwnbicxNDnDN19spePeFC5vkMqKIlRKIR1SJKVH2CwGEoCpVEdHRjLuvbhWPSyn26N8/kLHZE4voDqrYdVQ15QHylZs2PMFpzfIf/1pJ0cdZkoNWjoHpnH7FpK522qN29Yuu0nPVz/VTO/oLBNTD7zW3r0xhtmoS/fXlD+0IgxweUggJMdeU00J/aOzjE8tEInG8AfCqFUCP/9wiE+dtDPgmmVofH6Fh1w4GqfJVsIHN12SbfVmyI7NoudgYwVVZbotPYTP1Kkzq2zOBsJUm6W9sXfTnJPLG3Y988tGkenptdwjzmbRY7cYuNwxKfnd5fNQjdmA27dIrcVAc20pP3y7n8BChM89WYe5tICvfdpB/9gsY+4ANoueuvvVVNtbLNxz+bGWFWG+b4TLNS5Se1vPTIjyUmmD3WaT6qvrvV6m55ZWNVTKqZ92HguhqKTeuyDnjHtkNqKAQ94yOb2AayrIK8/uY9wbYMwbxGbSY60o4ucfDq74vM2kp3NwGq1aiUat4tpdD196upEirYpqk+x+mQupkJPlIQBSYau5QkxefKqBjgHfikXmdKtFdmOWkZHZclJzFZCVvPlyZ1I5VysFKkp1lOq1tNaX8cKpuj1dcWunIYoJLMZivvv6XQAsZYUoIB1itHwTZi7TUVdZwo1uN5P3qzH65paArfHWyFekcro96ufvjflX9QKanFnEZtZLhrrarQY8M4scbjJtacGC7ebKXTdHHWbJ8MvtzilWUaqDET/PHa/hx+/dI7CY3LilqmemQvGWhwGOe4O8+FQ9Xn+IkYl5bBY9NpOe9667mJpNGu/sFgMnDlg4ud9MZXkhf/L95Fz9mdO1vHdjLP1bkByf496ksWO1sECtWondYuDta07+3e+2b6nemalTL9elreVFkkaY3TLnPCzlzXrml40iFf4djsbTlXYtZYWUGTSMTCQNvrnSVXhmFmnfb6atsRxRFHHUlHKr38uFO8m1RatW8vRRG3f6vfzk/eS+1Fis5WaPl5s9Xk62Wvjok+Rv2s0GfHMh2lssRKIxzh+zMb8QweUNYrPoUQkKLt43DJqNOkwlum3bL9nNeuqsBv7o1euS76cMlXLqp51FLAYLS1HiImm9V60UiIuwGI4Ri213C3cmu9YYJ4qJdJ6KH793jy8/v4/yEh2XOsYp0qlRKwXC4koXcBRQXKghsBjhxaca+OWlYT57uo7v/6oPtVLYdoUmX8lcrFZLupuZ1yJXiMnwxByn2ioJhiJM+UNUVhRx7okqrna7+e6bvcmTsjYrdnnylpGR2WTGpoK8k1G1LPNEOhWuYihU82x7DXazgScay7e5xTLrRRAU9AzPZBkwaiwGyX4+d8TGR7ddFGhUjLiTuYHqq4qZnl1if+3WeGvkO6ttAKU20lKf/+DmWM5NbpOthP/w/RscajJJGiaeP2ajzrq1icu3G7c/xIBrjlKDVlKvutq9fTnFnN4g/+XHHXz+TD1/9+49Pnu6jompZG4rm1nPgYakMS5zbs00eigFgTv3pvjKC838zVt9KzyRzEYdJ9qSxQ2udD3QK1+/OLzCk0lQKCgr0RGPi5KyYyrVcbi5ggK1kr979x4vHLdvixydbrVyuXNyhS6dMlQqFMn8YA67kdNtll2jD+faF2TK71b3R6ZXXs/ITNrb8s0rTk63VaJRC5KyVGrQUlZcgLFYy4/euUc4Gud0WyV1lSUUFYSwmfWcbrNyoL6cn74/kP5+ZvGDWDxBY3UJlvJCqiv0eGYWuHbXAySNdguhKEZDARqVkg9uudK/3VBdQmNV8RY+pZWslhvUZNTR7/Rz8oBFNsTtIJaWoljLi3jtwyEgOzfpl55uZGlJ9o57FHatMQ6SeSou3ZkgHI3zo3fu8VvP7ePZY3ZcU4HkicJiJK0MOOxGZuZDGHRqinQqRibnUSgUHHOY+OkHycShqdLMe13RliJzsfLNhfDmSC6amdditRCT8akg/vkwxmItRr2GP/9ZZ/p0M3VS9vL5xj1XtU5GRmbrcHqDvPpGT9ZrK0JVzHpsFj2mYh1HmmRD3E5EEBRMTi9kvZbq51hcZNK3gM2sTx7ULYT59KlabnR7ObbfTFGBCptJzxd+r3ZPGX/Wy2qFGJYjCAruDPiwmfTS4cFmPe9cj64Yi3argeeP2bCb9XuqL5zeIP/pb29zstVKv1Nar+od3b4E6VfuugmFY/z0gwHOHqrE6ZlnPhjh7OEq9ttLmF+I8vkzdUxML3D+mI3AYoQxb5BaiwFDkYbJ6QVePFvPbDBCJCpmXVurVnLuSDUtdeX4fMEsvTJlRNeqlbQ2luOwl/I3b/UTjYuce6Ka33imkZGJeSamF6ix6KmxGPjo9ji++6F12+lxltSp21dUok3d076aUv7Fy4d4/9YY332j96FjaiewWpXl7uEZ/qFQTWtd2bbcY8orb8Bt5s/+7pP0fuRK1yRPHa7kxafqGfMEmZxeoL66GEGhoHtohq9/dj/f/4ceQuGky1BKHo3FWrz+EAfrk+kslq8/KVxTQZ4/buPCJ5MoBQVVpiK++FQDTk+AyekFmh1GbGY9Ts88dqsBm0lPXaUhb/ZGmY4aKbRqJXargQKNirvDM7RuYwi9zPpQqQQ+vuuhvcWSXndTlXGv3XXz4pO1RCLxh19IJotdbYyrsxh48akGRibm8PpDDLlmaagupby4gFgsgblUyzGHmaGJWQw6NW7fAn3OWdoayjjUZOIXF4dYCmf7XMoVX3KT6UL+w3fv5cxrAQ8/MUlVpfPPhykrKcgKM4DkSVmfc5bXLw7z7a8cyYtFR0ZGZnfxUcdEVhU1yN7gfeZ0LVUVhei06m3NySTzeMRiIrWVhqw1K9XPz7XX8KWnG3BPLzAxvcj+WiNOT4CykgJK9Vqe2FdBa+3uyde0Gay32rooJmitL+NXV0ezjG0mow6H3Zj2jBLFBDd6PFjKdIACz8zinvOIg6SxK7AYJRpL5PQm3K6cYpkGllSxtJQx4nqPh0+12xDFBIZCNRqVkhH3PDWWIr783D6KdWoguQH8969eZ2hiLkserBWFmEp1HLpv0MilV4ajcQTgzcsj/MHLB7nZO8XQxByJRIL6qhIaqotx1JSSIBk2u5U5yVbDatTRUmeU7M9ai4H/5dVrKw6pd3L0TrL/jDn3Bb+4MMwvLgxv6z02WQ3805fauN7tYdQdoL66mMryIm73TXF4XzlHmk28f9NFfVUxv/u5/SgUyRDt0Yzqk+FoHLdvkU+fNKXHZK6KwzazHt/sEv/2d9r547+6wYX748dm1lNRWsDdoWmCoShffraRyrIiRDGRV/Of3aznO984xj9cdTI5vYDZqMNYXMCvrowSCseoqyyW99Q7CFFMUGPRp+XQWKxN79fPHamW+/ER2dXGOFFMoFAkDWhFOjUdAz6u93gxFKr52qf3c9JhQqUSOHI/rOiJxnKE8w/KaC83xMHuSpK6WYhigtNt0qch5SXadEGH1oZyyc847EZ8c0tp9/vvvdkn+TtT/hBFOrXsrSgjI7PhjPsXGRiby5lEHKCoQI1arZINcTscQVBQpNNIemGp1Uou3Zmk/74ecb3bw2dO2fkffusQsZi4ylVlUuQKPVtt7X76qI13r49leZL0O/28+GQdvrkQA+Nzkoa6vaafZRq7LtwZ5zefaUpvjlIkKzeWbcumV8pAljJGHG56YIyoMempMWXnA0v9G4nEaawuZsA1myUPd/qneeaoLeuecnni1FgNaDUqekf8fPMzDlQqgVhMXPFM7Oe3PifZauS6H3OZTvKQeqfqwynPWYVCOuQzs+jedt9jW62RtlpjWoYAPnO8Ji0zp1rM6f//6P2BnMUWMr0uMyO5Mj8jKBTcvjfNqVYrTbbkGAhH4wyOz6U/175fh6lYl7frkd2kp6JEy6j7QTX6FHtxzt7JJI1xD1J4pEKqUwZiuS8fjV1tjBMEBcHFCEeaTSwsxdColFgrCinUqnG6A5xuMa+YvDLLaEstgLslSepmkVpQ+51zvHy+Ee9MUmluqi4hEovzt+/cQxQTjLrn+eiTCb71yiHuDs3Q5/RzoL6ME/vN2M369GkpQLO9hOHJuRW/lfKgk70VZWRkNgqnN8ilrknmghFqK4vTCcWfPFiJmEhW166qKKKxpoQyQwFP1MtVU3cD/sAS7S0WwpEYXn8Is1GHVqMisBimraGc2/1TBBajaNVKjuwz5e3GJ99YLfRstbX7QH15zuqJGnU10ZjIpYxqq6lCBc22kh1pjHhUMo1dophIh4IuReO4pxfTxUY++mScv39/gJZa45aHM65Hn86lx2VeI7UJlLpGyhPn3RsuRt2BdKW/a11uAosRzhyuRhAU6fEr9Xv5pEtKVhFd5ZB6J+rDmZ6zOq2Kc0eqmQ0s4fGHMJVmV8OF/LnHzDUgsy2p/6fmvjFvYMXBgclYmOXFazfpefl8I/3O2az153LnJMdbLLx2YZj2AxZ0tyfSIa+wc/alx/dbeOe6S95T73AEQcHwxBwvPtWQlfezyqRnZGIOIcMoLbN2drUxThQTBBajXO6c5KnD1RgNWlzeIEa9llKDdlWB2a4y2juZ5aEow5NzGArVfOfr7VzqnOCdG2NZnw+FY/SN+vnqc00AlJfr0xUI13LSmTopk09WZGRkNoLkYcIkSqWAb24JS3kh556o4mLHJBfvPAgPObLfRGmhln3V25sgWWZjEMUEjVXFWdXsOgd9AJxstfC3b/fz2dO1xGIJWQ9YJ7lCB7VqJcdbLA/VwzKrJzq9QX70/gC9o7PYzHraWyxc6ZpMX2MnewY9Dpk6UioUNFVsJLgY5fULQw+Mlu7AloczPq4+LQiKdV3DbtKjVArERBG9TkMwFEGnVXGgvozSIs2O0xeXjwNBUHCgvlTykHon6sNX7rqJxkXOHKpiKZLcF9gtBr54toEfvdvHlH8p6/M75R5FMcGJA2bcvoUsj86uQR/PHF1Z6bTZVsrrF4cp0qnTHmRatRKVUuBSxwS3+6f4F68couu+A8NO2JemZFbeU+8OYjGR/bVGBl1zaFRK2lvMzMyF8c4s4Kg1yoeUj8iuNsYJggKnJ3ki8XG3mxMHrNRVFuOfDzMXjHCrpICjq1S+264y2jsVqVCUwGKUj+5MMODKVhoEQcHptkqm5pbSYavPHrdj0mtWXDc1iV/smKR/bJaqiiLKS3W8e2NMPlmRkZHZMHzBMJUVem72eik1aFGg4HqPl998ppGP73rSXhZFGpVsiNtlNNeUcvpgJZFoHJc3yMlWK9byQsY8AdrvG42+fL5xu5u5I8k0FhVoVTzXXoNvNsS1bjfzC+EsT610oQfnLPvtD5LSS+Wd06qVPHW4mj7nDP758P1csvnhNbOVpHSk671ePDOLaDVJ1f69G2McqC9bd4jwZrVxvfq00xvkeq8H90wIa5mO4/stfPl840OvIQgKhibmqK8s4eNuN0cdZkoNMDyRNAh3j81yoKZ0Q+5rKxlxB9JFUBptJemDotSz2In6cMp77HRbJTd6PETjIqfbKglFYvziwhDN9jIO1Ancc/nxzSaNcjvhHlPzWM+oP53g/krXZE6PTkiOkW9/9Qi/uuZEo1pIV2292efFWl6Ifz7M3eGZNY2B7SZXwR67WZ8V3iuzs1CpBBYlUngBLIZjct8+IrvaGCeKCQ42lOH1h/jCmXompoN0D89RZSqi2qSnc2CKApXAgYfk+8nnCS9fWC0UpXfUz/EWMwOuB++nFt61JHROnYp+7fl99IzNcqXLTefANMccZk7KJysyMjIbwCeDPm72eXF5gtgsepprjPzkgwGOOsy4PEFa6oyEInFOtJg5YJdzxO027CY9zTUlTPoWKC7SMDUb4mqX+74BVgCFIu83QPlKyljU75pj1BOgc2Aak1FHjdnA29fH0ms/kG1wm5zncuck3/l6O9d7PVlGJUFQ0N5iIRJLpiBJbXgNheo920exuMjU7BI1Fj2JBBgNWqYeUtl+O3LIrQWnN8gHn0ywuBRN38N7t1w8e9T2UJ0vpfu7Z0IcdZi51edNG+T6nbP4A2FEMbGjcn3mMkZ/7VPNXLwzuWM9jUQxQVuDEfdMiHA0zplDVem9gSAoqLEYCIYiqASB9hbLjtD5l/eV0x1Aq1byqZO1JMTVvavtJj11VgORqEj38AxHHWZa68vSVSt3wjokJatX77r5Zy+10TEwvaaK2jL5SdIzFxqqS+kf83Ojx5vWl8OxaF7LZT6zq41xAGcOVnGxc5JfZLrpe5IT40vnGhibDj7UGCfzcFarjuqwG2mrL+MX9xM+atVKliKxh57WLj9ZaW0o57/8uCOrH2/0eHZ09SgZGZntpWvUj2sqyGsfZq8RN3u8fPVTDjoHp5kNhBETCc4dqd6RHhUya8NmKmImEObX14ZX6AtffKpBVjQfk5+8P7DiuZ5uq+RSxwTXe73E4mL6/ZT3/FIkxp//vIvKiiLOHKpKh6UuP9BLXe9brxzatvvbLnIZak62WlhYiuVVddW14vQGudI5uaJ/bWbDmvS9Mwer+MtfdlNqgKMO8wpZ6Rr07SjdMVcRlJHJAN/8/H5qKnbGfUhx5mAVf/7zrhV7A6kxvhN0/gsZuSxThKNxSKzNu7ql1sg915yk3GrVSk61mPP6/jNlNTWPm8t0/Oe/u7Pmitoy+UtRgYa/frN3hb789c/t3+aW7VyE7W7AZmM16giGoivyjRmLtTjdARJi0u1S5vE53WpFq1ZmvZZyx64xJU/GP32yloON5Q89rXX7Q/zZT+5wZ2Aat2+BD26N89Ht8ZwGPBkZGZn1cnfUz/fe7GZmbmnFe+FonP4xP5FonINN5bIhbg9gNxsY8wTT64yhUM3BxnI0agGnJ4AgKLa5hTuX1AZNq1ZiLS9MV2NbisTQqpV4ZhazvOtTG/GbvV6cngDX7rq50ePhdFvlqgd6d4dmtvrWtp3lhpqUjisIApUVRTn1snzF5QsyJmFATFWRXMs4tBp1HNpXwWwgnFNWrnbvDN1RKvIkNY4mpxf4y9d7cHqD29S6x8dq1NFUU4qx+IEn58MO7fMVtz/EyOR8eo7LpHfUvybZrTHpOX/MRnjZ/afG9fVe74a3e6NIyWpKPp86XE3HwBROd2DH9aXMSlQqgf7RWcm1vN85K9tTHpFd7xknCApGJ+fT/8+saCMCKqWQ16eDO4mHJejMzBnyw3fvrTitFQQFTx6s5G/fuwcoaLYbGfcu0NZYTllxAfec66/IJiMjIyPF2FSQUU+AxupS+p2zWXldUnOJyxPkuXYbdVYDNSb59HYvMDm9gEol8KVzjYxPBdJrUH1lyXY3bcciCAr6nXPpBO2pkKsCjYpxbxBjsRZLWSHlJQVpr65cG/GlSAxLWWHehV9uF5mGmuU67mI4xrNHq2lvNu2YxOlOb5B3b7kYnQxIzsmTvoU1X+uJxnICCxH6c+iOKeNIvstKZuTJ8j42l+lQKwWudu/swiXnDlVyvdtNtV2P0xPIMswtJ5/HePfoDOYyHeNecYX8rscbta3WyN+9ew9YOa6n5pZwTgWx56FOIooJzhyy0uecZcofIhKLcaqtUt6/7SKc7oDkWu6cXHmAIrM2dr0xLrmIlTHqDki6PN/pn6K5piQvJ7WdyFqS9IpiQrJC6tlDlfzk/QHaWyySrtmfO1PHSI4wWHkil5GRWStOb5Cr3R7ev+nKGTYHYLPoKSkukA1xe4gaq4ETrdbsCpSeALd6p7CWF+6oPFP5gigmOH3Qwk/eH5Rc19/52Mnx/WYAPrg1vupGfGo2RFVFEUqlsCPDLzeaTENNLh33O18/tmOSvmfl2pKYk5tr1t6/NSY9TzSb8AfCO15WUjpzLv34fHtN3vfvatjNer79lSP0u+boGvThnw/T1li+o/rNORXk79+VDsVPevWu3RtVFBO01BpxrrJ3zccQT6c3mHOel/dvOx9RTHC0xcwbF1em8vjC2Xq5Lx+RPeFPeLrVgqFQndtVXXaT3XAeNiDtZj1/9Hsn+PyTddRVFvP5J+vQ3K8AthRJVmrJdPMOR+P45pYwFKqzrpPv4RYyMjL5hWs6yJVuN/5AOKfnjVatRKtWcrjJxCHZ+LJnEMUEjpoSJqYehKqmQjEAPt4hYW2bxeOE6XruJ2jPJByNMzO3xP/41SPYzRhNwGAAACAASURBVMnE5X/4jWO07zdjrSiSvE5LbRn//KVWXmi37bjwy83idKs1S8ddHj6UCgXL542SIChy5kXLnJPPHrSu67oHakp5+ki1tKyswziy3djNev7wG8dIkJB8RsHFSF7371qwm/U8f7Sa73zjGM8ctUmGeubzGL/SJS2/iUSC335u37qdPpaPa8hejy52Tm5Mwx+TzHUh1xj2zCzK+7ddQCwmMu2XXsunZkNyJdVHZNd7xkFygv9XXz3KX/2yW/L97pEZ3rqhpsVelnenDDuZXKd0ywsz/O7n9lNnMfBH371OeUkBplIdbffzymW6eY9MzPP7XzpI15CP3tH8D7eQkZHJLzqHZ5hbjAAKJqelw52m/CE+fboWu8XA0cbyrW2gzLZzxGHhneuuFaFBbY3l6HVqZoIRyvSa7W7mlrJ8zV5vFTxBUDDgmpN8b9QdQK1S8qP3B+gZ9VNjNlCi13CwsYw7/VMrciadbrUgiomHpsXYS9jNev7lbz/B3/yqTzJ8qM/px+0PYTXqtrupK0jJ1sxcGM/souRnpvwhzj1RxcGmikfq37ZaI9/5+jGudnvoHfXTVF2CuUzH997so9lesiOqOgqCglqLgfEcueHG7ue03OkGOUhWFKUVrnZ7OH+shmAowpgnyP7a/B3jbn+InhG/5Hsub5AvPFm37msm57h2/vznXZLrkUopMOAO0GQ1PGbrH43l68LTT1SvyG2YwuUJcu6IDbdvgSl/iOaaUs4eqszLvpTJjUajZGRypYcjwMjkPBqNkkgkLvm+TG72hDEO4PgBK5fuTEi6PNtMevQ6LX/6g1v86390VJ4cHpPVFHepql8f3BrnD79xjNb6MoKLkZyhY0uRGH/x806+/ZUjfOXZpl2hdMjIyGwNtwd9uKaCvHlpBCBnCExDdQlfegTFWWZ3UFdVQo3FQI3FIBkOVldVzIlm0za3cuvItWavJ0RqtWrrTdUl/Mlf3yCwGAWSG9ezhyrpHQ1z/piNYCiacyO+lrQYe4U7/V6O7Dfx5qURyRCxP/nrG3z7K0fySr9NyVY0LvJbz+5DpVbgdK+ck+uqinnqcCW2x6gYmpIVtz+UJW/Dk3N5XdUxU59uazDSaCtlVOIZmUp1jHoCuyKlwvI5R6tWYikr5Mk2S17eX9eon//2WhfNdqOkTtFcU/rIhnCrUUdLnTHnerQUiaMRFFsuu1LrwuXOSY4fsErO8zaznt6RGRptxbz8dGNeHgzIPJxIJE5tpUFSzusqi2VD3COyJ8JUUzx1qFLS5VmhUPD//aqXk61WubLLY5KaoN+65mTUPc9b15z8yV/fTFd6yuXCfLnLwzPHbCwuSYcShyMx9DoNgcUoV7s9e17xlpGRWTtOb5C/eqM7XdErHI1ToFFJrgdHHXvH0CIjzZMHrSsq2UFyLeq4N43Lt3MrF66XXGv2enWlXNXWzWW6tGEEklVUr931cOnOJL+6Osr1bg+JRIIn23J7xOx1fUAQFPQ55/DMLOYMEYtExbzTb1OydfZQJT//cBBBIUjKyLNHqh/LEJfJh5+MZ8kb5G9Vx+X69BuXRxHFhOQz0mpUXO7Kv3t4FJbPOeFoHKcnkJf31z02y0e3kzKVS6c4e6jysX5jtfUosBjhRt/WV1eVWhcCi1GsZdKhxSqlgoWlKFc63USissFmpyIIipwVuq3lhXLF+UckLz3jHA7HbwC/1dfX97WNvG5DVTHPHa9hNhDG5Q1iMuqyKt2Eo3HGp4LyKetjcKFjUnLBuNgxyT/+VHNOF+beUT92qx5vjqTNXn+I2P0qWjulApaMjEx+cKFjkiKdOisp/JWuyaywj4bqEo46THKCfhkON5bzo3fuSb7n8gYZmghgK88/D42NJrNS53LWWwVPMqy0zcL33uxLf0aqimrmRvzL53f/M38URDHBkeYKruUwKLk8yYq1+VS5MCVbWrWSpfsHJMvnZJtZj7FYS53VsCFt3kh53gqk9Ol+p5/zx2xMzYaY8oey9jF2iyHv7mG97KQ+GpsKcqd/Kr1vWS6/lRVFfPaU/bELBNaaDXhncxS08YdQkDst0GawWh9d7XLzP/9OO29eHWViaiEtnxc7HlRE3umVf/cyBQVqPu7y0N5iSct5qo8/7vLwm+caWVyMbHczdxx5Z4xzOBz/F/Bp4JONvnYsJqJQKJKnhLE4XYO+rIVu3BvkZKs1byb6nYYgKLg3Jj1B94/NMuQOYLPoJV2YTaUF/O3b/TndvE1GHV2DPkCuviMjI7N27k3Oc29sdkV1NlFMcKljAq1ayadP18qhqTJpIpE4NoteOq2FWc/VLjeOmlIspbs71Ga18NJHWYelwkqb7SUMTybzya1WRTXfNuL5Rlt9GUMT86vqT08dLs+b55eSrXA0hnt6Mf1aak42FmvxzCxSbdJvWJs3Wp43k1z6tG9uiZlAmK5BH8ZibdY+Jt/u4VHYSX10Z9DH0MQ8JqMOpyewQn5NpQWPbYiD5DPZZyuVDOE2GXXoCzVbGqK8Wh/tqynFVlFEndVAJCqu2GeD7FCxk4lEYpjLC7PkPNXHJ1utRO4XYJRZH/kYpnoZ+IPNunhLnZFSgxa3b6U7v91qoK1e9opI8SjuprkqoFVWFPGDt/qoLJd2b9VqVKu6eRdoVOkqYXL1HRkZmbXQMernVq+XKlNRztBUgBr5lFZmGcccZsm1qMqkp0Sv5Xv/0Is7h+FoN5ErvPRR1+Hlm7DM6/vnw5hy5BLKt414vlFj0uesGlpwv1J9JBZPpwyBx6uOuxGcbrVyoK6ManO23hiOxnH7FjEatBuuk+eS5yfbLKhU+bUlktKnw9F4er3K3MfsJt04VUU0s5pqvlW/dftD3Lk3TalBu0KvCEfj+OfDtDvMG/Z7udIsFRWoiMZE/vcf3t7S9ehh60JLrRGFwIp9Nshz+U5GFBPUWg3pSt2pOUirVlJbuTEezHsRRSKxPQ/O4XD8E+BfLXv5m319fdcdDsczwD/v6+v7ysOuE4vFEyrVys3Varx9bZS/+FnniipdnztTR1lxAc12Iwfq924Vve5hHx/ecnF3eIbW+jKePmpb8/P427d7+fG7A5LP9s1LIxxqKkenVbGwlHRvrbUaMOg1/OpKMhfG8opBjloj5jIdVzrc7K8zrqstj8mmaqmPIre7gRe//dq6v/P6f3ppE1qya9n03dVOkd23r40wMD5H34ifIw4Tr18YJhoXs+aXuqpi2hrK+eyT9dvd3L1OXsrt6xcG6Rr04fIGsZn1VJn0/MOVEX77uSbGPEGGJ+Zx1G7purQtpHSC7uEZDqxTJ1h+DSm9onvYxzsfO7nnnOXc0Sp+9Pa9FTrEH//+6Xx9xnklu6nn3DXkw2bSU1ykwTcXQqNOhjK+eLaOp4/W8MHNMe4M+Nat420k3cM+/t1fXKG9xZKVnB6Sff7ff+UITz1RvSm/m5Ln1oYyGqtLudXnxekOYLcaePJQ1ab87nrJpU9//mwdChSMTs7jvR8O+Zvnm9bbh3klt5l0D/t4+9oo/c5ZrBVFNFYXo1QquHTHTcvW7gNy8t9+3sH41AIFGhW3+rwcdZjTeoXZqGN/nZEvv7B/Q38zNU/2jfqprCiiylTE9GyIRCIZ+RWJidjMRZw5XL0lz+dh60KuvfYGjGt5f7aN/OyDfgbG5ohEkzKnUQlo1AJNNSX8xjPN2928fCan3G6bMW411mOMm5oKrOkGTCYDU1MPXHzf+2SckckATncgK+eCWinwG083st9emvcx7cvvaSNYXiEHkpNnZqWph1VLfe+WK21sMxl1FBWoEBNw8c4EdouBSCx5amQs1mIo1PDEvgr+/r2BrHZo1Uq++FQDnz1RA2xtPgQAk8mwqZP9WuV2PWyGPGw0v/cf31v3d179N89uQku2h83uo82WW9h42d2MZ3Lj3jTX7rrTc5BOq0IpAAoFw+Pz1FUW01RTQkVxAftrSjf0t2FnjMX1spn3lE9ym3mfF7ommZxewFCkoXPAh6FQTWtDBZ1D00zNPMiVcqvPm1eV2Derrx51HV6uVwiCgrOHKlGplAy65mhrMBKLJ9J6wvKN7bkj1XmbyzGfZDeFICj4s5920u/0U6RT458Ppw8iUMCYhN6bq5roZo77H7xzj3dvjK04hK21GnjumG1d4+lR2ikICjqHZ/i/f9yxQuf91iuHNkXm1tNO51SQ925K69PJkMUEkZjIMYeZl881rLcdeSe3kHsP0t5i4VLHRPrvtVa/3Qz5FQQFf/TqdWxmfZYhbjYQpqGqGEt5IdOzS/z2M41rut562igICv7ra3eZnA7imQlx/IAFQcEKGXn26PrGz+O0T2pdGJsK8s5NF6LIitxihkL1mp9NjvZs2/5sN+p260GlEvioY4L5hSgubzB9UGkz6ykuUnPuUBWxmLjdzdw2VpOP1eQ273LGbQWCoOBql4eKkoIVuePCYpzhyXnUKiFvFOutZLXKaXazXrKcdWZZeLtZz2dO1vLeLReJBKiVAnExmdgUHuQuSbm3Hm4y0VZfxi/uu7xm0lr3QBGSXV9lZGTWQrfTz1/+4m56PnF6AmllXqmE+qpiSgyaTTPEyewe6iwG5heieHwhCgvU1FWW8MNf90nKVmqN3M086jq8XK9IVUxN613RGEUFakoNWkLhWFY+ms5BHxWlurw1xuUjopigoqSAm4vRdOXQc09UZT3zlOyebqvkUsfElsuv2x9K50RbnmvLPbO4YUUbVkMUE1zr9kjqvB93e7ZN5lLGDbspuckdGp+nolSXpU8faTal8ygf379x4ZDbTa49yFIklg6Ny9yTbDWpvtlfW8rb18fSRuTZQDipWxRref3iMP/qt5/YlN8XxQSleg3X7gbRqpWYjDrevDSyYlzbzIYtez7Lx6nTG+TVN3qy2pOZW6yusljOGbdDEcUEs8EIr18YXiFzLz5VL/fpI7InjXGZlafcvsUV70/PhmhtKNtzk8VqFXJSCTdXM9YpFHC5K+kx12QrwWzU8eHtcULhZELHzNxvqb9Pt1qoMSWrrH3c66V7eCZZZa3Vsus3NjIyMhtL79gsV+5Kb65SCnNdZTENVSWyIU7modSY9MwtRvHPLzEXDOP0BCRlK0GCof+fvTcPbuy673y/2AkQIAiQWEiC4Nrcm72x90Vq2ZZjOYoSW/ESlxRnmbimnLw3Gb+qjPwq5Ty/VDRTNanMVCbveSq2EkeeZzu2HFuKpNhautUtNbubvam5s7mCILGRWAiQIPb3B/revgDuBZfmAhK/T5VKTSwX5557zu/8zu/8lvkAnL4wzAI5z4oJJhcZk3qCq1fwVUz1LUXQ1ViBMdujzzEHdgAl/N4MpzvNuHxnDrFEEucP1SAWT+Q1cux0gYz+yQVUV5ZmFJzgHtLuRDukUjFvUnwg7XkmlYp31MvD5g6hb8QFpzcMs16J420mtFjK8caHU6yHI5OfyaBT4cmjyn2lK+fbg3h8YejKFGxUzeR8YEfHa/az6WyswOU7cxlG5BuDTjx7rhF/+oXD2/pMmLlt0isx71nmndeTcwGIeyy7IjMHp73wBVfZgnxcWQ5Qzri9jFQqxqwrxDvmZl0hSKViRKO5eQKJ/BSkMW50dPQygMvb+Rt8lacYV/kUUni3bxYPZv041WlGe5Fs2pLJFJosWsFqpw7vSl5j3fC0l+3PGecSFDIJPn+xGdf6HWi16tDZqMfQlBf1VWU5BjerUY1jnVVYXAyRkCYIYsPcHl/AG1enBN/3+MLoaq5Ai1WHbvKyIdZJV50OZUoZ5i0r+LfrM7yfsbtC+MRxC969NYsLh6r3zeZ4o8x6QphyBjE87YNjYRnNteW40F2Fk51GOBfTm0a+iqmRWAKxeIqtSpgNbd42jtWYPuQcswfw4cfzgp9jjBw71cfpNCcuDE97YTGpceFwNT6872B/eycT9cfjSdSaNLxjrs6swfVhF0zlyh2pUpmd4gUA3r9jx1NHLfjGl46gd9CFUZuP1Z13wnNwp8lXpdNiUkOlkEIqEcG7FIFSIcO0M7gjspbv2QTDbvzx890YmPQ+ei5dpi2pnroWzNwenfXjo34H72fmF5e3vR3ZcOd2i1WHhmothqa8rEMGsL8KjRQjyWQKDoGx5Vhc3ncyaacoSGPcTsBUnuKGqJ7uqspIImtzBnFz0IXferIJbbWFn0PucbG5Q4jHE6wrOANT7fSjfoegsa7WpEbfkCvjtUgsgcXAKv7i946zE7SrTpf3NIsmMkEQG+X+tBc3BpxweVfQ1VTBu7ky6pRoqtGSIY7YMEwKhhlnkHdsGXRKTMwt4e6oG+aK0n2vK/AxMOPDlGMpJ2Tqo4/ncfGYBUdaDKgoV+LDj+dQby5jc8cyn7368Rz+8NnODJ0MSOsfnY36XbmnvY7VqEbvYH65aNApMWbz7cgGOTvNCRPe9NyFRtwedsOgU6LVqtsRgwbDyU7+4hFVlaW4PuCCVi3HkRbDtoesjtn9vGHEFqMGnzxaA6tRnaE771ddmfH6yn4eLZZyiKUijEz74VxcgcWkxvt35/DUkZptl7eCz8agxhcvNu2K1y6zJtlcIV7vzlqjGjZ3EJbKnZlLfHN7YGIRz55vxNR8AB5fGFazBp/cYC5IorCIx5PpscU35kyaos4X9zgUVh3vHaarToc/+e1unDtUjaYaLVJI8bpe2lxB/M0/38soCb8f6R104sP7DvS0m3CszQirSYNjbUY8c7Yed0bdiCfBGuu4KGQSqJVy3hLWozZfzmv7VYkgCGLnuTflxZjND7cvjEgsgRK5lFdGneg040hjQVZjJPYIp7tMvGOrRC7F9PwSSpUyzLqCbJhmsWBzh/D3vxiAzckfxru0EgUA9I8v4FBzJaxmDUpkUnQ1VeBsdzXEYhFKS6SYnA/gZKcJJzpNsJo06Gkz4sKRGozx6BHE2jBhf/nk4oHacnzjS0d2ZIMslOZk9mExgjGbDy0W7ba3g0tXnQ5//Hw3znZXwWrS4ImjNXjuQiMm5gJY8IextBzFrWHXtur/YrEIE3NLvH0zMRfICPve71iNanz+YhN6Hu5Bzh2qwpefbsH4XADv3phFJBpHrUmD6wNO3BhwYswe2Nb2rOfZ7NZzEYtF0KjkvPNao5Lju28M79i+VWhuT80HWPn9qR4yxO11pFKx8JhTyiCVFrVZadMUrWccQ1e9Hv9yZRJatQJ2AaFld4Vw7lBNRsLQvbY4rrVgMEobN5GuSa+Cx7cCfzACQ7kSoZUorvU7MqpeGXRKtNfrsOAP81631Zp7mki5XwiC2AoGpn34+eUJyKRiNsStdyBTRtWa1LhwuAYHqst2u7nEHsdqSG8UR23+jOpw3ITq8wvL7Bq3V9Y6bjs30+beQRdKlbKc8FMGuyuEaDydN4hb9ILRNb70yRZ0NejxP38xiBnnEkoUUnyipxaL/jBGZ3wwV5bC5gntqMfUfoAb9pctFy1GNYx6JVYjsW3dIHPnglCaE7cvjJOdVeis1+3KZv1ggx5v9c7gEycsWArF8Isrk3kT4m/1vBaLRXAsCId+cT8H7J19x2YQi0XwLkUhlYhxqssMty+MH/5qTLDwyOR8Zm60rXw2TH+v59nsBun7TKKn3ZRTsXQxEIYvuIrBad+2zan1zG2PL4xfO1WPznrdjoR7E9uLVCqGLxThHXP+UGTH82zuF4reGJdMptBco8W43Y9ao4bX9dKgUyK4EoXHG4bNE8KVjx0Yn/XDXFmK5poytFgKN4Q1HcOfLqrQVleO051m3rZylTaxWJQx0Yx6JXSaEgxNeXOqXg1MLGIxsIqvPtOGS7fn2OSyujIFlsMxVGgV+NYrfWirK0dnYwWGphYxPJ2/LQRBEGtxZ9KLyTk/myiY8fyIxBIZBwr1VWVkiCO2DG5CdSakkvFE+OQJK4LLUfz5d2/AYtRAo5IDSOJUR2GudYx+MGYL4PRBE5zeMCbsgQ2tz+mNmC9dhCFPKCRT+RHIrY64GFiFWadkdZBjrUa8e9OWsQH/eMzDVm0n1s/pTjOu9TtQqpTh1nA6lYhJr0K1sRQ3B1zbZujk6p7t9eXoaqqExajmTXPS0aDHZ07Ubunvb4RkMoVDzRXwBSJwLK4IJsSftWpxrX9tfXq9MH00MbeE+ir+3HUtlnLMuIL4YA/tOx6HaWcQl27Psn/HEsm8hUfmHxrK1rvXWQ/ca3U16tBk0Qo+m902jJ7qMOPlV28DALsnk8vEeP6pA5CIxbgx6MTScnRLC31k9/WZLrNgrr8Wa/muzm1ia0kmU6g1qvHG1SnIZWLUV5VhzOZDNJakaqqPQdEb44C0sjLjWoJBp+TNl8aEoDx3vhEv/9PtHAXxZKcJTx0tPPfb7Bj+GecSLt+ZE1RomVwNPe2ZOTSYk6jPX2zCtCMtbLnVcZgcH0yy4PG5AJwLy2hq1sLmCmHWHWR/u6fdhBnn0pptIQiCEOLm2ALujLrhXFhmEwW/3TudeYigU6KxRosqvWq3m0vsI6xGNb7xpSO4fG8ek3MBmPRK1FVpMb8QwuR4AAadEhajBr0DDsgkYvS0m/Dyq7cLbq3j6gdnu6vx2qWJdesKXLgHeVyDOEN2FXUGpnCAc3GFreTJGI6yq60Cj6q2F1If7hWOd5gxPuvHoRYDrCY1PL4V/OzSBJLJ1LYYOrN1T4tRjb/954/R027iHR+nOnY/ofvhA5X42QeTGVUfucwvLuN7bwxnFCl7HB02u4/MFSrevuk+UIm/2kP7jseFCXc0V6gQjScFo24Y+dFSW45pZ1Bwr2MwaDb0+3z7pq/+egfvs2lr2P1clkwxh3dv22F3hfDM2Sos+MN4r28WBp0StSYN3umz4fId+5bMcaF95def7+bN9ReNJWBzh/bdOC1WkskUVlZjeO5CI2bdQcy5l9HVVIFaowahcJSMcZuEjHFIC7Pf/bV2/GvvDJ45Ww+bM5gTgnKi3QSbOwi5TJwhbCKxBJZX4+gbcRecsBGK4WcU2mx3bqtRjW++eAzv3LLzfs/tDUOjkiG4EmNfz66M89qlcUF38uzTcFKuCYLYKDZ3CP/wxqBgomB/MO2ho1UroNco0EEFG4gtxmpUQyQCDjZXokQuwRtXc8Pa2HUvGodJryw4HYHRDxQyyWMbv5iDPG4opD8YQVu9DsoSKX52aSLnOya9Ei7vChQyCVvJM72x7MF3fj7A+zuM0Y4U/vXBl1T947F0iDC3DyOxBK4PbZ0uxtU9ueMrO1S2kBK6m3UqSKUSWEzqHC8ohUyC7qZKfHDXnvH64+iw2fo5kwJGLAJm3SG2aur1IX49vlD3HY8DN9zRtxRBvbkso8IyE3XjW4qwhUfOd1fh2oDwXudYZ9WG2pD9XDQqGR7YfLxheR8/8OBo0+7nobUa1fhUjwW9g66cAjrctWgr5rjQvnLM5uNN4fDhfQeUCtm+GqfFTDKZgqpElhPKf0fmIc+4x4CMcQ8xlStRZ1LDuxTBmM3HhqDEEkmc665CPJnC3VEP2uv1kEkl6B14VIrd4wtDhMLKhSYUwy8WiyASi/DjSxMYmfGhrU6X4b5cZ9Jg1sWfO2/GFcS3fv8kLt2xY3DKyyoLzHeFhPRqNA6NSoZSpQz+YIQ9DVfIJFgMhAuq3wiCKFxG7IGcyndAZqJgnaYEjTVaqOQStNWW71JLif2MVCrGhD0Al3cFB5sqeMdjJBqH1aSGLxhBZbkK3uBqweQ94+oHujKFYK639Rq/GO+M3kEXHsz6cabbDNfiCvrHF2ExqXGuuwof3n+kMylkEjRZyuHyhtHVVJFRLdX8MA8tX1gYY7Qj1kfvIL+s5B6KMgxNefG2SobOev1jbZyzdU/u+MpOc+LyrqDerCmIZ5pMplBvVsPuWWb7RiwWscbD++MLbDoErv6/GQMxn34uk4gxMeeHvqwE3/6DE4jHk5BKxfjBr8Z4r1GI+47HhetlG4klIJGIIZeJoVRIcbTVyBrDupoq0N1ciWfP1KPOpMErb47wXo+vgFw+mOfCTbVztNUIuzuEiblARnqeSCwBq0lTMDmyag1qXIk7BNcihUzy2HM8X2445+IK+ie8cC4uZ/QRAAzPeOH0VcOsU278xoiCQqmUwSUQyu9aXIFSKcPycnSXWrd3IWMchxZLOa7en8enT9Vhan4JcqkEx9qNeU8agHQ+FJNeVVALIndR43K6qwqXbs1muRjb8fXnu9FVp+P9HqOQAMDf/vQ+2urK8dVn2jI2FWsl8DzZacaYzQ+jXgmZVI1mSznCkXg6Oet7D3C607xhd3KiOPj9//z+hr/zyn96ahtaQuwm9yYWEVyNYVygeprHF8b5IzVoqtFS1VRiW4nHk6g1aRCNJ+AWMGS5/WEYdSrIZGLIJGJ8eN+BOyMedq3dTbjrfL5cbxsxflmNaliNatg8oZx0HgqZBM9daMTtYTcMOiXqzBr84sokwpE469nKDaFiPO2yQ564XviEMDZ3CEMzXgxPe3nf54YIMxh0Srx+dQqvX516rHC2bB2Sb3wxaU4ONRsKSm9usZRjzhPCM2fr4fAso1yjwKXb9rz6/2YMxNk5mrnegvqyEtybWMTg5CJGZvywGNUw6VUZBkCgMPcdWwF37vcOOHDmYBV++xPN+PE7D3K84V964ZjgXgfgLyCXj2QyhbPdZjyY9aNCq0RgOYKp+SVYTGqYK0rRO+DImDNWs6YgDHFAeg8mpBu5fWF86oQVLu/yY83xfH1t0qtQoS3BjHMpJ9TbUK7Ey6/e2rGqzcT2EQ7HMMOjKwBph51wOMb7HpEfqkHLwWpU43x3NUrkkoelmFOYdQbzentZTRpoS+U43mZc9+8wFXq2m9Od5ozywwqZBBGBcJQrd+cw6wnxfu90VxVuDbvw0f15zDiX8MsbNrz8T7czSmYzQpoPo06Jq/fm05UO+9PlyMUi4PaIGzZXMH29V29jaGqR9/sEQRQ3NncI//DmEIYnvTAI1CSVxwAAIABJREFUnK5WV5aisaYMFWrFDreOKEZOdpqwHI7BYuLfXBjLlShVytNr3qALp7uqctba7WC9+gWzzkdiCTbXG5fNGL/EYhF6BULGZp1BACmM2XxwecMIR+IZ7/cOuti/rUY1vv210/j0yTrUV5Xh0yfrCi7nXqHChKa6vKuCstKoU8K3FGH/5ub1y34Wa8E33rg65FaOr+3GalTj4hELotEEpBIxViL8+nIskYBGJXuse2D6iNGvGX04lQL+7qf38csbNsw4l/DR/XncGnaxB+JAuu9KS6Qb2nfsFRgv20+frGP3V/PuZcEwVCB3zwJsbnzZ3CG8dmkCcpkUl27b0dvvhM0VxLX7Dt5ncKIAch0y5NuDGXRKfHDXjroq7abmOBehvj7eZhR8r0QuRXAltunfJAoHpoADH7WmwvBy3ouQZ1wWzOluS60O1/odGJoSOFn0h3HucA0GJxcBEb/ym+0+vpXVfoR+I/tevvniMQxM+XDvgQeHDxhwc8jJ+1m3L4yBKR9qDeqMkJPJ+QBEIqwrn4zQabYiK3kzk++CGyYRiSXwwR07nr/QuOm+IAhi/zE862erAc4vLKPWpOFNptzTYUKlWkEbdmJH6KrT4Wu/dZD1luFb95bDUfY9JjSQu9YC/Gv4ZkLPuPpFZ6MeJ9qMeeeC1ajGSy8eQ+9AOrT08xeb4fauYHwukJOCYr2/vRBYFQx5dfvC6GqqRDKZwq9u2nLezw7362iogEEt31dheDtB72BaxwuFo4IFNZ44UoPKciWGprwZuZGZMLzJ+cCa/Z5Pn2V0yOtDLgxNeRGNxdmcnkw+KUO5Eo3VZQXjWcTA7AGkUjH+/Ls3eT/jXFjBhSMWtFofVTTdyDgVi0W8OZrz5W8UiYAmixaVWiWaarRosWj37VrHPAPG0PutV/p4Pzcy42P7ktmzjNp8G5Jf3OfGzB2hZ5BCCk01WlRVluJEh2nXPZyzEdqDMcawaUeAlQeT84E1Q2zZOW7zo836aI4L9bVYLMIzZ+sx71mGY2E5Q7YAlPNzP1BSIoVGJeddVzRKGUpKpFhdjee5AsEHGeMEsFSoEIsnYa5Q8YZvGMuVeL8vHe5pcwbx0cfz7Mktn5ICYEOVTdfC5g7hp1cmMTjpFTTsZbZDh856HYIrUcw4c+/HoFPi3gMPPnvKyiZSXkshyRas2UK6rU4HQIRf3ZzJ+S5fmMTQlBfiJ5tIUBMEAQC4M7GI169MAngU7pSdBNygU+JAbXlBJFImiouuOh0+uGPHxWMWePzhnMJPFoOaXec8vjBarOUoLZHh/rgHnQ069A7k6gmbObDjq3D3Xt+soH7B1Q26GnX4w2c72Hw+G90scX9bIZMIhrx2NOhRIhdhxrnCe32hcD/SB9YPky6EydNm94RyZKVBp8LBBj0ONujxyz4bfnZ5ErFEMuNzRp0K086g4NgTqqjIHW+MDvmaRIx3b9rQN+zOyLl1vMNUcIY4LvF4UjAkz6BT4t2bNrx704avP9/NhpSuNWdz9PYuM+bcy+z7+fI32t0hfPsPTiCZTBXNnGDuU/A5lJdgxhVkDzakEqBCWwKpJOejOeTs07rMGLMFYNKrBJ/BvGcZf/nvTiIaTfC+v9vUmzV5jWFubxitdTqUq+VIJIE//+7NvPvHjDnuyJzjfEUAk8kUotE4RACi8URG3jiAcn7uF3yhCG9BE38osvaXCV7IGJeHQwcqcWvYJXjqne3t1TvoglgMvPLmMFzedILDGecSrvU7cKLDnHPSAgCD074NG+PWowjxfyadG46bA4O5nxK5FJVaZY6gnHIsoc6szlgIGYWqs0Gf8/lsIf3jS+O8wtegU2JgIjMstYPnegRBFCeznhAGxhdxoFaLSDQJmyuIErkUMok4Iwn4mM2Hi0drdru5RBGSTKZg1Cnh9IYxMLGYk7jaqFOi/+E6V19VhtVoHMoSKbqbLRl51Zg1/GSnCVfuzWe8tp4Du+ziSczc4FZbZNZkPt3g3T47+zt8a3A+Ax33t7khidntOdVpggjAgj/C+36hhSzuRZhQtct35lijKFdWDkws4vwhBX5yeRwDkz40WbQ42WlCMgX0DT0q9mBzBXFr2IWXXjjGm8tXqFhX34g7pyBDq7Uc7z70hGRyxRVaiJ8Q+TyNmNeu3J1D/8M5z8zZb754DHVZIVtCevvnLzZhypHO9eUPRXG01cB62zKVQyOxBFqtuoI2Xm4n+aJurg24cKYr09kBAN7ts+ObL/KPX6Fn8ZVPt2LM5kepSsbu4bi0WnUFa4gD1jaGWYxq6MsUeOdmdt7w3HVGaI5zK7Iy45u7PhxvM+H9O3Z23DKQjN8frK7GUWtU442rU1CrpOhqrMTA5AJCK3E8e76BvOI2CRnj8tBVp4MIgElfCpsrCMfCMg7UlkMmleR4ezFVSt+5lS593tVUwZ5IlCpleDDrz/gscwp5Y9CJpeXohkJChIQkN2xU6DODk178yRcO4fJtO9wci/adUTf+7CtHMz5vc4fw/p30/ShkkpzT03A0AZs7xNtuRjALLaKlJdKc1544alnX/RMEsb+Z9YQwt7iCaCIB+3wIFpMaX/jEAfz86iSOc07kak1qHGo2oGODiZoJYqtgNh8AMjy9mc1iLJHEhcPViCeTcC6uwKBTYiEQRiyRubEWSt+QnQ4iG27xpOxk8J7AKoZn/eifWMDwtB/NFi30ZSW8v833O2ul1uAr3MR4rsYTSbi8K2iu0cKoV+L7b42ixapFT7sJtSYNxu0BOBaX0WIpx7nuqn0bcrfTMDoX1yjKNYJF4wm8e2sWQHojrlHJcLTVKKhTHuusynid75kz484TWMW3XulDW92j0LWuOh2+/nw3bg65YHMGYTVrCjLEj4/scNtsTyMgHX7NeL+KxSL0tJvwqz477O5QxpwR0snd3jA0KhmCKzEcazVCKgEuHK7G8uqjyqGlJdKiNmTIZRJB72OrSYOyUllG33KfwytvjWSEWAL8+6NYIgl/KIJwNF1UhruHSyZTe8aYlM8YJpWI4BCohMmV//kK8g1NeXHdpEZ1RSkA5HgXWo1qPHXUAotRg4k5kvH7DalUjHAkji8/3YqxWR+m5pfQWqdHS60OHv9KwVQX3muQMW4NOut06KzTQSoVs+7hP3j3Qc4pcXaVUuZk6/yhGkzNB2AxadjQDSZhK/ezl+/Y13UCLhaLMDG3BHOFKkfYMmGjAAQF6ajNhy9/ohmaEimbS65Sq8SffeVojttx34gLy6tx3B3z4HRXFYx6ZU5lWW54Lh9C+QUAQKmQZbzW0VABj4e/SgtBEMWBfSEEd2AV339zOEee/s7TLXj/lh311WU41GJAmVKG7gb9LreYKGb4Nh/NFi3M+lJcH3Dic0824Y2rUzmVAM91V+HKvfkMDxi+9A3cdBB8HmrcCnd8usXHYx70tJsw41zCjHMppxok3+8AaUPcX//oLkqVMviWIrweFDOuICzGTM/5ZDKFj+7P47Nn6vGb5xvwV/90C8GVdIW1KUeAvcanjlnYzxNbB9eAdLGnFqGVKGZdIbTV6VChVeBH7z5gP6uQSVBfVQa7m7+gyKjNl/NaMplCk0Wb8cyzxx03EqOrTsf+txc3aky0xxsl0gz9l8FiUqN/fAHmChVaastxYzC7H+bw0ovHMDLjz/F2A4DxuQBeeqEHH/U7sBBYhUgkzvFSVMgkeKpID6sZOdRi1fF6H3c16mFzhTIOMXLGIyfEst6swUJgNcc793RXFd7M2t8oZBI8fcKKVAobcpjYTfjWo4aqMiSSKYzbA5BK0nUbs8ciV/7nq5pq0Cnxw3fG8JnT9fjFlUleT88WSzk+ebQGT/eQjN9viMUiVFWW4tW3RjLmyu1hN154pm3HClTuN8gYt064CoRZr8wQ5NlVShUyCSrKS3DAokM0nnbZlIjTp103h92CyUHXOgEHgGlXMJ3HzpnIObnhxuPnK/WdTKZQa1Cj1qBmc8TZ3CH8+NJ4xgmH25c+hUomU7g17MLB5opNtVsovwDfawRBFC9Ds35MzAV4Q0QisQTGZv3QquU40mrAoXoywhGFAbPGZW8+njllxf94rZ93LMcTKXzxky0Yt/tZDxirWYN/6830um+r02HaGeT1UGPWz9OdZlzrdwjqFkzxCMZLivs3Q3Y+nzG7Hy1WHds2Rtdg1nsm1Kun3cRW0GM2dwBwvM2Iy3fnWEMctz3r0XWIzZOtc3ET4TN/cz0oa4xqmCtKWV2SoVXA45irA3OLDmRv8K/cnYNWJWNzeu01QxwXpTw3EZlSIUWzRYtINAF/MIJ4IsWvIw+48OTRagxP++BcXMmYT61WHcw6JX77ySb85T/dhlYtXzM8sJjoHXQiuBJDiTy9XWUOKsRiEc51V2ElkoBjYZnt09ujwnusD/sd6Btx5cg0uUyCFPif3dJyFH/0bMee2qdw1yOxWIRv/+MtjNvTxuDu5grUmjTs3Gf6QaOSZdxjvhDtaCwJuzvEm3rJ7Qvjlzdm8CefP1SU43W/k0ymMDTl5Z0rQ1NeXDhYJfBNIh9kjNsgYrEIvf2ujOSFLdZyjNn8OQoOU83K7gmxpywvfKYNv7qRW0kMyF9pxuYOYczux2uXJnJObphTIK4LtZAgzXazFsohc/nOHH77E81IptK/oytTwO3lT2rKVDTazGK1lxY4giC2jzsTi+jtdyCVAhb8AkmsXSH8/m90IJS1wSeIQiB7PYvHk5hfWOb9rN0dgt0dYj3mGY+5nnYT67WmkEnQ0aAXzDX10X0na5x76YUefOfnA7y/le1xl/13tm5gX1gW1DUYPYUJ9br3wIPPXWzCtGMJc+5lHGs34lSnGfVmDf7hrRHe9lBVvZ0hO7l6Pg/KbI9JobA8rg6cSCRRqpTB5gzibHd1zgZ/zh3KqBy8V+HT+w06JRqqtfjxOw8QiSVgrlAJehiOzHgxPI2Mua6QSXCuu4rt42QyhSMtlbgx6OK9xvB08c0ZbrhkduGm4x0m/OuHUzlj+JMnrOgfX+C93pjNj2g8HbLNHfPlGoXgd+we/me6F2C83JpqyjBu9yMSS6CuSos3rk7m9NvXn+/O+C5Tbfvt67acYhBGnRIu7wobocVNYTRm86Opphxj9gAZ4/YhcrkUdhf/nLC7QpDLpYjHozvcqr0PGeM2SDKZQotVi1/esLGngDcGnWix6lBr0ggqOLeGXdCVKfBgNgCLSc1bbUyo0gzXTZvPGi0SAd988ViGwrORUt9CuSycCyvQlqZLGC+HY2hoKuNtd60pM+lztsKwVt4ZgiCKG5s7hL//+cCaFRktJjWCKzF01pbvQisJYmMwIX28Y9moxu0Rd8ZrzHp+oLYcjdVanOky4doA//o8avPDubickTS+vV7H+1vZBZMsJjWSiRTkUgmsZg0+eczCerv1jbiwEIjwej0oFRIcak5XLR6zBXC2uxpGvRI/yzLc3R5246UXjq3poU9sL9m6V2djRV4PSu7YE9IXk8kUWuu0CK7EEUskMe1YwsmDZrz23niO7vvM2Xrce+BhIzD2Knx6/9jDEF7mnplq33zzr8bAP9flUklGHx9s1LOH99lYTfzFVfYzXAMyE/6ukElg0ivhFvCe9wcjsJo165KDzPdXwjEYdEre77TUlu/5fmecMwBgaj4gmE88O4+j1aBGpVaBGecSGxosFovQUluOeDIFuyuEIy0GNNeW4yfvPchMj/BgAS21Wlj3uCGeyGR1NYa6Kv75VV9dhtVVOijfDGSM2wRcrzPmZFlbKsfScpRXyKWQwpEWA+YXlhGOxtFUU4bbw+51VZoRi0XoG3GhVCmDxxdmFYHlcIzN5WJ3h3IqNwHC4aHZ1xfKLzc+F8Af/UYnzBWl8C6tsu3MbrdaJYdYLOINpQGwZuVXgiCKm2sDjozwJqGKjN3NBjLEEXuKIy0GXLvvyBnLZaW54WhA2mPu239wAvF4EmKxCK+8ye9dlu3dNjDlw5kufo94fVlJxt8iiHB3zA2TXoVP9VhQa3gUdqorU0AufRSSx/X4H7P50WItx7QziDPdJrx+dUrwkLB30CXYnr2QCH2vwxfxcOXePP70y0fwg7f5xxR37OWjo6EC/+/P+nG01QhDuRgTs/wbfJd3ZV8YM4Bcvd9coYLH98iDO9+6Va5RwKRXAUjB5Q1n5Ivj6udWowbaUgXvNUqVMrx904bOen1R6c7ZUT7p/4sww2MMAIA5TwhffaYtI+8ekFsFlyESjcPuXoXFqObt93Pd+yPs7mSnCXKZBGM24XzifHvFswerceXefEY+vhuDLtYbLpFI4sGsXzA823qxeMZqMSCXS2DWl/KmpjDpVJDLJVRRdROQMW4TcL3ORmZ8MJSXQFUiw7g9wPt5uyuU4RrdP76AZ883Yn4hhDn3ckblKQbuiaapQoUWqw6V5SWYdQZRoVUisBzBnHsZXc0VONhYmVfZWeu9fKfXZp0SZl0NxGIRfvT+eI6bfolcCqRSmHEFBUNpNpsfjyCI/Y3NHcLNMTf8yzHIpRI2vOnGkBMnO8yIJ5JwLCzDYlLj0AEDjh+o3O0mE8SGGJpaxMlOE+KJFOzuEAw6JUpLpFgM8Idit1p1rDFkrUTaQ1PedHhgLI4bQ044Fpfx+YvNsLuDmHGGcMCiRaVOiev9ThxqMaCxugwSsQi9/U48edSC050m1qOe8ZDP9vDhC2m8em8ev/VkE3tIyAdTLGq9HvrE1sIX8RCOxPHxmEfQg5I79tI6qAsjNl9ONcrByUUcbTWyER9c4y0XuyuEXz9dv7U3tktkR5t0NugRjiYy+pEJpRSJ8LCaalpvZz5jrlTjWLsJHl8Y1/odaKvT5YQSAylePXsxEMal23a8fnWqqA6z+aJ8GI9hm5N/DIsAfP5iEybmluBYWEadWQNThYqteMvtc5NehTK1Apfv2DPCYA06JQ7Ulu8Lz67eQSeu3JuHRiVDe71+XZFZ3D3oyU4zKsuVuD3iRiqVzq13trt6zflP6Qj2H/F4ErdH3Hj2fCPmPEHMuZdxtM2AGoMm/fqZut1u4p6EjHGbhOt1NuMK4uawGzXG0nW5RocjcUzNBxCOxPF//2HuKSTfiaZCJnl4siHFpdv2zMps44uIxuJosZRnlKZerwBcT365ZDKFUx0mvPzqbQBgKxoBwEsvHBMMpZmYW8o5bQJISBNEsWNzhzAy68e/XM7NTXWyw4yP7s/jzMEq/NaTjZBKJOi0kkccsbcQi0UYnvZjxrmEpx5WD2XCfc52V/N6YnDXXbFYJOhdViKX4niHCTc4a6/N+XD+dJlxqLkCl+7Y2QIK084lfDzmYSuZZqeWYDzkuR4+AARDGqfml7AcjqHGmj/txno89ImtJV/Ew+CUF199pi2vzjcw48Pf/fS+YDXKibklttBAvvDMlocHuvuF7LFsc4fw0cePvIaYYmfffPEY6kwazLiC+Kt/up27vnWacK67Cqc6cj1ET3WYefXsnnYTe51iO8zmkyFC+5bORj3b50wk0b0HHnSnDOnc2ll5EU+0GzE664dMImbDYJkwZKECJnsJriwIrsQgk0oE1x3uuObbg/6fv9uD7/3rcEbRlnzzP9vYTOx9xGIRjrYZePIOevDs+QaqprpJCsoY19raqgXwAwBlAOQA/uPo6Gjv7rYqP9zKpDZPCHdGPOtyjfb4wjjZaeYNBxDK4RaNJRFPJAXzx7zx4RT+3XNdGJxc3FB+NqtRja8/342bQy7YnEFYzRqc6Mg9vc4+oXryqAGnO015EzU7FpczQmkYKGcMQRQ39oVljAuEN6xG49CoZDjcYoAoBTLEEXsSrmfbyIwP3c2VMOiU8PjCiMbiePZ8I6bmA/D4wuho0OPUw3U3O9fX15/vxtCUFyMzPjTXaBFNJCEWiZBI8lcATCSScPvC665kmu2Bx3j4KBXCYU2OxWWUKmWCoXl8xaKInWGtiAergV/nA4BL9+YwPO3LG9HALTSQLzzz3EHzNt7l7vEorJQ/N3OtIZ3fTeiQenk1Dn2Zglc3Z655fciFoSlvRtVPhmI9zOber1DfXx961OfcVEKr0XToXCqVQlONFg1VZTjXXYU6kwb/+NYorzfi9QEnnu6x7Ol+FpLtq9E4PP4w2uv06GzU4/qQE//w1gi6GnVYiSR4x+2Ve/PoatQhEouzHtH55j+fsZnY2ySTKXh8Yd7x4fGF9/Rc2U0KyhgH4D8CeG90dPS/tba2tgL4IYCju9ymdcMoOFfuzsHtC8OoU6LWrMEvrkzmfNaoU6Kr4dGpC9eaLHSiGY0nBasMenxhlCpluHJ3Dv0PT97Z/GwvHsvram1zh/B3P70PIH0S1zfkQt+Qi9cVnjmhkkrF6wqlabGU48aQM+M1yhlDEMXN2FwAM44luAVC3Dy+MD5/sRkKuQQH6/b+6TRRvDAeHIuBVXj8YQxMLEJXpsD98UX0DbuhkEnwG+cb8ZkTtQD4PeOZdfxLTzUjmUxhYMaHX1yZREwgt9esKwRzhYr3PaGNPNfThEmWXqFV4EiLkd/r6eHanl3lsKW2HOe6q1Bvzs1jS+wc+SIehHS+s91VEItFgnKZGTtdjXpMzi+x4yJ7DJj0Spw/XFMU3lvZXlvc/wvp8h5fGCnwR7CIxSL2mm+r5Hid44HCUMyH2Zk59jL3I2KxSNAxgMmxafeE8L/99iHoS+XstbKLczDey58+Wbcv+plPtmtUMrz0Qg9i8USG92YqJXy/Y3Y//v1vduHKvfkMj+hinv/FhlgswtR87l4fAKbml8gzbpMUmjHubwBEHv5bCmB1F9uyKbrqdNCqZBiY8uHeAw9a5FLIJGJEklknBger2KTJV+47MD7rh7myFC21WjTXankNW3KpWLDiDxMKK5dKMjzRIrEE3r5uQ6VWgeNt/LlarnKSS3M92PhO0IUqowopfue6q3Cuu4pyxhAEAQC4P+3D5HwAk/NLgvKsurIUapWcDHHEnofrwSESiwAs5niKd9Y/GudXs4o9AJnr+Il2EwYnFxGLJ2Cu5A8RraoshU4j522PUOhQtqdJY00Z9GVKhFZigonNuWt7Z4Men3+iCbF4AtcG0l4WVD199xDyHLIa1fjxpXFenY/ZaAnJ5WZLOX5yeRxDU35cPFbDGi24G/wvf6oVNZUqNhdhscAtYNZk0aKmUoUaQ6lgvscSeeb2i9Gtx2wBnD5ogtMb5s3FVayH2Xx7DwAZr53pMqOtTifY5wMTizj1MOzfF4xg1h1Ee50OnY0VOUX59lM/C8kCs06ZIQvSpITXlYpS1FSW4htfOoKRWT/N/yIkmUzBXMmfkquqsnRfGK93g10zxrW2tv4BgD/Nevn3RkdH+1pbW81Ih6v+h7Wuo9OpIBVIHpmNwaDZcDs3g8GgwdGOKrz48G+LSYP3+2xw+8IwV6pQIpPge68PQvWFw/jvP7qbWQ56zIPnLjTyKr9ymRhSqZj3PSYUNjs/HQA4FpYx41zCu312fPtrp9HRUMG+NzHngy8YEczrxu2zoalF3hP7b3/tNI51VuHbXzuND+7YMTTlRUeDHk8ctbC/daxzfRWJduoZ7TYbGbcboVj6by0KuR8KuW3r4XHG7q9uzKBEIcGibxXlGoVgeENPhwmfPlW/RS3eHfb6c+ZjL9/TbuoKBoOGXQMvHrMIrpMPZn14MCsQFvpwHe+f8EImE0NVIkVzjRYfj+Wmxqg2lCLAs64rZBJAJMJPr0xm/G52O/uGnPibH95BcCXGVlONROPw+FfR2Si8tg9NLeL/euUmr46Q/Vvr7Tdi8zKXO+64jAiEHk/NL6FCWyKYVyqeSOLdPjsAYOatJVw4XAOZTIwHNn/OWN4Ndmu88OnGCpkEzz3RBMWIO7cyaokUtWYNKirSBovh6UX86L0HUJVI0VhThtcupfOoZsy9wCo6C6CPN8JW6blCe4+TnSZcuTef8dp/+PIRXL5jz+nzSm0Jzh2qhsWoxo/eGcvIs3nl3jz+9y8dwcDEAq9c3gm2e+yuVxa4vGEcazfxzn+rSYNvf/8WTnaa8HbvNC4cqYFvaZWNBHvquBXnD9ds633sBGuN22JflyxGNT4eyx0fFqMaOl3pLrasMNjM+Ng1Y9zo6Oj3AHwv+/XW1taDAH4E4P8YHR39YK3r+Hwra30EQLpzPB7+UtjbzcdjbvQ/DE35eGyBTSx67f487wn4xFwAX/jEAbh9YYzaHuWISSZTMOqV6cpsyRTsrhB7wtY74BDMT8cY6CKxBC7dmkV4JYrrQ04AYgRXIlgIhDPyUjCW7VarLqPP3u+z8bb3/b5ZGNRyGNRyPH+hEeInm9hrbKTPd/MZZbPdwna943YjFFL/7TaF2g/b/Yx2QknY7Ni9O7GIew88mHEEYa4sRWejHq9dmsjI1WLUKXGyy4yjTRUF+wzXw36ci9t5T4U0brd9juZZJ9+7OSPolWTUKTEw5cWZg2ZYTRqM2vy4dt+BZ87Ww+VdYfWB0hIpRKJ0WovjHSasRtK5gQzlSijkUvzqxgySyRTe65sVrMr4/q1ZNt8c4/WgkEnwqRNWfO58Q0abM74noCNcupXWETbUT3tkDhXS2F0vbdZyzDhyvYfSByQS9A27c+RyR6MeP/i3UfazyWQKl+/Y8dkz9fiL3zu+KZ1vK9nN8SI07qfm/HjuiUbMuUOYdYVQVVmKakMpvIEwDlRr4fEEYXOHMDTjQ5laAedCOg/jb5xvxL9cmUA8nmTnHjeUfSvucy+NW6H+XV6NZxiNIrEEPh7zpNMF3ZuD2xtGXZUa7XUVGJhahN0VQjgax5efbsX/984ootH095gqw1+82ITN7l8eh90cu9mygMn9dbLThOXVRzn0SkukcCwuY9YZhLZUjkAoinduPgrt7Z9YRIVWibaaMgAbKyK4UXZzf7ZX1qXtRCYBnrvQCLs7BLs7BItRDYtRDZE4VfR9k2985Bu3BRWm2tra2gHgJwC+ODoLz4LVAAAgAElEQVQ6+vFut2crYPJGcN2fgXSeDr6y3EA6t8EwvPjjzx0EALa6Td+IG/OeFVwfcKBEIcUnemqx6A9j1hXEmYNVONlhwv/zs/6Ma+Ua6ER4+dXb6Gk34dawK6cKG1NpKP3vzKpuQvkvsnPQkJsqQRBcbo8v4Lu/GOT1ArZ7QvAHI2i1lqO9QY/DjXvj1J8gHge+XFEDkz5YjGperwRdWQmOtRpRqVXih7965Nkx7VyCRiXDZ07Xw+NbRXuDDvfHF2BzBdFiKcfTxy3on/Ti9atTGdfkK+YgFosgFot4dZNILIH74wv4wsUm3sJT+XSEoSkv3lbJ0Fmvp5DVAkAorUhpiRR9w2782uk62JxB+IMRtFjLIZOKceXOPK9u1z+5iLMHq/ZV1dSNkG/cu7xhzHmWcaBWh4PNlQiEIlAppDh81MKmqXn/jh03Bl0Za6NCJsFvXmjCT99/ACA99/qGXfjsKWvR6ddr5d5j0vIwRqGJuQC+9FQzmy6oTC3H998azujf28Nu/M7TrfjHN4fYaxVrUQw+WXB7xI3Pnm2A3RVEZbkSpSUyJJIp9A44YHxYgIiBu7cdtfng9IXxwb25DRURJPYOKpUcWnUJvv/mMIC0LeP2iBu3R9z43c+2Q6WSY2Ulusut3HsUlDEOwMsASgD893T9BgRGR0ef290mPR5CxQ18SxEcbTMI5n8z6VU5lYPkMgm+8/MBAMBqJI43P5piFyCXdwUHG/T4s68cRe+gC8MzXhjKlRlVmBQyCZaW0yn5mLLUXCKxBOKJJC4croHVrM4o+rBWda5iW8AIglgfAzYf7j30CObCeAGrlXIcqC1HhbaEDHFE0cKsse/0zWYkwzbolLCaNXj/1iwONlbC7g7lzKXgSgyOhRVIJSJ87/VBAGkl+caQE08ds+DmkDvnO8CjDSg331VXow71VRpe3cRq1vAa4rjtF8rX9PrVKbx+dUrQG4/YOaxGNV568Rh6B9I5pCwPn0cyBZztrsLtYTdc3hXoyhS4+jAMsKupAtN8z7ZciZdfvYVvfOlIUT7Xtcb9wMQinN45/M7TLYjHk/jwvgML/jDOdJnRN+LC8iq/Lj7vCUGjkrEeqsWqZ6/Vv0NTXpztruZ4caow7QzCalSj1qDGdzmGOIZILIGxWR8qtAosBtJ7omLt3+x8crVGNUwVpZhxBOBdiuBwSyXujS1gYi4AIL137Wqq4M8pWaPFy6/eYscsW3yIZP6+YXU1hoHJRd6cowOTizhDFXQ3RUEZ4/a64U0IvpMHAKgxaKCQ5eZ7KS2R4nibMeOzNncIf/2ju2ix6jKEIHMqcajZgGQyxVYXcvqqM4QiAJj0KtjdIejKFBknG1wcC8swV6jQUafP+f0KbQnvif1+SXJKEMTWMjDjw+U7c3mrQKdSgN0dwamO1h1uHUEUFoyuwHin68oUGLP5UCKXQqmQQiGXCOaUm3Eu4eyh6hwl+aN+R96DtBlXMCcf04XD1bxr/Yk1FG0hjyuudz5fYShi5+Amwu9q1OGPfqMTwzNe/PN76UTuGpUM7fV62FzBjI2WUH7PErkUwZVYUT/Xtcb9hcPV+Ml7jxLlzziWMDztgyHLy4iL3R1CfVUZ+icWi17PzufJebTVmBnl4wri1rALL71wDM0WLeyuEO817a4Quhor8cHduaLvX25F4IEZH/72n9OBaboyBX51w4YW66MCQ5FYQlAWGPXKjD0n8/lilg37DalUnHdOSaViNvybWD8FZYzbrzCnkG9ft8GxsMzmefv5lQmc7DAjnkjCsbiMqopSNNVo0WLR5giu3kEngisxQSGYvZBUV6hwtrsGHv8Ke7quVsoRCkcxMLEoeLJh0Cmh1ygyQg5s7hBefvU2Yolkxol9S205znVXkZAlCCKHWU8IV+7O4cGsDwebKgXljUYlx3Pn6qn6FlH08FW962zUY2jKC7VSjmQqhRojfyWzWpMab16bynl9cMqLrz7TxruZPd1pwrUBZ85B4Yf3HfjCJw5gzh3CjDMIq1mDEx0mdK1R3Zhp//UhF4amvBk5bRmKNRysEGB0Oa7h9d0+O57qqc3IEVdjVEPxINOb+c6oG19/vhsf3Xdk6LHMsy3m55o9b5trtDDqVbg+4MRnz9RjNZrImWMu7woaa7QAwD+fzRr4llbx6ZN1bBXcYkWoGqhIBLxzy87r+cYYgCwm/sqgFpMavmCE+pfDtDOIv/vp/QxZYLGq0dVUyeYdB4DeAQfOdVdBLpVgfC6Qfh5dJnz/rVHe6xazbNhvJJOpvHOKnvHmIGPcDmE1qFGpVWDGuZQh1D66P4/PnqnHv3+uEwB/vjVuzoTeAUeGQayqshSfOWXNCCllrpNKJTHwsHAE85tnu6sBCJ9ylpZIcephyXCG3kFnRnuZE3uFXMKeptAEJAiCy7QrCF8wguBKDNUG/jxYpSVSfOZM/YaTuxPEfoXrpcCsq111Orx90waXdwW1Rg3u8HjUt1p1+Oi+I+d6rVYdrAb+zWy9WYN/eGsk5zvJZArXB5z4i987DrFYJBiamq/9b6tkOXnqmPaQvrA79I24oCtTwLcUyUh6H1yJ4tawC0DaG+bfemfQ0542dtjdIXa8WI1qjM54c/RYgJ4r37x9uscCAPjWK305n4/EEihRSJFMJnnXxpMdJnQ36Iu6T7nw9a9YLMKsgJcOYwDqaTPh9nBuRdujrUb0HKik/uXQO+hEOBLHrWEXTHoVgBT6JxYhEuFRQQd/GO11elYecJ9Hi1WLKUcg57rFLhv2E8lkCm1WHe+caqPnvGnIGLeDHG8z4d2+3JLbx9uMeQcwN2cCt7KZrkyBSm1JjiGOgXHt5oYaMKebQ1NeXOypRWglCpsriOqKUjTyeOXxJU+NxBJw+8JIpIAfX5rAyIyPEnUSBAGACYNyYXjaixpjKcwVpXj9w0k8d74RTu8KZhxLqKosRUNVGdqs5eho2NuVUwliO+DqBGKxCDeH3Jh1B3HuUBW+/HQLxmx+2N0h1JrUONJqRKVGkddrnm8zu55csJtVrjvr9Xj9aqanXrGHg+0mNk8InkAEcqkEXU0VrFdbMpnCrCsEk16VEZp6a9iFb754DEc7qjLks5AeS881DXe+MP8WmmNIpfDUUQuqDWpMzS/BsbCMhuoyHGszoquONrZ8ZPfvWvLrUyfrkEylcGfUDbsrBItJjaOtRhxtqqD+5SAWizBmC2Tk3zPoVKg1lWHOHcJqLI7lcAwvvdCTETnF7UOhcGKSDfuLkVkvXnimHUMPKxRbTGp0NFRgeHoBF7qrdrt5exIyxu0gQq7W6zFgZQu5SCwB31IkJ7fcen+vq07HKuVisQgAv1ee0GJ3uqsKl27NZoQ7UKJOotj4/f/8/oa/88p/emobWlIYZIdBMZXhjreb8JP3H7D5iD55vBZN5u0tT08Q+wXuOpxIAK9dGodRp0RluRL3xxdwa9iNl144ti79Inud364N1OPoO8TWIiSXT3dV4aP782ir0+FMlwnXBjKfFV/qAHquG0dojp3qMD0ykh8XbdgLlVif/DraVIGjTRWQyyWUz0qAZDKF0wdNeO3SRI6c+PVzDViNxHG8zZi3ajLJhv1PMplCW60er741DLVKiq7GSgxMLuD2sBtf+XQrGbg3CRnjdhi+0+n1fi9byD11vHbN8K58v8c9Hc9H9mKnkEkQEajGSok6CaJ44Ya0M0RiCaRSKTTVaKHTKHDuUDUZ4ghig5zuNONavwOr0TiCK7GHibIfHZL1DrrwxYtNsBrVMBg06/Y23c4N1Gb1HWJrEZLLq9E4NCoZa3j74sX1PSt6rhtjPXPscbxQi5mNyC8yxOXH5Q3zyoml5Si+/FTzuq5BsmH/M+MMIhJLIBJI4IO7c+zrNmcQ6DLn+SYhBBnjdonNCKlsIbcRhftxhGL2Yne83YQbQ07ez1KiToIoTvhC2hns7hA+cbwW9SY1FWogiE2QXod78J2fD/C+/zhr73ZvoEgf2D3yyWWPP5w37Gwt6LmuH2aObURvJ9YHGYAeH7FYhHF7br43AHgw699w39Jz2J/kGyfjcwGag5uEjHF7kN0Y6NmL3dJyJG0Fz4ISde4+FDpJ7Ab58rd0NOhxnk7MCOKxMOuUaK/X8VYy24q1l9bu/Uc+udxep88bdkYQewmSX5tnLf2N+pYA1penkdg4ZIwjNgQz0ShR5/6CDHjEVpAvNw5BEI8Prb3ERqExQxDEWgjJiSeOWnaxVUShQevJ1kPGOGJTUKJOgiCyIblAENsLzTFio9CYIQhiLYTkBFW8J7jQerL1kDGO2DSUp6G42Yw3XSGz3+5ntyC5QBDbC80xYqPQmCEIYi1IThDrgXJgbi1kjCMeGxLY2wcZiIi9CskFgtheaI4RG4XGDEEQa0FygiB2DjLGEQSx7yhkIybl5yMIgiAIgiAIgihuxLvdAIIgCIIgCIIgCIIgCIIoFsgYRxAEQRAEQRAEQRAEQRA7BBnjCIIgCIIgCIIgCIIgCGKHIGMcQRAEQRAEQRAEQRAEQewQolSKKqYQBEEQBEEQBEEQBEEQxE5AnnEEQRAEQRAEQRAEQRAEsUOQMY4gCIIgCIIgCIIgCIIgdggyxhEEQRAEQRAEQRAEQRDEDkHGOIIgCIIgCIIgCIIgCILYIcgYRxAEQRAEQRAEQRAEQRA7BBnjCIIgCIIgCIIgCIIgCGKHIGMcQRAEQRAEQRAEQRAEQewQZIwjCIIgCIIgCIIgCIIgiB2CjHEEQRAEQRAEQRAEQRAEsUOQMY4gCIIgCIIgCIIgCIIgdggyxhEEQRAEQRAEQRAEQRDEDkHGOIIgCIIgCIIgCIIgCILYIcgYRxAEQRAEQRAEQRAEQRA7BBnjCIIgCIIgCIIgCIIgCGKHIGMcQRAEQRAEQRAEQRAEQewQZIwjCIIgCIIgCIIgCIIgiB2CjHEEQRAEQRAEQRAEQRAEsUOQMY4gCIIgCIIgCIIgCIIgdggyxhEEQRAEQRAEQRAEQRDEDiHd7QY8Lh5PMLWez+l0Kvh8K9vdnB1lv91TId2PwaARbef11ztuN0Ih9d9Wsd/uabvvZ7vHLbD1Y3e/PWOA7mmjFNK43Q/Pju5h5yiksbsd7JXnQO3cGPt93DIUSn/no9DbWGjt2839WaH1xW5D/ZFJvv7IN26LxjNOKpXsdhO2nP12T/vtfnaa/dh/++2e9tv9bAX7sU/onvYu++E+6R6IrWKvPAdqJ8HHXujvQm9jobdvJ6G+yIT6I5PN9kfRGOMIgiAIgiAIgiAIgiAIYrchYxxBEARBEARBEARBEARB7BBkjCMIgiAIgiAIgiAIgiCIHYKMcQRBEARBEARBEARBEASxQ5AxrogRi7e9mBJBEFsAzVWCILYSkikEUTjQfCT2CjRWCWJrke52A4idx+YOoXfQiZEZP9rqynG60wyrUb3bzSIIIguaqwRBbCUkUwiicKD5SOwVaKwSDOxYsPnRZqWx8LiQMa7IsLlDePnV24jEEgCAGecSLt+Zw0svHKOJRBAFBM1VgiC2EpIpBFE40Hwk9go0VgmGnLHgoLHwuFCYapHRO+hkJxBDJJZA76Brl1pEEAQfNFcJgthKSKYQROFA85HYK9BYJRhoLGw9ZIwrIsRiEUZm/Lzvjdp8lAeAIAoEmqsEQWwlJFMIonCg+UjsJWisEgDJre2CjHFFRDKZQltdOe97rVYdksnUDreIIAg+aK4SBLGVkEwhiMKB5iOxl6CxSgAkt7YLMsbtM9aySp/uNEMhk2S8ppBJcLrTtJ3NIghiHXDnL81VgiC2EpIpxHohD4fth+bj1kPjdnugsUow0FjYeqiAwx5HLBYhmUytu8qN1ajGSy8cQ++gC6M2H1qtOpzpMqHOpCGLNkHsErOeEAamfLg75kFTTRk7f7Pn6ulOEyVIJQgiB0YXyAcjUz6878CY3Y+qilI01ZQBtH8lHpKtSz513AqDWr7bzdpXMHOVu8ZPzgdw+IABXQ061Bpojd8oVOlze2CMm9n6aFudDqc6SB8tRqxGNb7+fDfujHqwtBxFWakcR1sNNBYeAzLG7VFs7hB+emUSg5NenO0247VLE+uucmM1qmE1qiEWizDtDOLagBOvvDlCCxhB7AJ3JhbR2++AxxeGQadEKBzHf/lfd/BnXzmaMVfJWE4QRDZ8m1CDQZP3OzeGnChVynBvzIMbg04oZBJ8/mITWizltP4XMVQxcXvh6u18+vbNIReWliOkh2+QfON2LVlI8MNdVzob9TjRZoTVqIZIBJSVynB3bAGpVAoAjdViw+YO4dawC8urcSz4wxCJgFvDLpQpZTQWNgkZ4wqQtTbe3IVHIZNg1OYXrGySb2JMO4OkeBHELjJk8+Hvfz7AzkGbKwiFTIKedlPG/CVDHEEQ2QhtQr/9tdOC3ky9g04EV2IIrsTY1yKxBEZtfrzx4RS+8aUjgus/HQrsb/JVySOdcHNwo1f45urXn+/G3/30Punhj0G+cXuss2qXWrV34Rur7/XN5ozVcbsf1/odeOmFHph1yt1sMrGDjMz6cWPQlbNvqTaoSWZtEjLGFRD53Ky5SjB34dGVKeDxhXmvx1Q2yVaemddI8SKI3cO+EMLwjC/n9UgsgdVoHG7fCm1+CYIQpG/EBV2ZAr6lCLuWR2IJfHDHjucvNOZ8Pl8lNI8vjPqqMvSNuHPWfwoB2/+sVSVPKhUjHk/ucKv2LtlzpkJbglgit/9uDrkAAOYKFTuPSQ9fP2uNW2Lj9A46AeSOSWasAul+P91VhdVoHN/5+QDa63W0LhQBYrEIU/NLrDMQV/+Yml+C+DjtWTYDGeMKBKFTsz/5wiHMOJZwd2whnUuqy4wxW4D9nm8pgq6mCthcQQDImBzZlU0ylQMdRCIxlAoptGp5hjIvZMQjCGJruDfpxccPFhBcieJIiwESiRi9Aw52znl8YZzqMtMcJAgiB7FYhGlXEJ5ABHKpBF1NFSiRS9E74IBMIobby2/IZyqhzTiXcq5ZX1WG1WgcvlAUNk8I1od5qyh0sTjgjo3sTZbFqMa3//FWRj5TQpjsOeNcXIZJr8L5QzX44K6d/VyFtgRqpQxdTRXw+MI4dKASJXIJPrzvID18nSSTKTRZtLwyrbNBvwst2tuIxSKoOGOSu7bYnEFWLnzyhBVX7tpZD2ubK0jrQhEgFovg8q7gbHc1EskkorEk6qvKIBGLMecJkczaJGSM20GyB6mQtxvzXk+7CR/dn8ece/lRLqkf3MFvPdGIKUfaIBeJJVAil0KpkOJoqxGr0Tg8vjCOtBhwrN3IXs/myVWoFTIJnjlbj9vD7gyBS+WJCWL7uDe5iDGbH6FwFAv+dJ44uUyMMwer8OHH8wAAo06JznrdLreUIIhCgjlQE4nEuHR7lj2djsYTWA7H8LknmzE1H4DbF8YP33vAazg53WnG5TtzrC4gFotwrrsK8WQSzsUVGHRKvH/bjqeOWmA1qtflQZ/PA5/YO5zpMkMmFWM1mvZyqDGoUVoiRTKVDkkbt/szNtz0jHMRi0XoG0mHcHG9hzy+MKLxOC4crsaH99MHb80WLS7dtueEe33uyWaEVqLUt3nghv/G42k5mC3TwtEE/vi/XkJXgw5nu6thLqdQynzY3CGM2f1466PpnDF5uqsKYnG61s/yahz94wtoserYfWMymUIklkDfiBv1ZioIuF+Jx5M40WmEc2EFq9Hkoz1MiRgnuozkPb1JyBi3A2R7pHU16jE4tYjh6bT7+hOHa3LcrE93VeHWcG5Mdk+7CW5vGBqVjD2R6B1w4PmLzfjFlUnEEkl28f/B2yNosmhRYyjFuD3Aq1DbnEG4vCvs9c91V1F5YoLYJn7ZOw2nd5lXAX/mbD1bLvzUwSqqqEYQBAvjbQMAXU0ViCWSONtdzW70a6xqJJNJDE15EY7EBT0VMiqqzvpxotOEN65O5cgji1GDerMmbwiY0xfGB/fmMDG3hCMtlehq0COVAoW07kFs7hBs7hAciytsMaESuRR9w24ca3t0sBuJJfDhfQcUcjFGbQH2uRf7esXV800VKpztroZIBPQN5erxjH4fjsR59fLp+QCePGbZjdsoeGzuEPpGXHB6w7AYVAiF0+ORa/Q81m7EWx9Ns/shpzeM7/zLAOqrNOhpN6Grjg46s7G5Q/jrH91Fi1XHOyYj0TjOdFfhf/5Lbo7j011V6B1IPwNPYBXfeqWPZP8+JV1dV8SbM+43n2ikA5pNQsa4bYSpVpob4mHHs+cbMesOYsa5hFsjLhxpMbJu1gqZBKtR/kWaySX10gs9+LDfgaEpLzob9FgMrCISS+BsdzWvEe+iwMLu8YWhK1PAubiCSCwBuVRCwpMgtoGBGR++/9aQoLIz71nGr5224oClHB1WUhYJgngE46FmrlDB4wvzHtgNTCziwpEavHPTBkA4B6zVqMaLv9aKhaVV/PN747zyaGIuAPRYBMNam2u0+C//6za6GiuhVctxY9CFeDKV4VXBF9JKynrhYXOHcPnePHr7HbwHwOFIHBqVDKVKGXxLEYzbAzhgLWef++T8Ep44UlO0Rg6+yBONSoaDzZW8cyuRSOL3f70Db16b5r2e2xfGjCOIjtry7W76nsLmDuH9O3Ysr6aNbhKxCPqyEgDAR/fnHx4iqDHvWRbcD90YdOHrz3cX7VgVoncwXWFbKAe5PxTF6Ax/scDVaBznD9Xg+oAjr+wn9j5isYidX1yYPQyt75ujoIxxra2tMgCvAKgHoADwl6Ojo6/vaqM2AXNCNjG3BHOFSvDk68LhGvz/7L1pcCPnmef5R+IiLpIAiIMkCJ5FFgkW6yDrUl0qXT5k2RpJ7bbslhxtb2+Hw7PTMTER65B3HO3xh3ZsbPSH3Z0eu2Pa7ml7otVuy2pZ8rGWJZVUp6rIukjwvgGQuA8CIECAYGI/gJmVADJBkMUDIPMX4QiLBSTezHyP533e53n+qykSK8kUREKCDrMuJMrgDcZx2mKEUS3Dt14+Cr8/CgD465/2F3TihZeTWWHcFDq1DNZpP/3fUwtL/GDi4dlmBueD6N/A2HH6lvHvLjZDX8WnUvDw8DyCWaQ8GE7geLuOc60Phley1vrc2lPW+SBuD7thd0fQ01aDRf8y62861/+em9YKZA4M9RoZultq6M2uVCyEzRXhTGkVCICbVj5irhTpH3Mjlljl3GiHIgmcthgxYQuhu1ULS4sGv/jjZJ4j+KBtvKkoLd9SIu/ZKWRiONxR1u85/TF479hg1Mrpes9MdGoZHkx68fwZM2+LM5hwsKs4UpFZfZ0GyKRCTNhCBfdDd0bcvDOOAbW+5NYgZ3K0TYuBMQ/r973BONQqKeuz/uCuA8/2mQ585Ox+gSAEsLny+wcAzLsi65FzPJulpJxxAP4MgH98fPy1jo4OLYD7AMrKGccs3GrUymFzrbF+zhOMo6tFi1/8cSKrtkQimUIwkoBeI2OdEPVqGbqbHy0i1EJ9uLEaidUU50bf4YnCoMle+KViISokoqwJdDP14rbLacc7/3j2M0PzQYAkYXdHCxo7bQ1VvCOOh2efU6h2LBfMIuWJ1TVoq2UYmvKxftbDiHYHstd063wQf/fWIL3muwOxzHzEYlzrq2WYd0fotNZbw26M24LoMKtxttuAf35/AiqFpChl97H5IEbnAvS8x0dN7A5cfYv5d4IQwBWIFzwA7jBX4+qDRSRW1+AOxCAAWDfen44cHAVQytZXV0ohEQnz/j0YTuBou451rW8wKNE/4ka9TpF3SE7Z5TVVMt4uZkAQAkwvhDlTKKnILCCTxp9MrXH2aZsrgkA0CY1SknV95pg4SM+eKd5SIRGx9skqpQR6tRzzLGuFSa/E7GJ+9DSQedY/+c0ovvF854GZG/YzBCGAsUbBOq/V1ih4Z9wWKTVn3C8BvMX479ReNWSrMCWhl+OrMDepOJ1q0+t13CjlqoHRjGz0hWN1SK2lWSdErlpSZy1G3Bxyot6sZP89jQyKCgl0ahm8oTjaTdUg02mM2YL076jkYlw6VrfhPeZKtlMn3JtdwHKv89RJM3SMxZGHp9wZtYfg8EawHEuhua4SNneE09i52LPx2OPh4SlPctc7S4sWI7MBjM4Fs9ZRkYgASaaz1lJXKA6SfGQTfDhgx4kO9o0+M9pdKhbC0vJIUfDOiDvL5giGE1BUsM9HUokIN61u/OllJcx6Zd4af/RQDW4Pu+nvFDpoaKxV4f54dlQFVwotz+PDZaNx/d2gkUFICDht1WQqneV09XA4OaYXliASEQeiiDeVNl6o37fWV+LhhDdvbKnkGSd2/6gHL11uxaQtBE8wjroaBbTVMlx/uID/+OVj9HcOmnOIC18oDqNWTqv8UnhCcfRoFfTfKiQiLMdXOfdDJr0SP/x5P/7DK0chFgtxY3ARI7MhnD1igCsQx7Rjad9H7+Y6H5/ozkRAU7XfqPp7TXWV0FZV4KOBBZzo1GNwypfXnysVYhCEIlPaIAdqPeLn+v1BKkXCbFDi4US+zdBgUB6IuX8nKCln3Pj4eBQAOjo6VMg45f7zRt9Rq+UQsZxKsaHTqR6rfcUgIAhaErrerERTbSUeTuZPXurKCkzaQlkFmClF0yn7EpKpNbxwoQVz68poVDHdn7w7jIa/OIOuZm3WPXmjSXzxYgtWEmuwTvtZBokKnkAcU44Q/vp/OYPVFIk/3p6HiCBwrEOHzkYNphwh/PgdK9rN1Xj2dCP9G0xGZv0sNfAW8MrTbbj+0AlLswaXTphYv1vMdX7wl2c3/O5+YDP9djPsRh/fbcr1nv6/G7OIrCThcC9jwRNFY60KF4/V4abVhdNdRnrct9RX4eihGvRaave6yUWxE323XN9xIfh7Ki320lbgWu/6Og2Yd4Vh90QQT65BAGB2MQxjjQItdZUwqOW4N+HBvDMCg0aGFy60YHZxCd5gHEaNnNWJ1mhUZRXg/9HbQ18EhBcAACAASURBVPj+us3gcEfzbQ6pCJd7G+ANZRfuv2V1wmxQcT6LkxYjZhbD9GaXUnZna5NcKspT3gMyKbSFnnU597ftZDN9l6uv/dVXjuP//pf7WX+/+mARX/tMByKxVWgqK1jfXUeTGm++P0H/jc35RGV2CATA935yp2g7cLvZzf4yZsukjef2e6aC6q0hFz5/rgnuQAwOdxQ6tQyKChFq1FJ6HN4adOFktx4dTWpM2ZcwNOXDyU4DZHIJvNEkPrnnwPB6bei9eKaPw3baCiOzfhi1CtjdEXqvRM0lHY1qjNmC9Gcph1JtjZx1P1SvU0IgEOD9fjvs6++lt1OPf/tkBvFEJgZkt/cku9V3R2b9+OSeA6NzQTzRY4TbH8OkYwmtdVV49bkOjM0HYHdH0FRXiZ62Grz98RSWokkQhAAmgxKfP9eERe8ynL5lmAxKEAIB3r9jx3OnGzmjPBOraxvO9aXERv22XO5jp9BXV+BLF1vg8ETh8ERh0ith0itRUyWFWq3Y6+btOVvpHyXljAOAjo6OBgD/BuC/jY+P//NGnw8GY0VdV6dTwetlz3PeLmyeKK4M2LPqGYzMBvDqcx2wTvuynGp3Rlz4zOlG/PrqDKuq4gd3bHC4I/AEYwAEWQvKR/126JQS+p6YqbEyqQhf+0wHJu0hzLsi9O/9+uoMxEICLz/VhnBkBT/82SNjrcGgwpvvj2e149qDRdYUko/6baxh4mNzQbh8y5h3hvFhv33D9BOu61D3ttfs9GRbbL/dDLvRx3ebcr2nezN+hGNJ/OuHk3nj+6UnW/HpkAtNdZU4010LoQA42qzZlvvcDSNhu/tuub7jQvD3tPlr7zR7aStwrXcryRRdJP+21ZU1Vzyc8OK0xQCSzPy3zR3B4JQfZ7pr4fQvIxBO4Avnm+HwROELxXG4SYNqpQRvfzyNKqWE1Wbo6zLgvWv5NscLF5px5a4f6kpp1vc6zGrOZ1GjkODS8fqsz9+yOnG+pxYSsRCT9iXoqisglYjw/h0bHdl3trsWNwYXN7x+uYyhUuq7AHdfu7n+zJmc6NDj578fyyuV4gnF0WioRKVCDE8gRr87Kpoy1+maKyZSrB24nex2fzlsrsa8M5OaRzl/EskUaqplWWrpc86MmMPF4yZ8cCfzbr6ia896XvV6ZZ7QwLUHizhtMeDqg8x72+5nWmr9thDMPQ6Qr0rb06JFLJ7ClD3jICXJNG4MLkIuE+MvXuzGzOISxueCMGjkqNMp4Qoss4rf9HUa6LkJ2L09yW71XeZzPNdTh7cY4j3zzjCkYiFOWwxIptZwf9wDbVUFlqJJAJkx3p8TWT005UNPmy5zuJJO443XevHBXQdsjL3nrfXU4UJz/WbZy/1ZuaxLOwVBCLBKAr++OgMgEyl9d8yDu2MevP58J/z+6IGO4i3UPwr1W2KnGrQVOjo6DADeB/Cd8fHxn+51ezaDwxfFwLg37+/xRArWGR/OH69Hh7kaoUgCK8kUjh3SY8EbZTWaPIEYzh+tQybYUwCdWoa+TgOdi00VZKagwuWp33vr4ykICAGSqUyU3I3BRZBkmlY7ucUw+gsVOb3FSEEBsotI50KpsnJ9t9jr5N4bD0+5MWILYmjSjwk7u/KUwxPF5d56tNZVQSImcKy1fE66eXh4NsdG66ZBI0OCYw1eXklhbY2EVCyk/xaNJ+EPreDjew74luIwG1So0ylgnfZh0rGEEx16eILxrOtR62pgKc5ucwTjkIgJWlUdyNgGZy2GgvfV3ajGG6/14rNnGtFUW4mnTphg0ivh9MVwpFWLoWk/Bkbd0KtltPOGckBudH2ezVOor9lcEdpGA/JtP8qBMTTtR0dDNR5MeuAKxLCaSuPisTp0t2ohEQnR3aqFUCjAi5da0HtYj9b6KqTT6ax+Y9TKAaCgHVjunLUY6XFJPbtZ5xKSKTJvjEViq3CtC6JIxULMLoaLssGXV1L0b1B/28/PlAtm+R/mXCgkBPirPz2G//b2EABkPSuCEKCvQ4exuQCsU37o1DJIxEL89sYsYivsz5uam5jspz0JtVfcqM8FwwlEYqtY9C7TczXz84nVNbj8MURiq1hJZpSWz3QZYNYr8WyfCQCy9p78XL9/EIkIDM9kDuCofkD9/+EZP0SiknIrlQ2lFhn3XQBqAN/r6Oj43vrfPjc+Ps5eoKJEsM4HcX3QCZdvOS98GgC8wRUseiK4+mAR6kopHJ4oZ9FXICO2kE6DTgNgngLdGFzMKsjMZnzJpSLMLYbpAs5MIrEkZkMr9H8XKrqcq8LGLPIJIOukNFeVNfe7THKvw2QzAhI8PKWGzRPF//vLwcLj2x1FZ2M1tJUVONxQvcst5OHh2U0KrXfGGjn8oRXOGlzeYBw11bIsQQbq4CsYTqBBr8QvmdENrkhe9BmQWVcBYHqBvcj23GIYF4+b4PIv06mqHWY1awQOW92xLz/ZClcwjh/+fACR2CpdM7ev05BXhmPBE8UXL7TA0sR+fZ6tU6ivmY0qPJz00jW3uGy/TEpZCGpVBSokIqTWSDoiBnhkj57sMsA67UdHoxoOTzQrPZN63wKBYN/WO2MTNrl0rA5//+th1s8zD6ydvkcKxoVscG+OGAtQ2LbejxCEAALBo/I/zD3WnDMMlUKCEx163B7JLv9x2mLEuyxRwBeP12N8Psj6W2zPe7/sSZh7xWL7nNO3TPdZzs+H4njjtT4Y1RnxsQadEt94vjNb8Mdi4Of6fYJUKuRUiXZ4opBKhUgm2YUrebgpKWfc+Pj4XwH4q71ux2aweaK0OplULEQytYbl+GqWMXyooQr3xn20FxkoXOy4waBC/0j26Rd1aqOSi7NOGNiMr0LXNmrkqKmqoD9f6LNsi9BZixFXHyziRIeeXvSOt+vQ2azB8Gyg4Hdzr/PxvYW8+gL86QlPOfPpiAvt5mos+qKo17EXD24wKKGrVqC9vnIPWsjDw7PbHGmrwehcEO5AduSZRlUBAgIIhQSnGINYSCAYTtB/q61RQACgwyzCnDNSMMKDskuodZXLUaNTy/DBHRsA0Kmq4eUkPnuqIasgs80Txd/+y30oZGIEw4ksVdRbwy5EYqsAMnbF58/V4nc35vI2wy9fbsMzJ+of42nyFILLtjrWrkM88chRppRJEF1Jcha4F4uEuD3igqVZw9rHqNpaalUFxCICDQYVLUJG9SHAjzNd+n27EaeETZiiFYcb1ZxjzDrth0RMoL29mn7uhWxwnVqGCVswS7RgvziHimXOFcGVu/a8eeTC0XqIRQJcve9AcpXE6S4jbgwuQioWwqCRwe5hnxsjy0k0rYtp5aJXyzDECCrYT3sSkkzjVJce7mAMHWYNkqnUhgJAzXWVuDfuQXKV5OyjXU0a2hFHwSb4w7M/iMdTMBmU9DikDgYTq2sw6ZWIx8tOd7MkKClnXDlya9iN1TUyqyhyvVkJvUYGmVQEkkxDr5ZDKiZgd0eyOi5XsWOlTJK3iAD5JxAUucZXYnWNUyHt5GE9ANCfL9QOtkXIrFfiWy8dwd+9NYjVNZI+Cf2wP6PuJoAA98Y9eKLbUHAiZjtVfOpkQ0nUi+Ph2Sw2TxS+8AqWllexFE2i3axGh1mDkdkAvWkBMuOqp03HO+J4eA4Io/YQPr63AAA4cViHKoUU/qU4Gmur8PbHUyDJTBog2xqsqBBhjUSWA69SIcHV+wswaOQAR/aUNxTHkVYttFUyHGnTYmQ+gP/5/gROdekLFtkGAE8wjrPdGTGZ7/3DnSxVwQlHCO1mdV6EysC4B6FoMuvaTMcjBVWGg2fnYLOtLC0a/OjtIXotojZSrz7XAetUfoF7kVCAT+47YNTKC0bQZJx2AlQrpQgvJ1gjIW+P7k8VRYIQYN4dwU1rJkq01VQFo0YGghCwjjGdWo4nT8jw1MkGuP3LuD3sLmiDy6QiHGmtAZB51kcP1UBeId43zqFiYZbhAdbTTzsNSKZSmF1cpoVhkquPDiCSKRKL3mXW6y36lvHMaXNWjU4g845a6quQBujoYEXF/tgiP4pmDqK3Q490moSQIAquBVKxEL2H9bh8vB43rC4IOfo1IMAvrkzRa0RuNhXP/qNKKcXFY3VYXnk01ysqRFDI+f37VtkfM80eQRACjM4H8orXUsVAX3qyFb6lFdwbc+OzTzTBFYhnGSkPJr34ixe7MWkLZYXzfjriYv29zsb8Ewgg2/gamw9Cp66AQavA8+easLCuetPWUIWLPXW0UfTy5VZMrMupJ1dTWSpthVJUAND54ud66vLuWyoW4i9e7MZNqws//e1YQXnw3NOTg14Yk6c8sXmicIVi+Mf3RrPGwr0xL159rgND0z54g3GYjSocaa3ByfaaPW4xDw/PTmPzRDHhCOFXV6bz1sjTFgNmF5cgFhJIkGu4PujES0+2whOMY24xjNoaBZrrKiGrEGFiPgizQYXG2koYNDLcHfXiyRMmPNFtwE2rCzZX/prZ3aLFl59sxdBsAFfuOuh13eaO4nS3ERIhgamFJRxuVMPSrKFrLgEsxfjXo9/+w5ePst7LS0+2weaOwOV/VKZj1rnEmcoytbDER0zsMLm21S+uTGUdCgEZx+iUI4SXL7diZiGMxXV1xLoaBRY80UwtwhoF5BVizgjvdBqYsIXQ3lgNbVW2cAHVPy73Nuyr9005Nkbng9BVZ4rU2z0RzLvCdPpuX6cBiWQK3tAKDjdm7Pomo4q2c3VKCb79Sg/ujLgz41eQzrPBm+uq8oTVpGIhTnTo9vgJ7B5sZXjY9luZfmaCulKKpWgSfYf1CEbYoz5raxQYm/Xj1c90YMIWhMMdhcmgRH2NEm9dmYJYSGQJ2cik4rJ2JueKX1ClDE5aDFnO8+a6SujVcvSPuHH+aB1OdRnQ3aiGzRPFp1YnVHIJTlsMtANGr5ati/PMA8jUKxeJhJh2LBXc9/GUPwa1DG/250ervvpc+x63rHzhnXGbhCrkSZJpWOeDqNMqOAthzrsjcPtjON6hw49+NcSiYNaCKXsIf3q5NcdYMeLK3c2lcDKNr8xpnRszi0vo7dDjxQvNMFQ/cuIRhAA3Bl1Ip0nUVMsxOOVH/6iHDjm1TvvhDcaxmlqDpUmTNaFSi2OhAqCfDjkxtL6QMdNYuCbmYo20/WTQ8ewf/MtJDE76WcfChC2IRW8ELz7ZBmOlDCe6a3mHMw/PPoVao6h0znazmrNIdiiSoGvzkGQad4bdMBtV+Ju/PINUiqSvEwjFIZeKIK8Q4UizBl8400ivg1wpiZdOmDDniuC/rpfQALJrfdUaFFBXSnF/wod0Oo1vvXQEI7MBTC8sQSBAXpsB4NOcSBLqXuYWl+j13ra+0TvTXYtonH0zTKXZMddzfm3fXqjnST3nQqIOsZUUKiRCHDtUg/f77XB4oqirUeC0xYjuZjUqZBLcGFzM62NCQkArfQYjKzjSWsPaP8LLCdg8EZhqyntjThACzHsi2aqeOTUaqfRdKs3vixda8LlTDQDy7dzuRjV6mjUQiQh8/6f9uPHQSdvgE7ZMTTO253n1/gKq5GI06Mr7eRYDW51qrn1HJJbEaYsBYpEI712bQV+ngTWS6+KxOozMBmCd8iEaX0WVUgK3PwaHO6MCmSDXOGv0leM8dW3Qyfq8SDKNu6MeAJm08kXfMv78c4fxwhONWaUJqPIDkdgqFn3LUMnFOG0x4tqDR3PCuZ46OtITeHSA893Xe9FcW5l1PZ7yhiAEmOQQp5t0hPBMr2mPWlbe8M64IrF5org66MSUPQRjjQIdDVWYc0WgrZZhaMrH+h3qZJipnESRWF3D7OISwsvJvAmeLc2g2AKYJJlGOg2IhEClQoJILIFETjFFaoH7+N4CdGo5HZJs0MhA5b3o1DK8e20W716bzXKkUd9NrKY40xc8OUVQKQWorZ6SsBWM5k9ceEoBqz2EZCKjkMqGwxPFU31mSAgCDQa+z/Lw7EeYa1R3ixqJJAmFTFwwxa/dXI1rDx6JLOjUMlQpJFnFj9lq7xRjK3Q1a/Ff//UB+yYsncY7V6fp+m5TjhB9YPbVZw7he/9wJ6+96kop5lki8AD29X4lmUJnk5qOLqGQioWwtGjwiytTmLAt4ewRA1yBOB9NsU1w2UpctQLrahTwhuLwpdYwNO1Db4ceSpkYrz7dRvcznU6V18e0VVL8yweT9HUUMnHBNXBoJli2zjim7V+vV6Kv05Al0JZbo5FZAL9/1I3nz5jzHDi584XZqMKUI0TXlS6UHuwJxmGdDR4IZxyQfeBQSHjA4YnC5Y+hWiXN7DmszixBEbNRhWd6TTDrlehsqAZBCPDmh5P4w21bJiWzU08fHqjkYjTVVmLOGcYhU2avV457EMpxwobDHYVBI1+Pao7haJuOduAzv5/ryFfIxJiwPXLGsDlIqVTiP/Tb4XBH0WBQ4bQlE2nHU94QhAB2jqh3uyu6b5SHdxveGVcEuWG+NncEDye8uNxrwocDmVppXIUwvcFYQYP8tMXIetKy1QKYuW0FgA/6HXmRadQCJ5OKcOl4HTRVMix4l+HyLaOvU4+6GiXuT3hBkuk8R9pZixGfDrvQUl+1YQFQiq2eLuWHWG8cacfDsxvcmfDBOu2DLxSnC5rm0mBQQlMlw9EWzR60kIeHZ6dhrlEEIUB3qxYT9gBC0SSnbaDXyLCaSmdtaBQVIrqmay6F1ksuW2GMQzHQ4Y5CIRPTzjgg+8CMzXETDGfqgRW73rsDMXzrSxa01VVx1i4711OXlfbKr+2PRyFb6dKxetwcctLvnCAEOH+0Dul0GqspEsYaJXo7DSAEQE+LNq+/MfsYAPz1T/uzPrORCMGDSS+rU6rUYbP92dSKmQ445nhgE1sYmfXnvafcmpGh9VTL/fY8twJ14PDpiBuT9hD0Ghmn8J3NFab3WySZpgUd1JVSuAMxOlWY+ndqHwQABo0cCpkYnzvbhAVvBAueTNp9S30V/q8372M5nhk75TRPOQMxGGsUnOm6Tl/GqUIdkuRSjEAgm4OULZV4YNSNb7/Swzvk9gH1evb9jqnEx0MpwzvjiiC3gCiwHn4fSyJNpiEAe2HLCokI7kCc00jRq2Xobi48MW12seVqa65DjVrgJhxLcHgirKpnlMGRK6Vu1ivxzRcsGBh1b1gMmqLDrM4qdpt7usTlTS/2fnh4dpO7kz7843vDdN985alDrGPhWLsOx3lHHA/PvoW5Rp3trsXV+w60m9VoMKggJMAxL+hhnfbBbFShVqtAnU4BuVT0WGtarq3AFQ1VW6PAgwlv3t+pdZ4t9RUATlsMWRss6l641nuSTHPWLiuUbsav7VuDy1b64K4DLn8MJ7uMMGrk+NTqwvEOHX5zfZa1lmEhi5PqY7l9q5AQWIVEhJoqWVk6jrieKTMSDnjkkM4tgM9WWuaTe468a14fdOIrz7TDv7SCcVsQTxypxaJvmfN56qrL83luFWoe+f0dG9yBGKfwHdt+i4o2pCK/cq/7xmu9GJ4Lon/EjT956lBenb57Y168cKEFb300mXXNUp+nbN4o/vbN+3jmlJn1eTUYlPCF4ug9rEeFRISR2QCro2wjgcBc51yhuf3OiJt3xpU5qRQJS4sW98Y8eX2qq0XLpyRvEd4ZtwGF6m04PJkw39xw6Ka6SqytpelQdi4j5eLx+m0NNS/U1lyHGpBZiPrH3FheYZ84E+sGR+7pnsMXxcCoB9cHs+9bp5bhaFsN3vzjRNa1qFOXv/lZ/qntt1/pwfCMH2PzIVhaNDh1WJ/loNvM/fDw7AZDtiDuT3qzxsw7V6fx4sVWLPqimYLAeiV6DunQ28aLNfDw7FcyIk6ZCDRqExKJrUIpk2A5nsS9CW/eGmk2qjA87YOIICAWEnD6ongw4UVtjQLP9pq2bU3jqifXXFeJ28P5IlFMBxpTEKrBoIRSJsHonH99vQ5khKKqK9BUV4Xf3pjNug6bEyK3dlmhdDNqbecpno3qwiVTa/howA6pWIjvfr0XH/TnO4SoWob9ox6YN7BL2frWvXFPlggBVeD93rgH33rpyOPf5C5T6JkyI+EopdQLR6XQrzs7P3O6kbW0DEEIMDwbyLseSaZxc8iJ7//5SQDAmx9O4uqDBbz0ZBvmFpfgWZ87Ktaf56XjpiwFy4OCpUmD39yYyxIe0KtlONykwZwzXNApzFVzm3L0JVdTmLAFWcfFojcKlTw7mrhU9yA2TxQD426Eopk6b5kMrEfCC5RKrDcYw/LKKhyeKBKra2iqrWS9H7NeiR/85Vl81G/PKoXw1AlTVtQzVZKg0Nxuc0UgEhG8w6aMEYkITNmDeOFCCxa9UTg8mf1OnU6JKUcQTx2v49/vFuCdcRvAFqZLoauWoadNi/H5EOzuCFrqq/CZM42QCgX4m5/dpSe1W1YnzvfUQiIS0gpmZ7qKqwG3XW1lC5cnCAGt8MqGJxiHQSPPWsSs80EMTvkw5wznhYFbp/0IhhP4zp+dwC2rO08hlqsYLVPs4cN+Ox3+vdn74eHZae5N+7GSSOUpBaZSJN76aBKHG9X43NkmSKVCHGvmI+J4ePYz8+4I9GoZbK5I1iZk0hGEiCBY10hvMI6aahlqa2S4zkh12+41LbeeHGV3AOzResx13qxXQiAARucC6B95FA330UCmKPerT7dh3h3BrWE3Lp0wIRpLwu6O0sqRbLYNcz0vlNbIr+2bp6CdykibTKyuwToTZH3uQMbJJMDGghpU37o+6MSEPUQ7it7+eAqKChFeerIN1x8uoloFnOjQ40dvD+E7XztRVo6jQs/UpFfCHYzRTjdm+uNzfdwOdZJMw9KswbyT26alHPwkmcbbH0/hwtF6tKukmF0Mo6aawPmjdXj/zjxIMl026ZLbhVmvxHe+dgK3ht1wB2LoMFcjmUrjn98fx9nuWkjFwrzgiI5GNc51b+y0vHC0Hv/PLx+y/pvDE0VTbSWGGOn4pThPUWnVz54y0yrbN4cyz0MsJFCzrv4rlYjw4YA9q/2F7qerWQudUsIa0EH9rd2UKUkws7i0rtydP8eYjSreUVPmkGQaMwuZYBqqtuLQtA83h5wwG1QlNybKBd4ZVwRPdBsxOheEOxDLq/EyYVvC0LQPrzx1CBe6jfR3uAQYdvokhes0nO1UiCTTMGoyKqtsE2ejUYVn+kx09J7NE8XfvTUIAFmGNBUGDgCHGqph1ilhvqzMqhH3j78bY23vRmIPm7kfHp6dxO6N4uagE0Cas0acrloGhUKM7obq3W8gDw/PrnLT6oJaVQGpWJjlYPKHVjjXSJ1aBqVMjA8H7PR1dmpN46onV4xA1E2rC+5ADOpKKYLhRCZafnUNN61uNOiUmf89mb3OA4VLazDX881GsPAUhstWyk0jfjDpxeFGDasgh04tg0EjL8pGNeuV+Oozh+AKxnFjyInh2QCePWmGtkqKf/1wElVKCS3qoK6Uon/MU3ZOo7MWI24OOaGQiekxIBULIREL8c3nu2BUZ+xn5vPa6NldOmHCh/12zn4/745AV51x8JNkGp/cd9DO/HqxEp/miEeUerrkdsNMWX33WiYqV6+W4d64B32dBggEGeeZpVmDly+14ki7vigFe41Skqk7x1ELa2j6kVBfpoxP6c1Tt9YjnisqhLRDLPdA6NihGtwYdGb102LnXba+zSxfZNYrIRIRGJoN4O5ofhrjqa7Se2Y8myOVIun9TyS2muWgNhmUvLN1i/DOuA2gVI8gAPo6DVDJxQhFEzDplRAIBPi3T6aRSpG4cteBSz21eRNTrhG8017jzSqxnjxswEf3HKxG8dO9GUccdQ+3GNLVxRjSzEKpxZzaUjDDvx9HWZaHZ7sYsQXx6bAbvlAc9XoFupq1rMaGpbWGd8Tx8BwAqDQ2TzCG5883Y94Zhq5aRq+LXGukokJE1+nZrTWtUEF+NpuEIAQQCAh0t2rhDWbqMFVIRLhldWalkVLqe8UqnjPX80l7CC9fboMnEMPUwhK/tj8mubaSSa9EOp3JzGDSUleFsxYDPs6pXbaRiAgXRrUML19swZ882QogI+4QT2RKnzAjlLxLK7B5oxumwJYaJ7uMmLKHcLRdhwa9EhUSIQ7VV9GOuM3S1awtaNPetLrz5g6qNpdSLs4TXynVdMmdhCAEGBj1ZqWrdq1nIniDcfzgm6e25BTgqovZblbTSrk6tQwdZnXJ9WNqPTJoZLC7opx96IzFiDNdxm3fU9m8Udxi1AT/ixe78XDSi3lnBGajCqe6eDXV/YBIRMDSrGHf/zRrIBIRWYrwPMXBO+MKQIX8ApmTvYFRNwDgcq8J762fyJzuMuLG4CJniO9eLJCbUWI165V46oQJJr0K0wtLcPqX0W6qxvmeWgDAL65MYWw+hFNdeozNP6p1wVYn76nj9ZwTerGntlKxECc7DXmh0LsRVcjDw8bgXABvX5mmI2Nt7ggeTPjw2uc7MTLrz9SIMyhx/JAOvYf4GnE8PAcBkkzjVJce716bRWwlU2/I6Vum6/MseKJ44UIzvME4Zp1h1GoVaK2vQrupCma9Et2N6j1f07h+e84VwZW7j6J33IEYDBo5Lh6rR12NAm9+OElvuiwtWvzdW4NFq6Kyred7/Rz2C8xnO++OZJVLAbIPTF++3Aq7O4p5VwS1Ndl9cyvkijuwKSo+nPCWTVplrv3/cMK7be3nsmkzDpUg7J5IXq1JXbUMq6mMQ4WKcgqGEyWZLrnTkGQaZ48YstSYKRGSly+3bTk6p7tRjW+/0oM7I27YXBknUl2NAv/zD2MQCgRQV0oxYQvihSeatvFutgdqPbo37oXTtwyHN8rah5rWUwm3a09l90ax4FvGm3+coJ3EzDWgpa6Sj5baR6RSJFaSKZy2GJBcJZFMkZCICEjEBFaSKf5dbxHeGccCNUFdH3JmnbxQp8OReBLAI1UllVxckqkVxU6ylGHwXJ+J/l6upLvLn5H5plIbmKHPF4/V4cLRWphq7vAVawAAIABJREFUuA2UJqMq7zTQ0qLBj94eApB55tTCcXvEhfByIu90/aAZHDx7z4MZP+6OeQAgKzoknkhhZMaPlWQKz502Q6WU4IiZP/Xj4TkIUJFgo/NBdLdqUamQ4LNnGzGzEMacM4K6GgUsrVr85sYcnjxWhx984xSA/DWsVNc0SkWSuS57g3GskSQcngiur6c5ufzL8C+tbEkVdbMZA7zDrnhIMo0GHXtWAQDatpOKhTBo5PCF4vj8GfO2CIpRqZ3FqOWW8jvlsv9vDDlhfvrQtvwG23xAOTNza00eadWiSinJa5Nln6q1b9Q33IE4a//yBGKP9bvdjWp0N6ohEhGYc4XxwYADR9tqssQPimnfbsJcj/RqGZpqK+H4OJrXhy4crdvWTC3rfBBXHyzAE4ij3aym7WOSTB/IFOqDAEmmYXNHsUYCKZKELxSHXiODkCRgc0dLZkyUG7wzjkF2qoUaerUcv7oylXfycrnXBINGDps7Am8ojjde69tyyHopwRxEuZLuXGk3AHCkrYbTEZebvvJEtxGvPt1G/xZVjFVACHBl4NFJvM0VOXDFaXlKiwfTfvz9O9a88f/EkVpcf7gIhyeaKYgrFfGOOB6eA0LuQZXNFYF12o8vXmjBhC0IhUyM+xNe2tlxxmIsKwOVqSLJFt2UqZdUixuDi1BXSuHZQBWV696LjYwrNgWWhx2RENBWVUAkBASCTC1AZuoaVSPrptWNP738+M81ky7bhx+/Y2X990l7KC+lrdTeqUhEQCQkMDC6yGr/76QjhplFQtWalIqFuHi8HgCyolBt7szcs5/sZK7xnjtfTDmWWL8/tbC0Le8nlSJxY8iFqw+yHVqJ1TWQacDlj6G1vnLP+y7bejQ05cf5nlpcfbCY1YeojKft+t3cvshcG4DMGsCrp+4vRCICMqkYV4bs+XNjXwP/vrcI74xbhy0S7EirlvXkJbychFiUqZnS2ajZF444JlyS7resTjx3uhFIpzE2H2RVhWUugjZPFH/7L/fp4rds6StUVN4vGOHmFPzJCs9eMeFYwsNpH2ufJNNpSMXCjMDJSRMaCkSE8vDw7C+uDTppRxtT3GBmcQknOgxYjichEQmhV8tQo5ZnKS2WA1R0jsu/zBndtJJM5YlW5MKVPkc5YiZsSzh7xABXII5pxxKrUybXLtsoBZbnEbnPTioWwumPY2k5wfr57aw9ZlTL0NmkZu0XZ7qN+OHPSvOdUn3T5o5CXSnltP93Ei4V5INgJ3ON95cvt+LGoCtrjuCqQ71dabvMfRBTgAcAnL5lyCtE+Pjewp733dzACSDTXolYiOefaMLwbGBH6nEya4gzf5daGxKrazDplfjB/xjIclqWUkQhz9aIxVdZ331sZZXjGzwbwTvjkMl5//hBdj2zQie+Dm8USO9f5S8uwQWSTCNNpvGnl1vzJlS206zJhRDazeq8AtC5aQoAMDYfZG3LQSxOy7O33J/2I51OY3Yh39ADkKkRp1eisVbFO+J4eA4QBCHA9MISzvXU5aWvLXiiWPBGEQwnoK6UYmjajydPyMpy7TprySjIezlsIC9DBb1YVVSbJ4oJR4iu83Supy6r5hObU4Zro/nBXQeeZSi98+RDKSvW1SjQZqrC8kqmv5oMShg1CjqdjGK7a4+x1QlWycVw+ZdZ3+n1QSe++sz2pH9ulty+adTKsRxn31g6vNEdb09uTTmbJ4rf37FhdC7A+vn9YidzjfdxWwgu/3LWHMFVh3q79mRs+yAqbZ9Mk1jwZEr3aCorMDC+N0rBXIETADDlWML3//wk/uTJ1m3vF1RtQzaotSEYTiCdBqYcIUw5QpxOVZ7yY87JvjeaW2T/O8/GHHhnnM0ThXXWj5mcjXehE99GgwqVCgm+8Xznvp1MNlroch1xbKdZpy0Gut4WM4Q5N02hu0WNVlPVjp5y8fAUw8CkD/6lOMLRBIw1CtbxX1ujwLFDNajVyPeghTw8PHuFdT6Ivk493rs2m5ei8fy5Jvz2xlxWWlC5HtaZ9Up88wudeL/fwToHMlXQ74178O1XejA8E+BU56Oi5ClVQqlYWFRNMa6Nps0VwU9+M7qvbbDHgamGq6uW4cpdR15/ZaaT7URfzY3w6jCr8eTxOvzo39jTVyccoT1xKOX2TaCw/d9uqt61NjLrNwPYdBRqOVHIscR0/jMdt4VUabeD3H0QV9r+8+eb90QpmCTTnHuntvqqHesTXAEbQMY+lklFWE2RWUrOXE5Vfv4uPwrtjXi2xoF3xt0adqFaKcnrXFw10qRiIZ7uM5WcrPV2w2ZIcS10XKdZyyuprOdHhTA/0ZOfpnDxWF1Rp+s8PDvFiC2In/9+FKctRswuhtFzqIa1TzbXVqJOK+ejMnh4DhA2TxR//29DONJWw7reBcIreOZkw46lBe02DTolnu0zZW0+gcwc2GFWw7+0knWfhdRhbw27oJCJ6Ug7daWUM+qOivIBwLnho5yB+yU9b7uh1HCBjAOHrb8KBMChhmq01FXtWF/NjfAiCAH3Rk67Nxu53L4JFLb/t7PuVrHto9pQbBRqOVLIwcN0/gOPHLdcqrTbBXMfNLO4hDTSrGNp3hnGH2/P4z995fiuz0dGjYy1T+h3+LCYK2Dj8gkTfnllEtMsNf1ynar8/F2emPRKPJzI73Mm/l1umQPtjCMIATSVFZh3RWA25Heue+MevPpcB5y+5WyH1AHZhBez0BV7mkURiiTg8uerIF0fdOLV59rhC67s2CkXDw8XDl8U4/NLUKsqMLsYRrUqs1k8bTHQ6T2UktZhczXviOPhOWDcGnZDIRPD4WZPU5t1RvBfdigtaK8odCj3XJ+pKHVYykZgRhsVW2uOa8NXIRGtR1rsj/S87YZy4Bi1ck6np8MTxQ++eWpXim0z30+hjZwzEIOhevdqMFN9czm+CnOTKqs/3rI6cba7FgJB5lnthU2aa19TbaJS5LuaNXl1m8uZjcY7Ra7jdifHP7UPEokIfO8fbrN+xhuMQyET77pziSAEuDXkzlLY1allqJCI8KnVxTpHbxeFahsaNQpWZ5xeLcMQw6nKz9/lh0hEQCAA695IIAAv4LBFDrQzbtgWxJRjCe5ADCa9krVzaSuluHjEeKAnjEL3vZnTLAA4dqgGA2Ne1uvceOjE9//85Ia/ycOznQzPB3HT6sKCJ4q6GgUIoQACCHB3zIMTHXqIhQRqqmUQCwn0de4fw5eHh6c4qBo5hZxIh/dBqhgbXIdyXI43NgcdZSMwI3u4onwsLRr84soUxmwhdDZW49uv9KB/xI15V4TeaFLpTzuZnleuNh/TgbOR03O3N00kmYZMQmTZ2nq1DDXVMhBC4G9+NrCr0UUkmcblXhOGpn3QVFZk9UeSTGNg1I3vfr0Xjfq9EWHJta9JMo0bgxl1zy9eaMHnTjXsept2klwHT6NRhXQ6jeuDj9IdVXIxjrRqd/19pFIkDjeqMe/iTtvfbecSSabRbq7CH27b8hRfP3O6ccfbwbY2EIQAKrmEdW5vMKogXZ+/STKdN3+X65x7kGCuGcy9Edu/8xRPSTrjOjo6TgP4P8fHx5/cievnFmsFMkVZz/fUololRToNKCrE6DlUA0ujGgDvHCoE12mWokKU97eeVi2i8VVW511Xs2ZTz5mfuHkeF+t8EP/911Za8dfmjuDisTr0j2YccSvJFEKRBFrqKnG0XYeuhuq9bjIPD88uQ5JpnOrS491rs/s6VawQhdZaNgEnpkOFshGYkT0LniheuNCMRd8yLYrT2azGj94eQjyRAgDMO8O4cncB/9uXj2LeFaE3msDOPfON7qXUYTpwCjk996q/Hqqvht0dhURE4Ey3EU7/MkZmAzAZlOhp0+HTkd2JLsrdB1DF+RPJFDzrQhdNxko01Cj31M58ojsjpuIOxLLeoaVJTf///WQLMx08H913YM4ZwfF2HfyhFRw/rIMnEMP7d2ywuyO7PjY3itzbzdp91Du/dKweN4eciMRW6Syk3R7f+Yc0JPo6DUgjDYc7Sh+i/PrqDMRCgq69R7Wx3Ofcg0QqRaJSIYE3EMv7N5VCwjvjtkjJOeM6Ojr+dwCvAVjeieuzFWsFMhPI1QeLOGMx4lSXAWqlFIfqK3eiCfuSly+3YnohDKd/Ge2marquhkwqzkpvadApORe0SydMRf1W9sTNp7PybA27N4o5ZzhP8fem1YUXzjfD7oogFEngSJsWx9tq+NRUHp4DiM0TxfUhJybsIXS3aiEQACe7DIgnMpE9bQ1VuNhTd2DXIC4BJ2Zxbiri5dMRN0ZmA6irUcDSqsVvbswhTaahrpQiEF7BvDNKO+IoEqtrGJry45tf6MRN684Vay/2XsoBpo1FOUATyRS8oZU9t5nMeiWe6jXBOhvEr6/O5BXDv9zXsOPOJbZ9ADPq7OlTDegfceG5vr2NPKNsXQiAvk4DVAoJkE7jzHq5nP3uxLj2wIU6nQJiIYFjHTr8bl0gB8iIuOz22KTmseuDmfWAGam7Ww6wzDt3Y2w+AJNeBZVcglMWIwxqOT61unCooXrP90Rnuoz423+5D0uzFsnUWtYhSoLM1Kv87uu9aFjvw/thzj0oEIQAc84l6DUKeAIxJFMkJOs1CuecS7h0pHbfHAzsJiXnjAMwDeAlAD/fiYuzFWtlsuhbhq5ahlMdup34+X0HcyKlwqRvj7hwvqc2q9ZCKkXSBlZuKHpbfRX0Ghl+/PYQ2huqChoU7BO3A99+pQfdjWrW7/Dw5DJiD8Hlj9Hqh8CjzcDpLiPujnpw4rAenz3TiBajao9by8PDsxdY54P4u7cGszaAUrEQl3tNUMpEePlSK4zq3atxVYpwCTjl1k+i7IHfy8V4l6FGCwAufwznjtSylrAAMrWFXn26DQ26nSvWvpl7KXVybSylTIznTprQaNibdMu89umU+HDAwfqso7Hkjrex0D4gsZpxHvzHLx/f07Gda+u6/TEYNHJc7q3HP/52DOd6jFnZPfvNicFMwVTJxSA5xBN2e2ya9Up89ZlDcAXjuDHkxPBsAM+eNO+KAyx3PZpfX4/6Og341ZUpvPF6b0nUNM/MP3348TvWrJrhFA5PlJ6L9suce5CQikR479oMgIwYUzCcAABc7i0uoIYnn5Jzxo2Pj/+qo6OjaSeuzSzWevRITV7YN5DJ/R+dD+LlSy0lYbSUOsyJNLG6Rk+8t4bdEAgy/w4QiMSSsHsi6GxU0842s14JVzCOH/58AJHYKgBgdnGpoEHBNXFfvb+AKrmYj17i2ZDh+SDm3WFEY6m8f6MUf1vqq3CmSw991cHeaPPwHFTs3iiuPlhgXW8CkQRqNbID74grJODEVT/J0qTBu9dms/62UQkLZvrX49hlWxWjKsdC42z1nEql/QQhwDxLHTsAsLujO/qsCUKA6YUwJCIh6jiUXTsbNXs+tilbl0qfpQr0T9hDaK2vxJwrwjo3XR904qvPHNqjVm8vVISnQiaGy5fv1AH2bmwa1TK8fLFl1wR7Cq1HK8mMLXvL6ob5cmnsgYxqGTqb1AVFeghCAN/SSl4aPVCec+5BgCAECC8n6QAcisTqGsLLSf6dbZGSc8ZtFrVaDpFIuPEHAWi1Spw/VouxuSBG54J0WhpVTJLK/TeY5dBqS2NC2widbm+jdsZs7MbrmC2I0bkAGgwqDIy66YGbXF3DzSEn/vM3TqOrWYu3rs7QjjiKxOoa7ox50GvJl5Dn+j1PMI5RWwgnunZXdn6rbKbfboa97g87wXbfU8DqwoI3hgVPNG8OADLKWL2delja9Nv6uxTl/o52ou+W+zNhg7+n0mIz/VanU+H9uw54AnE64jsYTtAbBpdvGeQaWdLPY7faZmnRcNaAZbOjdDoVfvCXZ/HJPQdGZgPoatbg0gkTupq1qJBJWEtYPHWy4bHuZ2TWj0/uOTA8G4CF8XuPey+7xU7ZC8WyE32pu0ULG0sxfEvL1p91Me0cmfXDqJXD5oqAEApw8Vgdrg8+Wv+3o79tRzspW5eqr8WM4DcbuL8/4QiVzLz0uP2WmituPFyAKxBndewUMzZL5XkUYqM2UusRG95gHOpKKcZtwR27161c96mTZs753BtN4pN7jqwSMUw7fC/n3I36bTn0p51k0beMcz119AEB9f4WvFGo1YqNL7DP2Ur/KHtnXDDIflqSi06nwt1hJ976cCovLe25U2Z4Q3FUSES4N+7Bd752Al4v+6ldKaHTqfa8nYfN1Zh35huvDXolHk56oVPLsLpGZg3cerMSDye8MFRKMTwTYL3uyGwAfn80z8N+2Kxm/T2dWoa7Yx589mTDtnjld3qyLbbfboZS6A/bzXbf04gthH/+w3jeHHC2uxY3BhcBAE11lajXyHfkWe70O9oNI2G7+y7fb8uDnbynUuq3Op0Kfn8UQ1M+nLIYMLsYztswmPRK6NUVJfuOd7P/nTqsx4f99rwN16nDes426JQSvHKxBQQjqsTrjUCnlGSlV1K14XRKyZbvJ6+0hTOMD/vtrNH3W7qXEuq7uWxHTbGd6ktbedaFKKaduX2BWv+/dLEFd0c9aG/I1Dt+nP62He0EMra1y7eMlWQqL2rIHYjhxGE9q3OqVqtgtZ3Z2rHTbIetoFNK8OK5Zti8UTyc8G66v+zWXPg4Y22jNhKEAA8nfajXs0dymvRKDE37cLRNV1J2K9d8Ho8lWcchZYfv9ZxbqN/uR9tuM4hEBE5ZDPj1J/n1Pr90qQXB4PKBFnEo1D8K9duyd8ZtBq4Ux9hKCvFECjVVMnznayf4PPVNwCXGoJRJ6JocbCd71mk/2huqsmTbmXCpEp21GPDxPUfe71VIRKipkvHhsTyc2L3RvL4DPArzp0Kuj/JiDTw8BxqSTONklxFvvp/vuD/fUwt5hRinuox73MrSILc+2WbEFdjWayq9crs2PZupSfQ491JqlHph9L141lx9wReM41v/rhuG6tJJOz9ryaioctW1q1JIWFVyW+ur9qUdbNaV7tjc6bFGkml0t2gRiSVZ33mlQgK1qqIkFb3Z0uV/cWWKdRym1kg8/0QTTh7Wl8R75WHH7c8v8ZVYXYObpT4gT3GUpDNufHx8DsCZ7b7u2HyINeXE5o7gB988daC9uVulyajCd1/vzVM5+3TEhWA4gePtOtaTvYzKlxtPdLM787gWFbNeiW+/0oOr9xfgCcZpNSMqopGHhwvv0gqi8VX2fwvG8ewpMw43VqPLzAuB8PAcdBzrEQhGrZy2FxKra0iRaaRIEsYS2rjvNWwbru1kq9fdSh24nb6X3YLN8QQAw3PBktno7uazpvoC2x7A7omiViMvqfdt1ivxzS904g/9dtZoqEg8ibNHahGJJeFdt4UVFSK0m6r2oLW7Q6mOTeZYY/av7RQh6G5W4zc359DXaaCzjKj9TzSexDe/0FnSh8hUjTgAnHOyOxDDt75kKal3y5MNSaYxu5gJoFHJxWiqrcScM4xIbBWzi2H+3W2RknTG7RTneowYt4XyUk46zGreEbdJ2EKyX326jTEQjbhydwHaahmGpnys16AU0jZ72tXdqEaVXAzrbBAPJr18RCNPQazzQdwedsPujsBkUOKVpw7hnavTWWPepFfC0qxBxz42ZHl4eIqDIAQQiYTobtXm2QsOdxR/9rnDe93EkmS7DfHHTbMkyfSmo++Z3y1Xcp2QTBGA28MuhJeTJRNVBOzOsybJdME9QCm+7wadEmctGXX33ANrs16F2hoFxueDEAAwaOQHJqKolN4VNdZyhTa6W7UQEIJtcxw26JQ43V2L//6OFUBGxdI67QcA/PtXekraEZc7j5/rMcLuieQ9l1IdhzzZ1OkVOGUxYsEbwYJnGd2tWtTrVFg4wOm7j8uBccaNzPqzZMCZKSelGNpbyhQTkk2lIAyMe9BgVBVU1NlKWkqDTokGnRLPnzHzkzcPJ7lS8NS4f/FiK976aBIA1qXh9bwjjoeHBwAw54rgyl173rxxtrsWUgmBNuPBLuC8G4zM+otO/Sq04eUqpbGf7b5cJyRbqZCP7zlKJmV1I7bDoWHzRMtyD2BpVOPbr/TgzogbNlcEjUYVznQbYWnM2M/djeqSixR7HMrtXqixZtIr88aYVCzEmc7tcZAShAAnWrX496/0YGDMg9nFME51GXCyywBLY+lmc7DtF6lxd/XBIv25/T4n7xdIMo2elhr80+9Gc/q6F1//fGdZjd1S4sA44z7hqBUlEQnLwhgpJYqtwUI52WzeKAZG3KzGMCVxf9PqwpgthMPmzZ1+8wOfh4sHs4Es44gisbqGRV8UhxvVUMrEuHi8Ht0lbMzw8PDsLtcGnazzRiKZwnMnm/amUQcIuzeKDwbYbbYP7jrwbJ8JDTplUZFz+6kO3GagnJAAuEuFbGMa3U6wHQIUQKY//fFu+e4BuhvV6G5UQyQiMOcK48aQC//64dRjPZNSY7ve9V7wRLcR792YY+1fn4483hhjey5f/0wHRCKiLDK6uNZSiUiI559owvBs4MDMyfuFkbkA6zsdmQvgTKd+j1pV3hwIZxxBCGCd8bP+26QjVHYnMXvJlmqwsBRetbRo8OmICz/93Sh01Zm6B3Z3BPPO0ioyzFOeDEz68KnVBV+IXQre4Y7iixdaoKuSlnR4Pw8Pz+4yaQ9i0s6+xnlDK2g0qHh7oQi2alfZPFH89Lej3P/uiuAnvxnFK0+1ZUU9F4qcK9VaUzvNy5dbEQgnMDLLrlrPZbOVAttVFH+j/jS1sFSyzyCXmcVwSYtybJVSFxvZiEaDCh4OW3NkNoDfy8WwNGk2fS/l+lyo8eQKxjnX0knHEv7LN07iTxiK2jylj0hEwOZiz2CzuSJl4yQuNQ6EM44k0zDplawdqF6v5CeCTbDVGixMY3jeHcHf/Iwha+3KlrUuhxNbntJl3LGEB5NeTNqD6G7VsqZINxpVONGm3YPW8fDwlDIPJjzQqWWs88bhRr6mzUY8boTLrWEX3IEY59ytU8tgnfbjzog77982sh0OyrtjbuJVcjE6mzQFS4WUIptRwd3oOoX6Uyk/g1y265mUGuV+XySZRmejmnWPqVPL8O61Wbx7bXbTTrRyey7Mub+7JZNtUq9XsI67BgO/9y5HUikSJoOS9Z2aDEreEbdFiL1uwG4gkQhRKc/IgDORijN/l0iEHN/kYeOsxcj6LDfK96dOS25aMwuMVCyEUSunpbpXkin6utSJLQ/PZnD4oph0hOBwRxGJraJep2Ltqye7+NoUPDw82RCEAOPzIag47IWz3fy8UQjKCfSH2zbMu8L4w20bfvjzu7B5okV9n4q8T6yuoUIiYn0HFRIREqtrsLkiUFdK867B2w6ZTTyQUQJOrpIQi4Rbstn2CrYMDMpenFlcKvr9FtOfymVME4QAvqWVvHsAyrvPb9e73mu49kWKChE9T90azj9A4IIgBJheCNN7JCal+L5z5/674144/XFUKaSsz0Upl5TcPfBsTEWFCE3GStZ32mSsREXFgYjx2nYOxFNLJtcQiSdZJaEj8SSSyXz5dx5uzHol3ni9F7esxdVgyT4pV4MgCJw/Wod4IpWlarXgiUJdKYXLHyur00qe0uD+tB93xz1w+2P0yc07V6fx4sVWLHqjcHiiMBmUOGMx8jXieHh4WGmtr8KcawmXe00Ix5JweKLQVcugq5ahiU9RLcjjRnIwI+9vWZ0431OL1Fo68w7WbbZbVieATHQzW3TcQbcdCEIAgYDIUgIWCICTXQaspki4AzEcblTjTFfp1mhi9oNclUq9Wo45V2RL/Yl5HZNeCZNBBXMZlKmgbOhcFViqn5dzn9+ud73XULUpPx1xY2Q2AJ1ahua6Ksw7lyBZV+bejLrqnCsCg0aOpHst752X4vvOnfuD4QSajJXwL8VZ995Ip0vuHng2Jplcg80TxgsXWh7tq/RK1OmUsHnCvD9lixwIZ5wrGEdzbSV++eEUgGxJ6Jcvt5VNvYhSIDcM+X/9ogVGtazg59mUdE5bDLg75sl8Zl116PPnmvC7G3ObPrHl3x/P/Rk/fn11Bu5ADInVNRi1Cjri8q2PJqGSi3GoQY2+TgPviOPh4WFlcDaA967PQCETIxhOAAAMGjnaTNXwh+L8OlOArdSTpb7H/DtT/fTqg0VcOm4CAFin/bQdIRULcbRdl+eMK+Vor92AKgPCpgTc12mAWilBS50K/aNepNNpAKVbJJ/qB32dBlqISSoWIplaw+CUF//pK8eLavvZ7kf96cbgIqRiIQwaOSokQoSXkyVvP+ba0ExlZ+p+yr3Ps71rIHOvg1NevPFaX8F9RqlAleP5vVwMT3AF712boe/FHYjBoIljvku/YZ3iQu98YNRdcu+bbe5PrK5BKCQgERO4vR4RyNx7v/Fa7663k2d76GrU4p9+NwqJmEBTbSWGpn24O+bB1z/fuddNK1sOhDNuZD4AmzuCL11sgSsQw5wzjN7DetTplAhGVkp6IS4l2BxrH/Q7CtZByD0tkYqFUFdKkVwlaWcJkJm4fcE4njnZgJOH86XA2QymclZf4tk+huaCsLsiMGrlqKtRQCgkcHvEhdNdRqSRhsOdiYg7dkiHY82avW4uDw9PiWJ3R2Fp1iKZItFkrIRQSOCW1Qm7O4LPnm7Y6+aVNJutJ8u1flMRJnfGPBiZDYBMkzhlMWJ2cSkrsmLKHsJ3X+/FzSIj9ClK3fmyFZjPssGgxMXj9bj+cBHxRArAIyVgqZjAm3+cBABMOUIlXQzerFfiu6/34o8DDqyukTjXU4eVZAqhSALdLVpML4aLardZp8TLl1sx54rA4Y6itkaBOp0C3mAcEnHpR+cwbWjKfg6GE0itkXj+iSZWe7ncaDKq8H98vRfv9z9SvGVGyf34HSs6m9RlY+N3N2vw3mJGXTU32u/9/owadKH7YKaZB8OJzPhdXYNAAHz39d6SEx3jmvtvWZ149dl2mPQqTC8swelfxoVUndenAAAgAElEQVSjdTjfU1sW75EnH5JMY2TejxcutCCwtAKBANBVy6GpqsDIvJ9XU90i+94ZZ/NGYXNFQJKAf2kF5FoaXU0arKbW8N61GbzxOrt3fj8abI/LZlNQmKcluQsSCeDi8Xp8OGCnn7PdE8X3//xk1nPnMti3ojLEv9P9x9B8ECIhAYFQAP/SCgxaOYRCAc5YjLj+cBGt9VXo69TjkKkaHaaqvW4uDw9PieLwLcMdWM76m5AAzvXUYt4ZQZOxEqkUya8jOTCfBzOqjYItcmej9bvJqEKvpRbB4DJ+8D8GcO3BIu2IoCLkmmor8ZWn2tCgK04ldb8e3nFlH3z+XBM8gTid2uYJxbHoz+7fpVwMHsioVNrdUZztrsW9cQ9OdRmhq65AIJxANLYKnVpWVKR7u6ka712fhVpVAacvigcTXgCFo3NKYZxTNnSu/dzdqoW6soJVibIU2l0suSVslDIJ3f6z3bUYnPLSUco2dyRrjijl+2Sqqz5xpBb9I9nRfgOjbs69CkEIUKWswPF2HRZ9y1kpqg5PlFXNuxSeBdvcLxYSOFRfBbNeief6MhHOe91OnscjU4NfCkIASCUC6NUKeILLIARApUIKiUTIp6pugX3vjJtaCMGoVcDuiWDSHkG9XoFKhQQQpPHlpw/l1YvYrwbb47KVFBTmaQkVXs0Vag8AXc2aPEccm8H+3dd7N+UY5N/p/mRgwocHU1443FHU65W4cKwOM4tL6B9x47NnGzPpKFo5jrVpYarh3zcPDw83o7YgAGB1jYQvlInAkogJGLVyEAIBZpxh3LLy6wgF17r6xmu9uDVcOFqNbf1eXSMx4Viir2lp0eDUYT3aTJWYcmSK8Lv8MfrzzGi7Yhxxmz28Kxe4bCGbK4IJW5C2sWq1CtoJxaRQCvFeQ5JpdLeo4QnG8YXzzUitkVjwLsO1Xhd2YMyDSpl4w3do1ivxn75ynO6XT54wcUZRlpK9SNnQJr2S1X4+0/koKq6U2l0MXE5kyvGq18jQblZn1cm7PeLKmiNK+T6NWgXc/hjIdJp1fF4fdOKrzxzK+rvNE8XVQSem7CHo1DI0GFS4ZXVCLCRwtrsWSpm4qGCFvWCjub8U5xeezZNKkairkQMCAg5vFMMzDpgMStTrK1GpEPNqqltkXzvjCEIAISHEr69OZC1i98RefOXZdhw2VwMARCICqRRZtMFWqobLTlIoBcVSIPXvrMWIm0NOrCRTrAsSU0H10glT1r9zGZnW2WDRjsH9bIQfZO5P+/GT94azx/WYB1+62IITHXo4vcsw6ZXo7dDzjjgeHp6CEIQAyVUSt4fzN7wvXGhGT1sNfvgzfh2h2GhdpSJXgPxNGNfB3tnuWvzqylTWNT/st+Pbr/Tgyt2No+0K8bjCEqVKoUNSbzAOhUyMlWQKKrkYrfWVeDDhzUp9A3an+H8xNjNXfzl3pA7Xh5xw+5dZx6dJpywuXZXRL7naUor24hPdRrx3Y65g/y3Fdm8E15hMJFO4dLwOv2PcM/WuX7zYmjdH7PV9svVbkkzjWJsW4WgCDvcjJWlmmvGEI1Rwr5IbsJBIpvDcyUd7pFJ858WMMZ7yhiAEIAgC//Tb0ay+enfUg68/38m/+y2yr51xADBpD7FO+JP2EBqNKvzkd2Nw+ZdhadFiJbG64YJXKqcQe0FuGDJBCHC+pxbx5Br++qf9rM8kc1rShx+/Y2W9pjcYxxcvtMDSpEZXsxZeb4S+9th8KGvxon73waQXhxvVRdWm2a9G+EHGag/h7riH9b06PFEQAgG8S3G8/FQbDtfzqak8PDyFIQgBHJ4ox5yyjLW1fOPyIK8jG62rhWwltoM9qVjIeWA3PBPYUm04iq0KS5QDhQ5JdWoZrNN+SMRCvPFaH3zhlSyF1QqJCPfGPTtaDL4Ym5kZDWSsUaCtvhLtpmr6c0a1DPHEGpZX2PvHzOISiL7sg1yA2wFYSERkeC6Q9297Pc6ZKY+5UP233OzcQmMyFE1CLhOz3s+iN5r3+b26T5sniglHCFMLYbh8y2hrqMbFnloAmflxdD6I/5+9d49u6zoTe384eBEkQBIk8SAJgk8RokhRlkRZliXLlu28x0kmdiZO2qRNe9uZuWnXvbPStdr0rtv2zu1qbtdt/2jn9nbmzprMJNNMJpk87Dhx4sQPWQ/Ltl4WSUkExYcIgsSDBEASIEC87x8gIIA8oEhJJEHy/P6xRRwc7HP2t/f+9re/R7NZh0FfzrRvkeMHzAVhxi31lQX3K9aHWYeFmbmlXIiqIMi4PCSuA5dCn+ePsZ08v0qsRhBkDI75RGVvcMyXGwMSG2NXG+OyCrYYTm+I33zgQC4XqNapMyeGdRWc7G3gqt1LtVaVMwDZHQHcgUjJnUJsNSvdkJ88uPokW+ydmPUaulr0ODzBVfc80FrDpx5fnRg7lUpzsteM3TG3qpx7W0MVJ7pNnL3mLJgQVp6W72YlfK9yZcTHUjRecNqYj9MbYl9TNb0dtZIhTkJCYl2kUmlcK/JpZZmeDRGLJwvWoOy6MTThR6HYt6dCM+63rq5HV1p5sKevVDMTKG5w+PJz4rnh1ruG97St7/BuJ1IsT1+ZSkE0nqSruYZYPMl/+3H/Kq+bb7zUu2n6a1HPna8dxbrclxOe4CpvoBvDMxzvNvHsUQtWgxaFQmBhMVpUPqZnF3H5w9TWZp5jcibE4Lif68OztDdWrjIA5nsyTc6EsE8GiMbTeANhJlxB0XG+nfpiKpWmq1mPw71afzbVlPPGZQe3JwKi3y1VPXctI/JhkSrJWZzeEPpKdUG4Omz9czq8Id6+5lzlqXnxxjTHu02c+yiTesfjC2OqKeeLZzr46dnRgmsHR30cbK3JyWaxPpwJRNBXqulq0XPXHeR8v4s7zkz6pZO9DQVyCpl3kY322k7WY4gvRdmUWBtBkBXff3lCuflVYmPsamPchGeB5npdgREo62nV2lCJXJBxsd+VmyCdMyFO9dZzxGbA6QnlFmW5AO9+NFWypxBbSb4b8g/eurPud1JMYXzigPiprMMb4ifvjK5SHk/11udOxe+Xm2aj1d0kSptrIz4mXPM43EEsJq2ocddi1BKLJ3msXTqdkZCQWB+pVJomo050w2sxaNGoFdye8BNcjBXkOW00ann1vXEWw3GeOLA3POXvt65eHJi+r15gNWr5xku9nLs+hTcQoaGuAkEuE53TxXLDrdfjKntNu6WK0481cKH/3sZ1o6GupUpWF7rQ72J4OddU1pikVsp5ssfEe4PiXjc3x/zrKoDwIBTLCzgw5ufNK04mPUEsRh3Hu02MOOfxzS/lqkYmUmneG3Bzo1yJ1x+mWqsGEJWPJqOOd69P0bPPyOBEgHevT+Wq7oYiCf7j96/xr/7+EdLA8OQco1ML+BeW+OTxZvpHZ9GoFbxz1blK18wf59utLxbTnxVygZ+eHaOnvVZ07trudq9FcSOygKm2XHR+sZi0XL3tXfX3rX7Oy0OeVZ6a2b1lLJ5Co1ZwrMvIUjyFe3YRhydIX5epwHCWPyfevuvDUK0R7UODXsOwI8CB1ppCw7V7tZwCNJt1/PvvXqW1Qbdt0Vv3C6Hd61FmO5mlpURu/7Uycq3JpGVpKbHdTdyR7GpjnHMmjIzMJCkTZHz8cSuxeII7k/Ok01CtUxNPpnIC1dlULZqT4ksf24f9biZkcqVyUaonT5tF/rNuxOtsvYmdsxRz2VYp5AUK/f3yE6y3uptEadN/14/bF2LUOU+FRklnk57r9hki0XsTv1opx2LUYjFqS670u4SEROkiCDJ05cpVa7xGraDBoGV8eh6NSsHB9jqM1RoGx2ZJpdJYDFrKVHJm/BG+88vb/OPf6doTc0/RdbXHxF/+ckj0Oyv1gptjPgZGfegr1VwfnqGvy7Tq/T9IJdZi16iVcl5+vpP3BlwbDnUtdaxGLV95fh/uQISLAy5ujvv52DErJ7pNNJt0fGedffKoEPOeVCvlnD7cyC8ujOf1S0bHfu5YE7F4kngizfkbU0x7Fzn1WAPDk3OZEEBLFY93m3B4FpALQm7zp1bKkcng1t0A7/VPiXr/vfBUGzcn5nD7Frl8y8OxLiPGmnJePT9GQ10FqZR4gv38fMZZGdxqXT/7e/n68+0JP4ZqTYH3XplKsa6xU0qs3BN0NFYRSyT5/m+GOdFTL/o8DXVarlJojNvK58zky5IxOx8lnV42HqrlPNvXRCgcY2xqgRTwlU/Y+Js37Dn9NCuLTx6s58KNe4az7Pg7e9VZtA9t1mpOHmrgvYG1w1iz4yGdTmPQa3jjA8e2RW+tFTYN7Pkos52MRqPkYFstCkFGKgVqlZxoLIkgQFdLDRqNkkgkvt3N3HHsWmOcIMgYGPPx4S0Pv/t0O15/OBeK2ruvjplAhF9dmuALz3QwPj3PXDBKInlvUc63+Non5pArBD59soWZQIT3Bu6dbpTyydOjZOVJxpM95nV5neUrL+tN7rlWGMzI1Pyq7691r40aASVKjyt3Zrk+PMOUN0SjsYJGg46/e/sOX3q+k+HJAE5PCItJS6dVT4txfcmcJSQkJPIJhKIc7zEjA4LhOCqFgMWk45cXxzliM1Ktg9vjfvw1Gn7vuU7sE37eH3TTZNLR1lDJ7FyE31x28rE+y66fg4quqwbtuvWCoYnCCqmXBl2c6KknkUzh8Yc50JqpprqeSqwrPe+KXeObX+Lfff3YrtXZzHoNL55u44vPtBd4E251hED+bwqCjBM99SSTKRYWY6L9MheM4vGHqdap+cIzHchk8Hdv3SGeTHGip55gOMb41AKdTXomvSEOdRpoNulw+xe52O/i8S4TFz6aXmXIMNWUk0ynqFAqqKsu44VTrbx6boxoPIkgyDjYUcfAyKzoM8wFo3zhTAfBxRjnB1yY9BouDXjotFZtuiePmOdQi1lHi1nHn/x0gMHRwpxNlwZdfPx4M6TTDE3sHD03f0/wd2dHePPKJHBvLliKJZiZi2A16Uin4ZVzowW516xmHc8f3fz5NpvXcGxqnhMHzSjkMlyzER7vNmFr1nNjeAaPP+ONqZQL/M0bdo7YjAUea1mZK1MrWFo20tmsGa/Um2M+Jr2h3DiJJVKolQLdbbXcnvAzNDHHrEjeQLVSjkIQOHPEQjyZIp5Icvm2l5O99ejKlQTD8S2P3lpr/zY2PQ8gRZntYNLpNHOLS5hrK5j0BrkzGaTRWEFDrY65xSXS6d25tm42u9oY5/SEeKLHzM+XF1+4d0JxvNvEEZuRu9PzDDsCtNRX4vGHc4pDfqJNvU5N/8gsV297ON5tyrkFl/rJ06Oi2En0N17qLep1dr8EzvfjUeZ4kSr87Fx+dekuv7gwjscfJhpPLo/fGV54qo3hyQDBxRh9XUY6LFVUqBV7witFQkLi0ZJKpWmpr0SjkuP2hXF6Q9RUlpFMpTi638jlW/c85ptMOr73emElsSu3PXz2qTZcvkX+4/ev8S//3pFdv7Eotq6Kec3pypU8/VhD7t9iBqJUKs3F/mk+82QLf/i5bmprtbmCTlnWkwcW1vba3wtkk7xn+2U7IgSyv9nXZeLKbQ/6SjUqhXzVdZniHUniiSRXh7wMOwIc2W8kGk9ysreBK7c99HWZCkNJ3Znccv/gM10MjvmordbkjGqCIOPJg/Wk0mmcnhBT3kWU9TqUy3m04slMLq0TPfWcu+6k01qYzzi7B0iT5uKN6VzY78/eHeOIzbjpHkfF9O0zR5uQC2mqtOpVxoxUKk06leZLZ9p3rJ47OHZvbGbnArVSzsH2Wj52zMJ/+O5VEolU7u+mmnI+1mfZdJ0v2x/xZIoXn+ngpyvS53x4MyOfDk8wt7/s6zIVeKxluTu9wMePNfHGBw5MNeUc2lfHiGuB+toKJpfzmydSKWbnIjTX6xh2BLg04EYpFzKhyJ57Be6ePFiPQa9hamaRW3f9WM06Gg0V/M6pFi7f9NLVUoNSIefO5NyWykQqlaanTU80nigovAfw2L7i+QD3WpTZTkWlEtCoVPzgN3Ygk+/12tAM14Zm+PLHbahUAktL29zIHciuNcYlEinaLVUki7igLy4lUMoFAsEox7vNDDvmaDRWcNhm5LXz4sa76dlFFpcSlKkUPNFtpq2xatcr3FD8lPnWuF/0dBwezA351riPty87Ni3HizTJ7yyujMzy0fAMQEFS5WxVLf/CEi31lQTDMckQJyEh8cC4AiGqKlRcHfLm8k2plHLevjJJd1ttgcd8saqfU7Mhbo75OGIz7qlT/pXrar7X3J3JOZ7oMeP2h/mzV28WHMwVMxAd228sulavtdHLP6jby7liix2EfutrR7n0gBVpHwSrUcu//tpRfnslY0QLLERXGRTyD74N+nKaTJWMu+YZn1rIjTWg6Ji7cWeWJ7rNtDToCEXixBJJ0XQz2aIQyDK/eeW2h6VYgmA4vio8MPv5yj3ASgPLZo3xYvr2zFyYwVEfx7vXDufeifKdb5xfmYeqtkpDU524J+5W6HzZ/njmiAVPIHzfUNHsv+eC0VXFJkw1GsrUCvq6jOjKVVzon8bpDdFk1PLSsx28dn58VWhr1vkjX05P9NQjyOD1i3dF96p9B0z89OwISrnAi2c6tlQmHN4QkVgKlUJeoLcr5QI9rXoWFqN7dm7eLdxxBnLzYX6BxRFnALBud/N2JA9sjLPZbIeA7wJNwM+AP7Lb7cHlz67Z7fYjj6aJD84TPWa+/2u76GczgQh11RraGio5t+ze7vGHicdTRY13aqU8973ZuQhuf5iP91l29QSy1kn00ESAl5/tWHU6/sO8CqtZovEkF/pdfOX5faL32ms5XiTW5urILH/x6s2iSZWd3ozXazyRpNlcIxniJCQkHphAKM53f3l71Xxz+nAj9rwqd2tV/XR6Qpw61IjHt4g3EN7Tp/xZrznHTIhvf6/4wdzKDfaTPZkcZ8Xe21obvfyDur2aK7aYV9WLZ9q52O+mp03PP/1sN2a9Zkva02zSMblceS8aT64yKIgZvZ7oqScSSxBLJHOVJIuNOdfsItVaJYH5KKlUiooyZUG6mSxZHV5XriKWTGKqKc/d85rdy+nDjQQWlggEo6TTxXPI5RtYNsOTZy19O/suLvS7ePn5TnzzS7sq9cqJbjORaILFpXsb/KoKVc6jdjsiXLL9oVbKaanX8fYVp+h12b7JGt5mAhFs1upcVVXIzD/N9VW8em5M1NMza/BdGdqaNfRlQ3cBZDJIFHE0CUcTTHmDPHWokXevO/H6CyvPbiYr55/smH75+U46LVU0GYofwuz2uXk3odOoRIvenDlq2eaW7VwexjPu/wX+COgH/k/gHZvN9ozdbg8BD1zb1mazCcv3PgREgf/JbrePPMi90imor6sQrcCUje2PJe5NaKYaDanlpJwrJ7nsZGvUa1DIBTz+MM8c2d2GOFh/vpGVuWDEGJ6cwx2IiCqCezXHi8Rqro366B/xFZyOQqFiYjFqUSkzVbd6WzenGpyEhMTuRxBkXLfP5hJg5887gYUlLKZ7FdlXevfkY64rxzcXIRCMcsRW3LtrL3GpSBXPrFdR/gb7rjvIe4NuvvPLIfY3V/PsMSsGrSr3vftt9PKNEXs1V2wxPcruyBQwmHAv8OZl55YlS1/p8TQ+Pc/xbhOxeCZUVGyND0VitFuquD3uo9GqZXDUV3TMGfUaqnUafrJ8AGyuLce5HO63kplAhDSgEGRAGlNNOU0mHUuxBPaJAA11FTzebeZiXoL9ld/vtFZz/qPNq7C6lr5t0GsYHPWRSqV5b8DFv/v6sdx3dgtZj0ZBkNFk0jG/GONPXx2kq1mf8/DcyufN9kc6nWJ0agGDXlN0Pzk46sv926jXYDFp6WmvzXlaazUqxpdzpq309MyuO8nlgoL5n+Ub+i72T/PZU22UqeW8P+gWbbM3EKGuSkOFRoZaKeeOc3We7c1irX2c9UgjsHfn5t3EQjgmqi8thGPb3bQdy8MY48rtdvs7y///P9tstv8E/Nxms33iIdv0eaDMbrefsNlsTwD/GfjcRm9SWani0hsuGgwVoi7dFWUKmsw6fvCbYdE8cfmViiBTUntgZJYmsw65IHBjZHbPWPI3cpJxP2Xi4oCLF0+3Ffz9fnlgJPYO10d9BIJLROPJVd4PqVSamUAEU005tmY9GrWCw221291kCQmJHc7o1DwnextW6QBT3hBn+ixcXfbgWendk0WtlFOmlHPXFWR/i54e6YBgXfndsvrVXXfwvqkt1rPRy2ev5Ypdj1eV2xfe8mTpKz2eItEEXa01DE3MFV3j9zfrObrfhLEmY+QoNua05SomPcHc39cylhv0GjRqJTVVKsrUCiwGbc6IBxnj7s3xTJi52PebTFriy4f3m+nJU0zfLlMpcn/bjSF9+eN7ldekO7htFTdPdJsZm15gwr1Ak1EnPvfn9Y1aKaenow5IM+wIUKFRMrhcNVqlkBd4eq7ce6aA04cbeevKZK5/zXXl3B735+6tLVfi9IaKGgYtRi2CTMb49AL6SjXN9cU9jR8lG5nv99rcvNuYnlkU15dmxA9CJO7PwxjjFmw22yeBN+x2e9put/8Lm832feAnQPlD3PcU8GsAu93+vs1m63vQG41PL5BMpTneYyaRTOH0hKivq8Bi1FKlVeH2h1HKhVyCWbGQuCu3PZkTNKMWpVzOq+fGUMoFvvFS756x5G/0JONET3Fl4ua4v6DSF6xtwLMYtUx4glIY4h7gyp1ZHO4F+kd8Kwo23AtPtZi0HNpXhxwZR/bVbXeTJSQkdjgKhUBfl5HXzo/nNtqxRJLFSJyPPW5FJkvzxec6uDM5j2t2kVg8wQtPtXHXNY83EMFi0NJg0PLTsyMc6TTQbNatGWq5F8hustabu+3mXf+qa/KNRhvZ6K1kr/TDeryqsmx1svSsx5NaKedgRx0/OztKMBwHVqegaG2oJJ1Ok0yluD40wxef28ekN8iZoxYWwjGc3hD1tRXodWpcsyECwXveGGsZyyvKMhVV5XIZs4EIMtnqqo6xeAqDXiP6/UajlhvDs3ziePOmevLk69tDEwEM1WWol42V2bbsNkeA/PG9Vl7O/Plgq2TXatTyudNtvHPVmRcqmmbSkzGItTZUMeGax2rS0W6pIpWGs1edKOUCJ3vrCQRjqBSLNBgqKFPJuTrkpbW9EocnKBqqrStX8qkTLbz5oQOAuioNXa21WE1aZDIZ5z6aQpBlPAfF5NSoL0evUxOJJvAGwujKlVvyvh6kavNemZt3G48fMPHquTEg492cXVs+93TbWl+TWIOHMcb9AfD/Aa3Af1/+29fIeLJ96iHuWwnM5/07abPZFHa7PSF2sV5fjkKkQhNkvNneG8hMngIyulr0aNRy9DoVY1MLTLiDnDnaSDC8euKPJ1OYa8s5ut+I0xti3BWkqiITMhGNJxmaCHCmb/sTFRoMui37naPd9eu+9qXnOhi6G8i5aGdPPj/5RDO1tauVmGePWUUNeOk0/IfvXeWPf/8EB1p3jxfUWnL7MGyVPDxqzn44QSSawB+MAqsLNizFEujKlTzWaUCjkPPMse0few/KTu2jLJshuzv9nYghPVNpsZbcun1h4slUwWlvo1WLQiFQrlIwOuXHXFuOoboMbyCC0xOkokzFwfZyUqkUbv8iaqWc1oYq7BMBPnu6Y4ufbjXb0Ve3xn28e83JzXE/3a01HOo0iq7rzx5rwmDQ5a7PhiKujEiwOwK55+huqxHd6B1orRHVKXYT651zi73v1oYqrg55c3/b6Dt7GFn68bmxgrE1MDJLp1Vf0NfZNf7ZoxbiyRQXbrgw6DU0GLS8fXWSaCzBP/nsQRKpFBPued6+4qSlvoqx6YVVnnBZg0k6ncbpDWExadlv1bMUT1CuVhBeSmCqLWd0an51sYDqMq7c8hYkJ8/qr1duefkv33zmgd9DPvd7n/n69u27Ps5edWI16TjQWsPTRyw7RhfeiK6QHd9r5QgccgT4zVUnlwbddG/gXTzsXHjr3FjOyKtUCKTSaWKJJIOjPq4OeXNyFFlKcH14huM9Zow1ZfjnYyjkMp450oC2XI3Lt4heV0ZVhRpdubLA6JjvJTcwMktfl5FmcyUjzgBKhYJfXrzLEZsx44nUUctVu5fnH7cyH4wSjiZQKQTqDRX4F5bw+Bbp7ailrbGK8FL8kcyP63mHxfZxdfoyZkKxXSO3O1kPehR4/GHRAg4efxi1Wo3BoN7uJm4rDyIfD2yMs9vtt4GnbDbbsM1mu26329+32+1Jm81m5yFyxgELQP6TCMUMcQCBgHhyyspKFZXlKtTKzICKxBM4PEEajRUsxVIkU2l699Ux6Q7iFZn4T/TU84sL40UTyN8a9+PzhbbVsm8w6JiZWe2mXArsa6ji5+fGci7a2VPRx/cbRdts0Kr4498/wWvnx3C4gxj0GirKFIw4M3bZty9PFuSP2Ww2e7ItJrcPQynLw1r0j/mZC8f4wRv2ouNtJhDh93/3IOFIgu4W/Y58Ttj8PtoKJeFRy+5Oldu1kJ5p4/febIrJbVmZAodb3EthcNTH11/oyhgMYknmF6O4fWEMNRpU6RSpVJrrw7MEFqJ8+eM27roWmHCH9qRusKp4gGuBd646+cZLvdwc8xd41Ru0Kq7edInmgMvO+ZDxqMg+x+P7jbx1eXLVRm+lTlGsmuhmUUpzbv8dcUPShGs+50Wzlh4mxsPIkiDIuDnmL1qsIb+vZ+YizAQiODzBXM6wUCSGSi7n+GEzFwemmXAFaTLp+MTxFpbiCQZHfTQadKiVM7l7p1Jprtz28ERPPbFEEo8vjNMT4kBrDXK9wKQ3RHtjJTWVZUx6grh94dxmUqOWsxCOc7F/Omdgyeqvz/c1PZIxtdH3WVeh4qXTbQh5ESXZ7z+Mx1MpyS3cG99rhhpXlfGzs6NE40kmXAu8dXnyvqGrDzsXZmV40hvkpWf38f5Axjbd8IwAACAASURBVEMxv0pqNJ7E7QujUmTyGeu1Kuqqypmdi2YKmMhkyGWZnJgnDzawEI5y+rCFgZHZ3D3ExsiV295c5NbxbhOLSwkEQUZrfRUCkEymSKZTzM5FMNaUo5QLJJNppmYWcfnCWM06nj3c+NByu953aNCq+NZXj3Kh38Xw5Fxu/vnBb4b58Vsjub562Dl6O/dnu1G32wiVlSo0akXRAg7RaJSFhb2bO24t+VhLbh/GMy7LPwL+0maz/Rw4AkSAh/FVvAi8APxoOWfcwIPcZGkpSWgpzmdOtvLa+THRMuVvfujg2b4m0st/z7KWm3Q2gfxuzNnwqBAEGVajlm++fHhDSToPtNby568Mkkil0GpUhCIxFHKBnvZaZIJMyi+wC7k8PMudyQBzweia463dUkU6laavUwpNlZCQeHTEYkk6m6sLEslnicaTXBuaobaqjLevrFY+P3OyJfe923f9qJQCTz1WvyfXKbGcbpFogptjfr50pn3V+l0sB1x2zgcKwvHuly5DEGRMeO6fe263Iggybt+dyxVLyDckWc06DrbXUlul2dJk6alUmp42PW5/ZM2+jsaTWIyZvMzm2nL2N9dwaSDjFX+yt4HXL95dYaSQc7zHzOnDjTjc83zxuQ7GphdwLocOlqkUnL8xRSqV5uh+I4OjPurrKghHEyjkAuFoMnfYnh+W/oknmlHIhVybsgYXtVJOfV3FlrwzMVaOna02OG8F+eNbJshEQzDVebnZoDB0dbNIpdJ0tVTTUl+J0xPE4w8XNRZ2WKrRVSipLFfxl6/dWrVeHD9g5t3rTk4/1sC56046rfrcZ2vtOQESyTT1teU0m3W8dl6kIqsnyMDILMd7zFhMWq7e9tJk1NJi3tqUCVajFrVKyHkO5oqzpDJ9JQjwnV/ezqWi2Utz9G4huFzAIZ9oPEkwEt+mFu18HtoYZ7fbL9hstv8K/N9kvNpesNvtjoe45c+Aj9lstvfIeNh9/UFukkqlefyAiXMrXGYhIzRp0nS31nLdPsPRLmPBpLGWm3Q2gfxuy9nwKBBTEMSU8LVob6wkFEnw/nJ4IuSVvO8ySpP1LqJ/zMdcaAmVUi7qnQr3xtvB9jq6m6Wk6BISEo+WVCrNqd4GvvPaLdHP3b4wNZVlonqE23/vBN01u0gskeTDmx46Gqr21Fq10Zxu9ys28Nmn2ug7YCrwhs8e8q3MGZWvd1iMWvq6TAWhrltdsGC7yM/ZlG9IAuhqruHLz3Vsi5H45MEG/vSVQdHPsoUlAgtRWsyVxONJTDXl+JcP59YyUoQjcT5Yrijp8IQ41JEJgcvX5fOT62fH52IkTm9HnWhYejKV5tyNafq6TERjCbzL3oWGag0e/+KWHwiL6dTArjU454/vJ7qMOcP7/mY9IOM3H06s+s5W5D880FrLj98eAcTzEgqCjFO99UTjCUbsczQaK0Tnoazx+UJ/JpTaXFueK+6w1p5TX6nG6Q0xE4jQYMwYhYuNi0Qiha25muv2GSZEDIabjSDIGBwLFMw/AGVqBVU6Ne9cz3jCrkxFsxfm6N3CZJGK1ZPbIG+7hYc2xtlstrNAEugBWoAf2Gy21+x2+zcf5H52uz1FJh/dQ5FKpYnHE3jnxCc4pydELJFRWJwzIU711pNOw4Q7SENdBUqlIHryYTXr+FifRSoosIJVISoPqCA82WPmF+/dFV1kpMl69zDlCxFLprl4w4VSIRStDNVk1nHUZuCxtpptaKWEhMReoLwsTVtjpegcZK4r586kuOHI6QnlqlRmk+TvxbVqo8m717r+QGsNn3q8KRfusZYXkJjesTL8Eba+YMF2ka3ECeSMXJm/m7bt2c16DR1N1aJjq76uAhlw+jEdP3t3lCM2I/0j9wpNrGWk8M5FeOZoI7fHA7Q0VNJsrqJKV4bTE8pVmyzLK3yQHZ/6SjWTnlDRsPTThxv57YcO1Eo5Tz3WwAc33aiVcgzVZVtuiFsp2+8NuHj8gHnX68epVHqV4f2H74yIvv+tiFK6OeYr8IjL5iXMGnIf7zblCgCBeBg2FFY1vtg/zZO99fyTz3VzeyJAMBwvWgU4m1PTYtRy3T6z5rhwejPyf+pQA5FoYsvH/cq5PZsLL02a9wcyuSCbTDouDbpQyoXcO9orc/RuwFxbgcMtMp/Xbp/38E5HeAT3+Indbn/ObrfftdvtZ8mEqpY9gvs+FKlUmtn5KG2NVaKfG/SanKKSSqU599E0MkFGuUbO9eEZKsqUuVCJLGqlnOePSoY4MYqFnFwe8iII908hmL1GqZDj8YsvMtnJWmJn4/CGWIwkGViumlqtU+dOGvNRK+U8ts/AY207I+mrhITEzsRYqaO7rVZ0DipTyqnWiSckNi7rEdlqjdk1cC+uVSe6zaLvr1gUQbHrnzhw7/qsQeKNDxxMuBd44wMH3/7rqziWT+bXE+oKW7NhLwWsRi3feKmXvi4TFWVKnn/cyj//vUPbbqQ5fahetK8rK1TcHPcxOjVPKpVmKZbA488YtgECC9Hc/6/EYtASjaZ4osdMk1HLNbsXbZmSJw9mCh8Mjvq42D9NKpUu8JALLESxmHRFPYsCC0s5r6dhxxx6XRkWk47D+wyb8GaKs1K21Uo5LfWVRQ8GduOck2+c2ej88ijbMDQxV+ARl0qludg/zeCoD6VCwOMLr2seMteV5/adaqWcnrZaProzi8e3yLEuo/j6o8r4zGg1KgLBKI3GijXHhUGvweMPMxdcolqr2haZyO+rrNH7vX4XDk+Qq0Nertz2cKKnXkr9tEOxmrSistpkkmwjD8qjCFP9kxX/DgHfeNj7PiyCIGNsaoFyjXiZ87IVuQcA7roWqKpQEY0n8c1HON5tIpFK4/SEaGmo5NnDjduu1JQiYiEn2dOQmfkl/u13LhfNa5F/6r2vqYpEMo2pRtxLSpqsdwd251wuV0RWwblmL0w8bdRr6Dtg5pMnWvZ0slQJCYmtYczl5+svdNN/ZwanN0R9XQUKuZALKRLTIywmHWnAUK2hPy8Z915cq+6X0+1Brj/f7yrqBdRi1q0Z6pr1QNmKDXup4PCG+O8/HeCIzUi1Ts3AyCxu32Imd9s2pnmwGrR8+eOdDE3MMT1zz2vtrSuTGPWaXH/NBCKrwgBXhgRCZux1NFUxPDHH1MwisXiCQDCKUiHwyrtjfPy4lRHnHGNTC6s85KLxJB2WKs5edYq21ZsnOxaTloPtdTTUaLb0ED5fp86vsjkXjNJo1O56/biYN+xG5pdHRb6n10qPOItJi9Wk471+l+h3V85DTUYdbl+YZpOOzuZqfvDbYYKLMT79ZAvG6jK+8gkbw5NzTLqDWExaWparqfZ1mbjjDGCuqcC4bIQrNi6ye1uPP0JttbjBbrPJ9tXlIS+z80trGiql1E87j8VIPFdQJFsoqKJMwaKUM+6BeRQFHEoW1+wizpkQLz27jylvkElvCItBi7muglfeHV11vcWgZWB0FrVSjkqp4IObHj7/dDsVagWNBsn9shhiIScrQwDEwlaLhZi88FQb/SO+VYvMiW6T5Ma8w/lozM9P38mMPTGX/7lglIMdtbQ3VkuhqRISEltCKpXGpK/kL1+7CYCpphwZ5EKMVm7CjDUaWuqruHLLjWu5GqNvfgnYGm+NUkUsp9uDXn9nMrCmF5DLH8Zi1IqGulrNOjz+MIc6DFtasGC7uXTTzRGbUTT8crtzitVVa+BugOeONfHjt+8QDGc2btnqmdlQvJU6wZQ3xAtPteINRLg7vYDFpMVi0PL2ZSczcxnjndWk4/EDJo7vN1JfW863v3cVgE+eaObtK5O534LM+JzyZowda4UFqpVyrCYdv/3Awb/5h31bqnfm69QrdWlzbYWoEWa3zDn3S3mzkfnlUZEN/47Gk7lKu6aacmp0Ku5OLxRNs2IxavH4w/TtN9LTXksqlcLWVM21YS/nb2TWFrVSztNHLNwY9vKTZd1YX6nm6m0vV297Od5t4txHmd+0GnX45iP0dZmIxROcOWphYTGG0xvCYtKiEGRcWDYMGvUaDFWabdsvWZeLR/zb71wW/TxrqJRSP+0sEglYXIqTTIFSLlBXrclU8U1BOJogkdjuFu5Mdq0xLpVK5/JU/PjtO3zp+X3UVmm42D9FhUaJUi4QTa12AUcGleUqguEYLzzVxi8ujvOpEy1879d2lHJh2xWaUiV/sVor6W5+XotiISbj0/M80VNPKBJjJhChvq6C04818P4tN3/5+lDmpKzHjFWavHcUg445rg97c32ef7KXr+C01FdJhjgJCYktQxBk3B73Fxgwmky63PyUDUvSlSs5fdjCuetOylQK7rozuYFaGyqZnVtif/PWeGuUOmttAMU20mLXn706WXST22Gp4j987wq9HQZRw8TzRy1bXkVwu3EHIow456nWqUX1qvdvbV9OMYc3xH/7cT+fOdnKj966w6dOtDA9k8ltZTFqOdCWMcYV0wnkgsCNOzO8/LFO/uYN+ypPJKNew+M9meIGlwbv6ZWvXRhf5ckkyGTUVGlIJlOismOo1nCos44ypZwfvXWHjx2zboscneg2896Aa5UunTVUymSZ/GA2q54TPaZdow8X2xfky+9W90e+V97tu/6ct+Xrlxyc6KlHpRREZalap6amsgx9pZofvnmHaDzJiZ56WuqrqCiLYDFqOdFj5kBrLT99ZyT3/fziB4lkmvbGKky15TTWafH4F/ngpgfIGO0WI3H0ujJUCjlnrzlzv93WWEV7Q+UWvqXVrJUb1KDXMOwIcPyASTLE7SCWluKYayt49d0xoDA36eefbmdpSfKOexB2rTEOMnkqLt6YJhpP8sM37/DF5/bx7FErzplg5kQhHMspAzarHv9CBJ1GSYVGwV3XAjKZjKM2Az89m0kcmi3NvNcVbTHyFyvffKRodcz8vBZrhZhMzYQILETRV6rRa1X86c8Gcqeb2ZOyF8+002mplvpjB3B91MfFfhezeQVVVnqbNJt1dLfXcbRDyhEnISGxdQiCDNfsYsHfsvNTIpnC5VvEYtRmDuoWo3ziiWau3PJydL+RijIFFoOW3/lHzXvK+LNR1irEsBJBkHFjxIfFoBUPDzZqefNyfNUaYjXreP6oBatRu6f6wuEN8Z//9jrHu80MO8T1qqGJ7UuQfummm0g0wU/PjnCqtx6HZ4GFUIxThxrYb61iYTHOZ062MD27yJmjFoLhGJPeEM0mHboKFS7fIi+camMuFCMWTxXcW62Uc/pwI10ttfh8oQK9MmtEVyvldLfXYrNW8zdvDBNPpjj9WCO/+0w7d6cXmJ5dpMmkpcmk49z1KXzLoXXb6XGW0an7VlWizT7TvqZq/tmLvbxzbZK//OXQfcfUTmCtKsu3xv38qlxJd0vNtjxj1itvxG3kT370UW4/cmnQxVOH6nnhqVYmPSFcs4u0NlYiyGTcGvPz1U/t53u/uk0kmnEZysqjvlKNNxDhYGvm4Hnl+pPFORPi+WMWzn/kQi7IaDBU8Nmn2nB4grhmF+m06bEYtTjcC1jNOiwGLW2NlSVT0TvfUSOLWinHatZRplJwc9xP9zaG0EtsDIVC4MObnoK0QtnKuB/cdPPCk83EYsn730iigF1tjGsx6XjhqTbuTs/jDUQYc87R1lhNbWUZiUQaY7WaozYjY9Nz6DRK3L5F7I45etpq6O0w8PMLYyxFC30upYovxcl3If/BW3eK5rWA+5+YZKvSBRai1FSVFYQZQOakzO6Y47UL43zz5cMlsehIiDM0OcelARd3JgO5MBQoVJR/51Qr+601tNdL/SghIbG1JBIpmut1BWtWdn56rq+Jzz/dhnt2kenZMPub9Tg8QWqqyqjWqnlsXx3dzbsnX9NmsNFq66lUmu7WGn79/kSBsc2g12Cz6nOeUalUmiu3PZhqNIAMjz+85zziIGPsCobjxBPpot6E25VTLN/Aki2WljVGXL7t4eN9FlKpNLpyJSqFnLvuBZpMFXzpuX1UapS5e/zxX11hbHq+QB7MdeUYqjX0Lhs0iumV0XgSAXj9vbv84YsHuTo0w9j0POl0mtaGKtoaK7E1VZMmEza7lTnJ1sKs19DVohftz2aTjv/jOx+sOqTeydE7mf7TF90X/Pz8OD8/P76tz9hh1vFPPtfD5VseJtxBWhsrqa+t4Lp9hkP7ajncaeCdq05aGyr5h5/ej0yWCdGeyKs+GY0ncfvCfOK4ITcmi1Ucthi1+OaW+N//QR9//FdXOL88fixGLXXVZdwcmyUUifN7Z9ox68uBrfccXAurUcu3vnaUX73vwDW7iFGvQV9Zxq8vTRCJJmipr5T21DuIVCpNk0mbk0N9pTq3Xz99uFHqxwdkVxvjUqk0MlnGgFahUdI/4uPybS+6ciVf+cR+jtsMKBQCh9sznjiPtdcinLlXRnulIQ52V5LUzSKVSnOiR/w0pLZKnSvo0N1WK3qNzarHN7+Uc7//7ut20d+ZCUSo0Cglb8USZsg5j2MmhDcQIRiO02jQoVbOrApDMNeWS4Y4CQmJbUEQZFRoVKJeWEqlnIs3XAwv6xGXb3n45BNW/tcv9pJIpNa4q0SWYqFna63dTx+x8NblyQJPkmFHgBeebME3H2Fkal7UULfX9LN8Y9f5G1N84ZmO3OYoS6ZyY822bHrFDGRZY8ShjnvGiCaDliZDYT6w/P+2N1Yy4pwrkIcbw7M8c8RS8EzFPHGazDrUKgVDdwN8/ZM2FAqBRCK16p1Yz2x9TrK1KPY8xhqN6CH1TtWHs56zMpl4yGd+0b3tfsaeZj09zfqcDAF88lhTTmae6DLm/v+H74wULbaQ73WZH8mVf40gk3H9zixPdJvpsGTGQDSeZHRqPndd334Nxm3MD3c/rAYtdVVqJtwLDKyYm/binL2TyRjj7qXwyIZUZw3EUl8+GLvaGCcIMkLhGIc7DSwuJVAp5JjryilXK3G4g5zoMq5SpvPLaIstgLslSepmkV1Qhx3zvHimHa8/ozR3NFYRSyT52zfvkEqlmXAvcO6jaf7ZS73cHPczNBHgQGsNj+83YjVqc6elAJ3WKsZd86t+K+tBJ3krlib9EwGmvCGG7vppNFbg8AR55dwonz/dnssX02zWcXBfHUc76ra7uRISEnuYQHCJvi4T0VgC73JFZ7VKQTAcpaetluvDMwTDcdRKOYf3GSRD3DpZK/RsrbX7QGtt0eqJKmUj8USKi3nVVrOFCjotpRGetVXkG7tSqXQuFHQpnsQ9G84VGzn30RR/984IXc36LQ9n3Ig+XUyPy79HdhModo+sJ85bV5xMuIO5Sn8fDLoJhmOcPNSIIMhy41fs90pJlxSrInryoJn/8Yb4IfVO1IfzPWc1agWnDzcyF1zCE4hgqC6shgul84z5a0B+W7L/LwgyZueXuDXuLwjrM+g1GPTlBV68VoOWF8+0M+yYK1h/3htwcazLxKvnx+k7YEJzfToX8go7Z196bL+JNy87pT31DkcQZIxPz/PCU20FeT8bDFruTs8j5BmlJdbPrjbGpVJpguE47w24eOpQI3qdGqc3hF6rplqnXlNgtquM9k5mZSjKuGseXbmSb321j4sD07x5ZTJ3rSDIOGIz8v5NDx5/mGNdRo51m6mrUAGs66Qze1ImnayUHh+N+xmZnMM+EcBUU06nVc9Hw7NEogl+/PYddOVK9jXpOdZtpsdavd3NlZCQ2MOkUmnaGyoLqtkNjPoA+PTJFsan5/n0k83E42lJD9ggxUIH1Uo5x7pM99XD8qsnOrwhfvjOCEMTc1iMWvq6TFwadOXusZM9gx6GfB0pGwqaLTYSCsd57fzYPaOlO7jl4YwPq08LgmxD97AatMjlAolUCq1GRSgSQ6NWcKC1huoK1Y7TF7PjwB2IcHFgmr/4xW0sRi0GfXmB/MPO9DS6dNNNPJniZG8DS7EE9okAVpOOz55q44dv2ZkJLBVcvxOeMeuYMBOIcGA5jPrmuJ9qrYrBUR/PHFntydZpqea1C+NUaJQ5DzK1Uo5CLnCxf5rrwzP8s5d6GRzz75h9aXbulvbUu4NEIsX+Zj2jznlUCjl9XUb881G8/kVszXrpkPIB2dXGOEGQ4fAEOdFTz4e33Dx+wExLfSWBhSjzoRjXqso40l48Wfx2ldHeqYiFogTDcc7dmGbEWejZtrJc+4hzrmguiOwkfqHfxfDkHA11FdRWa3jryqR0slKC9E8EcM+GmA9FMVRrkMlk/PDNYb70fCfDjgBObwijXsOJg/WSIU5CQqIk6Gyq5sTBepKpNBOuBQ53Gqit1vCrSxOkU2lePNPB80cat7uZO5J8Y1GZWsFzfU345iJ8cMvNwmK0wFMrV+jBMcd+672k9GJ559RKOU8dasTu8BNYiC7nki0Nr5mtJKsjXR7y4vGHUasyqv3bVyY50Fqz4RDhzWrjRvVphzfE5SEPbn8Ec42GY/tNfOlM+33vIQgyxqbnaa2v4sNbbo7YjFTrYHw6YxC+NTnHgaadpXsUk/8TPfVc7J8GdqanUdZzNrsniCdTnOipJxJL8PPzY3RaazjQInDHGcA3lzHKlfozruwrhydTdbuvy5QLsxZ7BqtRyze/fJhff+BApVjMVW29avdiri0nsBDl5rh/XWNguylWsMdq1BaE90rsLBQKAZlMJvqZTCaT+vYB2dXGuFQqzcG2GryBCL9zspXp2RC3xudpMFTQaNAyMDJDmULgwH0quZTyhFcqrBWKMjQR4FiXkRFn5nO1Ur6qXDsUVxCzp6JfeX4ftyfnuDToZmBklqM2I8elk5WS4sa4n5n5CBPuTFWp5nodckHg6H4jo1PzBMMxnjxUj9WgZf8OU4YlJCR2L1aDlq7magbG/Nia9fgXlhgYmaW7tYYylYKx6XmEPoukDzwAWWPRsHOeCU+QgZFZDHoNTUYdv708mfPUAgoNDq4F3htw8a2v9nF5yFOgMwiCjL4uE7FEJgVJtqKbrly5Z/sokUwxM7dEk0lLOg16nZqZ+1S2344ccuvB4Q1x9qNpwkvx3DO8fc3Js0cs99X5srq/2x/hiM3INbs3Z5AbdswRCEZJpdL07KAqjsXyLgoy2NdUTVtD1Y70NEql0vS06XH7I0TjSU72NuQO6gVBRpNJRygSQyEI9HWZdoTOX6yvEskUn3myhWPL6XjEsBq0tJh1xOIpbo37OWIz0t1ak6taiUy2IwxxKw3H7990808/10P/yOy6KmpLlCapVJpwNE5bYzXDkwGu3PZiMWnpbNITicZLWi5LmV1tjAM4ebCBCwMufp7vpr98SvG5021Mzobua4yTuD9rVUe1WfX0tNbw8+WEj/rK9SmIK09Wuttq+W8/7i/oxyu3PTu6etRu4sqdWVy+RV6/eHfVWPv0yRb678xyvNuExahjv6Vqm1srISEhUYjVpGPcFeSdq85Vc9iZo5Ztbt3O5yfvjKx6r1nPnstDXhLJVO5zQZDlCjT86SuD1NdVcLK3IReWt9K7Pnu/b7zUu23Pt10U85o63m1icSlRUtVV14vDG+LSgGtV/1qMunXpeycPNvAXv7hFtQ6O2IyrZGVw1LdjdMe1DrsnPEH+4PM9mKs1W9yqR8fJgw386SuDqw7qxcZ4qev8giDj9kRA9DOPP8wffq77vuOuq1nPHee8qNyqlXKe6CpuzCsF8o2R2XncWKPhv/7oxrorakuUJoIgQ6tR8devDxXI5dXbXr766f0lbyguVYTtbsBmY9ZrCEXiq/KN6SvVONxB0qmM26XEw3Oi24xaKS/4W9Ydu8mQORn/xPFmdOUqmkw60XtkFUR3IMKf/OQGN0ZmcfsWOXttinPXp4p600lsL0OTc7zx/gSumUXRPnLNhulq0dNcXyUZ4iQkJEoSU7WGYJ6+oCtXcrC9FpVSIBSRTn0fhuwGTa2UY64tz1VjW4olUCvlePzhAoNDdiN+dciLwxPkg5turtz2cKKnfk3v+ptj/q1+tG1npSdOVscVBIH6uoqielmp4vSFmBQxIGarSAqCeJhUPma9ht59dcwFo0Vl5f1bO0N3zB5255MdRw21FXz7e1dweEPb1LqHx6zX0NFUXXBQf78ImlJlwhOkobYiN8fls14DeJNBy5mjFqIrnj87ri8PeR95ux8VWcNxVj6fOtRI/8gMDndwx/WlhDjDE3Oia/mwQ/zAQOL+7HrPOEGQMeFayP1/9qR1JhAhBSjkgqRgPyLul6AzP2fIXXew4MQHQKNW0N1Ww4/OjgAyOq16pryL9LTXUlNZxp0iA30v5ogpJT4a83FlyEs8kSIFBd4LWaZnQxzqqGVfvbgRVkJCQmK7EQQZk54gCoXA50+3MzUTzK1BVpNOWmceEEGQMeyYzyVoz4ZclakUTHlD6CvVmGrKqa0qy3l1FduIL8USmGrKSy78crvI95paqeOGowmePdJIX6dhxyROd3hDvHXNyYQrmJORfH3C5Vtc970ea68luBgrukkcmtg5spLNu5jNqZbtY0Euo7fDwPu3dnbhktO99Vy+5abRqsXhCa47gqbUsE/OIchlBaHzlwZdKOXChgzgPc16fvTWHWD1uJ6ZX8IxE8JqKL3+TqXSnOw1Y3fMMROIEEskeKKnXtq/7RIEQYbDHRRdyx2u4LoOSiRWs+uNcZkTpRom3EFRl+cbwzN0NlWV5KS2E1lPkt5ilXUOdRr4L397nb4uk6hr9qdPtnC3SBisNJFvD9dGffz5K4NFQ4+ytNZX0lBbvl3NlJCQkFgX5toKHj9gLqxA6QlybWgGc235jsozVSqkUmlOHDTxk3dGRdf1Nz90cGy/EYCz16bW3IjPzEVoqKtALhd2ZPjloyY/RUgxHfdbXz26Y5K+iyW+z9cnOpvW379NBi2PdRoIBKM7XlasRi3f+tpRBsb8/OLC+Oow+r6mku/ftbAatXzz5cMMO+cZHPURWIjS0167o/rNMRMSneM+d7qNSDRJi1m37nanUmm6riR/HwAAIABJREFUmvU41ti7lmKIp8Mr/g6k/dvuIJVKc6TLyC9F5qDfOdUq9eUDsifiM090m9CVK4u7qktuso+c9QzIFrOOL51p5999/RhfOtPO4OgsAEuxBECBm3c0nsQ3v4SuXFlwj1IPt9jNuAIhrttninovZPtOrZRzdL+RJsngLSEhUcKkUmm6W/VMz4Ry81o2FAPgwx0S1rZZPMypt2c5QXs+0XgS//wS/+LLh7EaM4nL//XXjtK334i5rkL0Pl3NNfzB57r5WJ9lx4VfbhYnus0FOu7K8KFsKFgpb5QEQVY08X1Wn1Ar5Zw6aN7QfQ80VfP04UZxWenZWbJiNWjx+sOi7ygUjpV0/64Hq1HL80ca+dbXjvLMEYtoqGcpj/FLg+LyO+kOIpdtfPytHNdQuB5dGHA9moY/JPnrQrEx7PGHpf3bLiCRSDEbEF/LZ+YiUiXVB2TXe8ZBZoL/oy8f4a9+cUv081t3/bxxRUmXtabkThl2MsVO6cRKXreYddwc91NbVYahWkNPe22B++ulQRd3pxf4/c8fZHDMx9BE6Ydb7Gauj/pAhmheF4CZQITutlqqtCqePtQg9ZGEhMSO4IjNxFuXnatCg3raa9FqlPhDMWq0qu1u5pYitmZvZE4XBBkjznnRzybcQZQKOT98Z4TbEwGajDqqtCoOttdwY7jwsCe7eSvmXb9X9QGrUcs//73H+Jtf20XDh+yOAO5ABLO+9JL8Z2XLPx/FMxcWvWYmEOH0Yw0c7Kh7oP7tadbzra8e5f1bHoYmAnQ0VmGs0fDd1+10Wqt2RFXHrMFjoojONekJ7mjPuHysBi10w/u3PJw52kQoEmPSE2J/c+mOcXcgwu274oUbvIEIX3i6fcP3zMxxffzpK4Oi65FCLjDiDtJh3p70LyvXhacfayxaaMTpCXH6sAW3b5GZQITOpmpO9daXZF9KFEelknPXtdrDEeCuawGVSk4slhT9XKI4e8IYB3DsgJmLN6ZFXZ4tBi1ajZr/+P1r/Mu/d0SaHB6StRR3sapfZ69N8a+/dpTu1hpC4ZhoJbvsIvRnrwzwzZcP8/KzHbtC6diJXB6exe1f5M0PHXRa9aJjqsmk5bmjTbSYpLEkISGxc2hpqKLJpKPJpBNNl9DSUMnjnYZtbuXWUWzN3kiI1FrV1jsaq/j2X18hGI4D4PSGONVbz9BElDNHLYQi8aIb8fWkxdgr3Bj2cni/oWg182//9RW++fLhktJvs7IVT6b44rP7UCgz+YhW0tJQyVOH6rHUPXjbs7LiDkQK5G3cNV/SVR3z9emeNj0dlmrRd2So1jDhCe6KCISVc45aKcdUU86TPaaSfL7BiQB//upgUX24s6n6gQ3hZr2GrhZ90fVoKZZEJci2XHbF1oX3BlwcO2AWnectRi1Dd/20Wyp58en2kjwYkLg/sViS5nqdqJy31FdKhrgHZE+EqWZ5qrde1OVZJpPxP349xPFus1TZ5SHJTtBvfOBgwr3AGx84+PZfX81VeirmwvzeoIdnjloIL4mHEkdjCbQaFcFwnPdvefa84r1d3JwI8D9+fRuHO0gwHKdMpRAdU0f3GyVDnISExI7kyYPmVZXsILMW9d+ZxenbuZULN0qxNXujulKxauvGGk3OMAKZKqof3PRw8YaLX78/weVbHtLpNE/2FPeI2ev6gCDIsDvm8RQJYfT4w8TiqZLTb7Oydaq3nlfeHUWQCaIy8uzhxocyxOXz7kdTBfIGpVvVcaU+/cv3Jkil0qLvSK1S8N5g6T3Dg7ByzonGkzg8wZJ8vluTc5y7PrWmPnyqt/6hfmOt9SgYjnHFvvXVVcXWhWA4jrlGPLRYIZexuBTn0oCbWFwy2OxUBEFWtEK3ubZcKuDwgJSkZ5zNZvtd4It2u/0rj/K+bQ2VPHesiblgFKc3hEGvKajUFI0nmZoJSaesD8H5fpfognGh38Xf/3hnURfmoYkAVrMWb5Gkzd5AhMRyFa2dVAFrt/HhbS8VGmUuufalQVeB63x9XQUnDprpbanZ5pZKSEhIPBiH2mv54Zt3RD9zekOMTQex1O7+w4b8Sp0r2WgVPNGw0h4T333dnrtGrIpq/kb8S2d2/zt/EFKpNIc76/igiEHJ6clUrC2lyoVZ2VIr5SzFkxmD2Ap9wmLUoq9Ubyjx/Xp+U4xSejdZxPTpYUeAM0ctzMxFmAlECvYxu6Hi807qo8mZEDeGZ3L7FjF9+FNPWB+6QGCzUYd3rkhBm0AEGcXTAm0Ga/XR+4Nu/rd/0Mfr708wPbOYk88L/fcqIu/0yr97mbIyJR8OeujrMuXkPNvHHw56+MLpdsLh2HY3c8dRcsY4m832X4BPAB896nsnEilkMlnmlDCRZHDUV7DQTXlDHO82l8xEv9MQBBl3JsUn6OHJOcbcQSwmragLs6G6jL/97XBRN2+DXsPgqA+Qqu9sBw5viAlPkAnXQkGVq1QqzcX+adRKOfpKNeVlCskQJyEhsaOJxZJYTFrxtBZGLe8PurE1VWOq3t2hNmuFlz7IOiwWVtpprWLclcknt1YV1VLbiJcaPa01jE0vrKk/PXWotmTeX1a2ovEE7tlw7m/5+oTHH6bRoH1kbX7U8ryZFNOnffNL+INRBkd96CvVBfuYUnuGB2En9dGNUR9j0wsY9BpRfdhQXfbQhjjIvJN9xcKT9Rq05aotDVFeq4/2NVVjqaugxawjFk+t2meD5FCxk4nFEhhrywvkPNvHx7vNxJYLMEpsjFIMU30P+MPNunlXi55qnRq3b7U7v9Wso6dVv1k/veN4EHfTYhXQ6usq+P4bduprxd1b1SrFmm7eZSpFrkqYVH1na3HOhvj5xbtcGfLQaNQSjSdX9VM0niSwEOXwHsqlJCEhsXs5ajOKrkUNBi1VWjXf/dUQ7iKGo91EsfDSB12HV27C8u8fWIhiKJJLqNQ24qVGk0FbtGpomSpz7h5LJHMpQ+DhquM+Ck50mznQUkOjsVBvjMaTuH1h9Dr1I9fJi8nzkz0mFIrS2hKJ6dPReJKmZa+i/H3MbtKNs1VE86upllr1W3cgwo07s1Tr1EX14T6b8ZH9XrE0SxVlCuKJFP/pB9e3dD2637rQ1axHJrBqnw3SXL6TSaXSNJt1uUrd2TlIrZTTXP9oPJj3IrJ0entenM1m+8fAH63489ftdvtlm832DPAHdrv95fvdJ5FIphUK+f0uK+C3H0zwZz8bWFWl69MnW6ipLKPTqudAa+2G7rmbuDXu491rTm6O++lureHpI5Z1v4+//e0QP35rRPTdvn7xLr0dtWjUChaXMu6tzWYdOq2KX1/K5MJYWTHI1qzHWKPhUr+b/S36DbXlIdlULfVB5HY7OP/RFO8PugiF41RoFHS11PDdX94mnkwV9FNbYxWPd5t56rHG7W7yXmfTd1c7RXYfNS9889UNf+e1//y5TWjJrqQk5fa186MMjvpwekNYjFoaDFp+dekuv/dcB5OeEOPTC9iat3Rd2hayOsGtcT8HNqgTrLyHmF5xa9zHmx86uOOY4/SRBn742zurdIg//v0TpfqOS0p2s+95cMyHxaClskKFbz6CSpkJZXzhVAtPH2ni7NVJboz4NqzjPUpujfv4N392ib4uU0Fyesj0+f/y8uFN0Sny5bm7rYb2xmqu2b043EGsZh1P9jaUhC5TTJ/+zKkWZMiYcC3gXQ6H/MKZjo32YUnJbT63xn389oMJhh1zmOsqaG+sRC6XcfGGm66t3QcU5c9f6WdqZpEylYJrdi9HbMacPmzUa9jfoudLH9v/SH8zO0/aJwLU11XQYKhgdi5COp2J/IolUliMFZw81Lgl7+d+60KxvfYjGNfS/mwb+dnZYUYm54nFMzKnUgiolAIdTVX87jOd2928Uqao3G6bMW4tNmKMm5kJrusBDAYdMzP3XHzf/miKu64gDnewIOeCUi7wu0+3s99aXfIx7Suf6VGwskIOZCbP/EpT96uW+vY1Z87YZtBrqChTkErDhRvTWE06YonMqZG+Uo2uXMVj++r4u7dHCtqhVsr57FNtfOrxJmBr8yEAGAy6TZ3s1yu3G+FRy8PNiQCXb3sK+1KjxGbVc3Mss0Ftb6zC1qynoVbzyBIs57MZMr6dbPbzbLbcwqOX3Z3Sx//o/3p7w9/5zr96dhNasj1sZj+VktzmP+f5QReu2UV0FSoGRnzoypV0t9UxMDbLjP9erpRrdm9JVWLfrL560HV4pV4hCDJO9dajUMgZdc7T06YnkUzn9ISVG9vThxvpaS7NqIVSkt0sgiDjT346wLAjQIVGSWAhmjtAQwaTInpvsWqimznuv//mHd66MrnqELbZrOO5o5YNjacHaacgyBgY9/P//Lh/lc77jZd6N0XmNtJOx0yIt6+K69OZkMU0sUSKozYjL55u22g7Sk5uofgepK/LxMX+6dy/11v9djPkVxBk/NvvXMZi1BYY4uaCUdoaKjHVljM7t8TvPdO+rvttpI2CIOO/v3oT12wIjz/CsQMmBBmrZOTZIxsbPw/TPrF1YXImxJtXnaRSrMotpitXrvvdFGnPtu3Pdoq+ulkoFALn+qdZWIzj9IZyB5UWo5bKCiWnextIJFLb3cxtYy35WEtuSy5n3FYgCDLeH/RQV1W2KndcNJVk3LWAUiGUjGK9laxVOc1q1IqWs84vC281avnk8WbevuYknQalXCCZyiQ2hXu5S7LurYc6DPS01vDzZZfX/5+9O41u7DzvBP/HRhAgQGzEQhIEVxEkwWItrI2qxSrJlmO5FaVjeescKc7S8el2errTmXPS8px0Mp4+UX/JSeekPZPusZU4yhlbseyOpFiKpZKqVJKKVcXaubO4giCJhQQIAiQIYpsPqHsLy73gUiQW8vl9kYoEgYt73/e9732X50lla3jUEaKlr/k361nF9cHsVOoGjQxyqRhP1KkhFAAV5eI9GYgjhJBCajAqsbIagWspBHm5BA3VKvz4/dGsNvF4u5G9R+5nO70PZ/YrmIypbL8rEkVFuQRqpRShcDQtHk3/xBKq1LKiHYwrRvF4AlWqctxai7CZQ88fqeG8n/d0VuOz+/N5L79OX4iNiZYZa8vpXdu1pA25xOMJXB9ycfZ5bwy5ClbmmMENiz75kDs5t4IqtSytP320Vc/GUT7RtnvbIQuN7xlkfSPKbo1LfSbJN+batNWr8UHfLDuIvBwIo7GmEqpKKd75dAp/8LUje/L58XgCakUZrg8GIZWIoNfI8O5n01n12mxQ5u38ZNZTuzuI134xnHY8qbHFGqorKWZciYrHE1gObuCdT6ayytzz5xrpmu7QgRyMS8085Vxay/r94nIItibtgWsscmXIYQJu5hqsEwiAqwPJFXMtZhUMGhk+vjOHUDgZ0DE19hvz7x6bEXX6ZJa1GyNuDE15k1nWbMZ9/2BTrOzuIJaCYThcAc5rPesKQiQU4Ik6NYxaOdrMqgIdKSGE7J06vQL+tQh8K+vwB8Ow87SJCSQwOe+H0xeCiSfm2UHCxCJjQk+k9iu4Mqb6VsLobNJhzP7odcyEHUABv3eix2bC5dtziMTiOHe4FpFoLOcgR74TZPRPLqKmqiIt4UTqJG0+jkMsFnIGxQeSK8/EYmFeV3nY3UH0jbjg9IZg0spwos2IVrMa73w6xa5wZOIz6TVyPHVMtq/6yrmeQTy+EDSVUnZXzeS8P6/lNfPa2Jp0uHx7Lm0Q+fqgE8+fbcIffO3Inl4Tpm4btTLMe1Y56/XknB/C4+aCtJmD0174AutsQr7UthygmHGlTCwWYtYV5H02FIuF2NjIjhNIcivKwbjR0dHLAC7v5WdwZZ5ilsonkMDFvlk8mF3GaZsJ7XXqvTyUohGPJ9BsVvFmO13wruUcrBue9rLnc8a5AqlEhK9caMHV/gVYLRrYmrQYmvKioboya8DNYlCg21aNpaUgNdIFNOsJwrm8hnc/m+F9zcLiKk52GFClKqeBOELIvtZZr0GlTIJ58xr++Rp3u+hwBfHMCTMu3pzF+cM1++bheLtmPUFMOQMYnvZhYXEVLXVqnO+qximbAc6l5EMjV8bUcCSGSDTBZiXMRA9v22cxJCc5xxx+fHpvnvd1zCBHvs5xMsyJC8PTXpiNCpw/UoNP7y+wn53PQP3RaBx1RiVnmas3KXFt2AWjWpaXLJWZIV4A4KPbDjx9zIw//MZR9A66MGr3sX3nfKwczLdcWTrNRgXkUjHEIgG8K2HIpBJMOwN5aWu5rk0g5Mbvv9iFgUnvo+vSadyV7KmbYer26OwyPutf4HzN/NLqnh9HptS63WrRoLFGhaEpL7sgA9hfiUYOong8gQWesrWwtLrv2qR8KcrBuHxgMk+lblHt6axOCyJrdwZwY9CFf/lUM9rqij+G3OOyu4OIRmPsUnAGk+30s/4F3sG6OqMCfUOutJ+FIzEs+dfxp791gq2gnfWanLNZVJELx+4OYm5xFXfGPHB519DZrOPspDbWVqKpRoW2AzJITQg52JgQDDPOAGebqNfIMDG3gjujbph0Ffu+r8BlYMaHqYWVrC1Tn92bx4VuM4626qFTy/DpvTk0mCrZ2LHMaz+5N4fffd6W1icDkv0PW5O2IN+p1FkMCvQOOnPez/UaGcbsvrw8IGeGOWG2N71wvgm3ht3Qa2SwWjR5GdBgnLJxJ4+orqrAtQEXVIoyHG3V7/mW1THHMuc2YrNBic8fq4XFoEjrO+/XvjKz6ivzerSa1RCKBRiZXoZzaQ1mowIf3ZnD00dr97y95b02egW+fqG5IKt2mXuS3RXkXN1ZZ1DA7g7kLYQMV90emFjC8+eaMDXvh8cXgsWkxOe3GQuSFJdoNJ4sW1xlzqg80PHiHkdx5fHOs856Df7dV7tw9nANmmtVSCDBufTS7grgL/7hblpK+P2od9CJT+8v4Hi7Ed1tBliMSnS3GfDcmQbcHnUjGgc7WJdKKhFBISvjTGE9avdl/Wy/diJKmd0dxKf9C5hbWoXbF0I4EstK1w4kr/XhlioaiCOEHDg9nUbONrG8TIzp+RVUyCSYdQXYbZoHhd0dxP/71gDsTu5tvCtrGwCA/vFFHG6pgsWkRLlEjM5mHc501UAoFKCiXIzJeT9O2Yw4aTPCYlTieJsB54/WYoyjH0E2x2z7y3U/f6JOjT/8xtG8PCDzhTmZfZiMYMzuQ2ueV9t31mvw+y924UxXNSxGJT53rBYvnG/CxJwfi8shrKxu4Oawa0/7/0KhABNzK5znZmLOn7bte7+zGBT4yoVmHH/4DHL2cDW++Wwrxuf8uHh9FuGNKOqMSlwbcOL6gBNjDv+eHs9Wrk2hrotQKIBSXsZZr5XyMvzgneG8Pbfy1e2peT/bfn/hOA3ElTqxWMhf5mQSiMUHelhpxw7syjhGZ4MW/+vKJFQKKRw8jZbDFcTZw7VpAUNL7ea42Q2D6bSlBtI1auXw+NawHAhDr5YhuLaBq/0LaVmv9BoZ2hs0WFwOcb6v1ZI9m0ixX4rPpNOPMfsyJGIhu1WodyD9WltMSpzqMMJGgbQJIQeQRZ98UBy1L6dlh0sNqD6/uMre40rlXpd6nDs55t5BFypkkqztpwyHK4iNaDJuUGrSC6av8Y3Pt6KzUYv/8dYgZpwrKJeK8czxOiwthzA644OpqgJ2TzCvK6b2g9Rtf5n3c7NBAYNWhvVwZE8fkFPrAl+YE7cvhFO2atgaNAV5WD/UqMW7vTN45qQZK8EI3roymTMg/m7Xa6FQgIVF/q1fqa8DSue5YyeEQgG8KxsQi4Q43WmC2xfCj98f4008MjmfHhttN68Nc763cm0KIfk94zjebszKWLrkD8EXWMfgtG/P6tRW6rbHF8KvnG6ArUGTl+3eZG+JxUL4gmHOMrccDOc9zuZ+ceAH4+LxBFpqVRh3LKPOoORceqnXyBBY24DHG4LdE8SVewsYn12GqaoCLbWVaDUX7xbW5B7+ZFKFtno1emwmzmNN7bQJhYK0imbQyqBRlmNoypuV9WpgYglL/nV867k2XLo1xwaX1VRKsRqKQKeS4k9e60NbvRq2Jh2GppYwPJ37WEh+3Zn0YtEfZgOuMjPo4UgsbWD2C8fNdDMlhBxoqQHVmS2VzEqEz5+0ILC6gT/+wXWYDUoo5WUA4jjdUZz3OqZ/MGb3o+eQEU5vCBMO/7buz8kHMV8yCUOOrZBM5kcgOzvikn8dJo2M7YN0Ww24eMOe9gB+b8zDZm0nW9djM+Fq/wIqZBLcHE6GEjFq5agxVODGgGvPBjpT+57tDWp0NlfBbFBwhjnpaNTiSyfrdvXztyMeT+Bwiw4+fxgLS2u8AfFnLSpc7d+8P71VzDmamFtBQzV37LpWsxozrgA+LqHnjscx7Qzg0q1Z9t+RWDxn4pH5hwNlW33W2YrU9+ps0qDZrOK9NoUeGD3dYcKrr98CAPaZrEwixItPPwGRUIjrg06srG7saqKPzHP9ZKeJN9Zfq0Vd0LpNdlc8nkCdQYF3PplCmUSIhupKjNl92IjEKZvqYzjwg3FAsrMy41qBXiPjjJfGbEF54VwTXv27W1kdxFM2I54+VnzLbzP38M84V3D59hxvh5aJ1XC8PT2GBjMT9ZULzZheSDa2qdlxmBgfTLDg8Tk/nIuraG5Rwe4KYtYdYD/7eLsRM86VTY+F5MeNsUXcHnXDubjKBlx9r3c6fTBWI8NJm4kG4gghB57FoMAffuMoLt+dx+ScH0atDPXVKswvBjE57odeI4PZoETvwAIkIiGOtxvx6uu3iu5el9o/ONNVg59dmthyXyFV6kRe6kQOIzOLOoNJHOBcWmMzeTIDR5nZVoFHWduL6RyWihMdJozPLuNwqx4WowIe3xp+fmkC8XhiTwY6M/ueZoMCf/UP93C83chZPk53FD6g+5EnqvDzjyfTsj6mml9axQ/fGU5LUvY4fdjMc2TSyTnPTdcTVfizEnrueFzMdkeTTo6NaJx31w3TfrTWqTHtDPA+6+j1ym19Ptdz07f+RQfntWlrLHwsSyaZw8VbDjhcQTx3phqLyyF82DcLvUaGOqMSH/TZcfm2Y1fqON9z5Xde7OKM9bcRicHuDu67cnpQxeMJrK1H8ML5Jsy6A5hzr6KzWYc6gxLB0AYNxu0QDcYh2Zj95q+04596Z/DcmQbYnYGsLSgn242wuwMokwjTGptwJIbV9Sj6RtxF19jw7eFnOrSZy7ktBgW++3I3Prjp4Pw7tzcEpVyCwFqE/XlmZpyfXRrnXU6eORtOnevCsruD+Jt3BnkDri4Hwuhs0aGpRoVjzboCHy0hhBQHi0EBgQA41FKF8jIR3vkke1sbe9/biMKolRVdH4HpH0glosce/GIm8lK3Qi4Hwmhr0EBWLsbPL01k/Y1RK4PLuwapRMRm8kw+WB7HX//jAOfnMIN21OHfGq6g6vfGkluEU89hOBLDtaHd64ul9j1TyxdX6ItiCehu0sghFotgNiqyVkFJJSJ0NVfh4zuOtJ8/Th82s3/OhIARCoBZd5DNmnptiLsfX6zPHY8jdbujbyWMBlNlWoZlZteNbyXMJh4511WNqwP8zzrdtuptHUPmdVHKJXhg93Fuy7v3wFMUfWOLQYEvHDejd9CVlUAn9V60G3Wc77lyzO7jDOHw6f0FyKSSfVVOD7J4PAF5uSRrK/9tiYdWxj0GGox7yKiWod6ogHcljDG7j92CEonFcbarGtF4AndGPWhv0EIiFqF34FEqdo8vBAGKKxYa3x5+oVAAgVCANy5NYGTGh7Z6Tdry5XqjErMu7th5M64A/uS3T+HSbQcGp7xsZ4H5W75Gen0jCqVcggqZBMuBMDsbLpWIsOQPFdV5OyjuTntxe9idM+CqRlmOlloVjjQVvrNBCCHFQiwWYsLhh8u7hkPNOs52NLwRhcWogC8QRpVaDm9gvWjinqX2DzSVUt5Yb1sd/GJWZ/QOuvBgdhlPdpngWlpD//gSzEYFznZV49P7j/pMUokIzWY1XN4QOpt1adlSTQ/j0HJtC2MG7cjW9A66ePtkmSt9hqa8eE8uga1B+1gPzpl9z9TylRnmxOVdQ4NJWRTXNB5PoMGkgMOzyp4boVDADh7eH19kw3ik9v93MkDM1T+XiISYmFuGtrIc3/udk4hG4xCLhfj798c436MYnzseV+oq23AkBpFIiDKJEDKpGMesBnYwrLNZh66WKjz/ZAPqjUq89osRzvfjSiCXC3NdUkPtHLMa4HAHMTHnTwvPE47EYDEqiyZGVp1egSvRBd57kVQieuw6nis2nHNpDf0TXjiXVtPOEQAMz3jh9NXApJFt/4uRoiKTSeDi2crvWlqDTCbB6upGgY6udNFgXIpWsxqf3J/HF0/XY2p+BWViEbrbDTlnGoBkPBSjVl5UN8TUm1qqns5qXLo5m7HE2IHvvNiFznoN598xHRIA+Ks376OtXo1vPdeW9lCxWQDPUzYTxuzLMGhlkIgVaDGrEQpHk8FZP3yAHptp28vJyc7cGFvEu59N8f7e4wvh3NFaWOs0ONRAyRoI2anf/q8fbev1r/2np/foSMhuikbjqDMqsRGNwc0zkOVeDsGgkUMiEUIiEuLT+wu4PeJh77WFlHqfzxXrbTuDXxaDAhaDAnZPMCuch1Qiwgvnm3Br2A29RoZ6kxJvXZlEKBxlV2SnbqFiVtplbnlKXYVP+NndQQzNeDE87eX8feoWYYZeI8Pbn0zh7U+mHms7W2Yfkqt8MWFODrfoi6rf3GpWY84TxHNnGrDgWYVaKcWlW46c/f+dDBBnxmhOXS2orSzH3YklDE4uYWRmGWaDAkatPG0AECjO547dkFr3ewcW8OShanz1mRa88cGDrF0cr7zUzfusA3AnkMslHk/gTJcJD2aXoVPJ4F8NY2p+BWajAiZdBXoHFtLqjMWkLIqBOCD5DDbOk1nW7QvhCyctcHlXH6uO5zrXRq0cOlU5ZpwrWVu99WrpVzz6AAAgAElEQVQZXn39Zt6yNpO9EwpFMMPRVwCSC3ZCoQjn70hulIM2hcWgwLmuGpSXiR6mYk5g1hnIudrLYlRCVVGGE22GLX8Ok6Fnr/XYTGnph6USEcI821Gu3JnDrCfI+Xc9ndW4OezCZ/fnMeNcwS+v2/Hq391KS5nNNNJcDBoZPrk7n8zQ2Z9MRy4UALdG3LC7Asn3e/0WhqaWOP+e7J67k0u4OeSEy7sGPc8sVXVVBZpq1TQQRwghPE7ZjFgNRWA2cj9cGNQyVMjKkve8QRd6Oquz7rV7Yav9C+Y+H47E2FhvqXYy+CUUCtDLs2Vs1hkAkMCY3QeXN4RQOJr2+95BF/tvi0GB7327B188VY+G6kp88VR90cXcK1bM1lSXd533Hm/QyOBbCbP/To3rl3ktNsNV3lL7kLtZvvaaxaDAhaNmbGzEIBYJsRbm7i9HYjEo5ZLH+g7MOWL610x/OJEAvv/mffzyuh0zzhV8dn8eN4dd7IQ4kDx3FeXibT13lApmle0XT9Wzz1fz7lXebahA9jMLsLPyZXcH8bNLEyiTiHHplgO9/U7YXQFcvb/AeQ1OFkGsQ0auZzC9RoaP7zhQX63aUR1PxXeuT7QZeH9XXiZGYC2y488kxYNJ4MClzlgcq5xLEa2My8DM7rbWaXC1fwFDUzwzi8shnD1Si8HJJUDA3fnNXD6+m9l++D4j87t89+VuDEz5cPeBB0ee0OPGkJPztW5fCANTPtTpFWlbTibn/RAIsKV4Mnyz2dKM4M1MvIvUbRLhSAwf33bgxfNNOz4XJLeR2WWMz/nh9oXSOsiZ1+uo1YBjTYUPTEsIIcWqs16Db//LQ+xqGa773mpog/0dszUw9V4LcN/Dd7L1LLV/YWvS4mSbIWf/wmJQ4JWXu9E7kNxa+pULLXB71zA+588KQbHVz170r/NueXX7QuhsrkI8nsD7N+xZv8/c7tfRqINeUbavtuHlQ+9gso8XDG3w3uM/d7QWVWoZhqa8abGRmW14k/P+Tc97rv4s04e8NuTC0JQXG5EoG4uWiSelV8vQVFNZNCuLGMwzgFgsxB//4Abna5yLazh/1Ayr5VFG0+2UU6FQwBmjOVf8RoEAaDarUKWSoblWhVazat8OTjPXgBno/ZPX+jhfNzLjY88l88wyavdtq/1KvW5M3eG7Bgkk0FyrQnVVBU52GAu+wjkT3zMYMxg2veBn24PJef+mW2zZOm5fRpvlUR3nO9dCoQDPnWnAvGcVC4uraW0LQDE/94PycjGU8jLO+4pSJkF5uRjr69Ec70C40GAcD7NOjkg0DpNOzrl9w6CW4aO+5HZPuzOAz+7NszO3XJ0UANvKbLoZuzuIN69MYnDSyzuwl34cGtgaNAisbWDGmf199BoZ7j7w4MunLWwg5c06JJkNa2Yj3VavASDA+zdmsv6Wa5vE0JQXwqeaqaHeAzcfLOKfPp2CRCxkA+IWczBlQggpdp31Gnx824EL3WZ4lkNZiZ/MegV7n/P4Qmi1qFFRLsH9cQ9sjRr0DmT3E3YyYceV4e7Dvlne/kVq36CzSYPffb6Djeez3Yel1M+WSkS8W147GrUoLxNgxrnG+f582/2oP7B1TLgQJk6bwxNMu8frNTLoNXIcatTiUKMWv+yz4+eXJxGJxdNeZ9DIMe0M8JY9voyKqeWN6UP+TCTExRt29A2702JunegwFt1AXKpoNM67JU+vkeHiDTsu3rDjOy92sVtKN6uzWf32ThPm3Kvs73PFb3S4g/je75xEPJ44MHWC+Z6810FdjhlXgJ3YEIsAnaocYlHWS7NkPad1mjBm98OolfNeg3nPKv7Lvz6FjY0Y5+8LrcGkzDkY5vaGYK3XQK0oQywO/PEPbuR8fkyr4wvpdZwrCWA8nsDGRhQCABvRWFrcOIBifu4XvmCYM6HJcjC8+R8TTjQYl8PhJ6pwc9jFO+ududrr2pALQiHw2i+G4fImAxzOOFdwtX8BJztMWTMtADA47dv24MdWOkLcr0nGhkuNgcF8n/IyMapUsqyGcmphBfUmRdqNkOlQ2Rq1Wa/PbKTfuDTO2fjqNTIMTKRvS+3geD/y+IYcfoTWI4hEo9BrlGmz5UwwZaNWjmPtuVdSEEIIeSQeT8CgkcHpDWFgYikrcLVBI0P/w/tcQ3Ul1jeikJWL0dViTourxtzDT9mMuHJ3Pu1nW5mwy0yexNyjU7MtMvdkrr7BxT4H+zlc9+BcA3Spn51rxfVpmxECAIvLYc7fF9uWxVLEbFW7fHuOHRRNTZgwMLGEc4el+OnlcQxM+tBsVuGUzYh4AugbepTswe4K4OawC6+81M0Zy5cvWVffiBsNJiV7LABgtahx8eFKSCZWXLFt8eOTa6UR87Mrd+bQ/7DOM3X2uy93oz5jyxZfv/0rF5oxtZCM9bUc3MAxq55dbctkDg1HYrBaNEU9eLmXcu26uTrgwpOd6YsdAOBinwPffZm7/PJdi9/4ohVj9mVUyCXsM1wqq0VTtANxwOaDYWaDAtpKKT64kRk3PPs+w1fHUzOyMuWbuT8IhQKcaDPio9sOttwyqI3fH9bXo6gzKPDOJ1NQyMXobKrCwOQigmtRPH+ukVbF7RANxuXQWa+BAIBRWwG7K4CFxVU8UaeGRCzKWu3FLKd+vy+Z+ryzWcfOSFTIJHgwu5z2WmYW8vqgEyurG9vaEsLXSKZuG+V7zeCkF//ua4dx+ZYD7pQR7dujbvzRbxxLe73dHcRHt5PfRyoRZc2ehjZisLuDnMfNNNJ8N9GKcnHWzz53zLyl70+2rm9sEffGPXC4gmisVaOjUYc3Lo6lzWoYNDIc7zDhSANtTSWEkO1gHj4ApK30Zh4WI7E4zh+pQTQeh3MpGatz0R9CJJb+YM0XviEzHESm1ORJmcHgPf51DM8uo39iEcPTy2gxq6CtLOf8bK7P2Sy0htMXwvB0esZCZsV1NBaHy7uGlloVDFoZfvTuKFotKhxvN6LOqMS4w4+FpVW0mtU421VNE0G7hOlzpQ6Kpg6CbURjuHhzFkDyQVwpl+CY1cDbp+y2Vaf9nCtZF1PuPP51/OfXbsCkq0BLbSVazWp01mvwnRe7cGPIBbszAItJWZRb/LhkbrfNXGkEJLdfM6tfhUIBjrcb8X6fAw53MK3O8PXJ3d4QlHIJAmsRdFsNEIuA80dqsLr+KHNoRbn4QA9klElEvKuPLUYlKiskaec29Tq89u5I2hZLgPv5KBKLYzkYRmgjmVQm9RkuHk+UzGBSrsEwsUiABZ5MmKntf66EfENTXlwzKlCjqwCQPJfDMz7UGZRQyssgEMRxot0Is0GJiTlq4/cbsViIUDiKbz5rxdisD1PzK7DWa9Fap4Fnea1osguXGhqM24StXgNbvQZisZBdHv73Fx9kzRL3dFZzZl06d7gWU/N+mI1KdusGE7A19bWXbzu2NAMuFAowMbcCk06e1dgy20YB8Dako3YfvvlMC5TlYjaWXJVKhj/6jWNZy477RlxYXY/izpgHPZ3VMGhlWZllU7fncuGLLwAAMqkk7WcdjTp4PNxZWsj23XywiNfeGUy7XreG3XjpuXbcGXVjORDGoRYdmmtVONKkK/DREkJI6bEYFHj6mDnt4aPFrIJJW4FrA078+lPNeOeTqaxMgGe7qnHl7nzaChiu8A2p4SC4VqilZrjj6lvcG/PgeLsRM84VzDhXsrJBcn0OkByI+/Of3EGFTALfSjhrBQXz+1aLJm1bajyewGf35/HlJxvwa+ca8Wd/dxOBtWSGtakFP/seX+g2s68nuyd1AOnC8ToE1zYw6wqirV4DnUqKn1x8wL5WKhGhoboSDjd3QpFRuy/rZ/F4As1mVdpuiaxy50yWu1M2I54+ZkZnvQadD/vRpfagxuz2eKdcnNb/ZZiNCvSPL8Kkk6O1To3rg4/OA1tnXu7GyMxy1mo3ABif8+OVl47js/4FLPrXIRAIs1YpSiUiPH1AJ6tT2xmu1cedTVrYXcG0SYzM8pi6xbLBpMSifz1rdW5PZzV+kfF8I5WI8OxJCxIJbGvBRCFx3Y8aqysRiycw7vBDLErmbcwsi6ntf66sqXqNDD/+YAxf6mnAW1cm0+q8VCLC8XYj/vub9/Hdl7vx7HFq4/cboVCA6qoKvP7uCMezZVveElTuNzQYt0WpHQiTVpbWkGdmKZVKRNCpy/GEWYONaHLJpkiYnO26MezmDQ662Qw4AEy7Ask4ds5Y1sxN6n78XKm+4/EE6vQK1OkVbIw4uzuINy6Np8VPcPuSs1DxeAI3h1041KLb0XHzxRfg+hnZHQOzy+gfX+S8XkNTS5j3BCARi2Fr0KKtjjsDEyGEkM0x97jMh4/nTlvw33/Wz9kOR2MJfP3zrRh3LLMrYCwmJf65N33VfVu9BtPOAOcKNeb+2WMz4Wr/Am/fgkkewaySSv03IzOez5hjGa0WDXtsTF+Dud/3DjoRWIukZcpkHu4A4ESbAZfvzLEDcanHs5W+Dtm5zD5XaiB85t+pKyhrDQqYdBVsX5JhtXCvXkvtA6cmHch8wF9dj6ZtlS61gbhUsrLsQGQyqRgtZhXCGzEsB8KIxhLcfeQBF546VoPhaR+cS2tp9clq0cCkkeGrTzXjv/zdLagUZZtuDzxIUtsZ4NHqY6FQgLNd1VgLx7CwuMqe01uj/M9Yn/YvoG/EldWmlUlESID72q2sbuD3nu8oqeeU1PuRUCjA9/72JsYdycHgrhYd6oxKtu4z50Epl6R9x1xbtDcicTjcQc7QSzKpCGUSIa4OuNhYfmT/iMcTGJry8jxbenH+UDXPX5JcaDBum4RCAXr7XWnb/FotaozZl7M6OEw2K4cnyM6yvPSlNrx/PTuTGJA704zdHcSYYxk/uzSRNXPDzAKlLqHma0gzl1nzxZC5fHsOX32mBfFE8nM0lVK4vdxBTZmMRju5WZXSDa5U3HywiIk5P2eiDgBwuIL4ldMNkJVLaCCOEEJ2Seb9LBqNY35xlfO1DncQDneQXVXGrJg73m5kV61JJSJ0NGp5Y019dt/JDs698tJx/PU/DnB+VuaKu8x/Z/YNHIurvH2NUbsPYrGQXX1/94EHv36hGdMLK5hzr+JYmwE9nSY0mJT4m3dHOI+HsurlR2Zw9VwrKDNXTPJty0vtA8dicVTIJLA7AzjTVZP1gD/nDkKAnWUHLiZc/X69RobGGhXe+OABwpEYTDo57wrDkRkvhqeRVtelEhHOdlWz5zgeT+BoaxWuD7o432N4+uDVmdTtkpkJx050GPFPn05lleHPn7Sgf3yR8/3G7MvYiCa3bKeWebVSyvs3Dg/3NS0FzCq35tpKjDuWEY7EUF+twjufTGadt++82JX2t0y27feu2bOSQRg0Mri8a+wOrdQQRmP2ZbQ3aCEQCg5ceT0IpFIxHC7uOuFwBSGVihGNbuT5qEofDcZtUzyeQKtFhV9et7OzgNcHnWi1aFBnVPJ2cG4Ou6CplOLBrB9mo4Iz2xhfppnUZdpco9ECAfDdl7vTZiG2k+qbL5aFc3ENqopkCuPVUASNzZWcx11nTA/6nNkAbxZ3huyeIbsPP3x7EAB4s9qZjQoIBAIY1eX5PjxCCDkwmC19nO2wQYFbI+60nzH38yfq1GiqUeHJTiOuDnDfn0fty3AuraYFjW9v0HB+VmbCJLNRgXgsgTKxKC2Ltt0dRN+IC4v+MO+qh8MtOkSjcbQ3qGE2KGDQyvDzjIG72yNuvPJS96Yr9Mneyux72Zp0OVdQppY9vv5iPJ6AtV6FwFoUkVgc0wsrOHXIhJ99OJ7V933uTAM2NmIlf625+v1jD7fwMt/ZtxLm7XPV6rnreplYlHaODzVp2cn7TBYjd3KV/Sx1AJnZ/p5MOCaDmyPBQjiSXKFoMSm31A4yf78WikCvkXH+TWuduuTPO7M4AwCm5v288cQz4zha9ApUqaSYca6wW4OFQgFa69SIxhNwuII42qpHS50aP/3wQVb9P01J4fad1dUN1Fdz16+GmkqsrtJA3E7QYNwOpK46Y2aWVRVlWFnd4GzkEkjgaKse84urCG1E0VxbiVvD7i1lmhEKBegbcaFCJoHHF2I7AquhCBvLxeEOZmVuAvi3h2a+P198ufE5P37vV20w6SrgXVlnjzPzuBXyMgiFAs6tNAA2zfxKdse1/gUMP7yW4Qh/VrtWiwZqpZSWkBNCyB472qrH1fsLWe1wZUX2djQguWLue79zEtFoHEKhAK/9gnt1WebqtoEpH57s5F4Rr60sT/u3AALcGXPDqJXjC8fNqNMr2BXymkopysSPtuSlrvgfsy+j1aKG3R2ErVGH//nWAO8kYe+gi/d4SiEQeqnj2vFw5e48/uCbR/H373GXqdSyl0tHow7/z8/7ccxqgF4txMQs9wO+27uGZ0/U7c4XKrDMfr9JJ4fH92i3SK4+l1ophVErB5CAyxtKixeX2j+3GJRQVUg536NCJsF7N+ywNWgPVN85c5dP8r8CzHAMBgDAnCeIbz3XlhZ3D8jOgssIb0ThcK/DbFBwnvezXftj290pmxFlEhHG7PzxxLmeFc8cqsGVu/Np8fiuD7rY1XCxWBwPZpd3HHqJlJbycjFM2grO0BRGjRzl5WLKqLoDNBi3A5mrzlpqVWg2q/BeRqwXhsMVTFsa3T++iOfPNWF+MYg59yra6rNXraXOaBp1crRaNKhSl2PWGYBOJYN/NYw59yo6W3Q41FSVc+Zms9/lmr02aWQwaWohFArwk4/Gs5bpl5eJgUQCM64A71YaaqT33t3JJdwYcmHe8yh2xvUhJ051mNjrVW9Sor1RixqtnM49IYTkwdDUEk7ZjIjGEnC4g9BrZKgoF2PJzx32wWrRsIMhmwXSHpryJrcHRqK4PuTEwtIqvnKhBQ53ADPOIJ4wq1ClkeFavxOHW/VoqqmESChAb78TTx0zo8dmZCdlmBXymSt8uLY0fnJ3Hl+50MxOEnJhkkVtdYU+2V1cOx5C4SjujXl4V1Cmlr1kH9SFEbsvKxvl4OQSjlkN7I6P1MHbVA73KudEcSnK7PfbGrUIbcTSziOzlVIgwMNsqsl+O/MaU5UC3e1GeHwhXO1fQFu9JmsrMZDg7Gcv+UO4dMuBtz+ZOlCT2Vy7fJgVw3aOUCxWiwYCAF+50IyJuRUsLK6i3qSEUSdnM96mnnOjVo5KhRSXbzvStsHqNTI8UaeGZR9MWvcOOnHl7jyUcgnaG7Rb2pmV+gx6ymZClVqGWyNuJBLJ2Hpnumo2rf8UjmD/iUbjuDXixvPnmjDnCTwMTaFHrV6Z/PmT9YU+xJJEg3E7xLXqbNoZ2NLS6FA4iql5P0LhKP6v382eheSa0ZRKRA9nNsRZWVsHxpewEYmi1axOS0291QZwK/Hl4vEETncY8errtwCAzWgEAK+81M27lWZibiVrtgmgRno33RpfxA/eSs+aKpWIcKrDxC7rv9BtRrNZBYOqnFbEEUJIHgiFAgxPL2PGuYKnH2YPZbb7nOmq4VyJkXrfFQoFvKvLysvEONFhxPWUey+T0e5UpwmHW3S4dNvBJlCYdq7g3piHzWSaGVpihGNVNQDeLY0TcytYDUVQa8kddmMrK/TJ7sq142FwyotvPdeWs883MOPD99+8z5uNcmJuhU00kGt7ZnvD/tqOnFmW7e4gPrv3aNUQk+zsuy93o96oxIwrgD/7u1vZfTObEWe7qnG6I3uF6OkOE2c/+3i7kX2fgzaZzdWG8D232Jq07DlndhLdfeBBV0KfjK2dERfxZLsBo7PLkIiEbH+Z2YbMl8CklKS2BYG1CCRiEe99J7Vccz2D/h+/eRw//KfhtKQtuep/5mAzKX1CoQDH2vQccQc9eP5cI2VT3aGiGoyzWq0qAH8PoBJAGYD/ODo62lvYo8otLftMhxGXUwbKAP6l0R5fCKdsJs7tAHwx3DYicURjcd74Me98OoV//UInBieXthWfzWJQ4DsvduHGkAt2ZwAWkxInO7JnrzNnqJ46pkePzZgzUPPC0mraVhoGxYzZHfenvWkPY4zUjHkAYDEpIZOKaSCOEELyJHVl28iMD10tVdBrZPD4QtiIRPH8uSZMzfvh8YXQ0ajF6Yf33cxYX995sQtDU16MzCRX4m/E4hAKBIjFuTMAxmJxuH2hLWcyzVyBx6zwkUn5tzUtLK2iQibh3ZrHlSyK5MdmOx4seu4+HwBcujuH4Wlfzh0NqYkGcm3P5Bps2g8ebSvljs1cp0/Gd+ObpF5dj0JbKeXsmzPveW3IhaEpb1rWT8ZBncxO/b585/7a0KNznhpKaH0juXUukUiguVaFxupKnO2qRr1Rib99d5RzNeK1ASeePW4u6fPM17avb0ThWQ6hvV4LW5MW14ac+Jt3R9DZpMFaOMZZbq/cnUdnkwbhSJRdEX0Q6/9BFo8n4PGFOMuHxxcq6bpSSEU1GAfgPwL4cHR09L9ZrVYrgB8DOFbgY9oyZlDryp05uH0hGDQy1JmUeOvKZNZrDRoZOhsfzbqkjibzzWhuRONYXObeEuLxhVAhk+DKnTn0P5x5Z+Ozvdydc6m13R3E99+8DyA5E9c35ELfkItzKTwzQyUWC7e0labVrMb1IWfazyhmzO5wLAYxObcCN882IY8vhGdO1iEei0NWJkYHZU4lhJC8YlZwLPnX4VkOYWBiCZpKKe6PL6Fv2A2pRIRfPdeEL51Mxtbiy27+ysvd+MbTLYjHExiY8eGtK5OI8MT2mnUFYdLJOX/H9yCfutKECZauU0lxtNXAHdj84b09M8tha50aZ7uq0WDaH9sTS1WuHQ98fb4zXdUQCgW8fQqm7HQ2aTE5v8KWi8wyYNTKcO5I7YFYvZW5aiv1v3x9eY8vhAS4d7AIhQL2Pd+Tl+HtlBUojIM8mZ0eYy/9eUQoFPAuDGBibDo8QfxvXz0MbUUZ+16ZyTmY1ctfPFW/L84zV9uulEvwykvHEYnG0lZvJhL833fMsYx/82uduHJ3Pm1F9EGu/weNUCjA1Hz2sz4ATM2v0Mq4HSq2wbi/ABB++P9iAOsFPJYd6azXQCWXYGDKh7sPPGgtE0MiEiIcz5gxOFTNBk2+cn8B47PLMFVVoLVOhZY6FefAVplYyJvxh9kKWyYWpa1EC0dieO+aHVUqKU60ccdq+SQluHTqCjauGXS+zKh8Hb+zXdU421VNMWN2mWMxiKWVMAYnl3jLhNmgQKVcAoNajsNN2gIcJSGEHGypKzgEQgGApayV4raGRxNzn2QkewDS7+Mn240YnFxCJBqDqYp7i2h1VQU0yjLO4+HbOpS50qSpthLaShmCaxHewOap93ZboxZf+VwzItEYrg4kV1lQ9vTC4Vs5ZDEo8Malcc4+H/OgxdenaDGr8dPL4xiaWsaF7lp20CL1Af+bX7Citkp+4FbhpyYwazarUFslR62+gjfeY3lZ+uMX07ces/vRc8gIpzfEGYvroE5mcz17AEj72ZOdJrTVa3jP+cDEEk4/3PbvC4Qx6w6gvV4DW5MuKynffjrPfG2BSSNLawuSEvz3FV0Faqsq8IffOIqR2WWq/wdQPJ6AqaqCt9+xHwavC6Fgg3FWq/V3APxBxo9/a3R0tM9qtZqQ3K76HzZ7H41GDjFP8MhMer1y28e5E3q9Esc6qvHyw3+bjUp81GeH2xeCqUqOcokIP3x7EPKvHcFf/uRO2r7re2MevHC+ibPzWyYRQiwWcv6O2QqbGZ8OABYWVzHjXMHFPge+9+0edDTq2N9NzPngC4R547qlnrOhqSXOGfvvfbsH3bZqfO/bPfj4tgNDU150NGrxuWNm9rO6bVvLSJSva1Ro2ym3mXrvLyCwFsa9B4uoUssgFnGXiSOtelRWSHHmcM1uHXZB7LcyUerf53HKLp9SPye7pdjPQ7EfXy6F7Cvo9Ur2Hnih28x7n3ww68ODWZ5toQ/v4/0TXkgkQsjLxWipVeHemCer7a/RV8DPcV+XSkSAQIA3r0ymfW7mcfYNOfEXP76NwFqEzaYa3ojCs7wOWxP/vX1oagn/52s3OPsImZ+11fNGdt7mppa7VCM8W4+n5legU5XzxpWKxuK42OcAAMy8u4LzR2ohkQjxwL6cVZYLoVDlhatvLJWI8MLnmiEdcWdnRi0Xo86khE6XHLAYnl7CTz58AHm5GE21lfjZpQmEI7H0uudfh60IzvF27FZfge/Z45TNiCt359N+9h++eRSXb2eHC6pSlePs4RqYDQr85IOxtDibV+7O499/4ygGJhY52+V82Ouyu9W2wOUNobvdyFn/LUYlvvejmzhlM+K93mmcP1oL38o6uxPs6RMWnDtSu6ffIx82K7cH/b5kNihwbyy7fJgNCmg0FQU8suKwk/JRsMG40dHRHwL4YebPrVbrIQA/AfC/j46OfrzZ+/h8a5u9BEDy5Hg83Kmw99q9MTf6H25NuTe2yAYWvXp/nnMGfGLOj6898wTcvhCbrXUjFkc8noBBK0tmZosn4HAF2Rm23oEF3vh0zABdOBLDpZuzCK1t4NqQE4AQgbUwFv2htLgUzMi21aJJO2cf9dk5j/ejvlnoFWXQK8rw4vkmCJ9qZt9jO+e8kNco0143tlstt5nuTCzh7gMPZhYCMFVVoKNBg59mZLk1aGQ41FIFk6Yc5ipF0ZzTnSimMrEb9vr75KOTsNOyy2e/XePHUcznYS+vUzGV2z2voznukx/emOFdlWTQyDAw5cWTh0ywGJUYtS/j6v0FPHemAS7vGtsfqCgXQyBIhrU40WHEejgZG0ivlkFaJsb712cQjyfwYd8sb1bGj27OsvHmmFUPUokIXzhpwa+fa0w75rS/4+kjXLqZ7CNs6zyVSLtQTGV3q9osaswsZK8eUiulKC8ToW/YndWn6GjS4u//eZR9bTyewOXbDnz5yQb86W+d2FGfbzcVsrzwlfupuWW88LkmzLmDmHUFUV1VgRp9Bbz+EJ6oUaaBqOMAACAASURBVMHjCcDuDmJoxodKhRTOxWQcxl8914T/dWUC0WicrXupW9l343uWUrnlO7+r69G0QaNwJIZ7Y55kuKC7c3B7Q6ivVqC9XoeBqSU4XEGENqL45rNW/H8fjGJjI/l3TJbhr19oxk6fXx5HIctuZlvAxP46ZTNidf1RDL2KcjEWllYx6wxAVVEGf3ADH9x4tLW3f2IJOpUMbbWVALaXRHC7Cvl8Vir3pb0kEQEvnG+Cwx2Ewx2E2aCA2aCAQJg48OcmV/nIVW6Lapuq1WrtAPBTAF8fHR29V+jj2Q1M3IjU5c9AMk4HV1puIBnbYBhe/P6vHwIANrtN34gb8541XBtYQLlUjGeO12FpOYRZVwBPHqrGqQ4j/u+f96e9V/YAnQCvvn4Lx9uNuDnsysrCxmQaSv5/elY3vvgXmTFoaJnq3hiY8eF//uMA50pKhyeI5UAYrRY14vEE6g0KmKtomTghhBQjrlhRA5M+mA0KzlUJmspydFsNqFLJ8OP3H63smHauQCmX4Es9DfD41tHeqMH98UXYXQG0mtV49oQZ/ZNevP3JVNp7ciVzEAoFEAoFnH2TcCSG++OL+NqFZs7EU7n6CENTXrwnl8DWoKUtq0WAL6xIRbkYfcNu/EpPPezOANunkIiFuHJ7nrNv1z+5hDOHqmHSyPL5FYpGrnLv8oYw51nFE3UaHGqpgj8YhlwqxpFjZjZMzUe3Hbg+6Err10klIvza+Wa8+dEDAMm61zfswpdPWw5c/3qz2HtMWB5mUGhizo9vPN3ChguqVJThR+8Op53fW8Nu/KtnrfjbXwyx73VQk2JwtQW3Rtz48plGOFwBVKllqCiXIBZPoHdgAYaHCYgYqc+2o3YfnL4QPr47t60kgqR0yOVlUCnK8aNfDANIjmXcGnHj1ogbv/nldsjlZVhb2yjwUZYeYaEPIMOrAMoB/KXVar1stVrfKvQBPS4muUEm30oYtQbu5Zx6jQxGrRzxeCItUOmZQ9WY9wQBAOvhKH7x2RTujHmwEY3B5V3DoUYt/ug3juGLp+phMSnR3WbA8XYjm4VJKhFhZTUZko9JS50qHIkhGovj/JFafPWZlrSkD3zfAzjYwWTz6caQi3clZblEDJ2qHJFoHOcP19DNjxBCSghzj+0dWMDxdiO62wywGJP38efONODGkBMCAA53MOs+EFiLYGFxDUACP3x7EH1DLmxEYrg+5IRYJMKNIXfW3wCPHkDt7iDeuDSOP3mtD2989AAN1dwzuBaTknMgLvX4ueg1Mrz9yRReff0W7O7gts4L2X0WgwKvvNyNL56qR0N1Jc4ersGJDiPiCeBMVzVuDbsxMLGE1fUIPrk7j49uOqBTl3O+l14tw6uv3zyw13Wzcr/kX8cn9+agUZaholyCT+8v4OqAE7OeIPpGXFhd5+6Lz3uCUMol7M8Oaj97s/PrD27gTFcNOpt1KBOLYNDIMe0MoE6vwJdO1mF42st5fsdmfdCppOzPDur5ZeLJMW3BucM1+PKZRsws+OFZDqGxRok5TxCf3U8OxvtWwtDzDLy31Krw6us38cvrdsw4V/DL63Zq8/eZ9fUIBiaTO+2YgVjm/wcml7C+Htn8TUiWoloZNzo6+kKhj2EvcM08AECtXgmpJDveS0W5GCfaDGmvtbuD+POf3EGrRZO2hYWpDIdb9IjHE2x2IaevBq++fpPdagIARq0cDncQmkpp2sxGqoXFVZh0cnTUpwf8t7uD0KnKOWfs90uQ02I2613LuZKSSYDU2VxFA3GEEFKCmL4CszpdUynFmN2H8jIxZFIxpGUi3phyM84VnDlckxWY/7P+Bd5s51aLBjOuQFY8pvNHajjv9Sc7ct/r+VZcpa7O50oMRfInNRB+Z5MGv/erNgzPePEPHyYDuSvlErQ3aGF3BdJ2c5SXiXnjFQfWIgf6um5W7s8fqcFPP3wUKH9mYQXD0z7oM1YZpXK4g2iorkT/xNKB72fnWsl5zGpI3+XjCuDmsAuvvNSNFrMKDhf3QJDDFURnUxU+vjN34M9vakbggRkf/uofkhvTNJVSvH/djlbLowRD4UiMty0waGVpz5zM6w9y27DfiMXCnHVKLBay27/J1hXVYNx+xcxCvnfNjoXFVTbO2z9emcCpDhOisTgWllZRratAc60KrWZVVsPVO+hEYC3C2whm3khqdHKc6aqFZ3mN3fOvkJUhGNrAwMQSOpt1vFlZtUpp2pYDuzuIV1+/hUgsnpa+urVOjbNd1dTI7rFZTxAf9DlgNnBnONJrZFDKy9DZrMOx5tII7EsIISQdV9Y7W5MWQ1NeKGRliCcSqDVwZzKrMyrwi6tTWT8fnPLiW8+1cT7M9tiMuDrgzJoo/PT+Ar72zBOYcwcx4wzAYlLiZIcRnfWazLfnPP5rQy4MTXnTYtoyDup2sGLA9OVSB14v9jnw9PG6tBhxtQYFpA8W08rF7VE3vvNiFz67v5DWj2Wu7UG+rpn1tqVWBYNWjmsDTnz5yQasb8Sy6pjLu4amWhUAcNdnkxK+lXV88VQ9mwX3oOLLBioQAB/cdHCufGMGgMxG7n6z2aiALxCm85ti2hnA99+8n9YWmC0KdDZXsXHHAaB3YAFnu6pRJhZhfM6fvB6dRvzo3VHO9z3IbcN+E48nctYpusY7Q4NxeWLRK1ClkmLGuZLWqH12fx5ffrIB/+YFGwDueGupMRN6BxbSBsSqqyrwpdOWtC2lzPskEnEMPEwcwXzmma5kZk2+Qb2KcjFOP0wZzugddKYdLzNjLy0TsbMpVAH3hlAowPCMD3ZXACdtJt5r9tSRGnTbqg988ExCCCllqasUmPtqZ70G792ww+VdQ51BidscK+qtFg0+u7+Q9X5WiwYWPffDbINJib95dyTrb+LxBK4NOPGnv3UCQqGAd2tqruN/Ty7JilPHHA/1Fwqjb8QFTaUUvpVwWtD7wNoGbg67ACRXw/xz7wyOtycHOxzuIFteLAYFRme8Wf1YgK4rV7199rgZAPAnr/VlvT4ciaFcKkY8Hufs153qMKKrUXugz2kqrvMrFAowy7NKhxkAOt5mxK3h7Iy2x6wGHH+iis5vit5BJ0LhKG4Ou2DUygEk0D+xBIEAjxI6LIfQXq9l24PU69FqUWFqwZ/1vge9bdhP4vEE2iwazjrVRtd5x2gwLo9OtBlxsS875faJNkPOAszETJhxrqRlNtNUSlGlKs8aiGMwS7tTtxows5tDU15cOF6H4NoG7K4AanQVaOJYlccVPDUcicHtCyGWAN64NIGRGR8F6txlqVtJTDo5utsNePvTSbxwrglO7xpmFlZQXVWB+molqrVyOu+EELKPpPYJhEIBbgy5MesO4Ozhanzz2VaM2ZfhcAdRZ1TgqNWAKqU056p5rofZ1L5FJuYBaqeda1uDFm9/kr5S76BvByskuycIjz+MMrEInc06dlVbPJ7ArCsIo1aetjX15rAL3325G8c60if5+PqxdF2TUusL8/98dQyJBJ4+ZkaNXoGp+RUsLK6isaYS3W0GdNbTgy2XzPO7Wfv1hVP1iCcSuD3qhsMVhNmowDGrAceadXR+UwiFAozZ/TjTVcMu9tBr5KgzVmLOHcR6JIrVUASvvHQ8bedU6jnk205MbcP+MjLrxUvPtWPoYYZis1GBjkYdhqcXcb6rutCHV5JoMC6P+JZab2UgJbORC0di8K2Es2LLbfXzOus1bKdcKBQA4F6Vx3ez6+msxqWbs2nbHS7fnsMrL3XTwNBj4tpKIpWIcNpmxE8/egClXIIn6tTwB8OoqTKhq0G7yTsSQsgjv/1fP9r237zz5/sypGtJSL0Px2LAzy6Nw6CRoUotw/3xRdwcduOVl7q31L/IvM/v1QPU4/R3yO7K7FMwGTt7Oqvx2f15tNVr8GSnEVcH0q9VHcdEL13X7eOrY6c7jI8GyU8Itr0KlWyt/Tr2MIRLWZmI4lnxiMcT6DlkxM8uTWS1E//ibCPWw1GcaDPkzJpMbcP+F48n0FanxevvDkMhF6OzqQoDk4u4NezGb3zRSgPcO0SDcXnGNTu91b/LbOSePlEHvaJsx5+XOjueS+bNTioRIcyTjZUCdT6+1G3BjHAkhmg8gdM2E+YXVyEUCPDckw2bxvAhhBBS+npsJlztX8D6RhSBtcjDQNmPJsl6B134+oVmWAwK6PXKLYcs2MsHqJ32d8ju4utTrG9EoZRL2IG3r1/Y2rWi67o9W6ljj7MK9SDbTvtFA3G5ubwhznZiZXUD33y6ZUvvQW3D/jfjDCQzqPpj+PjOHPtzuzMAdJpy/CXhQ4NxBbKTRiqzkdtOh/txGsXMm92JdiOuDzk5X0uBOh8P17ZghsMdRE1VBU7ZTOhs1HDOWhNCCNl/kvfh4/jrfxzg/P3j3Hv3+gGK+gOFk6tP4VkO5dx2thm6rlvH1LHt9NvJ1tAA0OMTCgUYd2THewOAB7PL2z63dB32p1zlZHzOT3Vwh2gwrgQVoqBn3uxWVsPJUfAMFKjz8eSKgdFer8U3n2mh80v2rZ1sn3ztPz29B0dCSPExaWRob9BwZjLbjXsv3Vv2n836FLm2nRFSSqj92rlc7UQHJRIhD20lTiPZPhqMI9vCVDQK1Ll3cp1baugISUcDeOQgoXsv2S4qM4SQzfC1E587Zi7gUZFiQ/eT3UeDcWRHKFDn3qFzSwghhAvdH8h2UZkhhGyGr53oaNTR1mrCovvJ7qPBOLJjFKdh79C5JaVuJyvW8qWYj2279tN3IVtD9weyXVRmCCGboXaCbAXFwNxdwkIfACl91GDvHTq3hBBCuND9gWwXlRlCyGaonSAkf2hlHCGEEFIEinmV2/N/+Na2/4Zi8xFCCCGEEMKNVsYRQgghhBBCCCGEEJInNBhHCCGEEEIIIYQQQkie0GAcIYQQQgghhBBCCCF5QoNxhBBCCCGEEEIIIYTkiSCRoIwphBBCCCGEEEIIIYTkA62MI4QQQgghhBBCCCEkT2gwjhBCCCGEEEIIIYSQPKHBOEIIIYQQQgghhBBC8oQG4wghhBBCCCGEEEIIyRMajCOEEEIIIYQQQgghJE9oMI4QQgghhBBCCCGEkDyhwThCCCGEEEIIIYQQQvKEBuMIIYQQQgghhBBCCMkTGowjhBBCCCGEEEIIISRPaDCOEEIIIYQQQgghhJA8ocE4QgghhBBCCCGEEELyhAbjCCGEEEIIIYQQQgjJExqMI4QQQgghhBBCCCEkT2gwjhBCCCGEEEIIIYSQPKHBOEIIIYQQQgghhBBC8oQG4wghhBBCCCGEEEIIyRMajCOEEEIIIYQQQgghJE9oMI4QQgghhBBCCCGEkDyhwThCCCGEEEIIIYQQQvJEXOgDeFweTyCxlddpNHL4fGt7fTh5td++UzF9H71eKdjL999qud2OYjp/u2W/fae9/j57XW6B3S+7++0aA/SdtquYyu1+uHb0HfKnmMruXiiV60DHuT37vdwyiuV851Lsx1hsx1fI57NiOxeFRucjXa7zkavcHpiVcWKxqNCHsOv223fab98n3/bj+dtv32m/fZ/dsB/PCX2n0rUfvid9B7JbSuU60HESLqVwvov9GIv9+PKJzkU6Oh/pdno+DsxgHCGEEEIIIYQQQgghhUaDcYQQQgghhBBCCCGE5AkNxhFCCCGEEEIIIYQQkic0GEcIIYQQQgghhBBCSJ4c6ME4oXDPkwkRQkoEtQekFFG5JYSQnaH2k5DiQHWRHFTiQh9AIdjdQfQOOjEys4y2ejV6bCZYDIpCHxYhpACoPSCliMotIYTsDLWfhBQHqoulh71m9mW0WeiaPa4DNxhndwfx6uu3EI7EAAAzzhVcvj2HV17qpoJEyAFD7QEpRVRuCSFkZ6j9JKQ4UF0sPVnXbIGu2eM6cNtUewedbAFihCMx9A66CnREhJBCofaAlCIqt4QQsjPUfhJSHKgulh66ZrvvQA3GCYUCjMwsc/5u1O6j/eqEHCDUHpBSROWWEEJ2htpPQooD1cXSQ9dsbxyowbh4PIG2ejXn76wWDeLxRJ6PiBBSKNQekFJE5ZYQQnaG2k9CigPVxdJD12xvHKjBOADosZkglYjSfiaViNBjMxboiAghhULtASlFVG4JIWRnqP0kpDhQXSw9dM1234FL4GAxKPDKS93oHXRh1O6D1aJBj81IQQcJOYCoPSCliMotIYTsDLWfhBQHqoulh67Z7jtwg3FAsiBZDAoIhQJaUknIAUftASlFVG4JIWRnqP0kpDhQXSw9zDXT65XweAKFPpySV5SDcVar9Q4A/8N/To2Ojv7WXnwOVXpCCIPaA1KKqNwSQsjOUPtJSHGgukgOqqIbjLNareUAMDo6+tRuvzeNuhOyf1H9JqWIyi0hhGwdtZn7C11PQshBVnSDcQAOA5Bbrdb3kTy+746Ojl57nDe0u4N488okBie9aKtXo8dmor3NhOwTdncQvYNOjMwsU/0mJYPKLSGEbB21mfsLXU9CShNbd+3LaLNQ3X1cgkSiuGYjrFbrIQCnAfwAwBMA3gNgHR0djXK9PhqNJcRiEdevAABDU0v4z/+jF+FIjP2ZVCLC977dg45G3a4eO9lXBHv55puVW7I1VL+z7Gm5Bajs7gYqt1mo3JJSRWU3D6jN3HUFLbd0PcljoOezAqK6u2O85bYYV8aNARgfHR1NABizWq1LAKoBzHK92Odby/lmH/XZ0woMAIQjMfz80jiu3J7FibbSzQCy3wInFtP30euVe/r+m5XbnSim87dbNvtOfPX7o75Z6BVlnH9TyNnYvb5Ge11ugd0vu1Ruk4q53AJ7e52Kqdzuh/JI3yF/iqns7oViuQ6btZlbPc793I5u9zj2Wq5yu5N74E4Uy/nOpdiPcS+O73HqYSGfz4r9WuVDvupuKcpVPnKV22IcjPttAIcA/Fur1VoDoBLAwk7eSCgUYGRmmfN3C4urmHGu4GKfA6+81F2yA3KEHFS56veo3ccZh8TuDuLV12+xN5IZ5wou356jNoDkDZVbQgjZuq20mVtB7Whx2Mk9kOwfVA9Ll1AowPCMj/N3IzNUd3dKWOgD4PBDAGqr1fopgDcA/DbfFtXNxOMJtNWrIZWIYNLJIZU8Wnaq18jgWwkjHImhd9C1O0dOCMkLpsFvq1dz/t5q0XDeEHoHnZwzOtQGkHygcksIIduz3TaTb3CO2tHisJN7INk/egedAJD2XE71sDTE4wnUGZIrvDLHVuqMCqq7O1R0K+NGR0c3APyr3Xo/W5MOi/51eHwhdDbrUF4mxu1RN8rLxOxNmWZiCCkOm9XDzKXttiYdrtydRyj8aLxeKhGhx2bkfG+ajSV7gcotIYTsnR6bCZdvz2XFKerpfNRm5tr6Ru1oceG9nhz3QLJ/CIUCCARCdDbr0p7LewcWqB6WAKFQgMqKMpw/UoPV9Sh7DSvKxaiQl9H126GiG4zbTXZ3EN9/8z7b2NtdAUglIjx/rgk/vzzOvo5mYggprK3Ej+Bb2v6dF7swOOnFqN0Hq0WDHht3HEhmNnbGuZL1O2oDyE5QuSWEkL1nMSjwykvd6B10YdTuQ0utCgatDD96dxStFhUOtxrwlz+5w7v1jdrR4pJ5PXPdA8n+Me0M4NKt2azn8p7OaihkEqqHRS4eT0CjLMNHN7Ov4VcutND126F9PRj3yf0FziXpU/N+SERChOMxmokhpMByxY9IDXjJt8VkcNKLr19o3tKMDM3Gkt1C5ZYQQvLHYlDAYlDA6Qvh1ddvIrAWAQDMLwax5F/n3YLKDPBQO1pcmOtJq2kODr7n8vBGFM+eMBfoqMh2OJfWOK+h07taoCMqfft2ME4oFODBLPeSdI8vhEPNOuhUMpqJIaTAcsVx6bZVA9i9LSY0G0t2C5VbQgjJv4/vzrEDcQCgqZTC7Qtxvja1naV2tDjRQNzBkOu53L0cQr1RSWWhyAmFAow7/Jy/G3f4aWB9h/btYBwAmKoqYHdlp5it0Vfg3/5aJ6LReAGOihDC2GywgrGbW0xoNpY8Liq3hBCSf1xtr28ljM5mHWd/P7OdpXaUkMLhey6v1lUU4GjITtA13H3FmE11V8TjCbTUVqZlUAWSS9KbalQ0EEdIEYjHE+hs0mRlOwaSnehUPTYTZ33e6RYT6oiTnaJySwgh+cdMcKRm8gtHYigvE2+rnaV2lJD8iscTaK1TcdbT5loV1ckSkGtsha7hzu3rlXGtZjVeON8EhzsIhzuIhupKtNSpUG+kJemE7LXUmWe+WWi7O4jQRhxlYlFaViWJSJjVid7pFhOaASfbkVleuMpPPsot32cTQshBIhYL0ybQbU06LPrX07Ix3n3g4U2KQ+1o6ci81mT/sLuD8CyH8ML5JjiX1jC9sAK9RoaKcjFazapCHx7ZImZsxbm0hmAoAoVMApNOTtfwMezrwTgAeOvKJIRCAc4eroF3ZR0Xb8yioVoJs0GBVrOaYkUQsstSM0w2m1UwaWXo7Xeh1aJis00KhQJMOwNpAfCZjDzf+HwrWs0qzrppMSjQYEoGx9+sc72VTJeEMDLLi61Jh6GpJQxPp5cfuye4p+WW61io7BJCDpqBGR+uD7ow6wqgzqjEKZsRlTIJvv/m/az2999/4yjaaivRWa9hB9/s/z97bxrc2Hnee/5xsBEgABIEsZEguDbRJCFK3WQv7EVSS/ImWbIdyZYdj5zr5PrecalqMreSKY/unbnOZFJXSdVkaqoyuU5ubpzEGpctb7Gl2IqspVu9N9k7QbLB5gqCxEYAJBaC2A7mA3gOAZwDEGSTTZD9/j51gwfAi3P+5znv+7zP4o3g7bMTxI7uAXKvdbNRiaNdevQ0qzd+I2FP4PBG8PFNJ6KrKYxNB6FVy9DdWgedWoY2o4rcl3sMtz+K6GoKi0sxCATZ/3eT+3XL7GtnHFNg+2RvA87fmuc8vI/16PHMYRMxAgTCNsHXYVIqFqK/S4/3rzlw7uY8Xj7TjsFRLwwaOW8BfP/yKsyHG3k/u1wHRalOl+R+JxRSTC/9XXrMukPs/7/ybAfG55Z3TLelxkK0SyAQHhVss0GO0+36mAcvnm7jtb+2yUUcbFQBAOuII3Z0b8B3rQdHPPjWF6043K7Z5dERtoNx5xKujXg46/CXz3SQ+3GPcc/Bfy0btApyLbfIvq0Zly3yGoRULMRqIsX78F5ZTWHonneXRkgg7D+KdZhcTaTY2i52xxISyTQcbm4BUGC9+xkDRQkwtxaN9P41B2bdIbx/zYE337oBhzeyqXFcGfE84C8k7Ec20i3zf5d/Ba5F/vbt26HbUmMh2iUQCI8Kg6MeXjs4t7bwK2RkOpBnf4kd3TsUu9ZXh12Y8xV/VhL2BhQlwOR8iPcaT84v5923hMqGogSYdvFfy+mFELmWW2TfOuNoOoNmgxJqlRS+Ii3PvcEYPIEVVjxERATC1inVYdIXjEGtkrL/BjLQqmW8xzLdzxzeCL738zv47veH8NshJ/q79Hn3aLGJ9UadLsu9z4k9eDQoV7cAML0QgkEj5z32QXW70ViIdgkEwqOASEQV3axzLUbzbDKDoU6On56bgMMb4djR3GYPpewosZsPn8JrnXutvMEYRmeDJd5N2CsU28Qs9jqhMhGJqJLXUiTat26lHWXfpqlSlAAdplrcGveh0azgb8NbXw1tbRVm3GFSn4dAeECYLmez7hDnbya9AjftPgCAVi2DbdKPJr2KjZZjYLqfFUt3HbAacenuAns8M7HOrcNVahyMw6QUpF7Xo0VJ3eoUEIuyiwKazqBWKUWVRLgjut1oLES7BALhUSCVotGkV/LO2016BYYnFvNek4qFEAkp/PryLD4ccuI/fqMPB5trMecNY8BqxGoixTZ74LOjxG7uHqkUjWajEk5fhHOtmg1KrMRTpAHHPqDFyH8/N6/V0iXsDWg6g+Yi17KlQUXu0y2yb51xNJ3BtCuELz3djpXVFGyTfs7iqdmogklbTepKEAjbxECPAeduznPuNRElQJ9Fh+tjHlRJRNnoIJsLA1YjBALA6Y3kdT97++zEhumuAL+DgqIEOGHNjgMA1CopgqH42vjyO10WQurMPJoU061AIMDVNZ0y2r1417W+aFiKoau5blt0C6xr9/KwC9UyMYKhOOLJNOvsKwXRLoFA2C8c69Hj+piHY5MpgQC9HVrWaWPSKSASCnDxrgtA1t5etnkw0GNALJ5iaxtJxUIkUmmMO4J5jXaI3dx9jnXrIQA4dahsk368dLqNLPD3ODPuMIRCincTs0mvJNd3D5FK0ehuqcPgCNc2dzWrSSfkLbJvnXHZHPVlZDKASCjAZweasbi8ijl3GMb6ajRoqyGkgHFHgCMotUqKoXte8iAmEDaJWafAy2faYXcswReMQauWsQ6ME48ZcbLXiHO3sk4ysZDCnCeMf/tiF8y69QdyOWmDbv8Kx0GRu7vd1VKLb33RilvjPsy5w+jv0uPYmsOkFHx1ZgBgZCZI7ME+xqxT4I3X+vDhDScc7jCr2ys2F2g6A4EArHZpOoPrYx6YdAp8+4tW6Guz6dZb1S2wrt1xxzIGHtOjv0uPSecyHu/UoqOxpmiX1lwKtUueZQQCoZIpFfFkbVbj9Vd6MTTqwawnjBajCshkcPGuC2IhBX2dHGIRBbFIiE9uOfPea3cE8bVnOyAWCZFM0zjZ28A67xrNCow7l1mbWKq2HLGbDwdrSx2u5izumWdXMBSHwxMmkXF7nHHnEiIrCZzpMyEUTcDpi0CnlsGsV8LSVLPbwyNsAooSYGTGjxdPt2FhMQKnJwKTXoGGegVGZ/wY6NaTe3UL7FtnHE1n0N2iBp0BliIJiIQU7t73QaeWI5lK48NBBxJJGs+fbAGQFVhuiLRveRUOXwRmLXkYEwjlQlEC2B1LGHcEUS0T50WkOr0R/LuXeiARCyEUChCKJuBwh3Fp2A26B+zEt1SqntmghCewgsc7tGw06+qrHwAAIABJREFUEsDd3TbpFPi7X9rY/3sCK5jzhFHz+S40FbmnC50puTbh2ogboWgi7zsJ+4u2BhX8H68ikUpzIqmLaffcrXk2pWkrugXytXuytwE/PzuZp1v3YnTDCWuudsmzjEAgVDLlpoVam9XQ1lThv787isFRD/oP6vCFJ9sw74vCvRhFg7YaaZrmOGssZjUAYCkSx6leY17ElSewAl8wBou5Bs065YY1OsnC8uHgcIc5z67HD9RDU1MFV2CF3fQi7C0cvgh+fnYSEjGFFmMaC4sRVFdJoJBJcOOeDy+daCH32B6CogRQyqTwBqKgIMCBplrEE2l4A1EoZFJiM7fIvnXGAUB3qwZ//bO7AIDHD2jwmeMtmPeFMe+NwtquQaNWCV8wCqlYiP6u/JB4hyeMO+M+EqpOeKR4EEPKTLB9wRg6zepsZFHQxf7dYlbDoJahu7Uur439rDvMSQspljb4XJ8JLQZuWHvu7nZuB+XCyd1vh5z4VL+J954udKYwqYm5NuHcTSexCRXIduj23uwSTDoF6lRVeboFytfuZnULrGt3q7oF8rXLp1vyLCMQCJVAuWmhjF0emwlCq5bBoKkGAPzm0kyebSusySmTitDTVocffXQfS+E4mxrHsamDWZva1cLdQJGKhTjSRSI8HhY0nUFHUy2a9ErOs0sqFsJYLyfOuD3KpWEXXjzdxq69O81qNGqVcAcisLbVkXtsj5FK0VApxIjGEoglUnB4spkk1VUiqBRikqa6Rfa1M25kKhvdYNDI0WFS4+c59XyyRt6HVz91AJ5AjF0E5RJPpnHxrgu/+9yB3Rg+gfDQ2EoB41wHSOEEu3CSzKTmzfkiOH9rfsO0ECZtcPCeF6PTgbx6cnw14nJ3t3M7KPM5Jq6PeYo6JhhnCoCiNoGkr1QO261bvoYLm9HuZnTLjIXR7oPoFshq9/Kwi+iWQCBULBulhVKUADPuMO984vmTLbzvFQiAA021aGuoQU/b+oaJQSOH0xsBUNymvv5KL87emOc47K6NuhGKxkkzh4fEU08Y8e7FGd7re2d8EWadAk315DrsJShKAG2tnHft/fKZDjzWVrfLIyRsFpGIAp3m1neUioV46XQbRCKKOOS2wL51xuUucpKpNGbcIV4jPzG3jEOd9bg07Ob9nPG5JbiDMRjUZFeGsD8pZ6e60IGR6wA5YTUUnWCnaRovnGjBkYM6mHUKvDfogHfN4VBIYVqIWadAX48Rfn+k5O5ZYURbMBSHtV0DT2BlU44JihKwzpSRmSCujfDbBJK+UhmUG2HBXKvN6FYoFKC7tQ5NOiXrTCtXu+XqFsjX7lZ1y/zGrHb78Te/tG04RgKBQHjYlKqreW82iPcGHbg1vgiDRs5r/xZ8UU4ReCBbRuCv/vgMfL5wXhOdcmzqyFQA/+n3+jA6swRKKMC7F6YQXkkCyKZOkmYOD4dmnRLeJf7nqzcYw90JP3HG7UGKrb1n3CF8ut9E5iN7EIcnzHtN+TqsEsqjIp1xFotFB+AGgE/Z7fZ7W/mM7CJHjVl3CA31Cjg9Ed7jnN4IVhMpaGtlcLi5QtKqZbg07MLLT7ZtZRgEQsVTzCFxbczD/p1xYPS0aQrS9EIYmwkCAv7PXliM4qWTrTCoZaAoAW6NL0KrlvEa7YPN/B0mN3pY53ZPjSfTiCfTaG2oydbLKsN5whdd9bmjTdm6YDzjLNYJk/BwKabbq6NZh1XudT3Za8zbnd1ItzMLIRzrMaCnRc1Ga2xWu+XolqYzeamtm9EtwO8Y72pRE90SCISKo1RdTW1tFd65MA21SgqHm9tECQBci1Ho62RIpGi20zSwXiOu0NkXT6Yhk4qgr5MXtan3ZoNoNigw5QrBvRjFYx31oAQCXB7ONu8hUcUPB5rOoLOplncd1tKggm0qgBdJfbE9hWMxWnzt7YmQzcE9CEUJ4FqM8v7NtRgFRRWZVBNKQu32AAqxWCxiAH8LgP/JuQkGevSQSUXQ1spg0vM/SE06Be7PLaFKIoJULMz7m1QsRJVEhJHpABEYYV9Saqc6kwHefOsG3r/mYKOO+NL0PIEVNOmUvJ+hrZXhzbeuw+HNRgm1N6qK3mvHu/M7TG50zzm8Ebx9dgLf/f4QLtvceP2VXnz2eDMONNXCE4iitaEGjbpq3vcyjgkmuor5je9fc+DNt27A4Y1goEfPO87CTpiEh08p3Y5OB3B+2MVeV7c/CrsjuDndqmV458IUq4XNarcUubp9++wEAOCN1/rwwokWOL3hsnTLfE6hdv/LD26gp01DdEsgECqSgR4Dr32SSkSIJ9MIhuLQ8mSiUJQAx3oM0NXJIREJYW3X4GRvA2RSEWvbGGdfIR2m4jbVpKvGjz4Yx+CIGw5PGJfvujA06sGA1cgew2yCEHaWU71GXm1oaqpw+omGXRoVYatcurNQ9L4zG5QknXEPkkrRaDbyz5tbGlTkmm6RSoyM+78A/A2ANx70g8w6Bb75+W78/Tsj6O/Sc8LbpWIhGrQKXB524YrNhU8fNSMQXoV7cQU6tQxSiQhXbC586oiZeO8J+5JiO9VSsRChaCLvflGrpLxpevFkGkq5hPf+qpKIEF5JsjvLAz0G/MUPb6K/S88WUtapZXjyUGNeZ1Qm2qenrQ5H11JccymVovi7zx3A//7fBzHrDuHJJxp4x8VM3kvVr3n1TDveeK0PV0Y8sDuCefW/CLtLqQiLhvrqvG6oubXYcsnqVlxUt8xrW9KuYwkHzdwadqV0++Wn2/Hd7w+VpdvsuPi1OzodILolEAgVCVMK4sqIB/dmgzBo5FArpfjtoANA1oYxmx659u1UrxHvXJji1Cn61hetuDrqxj+8dw8HzdnofSbSWCoWIhZP4eIdb1Gbqq+Ts2mpDPFkGvFEij2eRBU/HMxaBV483YqFtYgqrVqGKokIvzo/BbGQQq1Cgu61KEhCZSMSURibCeJojwFSsY9z3x3vMezi6AhbhaKyHVQHc2rGAdlr2mGqIdGOW6SinHEWi+XfAPDZ7fb3LRZLWc44tVoOkUjI+7exGT8GR7MLlis2V14nJZNeAZNOiV+cy0Ym0HQGvqUYxh1BHGhSwxtcgcMTgVQsxDNHmqDV8nuCd5tKHddW2W+/pxildPsgbOX8PXPEzOkAqa9bL3zMwNRf4UuBC6/E8e2XH8PVYTcWFqPsJOqKLduV0u4IQqtVQqtV4k++dRyf3HTCO7eCE71GHD6oQ1eLBgAwOu3nOCs+GprDn/77AXS3atjv+9n5KV5HxOA9L/p6jOhpq8OsO4SLd/Pv+2aDEp8/3cZ+1j0Hf3RV7nj7eoy8x2yVva7xndDudulWKhZCUyvD8MQi+1pp3Sbwpafa4Q+vwr7WtS9Xt8ADaNeVdbTlane7dAsU1+692SBe//IT265bYG9rdzO63cu/k4H8hv3DTs0XymW7rwPzXP3hv47h15em0Vng7GLm65lMBvOLUTzeocFKPM1flmDYheG1zZdZVwjnby/gD796CLbJRXgDK+wGYqFNNekV0KnluHnPxztGbzAGtUqKYCi+7WuAR0XXW9HtLbsP2loZEql03qZanE7j5rgPT/WZNz2OvXC+K32Mmx3f5HwQhvpq/PL8JL74ZDsWfBE4vRGYdAocaKrFU31NOzTSB2cj3Vb6tdpp7LNB9HfpEU+k4F3blJZKRLA7gvjS06Th5Vb0UVHOOAC/DyBjsVieA/AEgB9YLJaX7HY7fyV1AMHgStEPGxpxwxvIPohpOsN2dVSrpPD4VzA1v8yGVDLREIkkjcb6aqysJnGsx4DPHTdDq5DA58su5CrJ66vVKtlx7Qcq6ffstLEtpdutstXzp1VI8MZrfbg66sHodABatQwKmQSRWH7NtGI71tm0AgG+9/NhfOXZDsy4Q3mTKCCbXseMTauQ4JUn2/LuJeZv52/OsRNgdhKWTOPjoTloFRIA2XtwZCrA+1tGpwPw+yM4elCHj4bmEE+m2fteXyfHc/2mvPv5oLkWsy5udFXueMu558u1Czut8YcxSdhu7W6nbqskInx0fQ69Oc63jXT7z59M4qufOoDaagneuTDNWfCVq93ro9zHVK52t1O3wMba3U7dAjur3UrSbSU9h7YK+Q0Pj0rS7k6wU9eBogS4MuxGeCXJsc80ncH1MQ+OW4042qXHC8fN+O73h3g/xxuMQV8nZ+19LJ7CnXEfvvZsBwDgRx/dh8MTZtcATx0ywReM4caYFwBgbddgJifCmlkjmPVKpNI0nuisgl4lLashTzlUiq4rVbcHW+owPLEIt5/73gnnMoLB6KZS4SrlfJei0se4lfFdvetCq1EF92IU716YgkRMocWogt0RgLG++oHup91cn1X6tdppJBIh5rwRONxh1lYymyFmgxLLyytIJPhrfj4KlNJHKd1WlDPObrc/yfzbYrGcA/A/lnLElYKiBLhz3w+TXsFxKLj92agGkZCCRCSEVi2DTJo9FdZ2De5MZLs5HWiqgVnLTZ1jiryTtB/CfsGsU2Q7RsrFrEPiZC83reOm3YsvPNkGpze7y5UbSUTTGbj8K4jGkiXT6xgKH8QOXwS+5ThbDyb3c5maLTPuMIbueaDXyHlTFJl0ktxUmNxUvSZt/j2bWzw/b7xWfVn3PLELuwufbgGgSiLM0+4Vmwuneo3IQIBZV4ij23uzS3h+wIx3LkznfX452s1qwIOxmQBHt0A2ss4djOHS8MK26Rbg165MKkJPWx3ePjtBdEsgECqW3FIDnMwVnQIioQAX7szDrFfihePmomUJjPXVEABo0itZuzs2G8Bf/WIY9TVVnLTVwk1GxhGYTNN5Y8ggu/DUqKT40Uf3ia18SHS3qOH2R3kj2U1aRcUEQxCKQ1ECyOVi2GeCAIC+Lh1Ucgn8yzH0tGpQJRGS67hHoekMmg1KONxh1p/C0GpUkeu6RSrKGbed0HQGhw9qseCL8EZECCDA4KgHz/Y3wb8Ug0Imxtkbzrx6FHfuL6KjoQYAitb5IQ9lwl6mMDKmp6WOdUgwE2Qgg7mc+h0X7yxAJhVx0giA7M7lG6/145PbC5uqV1VYS4upBzNgNeLS3QVYzGrMesLsMXyOwmyhXykc3gjrpGE6YRZ7QBQ6PzpMtTBoZLg26sXH1+dK3vOl6n8Ru7CzlNItkE1JeuVMB6bml+ENxqBdC6OfWQjx6tblj6JZp9x0rbWNdAsAHY01ePOt6wivJLdNtwC39lKzUYkmvYLT7ZjolkAgVAKFNi13QyE3ElgsEuKTW04A6xsVuU41BqlYCJGQYt/L2F1trYy18edvL+D1V3oxMhWAfznGqXvLzHMMGjn+5eI0x5ajR4/zt7O2nNjKnaenWY15X5TzjJaKhVBVS3ZxZIRyGbT78MP37Jx76Xc/Y8GkcwkHGmt2eYSErULTmaI149pNNcQZt0Uq1hlnt9ufftDPcC1GuXUidAoIBAJ2B+3Xl6ahlIvxxAEtbz2Ki8MupNKZokXeyQOZsBcpFhlj1inw3d8/ikvDLoxMByCTCNGglcOkU8ITWMH0Qgi97RqEY0lcuuvifK7FrIZBLcOrZ9rZ7mPlGOdixehXEyko5WIM9Ohx2ebOi3QasBqRQSav0O+PP7wPsZDKmyxv9P1mnQICASCXiXD3/iIiKwlQQsGG93yp5g/ELuwM5eq2o7EGYpEAxvpqGDTV2ULhdXKY9AqcveHkfG6nqZaNTDPrFBCJqLJSYUrplukKp6uTsQXCt1O3QFa7kXgKaZqG0xtBKkUT3RIIhIqimN1O0hl88al2zLhCcPmj0NVmN00u3JkHkF3gnbDq4Q7G8PfvjuTVKSqs75k7X8htwBOLpzAyFWDnJEzaKgOTEtvXpeO1i9HVVN4GCrGVOwtNZ+AJruBYjx6ryTTciyvstY4lUrDNBtHdxO2YS6gcbt/38d5LdkcQTz7eSO6dPQyTqZTbyIy5P+2OIE6RxhxbomKdcQ+KSERheiHEqRUnk4ow4wrBpFXAE1hBPJmGWlmFWTd/ju+4Ywn1tdw260C2UHYl1ZAjEMqhWGRMdvfYz06Yv/xMB/7br2xYvp4AsN55bMBqwPJKEtfHvOxnMH87Yc2m9DFpebap4IapHRQlwL1Z/mL0vqUY3nitHw0aOf7hN/fY15kJ9KFOLW+h381MlgvPRyyRgoiieI9l0mUBFB0zcwyxC9vLpnUbydft0S4dMhng8l1X3kRRKRfjmT4TAGDOF4FtOoBb44tob1RtXbfBGF463YaeVjX+6Td29vXt1C1zTv7qJ3cQT6bRoK3GymqK97hydEueZwQCYbsptNtz3jBi8RQoIYUp5zK0ahmqq0Sg6Uw28kkAtDfW4FCnFmaDEpdtbozNZKPWAcC3HEN9TuRbLr5gDE8eMuG9KzN5r+c+k596ohGXh115HVT1dXI4PfkNq3I/U62S5qVjEVu5s5x+zIg337oBINsNfdwRhFpZhYHHDHC4w1BIRcShU6FUVYngXGt+WFj/2emJoLe9DqtF5imEyqeqSoQ5dwQOTxhKuRgtRhXGHUGEV5Iw65WoqhKR67sF9q0zLpWi0WxUsjtgyTSNDlMtVAoJNLUyuBej6O/Wo0Ejh29pFYlUmrdGQZNeiXSaP0JCW1uFWU+Yt54PgVCpFIuMOX9rfr0r2Zqjo79Lz6bbxZPZe+SyzYNXz7Tjjdf6cG3MgwwECEcTmPOG8ckdF3RqGa4Ou6GprYJJp8AHQ3NsakeLQcmZwObWjinE2qaBQS3jPUatkmJhMcpb6HczDrHC83HApObUlWGw5HR9azfV8I65o5GEau8E26nbKyMe3J9bwnGrAe7ACv72VyNoa1ShVinFrXs+aGqrEIml8Bc/vInvfP0wb9poSd22a/C5o9luYZ3mGky7ltm/bZdus+dkPVWgXN0WGzN5nhEIhO2m0G4PWI24lmO3mBS2/i49zt2axyvPHIBYKMTVETcm55dRJRHB6Yuwxx23GhGJJTjPAgBoNijx4aAjz35KxUIc7dZjxh1mo/OOdBtgqJPjqs2NTnMtREIKriJ1yrTqrOMv7zViK3eUFoMSzx5pwko8iSqxCMvROOa9UUw4l1FdJYJSLibOuAolkUjjaI8e0wsh+IKxvDq6Jr3ikS7uvx9IpWg0GRRo0ivZyLhOsxpVEhEgyGyquQphnX3rjAOAo116Nq95wGoEJQB+c2mGMwk40WtEQ301by0fXZ0M/qUY79+kEtHaAq945ARZlBMqCYoSYGw2yPs3b8EOcG66Xa72GYcBMxnKq5nlXp9YF9Zx+fCGE27/Cm/EUbFGCk8dNhU9JhiKw5rTNTOXXOfDRucjN1KoSipCMl28+2ZuMX9DnayIzZBv+L2EzVEqCm0rujXrFHD4InjzB/mRdoXa7e/S4+JdF6QSijfKc7d0u35Ogux3RmKJsnRbbMwbPc8IBAJhMxTON6RiIVYTqaKp/ad6jfjVJ5Oc+QQzh4gn04jEEqiu4rdzR7r1GBz1sN/NlKgJRROcqGqpWIg3vtEHs1aBt89OFP3M6irRhraSzPW3F5rOQK2QQCET41fnpzhrNl2dnJzzCmXUEcS7F7i1F0/1GtFpVpPrtsehKAGsbRr847+Mca7xv/l8F5uBQdgc+9oZ19Osxh+81IM79xcBANFV/kkAncngzvhiXg50Q301NLUy2Cb8iK4m8/5m0isgEQlxbcSNntY6jnEhneoIlQij0yZdthNOIVq1DOOOIAwaORtazpeikRv5tVHNrNx/O9xhJFJpvH/NwSmCXKyLZHerhm0TzXdMT1sdb6Ffvg6YfBRGNz3b34ThiUU4fZG8WpNatQxatZyN7KMoAa4Me3jrJly1ufHpfhO/TXAs4aCZ2ITNwOi2aETXFnQLAFds5WnX7Y8iupqE27/CKeC9W7oF8rWrVknhC8b4dVsrz4tIbTEocaavCb6llTzdXrG5YNYriz/PiHYJBMImKJxvMHaKj6VwHMIitVpzbbIvGIMrTeNYjx4SkRAT88uwmNV45kgTtAoJa2sFlABnr88ByEYq89bJtHlgPqNAT5sGvzg7iTN9JviWYuwaoL5WhkgsiWM9BrgWo2xK7YRzGUq5BA5fBFdsZK6/E/Qd1OHtjybySqEwaY9znghx6lQoVwsK+wPZe01ACXDptgtP9hp3aWSE7YCiBBie4JYIiCfTGJ7046nHG3ZpZHubfe2MA4Cp+SU01MsxuRDCYpFJwPRCCJ1NtfhwaA4yqQinHm9AILSK4YlFNOmVEIsonL89D7GQgr5ODo1KitUEje7WOniDMfzoo/s4YTWgWa/M6/gIkO5LhN0n3zmsRrNBiZt2EWLx9bz+GoUEXS11AJAXWp5IpnB3Yj1FQyoWZlO6vRG0GJQla2YxzhDm37npHnxFkEt1kWRe4ztmsx0wC2EihQDAv5R1Tjg84bxak7ZJP54+LGO/k6Yz6DTX4P1rjrxj4sk0PnOsmXXY0XSGW+vMRWxCORRuavS0aXD+9sID65bRT7na7TTX4sJaNz2Aq93d0i2wrt1oLInWdhWvbo90izjptZkMDdukP0+3wHpkHtEugUDYKoz9oCgBlHIJ60iLxpKw9mjYes25WJrVnHRQhlybbKyvRn1NFY4c1OXZVK1WCb9/vSP122ezEXYGjbyoA9DuCMIdjOF7vxjG0W4DlqNxjE4H2DXA3YlFaNUytBhV8AVjUMgkiMQSEAkp6Otk+PiGExfvZpvBkbn+9lKnkMK1GM2LcGSe8WqlFO5gFPVK/nrehN1BJKIws8DdMAWA6fkQnrBoSRrjHoemM3B6+etrOj0R4iDfIvvaGZcNl6Qw54mgSiJiF9mFNGiqkUxlIBULcdiiw/lb6yk8TPjlV5/rxP25ICRiEcQiIX57bQ7xZBoUJUCTXol3Ls3AtxRDk06JYz16TDiX4V9eRTyZ5nU8kF0dwoNQrn74it5LxUK8eLoN0wvL8C+t4tBBLURCCj/96D5H97/3fBfoDPIiaC7edUEmzdbsKBWtxEysmcil3A5nQPH6WLn/H5324+MhB2fnOfeYUs6QcmAil0Zmgrg24kaTXskuHuLJNNz+lbVUmfyopdx0PyYCSyYVoaetDm+fnWDHrFXLoKmpYu0B8Oh2ZHsQ3Z67OY+vf8aCOxOLG+v2hdK63SjSjtGuTi1DMsXtps2n3YetW+YzGO2GVxK8ulXIJZzvYLSbGznIp11jfTUn7eBR1S6BQMiHP4rWg3uz6yn9AgGNI916aNUyzPuiGJ9byqsjRdPZuTclADqaakvWbZOKhfjccTPMObXamE2Dn52fwshUIPu9VgPGHdnNlo3KAlwazm7wfHLLiSefaMCRLu4awDbpx4un2/DuBW7KJJNCCxDbuJ1QlABNBiWa9EpcH+PWGGxpUBFnXIWRStFobVDx3ms6tQwHSRfcPQ9NZ/Lq8efS0qAifo0tsq+dcTPuMM7eyDrNTvY2FK0JYdRW41fnp3D68UYkU2ne8MtxRxCqagmGxjx4/ICWPWbAasx/UKzVuGDC3ZkJB7N4yy0iS8LaCZtlsynQxdJIZxaWMe4I4rjViA8HHeg0q3mPG5sJYMK5BJlUlBdBw+i5WP0pxvEmFQvR1lDD3ge5bFQfq5hDhtl5LuUM2SyMYyQUTeCDIQcn1c9iVuctAJj38KUf/vXP7nKcn4X2gGkP/qg45bdLtw53GDOuZRy26Evq1jblR021BK7FKK9uaTpTlnZ7O+rxj78Z44yvlHY30i2Qv4h90OvPaPcn5yZ506aRyXC+YzPaff5kC7yBGKvbwvNIIBAeLfjseSiW5NgPptv19TFPfr3mtXnyp4+a2ediKp3Bk71GXLqzwLHJWrUcTx+WZaOHtfk2tJi9fflMO6Zdy4gnS9SAterxD79e79J+3e5Dv0XH+0xZWORGg/DVJyW2cXtIpWiY9UrcdwR5r8fodADHD+rIea4gbLNBZDIZ3nutt6Me3c3l18QlVC7GIjX2DZrqXRzV3mZfO+NyF3RXbC6ceMyI50+2YMEXhcsfRaepFro6GRyeCMRCCnZHABKRkPezguE4Os1q/Kff68f3/nkEQOlitL6lGBtdMWA1olYhgSuwgr/88S22pToJaydshnIW+bmUTMVbWsVLp9rgD61CrSxex2XWHcapxxvx60vTea8zzojCRX1HYw10a13KPnOsGQNWPQQA3rkwxelwtlF9rGIOmVIF9Qt//2Yf/AM9epy76cxL9Rt3BPHiiRbe4wujm94+O7GhPTj9eCPsjgB6WuseiYnJdup2Yn4Zf/y1w3h/cA4tRhWWwnHe45ye7MKptaEGC4tR9vVcJ1op7X72eDOOd2f1KRZSiNPl13YrptsrIx4IBMDlMmoMbUW7x7v1ePOtGwDApp8C2XRYPsrVrsMdxrgjyOo2GIpvqtEEgUDYP/DZ82SKRijK7XAaT6Zhnw1CIhLy/i0QXsW4I4hEkmafB3zp+7k1L3MdgdY2NVYTNO9newMxKOVihFeSuGJzYcBqRDyRgm9pFQeb1axjLzdC+sxhE4YnFjm/WSoWYjWehn5tvZBLbgqtVCzEkS49sY3bRHdrHRt1COTXjZtZCGHOv4JGNYmOqxQGRz24POzibGa3NqgQDMfIfbFPGLRl62XHEyl4gzHo1DJIJSIM2tz4/HHzbg9vT7JvnXGFCzqazuDinewC+4kDWnz5TDtUcgkyGeCfP5nCsR49AAESqTQ8gRXW4CfTNAasRtAZGhfvLMC/vIqTvQbMecMli9EyD2hvMAZ9nQzLkQS+9882dLXUoUoiZOtMkLB2QrnwLfIBYGQmyKufYql4FCXAyV4jFpdXMTYTgFYth9mghNO3nu/PTHoa6qs53YQLnRF86XaFDQw2Wx+rlENmfG4JiVSat6A+8GANVIotBjZ6P1Mfp1QdMk1NFVobapBIpSARCRFLrNcw289sl24B4GBzNhJuJZ7CciSBRl01DJrqvHQnRrdGTYkDAAAgAElEQVS3xn3Qqtc73vI50bZbu6U0cG82iLGZABvev9Paffqwdlu0619axXGrEZFYAhKRENZ2DXra6soaE4FA2F8U2nOpWAiKEsBbZC7sCazAt7Sa9xpjp/1Lq/js8Rb0tKhL1uDMdcTlOgLjyVTRDfSJ+WW88Vo/Prm9ALsjCJlEiLYGJQQzS8h9S7GasUB+R9asY0GOJr0qL0pYq5ZhdDqAk70NiCdTGBx1IxSNk6yXbaBJI4dBUw2nN8KpG9diVOH2fS8ajzbv9jAJyNaLc7jDEAspTM4vIRpLolomhm3SD18whv/py4/v9hAJ2wBFCaCvlwMAREIK9bUyiIQUAMBQLyfdVLfIvnXGFVvQxZNppGgal+66MTLtxx999RC+8/XDGJkJ4va4D0e6dUimaNbgtzbU8NaJONVrxLURT9FaFEyNiwGrEb/ODc9fe//vPN2BX5ybeOTS1Qhbo3CxnDtJvDbiRiiaYLuJ5cKXineq14if50TBMDVRTvUacfFu/q4WJRRAJZfiC0+2YXDUU9IZUSpldDP1scrpnplb6DnXob3ZKCw+tlrLa6MxV1eJcG0kv/bJpTsL+zoydjt1KxUL0d1ahzd/cINjT088ZkQmgzzd9nfpMe+L4LF2DTQ1spKOqe3Q7ka6bdIrMDTqyXttL2j30EFtforZmr3Yz7olEAhc+Jz2apUU0wuhojWZDRo5NDVVmHWHOM4tQ311niMuFz77VegI3KgenEEtw6tn2uEOxvDmW9fZrBQA+HDImReNx1czllOGpqBOnFQshMWshr5Ojo+G5nJsd5hkvWwDNJ1BW4MKVWKKM3eyTfrx7JEmiEQUaQpQAdhmgjjao8f0Qgi+YAyNZkW2LEvQhSa9AvUqKVnj7hO6mtX40W/HOfPzr326cxdHtbfZt844ABiwFq8JNOcJo1omxpURD1490w6zTgGxiMpzUngCKxAAvCHwEpEQzx1pQjoD3tzpKkn21BZLY51ZWMbpxxvxyS0nSfkhbEjhYplvknjuppMz+SuMlulprcNqgr8uYorO4HfOtOPd89Ocyecbr/Xh+WPmB9bpRjXiCrtnlqrplQvj0C6VIrjZSTHfWDdychRzIjFd2LZrbHuF7dKtxazGCasel23811cgEODOfS+72GJ0+6Wn2/HZI03bYl9L1YgrR7cKmYQ3QrBStMs3bqVczNv5cL/rlkAgcOFz2gdDcTRqFUXrsvVbdACAczfn0d+l59j/66OespxWfI7AUvXgcqN3P7k9n+eIY97L2DC+mrHpNI1Umj8FNpWm8cKJFraj6w8/vM973MW7LvzucwdK/i5CabqaazHnCfOe36VIHK5AFFoVSVXdbaYXQnj3AnftcKrXiANkjbtvSKVozLhC/H4NV5g4xrfIvnbGCQA8f7IFDnc4r6D1FZsLhzq1sE362YUQALgD0TyBMWmmfEzML+NPvnkkG7KproJtKgDfWu50tUyC+84g9HWyomms3mAMnUoplHLxhrWzCAQgP52imJM3d4HMLL5zo2UA4LvfH+L9fKcnArVSWnRSuZMLb76ooPO3F/CHXz2EO+M+1iGjqZHixx/e57zfYlYDQNFUu42iTzdyVJSbPmjWKfDymXbYHUusPZBKRLjvDEJEUVsa215nO3RL0xmIRBS+n1NsO5dZVwjVMnHegiueTGPOE8asJ4wm7c5ot1zdDvTocXXUzfsZlaLd0Wk/+rv0yCADpycCrVoGg6aat4ZSOeMiEAj7j8INp3gyjeoqEYbGvDhuNUIsEmB6IQS1UorejnrW1vzHb/Thg+tOXvt/dXRjx36x6N0rNhe+8uwBTDqX4Amsz/O/94thfOfrh9FiUJZtW3va6nD+dvZZpVZJMTId4H2fJ7CCb3+hh03xvz9XpKSGc4nYyAekWafEnJfbPAMAnN4IZj0R4ozbZUQiCi5/tjavQSNHMBRHPJlmN0q7m9W7PELCdiESUZiaz9rg3BqO8WQaU/PLEIkoJBLcTWdCafa1M+6yzY1ILIVxR5DNXWdqB1VJREimaZx4zIgffXQfi8urHMdZqRD4jsYa/PTcBGxTQRg0cmhrq7AUTqDNVIs5TwgiioJJr4BZr4TzowjnYaxVyzDtCuGN1/phIAVICWVQmE7Bx/25JTh8EVzhKRI/4w5j6J4Heo2cNx3NpFPg3kyQ93N3elLJFxUUi6dgm1zEq2fa8zqnFSuoXyrVrlj0aTmOis2kD4pEFAZHvZjzhKGprUL1WkScTCKCrk5eNJ1mP0/Wt0O3V0bcmJwPwaRT8F5fY301bo/7OK/PeSKwTQd3zBlXrm6zGHD2BjdirhK0S1EC+JZWYZv0Q0AJ8Gx/E/xLMdybCaBRp3gkdUsgELjkRi1PLSzjUKcWq4kUPn+yFU5fGNMLUTTplWjUKXD+1gKe7DWCpjNo1isx5+F3qoxOB/CeXIyelrqSTjm+yHOxkAIlAO5O+NnGNWzjtrVNnnJt6+i0Hy+cbMW7F6Zw3GqEtlYGh5tr+/R1cvz03CSOHNShxaCEob6a10YaSXfBbcGoqea9Di1GFaKxJHF47jJOXxQKmRjWdg1b4okJfJleCEGjJCmq+wmjthpNemVeDccqiQhpmkTFbZV964xjQtrnvGEMWI3Z3X5RJC86Lrd2llQs5DjeSoXAp+gMPrw8CyC7wJGKhXj1U514+4PxvDDdG2IvTvUacf52fkeg1oYaRGMJ4ogjbIrcdAq+yd9xqyGvphaz+H79lV789c/uIp5M42RvA6+mRUIBapVS3u/dyUllqeLxo9MBUE+3F+2AWVjDrliaKF/0abmOinLSB3MdIyadAvo6Oa7YXFjwRdndo/ZGFW7e85Y1tv3GdugWyC6C+LTboK3mdfTp1DLcvu/DC8cfPMW6kM3oFqh87eZOqt67MgOxkHrkdUsgELiwNkYAXBvx4Ei3Hu/w1FZ++UxHXhOGUjVV37kwjXcuTJdMWeW1oVY9/uk3dsST2aZOuTCRb+XYVooSYMIZQs1a/dJILFF0/i8VU/j15Rl8ODSH11/pRUejCnfGfZzj2htriBPiAaHpDA401eA2z/lFJgOBgCLOuF1mdDaAszecnPt/wGqEVCIk12YfQdMZTs045np/7dOd5FpvkX3rjMt98F+6uwCVQoIXTrRizh2GwxvG544359XOKuZ4u2n34sXTbZheWGZTXbW1MtzlSd2ZmFviXfgIhRSOWw1Y8EVZZ+CvL03jS0+14+2zE6TrEmHTDPToce5mfspHjUICtz/Kq8GrtnVHxRVbTpOGpRi6W+oACPDbwdnsw5Nn8rmTk8pSk/Tu1roNC+rnTsQ20w21HEdFKYcLM9GfcYc5jpHcIs/xZBrBUBx6tRzHevSIrq63fK+uEiEcS/J+/n6ET7el6pLl6hZY165AkE1ROdisBiCALxjj1a1aVQVNjWxHtLtZ3QKVr93CAuVEtwQCoRDbbJDdJKmSirCwGOG1R+5AvnOsmFMstw7sRrUoWwxKTpOaTnMNpl3LnGOZyLdybCtNZ3Cosx7XRjxQq6TwBWNw+iIF3VTz5//xZBrnb83jTJ+J10Z2mmo2eWYJfFhb67B6upVtDqBTy6BWVeHinQWk0hkcNNdAV0MCG3aDbJr2Mu/9H0+k8Omjpl0aGWGnmHTyX+9J5zKeOdS4S6Pa2+xbZxyQffCfv72AwxYdVhMpXLqzAF2dDK8+ewA9zWpO7SxmoZdK03AtRmHSKSAQCPCLcxNslIBt0o8nOrXwL+e3alerpHAWqWsw6VzGE51azLhCeSH0dkcQtkk/6bpE2DR8k8tjVgP+8V9GeY93eiNQq6Rw+1dA0xm2E9hj7Rp89ZkO/Oij+6DpTL6jLhiDSaeARCzc8UllsUn6U4eLP8iZ9MXCNL1yOkqW46ig6UxZ6YPFHCOUADjQVIu2hhq2+cD52wtspBxjC1ZWU1DJxTuWSllJ8On2MwPN+H9+fIv3+FzdAmC1e6CpFn/6B0eRStF4++wELg+7OIsms0GJj6/P4T985Ykd+z1b0S1QOdq9cNdVskD50S4d0S2BQGCZ80Vw/ta6zXu2v6loXcmJuSVMuMPoMCgBrNv/q6MejE4H8jJVGIrVoiyVll9O5Fs5ttXaWoephew8ncmUYeZKjO2ztmvy5v/eYAwzrjCe7TNhcMwLAbIR3ExzB8KD06CpxuCIDd6lGFtCwT4bRHdrHVTVEkzMLxFn3C4x5Q7DtRjl/Zt3KYZmnZJES+0jKEqAWZ6UcSDbRZqpTU7YHPvaGWfWKfDt33ksL83J4QljeMKPN17r4yxUmIXes/1NEIsoiEVCXLW5QNMZxOlsCHw2SkjFSYkKhuI4fFDLm4KlVcvgDaywRQ4ZfMEYu9AknekIm6VwcvnLS9PQqmW8GjTpFLhxz5v3WjyZZqOGciezzORTXydHe2MN2htUO67NYjvX3a0a+Hzc31NOml6pCcBmanSVmuhTlABjs/x19hyeCP7Pf5t1GFGUgG0+UJhO4w3GdrSuWaVRqFutVokmnZK3JoxJr8CNMS/n9baGGrZrE3N9chdN42sa+g9feWJHtbtZ3QKVo113MFa08DhToBzAI6fbF//oV5t+z/f/12d2YCQEQuVhmw6wjc2kYiH8S7Gi8w6tWoa/+slt/NFXD7G2jbH/78nFeCen+yIDXy3KjWymWafAn/77AXw8NLdhVHEp29qkVeCpQ42wTfrzMmUY28fXzV2bUwqhSVva2UfYGqkUjSa9Ek16JT4cdHAiuV997gA577vE3YlFNBmUvPd/s165CyMi7CQ0nUFLg4r3erc2qsg9uEUqzhlnsViEAP4OgAVAGsA37Xb75FY/b2TKz7vzf2XEgxNW/oXK6V4jTj9uxLVRD15+pgMzrhCcngjMBiWOduuhkok5KVEA0KRX4eY9bl2DKokIc55wXoQHkH2I2yb9AEhnOsLWYdLd7kz4YdIqeNP1mo1KjjMud+e4WC0W80NcaJezc81QTpreRmymRtfLZ9oxOR+Cyx9Fp6kWp3qNMOsUoOlMniMpt7tQs1HJOoyyDhR10Xo5O1XXrJLJ/a1KuYRXty0GFccZxxfxsJva3YxugcrR7s/PT7KL6MKuWLkLYqJbAoEAZKMibo0vsnZDrZJiYTHbsIHPfldJRAivJHm7pfa01OGdC9N5rxWzYeXYzO5WDbQKyQPPo63NarzxWh8G7+XP/1sbVcjQGVy8ux7Fx/zG+pxSCMQW7gwDjxlwLqcuWe4za2KepMftBiIRhVSahlHDX8u3yUCi4vYbFCWAocj11tfJSWTcFqk4ZxyAFwHAbreftFgsTwP4vwF8YSsftFE6z9ee7ShdR6ILePOtGwCyaahDox4MjXrwxmt9eOMbffjouhOz7jD0dTI0G2swPb+EM30mhFcSmPNGYNIq0KBV4JfnJ/FERz2G1xxvALdOBulMR3gQaDqDntY6/OvVWd50vXcuTKO/S8/WietqruPsHG/WqbCTv6UU5abpbUQ5dWRyd+SZyd+1UTdO9RrZsSjlEsikIjYdnimEb9Iq8JNzkzjenf1MvnppfJP5RxN6XZ9ruq2SiDDhDK7X4imiW6AytFvO91aKdilKANtUEE16BZ58ooGtdWRt16C6SoT62io4vBGiWwKBwELTGbQ3qhCJpSAVCxEMxdHboYFAAHz+VCu8gRXMusMw1lejQVsNXzC2ZvO4tq3cGpmbtZnbYY+YMeTO/6+NePDSqVYc7tTCm/OMumn34jtfP/zA30koTW9rHX7y0f1sQ46cOa61XQOV/MGdsITNM7UQwgeDczjSrcexHj1WVlPwrtX0k1eJ0NlIaibuN2g6g+uj2Vr6C74InN4ITLqsr+P6qBefP96820Pck1ScM85ut//SYrH8y9p/mwF4tvpZ5aTzmHUKtKzVsyg05Lm7cbkRbVdGPHj1TDtqFGI81lGPKokQ7+Z0kmI8xGJR9vUTVgOO9hjQ2lCDW+M+1CokkObUyeDr6kQeKoTN8tRhEy7cnsfk/BKisSSqZWKMO4KokogQjSVx6e4ClHIx3nitv2QX381obze0upk0vY3YyImTawNy0/SYHfnse2i8cLI1zwY4PGHYJv3o79LjzbdusOk0f/jVQ/h4yMFO5hUyCWbdIXzz+YNbOBP7h+PdBvzlj29BrZQCELARw/1depy/XZ5ugfK1u1s2tpK0e7C5FtHVFK6NeDhpP3QG+NnHE6xuX3+lF+dvzRPdEgiPOAM9BvzFD2+ymycHm+vwya15CCkKt+/7UC0T4/a4D9dG3GwzGIVMvGFDG4Dffm+nzdwMfPP/n52dwNc/bUFrQxq37/tQXyPDd75+uGREM5nPbw+pFI0mXbakxfUx7jOrp7UOPc3qXR7lo8WVtXJNUwvLOGBSQySkUF8rg7xKjCc660nppX1IKkXj8EEt3r0wBYmYQotRheHJRdy458WLp1vZbCDC5qg4ZxwA2O32lMVi+ScAXwLwSqlj1Wo5RCJh0b8/c8TMm87zzJEm+CIJfHLTiZHpAHpa6/DUYRO6WzXscfccS+zxuSk8dkcQWq0Spw814c++fw0Wszrv8+PJNByeMLRqGShKgEadAqPTAfZ7Huuoh21yEWa9Et053zs67S85Hj602v2Vk7/ffk8xNtLtVvBF/DjWY8C4YwnmVhUONNWgUavEyNQiWoyqPK09KFvR6lbh00Sp+3o7NXTPscS5/wGwNoAZy08+GOdNo1lNpAAAg/e86OsxQqtVor62CrfsXoSiCSxHEshkMrg25kWVTLJj53A72QntyuQSVruG+mqcfNwIoVCAy3fceP5Ey77RLVA52n32aHHdxuL5uj2jVcJQX010W4RKfG5V4pg2y374DdvBTmq3HHKvg1arxJ986zjO33KCEkgxtZDtYppIpdDbocWVtTrLwHpHxS881Vb0WpZjk8u1mdttP5nvybWhF+4s4K/++Ay+scH7S/2uR0XX263bJw814oNrs7zPrMFRD57uN/O+by+c70ofI9/4BAIBDnVqkUjRiCdSkIgpODxhyKvE+F9e69+FUW4PG+m20q/VTuMJrKC/S490mkYiRaOnVQOhkII3sPLInxtga/oQZDKVu2NjsVgMAK4B6Lbb7bztWny+8IY/wOGNYPCeF6PTATYUHkBeQVgg+9DNLaL9k3MTCK+kOKlTSrkYX3m6HRQlwIJ/BX/zSxtvMUOzXglLszqv81Tu97Tk5NMXFqjlG08hWq2yaJHwvUgl/R6tVrmjie/l6HYzbKQfkYjath2LrWh1q5TSRLa7WukUlwflw5tO2B1Leff/FZsLnzpixtee7WDr9f3n7w/yNiAw65VIpNKokojwJ988Ao1GAZ8vvGPncKd1C2y/dn2RBP7z314paiOB7Uk9qhTdMmPZbe0CKFu3TKONGyOufa/b3//zjzf92ZXWwKGSnqVbZa/8hkrS7k5Q7DoUs6f9XXpcurvAvtZsUOH/+P0jvDZ8MzZ5I5u53XrZaP5filK/q6/HWBG63ou6FYko/G9/d63oeuvPvnWMM8/dC3ak0sfIN747U37cGvexJS60ahmqq0SgM0B1lRivnil9jzzgeHZtfVbp12qnEYko/Oij+4jGkpxrXy0T42vPHniko+NK6aOUbisuMs5isbwGwGS3298EsAKARraRw5Yx6xTo6zHC74+wE4K3z06UVRC2sBOrVCzEt75oxdtnJ3BvdgnWNjUONNXyPhxaGlRYisQ3/B4AGJkJcN6/2aLehEcTkYgqWuD44rAb1VUUbt8P4GBzLQZ6DA+sp+0oQL8d7HSdMIc3gp+fneTc/6d6jdDUSPHd7w/hYHMtTlgN6GpW8zo1mCYtTx/W5o2xUs7hbsKkJn1SUI8MYLTrwtA9D2xTwW3RbiWd80rQrrVNjQ5TLdEtgUDYFBQlKGoLVhOpvOLeTXoFZj1h3q7Lm7EnD7suaLH5/+uv9PIenzuuUr+rr8e4swPfxzBdVXPXW0zkYkuDCjPuEEz15Dn0MJhfjPKWuHjhZAseb6/8SHnC1kilaFTLxPj4upNz7Uma6tapOGccgF8A+AeLxXIegBjA/2y321e344OZB2W5BWGLdWIdGvVgdNqP8EoSs+4QnnyigdNZRCYVocNUgw8H50p+z4w7jIvDLow7lmBt17DRC8xYSZdVQjFss0FcG/EgFk9hcSnGe8y4I4hOcy1MOgU+GJrDuZvzDxTFsl0F6LeTh1EzhiGeTCOdAX7xyRRW4ynMukM4d3Mer7/Sy5tGUyXJmtjCmpCVdg4fJg5vBOPOJUzMh5BK0SW0u4THOuox5w2z53mr2q3Uc77b2uV7dhXTLYCKPIcEAuHhkI1Oc2NxeRW+IL/d9gVjUKukcPtXIBULQQmAv/+XMfzB57vyHHJbtckPy8YUm/+PTAVgzalNxkTs3Ztd2zSyGmB3FP9dhAfjWI8e18c8SKbpvEYOmUwGH1534pnDJrIxtMNIJELMeSK898e8L4rfebINicQDxdAQKpRS137OE4FEIiTXfgtUnDNuLR31Kzv5HeUUhC01UXAtRnGsx4BYPI0rNheGxrx46XQbphaW2ZDN1oYa/PSj++g0q3mj5ixmNWY94bxQdsa7PGA1smH+pMsqgQ/bbJDdtZWKhbC2a3h1plXLcOF2VkuMrh4kimW3iik/bErd/3PuMJ7tb8J7V2ZA0xnEk2mMzQTw+iu9GBr1YNYThkmngEouBZDhOJAelXPIh8Mbwcc3neyO6kbaPX/Lyer2QSKwHqVzvhntXra58Y3PHsT9uaUNdQvgkTmHBAIhn8LuzMXstkmngCewgr6DOrQ2qDDvjQAAfjvkxKf61x0llWyTy3UU5s7DALCbRs+fbMGMi/93ER4Ma7Mar7/SC4cnjHcvTHPWT41aBXHG7TBOXwSuRd7KUXAtRkl01D4mlaLJtd8BqJ3+AovFIrBYLHU7/T2bZaDHAKk4v0BjbldTZqLAB+PguD7mwYDViBqFBNdG3LBN+pFIpTHuCGJ6YRnhlSSqJKKi33PZVjrMv7DLKoHAMDi6Hh4eT6aL6qxKIsoWUc7RFTOZ3Cob3Tv7gY3uf8ZJxJCBAH/9s7sYHPUgkUxjeGIRo9P+orXAHoVzyMfQPQ+iq6mytRteSbK6BfBA2n1UzvlmtHus24Afvm8nuiUQCCUp7M5czG6LhAJEV5OwTfoxOOLBtCsEhyeMS3cX8OZbN+BYc84BlWtPStlQxlE454tw6kED2XPjCaxAKRfnvV4Jv2u/0NtaB09ghffcO72RB5rfEjbmxrgPZgN/kfrmIq8T9gcUJUCzkf8atxhV5N7bItseGWexWJoA/DmAAIC/A/AuAJnFYvEBeMVut49t93duBbNOgTde6ytZEHagx1A09Yx5bTWRQjSWRMeBbN04t38FBo2cDeG/YnPlhVIb66vR1aIGBMC4Y5l3bL5gDGf6TDjeo4eZp84G4dFGJKI4dZ4YnWUyGTi9kbyC7QxM+siD7jqXc+/sB0rd/4VOoshKgj3O7V8BAIRXkrhs8+DVM9zz8qicw1woSgB3IMZJb7pic+G5I01YjiTgWoxytJub9vQg2n2Uznk52lXKxVhNpIhuCQRCSQojxShKAIEAeP5kCxZ8UbgWozDpFaAEAly8u15mhak9yVAY3VzJ9qSYDWUcarbpALxFUnWdngjOHDbBHVyBe3EFWrUMWrWcbUhEeDAoSoBZF3+R9Fl3mJRM2EEoSoBoLAWDRs5b4qIppzEhYf9BUQJUV0l4r728SkyccVtkJ9JU/xHATwA0AzgH4Gt2u/19i8VyBsB/BXBmB75zS2xUEJaZKFwd9WB0OsAuEm/avTBo5AiG4tmForIKA1YDhtailYKhOBvCT9MZXLq7wBYZFQD40W/HAQAvn2nHtIvrkDPUV0MqpvIccbljJA+aRxuazsBsyC9iy+js65+2QF4lwoXbC5xdQ61ahnFHsOju7GZ09bCLKe8GZp0Cb3yjD+9ddZR0EklEQt50HSC/NuSVETfuOZZw0LzejGA7u4XuBUxaOQBwtBtP0BAASKTSsE3m1+phFnTFIguIbrmUo90Wo6po3afcVCymTlSudl89076tHZoJBELlko0UU7MppQNWIzvfZea2wxOL6O1Yb/giFQtRXSWCWiVFMLTeyKywHlyl2uRSjkKKEuDW+CK0ahl/Z0+DEt5gDP6lVXSaa5FMZYBMpqJ+316GpjMw1FfznvsGrYKc5x1kxhPGR0NzbM2+eCIFbzCGJr0SQgroNNXs9hAJOwhNZxBLJNHfpWevvU4tg1QiwmoySe69LbITzjiN3W7/W4vFQgH4Pbvd/j4A2O32sxaL5S934PsemFLiYSYK78nFePfSDPosOnS31sEXjMHarkFbQw2srWo0aRV4+Uw77I4l+IIxmA3KvEUl46Rrb6TWIxHWQtnDK0n2+6RiIVoMSnSvFYid80Vgmw7gzn0/+ru0cAdimHQu42BzLZ45YoZWIdnBM0OoJNhF8ewSBh4zcHYmlHIxXP4o4knuAlkqFqKrRY0XT7Rwdp1zP3ezXSv3u+E1axWor5Fi1h3iOImM9dWor6nC0S4dLtvcvF0pDzarMePOrw0568rWlfnKsx0YnQnCUCfDkYOVEQ2wE+Tqq91Ug/bGmrxzKRULEY0lIJWI8hZtzN8MGjnqa2SciAmi29JspF1DnQzhWKpoTVMgv04UkNXu5WEXvvapTnx8Yx7tjapt6dBMIBAqk9FpPz4eckAgoNhI8NyI2ngyzUbVCgTAgaZaNBuUMOmUGJlahEQkzGtOViy6uRJtcjFHIU1n0N6oQiSW4o0QoQTA1RE3AGByfhk1Cgn+3Rcfw8/PT8I2HczbkCNsHprOoK1BhTvjPs65N+mqcXc6v8kGYfu4cCe7oadTy3B9zAMAUKukEFICWMy1JJtrn5NK0dDXyfGrT6YgEVNoMapgdwSRSNL4wlNtZIN2i+yEMzM6ryIAACAASURBVC5qsVg+ZbfbP7BYLN3MixaL5UsA+Kv+7QF6WrI1CgpbOdsm/ehp6QMAdJpq8e7FaVTLxPjXK7Po79IjlaZ5IxMAYMK5jCcPmeD2R9nGD1USEYKhVZh1Cthmg/jk1jx8wRhMegWc3gibAsB2F/xGHzF+jwCFi+I5bxineo0QCASYXgjBbFDimf4m/NOvxzDnDeelRjMpEs8dNnEmvJzF9gN2rdyPHDmox4dDTs6k73PHzey9VyylRSSk8OGN/PdSlAD9XXpMzC+zkUkf33TimT7TvruX+fQlk4rw9c9YMDIdgMsfxdEuPQbHPHB6I7y6ffVMB+cBT3RbHhtp1+GN4NKdBc7fNTVS/NkPbsCgkbN/oygBe33+9aoDWrUMkVgKf/HDm/jO/3B432mXQHjUybWzzP0vlwqLdgt1eiP40z84imlXCP/lB9zmZKd6jXuyblrhvImiBDhhNeDP/7+b6O/Ss88sfZ0M7aZa/OSj++xxA1YjMsjg7Q/GoVXLYNJuT2f7R52DTbU41qMHBALMLITY9dMvzk1CLKTw+iu9xCG3zVCUAGIRBWu7hg1IYda1krV5BWF/Q1ECXB/14sXTbZj3hTHvjcLarkGjVonro148f9RckRsrlc5OOOO+BeD/tVgsF+12+zIAWCyWLwP4IwDf3IHveyiYdQqIRUJO6l88mcbFuy787nMHYNYp8EdfPcSGtStkYpx8TI/hqQDeyen6w2DUVOPDQQeA7M4CE73QYlTB4YvkdWni67QaT6bx3lUH6muk+zqyhpBfPBnITg7P317ACyda8GffOoZUioZWq8Q1mwuz7lBearRt0o+nD8t4DWTh5wLcui6POkXTVXKcD7nH3JsNQltbBalEhJvjXoio/D45A1Yjro95OPe2Vi3H0JhnX93LfPqKxVOY90Xx7S/0AAA0GgXCKwk43GFe3fLttBHdlsdG2i38e0djDRKpNH784X3o1DI43OvnuJhu+7v05DlEIOxDcu0sUwpDKRfjiU4tb0RtR2MNUim6aHMyiUi4p+1DYTT2t3/nMYxOB+ANruBYjwGHO+vxN78cYedaxWwmM49n1g6EzWPWKfBcvwkf3ZjnlLeI02ncuOclzrhtZsYTxtmczeVcPWcyGRjr5MQR8whw+KAW716YKtCBDy+ebt3lke1dtt0ZZ7fbRwE8Y7FYxi0WyzfsdvtVu93+U4vFUg/gIwAN2/2dDwOKEmDCyd9wYXxuCe5gDAa1LC+s/f9n782DGzvPM98HBxuxEguxkQS4NsGt2Qt7EdWtllqbbSmyE0uOHXvkTDk1lUw5M/kjde+UUjOVqtx7R5W6lbr3Tipzk8q1k7EmsRVLsS1bXiVLanc31d1kLyS4gM0VIIl9IVZiO7h/gDiN5YDNnQD5/apUahIAeXjO833nPe/3fs8L5AIYmgbe+81C0WeEfC4aNRLc2ihlz5f5A0BfmwrDFhdrMJM3jc+/5vBGseQM4YM7y2SV7YhSap5cyMSCv+jmV1ihld8+Uui1Veo9OLUUYP2500uBqvNwOUy24mvDbGm/bWOS70I+l/GPBHLjvnCLT558FzCHN3JkxvJmurXacrpjHloeo9v8z6PpLNHtNtmKN2r+9e9/PIsPRuwAUOR9uplu15NpBMMJch8iEI4QlebvcCwFSR2fdXumViXedN6fXVmr2fl5s2rsrzzbCeBRF9YlZ+ixc6aQzy16diBsn1a9HAurU0XPT3kWVkNwBuPQaEjTjL3i+hh7kj2RzDV0IBx9eDwKTh97J2OXLwYej0IymanwaUIl9qMyLs83APyD2Wx+D8BZAHEAT+zj79tXCm+ypWiUItwYd+DVK+0AHq2eza2EcKarAf3tKjx7zgh3IFa0HdUTiDMeHHmTWwC4dNKAv/vRBOtxFHYWzP/u/IrQnWk3WrfRyaZWg6LjxmbaK/VfqVQJAwBvfzRb5q9l1MpYvc6MOmKCy8Zm5ySfgL896S7y05GKBDDpZHD5Y1DKhRVN8x3eKBoUYrj88bIKr1ocq3uhW5NWWlaNcOmknuh2B2xFu5b54iSnXi2BTMyHRMSvqFtPII7eNhUmF/wAUKTdWtQtgUDI0d+uZJ2/g5EELvbpEF3Pbc/UKkVQyuswOu3Ci+eatzzv1xKVqrGvjzlwZ9oFy3wA3S0K9LWr8fHdFehU4k3nTKVcWPTsQObK7UPTWTTrpKxVmhqlCDfHHTh5QnsIR3b0oCgOZmzsi6DuQBytBtJF9ThA01nW2BvIdTImGtgZ+5aMs1qt181m838D8H8CCAF4xWq12vbr9x0EQ/3svlB1Ah4mFvz40jMdWHSG8Zf/dBdnzVrUSwW4NeHC/GoIp7saMLmQa/GeT57xeBS+/tluWG1B2F1hnOvR4WKfDql0BkadtGLiL98qPv+7UxkalwYa4Vlbx59/+85jzcx3Y3xOOBwqeZKx+a+UVsJUWtH9829cgEzM3qJaKhaQ4HCLlCWLBvSwu3M3q6F+AyLxJABgsEcLlUyIQDjBGjw266Rw+WLo71CDQ3GKu7DW6FjdjW4B9mqEqcUAettURLd7AJt2V7wRXOzVYz2ZxvisFyc7G2DUyrDgCLHq1qiTIpZIAwD6O9SguBzYPBEMW2pXtwTCcaW04c6V0424PuYAn0tBKRciGk+hvVGOf/7lDOqEPLx43gjv2jqsSwEYdTIsOsPbmvdrgc2q/WbsQSTTuWruJWcI18cc+He/3Y/xWR/iSfYGOfnO9iIhD5ks8PZHc5heCpC5cpvQdBYn29UYnXKzPpeNbzwrEfaGtkY5q561ShFOdqgP4YgIh0GrQcaqg7ZG+SEczdFg35JxZrP5YwAZAP0AWgF812w2/9hqtf7pfv3O/cZU0jG1sCnDC+dzpoXDE06cNWvLfCIscz48d94Ilz8Go06GYYsDT/br8U+/sBa9b2TKhS9caYdGKWJ92DxhVMATjEOjePS7S30pNjMzJ8bntclmlUOVoOks7J5IWQMBILeie2PcAYAuMiDOaxrZLElobAG28ZQ3qs7QYPWL+coLXRhhCR454GBuZY35urdVWeQbWYtjdae6BVBRuy5/DCa9jOh2l1TS7hef7sCPrpX6gbjx5RdOsHav41IcXLu3wrz3yulGvPkdco8hEGqNSnPCv32pB5YFP5zeKHp71dCrJZCI+PjcUGuZd9DIlAtvvD647Xm/mnnczhhLQdLn9AkN/v6HFiRSGVwaaGSN4016We5+BeCjETuZK3dBU4MYrzzVhoXVUNlz2dkuDaYWfWiQCA77MGue21YPstksq54HOhtgbCB6PQ6k0zQ6mhVFzSyBnA7aNzxDCdtnP7epvmu1Wv9649+LZrP5LIC/3MffdyAUdkzNV7jlV/woioO5lRDqpQLW5Id3Lc7ctL/2ohmr3ijr++ZX1jCx4C962GxrkuPq6SaYtFIMtKvxV9+7Cz6PC0kdr6IvBZuZOTE+r11KK4ceVwFkc0fw7fenKr4+seDHv32pG29+ZxTAoyYiAPDG64N7e/BHlErjSSzkIbrOPi4nF3wYOmlAKp2B3R1Bs0YKDodT1GkZAG5PsvtG1tpYZat42412E6kMpGIBPtrwNiO63Rls2gVQ8b40teDHxT4dYutpuINxdJmUkIv5+OG1eeZ9Qj63ou5rTbcEwnGjdE7IN9OZXPAziXibK4wbD1bxh188iZslnZiBR2P9y1c7HuuzWktUqvarE/CY75X6xOUXy0u7rf5seBHriQxOdqjJXLlLTFoZPp10Y8YWKHsuEwp4+OC2DV+52nnYh1nTTC/5cH/Gg08nnGUd79sa5WgzEK0eFyiKg/mVNdbF8PnVNTw9YDgS8/1Bs5/bVP+65OsIgG/u1+87KEo7phau+NF0Fme6GnBrwsX6Wac3xnjD8XhUxYYQ7kAc9VJBUWfBdDrL+MElUxmcOqHFrD2Itg456iVC1oDHaguUPQBvZqh+VIKmo85Wty4OTzjh8sdwpkuDZDqDQChRFPiZTUqYNMWVS8+c1dT0CvZBstl48q6twxNcZ33N5Y8jmY6gVS9Hb5sKs/Zg2VyglAsr+jLU6ljNb5ku1S6bwfLwhBOB8Dou9unh8pebxSKbJbrdBZW0u5nucrrNzSNXB5vx1edP4D//f7eKdLiZJ2Kt6pZAOA4UzgkUxSl66KYBXDnThA9H7Mz4nV9eQyCcgF4tLostCsf6URnvbFXe6nohvvfBQ+Y9pfNfvgOtkM9FX7saLn8MrkAcJ5oVaGusx61JJ+vvInPl9qCz2ZxVTzAOAY9bVB3XfIQSwofFzFIAy+5IkZ7zi6CeQBy/fbmNmPYfE4RCHhZWQ8xOn7wOEqkMTDoZhEIe4vHUYR9mzbGflXFHls260/W3qTC/yu6t06SRQKMQwR2I49q9FTRrN/eFyws9EErAzs/9vNJtBKWt0gspNcvdjqE6oTrZbJuxRiMrqpqbseVWL7LIQsDLdfXMByh8LsX4t2ylUyihnNLxVDhedSox1PV1m45vAS+KVoMcHU31Zcm4QCiBcz061nmkVsdqJe3+b380BK1MWLRowOFQ6DIpMWMLFumWpnPbJJ7o1RHd7oLSrn953W6mu8JmQZOLuS7OPS3KouRdYQfWUmpVtwTCcaBwTii1PimNM9X1daCzWTRqJIjG02jVy8HlUswc3d1yNMc6mx8vn0shQefOU6X5L+cRzUEgnMBTp5vwu890gKazCEUTrIsfZK7cOjSdhaZehMlFPyxzPiY5IOBT6GtTQV1POtXuBoriIJHKQKMUMbrOd7wHcp6xJBF3fEilMmjZ8Iwr1AEAtDbKkWLZbUF4PCQZtwvYbpZGjRRPn2liHlqA3GR2ecCALID7D73QKEXQqyXgcMC6/14k5BWVgPZ3qHHCqGA86Sq1li78WZXMco+ase5xg+36pzI0ZpbXcHvajYl5P1Nx9OSADu/8eq4soH71mU70tSrLqohI8Ld9hvr0uHZ/FWfN2qLx2tZUjwaZcNNtLVqlCD0tCmSzKHsfAFzs0xU9EOU/X6tjtVS7FMXBuR4d3rs2D7srwugWAD4atZfp9sULJkTiKTw/2FykXaLbnTHUp0c8kWY6IvZ3qCGp4+HUCQ2r7gq3Y3U15+5HpfeTRCoDSR2P9b5Wq7olEI4LQ3163Bx3VLQ+Wd+IM08Y6xGJJRFbT8MbzG1TEvApPHnSgDuTLjzRe7THev6eU1gtN70UgFEnhUknK4r/gdz8p5LVocukRH9HA/N5Eo/vDR2NciRSGVjmfPCureO3r3RgxRPGijsKuUSAsQU/+luUh32YNcmSK4zJeT/qBOz39cFu0q32OJFO02hskLBqwaCWEM+4HUKScftAf4sSb7w+iE8nXZhaDGCwW4P3byyWPVye79XhXI8OHA6w7I7AbFKir12F0WkXPrWUN4DoNikqbovzBNfx+afacWfKtalZ7k4M1QnVQaWtZUP9Brz70WxZxdHvPNPBGlAHwuvkeu8RJq0Uf/D5PsawGXg0Xv/4tQG88fogro85MGMPFm2dEPK5uHKmCUZN7jpUGpNHZayyabdS45lXr1bSbQIvD5nQTIyC94xCE978fYlDcfDN1wYwMe/H9FIAGkUdhBu6BcA0KAEq30+ePdt8JHRLIBwncuP5HP72hxbW13O+Z2Ko60WsMe0rT7XhP/zuqWM11k1aKTgcYGrRjzuTLtwcz/nEJVIbfkoKEYQCHn552waazsIy52MaNByle/xhYtJKEY6n8FuX2yAT8/HdX86UNBVx45uvDZCE3A54MOeDOxDHsidS5henUYhwtrOBLIgeIyiKg1A0iYt9OmYhV6MUQVLHQyiaIDtVdghJxu0TheXs/7PgxpAnkcognkjDMueDSS/DX/zBBSaj/OChl93U1eJCf7uKdetbd4sSn7tgxMtPmB47EMj2rtqEbZtxqWFwnkQqg4XVUNnqBQDMLq+Ra7+H3C/pMAnkzv+tSRe+8blufPX5E3AG4rgx7sDEgh8vXjAx2yzzVBqTR2Wssm3praTbuRV23Tp9MZi0spo+D9VEpSrrSCwF61IAX77aAYriYMkVxk2LCyadjPVhcTPt1rpuCYTjhl4pQk+rknWruaFBgs6mesyurLHOHXZXBL/1RMuxG/M3Lc6i83VjbBUyMR9Pn2nGr27bis5VaYOGo3KPP2z6WpRQSPn4+S07qzZvT7pIMm6bUBQHDzZ2c9lc4TK/uKuDzUSzx5C1aBI3xxxlnnFPbizSErYPScYdAA8rNGoIhhPoMinQopcxiTiK4lRs7DC15McTfYZNtwBtZ2Ikk2jtUbqtYTPDdIcvynhB5f+fSGWIH8kewuNRFQ3vbc4weDwK6TQNvVKELz3TgT969RQ8Hvb3A5XH5FG4XoXa3Ypunb5YkZ/ZUfUhOgw2az7iCcTBwaOOty06GYwaKTQa2ba1S64XgVB7VNo++bknTGjVyfCbB6usn3P4ogd1iFUD21wq5HPRapBjatHP2rF6eqm8QQOZK3dPi04OuyvCfF0YPxTGY4Sto1aIwOdSzHNn3idMyOfiCbKd+tjB41FYLhhjhSy7I+DxKOIhuANIMm6fYatmyneqorM0VtxRxBIZ2NwRpiNrpSYLGoUI712fx7keHRLJNDxr6+hmqVRgW2Ejq25Hg/y2hk8ncx4l3SYFwvEUu2G6UYFUJotwLFnkCUX8SPaOdJqGUSdjPf+mjSR7YQfRvnYVLnRrj+VKuEkrxRtfH8SwxYX51TVolWLW89bZXI/RaTcuDTQW+fD1tasO4aiPJpveZ5Qi6NXisq7Nz543QSMVACD3EwLhqEJRHJi0Uvz5Ny4w1dxMRawmF6N2GhWsc3feS/I4UTiXlnahbdZJoVdLmMYWeTSKOiy5woxNBWFvyMdjpVsq+zvUaGuUY9EZIjYX24Cms+hvU+G7v5op8jHXKkUY6GyAiej32JFMZmDSS2HUyYrGV52ABw6VJYm4HVJVyTiz2cwH8G0ArQCEAP53q9X63qEe1B5QusrI1qnqxoNVxkei0qpknYCHLJ3F3EoQ0XgKL19qw4uDzcx7Ch/6C83QS79H/Chql/w1nlsJYahfB38oAYDDWi15srMBf/POWJmvy7MFmiHsnkqNFi706so6iNrdYURiSfB4XMwtrx2bMVk4N/W3K/GNl3swsejHyFS5bvUqCf7glb4y7RZ67RB2T6X7jKSOhy6Tsqzz7bX7q/j3XzyJiXkfuZ8QCEcMmzuCTyedACiEY0nY3WH0tCjx718dYJLwea4MGHDjwWrZ3HH5mG5Tys+l53p0m3ahBXLnSSjg4abFhS9fJXPnXnOxTwcul4NbFmdZ/CDgcUkybhtYlgJ49+NZPHvOCF8wjmA4AbNJgQaFiNz3jzG9bWr8j/enyua533+555CPrHapqmQcgH8DwGe1Wl83m81qAPcA1HwyLl/NdG1sFUuOMLLZLLsn3IaPRP79H4wuw+YMw9AgAZ9HAQD6O9TwBOJoMkkRjCSLWqyXPjx9fHcFF/t0uHZ/teh75IG2Nim9xpF4EgIeF8ueCJ48aQCdzWLZFYGhQQKTXlbRe/Bnn9rQUC/E+W5iFLwX9Lco8c3XBnB70gWbMwyTXoYLvTr0tyjxdkFjDSCXiC80zT8OY5Jtbhqf84OiODjfqyvSbaNGgnA8Cd/8Oqt2PxhdxgvnmklFwR6Qv89cH3NgZjkIg1qCjqZ6mI31uGkp95M7a9YWJUiPg3YJhONAfo4uSyY5w6xj3KSVst7zjus8YNJK8WdfH8SvRpZZ71tZZNHRVI8GhQiNGgk8gTge2oOkwngfGGhTYdTqZr0OK54IOedbxO6JYNERQmezAuOzOd+49qZ6XH+wiksnDXiBLOofSyiKg6mF8u33iVQGUwt+PNmrI+NrB1RbMu77AN4p+Dp9WAeyH9yZdKHVIMeym32/tdX2yEeiVS+Db20dDRv79bNZFAVJLn8MOlUctj4tTFoZ7ky7WAdHdD1dVDVVah6bh9ygqp9Sw/VAKIH+DjVsrjC4FAWvP4oGRR0mF3xYcoYg4HFZf47DG8WSM4QP7iyTB+k9or9Fif4WZZEnCY9HYW5la802hidcaNUfzeYEbI0CXP4YzvXokM0C1iU/WvRyeINx3J/xQKcSAxz2n2VzhvGtn0zhGy/3EN3uASatFF99/gQoKnfCaToLiuLgvRuLRfeN46pdAuE4MDzhBICiMS7kc6FTiQBwcGfaXWStYHNH8DfvjAHI+dbemXThzqTrWMcTLTpZkV9ZIcuuCOqlAtyf8eDWhBNCPhevXu0kdjL7xMJKuf0CACyshuDwx6BTiA74iGqPBWcYn9xbRmODFIHwOlP9dK5Hh9kV0gTuuEJRHCxt+GQXejImUhksOcNEFzukqpJxVqs1AgBms1mGXFLuPz/uM0qlGLwKSYdSNBrZro5vN7xzbR7hWAoztiCTQCmlt00FtToXyEwu+KCur4PNGYZRJ4NOJUIqQ5d5Uvz8th1yiRCBcAKXBhoZb4r8IAmGE4wZeh6rLcCci8kFHz65u4yJBT/62lR4+mwzetvUB3NSWDjMa3SQbEe3eaZtxSbBiVQGIiEPVweboa6vQzyZhtMbxcnOBvC4FOLr7F5yGqWI6X5ze9qNwb7q3lpSa5ooHFNGrRQ6lRjDFgfTtKD0BgbkmrP89b+OQ6cSH/oYfBzb1W6pboGcdlX1Qgh4FLSqZqx4okilaQz2aMHjUshms6yNMfLaJbrdH/LaLfQBOSra3cmcu1Wq8VpX4zFtl6PwN+wF+6ldIDdH58e4SMjDU6cbIRHxseKJwumNIhxL4tf3V3BjzImeViWUciFSGRo0nS2KLQ97Xj5svfS1qyr6cOZjLiB3//ME41Ubh+8V+63bSugbJKyxb4teholFP/pf6D7wY3och63dcpzoMimx4o6iv0ONJo0MP7w2h/VkGgOdauZZ9SjyON1W37U6WBo1ElbPOJqmoVRKDvvwDp2d6KOqknEAYDabjQB+AOC/W63Wf37c+wOB2OPeAgCP7QS3n1AUBxPzfgC5m3CdgMfq8XWhWwuPJ1y2ravQdwIAqydFfnvBkycNyGbxyGhTJYa6XgjLrJ/pdHW+R8f6e5YcIXx4x35oq5uHeY1K2e/Jdqu6LaTbpMCSozjQoygOMhkaP/7NQpkmXnmqHWOzvjKd1Ql4zPcmF/zw+SJVu5JRTZrYCmxjKj9271rd+OxQC2zOMHMDU8nrcP3BKjSKXLA+Ou3e1Rg8iCBhu9pl062Qz4VBLcH0or9o225eu68+28k6R+a1S3S792x239lv7VajbrdDtV3rWtRfKbXyN9S6doHcHH3t/io+N9SCLABfMI5PCvwkC+PMn95cLPNBy3OY83I16OVCtxYf3rFvGnPleWgPwueLYNEVxl999x4kIj4CocSBxeFHQbeV6Gyqx4MZT9l14GxU3Fdb7FAN2i3k/rwP3/2ltWT8e/DbVzpwe8KJV5/uONTjPczns2q7VgcNj0dhoLOhomdcIBA91h2LN9PHZrqtqmSc2WzWAfglgD+2Wq0fHvbx7BWlneuGLY5H1W3BOHpaVEUdUdm2dSVSGWQyNNIZmvW19WRuRy+dzWJ81otwLAXg0SC5OmjEuV4tHN4obk06EVtPokkjBYfilP0stm2sm0HKUvePwnNbaLheJ+ThsxdNCMVSWIskWDWx6FjD7z53Au5AHFNLfmgUIqbSJY/ZpCTXbg+pNHY5HOC580b89MZi2Q3spUut4FEU7s14mPdvdwxWI3ntFuqWojh46lQTJHUUHtqDiK6zb320O8OMB4/NGYZGWaxdotu9p5J20xkarz7Tge//epZVu9wjqF0C4ajCFq8N9elh0Ejx7q8foq9NjVSFODORfGR7sp5Mly2YHPd5Oe/DOTzhgtUWgNmUqyL8lw8flr23s6keP7w+By6Xh742NZJpGq16ObhcCsMWB5lHd4HZWI+XL7ViaWPxSKMUQVLHw+zyGpIpGiea6onv7CaMTrN77q16IujvUEKvJNt8jyvpNA3LvI9VH5Z5H57o1h7SkdU2VZWMA/BnAJQA/ovZbP4vG9/7nNVqjR/iMe0JhQ+kNJ3FjbFVyMR8vPH6uaKJjaI4mF4q39YFAMk0DW+Q/VR4AnEo5UIsuyKQiPhMMg7IDZJQLIEbYyuIrqcx1G+A0x/H+JwfF3p1UEgEeDDrhdMXQyKVKfKu2wy27q0keNgbKp3bN14fxIIzBH8oAYc3hlSmsibc/ji++LQSV083whloxJtvjRTpQsjnYqhPd1B/0pFns7G77I5ApxKz3sBszjBmbIGiSoOtjsFqhE27b7w+iE8nXdCpxHD6Y/CtJTbVrs0dQYtOhhfONeNbP5kq2uJDdLv3bKZdpz+GBoXoWGiXQDiqbBavRRJpWGa9kIj4m8aZ7o040+mLMTFnfpsqmZdz5JuwFfrr8bkUEnRxlVYynUEswcF6IhfHrUUS6GyuR4bO4smTBjKP7oIWnQzfen8KLl8MakUdpCIBEsk09GoJKC6FeUeIJOMqMO8MV/Y+dEfwxWdOHfAREaqJujoeljfxxqyr42F9/UjZ/R8IVZWMs1qtfwLgTw77OPYDthWzoT5d2QpDaRVdIUqZEHVC7qY+YKe7NLi/UaVQSD5JN9CpwciUC6kMjaF+A6LxFBZXQzDqZTjbrYUnEIdUxK8YADyue+txNvDdKzY7t95wApZ5P7Pa194sB4cDVk20Ncnxj+9Po61RhqE+Pf70K2fK9Eeu1d6x2djtblGyjksgl0iXiPhFVQe1WmFQUbtfH0SnUYHhcceWtGtQS/D9j2dxvluHb7zcQ3S7z2ym3Va9DNOLftbP5bW7fgS0SyAcVR4Xr1kXA3AH4giEEmjVy6FRiljnZa1ShPE5HwCgy6iAUMDFxIKfzMss5OfA0s6zLXoZThgV+N6HD/HZiyb85v4qzpq1UMiAqcUANEoRznRp2eTaggAAIABJREFUoJQJyDy6Q2g6i54WFWzOMNob65HN0szin0YpwsJqCG0GOUwkIVeE3RPBx3dX0KRl99wz6qVQSQSHcGSEaiGZzMCok7LrQydFMplh+RThcVRVMu6oU7piVonCKro8uW52GfAoTkUvJSBnrHhrozNWIYYGCSYXfEy3rEsDjazecxf7dOhtU5V9vnBVtb9difUk+zYGUlq/eyptF1tyR/DPvyj2cbDM+fCFK+1FlUNAThPpdBYz9gBm7AEm8P7y1Q6y2rqPVBq7T/brsRZNYm5lrewz+US6gPfIHL9WKwwqaXfRGSnzINlMu1yKg/dvLjEdf4lu959K2tUoxYgnM0deuwTCUaXSvPzB6DJ+50o7Jhf9TAKOy6Ug4FOscaZww/tMyOfi8oABJq0UX3qmg8zLm1Daefb2pAu3J1347FALVjxRnDVry2Jxy5wPf/g7Jw/zsGueoX4dbo6vQqMUsdqDNGqkJBlXwsRiADZXGBf69BDyyz33znWTe/txRyjkoadNjZEpd5k+etrUEAp5iMdTm/wEAhskGXcIPC5wKa2ia9ZKkc2C8Uu6PGDAeoqG0xeFSSeDVCxAJpPBK0+1w+mLsgZRjRoJlpwhpiNeYQv7PIlUBtH1NKxLAfS3KJnvl66qJlJpCCp0miGl9buj0nYxmZiPh/Yg6zVb8UbwylPtsLvCcHijaG2UAwCuP1gt6n6YT5SSa7N/lI7dzqZ6aFUi3JpywaiT4u505aYEjRoJ1PI6nO/W1mRCezPtzi5vTbsthly13J1JF/RqMdHtAVKo3emlAEw6KUwGGZbdETRrpXgwU1m7hgYJGuprV7sEwlFlsy3oNmcYf/9jC/QNEiCbG9PDFgeePGnAS5daseqJwuGNotNYD71Kgk8tTnzmYktRFRyZlzenMBEaCCUedaNOZuANxqGQCVnvjfcfenC6vXxhnLA1TBopvvH5Pnw6zp6IXlgNgTpPnlXyUBQHo1Y3NEoRfnhtDr99pQOrnghz/+8yKXGKpVCDcLxIpTKwzHlxrkfHNIrMezpb5ry4clJ/2IdYk5BkXJWSr6Lj8Sj8xT+OYHY5CIri5LaWrqcRDCfQ06rCpZM68Cgu3nxrBAOdGty1uosGiVYpglDAgycQRzSeQpNJimQ6A0+gsvccB8Umv6WrqoFQAv0datYyVbJFaXdU2i7WapDD5mTv0GJ3RlAvFcIbjIPPoyAXC/DT4cVHTUI2uh9yKA5JlB4A+bHrDMSZcZnfGv71z/XgoT0AuytS1JRAyOfisxdNNb1Suxfa5VIcpNI0ettURLeHgEkrBYcDTC36QVEU3vkw17Th8qlGfOFKO1Y8EVbtfu6J2tYugXBU2WwLer6y9cqpZrz182kmdrQ5w0inaQx0qtGkEeNURwOMGilePNdM5uFtkE+E5mP3wniMx+Wgt02FBw+9rJ9dXA2Bx6OOdWfC3WLSSPEDb5T1NYc3Cps3imaV+ICPqjpZcoWhkApRJ+CBy+HgnV8/hEzMR6tBDqvNjzNmzWEfIqEKoCgOVj1RpsJUKRcyu1tMOhmokqaQhK1BHfYBEDYnnabR0ZSrdBrqN2BkyoXRaTfmVtbwi0+X8H/84ygsCz6EYykMWxw4a9Yikcol67pbFOhoVmA9mcayK4LnL5jQ0VyPaDwFTYVuOBqlCA2KOibgYltVTaQyqBPwIOQXV8cRA9+9YahPX3ZuV70RNOvYH3a1ShF4FActBjle/4wZ6UymSCs2Vxij0258NGLHYoWkCGHv+eT+CpIpmqlC5XMpjM95MWr14GRnA/hcCnZXGGe6NHj1aueRSGbsVLudzQpc7NMhnaGJbg+ZmxYnXP4YIvEkswgzMu3GsidypLVLIBxV2OblQnuT8TkvBru1yCKLYDiB3jYVmvVS+ELr+NmwDTctLgCkCm675BOhbPHYr27b0ayVVIzFm3VSkojbJUqJAC0GGetrLQY5/p+378HmZjejP27ctLhQJ+AxBR2D3VooZXUQ8rn40rMncL6LJOMIuZxEfkwlUhmm8SMAtDbKyZy1Q0gyrgYY6tNDJuZX3Fo6txKCkM9lurS6/THUS4X45N4qfvjJHDyBOOgsjZ/eWMSDGQ/+l68NotUgZw3OJHU8ABzmBpUPJkoZtjjw6tVOfOZiC1oNcnzmYgtp3rBH5LeL5c/t5VON6G5Ro6lBynrNBjobMPbQhzuTOa/AoT49EhW0MjzhOrC/4zhDURxMLQWgU4mQ3dj+o5QL4QnEsZ5I4/0bC7g340EynYFlzoeb444jsaJUqF2TXobBbu2m2u3f0O6T/TqYjQqsJ4huD5O8bpVyIYLhBPRqMYR8LhRSAZZdkSOtXQLhqJKfly+faoRJl5uXz/XoMGxxQCkXYsUTxfUHqxidciOVpjG54MOPry1gZNKNeqmAsR8hbJ8n+yvHYyueKE51NrDeG1v1cjgr7GAhbJ0zXVrW86tXieFbS+D6eLnH9nEjV3ThZwo61pO5go4ukwJ6tRhr0SRJxBMAADweBaNOxjqmmjd28xG2D9mmWgPkAqlz+NsfWlhfd/iiRS3mXf44dCpxyZ5uMYw6OWRiPprVYtyeTOHps02IxtOwu8IwNEjQrJVCKubjh5/MIZsFk1hjM/bmcyl0NdfDdLaJbCHbBwqbfSy5wviv3xlFJpst8nEw6WVo1EjxnZ9Pg8vhQCkX4s60G196pgPuIHsQRzz9DgbLUgCD3VrYnGFmW4pUJEAknmS2d+dXlYCjtb370TbdRrz51gjCsRR4PApffLoDy54Ill2PtPsvHz6EXMzH7Smi22pgyRWGSScFxeEglaGx4qaPlXYJhKOKSSvFC+ea8a2fTDHbinILsHx0NNfD5gojkcoU2Y/kt7E+c1ZDxvgOadHJKt7XJub90KlF+MLTubjO5gyjWStFo0aK2eUA1iIJvHql/YCP+GjxwsUWJJJpjM/7sOyKMOf3B9fmAAAztgBcwTh0CvYKxePAkiuMVoMciVQGI1O5hU+lXIjf3F/FyQ41rpxtPuQjJFQL6TSN+dU1vPJUO1a9jzwFGxukWFhdI5VxO4Qk42oEvVKEnlYlq09bV7MCtyYfre4kUhm0NdbjR9fmyzoIffO1AQDAObMOb741CiDXaVUlF2LJGYLbH0dns6LIp6nUlL6vTYVLJw3Qb5TXkyBt/6DpLIyaR+d/ZMqFSycNENXxcH/GjfmVNTzZr0d0PZd09aytY9EVRm+rktWnizw4HwxLjjBrB69XnmLvHnoUt3frlSL86VfOMPNGNgv4Q+sblRZ+iIQ89LQoiW6riNtTLrQ31ePtXz081tolEI4iRo0U33i5B59OugAOB+FoEnZ3GOlMFldON+L6mIOZZwu3sZIxvnNoOoueFvb7mkImBI+i8KNP5iDgU2g1yHNWFtNuXOzTweWPkUWoPUAmEYDicFAvFWB8zoub4w7mtcYGCR7M+vDiueObcFpyRZDO0BDwuOjvUDN+sHwuhStnmtDTqobHQ6xCCDla9DI4PFHQmSwa6kWgM1m4/VGY9OxbwgmPhyTjagi2CrV8i/nLAwZ8OunC5IIfRp0My54Ia1n85IIf/S1KJsH2wegypCI+fj2yXPbw9UTPo854+WoXmyeCYYsTf/ejiZwXRp+ebE09AAor5Wg6iw/uLqPVUA+NQoSPRouv3YMZD7752gA+Gi3XCgmq9x8ej2KqDApJpDJYdofxpec64fTGMLuyBrNJWdSZ7qhRqttwLIFwLI1Oo6IsWUl0e7hQFAe+tQS8awlW7Tq8EfzxlwZgmfPDagscee0SCEeR/Hh9863RR/OvMxfzfeFKO0an3GjWSiGXCOBbi+PqOSNa9TKSENoFlWL3OgEP18ccRc0dzC1KtBrqseRYgzsQx3c/fEji7F3Sa1QgFEnif/x0quwaNOukCMeTxzbpafNE8E+/sJY9/33hSjsoDgcDpIMqoQCK4kAk4OHWhKtsLP3ei13HdhztFpKMqyFKK9R621S40KNlzLNNWil+JRMgEE5icsHP+jOmlwJFFW+/9WQLfnxjqaJPU2EAYHNHigK4JWcIH99dIV5xBwhNZ2FzR/DuR7kS+/4ONeu1m5j348++PoibFlfRgzMJqvcfms7CsdHBK+8VFwjlEhyr3ij+6PN9oOnssbpp5f/O3jY1/v5HFnSZlNvSbWFCj7A/0HQWbY0y3BjLVVmXatfujuDftarQZ1KSa0Eg1DDDE86yBymlXAiHJwogi/E5LyQiPgKhBJ47LyZjfZeUxu46lRg8LoVhi4PxehbyuehrV6NJI8WPf1O8q4XE2bunUS3G5VMGJNNZLDlC0ChFkIoEuDnuQDiaxHmz9lie32GLizUWszvDCEQSeGWo5ZCOjFCN0HQWU4sBxuagMEacWgzgmVONh32INQlJxtUYj/yY4vh00ol/eH+6qELNbFTi2oNVaJQi1i2t+e1eNncEwxNOTC8FoVOLcWmgEaNWNxRSATOwSn2aSgM4gD1pR9hf8tdBrxbDU8Hg12oL4Pee64RR88h37qbFiX/46TSpaNxnaDqLTmM9jDoZY4Tb365GKp0Fj/doPB3HB5yJeR8kIv6WdZufq97+aBbTS0Gi3X2m26SE3R2BUSdDJkMjmabRqpeDy6UgEfGOtXYJhKNAzqw9yPy7sCqLBmBuUeHDETvCsRSEfC6eJn5Re4JJKwWHAzQo6rDgCOPG2GrR64lUBvUSAdKZ8rmVxNm7x6SV4oxZi9sTLqQzNCR1PETiSfAoCl0mJabtwWN3fimKg7mVNejVYua5L487EMf5Hi251xPKcPliuDTQWBYjrpDOxDuGJONqkMdVqF051QibO1LR36f083Z3GJcHDDhr1mDZFWE8A2RiPjMRFwZwpRBz9YOj8DoEQgn0d6g3TboCwKIzTCoaD5jTJzT4f/91HGfNWihkwIwtCI1ShEsDx3fVKK/dreo2n4gj2j04jBopznRp8eChB+tJGt5gHBqlCAI+hdNd2sM+PAKBsEtoOovuFgWWnCEM9RswMuUq26L24sUWZOkshvp06G0jflF7QeG97NJAI4R8LnPeKYqDywMGcCgOxme9Rb5d+fshibN3T3+LEt//8CHaGuuLttnZXGFY5nwwaqXoMSoO+SgPjkVnGDqVGElXpkxzWqUIAx3qwz5EQhVyvk8Hly9aFiNeIHYyO4Yk42qQx1WoMf/ppPh0woXppeLtXm9/NFv0+aF+Q9mNqbDZA1AcwJVCzNUPjsLrkEhlUCfgFQV1QLnHFqloPHgePPTirFlb9qBjmfMd20RSoXa3oluAaPcw8ATjrPeDJq0U3U3yQz46AoGwW4b69Lg57sB6Ms06vyKbxZevdhzS0R1NCu9lw5YCn7hgHJcHGvFuQVyen3OH+g1MBR2Js3cPTWfR366C0x9n1f2nFuexScaVLnQWam5kyoUrZ5pg1JAYi1AMTWfBAVhjxC883U7mqB1CknE1xnYq1EwaKUzPSMHjUUy74dLPC/lcJiAr3f89MZ9r9pCnkgktMVc/WAqvQz6oSyTT8Kyto7vEVJ3HozC3kkugll5fstK6P1AUB4uOEBQyIXvAN3l8E0l57RY9jATi6DIqcHnAwJwXiuIAAKaXgmW6BUiVwH5BURwsrIZYdTu/EgJ1jpxzAqHWMWml+L0XuvDhyDLrFrVCb2HC7imNuwt94s50aeBbW2edc9eTaQj5XACko+1ecWmgEX/7Awvra0vOcNHz0lHmzrSrLK5KpDKgOMCffX2QJOIIrPB4FJacYdacwZLj+IyfvYYk42qM7VSoFfrCFXotFX5eKRfCF1zHpYFG5sE4X6780B4sTu6VmNB2tyjxRC/ppnfQlF4HqYiPF88342yvgdlOUnjtm3VSnO7SYMmxBpc/zroNmbA32NwRTNsC6DQqMLWFJirHjVLt9rWp8LXPdkNRl7sVlc5Zz51rxvict0i3wxYHqRLYB2zuCJa9Eab5SCkOb/TY6pZAOErweBRWfTFoVSKsuOmyLWrNWimWXGHyQL5HVIrbE6kMjDoZbk+6WD/nCcTx+afa0deqJHH2HtGoEqPFIGO1yWjWSbHqi0JbLzqEIzs4puxBeNYSEPC4ZWPf7o6gRUcavREqk/eMK80ZEM+4nUOScTXIVirUNvNaKvx8IJTAS5cM+OmNxbKS01evdpZNyHkTWrmEj3szXmSzWQB60u3wgMlvRWY752zXXsjn4lyPDjZXmHUbMmF3UBSH8eYT8Cl8/qn2xzZROa6UalejkcHjCW9Zt5cHDKRKYI8obJLxV9+7B62y8oNKW5OcrHgSCDVMfrGDw6Hw0ai94ha1bBb4r98ZxRuvD0KjkR3yUR8NKsXt/W1KhKIJ1gX23jYVPnfBSGLrPYSmszjRrMDtCVfZtWjSSPHzW3Y8c7rxyCY/LUsB/M07YxW3RB/3+JSwOek0jQv9Ovzok3mWbaodJEbcISQZV4Pkq0tuT7sxueAv8oMDALsngg9Glyt6LX35agdevdoBqy2IYDgBX5C9RN7tj5X97tIH5tnlID6+u4JXr3bgxpgT/e1KXDrZCL3yaK8sVQtsN81KPlv5LQ+JVIZ1GzJh++QfbuZWQjA0iHGuR4f1ZBo3HjjwzGATaxOVvnbVIR5x9VCq3a3qVsDjHtlA+aAorEA82aGEVCxEl0kJTyAOnUrM6ueXzeY+R849gVB75GM3AOjvULPOtdlsFk/0G/CbByug6SyGJ1wY7DMcxuEeOQrj9ol5P4w6KaQiAYYnnOhrV7Mm6nrbVHj7o1nMrYRwpqsB/W0qUq24B5i0UnzhSjscvhiWHCFolCLUCXj4yfUFaBQiGDcWDI8ityddFeMsmZhPFjoJj8Xpi7FqyOlj31VBeDwkGVejmLRSDPYZ4PNFyramfvv9qYqfs9oC4PEo3BhzwumL4tWrnbj+YJX1vbMra2UrcsMTTgAo8hlJpDJ4aA+iRS+F0x/H3/7Qgk6jAlcKPKAIB4MzEMfUYoD1NU8gDqVcCKcvl2Qlvlu7ozAxrVeLIamrx0cFSfDv/CyMK6ebkMlkseR8FPCNz3pJErSE7eiWbV4ibJ3SBZUukwK/+niO+XrZE8HlAQMyNGB3haFViiAU8HD9wSoEXApfff7EYR4+gUDYAfnFDr1aDE8gzvqeZXcEyXSmqIMnYe8waaUQSwSwzPlwpyApEk+kcbFPh+h6btuXRimCTCzA3EoQ60ka9VIBbk24ML8awtNnmkj8sEtMWik4FOD0x5BMZzCx4MegWYtTnQ1IpmksOsOweSIwHbHEpz+ShM3J3hnZE4jjja+fg15BCikIlREIuFhcLa/iBYDF1RAEAi6SyQzr64TKUId9AGyYzeaLZrP548M+jlqArbrE5Y9BU6EyzWxSIp2m0d2S6xg0v7K26XsLfz5FccDhUOjvUDNeA5cGGkFRHKjrRbg14cLotBs2Vxi/HrHjzbdGYdvCHvK8WTthd0wu+PDmWyMVr6dGKUIglGC+JuXou6OwkisaTyEUTRatFtF0Fh/fXUY2m0WDQoQZWwA3xlZh3fBiJOR4nG6bdVIEI0nma6Lb3VGoWyGfi0BovUy31+6vIpOhwedRcAdiGJlygaazmFkm2iUQaoX8WC1sIBAIJbYVIxD2lo9Hl2FzhYvm4Eg8jWv3V2GZ8yFN05CKBAjHkrhn9SIST6JOwMOyJ4LRaTf+5p2xLcXVhM1p0cqwuBqC0xfDuW4tuBSQytDwBuNIJNP4+N7qkTvPNy0raNaxJxiNOilJxBEeSzpNw7iJhsg21Z1RdZVxZrP5fwXwOgBS77hN8gFXIpVBnYDHutUoX4I81KfH1GIAq94ojDoZ+3v7dUU/e9EVxkejdgC5xg+WOR8A4MrpprJEBPBoW2xhh8TNGkw8e94EjVSwx2fl+PDJ3WWEYym0NdYXbY8U8rnQqcTobFZgdNrNfI+Uo++c0u5oSlkdljcCt3yHobVIEmfNWiQ3ArwukxJ1Ah4yNLlZFZLXLducJRPz0SCvw8VePT65t0x0u0tKdatTieHeqJIp7IyVytBQyISgs1k4fTHGoJdol0Cofsqad/Xr0dOqgNMXhVIuhEwsYI356gS8oriBzLV7C0VxMFHS2EkpFzKViolUBm2GenxqcTCv5ePsvKfXce/IvlfQdBadRgVTvJD3zRbyuUimM4jGU2hvlB+Z80xRHKx44uhoqsfolLts7Lfo5aQTJuGx8HgUetpUGJnKPUvmY0YA6GlTgcejSGXcDqi6ZByAOQBfBPDWYR9IrVHYsWnY4sBQv4HpdmLSy/D8YDNzYzFppfiD3+rBL0eWMTzuwOUBA9ZTGTi9uRtTq0GOkWkXwrEUHL4oFp0R0DTNeGIVdlDhcIA0TZcFd0Bum4MzEMcn91eKuroCqNhg4qjc/A6SfJAn5HOx5FjDuR4dkqk01PUirEUTWHFHYXeH8dKTrYitp3DWrEWrnnRM2in5seYKxPDcOSPWwgmkaBptjfXg8zhYWA1h6CR7Y5SvfcZMzvsGhQ8nd61uvHSpFTZnGL7gOs50a+Dyx3D/oRdNWil+9/kT0CnFpFnMLsjr1u4O46lTTRAJuQjHU0W6bdJI0dZYjx//ptygl2iXQKhuKjXv+v2XetDfuQ6PP45kOo1Xr3Zi0RHCsifXPbG3TYX5lTW0GuRlPsSEvYGms+hrU2HJ8WibVyCUQH+Hmpljk6l0WZytktchEksyMfZx7si+l1wZMGDJEcKqJ4pUhi7qENlkkiIYScDujcDYUPvjYGIpAJ1KDJs7jFeeaseqJ4JldwTNWikaNVKseMIkEUd4LOk0jRlboEhDg91aNGqkeGgL4PLG8z1he1RdMs5qtb5rNptbt/p+pVIMHo+7pfcexa5QpX/Ts+dNjBHsjbFVpirq81fa0dOqZt43tejDlC0IlVyIywMGRNfTiMZTON+rRTiahMsfw/UHqwhFU7g14YJSLsTpE5oiT6x88PDy5TbMLa+VtcgGgBNGBd58awThWApALjC8Oe7AxX4DayXd7Wn3sTAM3o5ut0pfmwqJZBoufxw2VxhXTjeyXq+hk7mOaTP2IKQiPs52a4u0UW1U67g91aXFejIDhzcKIZ/CyY4G3Jtxw+OPM9uAUpni4CaRysDujlTt37QV9lq7+YeTeqkAo1NuuPwxXDnTVJbIvDvNxcU+HeKJNO7NeNCkkeDSqSb0tlWndqv1Gj973gSVvA6eYBxzy2s4bdZg1RPBwmoEGqUIkjoelhxrrPNzLWt3P+bcPNV4TqrxmLbLUfgb9oLtaPeda/OsY/eu1c1UzNtcYdyzevE7T3fA0CDGxLwfI9NuPH/BhP/4lbNlP7NWrkMtHOfTZ5vx4Z1HnWxTGRodTbndDEq5EOp6UcU4+4pYgA9H7OhtU0Gtrv4E0X7Ouduhki40Ghnq6+vwf/3zPaaTcOF5t8z50KAQ4WzP/j+T7Kd2f3VrCTfGVuEJxNGsk8Ltj2JiwQeTTobxOS9Gp934k6+c2fQYamFs7RWP0+1xOhdsiIUC1sXaq4PGmpiX9pud6KPqknHbJRAo7/jJhkYjg8fDblxZq7D9TRqpAG+8PojhCRestgCzwtkgETDvtSwF8Mm9FXgCcZzr0eLOlBtnzVoAwJ1JNzRKEdob6yES8hBdTyORyrB6YgG5IG/JEYLLHytqkT0y5YJOJYZeJWIScXkkIj5mltiNgScX/GVNKQ6D/Z5st6rb7fD02Wb85v4KmkxSuPwx5toVkkhlEI4lIRHxsRZJYOyhFw/twao1Ba7WcWtzR/Dp+Cqi62l4g3EM9mjx1k+nygK5/NaSQh7ag/um8YMIEvZau/mHk3yFgMsfgz/E3uE5up7GjD3XBRoA3r8+j3gsWXUVHNWqWwBw+aKYsQfhCeR0+941tqCqmfWz+6XdWtRtIdV2ratZf1ulVv6GatIuRXEwMe9nfc1d0AiHojh4+VIbrLYA0zCgTsDDf3v7PtKpDPoKYoFaug61cJy9beqiGP3Jkwb84JM5XOzTgcflbhpnz9gCuDxgwIVu7a7/1mrS7X7yOF3UC3nobVPCE2SPOSYW/FDJhOhqqj+0Y9wNNncEf/eD8bJ7/EuXWjE65cbZbi0GzVp0N8krHkO1ja3DfD6rtnNx0FAUB7FEinWsxBKpqnh+P0w208dmuq35ZByhHNNGW+7CMvb8v23uCP7mnTHGG2HJGcZZs5Z1RejqYBMmF3JJM4mIz3hilVLY7TCRyoDiAE/0G7DgWIPVvoZLA41F1XKBUAKnujSwucoFS8zZd05vmxqXBpogquPCE4hX7JjmCcSRzQKr3gicvhhzvd/4+uCR6x61X8wsB3FrwsWMI5szzHpzWk+my7ZvE40X09umxtVBIzzBGDQKEXSqyt3+8tqNrqcwt7IGIZ+LZq2MbLneIqXzfyXdhqJJVtsBol0CoXoptCopRaMUMf5jlwcMrJUN53p0uD7mgFzMh5HEAvtGYYz+3Q8fIp7ILTKZdDKma3gpnkAcEhEfPB5VdYtPtc4zZ4347++Osb5md4bhbVHuazJuP7k+7mS9x9tdYRjUEvzBSz1keyphy9TV8TftplpXx0cslmR9nVCZquymStgb8sm3tz+axZ9/+w7evTZXNDEr5UIEwwmsJ9krqALhJBobJAA2OnCpttaBa8kZhtXmh80Zxu0JJ0amXBjqf1TmnUhl0NlUDyG/uAyYGAbvnmyWxs+Hl9DXrkKTVsL6Ho1SBLGQBwGPy1yDRCqDX962491rc0eug9ReQ1EczK2EisbRZskjpVzIfE00zk42S8My58PYrBedzfVb1m4ilcHcyhr+9kcTePujWaLdxzA84dqSbpc9EehU4qLvEe0SCNXPUJ+eNbbKN2cQ8rlYT2UqLh55g3FYFth3LhD2llVfDFOLuXMdCCVAcTiP7XQ7a1+Ds8K8TdgZWrkQ7U1y1tc0ShGmFgPg8WrvcZmiOJixs49ltz9xqah+AAAgAElEQVQOrVJEEnGEbZFOZ6BvYI/PDQ0SpNOkecNOqMrZxWq1Llqt1icO+zhqnbyR7y9u2bDkDGHU6sGM7dHEHAgl0NYor/hA5vBGoVWKIBLycK5HB9NG19VCSjtwAeXJucIKofxnuprr8cbrg/jMxRa0GuT4zMUW/MUfDpEVv10y1KcHTWfxs+El8LkU6/XqaKoHjVx1S3+HGpcGGkFRHCy7Ixi1evDmW6MkqfEYHN5HzZ4DoUTFANqkl+F0ZwPR+GPIN3VZ9Ubx69HlbWnX5Yth1RvFL27ZiHY3IddJtXj+r6TbZo0UX3mhi8zPBEKNYdJK8cbrg3j+nBEmnQyD3Vq88lQ77lofdb9zeitXX7U1ynH/oQcUxTnIwz525OLzEWYOTqQy4HIpSET8TeNsjVKEG+OOwzjkI82pE5qK593uCuPhytohHdnOsXnCaK5wz27WStHfXp1+u4TqhaazaNZKWcdKs1ZKdk7sELJN9QgzPFFcnlzYtQnI3fxT6Sw0ShHrltEWvQynTmigUYnxP382jVSGLurQatRJwaU4uD72KDBgS84BgCcYx5XTjRDX8XCxVw/9RgBSuJ32uO/F3wvygfjwhAsP7UG8erUTTn8Us8trMKgl6G5R4l8+fAiazkIpFxZtWxHwubi1oZnhCRd58GbB5o7g5oQTrQZZ0TiqE/DKtvXl/BP16DEqiMYfQ6FurbYAxHV8fPO1Adx/6MGsfQ2GBgl6WpX4wSdzEAl5CIQSzNaq157rxHvX5gGAaHcTLEsBmPRSZgvbZrqVS4ToNSnQ3VxPtEsg1BgmrRRfff4EnIE4RqwuhCIJfPm5E1h2R7DoDEOrYo/5tEoRUuks2hvryUPVPjM84UQ4liqag4ctDrx2tRNfuNIOhzeKJWeY8fMbtjiY+HpiwY8vPdNBrtEecqpNhS883YG55WCRj+KwxYEn+vX4v9++jz/9ypmaiS3uzvnw3rV59LapKtzjBTAbyTgnbA+azoLDAS726RBdTzNjRVLHA4cDoqcdQpJxR5RcFUSw6HtsD1+/ebCC1652Ml228gj5XBh1Unz3VzPQq8XMazfGViET83GxT4/rYw4MmrU406WBJ5AreW5trMe/fjxbdjwmnQzzjhD0KgmuPXAAoDHUp0eLbuteT6SV+9ao5BkIAN/79SzOmrVMQjXfATdDZ7GwGkKXSYk6AQ8P7UFyvkvIV5pyKA5+61Jr0TgatjhwecCANJ3FsivXldJsUqLHqABAblBbgU23/S1KUBQHFMXBT2/Z0NmsgCcQx6kTDagTcHF9zIFZ+xr62tTgcikMWxyw2gJEuyVYlgL4+x9Z8PwF02N1WyfgAcgy54+cRwKhtsjPf4FIAu7AOmzOMKLraVzs0+HfvNiFsQU/RqfcZTFfa2M93r+xgP/0tfKOqoS9ozA+H7Y4mEXuYDgBT3AdoWgCs8tBfOFKB2aWArC7wjjTpWGSQy+cN5F5eR/obVHgZzcXIBHxmWciIZ8LisNBMkVjxOoBRQHNDdWdkJu2BzE264XLH4NOJcK5Hh0T8+fv8ZkMTTRE2BH5omk+l0KDQgQ+N7fJkkOKqXfMsUrGHacHtEpGvsMWB77yfBd8a+uw2gLoblGit0WJ3tcH8emkC9NLAXQ21SOZzuB7HzyEVimCzVlc5SYR8TFjC2I9kcaNsVUI+Vwo5UKMz/nQoBRDUseDRMRHIJRgbmbZLDC3vIa55Zzp+itPteO9G4vwBOPoaVFiqF9fsdOIzR3B8IQT00tBdLcoMNSnr5nVqcOkUOs0nQVFccDhcMqadcjEfHxuqA12Vxij024I+Vy8erWz6sbKYY5fuyeCD0eXkUhl8PKlNoxMunGuR4dEMg13MA6tQoQMDdy1eqCQCjBjC+CVJ1sP5VhrndJrTNNZLLrC+MHHc2W6/f2XenD9/irC8SQCoQSG+g2QivhVpd3D1K3NHcG9h254gglIRHzcm/YUBeYmfW7Ozes2Xyn7xuuDh3K8BAJh59jcEXw66QRAQSrmM00ahHwukukMxmY9+P2Xe/Gt9yaK5gFDgwQnjAp4g3H8p6+drfr4qtZj+cL4nKazTBzd167CWiQBbzCOtUgSc8trmFjwlSWHhvqJd+d+YNJI8erVTkwvBiDg5Wx66oS5x+T+DjXGZr1wB+O4PGBAf0HH4WojSWcRiaUAAAI+DyNTLgAo2g1D7vGEnUBRHEZbvI1t9YlkLi6PxFI1PzcfFsciGWf3RPDL0WU8eOhFf7sK/W2qY9EpaqhPj4/vrhStfvK5FLqa62E621Q2aPJVKd//eBYfjNgBlG9tZfteIpWB0xcDRXGgkglxvlePWXsQp7o0aNHJ4PBFcbPA4yKRymBxdY0JLmzOMD6+u4LXnuvEicb6okAwX42U/xuWnCF8fHcFb7w+WPUBY7VB01nE1h+1pKYoDrMi+6nFAa1KDKNOjmGLA+5A7EAn1dLfVfj1YSdjbe4Ivv3+FIBc9YAvGIdaUccE0GpFHSQiASLxJLQKEbpMClw+aSD63EOGLU5W3X54x44WgwwGiHF9zIFEMo3PXGg+dO0C1aHbN98aRZdJgbVIEtF4Cm2N8qIFlJFpNwbNWpzt0mDFE8UzZzUY6tMR7RIINUZ+vJ/r0WFs1oMukxKpDI1LA41M0q3JJIXTl/M7LZwH7s94IBML8NXnOg/5r9icx82p+bmXbe6vtofE0vg8kcpgLZKEXi1hrGMKq+YEvNxulZMdavzzL2fQ1ignC9P7QJtehunFAJLpDMbnfDjXo2MWsPNJ7b9f8FXtltWxRT9uT7jgDeZ2vnA4wPleHeKJ3BxwoVeH5wabq/LYCbVBJJ6ETiXFqjeCh/YgmnVS6FVSuALEr3mnHPlk3N05H25ZHNCpJWhQ1OHWhAvzjhCePt1U1Ssbe0GpD5PZpCx60GILTFZ9MYzP+Zmv2ba2JlIZSOrKvYYuDxjw7kezRdUrD2ZylRilv8u90WUy38Y9kcpgejGA967NF93kSn3v8u8lvlDbh6I4WChoST3UbyirksutuhowYw/ir/91HA31dfsa8JUG1/3tatjdYYxaPdCrJGgxyPCDj+fA43LQapDj5rgjl4z9+iBMB5RQH55wwuWPob9DjWQ6g1VvFK0GGaP/VU8Uq54oZGI+rpxpBrJZos09pHTL/Wa6XXaHMT4fwLd+Mr3vCbBS7Q50NmBszouphQCMehm4HODBrBcmnezQdJtIZbDoCDHaVcrqGN3m596RKRee6DfgYp8Onz1vPJBjIxAIe8vwhBMAsJ5MQyLiwxOIs86Vljkfrpxpwq9u24rmgRl7dW/vzycbAUCnynW4vDnuwJ9+5QwA4MP7K3hoX4PTG0WnUYGnTxnQopNh0RkuTuD16w9sDt6M0vi8u0WJvjYVllwRuP1RZp7OJ011KjHU9XW4N+NFX4cankAcf/lPd2uikrGWMGqkeHLAgHszHgC58cSW1J62BavuvN+f9+PvfjBeFhud69HBMueDTiXGixeMaFKzd8MkEB4HRXFg1Mnx7q9ny3T26rOdpPHPDjnSybiJpQD+4SeT+PJzJ/D9Xz9ktk7aXGFYZn3449cG0HcMEnKlPkyVsLkj+Kvv3UOXSVlUCZdfncvika8Qnc2ttqwn0nAH4uhtVSKdybImzvKdVEs7rubLpfN4AnFIRHwm0cbme5eH+ELtDH2DhJk415PpiterUS3BvRkPEqnMvlUiVqp6vDrYDIVUCAD42fAifv+lHqz6InB6YzjTpYVWJcYvbttyVZjd+1vFw+NRmFsJMUnpaDyFJpMUs8truDrYDE8wXuTD8bPhRZh0MmKuvIfktvQoseQMPVa3BrUE721szdrPKtpK2n3pUiuMOhluTTjxzJkmPH2mGTO2AJ463QSZWIBf3LZBJhbgyX2uaMjrFgDCsdT/z96bRbednneaD3aCAEiAJDYSBDeJFEWKWksqlVSb7bLbS8XpxIk73WN3J9N90Sdnrvqix3M6Z3Izk+kzp6/mzLjndJKZzjKO0/FSdsqV2FWuKlVJKu0liYtIifuGhSRILASxzwUICCAAauMm6n3OqVMilj8+fP8fvuX93oUmq4n+0UUSyVRZ3X5yexa33cTXzkguIkF43sitlSw1OvyBKIFgjOOd1opjZSC4VrImc+7hDbpvJcrnowu8eqwRly07/84vRHj1eBMPZleYXYhw6c48sUQKvU5NV4uFn1+aoKFWz4fr6SXg4Tj922920Oky77oxpXB9PuEJ8Sd/eYNEKs0rR5x87Vwrc/4I8wsRmu1GGhuM/OijB6TTGXQaFWd67JzossnB9DbQ22Lhe989ydUhH/2jiyVGbe/SKv5AFEeDgb7WvbGHvDO+xI17vrK/92QqzfFOK80OkxjihGdm2hsuq7MZr3jGPS3K3W7AdnJj2Md3/skhgqtxOt0WtGoVRw7U89ZpN0qlgquDXqb9L4Z4HmeDVVjdyVStwVFfjU6jIp3OcH3Ii1at4s2TLox6DfMLEYx6DQeaa/nOVw/x2rEmRqbLG878615wOSpVXLVa9ESiCRZXonlD26EWc9lrdrktsml8QtLpDAeaavKhKf5AtOzr/IEo9eZstVtHfTXGajUTnq2vopjz3NFpVHmtASRTaUamAtwc9vE7bx7AtxzFsxjFs7hKMp3GF1ilvamWG8N+/uQvbzDl2/rf8JQvzF+9f5//8F+uYKvT89ZpN7fu+zl60EpbYw2h1Tj+5Sj9o4vEkyn6Rxe5eGeOdDoj2twGzvbYn1i3pmoN9rpqBieXyr7+WdioXVO1BkuNjnl/hP6xBf7V1w+zEokRT6TyeVoezC7T3VrH4PjStur2hx8+4I/+NKvb14410thg4BeXJ/jKy63U1VSJbgVhn5FbKwWCMawWPbFEinqzvuJY6VvO5ovMzbs6jYqOpr1XWXHaH+bSoJefX5pkLZYilkjx6+szpDMZ+g42MDi6xNBkgGa7iVQmw7m+Rr5+vpXhyQDjcyskU+mSa8YSKUamlvlPf3NrW8bgpyGdzvDJujExnc7w6e05fnFxgvmFMMfWCzfkDHE5tBoVCmBsbkW8UbYBt9WIy2qg2W7KG7WVSgXn+hrp7agH4Nqgh5sPFna5pVnHk8t355j2lV+nzy9E8C9HxWgrbAmT88Gyj09UeFx4NPvWM06tVuJ2mJiYD/HhjekSd8qvn2tldS3J7ELkhcgf9yhyJ6vZJP9w5EADM94wRzutNNuMhFbjfPL5HMlUGqUC6s16BseXsFr0VOs0/OTCKN2tdUUedTlcdiPpVAatWoXLZqTVWcNPPh4teo1ep6atsRbIhrD+4IP7nO1xlM17p9OoONsjCWyfhk6XmTM9duKJNGmoeL8i0QR9B+qpr9UTXI3z6xsz3J9d4cxh+5aEdyuVCoanlvOu/4vLa3ztnBPv0iojU8v0dtTT1VLHvallrhTkC8v9fh317SjIbEvI8kavp9xnfu1cK76lKO9dnuT14035pMq5MB8QbW4XbpuRP/xWH5fuzFfUbYvDVKLbGW+YCU+Y92/OZnNlboFOPIFoXrvxRJL6Wj0rkRizvghp4J++3sFf/8M9TnTZirwych7Zv/PFA/zVPwxvu24nPVnd5jzh5hciPJgO8M3XOkS3grDPyK2VcmlFPrg+zYkua9mx0llvoHo91UhwNYbLaqLTVbsLra5M/2SAKwNepr0hTnbb+MXFibLhdxfvzNE/ushvvXEA39Iqc/4wh9vqCEUT+bVErgppzpjlC0T5jVfb+fj2HG8ca9z1PYBSqeD+hsPsWCLFlDcMKIgnU/kiXLkcciNTyzRaDZzra9xzRtT9QlODgRqDjr/94D4Arxxxcm2wOOz7+pCP//43ejh1sGHX2hmJJdDpNDjqlUyVOTh32YycOmzf95FgwvajVqtwO0wV1+BqtYp4PFXmncJm7FtjXDKZZtYfyZ+m5bwqchU+PUur3H2wQPtXuwnHkhh1+7YrHovcyarLZiyZbG6PqHj71TZeP95EOJrgykBpDpK3X20vynORQ6dRoUDBrREflhodSoWCS3fmeanbxupathKl3aKnxVmbr/yVu24uxGyzvHfCk+G2GfnCCRfX7vnQaVXcLnO/GhuM/PyTMU5120uMCdcHvfzht/qe2SA35QtxusfOOx9n7/m5vkbevzqFQa8hEk0QT6YYmQrQ295Q1h16yhPmu1/t4cawl/vTy1sasvzp+gl16WeGGJkK8JUzbrxLUT66Nctrx5tYDq3hC6xxqEW0uZ30tliordYw7glzez2EOodOo6KtqYYf/up+Wd3eHvFzpsfOF048W+LiKV+Y//Kzfl452sTPLjz8jUC2UtnQ+CKehQhfPuNiYTleVkezvgjf/eohbg77t1S3n1TQbc4TDuCbr7Xz5+8O8kqvg7VECs/CKp3NZs73ScERQXieyeUg+2zQy5unmglGYpiNurJrMrVKyYc3ZvIGrXcujHF4l6srFhZfmPKF+T//7k5+7T69bmBw1Ffn1/AbU6AsrkSZ9YdptpsYHF8iEFrLH5hBNtfoxTtzQNY48Vm/hyargcsDPjKH2fXxL5dCZCMum5Eb93xA+Xypt4b9tNqNu97+/Uiz1cjYXJgWpwnv0irpTPlUPAPji5j0Grp2waB9Y3SRX1ycxLu0yqlue9nf+9kjTnrc5aOMBOFJUCrhQLOZa4MPK/QGgjEAOprNKPd1vOX2sW8tUFVVaqJrCeYWVosSb+ZOyWZ9Yepq9dwdXeRXV6aw1VVzpueh18+LmI/slV4HPy84fcwRS6SYnA9SY9ARjZXPQTLnD3NrvVhDrq+tFj2tzhpurJfVDgRjZJqyhpgmmxG1SkmDWU+NQYdnMVKxUMO33+x47Lx3wqMpzFPishm5dGce3/r96nCZGZ/NntBWyjdzbdC7Bca4CLO+cD7Hi61OT6fbgj8Qpa2jhlqDDqUS+sfKhxjOLYT54PoUWq2Kr5xxP1Nb4OHv/YEntGm4tUGvIRiJYzZqsZn1KBUKvvFKKy12k2hzB2i2Gmm2GjGbtFy8PYd3KatbQ5WasdkVoLJuI2tJrt3zPdOm5fKAh7NHsx6cAPFEsmjMy2kXlBVDRkZnV1iJxKmvrWJkLsgBh+mp25PTrScQLfGsyOEvKJazFFzjK6fdDIwv0dNWx2+eb8dh0T/15wuCsHfIze1qtZIfXxhDp1XyjfNtTM4H83N8zksMHubaBHYt99iUL8yFO/M8mF7G0WDgkLuWaV8kHxb41hk3yWSa3vWiBYWebtnUBFW0OWtZi6c4ecjG/GKEw211eW/l3OvjiWQ+FYZCoWB0doXR2RV0GhUNZl3Jd9/J9WYuhUi5Q6ZDrRZmfGEia3ESqZQUNNth2huNLEetzPkjFXNijc8GOeAyE76f4OQOesjdeLDIrZGsobZc5dQWhwmXzSiGOGHLUCpheHKJt19tZ9YfYtYX4cQhK01WE8OTS3zjlWffj72I7FtjHMDRg1aabGv87EKxx5VOo+Kbr7eTzmS42u/l2MEGfvbpODeHs+7G96cCFUun72da7CZ8y+VzjHiXonzj1Xb+7J2Bss/P+MLUGrX5yk+5PEn+5SgNtXqcVgM97Q3cm1zky6fdRZ4rjvpqtGpV2esWFmoQY8fWkk5nONZej1aj4t5EgKGJJSLRON71zXulfDOTnhCDU8s46qqpM2qf+HOVSgVzCxGm1xc2b550lQ1B+b0vd2I1R8u63dvMeowGLYlEmqtDXt69PEF3i+WJf6+FFTHP9Tn4+afjJQVMcuSKjjyYWeGPf/+loiINos2dpa+1DrVKmdets97AndGFR+aUy2RgJrCKu97wxPdMqVQwOhvk/FEnV+eynr5WSzUfXCtNg5DVrr6sdpsdJtRKJeFonL967x4drlpeP9r41Lo91GLGbTdhteg31S1QVruCIOwvxuaCvHd5Entd9fojGRrM1fSPLpYYc3LG+t0oilUuJYTDkh033XYTZ3rtZDLw8ytTZatnr8WTmI1aEsk0yXSGS3fmK4a0vnnSxVunmwlG4lwb8uGoryYSTWDQa5jyhJleCNPcYCwZW3dqD5BLIRJZe3iY3dFUy9jsMie6GmiwVPPLz6bKvlcKmm0vBp2aL51u5tbIQtk51mbRc/H2HN2tFpQqBcfb67e9TdcfLPBn7wxUrJza017P68ebCK0mtr0twotFrUFXEsmm0/h586Rrl1v2/LJvjXHpdIZgOI5ncbXsSZJ3aZVmm5HfeqOde5MBXj/uIpVO819+2l9Seel73z25J0qhbzfpdIbuFkvZDWRns5nmumoONJsf6UofS6Ty+YhcNiPNNhM/vzjOrC/CoRYzS6G1onsSCMbo7agve93NkooXhjUIT8/hZjOHm82o3+xg0htkORTn+pC34j1pbazh6qCXifkgLU4Tp7ufPBfF2NwKzQ4Dr/Q5mVso7xU5MrWMqVpb1u2+3VWLd2mVOw/8+cXGlCf0RNUzZxbC/OziBJOeFQxVWsZmg/kCJuU+M1d0RBLd7w0KdZtMplmNJbl4e66ibq0WPQdctbz76QTzCxE63WbOH3n88Mx0OsOpQ1buT6/gqNfT3VrHhCdUWbuG8tp12438/afjD3XrDXHpzvxj63baH+Yv/3EYyJDJZLh0d57FlbVH6hak8I0gvAjkCsx4l1Y52W3jxpAPq6W6ZKyCh8b6N05Yd2RsKDQa5dqZo9aoxWjQ0mQzUK3T4AtESaXKhwbG4kk63RYSyRQ//2Q8H9I6VWFMDkbitDpNgILe9rp8rk/fUhR9lZprQz5W3Il8eCywrRW5N1KYQkQBdLfW8eOPR/mdLxxkeGqJu6NLuOzGsnPboRYZ17eTLlctN0cXabGbynovtjbWcHXAizewhtlUxa3RRY53bJ9B7saDRT7f0A4o9nSt0qmIJdMcba/btnYILybB1fIpWEKr8V1q0fPPvjXGqdUqEql0xaof47NBjHoNF27N0eI00dZYy5Q3WFZg7302RUOtjpcO7f98UJUKJpzvcwLwWp+Ti7fnSp7vdFvyxrjCxxUo+OnHo7z9ahu3hv1oNGpsZlXRgiyWSJVsJHUaFfa6al7ptZcY3TaGNRxoqtkTZeqfd5LJNE31Rt465eL6kLfi5p5Mhgufz62HfGSY80dInm/jaNujJ/0pX5hb9320N9XirK8mk4GJufK/0RlfmL4DDSWnxYYqNd7FCHqdBoupqujkb7OQjULNDU4vc23Ii82ip0qnYsYXJg2c62vkyqCHM4cdZMgw4w0XhfZIovu9RzKZrZiXG5sq6bajqZaffjwGgL1Oz8jUMlcGPPybb/Y+Vtj1lC9Mg1nP1UEfXzrdzKw/zPhsZe1+8XQz6VS6RLtajfKpdTvqCXG5f56DzWZWInFmfWGOHrRi1Gt4//o0Zw478iGzNoseXUFImmhXEPY/OQ/eXH41tSqbxGczYz2w7WPDRo+z1481cW9yOd/ms71O7HXV/OjXD/K5OL902s3dCtUqfctR1ColGch/p808o2d8Yeprqognkmg12XHx9GEHcVOaofEl7HXVWExVJZVJdzIMtDCFyA8+uM/XX2nlB78cLogiMZRdJ6tVCv7sF/eKUu0IW8uJjnpuZjK8edJFIBRjfiGCy25ErVTw0wtj+bn3g2vTNNuNpNKZLS/qcG9iiXAizd9/Ol7xNf5AFHtdNX0HrHTvsaIswv5gpkIV6kqPC49m3xrj0uk0dx4s4LKVP0myWfS8f3V6vWJRiKsDXr79Vifn+jJFVZcgWxZ60hPk/Wsz/E/fPbmv80PlkgBXKpiQe/7TO/OMzCzjrDfQaDUwOrvMq8caicVTTHpCJblJUukMZpOOuw8WsFr0/NYbB/hxQan2y/3zfPO1dma8oYeVEH1hPrw1S4O5muuDXtpdtRw72MD3f3yXaCx7+rOVydmFLEWJoE82E1yNMeML47IZabIa+cnHo5w/2ojVomfWH8GzEOHmsA+NWsnhZnPFcIlcSIqlRsdrx5xEVpO8e6lyWKjLbmRhOcpnA56i0OdYIpsbJpNRcOqwjRl/uOjzNoZsFG4COly1WYNKv4dGm4FMOsFn/Z5s0uj16pNnDju4eGeOKp2aL55qJhSJM+kJ8dZLbinQsIfZmMA8vBpnyhvCWW+gxWFibjHMS4ftRbrtO2DFs7SKzVyFw1JdcVzPaffEIRtvnGjiv747BFDRC6/ZbmJ0eiVvtC7UbjKd4Uyv/Yl1azXrubKu22QyzZWBdd16i3Wr06ioN1dh0GtJpdO47SYpfCMILwBTvjAP5law11UT96Y41W2nwVzFF081E1lL8OZJF8FInBl/mDZnDQa9hnQ6s+2eX55AlP/0N7fyBxCTniCX7maNYZOeIGd7ndx54KfTnTUk5bx7FpejFcPvW+wm5hYiJNYPY2DzKAurRc/gxBKdbjP2Oi22uuaScNY7DxbyVdML9wG7EsLrDWNZTRQZTy/3z3O21wlksJh0pDIZRiaXmV9cpUqr5vs/vsu//a0jYpDbJk4caACFgjvrBuJ0KsOFO/Oc62ssKaxxfciH4ps9nDywNQa5zx8skAI+H/HjXVqtqHOX3ciJLhsNJt2WfK4gbKTFYSobQdfirNmF1uwP9q0xTq1WYrPocTtquHHPV3IaqCsI3YHs6deD6WVmfUG+ca6Nz0d8eJeixBIpbBY9/eNLnOq288trM8z4wvs6n1zh6VylxceVQQ8GvYbPR/xcWTeWfOXlFsbngsSTqaLcJOf6GksWPf2ji5zvc3Lh82x1K41KydJKlLYmM+98PPrwtesGkrdfbefHHz3g4u05zvTYGZleLqqqtRXJ2YWHFGrgZ5fGCEXipJJprvRnvcaUCkru6dUBL2+/2oZOqyKZTNHTWofblk1On05n8iEpgWCMBouBW8P+TcNCD7ktvH9tGigOfYb1/F8WmB0JF1VJg+JQvCl/cU6aSU8wn1cjZ7gofH9hhdK7MAQAACAASURBVLa1WJL3r07xP/zuUf7ga4f2rQF+P7Fx7PrpxQlmfCEm5oPU1VSxupYo0e31IRVr8TYUQHWVisMtdTjXcy1tDKdy2w3cn17Jv7+Sdnvb63jv8iRQqt0Zb5hkMr3luo0VVBac80dYXF7b94dHgiBkmfKF+fj2HJcKqirnDPW/8Wo7n9yezVcrN+g13Bz28e9+7/i2pmDJHSgMTQTodFswVKl5MLNCLJGkxVFDV4uZwfEFEqkUBr0mn78u9/+5hQjNdlPZMdZqqebqoJeT3ba8UaJclEXu9VVaNfZ6FdV6Db/8bJJOt6V8tWt/mNGZ5aLxdafD+9PpDC/32vng2kzJ45f75/nnX+5iaGIp73FdpVVzc9jHiS4bV7egwJZQmRMd9aQzGSbmgswtRLJrxQpFo24N+6mp1qJWKmh7ykJNs4thkmlYjsRZi6eYWS98VknnxzqtWGt0NL8AqZWE3cFmqS4/JpulGNjTsm+NcWtrSez11bx7aZy3X21nfG4FfyCKo6GaOlMVv7xamgh1xhfmlaNNLAdjOK1GTnbbWVqJ0mQz0uEy89MCI9FO5pLYLSotPi4PeAitJkrCrOYXwjRaDXzy+cMN5saJKuclEgjGSGego6kWs0mH1azHXlfNwFhpguFYIsXE3AqvHm3i41szJFMZDFUamqzGoqpaCl7MKrjbSTqdoa/dyrsXp9BqlJzoshOLJ1mLp8vep/G5ICNTAd4+3857V6aoNegIhGN0NNai1apocZhQq5TotSpm112ac6e9ufA6Z4OBg81mfvrJGN0tdRVPuWuNOgbHlzCbdPmJQadRce6Ig5mFMJ/e9bASLp/bYK3AcFH4bwD/cpQjHfU0mPW8fDjrTSSaer7I3a8Drlo+vDHN0QNWVteSRNbKL5on57O6Pd5pxR9YYykUw2Uzotcq6Wq24F1a5USXFZVSxaTnYWjqRu06GqpxWU385MIoB1wV8mvajei1aoKRWFndXhn0srASeyrd/sar7Vwb8uY94Zqtol1BeBEY9wRJlsmvBjC7EC5as+X+f7nfi/vN7Vm/livOYNBr+GdfOshKJM6UN8zffzrBqW4Ht+8v5L3a+kcXi/6/cYy1WvS0NdYy68vmhlMqFEXj4OX++fW0Kgom5oNFxqqvvdLK/EIEk0FbMZzVs7DK8U4bJoMWvU5NOp3ZlfD+NoeJZrupaA7JFaL4bx/cL5u4fy2eZDkUQ61W5tM3CFvPqQMNKBUKbg37iCdTm4ZG/+OVKQx6NYsdDXS11GLSah7rM9RqJXfHA1wb8jI2u0LvgXrGZlZoshmY8oZKfhcuu5FjB63YaqrEECdsKzeGfPnxpvBA4MaQj99768BuN++5ZN8a4wDCqwmOdDSgAEamAhj0GobGl+iscMrV4TJzbcCLL7CadZ+fD+GoqyKZBF9glTdPuvj41mw+RPJFLCm+FI4zNBEo+5x3KcrXz7dydeChu3bulDOXEyT34+3tqMeo12DUqxmZCmA16/EHIgRCsXyuk8JFpS8QpXPd6DLjCxNPpvJl6c/2OslkMnQ01W668RRD3dORC/+7cGeOg81mrg36WKhQddcfiGLQa5iYD9I/ukg8keZUt52ffDzK2+fbcNlNTHtCfD6yQFtjDVPeEOl0Ju/tY6/TYzHpWFpZ5Z++3sHi8ipuuwnv0mqRQddQpSaZTHHmsIPQapxjB62o1Aq63BY+G/SyHF6jy13HvYnpiu201OjwLK4W/Rugu6WO3/viAdHKPqC3xcK//PphItE4t+8vPlK3kbUk8USa2yP+bPh7r4NEMoPJoGVyPoTHtEqL8+EGKaddU7WGL59xc33Qw/mjTlbCDTQ2GJjxhku029hg5OefjPHW6WbOH9WxFk/hbKhm0htieHqJg6467o4uVWxnJd0eaqnjq6eb+frLbtGuILxA9E8G+PT2fD5kMzeXggLWc5+W497k9oVfbizOYKrW8LtfOIg/EOXDmzPEE2ksNTou3Z2jw5VNVZHLX1f4f41KmV8fWGp0jEwFqK+tQqlUotOouHQ3a5SIxZP4AlHcDhNV60a0TreZ8bkgDWYl5482MjkfxBeIctBlIRyNVzzo++TzOYzVav7tbx9hbGaZzwa9ALQ6ds7L2NVg5OQhG9eHvCRSWU/qVCpNIFT5oCYSTXCmxyGGuB3gREc96XSGOw8WaHKXT4eUK44SS6S4OuDl998+jLPBgJIMB10W4vEkGo0KAL1eg0KhYCkYZi2h4MKtaW4OL2K16Gm2m/j19Rl62uposprQabLFGx6um6s51mmlWqN6ofajwu7Q2mjio5uz1Nfq6G1voH9sgcWVGG+ckGqqT8ueM8Z1dXUpgf8LOArEgH89PDz84Emvk05nCEcTpNMw4wvx5TMtLK6sMTa7QquzpiiMUqlUcL7PSTKVIpFMc6zTSl2tDo1axXIkRv94AKtFTzqt5hvnW5lfWOXS3Ww+iRelpHiuaMLkfDB/MrORZruR+1PL/MZr7cz6wsz4wxxwmYnFkzTbTSU5FfQ6NW+fb0OtVjE4voTbYeJ4l5Xrgz56Ox56vaXTGawWPeNzQerNVfkJDh6GZxn0Wv72g/t0NNaUTEa7Vap+P+G2GfnvvtSJbyXK6MwKCgWbLj5m1GFanTXcHV1kLZ7k9GEH71wYI5FK88oRJ2vxFKZqTf5EW6lUZE9aEkkGJ5ZoshpIZ8KEo3EOt9XhshupqdayupagwazHvxwlk4FUKsnCchRHgwG1UsHf/GqEl7ptKFDyd7++z7FO66bt3PjvXJL7/f57fpE40VHP7GKYaW/4kbrVqlU0mPV5I1cylea9yxNE1pKc7XWyEolhrdUX6fZsr5O1RJJrQz5c9hoGxwLEkyliyezzJw7ZqDVoWY0lsVuqeefTMV7qtrMUiuULhMwvrPLuxQm+/aXOZ9ItSHVpQXiRmPaHuXBrlkQyhdNqxO0wFeXFbLabcDYYSnJUAtjq9Ex6Q1vuSaNUKvLFGdRqJf/09Q4UwNBUgBlvmCMHGrDXVXPrnp+2xhranLXcfbCQ9/aJJ5K8edJFKBrP5rlbzyFsXzdMvHd5klgilTfCTXtDNFkNfPF0Mz/45Qhr6wfmOQOeFT0Xbs1y/mgjBr2WcDReMczPWK3l7VfbmfWH+LsPHuCyG2lqMPK//+AWrx5tIpNJb/saMrdmvT+9wne/1s3iSpR3L05gqdGhVavK9rfVnPVO+fTOHIsrUVnn7gCnDjagUHTjX44W7SmhtJJ5LJHi7oMF5vxhlkJrDE0sM+kNYtJrCa7GmfNHON1jz+Yonw/hshv58sst/NU/3iOTynCqOzu/v3d5grdfbWfOH87ncj7WacVeKx5xws7QZKvmd794kGlfiPG5IJ1uC802E5rHc/oUyrDnjHHAbwJVw8PDZ7u6ul4G/hPwzSe9SDqdySab/2gUgFl/GLe9hvNHHYQiCb74UjO+pVV8gSgnu20leYReO9bIlQIPr1zusq+da+X2fX8+n8RO55LYDTaGG2ys6ATrVTZR8Mnnc5zqtlOlVUEGLt2d55uvtjM6s1xymneiy8Y7F8bKutsX5kXKVfa0mKDFYCKWSJd4zSUXI2U9FTe2/UUIL95ObLV6zh9x8uubMxXzssQSKVw2I3dHs0lu/YEoFpOOWCLFub5Grg16iwwZsXiSBrOeD2/MlPzeclXVcv8/e8TJwnKUdJoS427u9ZG1JBqVkngijb2ufG6DXDt1GhVtjTUsLEc51FInSe73KU31xsfSrdWiR6NSEgjGgGx+N4NeQ98Ba15vj6vbdz4eKx7LjjiZW4jw0iF7Re2OTAfQapSPrVv/cpQDrlpe62sU3QrCC0j/+BK+QBTvUpQ3TrqYmAuWrGd1GlVRjl7IjicHXLVc6vfy7S0OVU2nMxxqMTPpCfKbr3XgXYwUr6c3rPVu3vPz7bcOMjC2xLQ3RGODAZVKyfBUgDeONXH7vo+e9gZujfjobqvjcFtdNm9sJoOjvpq6Gh22umparEYyBevxXI7ajiZl/u/GBgPj/SvM+MMl4a9Wsx6rRc/fvl8aBppLd9M/urita8iNa1b3tIlEKp3/LuUS95/tdZbMQ7LO3RlOHmjg9vgSf/D2YW7fX2DGF8bZYECtUuYL2OWY9mUPBU/3OPjRhw+rBufWxu98XLwfujHk4ztf6+ZP3+lnLZ5kcHyJ1483MeUNEgzHebnXgaPBwLG2ut346sILilGv4//9YKhIqzc1fv7VN7p3uWXPL3vRGHce+AeA4eHhz7q6uk497YUONZs50+sglUoTjadYjSW5MuDDbNJx454v78o/7QmVbHoq5Raa80eyhoV4ElO1ZldySew0G8MNcjk5kulM3rOj0IstFk+SSinzC4ZPbs+iViqLrrlZ0tPCXEiZTIaXe51cHfRwosvGWiLFzWF/0XsKPUQ2eipubHvuM1608OKtxG0z8oUTLhqtRmZ94ZLquTqNikarkUt3swsRR0M143PZBPSxgnteGOJXpVNX1AI8rK4WWo2jVSvJZKj4+uVQjFqjDkuNjuuDPr7ycguz/jD+QJS2phqaGox81u/hK2daOH/USVNdNd94uWXfG9VfdB5Ht4YqNan0Q205GwwMji8WjVVPqtvcWPa42u1tbyjRbbPdSGODkRv3fHzlTAvnjjhodZhEt4LwAqNUKrg1kq1Q711aZWI+VHHtmkrDyz0O5hYi+XHvwfQyy+H4tkR3nO1xcP2eF9/SasU2FY6Pw5PL+XQyt0b8+ddfHfSRQcHI1DIv9zYyNhvMv+7u6EK+KMV/+IMzWI1a/vBbfVz4fBbfUnbcNFVrCUXj/PabB/jJx6N4rYZ8qoHC8Nf+0UWOd1oJRsrnmZ3zh4lEE3mv6e1aQxauWXUaFWqVgrHZygUqNq6rCtss69yd4WhbHbceLHC000qDWY9vabWoOFOOZpuRe5NLzPmzYeO5dcVm+6HB8UWc9Xr8gSi1Ri2RaIJgOE6Hq5YGS7UY4oQd5+5o+dzud0cXeeslCVV9GvaiMa4GWCn4O9XV1aUeHh5OlnuxxVKNuozbNoDVakJfreXjm9NkwnEMVWoUiuIKePFkGt+G5Ju5PGflmF+IAAp8y1G++kobJ3ucT/Mdtwyr9ekq9DwJ96aWi/5OpzOMTC9jqNKUVE6FrKdaQ0FVlcXltZLTvM36uDAX0owvTKfbzIkuG5f753FZjZiNWjwFYQiFruCH2+qor3+4+NjY9hzDU4Ed6btKbKbbZ2GnvpPVaspr//qQhws3ZxmdXeHlHgeNViM/vZD1SNVpVFRpVJhNOiJriZLfGoBBrylbJhsoqa7m36Ctcq/vdJsJryYIBGOcPJRN4A/w5gkX54830d1az+995dCzdsFTs5u62wq2Q7u7odv70wF+dWWSgfElXuq202Q14AtE86fZWaOygUlPsOxY9SS6zeV4e5R2ew/Uc6V/ni53XV63rx13ceHWDN98vYPvfv3ws3bBM/E8a3e7xlzYm/2yF9v0pOyH77AVbKbdTreZlXAce1014dVExbyY0+vrr8I1m9tu4pU+Z9GaqRxPcx+sVhN/bKnm//n7wU1zdebGx/mFCAa9pqjyNDw8bD3d42BkKkCn28y//e2j9I8uMDi+xOG2Ol4/4eJwWz0Ab1pNOBoM3Lzno390kVPdNu48WOKjmzO8fryR0GqSrhZLPrdxLJGtdq3TqHDZjFxdzw+3kRlfmJcO2/j7TyeAZ1tDbva+wjWrpUbH+Fy2CEVu/bwxcX+X28zwC7bOfVJ2og++vP4Zv7oywXJoraxnu6laS2ODkRlfuGgPtNl+aMYb5qXDTmb9YUamAhxuq8NRbwAynDq8c/vPF2ksfpRuX6S+KEelHKQz3jA6nQ6rVbfDLdpbPI0+9qIxLggUfhNlJUMcQCCwWukpAKxGLd96rYMrwz4m54MYqtRcK6gEshyKYa+vLjIUVXIFh2wlvBtDPvoO1BNZjeP3l9+M7QRWq2lHPv+Q28zkfLDosUAwRltjDZfvrpS8vtluJIMi/3e507zN+rjQ083RUM2V9eqtuWunUhm0ahU2ix7dulcLZCe704dsRX1Sru2QLVW/Wd9t92D7KN0+DTulh420NBj4zpc7UauVTHiCXOr30tRgpNluxKjXsByO0dNex8hUoGyi20Awxqlu26ZaKKyuptdpUClLXgqAzaInnc6gWn9Bq7OGVDpb3KPTVUuDQbuvf7M7sUjYau3ulm7NVWp+5/UOvv1mtvrTpC/EJ5/P47IZcdYbcNmM1BiyXhfPqtvcY4/SrrPOQHg1SauzBqVSgbFaSyqV5t/9s+P7WrvPo24L2c37Uo7d+E39wf/26yd+z5//j1+o+NxujQtPym5r9/QhG//xr29y+rCDdCaNQqEvOybZLPoSjwabRU+32/zItdDT3geDRompWvvIXJ2QXVvffbBQ9HzusBXgiyeaigooHGqqQflGR5FHX66dDQYtXz7p4p+81Ew6nWFxZY1Ld+b48MYsxzut+JbC+bDTXIhqR1MtiytrNNnKJ+N32Ywshx56zT1qDVmJR/Vn4Zo1EIzRZDUWrZ8LPbNzBzWdbkvZNm/Wxt3W7U6x0+PIsfZ6FBlwNhiZmA8yvxChtbEGR72B8dllJuaD9HbUc/OeP78HetSe8/aIl5PdDk5126hSK2mxGoCdm3f22li8m/uzvdYXu4HLXmGMtBtf+L7ZTB+b6XYvGuMuAm8Df7ueM+7uVly0vcnMvYklutwWGszZ5LbL4RjtjTVYavXoNL6iRJuGqvLJXZWKrJFJr1Pz0iHbVjRtz3O2x8FHN2dL3FK7W+q4ec9f0kdNNhPBcKx8uXlFtty8227icGvdpklPdRoVGpUqb4jLnSzF4inO9jnRqpTML0Rw2010uS1l832Va3thsnNh60gm07gajPzuG8Z82It3Ocqd0UUCoRj/5OVWgJJ7DnD0oJXrQ76yWoCH1dUMVWoOt9cxPBko+/vsPdCAd3GVRCrOH36rj762OjjlklA+oSI5bTQ3GPnnXzqIUpkd4+eXVrnUP8/br7YTT5R6AAP0PYZuc2OZoUpNi8PE5HoOoo3vOdFlY3h6Ka/bdDrzQhQH2g9stSFKEB4Xt83Iv/8XJ/j0zjxarRYFlB1fqqvUJY+9drxp25O+nzyUzbf5qByYSoWC453WfPqT7GGIlmg8yb/5zV7cNmPJWPiosTH3/IHGWs70ZPPJmk06fnV1lm9/qTMf7to/usiNez6+cNJFm7OGm/dKx/ROt4W/eG8o//d2rSEL16y5g+ybww8dCPzLUWzm7EH0e5cnSKczFfcrss7dHY521HMUuD8XYsYXIrQa452PRznVbSeeSNNkNXHznr/IyFqpoEhvez0dTbVYzXp6Wyy796UEYZ2+A1ZulFn39h2w7mKrnm8UmczeWugXVFPtI1uX/feHh4fvVXq93x96rC9gtZq4MTDPZ0PzOOuNLIfjzC9EaHGYmF+IUF2lIRSNM+0N0+aswVanJxRJElyNMbtesca0Xs3RZTPR6ard9VwMO2mhz1Z38jI8FcgavnrtuK3GoscPNNViq6vm6oCXM712UukM43PZk6G2phpOd9vpbjajVivzpden/GEu92fff7DZTH1tFZ/1e2i2Gelw1XJvMsDcQoTOZjPnjzjzJ6OFm9RHbVhL2v4YSfqtVpNi0xc8I4+r2ydhL5/Y5O6RUqlgYDLA1SEv47NBnA0Gutvq8K+EaLFZGBhfZHwumF2IV2ernhn1WpbDMdwOE/UmHYFIjIm5EGajjnA0wbQ3THerhZd77LTaTSiViry+9ho74Bm3rbqFrdfuXtYtPNTuzEKEC7fnGJlexmUz0uqowRMIcqi5gYHxJcbngzQXzBOOBgNX+73Y66tpcZqoM+oYmFhi2hPmpcN2FoNRxmaDdLdaOHPYTruzZs/qFrbdM27P6PZpDGtPw9MY4/ay0W8v99t2spe0q1Qq+PzBIjML2UTx8wsROly1uGwGFlZihCLxh/Pl4ccrVrQVv/uByQBT3jBT3hDzCxHam2qx1em5OuClscFAjUHLWiLJQZeFsbkVAqEYZqOO7tY6DDoVh5rNz9zOKV+Ya/d8+AKrdLVY8CxFcNQZmPaFGZ8L0uqsodVpIhBao75Gz8jUMjO+MM0OI8cOWhmbXWFo4vHXkE/bzlxbLw94uTcZoK3RRIujhuGpAP7lKMc7G2i0mrh5z8eUJ4TbYeLMYTsmveaJ1rl7SbfbyV5YXyxHEzyYWeHOAz9GvZbwWhy3raaomuq8P8JLPQ48ixEm5oK47Eb6Dlix1VbRan9x9pqPw27uz/ZaX+wWV0cWuPPAnz04Wdfq6c6G3W7WrvMIz7iKut1zxrgn5UmMcbkOUioVKJUKNBoVqVQapVKRD2tTKiGVgrW1RJHRqJC94qmwG4NCJcNXJeNYrq8ftclUKhXU12ddXHOeKYVsRZ8/iZeJGOO2H7VaSTqdyRvpchiN2frY6TTo9TpisRjJJMTjyZLXP2/eQ2KMK+V5022l8ammRgtAJgNVVTrW1mJkMlmP0dx/QNG8ItrNX3vP6HYvG5WkbWKMe1y0WhXJZLpkXfakY85W/u5zc35hGwEUCgWJ9UrV8XiKqip10Zi5le3cuD7d2C61WolCoSAWS6JWK4nHU2Xf+7Q8SX8W3rMchZ9fbo/yuG3cq7rdavbS+kKpVGAwaEgk0iiVSuLxJBqNCqOxinB4DYVCgVKZ3YeuraWKtLeb7KU+BDHG7SWkP4p5WmPcXgxT3XZyG/pHTfR7ZSDcS1Sa5Asf3/jvx1kYVHr/VvK8bHpfFAp/f4X3JhiM5/+t1+uK/i73ermvwk5SSW+FOq2q0hEKleoWKuteEPYKO2VYE7aPjevX3Fizm2POxjX32lr5dNCVHt8Kyq0dCvuqsI2V+nCneNQ928vOAkIp6XSmZF2QTKYxGquIRhO71CpBEHabF9IYJwiCIAiCsFuIwUsQBEEQBOHFpkJdN0EQBEEQBEEQBEEQBEEQthrxjBMEQRAEQRD2PHu5iIUgCIIgCMKTIJ5xgiAIgiAIgiAIgiAIgrBDiGecIAiCIAiCsC8RbzpBEARBEPYiikxGKu8IgiAIgiAIgiAIgiAIwk4gYaqCIAiCIAiCIAiCIAiCsEOIMU4QBEEQBEEQBEEQBEEQdggxxgmCIAiCIAiCIAiCIAjCDiHGOEEQBEEQBEEQBEEQBEHYIcQYJwiCIAiCIAiCIAiCIAg7hBjjBEEQBEEQBEEQBEEQBGGHEGOcIAiCIAiCIAiCIAiCIOwQYowTBEEQBEEQBEEQBEEQhB1CjHGCIAiCIAiCIAiCIAiCsEOIMU4QBEEQBEEQBEEQBEEQdggxxgmCIAiCIAiCIAiCIAjCDiHGOEEQBEEQBEEQBEEQBEHYIcQYJwiCIAiCIAiCIAiCIAg7hBjjBEEQBEEQBEEQBEEQBGGHEGOcIAiCIAiCIAiCIAiCIOwQYowTBEEQBEEQBEEQBEEQhB1CjHGCIAiCIAiCIAiCIAiCsEOIMU4QBEEQBEEQBEEQBEEQdggxxgmCIAiCIAiCIAiCIAjCDqHe7QY8K35/KPM4r7NYqgkEVre7OTvKfvtOe+n7WK0mxXZe/3F1+yTspf7bKvbbd9ru77PduoWt1+5+u8cg3+lJ2Uu63Q/3Tr7DzrGXtLsdPC/3Qdr5ZOx33ebYK/29GXu9jXutfbu5P9trfbHbSH8Us1l/bKbbF8YzTq1W7XYTtpz99p322/fZafZj/+2377Tfvs9WsB/7RL7T88t++J7yHYSt4nm5D9JOoRzPQ3/v9Tbu9fbtJNIXxUh/FPO0/fHCGOMEQRAEQRAEQRAEQRAEYbcRY5wgCIIgCIIgCIIgCIIg7BBijBMEQRAEQRAEQRAEQRCEHUKMcYIgCIIgCIIgCIIgCIKwQ4gxTnhhUCq3vXiUsAvIfRWeV0S7exO5L4IgCMJuIPOPILxYqHe7AYKw3Uz5wlwe8HBvcplDLWbO9jhw24y73SzhGZH7KjyviHb3JlO+MH93YYyBsSW5L4IgCMKOIesC4Xkhr9WpZQ65RavPihjjhH3NlC/Mn/zlDWKJFACTniAf3Zzle985KQPHc4zcV+F5RbS7N5H7IgiCIOwGMv8IzwslWp0XrT4rEqYqPNc8yp378oAnP2DkiCVSXB7wbmezhG1mq+6rhAMIO41od2+y2X2RvhYEQRC2iydZF8h8JOwmsq/eesQzTngumV4I0z+2xK2RBTqaasq6yCqVCu5NLpd9//BUAKVSQTqd2YnmCutsRZ9vxX0tDAfobbdw7kgjDov+mdol7G/2mnZHZ4Mc72ygt62OZqucRj4Lm92Xocklvv/OAG67UfpaEARBeCo2m98fZ10gc7+w28i+ensQzzhhz6NWK/MnQVO+MJ/2e/jZpxNcGfBSa9QSjib5j399kylfuOh96XSGQy3mstfscltkwNgCyp3QlXtsyhfmhx8+4H/+82v88MMHJffqScjeV0vZ5x7nvuZcrH91bRqXzYhnKcp//mk/f/X+/Wdql/D88Li6hb2n3f/41zcJR5PUGrVcGfDys4sT9E8GnrpNwuZzRbPNhMWk5eawX/paEARBqEjhOqJw3/KoNcSj9ioy9wt7gXQ6Q4ertuxzB5pqZV/9lIhnnLBnGZpeZnhqmYGxRerNetqcNSgU8M6FMaKxJABT3hA6jYpT3XYuD3hLvOPO9jj46OZskUutTqPibI99R7/LfmNjotlXeh1o1Cou3p2jfyxQlHz2cXNhPIlXkEKhRKdRPdV9zblYn+tr5PqQN3+NKW+Ii7fnJO/BPuZJdJt7/aO0+7gngVul3RNdthLd9o8uim6fkZ72+rJzhdth5OqAF7NJR5VWzfd/fJd//y9OSF8LgiAIQPHaoqvFTKvDxEc353DZjSSTKT69M086nWHSE+TS3Xm+951TRdEYleaf3LpA5n5hr9DqJ2m00AAAIABJREFUNJVdw7qdpl1s1fONGOOEPUHuBCn3/2sjfj7r9+APRLFa9GhUSn72yRgvdds40WXj4p25/HtjiRRr8SS+wGrJxthtM/K975zk8oCX4akAXW4LZ3vsMnE9A4UGCqVSgctm5GcXJ/L3ymUz8qtr03mjxWb5BXLGusepILXxc8/2OonFk/iX1zjUUvm+Fmoi52Kt06hYiyc3bVela2z2mLB3eVLdum3Gitr9bDCbG+NxK59tlXZHZ4PUGrUV2/Soa2z22IuOdynCmR47kbUk/kAUl92Iva6ay3c81JurqNKquTns40SXLd/XG++P9KkgCMKLRW5+T6TSnO11sriyxr2JAC67kVg8xc1hH2d7nVzun+dsr5O1eJL//NN+ulstnO1x4A/H+f6P73Kq285aPDv/2Cx6XjvelJ9nHmful/lI2G6USgWZTIZvvtbOjC/MjC+My2bEZTOSyWREd0+JGOOEXWXaH+bWgwUGRpc4crABf2AVU7WWD65NF53+5LzfImtJNKpSzxJ/IMqZHkfZQcBtM5ZMVMLTMe0P8/6NmXzfn+11lpzU6TSq/OODkwGmvOXD+oanAkz5H7+CVKFhJJ3OcPHOHDqNit94tZ2vnm4uuX4lI9+hFjOxRHbBU6ldG3N0FF4j1xYpP//88KS6HZgI0OowVcyNgULxRJXPtkq7xzsbuFIhSe69yeJ8HaLdx0epVDDpCfPp7ex9+dJpNxduzXBpNQHAhCeYn4PW4kksNTp++OEo9yYDdLhqcdTpuXzXS6e7VvpUEAThBeKTO/MVoy10GlX+kOd8n5MrA8XPX7o7z5leJ9FYMr8usNTouDu6SH2tntpqDVeHvHS4ahkaXyr5bKVSAQqFzEfCjqBUKgitJvj5J+MAWGp03Ljn48Y9H2+/2ib77KdEjHHCjqFWK0km0/n/908G+PjWLP5AlJPdNt79NPvjPtrZUPb0Zy2eZDkUo9aow1Kjw7O4mn/eZtHT21Y+F1MOGSA251GD6JQvzJ+/O5T/ezPvsgwZjnda+azfQ4vTxLm+Ri73zxddv6etjsv9m3vNFbatnGEklkjx+X0/b7/SQjKZzr920huqaCzpaa/n0t15mtxGpryhkmsW5ugod40zPXYufD5Xcl1Z8OwO26HbKwMegpE45/ocTPtCRdfXaVSEV+NP5FX5ONotNABX0m6Ls4bx+eCmus19Z9HukzHlyfapVqPEv7xKaN0Ql6NwDvIHovl7MLluqDvTY+cfr0xJnwqCIOxTNq43PIEo96c3j7ZIpjI02wzMLa6WPG/QaxgpyPsWS6TwLK6i06hYWInyi8tTfH7fz8u9TqwWfcncf7bXyYfXp4vm+tzBkcxHwlajVCqY9obzeivch097w1Lp9ykRY5ywrSiVCkbmVvj09hzVOg3B1TgzvjCtjmxs+a0RPxqVkilPiFgihaO+Gs/Catlr+QNROt1mwqsJAsFY/nGdRsVrx5ukqtBTMuULc+2eF89SFEednpcOlQ+Zu3bPC2SwWqqZ8oaw1OgqepfNeMPEk9lFRaHXUS682FSt4c0TLv6Pv7tT9v0577RCDrWYmfQE83/nwv0A/uhPrxadCDZaDdk8ggUGwFgixbV7PtKZNF95uRXI0D+6uEmODm/ZhVVkLVnkmVnJCCNsL4+r28sDHgKhNbpb655Kt+f7nHkDFoDLZmS6jDEMyusWHqXdK7hsJkzVWiBNXU0ViVS66P2xRIrrwz5qDFpanTXcfVBZt0qlomJ4rWi3Mk6rgWa7Cb1OxchUeY9IfyBKb0c9H1ybLno8t+F6/biLT27PSp8KgiDsIyqtN64MzuOoryaeTFVeV/jCrMVTLCyXPh8Ixjjaac0b2XJrg1y4qrPBwNfOtRIIRultrytas+o0KmIVDIBr8YdzvcxHwlaRTmeYX4iUfW5+ISJOL0+JGOOELUetVjLlC7IWzzA2t8KPPhzlVLedDwvCxKY8Dw00o7PL+UksEIzR21Ff1vPDZtGTTmc43FZHBphfjNDZbOH8EXHD3siTJJX/9c2ZfJ4kgF/fnOELJ1xFfTrlD+NfiQEK3A4T/aOLm94rq0VP/+hi/u9YIoVCAV1uMycP2fEsrfKff9qPy2YsMlLkyHn5DI4v8utrU9ybXOZcn6PIkLAx1LDwRDDn7l9oAATwLq3SYK7m55+M5fN75BY9LQ4TXzzlggy8d3WKoYnSkADIbsg3emYWGmFkMnp6tlq3SqUChUJJp9tCXU0VOo3qiXWrVav4+iutDE0EeLnXwcJKlOVwnEnPo73TciGhj9buw1D8D2+MlugWQKtR86MPR0t067IbMRt1oIAffviAhZW1ipsC0W550ukMh1vr+P/+cRhg0zlIqaBk8wPZDdexgw28csRZFOpeSdMSziEIgrC3KDcul1tvfHhrhpOH7MwvrdFg1jM0sVQx2sJq0WM26qjSqUqejyVStNhN3B7xE0ukKqbQONNjJ5nKFOU17XSbNz04ys31MscLW4VGo6KtsaasztuaatBoVPkoJeHxEWOc8MzkBvmRmSAX+2dpajAx4Qky4w3jshv55usdjM8uVzy9iUQT+UkslkhRpVWXrdRy5EADLev5317ry3qVyMRSzOMWQ8gxMrNcksNCp1HhspnKVpRUq5WcUSl5+9U2pr1hLCZd2XtVpVWX3O8ZX5g/+Ho3/8t/vZ5/zl5XXbGy5MZQu2lfiPN9TrRqFZPeEIoym+KNJ4KF/wZoshpYCMbyfxfm6FCrlCiA//UvbwCVN+SFBhudRkV9bRXnjzr5wQf3GZ0Ncryzgd62uiJPTdl4b8526BZgwhPiwxvTJFJpzvU5+fZbB3kwvUKNQfvYun0wu8If//5LTHhD/Mlf3MjnhtmsIurg+OJTaxco0a1Oo2JxJVpWt+lUhvqaqnzbdBrVI7Wbe+9KOM4rR5z8t48eVPQwfBG0O+0PMzq7ku/fSnNQb0cD92cCZa9htej58OYMXzrtpqFWx4Q3xOX+rKZ72y2cO9KIw6LfoHUpKCQIgrDbbLYGKbfeeO1YI9//8V1OHrJRpVPx1pkWFFA22qKtsZaffzLGqW572XllfjHCqW47qVSaZCpddm2wupZk2hfmwucP5/4rAx463ZZN53q9Ts0bJ1wlc3yrw7Tv53Vh64nFktgsenQaFZDNGZeLVLNZ9MRiyd1s3nOLGOOEp0KtVjLhDXJvcpkHs0E8CxGa7UYONlv44fsjRNd/kNlNso83T7rKXscfiGLQa4o2P7mKQ7F4Et9ylDZnDWd67BxymfPvk0mklI0GAM9ihKGJAP/67W7cttKJN1ehqdzEPzq7wpdPuUinM0Uhb7/5Wgc/uzCW3/TX11Zx9ogTpRLGZoN0uS3U11bxN++PlLSvp62Oi3fniz4vd68zmQwzvnBRBakffvig6LXpdIYLn8/x9Vda+aN/eYo/+tOrZfuh8ESw8N86jYqXexx8/6f9Jd/Xs7iKVq3iYHMtiVSadDpTcUNuqFKjVCp467SbpeAaVrOeH304yokuG7VGLVcGvIzNBXn9eBM1ek3RAu8LL7mxGrWPcztfGDbqdtIT5NLdeb73nVM4LPoSY9Dj6hYeFk4419eIAvjhr+4DUF9bxZkeO6trDyuaVtJtztutML9hYVU0fyCKvU7Pq8ea8ov3j2/OPJN2N3qwuWxGxueKPUgLddvbUZ8Pbd3sQKPGoOW1400sBbPec199pYUZX6ish2Gu/14E7d6bCjBR0L8b72+TzYhGpeAv3hvifJ+zoiE3spZEqVCg1Wn4k794WF3PsxTlz/5+kCMH6gmvJhgcX2JxZW09b98Mf/itPnpbNs95KgiCIGw9uYNfAHudnqGJAJfuzvPv/tlxWh2mkvWGTqMispbkRJcNpQLe/XSCWCKFXqfmteNNLIfW8C5lq7QbqtRMzq8U7W0KvdrVSgWf3smmU3HbTRXb6AtEaVhfBuXmfqh8cKTXqTnTY8daV83Y7HLJHG/Qa0mn01LgQXgitFoVkbUE33ytnfnFCJFokoPNZpz1BsLROFqtirU1Mcg9KWKME56IwallLvd7mPaGaHGaUADXh7zZxOPeENeHfPkwwRyxRIrgarxkwoCHpzeXA/Oc73OiUCoYnwui16r48ksu2pw14vK6CYWGipwBIJdzIp5IUl+r5x+uTjPjC9PdYimaeJVKRdkcFpANAc69Jpd83lStYc7/MHFnLJFibiHC3EKEN064+OPffymfgF6jUhJLFy8Ozh1x8n+/M1D0ObnKkh1NtdQatfkKUn1tdSVJ73OngSPTy6TTmZI8XDkKPdfcDhPepVWOHrBytseOs64aR70hn6x94/t+8KuRfIjgxoXT4bY6Xj5sJxxL4nbU8N8+yBp2ejvqOdFlKwkt6B9d5OwRJx/dnAEkYf5GctotNFwVavfC7TlCqwmmfaES7SaS6bLjSU63uWvdm8wmVk6l0qzFH54453RbWNG0km7P9thLijAUVkTtaa/Hu7TKwNgSvS0WlEoFAwVVz3K6DQRjDIwvPZZ2Xz3aiE6rYmB8iS63hTeON/KTT8YrnoD/8P2RotDWnHaTqTTepVW63BZ62uvwLEX40a9H88b0TIayHoaNViPvXhzPFzHYz9pVKhWMz4VwNBjy/Vt4f1891siVAU++Lz69M89vvdHBlCeEZ3EVR0M1GpUq3+e/vDJJp9uSNwLfHPZxosuG2QQ37/mxWvS8ccLF/ekAWo2ay/3zXLg1S221RrxpBUEQdojcGPvZoIeXDtuxWvTM+iN4FiIcOdDAyMwK7Y01JetkS42O5VAMq1lZtK6IxpL86uoUOo2K1483crnfg0GvQavOehEVziuWGh3exVUiawnS6cy6p1EGW111xRQJ+ipNyeOX++f55mvtzHhDeJeyBj5HXTV6nZqffTLGl067y87xXzvXyi8uTu/beV3YHpRKJQa9Bs9ihNW1JAvLURQKPZ7FCPb6apRK5W438blEjHHCY9E/GWApGOMHvxwuGdQLN4HlQgMhG6Jo3zDJ6DQqDjabWVzJeqa8eaoZe40OeOj5Joa48mx0qX/9WFPeAJDLOVEuT99HN2f5w2/1MTC2yL3JZVw2I456Q0ml006XOf93znDQ6qxhxhcu256x2ZX8wsZtM/K975zk8oCX4akAXe5sKJbDoq9ohDCbdHn3/uGpQNHnbkxoa7NUM+EJcbbHwUc3ZyuGGuo0Kr500lXkjp9OZzjQVJPPz7HxfaHVRJF+cwunnMGmfzLApTvzZCBfcGQ5FMNsKh92uBpLSML8DRRq9/RhGwNjD3O0Pa52F5azifSrtOoi7RbqNmf0iiWSxJPpsobnWCLFtSEvX3/ZXVG3bpuxogEtlwvRuxRFqXyYJ6ynrY5pb6hIt70d9Xkvu820C3C+z8n/z967R8WZ3neen7pTN4qiqAtQFCCQEAKhloRaUqulbrUvbbvdtsfuieM49m7izXGyTs7sOTN7cuyzk8x694zP7Dnzx04mM5OzE2eSnEzipO3Y3bEzafdVarXuN8RFIBBQFFAXigKqoKj7/lF6i7q8hYBG4vZ+/ukWFC8v7/N9n+f3/J7fxWUz8M9fbMn9PevRrWD0v/JcE7/zxQ7GfWE+uDPFcjyVlyKuZSqwKKrb0akFzEZNQUfR3arddDqDxVSBWq0QdfBGY6mC55BOZ7jW76PGVEGbq4orjxx1FRolGTLotSoCoWiuu145R/3JDjtX+3yc7qxlwhemdzREg9Ww7pRtCQkJCYm1U2yDgAy5DH5xaaxgnr454CcaT+Kw6Avs5NBCjM59FmYXYmXtisGJeT5zqok7DwIlDjYhsu25w7XcGgpwpqsuZyc02I2iDZp0FUpanSauFTVnUink+Gej9AwHcwdH2kN2fLNLmI2asmv8VGARe7UWty+yK9d1iSdDJpMhnRY/xP38881kMtIB4kaQnHESogibSncggtsX4WcXR2hzVT+2RheIFwl32gzUmCpocBizUXV2IycO2elsNPOZEw2k0xmsViOBgHiXQokVimupCWl9JzsceGcWC+pOiY3XhduT3Hvk+BKaHuQ7VDUqBWeP1KJUykkm0znHwdj0QtlaVC6HscBx6npU2684uuNxDjSgxGHR3W4v2czeGPDx3W8cL3CetNabsFXruNLr5eWTjQWOlHwOOKs4f9xJKBxjemYRq1mbc+qAuH47msy4/RH++PUezJWa3EmnYJSVK6LrnVkqWzB/L0a9FGvXG1yks8WSa2CwHu0WHwYInU+BAu1+dG8atVKO1awV1W5+04VyuoXHazf/Oi8ccxJZipcYLL0jQQ44TQWOv/vjIRrsBgw6NWQyBafUxQ7y9ehWo1Jw4qCNdDrD4MQcw575or9ctmpXLCjtCrtbtXvioI0Bd6igOLbNrKXBYeRnFx6WfN5pNTDonsVm1hFPpHFYdDx7yMGdoUCuQUg8mVrVUb/86GvL8SR1NXruPAjQ0WwumdulyAUJCQmJzaHYBpldiHL0gI3FZXGbw+ML0zOcPTB8vquWoYk5Qgsx0unMqnbFQZeZzz7bwCunXIx5w9zo95XYDnVWA0qFrMBO8AQiPN+Vtb+HPfPUWvS01Js44DQBlLUB0ukMQ+45zMYKnDYj7930sNY1freu6xKbj1BSSPRd8UckZ9wGkZxxEjmUSjmewCKX7k1x7+EsTQ4japWCpeUkdTWGslFRxZtAm1nLvbyOhBqVIltLrLKCQ66q3EZZQFoA1sflopMxgPBSArtFh71aV1B3Sgx/0XgJ0T37G6poqTfR2lDFWzc8THjDNNiNnOyw5xwHlqoKbt0vjc559pBd9HcVj22xE8JaVYEmz6GQXwTfZTPwf/326VyNunyEKJ2vnm8pcZ7k1wwTw2UzIJPBu7emiCdTJQV3DzRUFaQICk69H72XTe/L78YZS6RIJDNlDTKrWcuQO4TDoiP0qHFEvtNmr1Gs3fz6Zvm10taj3WQqzSvPNXHioI2FaII//cV9Jnwr2v2Xv3qUIc88Hn941aYL+YiNj6DdD3umGZqYKzCEi69zqNnCW1fGy+pWcPrla/dxxvBGdSvU2PPNLhU4032zSxxvt4l3xaqr5Nagv0C3wK7Vrstm4GLPFKl0NtKgpkqLUiHHpNeIpi63Npios+qxVFZwvN2GxxdhLhKjwW7E7Qtn68dFE2ty1AdCUQ631mAxVXB9wJdLaS6OppUKbktISEh8PIptEL1WRSSaKFuyxTe7YnMk0xn0FSr21Zvo2GdBpZRzY8C3ql0hZIt857UuLtyexB+K5myHd264ObrfWra+7Pd/89nc1wRWswFqa/S01psY9sznSl6UW+Mb7AYmfGGMOhUn2u3S2iKxJtLpzKoOXklHG0Nyxu1x5HIZk8ElhifneDAxj9sbxmrW0mAz8mHPNM5HNWxC4eU1d5fsaq1BrVbg8UVosBs4ftDOM/uqc5+XUk83jlwuw+2LcLjFwtj0QkH61Ec9Xr71ajtvXfNwY8C3pvES8PgjfP9bz3J3JMh/fL2nJArtO6918dXzLcjlMhzVOq71+3B7w7gcRp59FOG4VvKdEOO+MB/1+nDZjQUOBIH2Jgt//Hc9otfJP83LXwDWshg0WA2cP1rHld7pEiNKLEUwWzMsmz5bXCD/4t1Jvvxiq2gXrcMtNQC5NEV9hTJnpIk1JtjNC1k57V7unebTJxtRysE/t8zdocC6tOubXeJ3vthBz+gsf1xGu588Vo87EMFpMzIyOc90cJEDzqrcWK8Vl83Ar31yP95QlEv3pukbneVTJ1yiHTFLI9GyFJ9CF/93NdarW4HpmcUS3cYSKeQymehGomOfhchygsDsSjrwrUH/rtWuXC5j2LOQixQWHGI3Bv38ykv7GZtewOOP4LQZaKw18uaHo3z95YP8fz/tLdDbZ041olGt1I+rqtSs6qjvHQnybIeDWDzB0QM2PrgzlWvIkR/xMDA+yx/95B41pgqe63TQmFfoO3+O2sljICEhIfEkCS8nGS+qFxxaiNHkqCw7T+cHF3h8EeLJFB/1THNzwM/vvtbFS8eca7IrOhvNmHQqekdD3HkQoMak5X//2rGSOsoCfaOzomv5ajbAZ0+5aLIb+YM/vUbDozWi3Bpvr9Zh1KmZX4xxtd/LwmIsVxIhfy2Ry0sj5CX2LnK5jMZao+i70lRXKellg0jOuD2IXC5jIhBmenaZeyMzjHvDWKuyJzWeQKQg/evGgC93slJvNaJRlUZF7aszEQhFaXQYqbMacNToeb7TgVqtIB5PrXInEuulZ3QWc6UGjy9CV6uVepuBn7w/TDKZxlKpgQx8qtvJjQFf2S5L+SmhAm0uM8lkmqtFofSQdT5d6/fR2ZiNiulsNNPZaC6JcFwv6XSGBquBr54XTwsUKFdn7uNG6axWI0y4v/x7zb+P4uYO85Flvv3POrna58ulDzTXmUQ6Cyvobrfzo/eGGZlc4OiBGhprK+kdmWFgrHyNqN2w0V5Nu8lEil/55H7cgQh3hwLr1q5Qx2s17bqsBlxWA5/uznYK/TjP02HW8pVz+0SNZYHtoFvh360NVbh94RLdymTwW1/q5GqfF19wCZtZS1OdiT/7h/4S3f6LXz0KsC7t7hTd5r/f+Z3qAILzy3z2VAMPpyNc7fNinFfzv/3zI/zyhqdEbx/cnuTVs82MTi0w4QuTTqd55oBV1FEv1AdMpzPEExn+w9/eLVuP1VqlpX90luMHbdx9GOTuw1km/RGmZxZpdVZRZ9Vx6a6XAy4TpzscWK3lu/IJ7JSxkZCQkPg49I6HuNrnY8IXxmk38NpL+/nphRGSyWzzBYVCjlolF7U5NHk2R/5hYCyR4mq/j9/87EFctrXZFQ1WAw1WA6+ccpXUZC5mNTuhrA1gNeTW+/dveTjdWUssnuT8cScLi3E8gQitziqSyRT+UJTreTaTUJf3K+dbuNTjpa2xiiaHkfdvTdHaYOLZg7aC5m/S2rE3icdTtDeZudZXmnZ9sLFK2vNvEMkZt0eQy2WMecNc6fcCMgw6FW9eHC2YiPONf6EWHEClTo1GpeCnF0b40rkWpgIRPP5s1Fu9zUhzbSWvnHIhl8sKnDPSS7m59I6HSiJ/NCoFv/7yQX709hAatZKPerOpm9/9xnGu9Ps4393AwmIMjy+ScxD9/NJowXWzkTDVqNUK0S6jkNVHsfNtMyMcV1vYy9XqEksvXC+r1Qhb7T6EAvlGnYrf+5VnaHUY+dF7w9wZCmQ7vj5qQiE4NARiiRQX7kyir1BjMqi52ufj4dQCzXUmJvzhkhpRu6WY++O0a6vWAeCyGla0KxiQ/s3V7mYakTtBtwDnumq5dHeqoCmJvVrHp7qdXLrnpefBDOZKDYPuEBnEdXt70M+1fi+d+2oeq11gx+l2tfGqtxiotxh4oauWdDqDUikX1Vs0liSylGDIHUKvVXFrMMDVfh/nnqknlcow7l3AaTdQqVMTnI/S3W7n5qCfjuby9ViNOhUVaiXH2mzIZTAzt8zVXm/Ju/SFs/v48fvDvH9rku9/+zRWg1r079wtc4qEhITE47h4Z1LU9vhn51r4u3cfAHBr0M+vffoAlqpsU6PpmUUa7AZkMhkf3VspoVJ8GJhvW6zHrlhLHeXH2Qmr2QDCep/fuTWRTPGvvnaMD3umePvuFJ0tFtE1Z9A9R1NtJcH5Ze6PhXDaDcxH4vy7v7rF73z5cK75m7R27E3kchnzi3FOdthZWk7if1RfV1ehZGExLjlqN4jkjNvlhBbj3B7yMxuO8871Cbrb7fQMBzjgMj+2GYNQvyk4H+WLL7Tg8YW51ueltaGKL7/YwsBYEKdVT1t9ZUmqoMTmUy7yp3dkhi+90MKP3h7CZTcil8sKFmq3P8x/fXOA3pEgt4cCudOy/NoV1wd8vH19AqfdsKYGDU+Tx0UCbQZr0W7xfRxsNHPq0Epdrvvjc7moGodFV77u2WwUiOaes1DY//muWi7cmcrViJLJ2DXF3B+n3Su93lytP0G73lCUf/83t1ApFTntPt9VSzKdyTmXt7N2t4tuV78XI386fn9Nuh10h3j+SD1vX3OXNKXI1+6HPdNc7ffm0pB3im6FZ3Ttvp/+orp7AvldvoX6cMVEonHOHq1nPhxjQpVNbU2n01y/72e/08Ts/DIPJ+dzdeFWe+aBUJTzxxu4OxygtlpPKgVyhUy8O15wkbNH6vngtocPbnl47dy+kuuJNf/ZCWMjISEhsRGuFqVzQna+9IWWONhoxmTQ8NlTLsjA377zALNRg0wuR6lQsBiN47QacNoNyJDlahsLbIZt4bIZ+P63T/Pu9YkN2Qmr1bctXu9rq3X0PgytWpc3EIoSCBXap0JGR3HzN2nt2HvI5TIm/Yt8eHfF0Sto4uyROilNdYNIzrhdSt94iHFfNuU0OBfFbslGnizHk+i1qlUnYqFYqVB83mk3cuXeNF0t1Xz5hSNUG9QolXK6mqtFryGx+ZSLxIBsUXtLVQUqhbwktD2dzuCsMfCbr7Rzpd9H/+gsy/EkBq2aZHAxlz7lshuJJ1MccNWLhuqXa9DwtFhvJNBW3Ed+usFcJM6xNqvoZt1pM3Dzvr/ga0J3ReHZD7pDVOpVqzYA2CmsRbvtTaUpGQ6zlt/7ypGcQWmv1pFKw63BAFUG9Y7Q7nbR7Wr3kq/b/OYkxdRZ9ATnomU7gwrPfsgzh16rKqhnuVN067IZON5RSzAYeex4newo7PIMWb0da7Px0w8eolLKqDFpuTUY4HibjY7maubCMWzV2lz9SVj9mTfXVeKfXcJSqSWeTKNUyJjyiRdPnvCGOdRcjUaloH90FrlICrVY85+dMjYSEhIS60GplDM6VZoCCjA2tcD+BhMVaiUua3ZdPNNVT2BuiUAoSiQaz9nJ1UYNv7w2UTCfbqZtcajZgtWg3lQ7QWy9F8oxvH9rsuyaU9Y+jSeZC8dKGmhJa8feQqFYseeLS3okVJRiAAAgAElEQVSMe8MoFHJAyopbL5IzbhdyayRIz4NArl22w6LD44vkTkNWM/6FmghCLTirWUcikeK3v9SJw6zNfU5qwvB0SSbTZYtmWs1ahifmsVfryoa2CwvzP+pUvJGXnpx/jd6R4Eoq8kwEjy+yoQYNT5KtdmgICPeRn/J1psuRc0gcb7OhkCPqHKrUq0ueP6x0V/QGsye2t4dmRH/3TmtDvxbtfuvzh0R/Nt+g/Lv3h/n5R+MAePPSKHeCdrfTWKXTmbK6jSVSNNeZRGuctTSYuHh7SvSa+dqttei5MxQo+cxO0u1a7rGz0cx3XusqaWYzMBbMRRNUGStYjiUL0oVUCn3BvBBLpNBXiNdIzGQyXOnzolEpOHrASpVRDTKZ6LtUW6MntJDdLB1qri75G4ToXTF20thISEhIrIV0OoOjRl92vpwMLPKrn9if+2wmk6Z3JIi5UlOwBtbX6Pn1zx5kcDy04cZla73fzab4mkJabLm6vOXs00AoygFXFRfvFNoA0tqxt0il0qu+U6mU5BvYCJIzbodTPAl6ZiL0PJhhcTmZm1AF51vvSDDnhCs3EVurtDzXVcsLz9TlToukSXZ78Gy7XbRoZoVaSW2Nki+c20eNXrxOkEBHUzVvXCytu5VfC+P1dx9wqLmaf/vtU1Ldv1UoTvma8Id5vqsWXYWSUDjO5V5fQbF8q1nL4RYLfQ+DotfLd4SfOmQnk8kw7CndPH/cBgBbwWra3VdfUeDoFyOdznDioJ23r3tEryFpd+2U061aqWDcF2Y6GKG73V6g2wq1kngy9djOoBqVgpb6Sq72eUs+sxN1+ziKm9nI5TJ+/N4IUNp1WThFno/E+eK5fYxMzueer0wG33mti76Hs7m0okq9mh+/P5y7lkIhJ55IU2/Vi67ddVY904FFFqMJXjjmLLnX4iY0+Rxs3H1jIyEhsbdJpzPsq6vk7lBp47nGWiMdjS4arCtRXac7s46q/GgfjUqBWqXknesT/JvfOFFSG3sncrLDTjSWLKjL67QbUCsVBOfFs6ZsZi2JZKZsAy2JvUEymabRYSz7Tu30d2OrkJxxOxRvKMqbV8ZweyM4qrWcOJitMTDqDROJJpiZW5lQhU0BkNscFHfVa3QYqbcZaKk30eJY6cQmTbLbh45GM7/1pU6u3JsuqPd2a9DP73/9GO1NFgKB0o1yvkO1yWHke988zke92dQ/p81AJkNJLYwGm1FyZjyG4pSvdDrDhTtT/C9f6KB/1J1r8iBExPSOBAnOLXO6y0HPcGnkkbVKy4lDdp49JNQLeXINAJ42q2n33/zWKdGfKT4IkLS7OZTT7SvPNfGHv3GC7/3JlVxkV36EQJOjktNdDtGouXztVmpVos6inajbtZLfHKRs1+W5KO2N1VhMGv7m7QeoFPKC51uhVvHV8y3I5TKUSjnf+5MrBfq/Nejn7DN1mPRqTnbYWVxecZbqK5TMzkeptxn4zCkXh5rF14JyxcJBxo/eG5YKcktISOwqjrbZmApESubLQy4zDUUBBy6rga+cb2HQPVdwEHW5d5pPnXDtitrYl/u8XLizYpc22o3UVK2UU3DajaL2adf+Gv76raGCawkNtCT2DkpltvOwmA2iUslRKuWS/b0BtpUzrq2tTQX8EGgCNMD/PTg4+MaW3tQ2YzK4yJ3hGe4MzWCr1mKt0uIPRXn3lofPnGzkSq+PmqoKZLLCCAZhUwCZ7GnIUpwJf5iWOhOvPNdIa51J8mjvAI61WLCaNPSNhrg9FKDGpOX3v36sYAMlGBfZVDQf98dDtDhNOKq1XL7n44DLxOkOB1/7RCvjvjD/9i9ultTC2M0b581gtZSvj+5NFxR3z6+rYKmq4KcfPORkh53lRArvzBJOmwG1SkHP8AzB+WWu9/tyRXGfdAOAp0n3/hqslRr6xgq1e6jZQjAYASjR7cHGKjr2WegfDTIwttLBS9LuxlhNt32jswWNCYrrgZRoN7iE3axFq1GWaHc36Xa9lOu6/N1vdFNn0fGHP7xOOp0hli58vg8m5nAHIlzu9TIyuZBrSCKXy3IOvftjIWKJFB37LNwfnyOTyR6w1VRpiUQTpFIpmuzZwzSxqPb8OeX+eAhrVQUatZK3ro2jUsgZGAvxrc+3F0SLSEhISOwExOa8Q80WotE41weyddAqdWo0aiUX701jNxfaxC6bgQPOKt78cBS9VpU7KNktdkX++i+s74vRBJ0tllw5Ba1Gybmj9YQWlvGHotTW6NGo5EzPLPK/fvkwH9yeLDhQ/c8/uVeyB5HYvSSTady+BVrqzYxOzZPJgEGrornOxMhUSPIjbJBt5YwDfh0IDg4OfqOtrc0C3AYkZxwwMDFHKBLn9qA/54mWy+R8cHuSY202rvb5cDmMuOwGjHoN/tnFguiEdDrDjQEfv/crR+h8lJIipNaAVANuJ5Bf56lzn5nf+Fw7DrMWtz/C374/DDI54cVHTtZ6E6lUmg97pkmnM4x7F3Idkf7pqrugC9Je3jhvlNVSvhpsRjr2VYsWdzfq1ERjydzJpL1ah0qp4P1bnoJrCEVxt1MDgI2Sr9uDjVU81+ngcyddOcfb3/zyPg8m5vHOLLLPaSJdpNv3b03S3W5n3LtQ0sFL0u76WE23QrpJucYEFWplTrtGnYqvfeoAf/6L+yVpK5f7fHz1fMuO1+1GKadLh1m76vM/1engB3+xkj5sr9bl5uz88XD7wly55+XVc80sRuMYdUpmF2KkMxmSqQx/8MNruOxGDFo1kObUocJot1z90Gtu3rg4SiKVLoiSf+u6h091O6X3SEJCYkdQbGOc7nAAMOSZY3hyAe/MIvsbqqiv0fPW9QmWH9WcLWcT/8tfPbor7Qqx9Se8lKDeakSjyqYdRmNJfnnNjVGn4txRJ29fc6NWyfnuN7q5dG+KeyI19aQmDnuHdDpDZ5OFvtFZ0mkwGzXE4ikeTs7R2WzZc/beZrHdnHF/B7ye9+9kuQ/uBeRyGdOzS4x5w0SWErz+3nCBQS4sJMvx7GN6MDHP5067+H/+6jafe66JV882M+GLMD2zSIvTxAtH6nDZDLmXRXLA7RyK6zyNexd4+7qH77zWxR+/3kN3u52e4QB6rYrQQgy3N6uP0521XOrJFlwVOiIJTtrd5PDZCsqlfAmG23de6+J6v49xXxinzUClTk0qnebXPt3GlV4vh5rN6CrUvPHhw5JrFxfF3anjIqZbwegFePeWh9tDebr1PV63knY/HqvpFlYaE9y872d0aoHaGj1NtZWoVDKmZ0y0N5k501XLf/t5qSMOCrW7V8dkNV2KPX+jToVvdqnga5d7pzl7pJ5EKiXaAXV0ciG3ITr3TF2uYROQm/+72+38+7+5zXe/0V1Ql1Eul/HwUZfB05213BjwAWCu1HBjwMeNgZXoXAkJCYntSjkb48svtnCpZzo3r+bvmfayTSy2/vzj5TF+60ud3BkK4PaGaa6rpLZGz41+P18534o/tMSf/KwPu0XHyQ47494w9mpd7tlKTRz2DnK5jGA4xtU+H2qVnKbaSsamF4gn0jhqduc78zTYVs64wcHBCEBbW5uRrFPu/3jcz5jNOpRKxZqub7UaH/+hbcCDiRB3Bv0sxbILiHdmkcZaIycO2fno3nRO6MXtpqeDixxrr+UPvqXmg1sexqYXOHukjq+9fICW+q3vKLgWdsoYfVzWo1uA1y88FN2QXe/3UaFRYKvWcsBlJhCK0tliydW5yDc0INsRSeh6OOgO7YjnvV3v0Wo18v1vn+aDWx76R2c51FzNC8ecHGq2AHDeasRRo+c//u1dbg74c2Og1Sj59c8cZHRqnp7habpaLFSoFbloMIBDzdVYLNtzI7we7ZbT7bX7fio0cixV69ctsCO0u13v73G6BbBH4twa9KPXqrgzFOBqn7dAt3/ysz5cdgMOi7ZAt7B9tbtdbAWx5//JZ138vz+6U/C5dDrDoHsWdZl7Ft6J0EKsoGGTQCKVzq0L/+WnvXS2WHKNHT645SEQinL0gBVkmYKGHcJ7eH3Qz/GO2ifzENbIdn2HnjbrtRc2m50yDtJ9bi+ehm6LbQy5XJZ1GD0qE5JvVxQ732D72MRP6/eutv6/fKqp4LNH22z8wZ9cLmn25LQbmfCGOd5uQ6mQU2/Vb8s1f6M8Trd75f0tx4QvzKtn9zEZCDPpX6SzxUK91ciEb2FX6WCjbEQf28oZB9DW1tYA/D3wnwYHB//74z4fCi097iNA9uGIFTTeTrgDES7cnUatlLO0nCg86RaJGIHsQtLebOb9m5OcPVJHIBDGalDz2rl9BR7q7f63w/Yaoyc92a5Vt5A1Lvoezop+b9wb5oWjTn5xaUxUKxO+cIETw1Gj4+7QDJBNS9suz7sc20kTYuTetRdbRN+1d665S7pPHmuz8Re/GCgZry+/2MpP3h9GpZDz7EHbhv7up2EkrFW7q+m2f3SWU50O/v79kXXrFra/dne6bt+97ia8lCC8lMh9rVi349MLBbpNpzNoVIoNaXc76fZpjJ3Y8z/oqmJ8ujB9NbQQo7vdvmoHW3OlhkCotAPe6c7aknXhnesTnOywc+FO1oaIJ1M8s9/Kezc9Je/h+e6GXC3HMW+4JA3sSUfNbfd3SGA7afdJsJPGQbrP9d3Hk+ZJ61bMxjjdWbvq3qn4YE+YR2Hr7IqnrYnHrf8C7153Fzg6yz3b88ed/Me/vf3UGgBt5f5su7y/W0VFhZLmWhM/LsnUC/CV862Ew1GWl/duUuNq+lhNt9vKGdfW1mYH3gJ+d3Bw8J2tvp+nhWcmgm9umb/4xQDxRJqjB6wkUmnRiJJY0amOzawlkcimmz7fVXiKLYWK7g5WqzPUVFfJ9ExEVCvL8SR1NXpuDwWAR3WfHmlntxSk3S6IvWtCsVyha1VoIQbAcrw0iiWWSDE2Nc/XP91GS13lrkgPW023zbWVTPjWr1vh35J2N4fN0u3nnmsikUjvmto6T4v85y+WPgSsWsMvlkgRWojR2WIpcNhpVIqy47W4nMSoU6HXqkgkUywsxkU/F1mK8/cXR4gl4L2bE6Kp5tJYS0hIbBVCCRDBxlht3hMi4vKdb/nz6F60K1bbIxY3e1rt2QbmovSOBKV1YQ8Qj6cY8y6I24LeBamT6gbZVs444HuAGfjXbW1t//rR1z47ODhYeuy7SxjwzHO118vY9AIHXGaqKysILSyLnnQD+PNOdYR201OBRWkC3OWUq/PUUm/inesToj8TCEV58biTwFyUfXWVNNVW8s4NDy+fbJQ2zU+BdDrDmS4Hg+65XPqXw6Ln3vCM6Of9oSjNdaldNS7ldKvTqhgp8xwE3U7NLFJXo+fs0XoGRoM01VbuqmLK25WN6HZfvYnPPN/wlO90d7FaQ5L8r7fWm4gnU3zYMw1kjWB9hbLgkM5erSWToeBrkN1gWau0KOQyvMElOvdZGJoQ767r9oWZ8MuoMVWIGt5S0W4JCYmtQqgV191uz81zxVHC+QdKgVAUe7UOl8NIIBSltcGEo1rPlV6vZBOLUHyYaqmqKLsvzY82lNaF3Y1SKcfjy0bM579fsUQKjy+CUimXHHIbYFs54wYHB/8F8C+2+j6eNHK5jDFvmA/uTjHimcdq1tJgN3K5dxqVQs6r55rJgGhqSoPdgDe4xNln6nmuq5Z2p0mKgNsDFG/InDYDmQz86J0HPLO/RlQr++ormQsvU2fVMzQxh1wu45ufbcNllRbKJ0V+arjbH+HH7xWmYRp1KrpaxcfLatZy50GAV065ds07XU6379yYoKO5WvQ5NNdVcmfQx0vdDUz4wvzt2w842FjF//y5g5J2nyCCdjei29tDgVyHXImNU65wePHX3f4IWo2qwGn30jEnl+5No1DICS/FmfBFCuolpdMZTnfWFqSk+maXslF13tJxtZm11FsN3B4MiN6rVLRbQkJiq7jc580eCvRO57pBz4Vj2C06PIFIQYfozhYLzXWVJJIpEokUv/2lzlxDm093O6U5rAz5h6n7nWYi0fiqJRNAWhd2O8lkmqY6Iw12Y0mdWaVSJjWG3CDbyhm32/HNRbk7PMPCUoJ3rk8UbHbyaxpMBRYx6tQlp9oalYIzXbV0NlWTTKb3fO76XkPYkCmVcr7/324w7MmmkukrVKJaOdZm449f78lLLwpLYeRPCLc/UlBT6blOR85YzCe8lKCuxiA6XhVqJTUm7a4zYsrptrqyQvQ5nD9aDzL4wV+Id2GVtLu55Gu3c5+Z5XhpiYS9qNutpNyzFL5ettvf4dqCzoL5tsWNAR+xojSjWCJFhVopOq4alRJfcAmrWSu6AWtzmVcdc6VSLhnmEhISm4pcLgPIpVCm0xku9UzlonTMRg3Pd5XWNusdCfLdbx4vOdCT1q3yCIepVwd8zC7Eyq4V+gpl7msdzdVbdbsST4l9dVX89VuDJXbG115u2+I727lIzringDcU5b3bHgbH53DajSjkslVrGnh8Ebr21/DKmSYmA4tMBxc50FDF84drcdkMkoG7x0km07Q6K7FX61iOJ3ngnuNzZ5rwzS7h8Udob6zmuU47H/WWOoOk9KLNR0iXyHccDYyFQCb++ev9Pj77XBP+R+NlNWupUCu5Nejn979+7Cne+dNlLboVUkV+lBeZJSBpd/Mp1m4skSzbvXOv6nY7U7yRFDsAiCVSJFNpzh+vp380VHKNy73TfPpZF7PhZbwzS7lxvdw7TXNtJUcPWBlyhwqaeaxWX6l3PMTVPh8TvjANdiMnO+x0Nu6Mbu4SEhLbk+IDzzNdDib8YVQKeS5VzhtcQgaolApx+6HXh+u8ZD+slyH3HIlkuiTi0GrWYq3S0jM8g1wu4/muWqLxFH/4w+tPrdGPxNNFLpcxMDYr+n4NjM7y0jN1koN7A0jOuCeIZ2aR9+9MMTwxl0tFHZ2eRymXi35eyLuvrdGTTKY4cdDKF55rAqTTG4lCDjVbCqLexrwLGHUqfu9XnqHVYcQbimYdQiJIYeSbi9gG2De7lO2CKJL+Zamq4B8/GgPAXq2jtkZPIpHm979+bNcbLo/Trdsf4R+vuRkYE+/CKml3cynWrlgzAIG9rNudQHHB7XymZxaZmYuKRrml0xki0QQDo7PotSp6R4IkUmlOd9aSzqS51u/jcGsNjmodtwdnOOCqKltfqXc8VPB+u31hbgz4+M5rXTmHnPT+SkhIrAexA0+tRslr51sZmZzPpcoZdWpePOrkj17vEb2OZD+sn8t9Xjz+SM4uyI9C7B0JcvygDa1GyVdebOWNiw+lbIZdTjqdYXpmUfR70zOL0ru1QSRn3BOgbzyE2x/hjQsPS8I4T3XWrpp3P+QOcfqwg66mbKivJGwJMfoeBkVTyW4O+FHLZfz7v7nNAZdZVGdOm4FxX5gGqf7Wx0as45RwSmvUi6eaC927IDsvHGqu5qvnW576vW8Fj9PtD/7yJkBZh5Ck3c0jX7v5ui2XirKXdbsTWK17sVDTx2HRi47tMwesXO/3EV5aAuBMV11BB1fBfhFL88rnWr9P9MT8Wr+PKr2KS/dWIlukqAkJCYm1IHbgeazNxs9E9lgGraqgw2o+j0utlyhEsBGKyxnEEqlcE0GlIpsCElpYFp37377p4VPdTslm20U011WK13uur9yCu9kdSM64TebWSJA//3k/B1xm0YkpEo2XdD6DrEG8r87EC0frpZQOiVVZLQLi4dQ8kHVwlNtUZzLwb//ipnRitQkIG+AJf7ikYLClUsN3v3GcD3umGfLMUWvRo1TIudw7XXCN++N747R2LboVtCpp98mTTmdob6rCaTMU6FYmg6+cbyU4v8x9dwhHtW5P63YnUa57seBIvdw7zZdfbGVsah7/ozSjCrWSP/uHfr7zWhd9D2d5ODWPTIao/bJampdSKReNBAZwe8P89OIYtwb9gBQ1ISEhsTbE7AaNSsFyUf1LyM5R08HFsnuscqn1EuLkH/DkN8oIhKI02A0YdWrmIjE+0e3kf1x1i17D7Q3zp/8wwG++0i7N9bsAuVxGTZVW9P2qMWklm3CDSM64TUIul+H2h7lybxq9VrVqC+jpVDpbKym4xGRgkYONZs4cduCs0T/lu5bYiawWAfHMfivX+n0AJYtnbY2eSr2ad25MkE5npPpbm8TpDgfRWJLbQwH0WhWhhdhKweBvHEejlkMmW0LuUs9Uyc/vldPateoWSrXrqNGhUihyXSEl7W4OQtowkEs7AXj2kJ1PHqvnlzcnGJ0K72nd7iSEgtvX7vvpH52ltd5EPJniw56sI1WlkDM2Nc+9kWBuvAWDuu/hLF8938JsJM5/+Lu7otdfLc0rnc7gchjFI1rtBu4NzxR8TaoBKSEh8TjE7AZzpeaxe6zudjsyGXj8kVzHaWmuWT/5BzxCiurLJ11cujeFSqkgtBDj9mCgbFduISpbmut3B+l0hpsDfrrb7cTiSfyhKDazFo1ayc0BP6+ebtzqW9yRSM64j0l+UVGXw0BNlZbe0Vk6mqtXTUUNzkV5rquWzkZpQyOxfspFQHQ2m1lYjDHuXSjpMiUDLtyezOlNqp+xObhsBuqsBhaXC9t8X+6d5kq/j2HPPO5Hxcz3+mntWnQLhR3Szj5Tx9U+b0EBeUm7m0P/aJDudntJi/r+0Vm6mqv56J4Pp028i+rpzr2j252Ey2bgeEctwWCEdDqD2x9Bq1Ex6A5xot3O1X5vLs0oH+Gdeu/WxLo6qObbQKcPO0S10uSo5KOe6eLLSe+xhITEYym2G1arbSo4f6ZmFtnfUMUf/avzBALiEbsSj8dlM/D9b5/m3esTDLpDdDRXs7icJDgfy31GLpfRXGcqONyBwqhsaa7fHcjlMurtBi7dXdlb3ns07meP1EljvEEkZ9zHYGImwg9/PoBvdolYIsW4dwGNSkF3e3aTImqU1lbS5jJzwGnCZTNIopXYEEIExOU+H4PuEG0uMy+daMBqUJcYLrFEitBCjMMtatSqlc5TxRsraRLdGO5AhL9/f6X7p1C75HRnLffHQ5xotzHsmSuJ9nI5jHzyuHNPnRauR7cCMlm2JonDoiO0ECOWSBVoV9LtxpDLZYBctDbY+e4GAA42VvHL6xMlHdTaXOZVa4dJbD3CO+GyGXDZDLn3ZGExVhDBIBjUHc3ZOrW9D0NrdsDmF1bXqBRcuDPJma5aUukMo1MLuBxGnj1k58HEbMH7KyBFV0pISDwOl83A9755nN7REH2jQTqaLbjsBlHnT3VlRe7f++pMW3G7u45DzRasBvUjmwH+8IfXC75/urOWn18aLTjYs5m1NNWZ+Mn7w4A01+8W0ukMrU4TNx7VhxUO9TQqBS1OkzTGG0Ryxm0Atz/CxEwk160yPxImlkgRiyfpG50tmJhaG6o4d6SWJrtREqvEplC8ybJajQQC4RKHx776SqoMGqKxJJ0tFib9i3S2WujYl918FbeMlwprr4/LvaXFhWOJFMvxJB3N1XQ2V/PGo42tEO1lr9bt2aK2a9Vta72JGrOW+UhsRbctFvQVSk532CXdfkyyXTTj4rVNl+Kk05mcgzQ/wnbIHeLVR12+JXYOgt0hjKnQMVWwUaLxFGPeMO1NVbx1bW0O2Mt9XhKpNGe66nKfnV+M095k5luvtJNMpnH7Iywup1ErFQW2kkoh31NRwRISEhvD7Y9wpd8LyDEbK7ja7yW8ZM7Vubw/HsJp02Or1nH7fqDATpDYPIQ1JD9tWKjfF40lC+yEeyNBMmRLI6BAGotdQjqdwe1d4NWz+5gKRPD4IzgfZQeNexdIH67d6lvckUjOuHUyG4kz6JnnJ+8Ni0bCXOqZwh+KcqarliH3HHU1er76qQO0O7MnNJIjTmKzEdOU4PDwhqL84C9v0NVqLYmA6R0O8p3Xuvjj13t2RDvy7RgBJZfLGJlcEI36CISifOWFFhxmbUk02OkO+550xOWzUd0K0ceSbj8ecrmMpViyJAIKYMIXQS6XiUYy7oXaO9t1zDYDYUyHPPP8uMiOuXR3iu+81sV7Nx/vgBUKq5/urC1dW0aCtNabIEMuck74nkal4Fc/eYADDaacc283P28JCYmNI0TfdrfbC+cZb5j3bk7yvW8e54Vn6vjBX97IlbIYe5Sl9NIx51be+obZ7vNhfhZDcf2+/GipuXCMr3+mjUabYc/bu7sFuVyGRqXkzYsPUavkNNVWcm9khpv3/Zw/7tz22t2uSM64NdI/McfAWIj7Y7PYLTq62+25YuKwEgmjUSlwOYxMzSxyqtNBR5NZmoQktowP7kwST6RFO08BDLnnUKvkBd/bboW1t3ME1L3RWWzVWuK+VEHURzqd4UBDFQ6zFlhxMglRYBKrs5puY4kUtwYD2Kt1uRIBwtcl3a4Ntz/CxZ5pZopqHK6cfJtL0hz3gnbd/givX3hI38PZbTdmm4nLZuByn3hEb9/DWb73zeN81Lu6AzadztC5z4x3Nip6nesDfir1qpLfHUukmPCFuTHgo7vdhnc2yohnflc/bwkJiY1xuc8LwHI8CRSWq4glUnzU60OpoKCmLKzYA8c7dk6kzna2GfLJP6R7ODWPzawrqN8nl8s43VkLZHj72gQNdiMnO+x0Npq37qYlNoV0OkM4Gqe73U4qlSaeTNPRbEGhkBOOxiVH3AaRnHFroGdsloGxEMMTc1QZNciQcWvQn4uEEwiEotirdXzyuJMmh5SOKrG1CJELxSdXwkK5HE/SMzxDe1M1KqWiYDO+XYqt9o8GCyIrtioCSqiVASsRXb3joYLorPwI2RsDPp7v2jlG4HainG6F753urGUpljXMix1Jkm5LKdZufp0vKI3s3mtNRQSKn8t2jrb8uAjvmBiD7hBf+0QrDVZDwbtU/F7J5TLOHK7jv/y0F1ipPTcfiXOszUZgfpl7I0FRZ++4N0xbo5kfvzeyJ563hITE+hHmKYupAmuVls4WS0mTrEF3CIupQvTnB92hp1V0QtwAACAASURBVHzHG2enrT/55Uamgkv0DAeIJ9KYKzW0uaq58qhsE2RtjBsDPr7zWpfkkNvhqNUKKnVqFqMJUnlncAo56LVq1GoF8Xhp4IfE6kjOuMdw88EMV/q8ubopFWoltwb9HGuz5SLhhAnHaTfw8okGGqxSYwaJrUdoCf/+rcmCzlNiaUX5m3HYPsVWP7jlyd2nsNkLLcSeWgSU2x/hQs80w5456q0GTHo1iVSas4druZ73DAViiRQZMnzvm8eliNgNUk638HjtSrpdQUy7yVQam1lLIpUu+GwskSKZSvPiMScvPlO3LY3/J40QKZY/Xtst2nKzEN4xoe5PPvnvkOC8zY/W6NhnoX80yMDYHIdbzLQ2mGiwG3M14z5zupFfXBpbdX2pq9ETWlgWnT934/OWkJBYP8I8FY0lee+mR3ROMWhVKBXiP9/m2jmOn+JIZWEdun7fv23nw5yNMTHH0QNWbNU6bvT7SaRSotlj1/p9kjNuhxOPpzDoVCxGEyRSaWbmsr4RtUqOQaeSHHEbRHLGrcKAZ47/+kafaL2i5XiSuXAMc6UGb3DpUTSBQ9qAS2wrhNoOFWolGlXWYimX+rccT2LUqTAbK3iuc2siY/KjL5RKOUMTc1RolHyiu4HgXJSpmWwRf5lc9sQjoEoiiLwr7/8P/vIm54+L1yPx+CI011aSTKZFvy/xeIp1KzhJymk3Fk/SUm/iucNbF9El6FEul+GbXaJCo+TkIQcqpYzRqQXqrYanoltYXbs/fm+kJKobYHpmkTqrfk9GdcvlMobc87xw1IlWI2d2IUaToxKFQs6DibltEW252Yh1Ly6OiiwXrdHdbmfcu8C4d4Ff+cR+fnbhYe4ddXvDZd9Rl91AKBzDUqXl3vCM6H0J0a0SEhISz3U6eDPPuS8gzCmfPuEkk4G3r3tWncu2C2IRxkAuUrnY3g3ML+MORLZd9/JyEfbd7faVCPsiO8PtDaNUyiXbeAejVisgI+NqX+mh+BfO7pMi4zaI5IwT4ebwDPdGgsTiqbJOi7lwjLYmM4NjIZ4/Usezh+x0SB5/iW2GUNvhSr+P890NKOUyespsggJzUc4erad3OMhbNzycPPT0ajy4/RGu3/fhD0VpazQzNbPE6OQC3e02ai067g3PYDVrabAbc534TrXbcieGT2KzXK6mklC7ZGEpLlr83uUwSsbGx6RYt5GlONFYsiRtVcAfilJj1vLzy25a600FxeGfNMXanZ5ZIji3zOfPNDE9s8joVCQXVf3BLc8T1y08XrvFUd0AVrMWS2XFrnM6rYV0OsNL3fXMhmNMBhbxBpdw2g0oFDJOH3aUbJ52wzNaS3OO1XQkHO6MTM7nPiOWWi7gD0WpqdLhtBtZWk5QW1NYZ0igOLp1tzxvCQmJ9SGXy2i0G/HPic8pgbkojfbs4dF2bzQ0EYjQOzrL7aEZWp2VHGq20PcwyP3xOTr2VfP8EQcNdgPpTKbE3r07FFg1XXUr5sjHrQ3F/w+SbbwbSCbTuH3iB25uX1ga3w0iOePymAhEmA4t8WdvDmCu1KAuE/scCEU51FyNvUrLJ77sxKxXP+U7lZBYO/m1HdLpDIlHk2kxtiot71ybyE2qN/p9/E+vtFNXrXuiRo3bH+HdWx4Wl5PU1uj5u3eyHf7OdNXxxsWHZdOdrvT7AJ5IwdvVaioFQlHMlRom/RHs1YUbSo1KwbOHtt9p7E6kWLdyuYy/fueBqHatZi29I0FiiRR3hwKc7LDT6qzKXeNJ4fZHeP/OFPFkmgZ7ZYF237w4Knpq/CR1C2vTrvBfoeuZRqVAX6HkxEHbptzDTsPtj/BgYk70tLfuxZbcZ3ZCce31UPyO5bMWHQn/LxBaiJWklgvkv6MalYKvnG/lzlD2YEhICwZy0Sz9o0Heve7eVc9bQkLi8Qhz7ZB7nk+ecGKt0uL2iswpVVrGfWEarIZV57Ktpm88xMWeaYJz2QO7mqqKkm7w556p43p/+RIcYun7W7UmrWVt8AaXCISiHHBVMeTOflayjXc+SqWc6eCi6Pemg4solXIpMm4DSM64R9wdCZKSQc9w1lhczai0mbU011diN2klR5zEjkEwUE532Hn/VmlIv0atLOmq2vswyNjUPHTWPrFFfswX5uZggM+faWbCH35sSmIuKkMme6IFb1ucJtGaSsKm8sVjTg63WrjS68XtDeNyGHn2KUYT7hXy61eVS62ryNNuLJFicTlJ/+gsY9MLnDvyZGqgyeUyJmcipDMZlAoZk4HImrRrrtQ8Md3K5TLGfWGcNsOq2j17pA6lQka/KkStRU9LvYkDTtOedXZcv+9ncVl8zMamF5gMLu6o4trrRWzzulpdOUFHQIGdFEukClLLBcTe0UF3iC+90ILbt8Ckf5HudjsnH0Wz7LRi5hISEptD/rv/wlEnt4cCZecUXYWSi3en+bVP7s99fTs44vIdgr3jIf7zT+5x/KANu0XH4HiIubCu5G8pt/4I9m5xc6qtnCPXujY47QZ8wSWOt9s41maTbONdQDKZpsFmEHWON9gMUmTcBpGcccDQxBwajZKb9/14fBFgdaPyZIeD4/trtup2JSQ+FsXpSU21RirUSt665i75rMcX4ewz9dwY9G96Lalsep+f+cU4nz/TzIOJOWYepSOslu4UCEXp2GchGhM3Xj5OAXDhpFGhkJNMpspuKoFcGsShhiqpDsZTIl+7A+Oz1Fr0KBVyLvdOF3wuEIpSU6XFIJdxY3BzCyALGlEp5ei1KsamCg3Sx2m33mZ4YrqVyeS8d3OC7nb7qtp9vqs2F0UA22MDs1XI5TK8s0tlx2x6ZpH7E/MlX98LzQbW4vzWVxTaSZd7p3m+q5ZkOoPHF6G2pvw7GghFc448oePe777WxdV+8eY4l/t8e7KmoYTEXiG/kY5KKcMfiuIJRDjdWZtrEmM1a7FWaekZnkGplG+baLj8SLXOfdV0ttZwrc/H80fquHA7O486LDo8/kjBzz3OZjjgqqJSr+G/v/OAM50OGu1Grt8vP0c+jTXpcWuDRqVAhoyRyXlGJue5OeDnu984Ls3fOxyNRolRpxa1L406NRqNkmg0sYV3uDPZ8864G0MzzCxEmfBFCC0s47Qbcsbh5d7pggWgsbaSrlYLx1slR5zEzkYI6Vcq5fzw5/eZX4yLLpBOmwGPL0JLQyX/5Wd9mAzqTQmFF071ai16DrdamPCHmY/EqLfpcfvCq0amCqdtSqWcM111BR2bgJITxPXc07/7q1s8e8hBIpngSp+34P132gxU6tWk0umS00fJEff0cNkMNDmM/M27w4SXEiWNCCB7OqtRK/D4I9RbDbx1Y4KDLvOm6VYul/GV8y08fOSIq6vRI1fIHqvd2ho9M3PLm67bH/zlTWRyGcfarFmDvGjtctoNVOrUpFKF2pWM4uwzcFTrAMTnG5uB8GKMrlYLapWyYNw2OmY7BbG6ch37qukfnaWptjJXm8lpMzLoDuU2yqk03BoM8OLReubCMdF31GkzcPO+v+BrsUSKD3ummY/EcFh0uY62AgPjs/zRT+5RY6qQ0lYlJHYZ+emP9mot4cUEVrMWty+cawpgrtTQOxKks8VCcH6Z49uktIKwDidSaU531uINLXHvrcGc3Sh0MBezD1a1d20GfLNLmCs1VOo1vPHRGDOhKHaLflPtiPUirA0f9kwz5Jmj0W7EYdFzY8DP80fqyGQoOICJJVK8fdODN7hES32lNH/vUGQyGeFoPNfIUljzK9RKwtE4MpnUfGkj7Gln3M3hGXofzhTUiXntpf05j286neFSzxRGnYpvfaEDjVJBm9O0xXctIbF5JJNp9FoFrioDt+77S046DjVnN15vX5vAVq0lEk3y7/7qFr//9WMfayEVTj8PNlXx1lV37vc6LPrc+1cuMjX/tE2sY1NxAfC10jc2y7OHHIxOZaNghPdfMADvjczQ5jLzu18+vGs33zuFdDqDQg62aq2oRvRaVc7B8mBijrmIlqmZRV465twU3X7qWVeuPhxknTjnnql7rHaVCnnZTmMb1e31+z7MlRqePeTgzlAAKNXuXDjGb3+hQ3Ial+FUp4NfXnOLjhnI+Kcrbrrb7dwY8BWM20bHbCchVoups9FcsuF788OH6LWqgrpw4aUECoVc9LlW6tUlkR2QjUTsbLHkNtwV6hUHqLVqpe6clLYqIbG7SKcztDdV4bQZWI4nmQ4ucrzdlnvnY4kU3uBSQZT3vvrKbTEHC7bBma46bgzk1X7zFtZ+E7MPYolUSYQxZOdJp93Iw6l5yMCbeTWUx4uuK/A01ySXzcCvfXJ/QYT9q8818n/+2XVGJkujyd3eMPFkin+66pbm7x1MW4OZv/qnQYCccxzg6y+3beVt7Wj2rDPOMxNhdHIeq1mLWiXPTXA/vTDCl861MDUTweOL4LQb6GqtwaxX07DNWktLSGwGJw7aef+Ohy+e24fHH8Hjj+C0GTjgyk640Vi2A2N+EfqPEwovnH5qVApmHxXtdlh0LEYTjE7Pc6qzlkQyxaQ/wqtnmwnMRRmdXMBpMyCTyUpO2/I7Nm2knX02tcDHwNgs9TY9zXUmItF4QR0kodC9xaTdFoafRFa37932cLLTQTKVzqXE1Vv1mAwa/vs/DZYUQ3bajJui27nwMrCiW71WxbUBP58708SEN1yiXeHkUNDuZugWwB2IEJiPoVYqCIULI7uF3+MNLnGk1So54lZhv7OKew+DvHKmicnAItMzizQ6KpHJ4Vp/1tmZehTZkN9JdCNjtlMpnvfy/+2yGfitL3Zy4fYkaqUCq1lLc52Jn1/KNjHJj9K0mbXoKpQE58XTsmxmLe9cX2kkpFEpeO5wLdf7fSV153Z7mrCExF7jULOloLmBJxApSHsXIs2C81G+eG4frXVbHyAhl8uYj8Q52GhGp1lp/CcchoUWYgXrvRC5nmHlb2quryQNRJdXoo2a60x4/AvoK1QkU5nHdi/dqB3xcclfC9LpDJYqragzzmkzoFIq8Iei0vy9Q1EqYcgT4tWz+/DPLhGJJjjQYMZWrWPIE+Jzz7m2+hZ3JHvSGef2R/AEl5iLxOl9OEtni4V6q5GfXhghmUzz+rsPONhoZn9DFR0tFp5prt7qW5aQeGK4bAZefMbJkGcelVLB/oYq1Mps9JngiBMQFn9/aKmgy+V6HFTZ008zXa0WEsk0nS0WAqEozS2VmPQagvNRrGYd8USKQGiZW4N+Pv/8Pq71eUUX+MBclMMtFiwm7brb2RcXwRU2f6+e3Zc7jRXYKkNHQhyXzcD5o1ndjnvDOCw6amv0pNMZBsdDoobryOQ8n+52bli3BxvNZDIZLCatqG6jy0nmI3E6Wiy8eXEUp81ATV40Tz4fR7cgrt386DyB7Om5pNvVeOCZwzuzyPTMEl0HajDqVIxPh+lstXCszYrHFyENnDtazwP3HJ8708iRfTXSRiKPzkYzJp2K3tEQdx4EiCzF+Z0vH6Z/dJb+0VnqavR0tdawFEuyHEtiMYlHtYo1EpLLZJzqrOXi3cmC3/kkU7J2c/qxhMR2pe9h4VqZTme4cGeKM111PHPAilyWYTmRprnOxKEmM64tDpJw+yM8mJyjzmYAGQy65+hssdBcZ2J8eh7fbJTOFgvWKi0WUwVTM4uk0xluDPg41VlLPJni5n0/N+/76W630zsSxFypwaBV5yLhxOrMCQRC2evXbNCO2GzS6Qyt9ZXcHQqUZrXIZFx55Ii81DNVMn9Lc+7OYMq3hKPaQDKVZmYuSoU664Ce8i9t8Z3tXPakM27cHxGJmgjwpXMtvP7uAwAspgra91VLjjiJPYGQiuSbi/Ln/2MAnUbFzNyy6GcDoSinOh2MecMbbqt+qLmaqcAif//BSIkjrLvdzjvXJ/jiC9n3MZ3OMDo5T5VRI3qtRkcl3/rcwXUv4nK5rGwR3PHpeU522Fl8dErpchj55PGPl+Iosfnk6/a/vtnPwFi2ltV8JC76+engIlPBJT64M7kh3Z7usFNv1fNXIlF33e123rvpKdCtxx/BVq0VTcdrrq3kNz67Md2m0xku9kyXXPfDnmm+eG4fE94w/ken622urd+wbHcu9UzzYc80r720n589mpPOdNXxi0tjJeP8+eeb0VcoUasVj7nq3qPBaqDBauCVU66ClNZ/1Kl44+Jo7lm+cNTJ/bFQyRxr0KpEGwmNTWdrMxa/K+tNyVrLZi+/CPt65wcJCYmNk18zrpgJfxiHRcv1/gCQ4XBLzZava965KO/fmSKdTheUO3L7wvSOBOlut+P2hQvWjuv9vlyWx8W7kwXz0XI8e/gdWogRicZz11utppy9Wkv3ITsn9lufwl+8Ng44qzh9uJZ4IoXHHynIDEinM7lovo5H++uJQISPeqU5dyeQSGQ4d6yOv35rqMQ2+tqnD5BISM7UjbDnnHEPpsIMusWjJqYCEYw6FfFEmiP7rRzbZ9miu5SQ2BrsVVp+9aUDXL/vR6lUiC7+NrMWl8P4sdqqP5wM4Z+Lib6HgkEy4plDpZATS6eYmlmkrdEsGklhM2vX9Tfmb7bsFp1oEVzfbJR4MkVoIYa9Wsenup1Smvo2xl6l5Rsvt3G5z8fDqXka7EZR7bY6TfzgL28QXsp2e1qvbl22bDOIteo2lkhh0mtEdVtTpV3XSXC+bvc3mFCJdJFLpzPcHPADGeLJNEPuEK8+17Sm6+9V5HIZA2MhVAo5I565XLrPcly8W/N0cPFR7b9p6mr0nDhkp7PRvEV3vz0p1nRHUzVvXBzN/fvi3Ume76pFrVRQWZPtJHj3QYADZZxr2cYnhWmt64lUXquDrTjadL3zg4SExMbJRp9XMe5dKPmerUpLcD6W2/j/5itb17ihdzzEtX4f0zOL1FsNLC6LrxX5KaSxRAq3d4EXj9VzqWdaPMsjFMVcqcn9f/61ytWh1WqU3B2a4XS7fduUonDZDHz6RAN/+g/9xJOpksyA4Nwy5487icZT/MEPr2GtyjrrJvxhac7d5iiVMh5MzInq/cHEHK8817hFd7az2VPOuJvDMyST2dpCYnj8Eb5wtgWzUc0xqWOqxB5FiDZyByKioeYvHK3n3vDMqm3VV3MyyOUyqk06bg0GRb8vGCTCf73BJaxmLR/enSro4NPoMKLXqtGo5GtyaMjlMsZ94ZLNllgR3Aa7gVA4xpFWK6c77JIjbgeQX2h+zBsuKKIMWe06qnU5R5xAce2S1bQbXk6WXT/EdAsQnI8WRAA57QaUCjk3B/y8evrxhst6dAvQ6DDinV2ivcm0LdJWtjvpdIaDTWZiiWRuAySMoxgeX4SaKi2Lywku3p3iWr+P77zWJTnkViG/K+vDqXme2W+ls9lMg9XAj94byTnOxTacRp2KI601OK06Lt1b6eq6Vm2vx8EmFGHPR6ptJCHx9Djd4eD9W5Mla7e5soKl5SSvPNfEiYO2LXsfe8dDuZp2DouOSDRRclAgUGwL+EJRFPI5bNXiNdUaayuRy2AyEMFm1hUcKObqzGUyeAIRnNaV2nkWk5b/9NNeTHr1tokqc5i1tDpN/NPVbKRzfv28E4fsvJHXjEKsyYU0525fJsrYwOW+LvF49pQzLji/zFRgEUeNXryFtN2AzaLlsEsyqiUkXNaVDdSgO8TBRjOnDtlpchh5/b2Rks/L5TJkchk/em+E++PZz4ttmNLpDGPTYZw2g+h7aDVna2wdbrFwbySY65wVjSVz3Y3PHXVy4baHl081UlfGUSY4VTwzi1y6N8398TmcNkO2AUVeJJxYEVyjXsO3pe6TO5J0OlOw+c9t3jvt/PkvBkV/5sHEHO5AhMu5VAlx7V7um6TBvjbdQtYAVauUXLiT7Wxqr9ZRoVIQS6SzBZtXcVi7/ZHH6jaWp1vh932i20mT3SjVXlkHpzvsfNQzRb0rO7arpQU5bQYqNEr6HmbHOJZIcXPQLznjiih2aue/S9f6fSwsxjjd6WDIvZKWJmw4l+NJgnPLHGu34Qsu8j+ujtPeaOZ0p4OvfaJ1Xdpeq4NttRS5J1mbTkJCYoUmh5HzxxsIzC3lDq/s1Tpu3w9gs+g40W7b0vTUa/0rh3yhhRhNjkqsZu2qNoGA02oglcrgshm5pSo96G6wGXg4OU91ZQX1NkPB2i7Umfu1lw/g8Uf4/9l78+A28/PO84MXF0EAJEAQB0kQPEWIIkVdlFrqltStttttdywf6R47Hk87lZ1sdqe82a1UqjbVqdqazPwxqdRW9o9xZWZnspOZxONx4tiOj7Q7trvdbbXusyXxEKmDJAgSFwmQOAji3j9AQADxghJ1kKL4fv6SQODFD+/7/K7n9zzf58otf9m8/0Kf9X6V0m8c2NR7VBgrj/TZOPXJLPudluIh+kB3I3K5jFSmfG29eh0ujbnPJqlUtqJQWAG7VUcqJe2ZHoVt44z74MIU//DRfS0YsXDffTvMkiNOQqKE0mijwqRYLZXgSH8TH5ak8OUjENwVUSMKhcCd6QWO72spW1AAZSXr7VY9ulollgYtM/4IDqu+qD3x3rlJstkc/lCc5USaXa2G4jVc/igXRr0Y9RqS6Qw/LdEqqhZRFAjF6es0IZPlozPI5SRH3BZHzHZ7HPVMeCpPpA/32/jTv1kdPVNuu4IgY24hyY5WI5dHq9vtjlYD/oU41oZaetuNjE4Ey2z3o2sz7O8x02Wv1CN1+aO4/FHCS8mHslt/KM6xvc2MuxbK9OGkBez6cJh1vPXqDmLLqWJKTbW0oDqtCktDbdnnJ2bD+BbjWOvXlzL/PFItJbRahNqbJ7qKfTKbzXHmRt5x/eaJbn7w4Z2y6InC+3taDQ+12VyPg22tFLn1atNJSEg8Gtlsrpja+OlDDk5dc3N2JZp90hvm+nhg01IYFQoBl7e8WrlcLmDQi0tRlFZ/VivlKOQy3P4omhoFL/RZixVi22x69jnN/OWPh4tF01QrDrZYSXVVfa0qf3C4yhGSSGWILd93ZL133kVjvZqDOzc2Ml5s7P/dL/Txn380VKYvduPOnGhUf2kkoTTmPpsoFAI7HUauiKyBdzqMKBTCJrZu67JtnHGXx+4bTunpayAUx27R4WwzcmCHlJoqISHG6klxdSqBWiknUUVj6dS1GQRBVnSYpdNZ2pr0/PDXdzl5rINJTxh/KF4Wdn/yWAeWeg1jEyG0GhXzi8vU61SMu0JlaYaTs2HMxvvaW4UN38ljnfz09D16HMYHanlAXgfPH1rCF8ynG7zz9oEnewMlNo1S2xVLgdHXKvEFlx5ou9lsDm2NnEnPIiePdTAxGy7OHwW7/eLLncjl8OJAE7KcjDPXPaTSGUBWppviX4gjuxfi1b0txfa5/FFGpkK8d27yoe3WbNRwYdiLVqOU9OEek2QqQygc53dO9jF0dw63L8obL7XjCy7h9t0XoY7Gk9y9sViWftRuq+Mfz0zymYOt2zqlvZrD7Y+/caBqhJo/GEdfqywb11VKAZcvIvr+MdcCPz09wcmjHfTYDWvKIqzXwVYtRU6qoi0h8fRx+aOMuxdJpzOolALe+dgDZSU2knQ6S3+3qWy9cG7Iw/G9LWVrArNRU6ym6rDqi2uESDzJro4G5hfjqJQKro4FsBg0nDzeyQcXXUVHHMDZmx4+NdhKJguNBg1KuYBOo+TGnfzBRWnaZyKVKXNkeeZiTHnDvH/JvWGOS7GxP5XOFvXyShFby8D9SEJpzH12yeVgbDpUJhlUWBuNTYd4/QXHZjdxS7ItnHGuuVjZaUbp6Wtfp4lgeBmDVrWJLZSQ2FqsTgM82GvlwohX9L3+UJzr4wF88zG6WupxmHUc7rNxedQPyFAIAo31GgSZDLlcYHx6gd6OBu55FrE0aogvp+hoqWN8aoEeh7GsKlPhtLCwqTo37EWlFJgNRNFqlFV1n0oXLmqlnB6HkbnFZV7Zb5d0tp5jxNJXX97bzH/68bDo+1fb7r4dFu7OhnH5wtRrVRj1atz+KLU1CvS1KgKhOLVqBcY6NclUlp42A+NTCxj0alqt+qLdWgwa9DpVmTPg2m0/gYXEuuzW6TAyv7i8Lg0tiUoEQcalER99XSaG7sxhbayhu6WeH3x0h2Qqi7FOXUw3euOldszGWv7p3BSCIOPoQBOZXI5pX5RfXHLz2uD2rbpczeE2NBGqGqF2Z2aRd94e5NefzDI6FcRs0GAzabl5Z070/YFQHK1GWeaUO3PDW7Uww3ocbKLp7VK/kpB46gxNhfjLHw/R4zBybTzA5460Vx0DNiOFMR/15WN0Mkh/l6lsHXrupocvv9zFuCuEVqNk6O48V2750dcqef2FNn5+YQqtRslSIs2br3QjF2QMTwR5eW8LR/qs9Lab+Iu/v1H2fdlsjlPXZjjQa2V2LkoonEClFDjSb6OjuZ5oPEkgFC+2JZlKc+NOfo4qOLU20nG5euzPS3TIueOuzESASj09tVKO2VjLK/s10pj7jDPtixZ1/gpro0Qqg8Om3+ymbVmee2fczHwU/8Iy1oZa0dBejVrO8X0t7G6X0lMlJNbD6jTAcCxZ5vQuYDZquDcbJgf86NQ9Th7twNlq4Guv9/Cd98YqJvCvvrZjZaAX2NFq4I5rEY1KQatFTyqT5eqYnyP9TVwe9aGtUVCjViAIMgBuTS3Q3lSH2x9dU/fJYdPjCy4VCzQ4LDo+M2iXwuK3AWLpqzvbjKLRM2K222LWoVbL+fbPbhVt99ZUCLVSzsmjHcgVMhRygdHJEMlUhmN7m/HMxTj1yWzRbmtrFGjU8mIbBEFGbDkj2e0mkc3m2LOjkQvDPnzBJT59qJW50CKvH25j2hfFMxfjQK8FnUZJKJxgYibEyaMdAPz4VIkQtS9fOGQ7VoJbKyX0xp05uuz1VSPUbEYNX/tUN9/64U2G7s4zdHe+ah8obDRVCnnRKeedj1UtzLBeB5vY+CAhIfH0mA5EOXVtpngQlc3meP+iq+oYsNEpQ0iJEQAAIABJREFUjKujvgoVXb9wrBPvXAy7Vc+92QVeGmgmvJTErchHUjtset49O0k8kS5G+P3qspt/8z8d5J+90lX2G8QieBOpDNYGDdfG/MVIpFuuhWL1Uf9CHKVCwFQvY0erkUuj/or02I1wXIqN/YWovWoa7W02PfU6FUP3gsUxud0mad0+68jl+Wfn8uYj1wvOVID2pjrk8k1s3BbmuXfGLUZSLC2naWvSc2NVBUi1Us7uLhMDkiNOQuKRKUyeR/qsfHTVLaqbYdDndZUKm6cPr0zT12muiKIA8AfjpNM5mswa0pkcyUyGy6N+7FYdPa1G5HJIp3N89bUdTHnCkMuVOFUMnL3pKS7iquk+ffqAvWLilxYB24vy9NX12e6ujkaRam9q/KE4LRYd/3DqHl8+3sX4dIhfXXZjt+r4+md3Mu6a57de28FyKstiJFGmV6WtkdNi0Up2u0n0dzRwbzaMyxchlc5yfshXLOhibajF6TAy5grh9kWxW+sw6tXMzFVWD9uuleDWSgk9sNOC2x8RtelChFo2m6Oxvqb492p9oLDRLHXKFSIsqt37R3GwSf1KQmJjGJoI4g/Fyw6i1tLt7Ous1Ft9mohFfRUqbqtVCvzBGJdvBchmc8X5ol6rwh+Ml6WeQv7gT2xsqRbBW6tW8LXXevjOz+8fXLv9UY7tbebk0Q6mvBG8czFqVHJ+5/O7mPSEGXOFivdtIxyXYmN/vrgFNJu1os+w1arn0/tbeOvlrrJ1kMSzTTKZrfpMmxprSSYlre1H4bl2xgmCjKVkhu/+fIxUJlumE9feXEetWoHZWPvgC0lISDwQh0XHN98a4NS1GfwlOgJXx/zsd1ow6GF2LsbeHRoa62sYnQwVPysIsmL/HJkIYjPVoq1R8e2fjZadRl4Z9fP2Gzu5cXuORDLD+SFfmb5bYUHTYtajVgYq9CG7W+s5PtCMwyKJ3Evc51Ftt9RuA6E4y6kMofAyX/3UDv763Urb/e03epHLZXzvg1H+6F/sL2vDvh0WRqZCXJXsdlNoNet4eV8L464QwcXloiPOWKfm1YOt/I+SzVDheZ44YK9IWYLtW31zLU3G0zfKbbpYcKTESVb6+UIfgHwKcKFPnhvyiDrlCqy+96uLNEhISDw7CIKMa+NzxYqkGvV9B1xhDEgk02Xz8shEcMOqV5dGfa2e71OZLLU1Ck5f9xYLEiRSGVy+CO3NdQzdK0+zXUsLba0I3v/x/u2y+ain1UAum+Mnq6KyLwz7ePtzO5mYCdPfZUJbo+BI/8Zor60e+xOpvO5fcDFeUYhCW6PA2Vq/LefIrY5cLqCQC6LPVCEXkMulAg6PwnPtjFOrFQxN3BfNLujEGevUyAWBbC5HxzY7vZaQeJr0txkRBBnXxwPcmw1j0MN+p6Xo1NjvtPDhFXf+vSUpCIX0vcKCA3LkcjlR/aGRiWA+FcAf4/e+1C+aknRh1Mebr3Yz6Qkz7YvQ2VLP64fb6JY0DSSq8Ci2W2q3AL7gEnaLjqWEeDGToXvzaFZOuldXgyzYse51J7emQpLdbgL9bUb+ze8d4d//7Se8NNDMcjJNLJ5i3BUSfZ6BhXjREVRaHW67VoJbS5OxVKu3oDMzt7BMKp3h4oi/qPn2ztsHOH3Dw7h7gUQyja5WxUB3I3MLcaZ9EQ7325Ahq3DKFSjc+2pVXSUkJJ4dstkcXS11ROPplbUfZRv95WSaeq0Km0nLLy+6SKQytDfVbZgjpzTqS2y+tzbUcmiXjWg8WRYtNDkb5uieFrzzMQILcXrbGh6ohSYWwSsIMu64F4vz0UIkAciILadE56TrtwMcGWji794fRykXeHW//encGJG2l4793S31WE0aQpEk2hols3MxGo0aLIYaejtMnB3y8lfv3pLG5i1GNptj2hvl1Cflc3kileH4vpZtue55EjxRZ5zT6dwxNjZ2+0le83EYm15k0lOZg++dX0KlkPN7X+rfpJZJSDy/7Go1oK9RUKdV8cntuaJT48qYn/6Ohoo0JIDlZJpUJltccORyFCubrsbti1KvU3HmxiyXR318862BslPS1QsahUIgnZZCpyUezHpsV1+rZHmlgnDpiXkul1+Ii+H252339PVZDHp1xel+wXaPDzQhCDLJbjeBHa1GDu6y8pOP81EHu7tMuH2V6ahQLkJdqA4HbOtKcA6LjvYV53FhYd7faSSRShcr/xV0ZsyGGn7y8QSJVKZM8+2ff3oHv7ji5h8+ultWsdtYp0alkDMTiPLqfjvJdIbTNzzF7y5EnlSr6rodtfwkJJ51jvTZ+LPvXOVwfxOpdIbTNz0VG/0DOy3F91dL9Xya7Tt70yM63wdCcZLpNNaGWjxzMWbnYkBe2/L9iy5USoF3vjGIzaB56O9b/dv291p493R+nLSZaonGU8wtiK+PfcE4pnoNx/a08Otr7g2VTCisX3wLcf6/n47w8fXZ4gG73aLjd0/uIpHMSGPzFkYQZEW/ymrNuMnZcFG/W2J9PLIzzul0itWv/Qen0/k5QDY2NuZ69GY9GVzeRVotOlFR+aZGLd0t9SwtJTehZRISzzetZh2tZh0HnBZOfTLDyGSIowNNjLvui7wWUhBq1XLGXAvFU8dUJsuxPS2oVYKo8KvdouPm3Xz4fyKV4eKITzRlobCgkRwaEuvhYW338y+288ntvB2u13bXslvI2650wrh5+ENL9yMcPGH29pjFn6dVx5VRP5B3zB3b24xCId+2QtRi0WgA8WQWlUJeltKrlAuoV0W1AQxPhmi36Tk3VK7TVFj416gU/Nt/eYh0OovLH0WjVlakdf3dh3dEo0a2o5afhMSzjsOi44++vp/hyRAXhr1A5Ua/cPARCucjw/7uwzsbFlHlsOj4/a/s5b+/dwugIkKuUNDhhT4rs3OxfGVQgyavSd7duC5H3Gqy2RzzC/Hid4XCCTqa6rBbdaJzksWo4fb0Ah3NdaiV8g2XTHD5o/zysptUOls23t+dWeT0DQ/pTFYam7cwuVy+kFi1ohy57bfseSI8TmTcNUAJzAEFV2gzcArIAZ2PclGn0ykA/wHYAySA3x0bG7uz3uvodCoWYynkgkxUaLCjuU5yxElIPGVsRg1fOdGNNxTnwoi3rLJSIW1JX6vk0C4bC9F81MRLA82cH/Iw2GsV7bvNZh1nb96PhnB5I1L0m8QT50G2+/MLLgZ7rfiCS8UT8/XYrmS3zy4TJRH1yVSWrpZ6Lg77Kp5nt72+6IyzW3RcGPbywi7btnXErY54iCfSXBiu3LT+1qd7CIYT/OLiFFCuxXRh2MvScood9vp8gZ5VlKYAV0vrqlbVdbtq+UlIPOsU+nI4lqy60U9nsnS1CPzi4hTZbG7DIqpc/ijf+t4n9DiMZfN9KYlUhkQqy+E+G44mPZFYgjqt6rHbJgiysvkokcrQYtHjD8bEC9yoFRjIF50y1qk3VDKhWtXZgoSDL7hEYGFZ9LPS2Lw1EATottdzaaRyPdRlr0eQJOMeicdxxu0B/hL45djY2P8D4HQ6r42Nje17zDZ9CagZGxs74nQ6DwN/DnxxvRdJp7O4/VEujfoqRIPbm+rosNU9ZjMlJCQeFptRwxdf6sAViHJ9PFA2iCdTWXrbG/jJx/dQK+XFhc5qEXu7VYfdoueHH5X75h02veTQkHhqVLPdRCqDXC7D2lCbr6q2TtuV7PbZpbfNWIyotzZouDUVYrDXWraOqFEpGHctYG3Q4AvGUchlJFNZGo2PHgWxlRGrOBhbFt+0zi8uo5BTrD746UMOTl1zE1lKAflN3PG9zaKbTVO9mn/9V5fKtIZWVxeuVtV1u2r5SUhsBVz+KKZ6tWi/l8lAqRA49cls8fWNiqg6N+wlspSiRqUozvdieFZSVGfnYrw62EK7te6x25bN5srmI7VSzsTsItfGAxV72zabnsVoglwuXwXeH1pioNv0WN+/HlbPAbDipFyRcLA21GKqr5HG5i1MOp2tuh66NRXiMwdbN7uJW5JHdsaNjY25nU7nG8D/6XQ6/wn4XfIRcY/LUeCfVr7jvNPpHHyUi8jlAp65mKhocCAU5yuvdhOLSZFxEhIbicMsUjGq38qdmUU6mutIpjPFhc7qvusLLuH2RcscGGqlnEO7tq8+k8TGsdp2d64UfPiNo+1cvz23tu3OL3FvZrFou5LdPtuUVoZTqRTMBmLFU/5SHSOHVc8+pwWtRsmUJ8wLfVbOD3n57MHWbbWxEItGM9apq25ax1whfu8LfUSWUsSW09y8M0ePw1hWlfb0DQ+/9eke5heXi4LgyXSGv33/Ntlsbk2tIbGqrmtVMpSQkNhcClFVgiDjjZfacXkjZRv90zc87OsxVzjqnnZEVenYdm7Iw7E9LSTT6aoyFEqFnEQqjdNhxFr/ZA5mSsezwrhabW/b323i8q1ZXh1sxWHTMzoZpLfV8ETasRZrRST7Q3Fef8HB/h4zgDQ2b2HkcmHN9ZBUTfXReKwCDmNjYzmn0/kt4JfA9wEDgNPpbBsbG5t6xMvWAYsl/884nU7F2NhYej0XyWZztJbkNZfqD7RtUz0XCYlnAbHUovlIgplAjFg8RYujXAuj0Hdf6LNhqlfTatUx7YvisOk5tMu6YSXuJSRW2+61O/P8t5+N8OVXurh5Z66q7b68vwUAlUIu2e0WoFAZ7v0r7rzurD+Kyxep0DFqa6qjs6Wen52exNao5dfX3LywopO2nRCLRguFE2UVs0txOoyk0hnRFNZCSlM2m+PsTQ9/8jsHAfj7j+7w/uXpsuuURsYU+qTLH+X8iJcTB1qJxpNM+6LsbDM+sJKhhITE5lGIqrKZarky6scXXCrb6EN5wZwCTzuiqnRsy2ZznB/ycGLQXiV6T8b5IQ9f+0wPp697ePP4I6k1VVCYj07f9DLhWaTJpBXd25qNGsamQrx2yMEvL7ro72xkJhDlrZe7nvqed62IZLNRw4dX3ezvMeOw6Pjfv7KH80NepryR4npIGpu3BqW+lYr1kORbeWSeRDXVa8BvAyeAY06n818B/xd5/bhHIQzoS/4vrOWIMxprUSjkon9rNtWKDpi2Ri06XQ06Xc0jNvHZwWzWP/hNW4jn7fdUYy27fRy22v27PR3iF+cnGZkIMbjLwqFdVox1NWULMMj321arjnA0QbNZS3tTHYO7rHTbt55DY6s9o9U8DdvdavdkdHKeC0MePhnPR/SoFHJeO+QgB6K2a22oRSnIaDJpOdBrYWfbxqWOPEm22nMqZT12azbrCUSTeUecL4q1QSO6lrA2aPjJqXs0m7Vkslk0agXdrfWYTJu/sdjoZ/XqQUdFxIPZIH7fXj3Yyq+vukVTmgpVaROpDLs6Gor30huMV1xLEGTIZPDdX91hfHqBHfZ6kql8hdVCCqy1oZZPHWqlt31r9jl4euuFh2Wr9Hupnc8W67HbWysFkkqd+KUbfWBFEmCpOA4UxpIH3c/Hvd+vHnRw6pNZ9jstLCfT3JoI8fmjHXjmY7h90WL0XiGq995MmMBifF3fu9Z7RybmuXjLT41KIJXKolYK4npxKgVGHQgyGf2djZwb8vDZw21PZD56mN8iNgcU2pXK5PCEljg/4mVkIkRzo5bd3Y18cHmaSyM+/u3/coRdHc/GGP0gu90u/bca28G38jg8in08CWfcvwT+K/ATYD8QBw4/xvXOACeB761oxt1c682h0JLo6yqVnGg8xQt9VpaW0/hDcZoatWjUCqJLSRYXl0gmM6Kf3SqYzXoCgcpT563Ks/R7nvZgW81uH4dn6f49CFcgyqnrHu5ML2A2auhsqccXjHPXvcDBXgsnDtiZW4jjX0lT0NYoiMVT3Jpa4MWBJm5Nhfj4k1l2tht5ZW8LNqNmS4i/Pu1ntBGLhCdtu1vJbgGGpkL8+toMgVAca4OGHoeRcdcCapWciyNeju9rIRRexh+KYzFqaG+u5+KQj6N7m5meDXN7eoGFaIL9PWZ2dzbgsGyN08Sn+ZyeJbs1m/VcGfbw5397jSP9NqZ9EWQyytYSFqOG2hoF4ViSuzOL3J1ZRK2U86WXu9jRXL/p9rwZfcqsU/HO2wc4P+IDmYxILMmtqRBvnujCH4xzZ2axWPHUWqdm+F5Q9DoLkQQ9DgOTnjCHdlq4Muzh3LA3n4JVUp0vm81xdKCJD6/cd+pNecJl0XWJVAaXL8IHF6dp1KoAnvg88SzZ7tNgq4zPUjvX346nzcParSDIcDoMTHnCJFIZalQK1Mq8M+R+BVXoshvwBePs6THT3VJPj70es0615v18EvfbrFPxz1/v4b+/N1Yca5ZTabQ1SpLpTMUB3KQnzNE9zQ/9vWu1sZC+CzDQbaLVqiccS/LWp7oZmwwV18g1KgVXx/zsd1pw+6MoFfK8HMZOy+P//oe8h2adine+cYD3zrvwzMUwGzVo1Hk3w36nmffOTmE2ami16osVtQd7rZy5McuvLk1j1qkeuj1Pk7Xs9lnpv5tFqW8lnkjjC+bXwc+Tb+VxWMs+1rLbx3bGjY2NnXY6nf8e+L/JR7WdHBsbcz3GJf8BeM3pdJ4lX6X1dx7lIgqFnMVYEkEmo72lDqspL7qZzeXQa1XcmVnEYd7802sJie2Eyx9l3L3ADz68W5ae9IWjHXxye45QOIF3fgmVUoFCLtBo0KCUC8hkAplMllBkGc98jLHpBfZ0NTIfXub//dEQrVY9+loVkOXwro0pdy+xvXD5o9yZXeTvP7hTtN1Wq55UOsukJ0xgIc5nj7Th8kaKDoVUOsc/npng6EATwXCcW1NBdrY1YNDBhWEfs3NL1OtUZLOS3T5LnBv2otUoUSnlmI0azt7MF+QojEkKuYDFVMvlEX/xhDifshFjV9vT1+d5lih1bhXst7Si3qQnjL5WyTtvD2JbKW4hltJUqKiazeWY8Ud5oc9GOJ7iP/7wJvFEPjmikMr64u4m5IJAKp15YHQdwO3pBVyBKOeGvNyaWigr/iAhIbE5uPxRzg3n+2SbTcfxvc2cvuHhwoiXLx3vYiYQYcYfY7DXSotFx/c/vEM6ncUXXMI7F8PZWr8h7ZwORBmbWiiOJ2qlHJVCjtmg4e7wYsX77RYdS4nUE3H8l6bvmuo1xcOHmUCM/U4zBr2aidkwBj3sd1o4N+TBvrK3/fpnd274GOcw62isVzPlDTN0d57BXiuXR6vLERTGaqma6tZAoZATWUpiM+mYX4xTp1WTzeUw1WvwBqMoFPJt7Yx7VB7bGed0Oj8CMkA/0A581+l0/nRsbOwPH+V6Y2NjWeB/fdx2yWRQV6sinkjhn18imcqSzuRIJjN452LU16okZ5yExAbi8kf587+9Ro/DWBHeHAwnaG/KF3CorVFxfsgDgKm+hm57PdF4konZOD0OIxqVgq+/1sN/e3e0YoI/uMvKn377yoaUu5fYPhRst7ejoWxBnslkmQ3EsFt0JNMZlhNpxl0htBolZ2542O+00NfRwLhrAVujlrde7eZvfnarwrlw8lgnf/adq/zRv9gvzUvPALemFojFUwTDCWpUCpRygTM3ZtHXKulorqehTs1sIF8gqjRaa2I2zN/4o7z9uvO5H39KN9Klzi2xinqRpRS//mSWr57oKr7W12kqS2k60t9UsWn7+JPZYuREgUQqgwxw+yOkqlQjXq0tdbjfxp/+zX0H4VrFHyQkJJ4+hYiv0j6pVsr54vFO4stpfvrxvYr13ZePd+GZjxFP5Ks4/uKSm9cG7U+1D7v8Uf7q3VHg/oFBoYqkIJcVHYgFJ5JaKWdXRwNLy6nHdiyVFkWIxVOEY8niPZlfXMYzv8S4K0R7Ux3jrlCxGrXZqGHo7jxDd+c42mfdcAfXwZ1W3r/kBihWmC+l9MCkMFZL1VS3BjIZONuM3HYtkExlSaazqBQC/kwMp8OITLbZLdyaPIk01R+MjY19a+Xfk06ncz/wZ0/guo9FJpMFctgatXgCMVKZLHML+XBelVIgHE+iUkkeXAmJjaIQbbK6wp7ZoKHTXsfEbBiVQk40nuSLxzuZCUTR16rK0pAKi7IvvtwpOsFnc/nJ/MNrM7y6v4VWybEh8QQo2K537n76gqm+hiazFplMhi+4hEohx78Q58uvdDE6EWTvDk2F7V4fD4g6FyZnFzm0y8YHl93UaZUc3CkJGm8mO9sMXL+Txu2P4g5EeXF3E00mLbNzMab9EZQKgRqVAncgWnbSn15ZZxSKCjyviG2kP7o6wzvfOFC1ol5p5IPLH+U//vAmg71WlpNpFiIJcrncQ0W55b8vnwZiNmpEC0QUNqMA+lolvuCS6LWf9+ckIfGsIua0T6QyBBcTZLJZ0b/NzkW5cWeu6HRy+SJcHvU9Vaf6uWEvocgyu7saabXqRaO8fvtzOxmfXkCtUuCw6RmamGc2EGN+cfmxInBLI4i1GiVuf7T4t1QmS2dzPjIwEIoXq1FfHfOjUStW7lfs8W/AI1AoODE8GeLCsFf0PQUnnNmoYdwVkqqpbiGi8Xz/W+1XKbwusX6eRJrqt1b9Pwp883Gv+7gsL6fZ3WXi3mxEtGLXF4514vJHsRmeTOlpCQmJcgQhf0SSzeaKJ3xiFfZeHGji7355u6yPDt2d5+uvOxmeCIouyqY8kYoNGoDbF8XaUFsWodIuVfiRWAeldlv4v5jtdtvrmV+IV8wvQ3fmObqniVAk8dDOBX8oTo9ezcRsjClvlvcvuXnn7QOS7W4SfZ0mzt700OLQMR9epqfVwHd+fl8vyOWNVGiTJZJpuuz1eOaiz33KTbWN9LkhH/2dRtGKeqWRD+eGvWSzOe7O5CMQ25vqyjaapYhVUGxq1PLJeGBFnkCJVqMkFE4URd2dDiPzi8s4HUZe3tvMf/rxsOi1n/fnJCHxLFIa8bWayFKSuYW46N+mfVG0GmXRGQdP16leaKdWo6TJrGVqNiw67o25FvAFl2i16picDXNx2Jc/dPBGHjsC90ifjY+uzhTXH4Uqsz2tBn4iEj34xeOdRSdcj92waWNbofJ8eClZtt5XK+UY69Q0N2oZnpinvamOky+1SxkBW4RcDtLpnKhf5fNHO8hJU+kj8SQi455ZGupqOPWJR3TwdPkitDXpJGechMQTxhWI8vF1D7en86l53S119NgN9LbnT/gK4ryJVAZ9bf60T6yP3p5eYG5RfFHmmY9VbNAgv0nzzEVpatThmYvy/hU33vklulrqJI0giTWpZrcOi654Ol0qLJ1MZclUieZJpXNVbVfMuWA2apiYDbOj1cDIRF4MWrLdzWNkYp49O8x0ttQx0G3ixp25BzpW/aE4u7tN+IJxXtlvf24dPGttpMdcIX7vC328f6m8UqpaKS9GPuQroAr0d5kIhOK0OHToNCpUSrlolJtYBcVms5ZLoz5kMtjd3YjbF2VPj5k2q56+diMOi47PDN5/Bqv16QpIqVESEhuPmGZkAZVCwNaoFR0LCk741Twtp3qhnR9dnWEpnsIfEp/T3f4oyXSGj67OlB3SwOM7CwtRZudHfDTU5atULkQSpDPia497M4so5AL6WiVHB5oe6TufBAUZA5ksX/lVEGQc3dNMMLxMIBRHqRT4/NEOoktJyRG3hZDLqbpnc/ujyDev6PeW5rl2xrWYtHiqhOl65mJMzIbR1yilVDYJiSdAteIM18cDvNBnZbDXyodXZjg3lBdDR5Zjh93Ar664Ra835Yuwu8vEXXelQG6rRcf4dKjstcImbWRingO91pVFm4xkOsPPL7gkjSAJUR5kt6/utxdPpwu2azbWYDPV8rOzU6LXnPKG6atiu3aLjpt354r/Vyvl1KgUGPWg0yrxBfMLfpc3ItnuJnHHHcbZZuTDS9Ps67VW3YSVOla77PVMzOY3kEf6n9+Um7U20k6HEZtRwztvH+DcsI8xV6hYQbVgu5PeCB9ema44VT95rLOiKqFaKaetqb5YQbHFrCUQihMIxTk60FRxOn99PECrdaDYzgKF/lvNQSghIbGxVOuTcrmASqAierywvhNLe3yaTvUj/fl2Li1naLXqHpgWn0hlQAY1agXLK9qwj+MsFARZWWGcVCbL5460c/POnOj7/aE4h/ttWBs0RDYpbbBUxkChEPjS8S4gx08/nqgY97/51sCmtFHi0Uinc2v6VdJp6XDrUXiunXHpdJZuu0F08Gyz1TF8L0hH08ZU45GQeJ6ZDkT59s/HMBs0oicmseU0Y1Mh/vgbBzg75OPe7CKDvRZc3ghmgwaXt7KPdjTXIUN8UaavVfHl493cvDfPjD+K2ahBW6NAJoN9PWYCoTiJVKZikSRpBEmU4vJH+dYPrrOvx1Lxt4LdXrrl583jnUUHw0wgwq6OBsanFqrabmdLPQLitlunVXFsbwtDd+cxGzVFnZeTRzuYnYsV3y/Z7uYwMjGPzVTLzTtzfP54F784P/VAbTK1Uo61oZYZf5Q3T3Q/9yf9D3JuFVKUxDagl275MNapi2mlUJAeWOR/e2uAoXtBxlwhdrQaSCTT/PCjO/mUr5XN22CvlStjfg71WkXnmosjPvrbjGWvF6JLqjkIJSQkNpbSPjk6FcRi0NBq0/PjU/cA+M1XupmcXcQfihfnyeBiXHROfZpOdYdZx5snupjyRWhrquPyqL/i+2tUirLXpr0RPjXYyvsXXRjr1PR1NDyUI65UImN1gRxjXQ2pTJYj/U2cuuamx2GsOie9d26SfT1mLoz46Fs1Fm4E51YcpjZTLU5HAz8/P1lRuA3y4/XwvWDFeC3x7CIIMlpt+ip+FX3RhiXWx3PtjAM4tve+pksBtVKOVqMgnVXjDkSBHLsc0mAgIbFeBEHGpDfCLy+7SaWzZIGXBpo5N+QpW3wEQnFkQJtVT6tZh0Ih8Nc/HyOdyZWlrRZQK+UoBBnhpWRR5DtQsiibX4yzlEhjMahJpjLU1aqo16vxBGIIgsC5IY/oIknSCJIoIAgyxt0LdLUYGHctlFXFLNhHwW4Lp9MOi44OpKAwAAAgAElEQVSZ4BLvnZtEIZdXtV2lXMZCNCFqu5F4kgNOCxq1nE9uz2E1ynnjxXZm52KcvekpXkOy3Y3n2t15/vOPhoop9MN35zHo1VWfs9mgYXeXifbmOq6M+vNaPvbn/4DvYZ1bq23VFYgSWEygUsgr+ps/tMzujgb62owoFALf//VdfnnRVfb5QmpwS6OWSU9lZB7kI0oVCoH0qkqrazkIJSQkNh6HRUe7Tc+3fniTm3fnUa9Urk6kMvzwozsc29OCU69mwhOhsUXDkT4rJ/bZN9yp3mM38O7ZSYz6Gr78ShdufxSXN4LdokMmk3FuyFP2frNRQ2Qpyb4eM7NzMZYSaVz+aNV2jk7OM3JvnluTIQKLcV5apaNcqDR7bE8L0XiSyFKq6pxUo1IQWUoRW84XxhEbC58mq2UIkuk0h/ubuO16cGEfiWcfmQyaG2tFbc/WWCtVU31EnntnXJtZx2//Ri/Xxvz4QnEsBg1qlYJfXHSRzea4eivA//zFPmbmo7SYpFNSCYmHYToQZWgiSGw5zQeXKlOOSjUzIL84sTbUlk24Xc31/NP5KdyBaFm5eLNRg9mg4cadOT51sJXvvX8bAGOduhgpNNhrZdITRt/VyP/x1gDpdBZvKM6Zmx6GJ4K8uLuJXI6KRZKkESSRt5NZVCoFPzszuabtitntJ7fn6O9sXNN2C7qFH66kYJfa7okDdsZdC/zWq92cPNIO5FOyzy6lcFj12C06yXY3gRsTQa6O+Yu6ZPudFiZmw7Ra9Vwd85c5Vi1GDQf7bEz7Ity8O1/Ui3uh14K9cXusI9br3FpdgXV1f9vZZsz3gyEvc4vLFVW3CwQW4vyrL/Xzj+emRE/nHTb9mptPqQ9JSDw7ZLM5GutrVgrAeMrm00w2y9EBO19/raes3260U91h0fEHX9nLuWEfkwthAgtxPn2oFX9wiV9enC5rR8EhNjkbJpnO4J1fwuWLcPaGR1RqYmgqxKQnzHvnpjjYa8FqrGVsRZPTZqotRhAnUhmUChmBleIWq+9VU6OWOq2KDy5PA/mDxD3djRvqiIPqMgRvvNTOpKTbueXJ5UClkPNCn5XY8v11r7ZGgUohlwo4PCLPvTMO8qXtd7QaMBtryxwHkD9p/eT2HCf22jexhRISW4ehqRC/vjbDQiSBtaH2gcLmaqUcbY2CgzvvpwJmszluuULF9K8zN2aLVZaG7s5zYKeFHa1GLg55+cKxTu7NLhIIxcuiKQ44zdyaCpLNdgJgM2p483gn/+yVfErBv/ubKxWLJEkjaPvi8kc5dcPDnekFmhu1yOWpNW0XqLBbQZAx7gphrKuparsHd1mZ8EaoqVGWOXAKthsMx5kPJ4D7joFWs46vnshvMCTb3XimA1EWYwlm/DFeGmhmOZnGF1zCbtWVbXoWIgl6HAYMdWpGJ+a5Oh4gkcpgMWrobW/YNo64Uh52I1WtAutyMo2+VklfZwP/7m/ymkjH9rSgUgqizrbetgasBg0v7LJyecRXcTp/aJfUTyQkthKlae+F+dTaUMtrg3ZazTrRMWajHTilhw/f/eA2vzjv4tVBOyePdTAxGy6Lfj835GFfj7l4AAflUhOFVL4pX4S//PEQAzsa+Y2XOvjpx/cw1dcw0N1YjCwrXfP6gkvYLTpc3gjZbK5s7aFWybk65iveF4tRg7N9c1JUxcZ5X3AJfW15JVxpXbP1yOVgwhPm7A1P2bo3kcrw4kCT5Ix7RLaFM67PYUQhFzh9fbxikIB8WkMim+HmZJDd7Q2b0EIJia2BKxDlL75/g0Qqg81Ui9sfFX1fIBSnr9OEtkZBq1VPj72+7EQwHE8xuRJ1UnDaJVL5U8R8GrmSU9dmeOOldrK5HOOuEFqNsjjoq5Vymhp11NYomfJHaC3ZBGezOVrNkkaQxH1cgfKonGQ6g0ohXvYpEIrzmUMO9FpVhd16gkvs6mjg3E1vVdvVaZTs7mykqbGWn348AayOjGuhoU7DP3x8j307zGXXl2x3c7jtXmQmEGPfTnMxWlIQZPzLvX1cGfWXbXouDHsZ6DYz7YvQZtUznljgUJ+NXa2Gzf4ZT53HESGvVoE1sBDnnbcHOXU9vxk/vreZ80MeBnuta+pD9bcZ+eZbA1wc8eHyRnDY9BzaZZX0hyQkthjV0t6fxeJ62WyOI302Uukst90L1KoVouvT1TITAKNTQc6O6Hj/4jQWUy0Oq55XB1vJZLJMzi6SSGXottfz4RV3RWTZkf4mHE06QouJsnExkcoQCieoVStobtQxv/L3jZyTCvPCWuO82xfl+D473vkYgVCcnlYDRweapHXNFkMuzz9LoLjuLSBVU310toUzDkCjlNPWJC46aLfo+C8/GeLk0U6u3pljf3fjJrRQQuLZxeWPcumWj7nF+6LboXCC/i5TVSHPN4600bQqxa/AlVs+2pr0nLnhqUjz62iu492VDbE/GCeTyXJsbwtzi3FUCjkOmx6bqZbLI35abTo+uOzm1f32ikl9PWlUpYsJKWT++UHMbmFt2+1xGHnz5U5ROzh9YxaHVY/ZqKlIEzEbNThsev7p3BR9HQ1kMhleP9yGZy6KLxhnb4+ZnW1GRibn8QXjmA0aQpGEZLubjCDIWIgmcfkjJNKZop0c6W/i+x/erhr5cLjPRr1OyesvOJ57zdnVYuJH+myim6hqNrhWBdbetgaaTbWMTS3y8j47qZVnsLp/OWx6Pn2gvK/0txnpX9GY2+h0LAkJiSfHg+a80tefhbnu3JCX33ipgynPIi8NNBOOJXErolhNtbTZ9Lx7ZhKbqZZYPIVWoyQUTmA2aPi798fZ77Qy5goyOjHPy/vtZHP5KqhqpZzYclo0siyRTCMgY34xXlWLNpXO8sp+O4M7zRsyJ62eF17st1Ud5+0WHbcmg5gNGj57uI3DvZVFsySefWQyqlYVbrXqJM24R2TbOOMO9DUxF17m4nBlWkOzWcfZmx7uuhdx2PRrCm1KSGw3Clo/xjp1WTRRIpWpKiL7qQN2rAZN1UXVxdEAu7tNKOVCWdTJuCuEw6Yvfm7aF6HRoGEhksBi0GBbce69e2aSeCLN5Iqwrd2ir9pn11q0FRYTo1MhWi169LUqIMvhXeKbTYmtQzW7hbVt9+huW1W7HXMtEo2nqVkRml5tu9oaBfFEGv9CHOtKRc725joO99cztxhnyhvhyq1AvlqaNyLZ7jNANpvDalQjl5u4NhYA8nawnEwTCifwzC2JRj70djSQSKa3hSOuNKp0yhvmo6szZfpHD+Osq1aB1VRfw5QvwpHdVk5fv6+TuDoNyxdcor1kbihFcsRJSDwfVBR9WRlbxl2LHNltxRuMc9e9uOahwNPm3LCX/U4LP/34XnE8K6TWdjXXk8nm6O9swGysZTGaZNoXob/bRGdzPRq1gmQ6jUohp8Who0YlZ2RiHrtVRzKdqaqVGYokuO1eQKVUcHnUB5RH3H/9dSeaHQoO9pg3xFFZbV745lsDouO8Qi4jtpzCPR7FM7/Ei33WTXeoSqyfdBq67QbRqsLdLQbS6U1s3BZm2zjjAPZ3N/IvPreT0Ykgbn8Uu0VHs1nHj07dBWB2LkYilcFu1jHpidLeJG1oJLY304Eo76+EzItFExWiF3K5HO5AlN62hgem1GWzOfbuMHFuyCd6wnftVgBrg4ZkOktzo5ZrK7pMaqWcwV4rl0d9vPFSO/5gnHNDHhKpDHdnFvnMoH1dk3uFoPiKc2Sw18qf/+01/vgbg8XIvmfhJFbi4XmQ3ULedr94vBO3L4I/tMzOtrXTQbPZHAd7zZy54a1auGF0MojNVEuzScv7F/P6pIU0k4Lt/uYr3fzwoztks7mnYrvf+sF13nn7IA06lWS3D0mbrQ5kUZobtSspzEJxU1QaoaVSyGlq1NLTauCvfzbKAaeFT+9f37PbalTTACroHz2Msw7up6Kdvull3BXC1lhLjVLO374/jrZGwWCvFV9wqaKvFvrwsT0tz/V9lpCQuE9BP/VPv30FlVLgxIFWfvDh3QeOMxvRrrszYep1qgr9cZcvgt2qY/jePK8daitz1rl8EbRqBZdKdC5dvghDd+f52md6yOVgbCpIi1k86qirpY5bUwsVa4/+LhNmgwa5IOOue5EDG5TZVW1eGJkI8s7bB4r6vIV1/ekb96vUt1rFdQAlnn1kMvj42iwnj3XiDy4RjafQaZRYGmr5+Nosbxxp2+wmbkm2lTMO8oLcgkxGvU7FzbtznL3pQRBkvDTQTI4cbl+UD6/N4LDqmYssM9gjpaxKbE9c/ih/9e5o8f9i0UTZbI7Loz6+9HIXqXSWr32q+6Em2YGuRu7NVorfpzJZvni8E5c3QiAUR5DLGOy1Fp1uiWQaa4MGTyDG8MR8sRKfZz627t9XbTGRI8frR9r40ekJjDo1kaUU0/4IvW3GTTuJlXh4HsZuAZRyAQCrScvvvznwUNE1A12N3J2NVBRuGJkI8tkjbTQaNBV2W3C6FWzX7YtwbE8Lv76Wr7T6JG1XLpfR12ni/cvThJeSuP1RyW4fgkg8TTiWQpDLUCnkxZRjdyBaEaElA773wW3S6ewjPbutxFoaQGOuEIIge6CzroDLH+X8iJcalUBfVwPjUwsY9GqO9DcxMbvIXfdiRV8VBFlx43lhxEs4lpBsWULiOaY0yrbVquNrn3Fyb3YBX3DpocaZp002m2NfTyMXhn2if3f7ory4u4nJ2UXgfkVUoCIFVRDy64Tb0wtM+6Ls6shHz41MBIkn7ocYqZVyDPqaYnrg6nXzoV1Wvver2/zBV/Y+xV9+n7XmhVtTIY7vaWbaF+Fwv433zk1WFG3Q1UoHhVsVQQC7TYtnLkYilWZuIY4ggGcuRmuTDkHY7BZuTbadM25vp4l0Jsd/+clwmTbM5dHy04rr4wFe6LOSBQ5JDjmJbcjwZJBQZJkeh7F4UidWTl2tFPj7X93mtYOOh55crQYNuzoa+GQl6q0gAnp8b3NRQB3KxWvP3JjFH4rTaKglCxzub2IhsoxaKafHbljXxP4goVm3L0qrVV8upOuNbMpJrMT6eBi7tTZoMOhr+KdzUxzf2/LQaW5Wg4bO5jqur9htwXYfZLdAme02NdaiUedTWp+k7U7OhnG2GSW7XQeCIGMxluAnq6IYhu7Oc3SgiVOf5J9fIUKrq0Uovm+9z26rsZbWm3MlPVfMFtVKOfOL8eKGqxA9V4gOXZ3e8kKfleVUFpcvUtZXzQaNZMsSEtsEsSjbSyM+ju9rYXI2JPqZwqHARo7D/R0N3JsNV9HN0pPJZGk0aMoqotpMWm7emSt7r9je8+Kwj9880YXLF2XaGylGln3/wzscHWgSLRrV1qTnUwcqtWefFmvNC30dDdy8N4d3PsbErIqBbnNF9gu53HM9bz7PZLPQ3WLgOz8fq1jvfv2zTrKSYsQjse2ccQCDOxoRvtTP9fEAs3Mxcrmc6IlLbDnNyMQ82ho5fc+5LoyERIH8yaSP0ckgPQ4jHSUndYUoEX2tkuP77Lx/0VVMIV1viXKXN1yWptrcqCWTFe+Ly8k0amU+YqVUt+nEATvWhlqODjSt67vXWkzYLTpu3p3DbNQ8EyexEg/HRtmt3aLjN15qZ2olevNh7DaRypTZ7vXxAMf3tXDq2swTtd3mRi2h8LJkt+tAoRAYnVwQvWeZbI7je1uY9IRpterQ1yr5xcVpYEVfcJ3PbitSTevtyIrmT6ktlkay+UNxvvvBbY702Tg/4gVgOSkuTh5bTtPRUsf18XxfKfRVhVyQbFlCYptQLco2FF6muVEr6vxyOowb7thpNet4eV9LcT4voFbK6XHU4wvG+eDSdJmzQl+rZHd3Y/E3FHRJxX7vbdcCNSoFyXSm7DtO3/DwpeOd+IJxpn0RLEYNx/e1bEoF6dXzgiDIODrQRDyZ4ebdeXocRtqa6nn3zATZbK5M3+6dtw9seHslngyCALdcIVG7vTUV4nOHHZvUsq3NtnTGAezvMpEjHzbs9kdF3xMIxVEIAoIgMDy9QN8GlYmWkNgMBEHGpDdSrkW1EiFy8lgnE7OLBEJx2mx6Du6yMjIRpKlRWyxDv57NkUIhcHt6sXiiYqxTMzsXQ6kQimH9pYN9PpqptqxcfCKVIbyU5HdP9mJvXP/GrNoms06rQqtRVhXS3YyTWInqbKTdAkx5Ilwe9eMLLj2U3Rrr1ITCiQrbXU6k+eNvHKDV/ORs12TQVJy+F5DsVpx0Olvm2CyMR6FwgmlflL09ZpLT+SiENpsFh1X/yLazFSlovZ0b9jHmClX89lJbFIv0+OjqDJ862EqPw8BCJCH6HYFQnCaTljdPdDO/uMyYK8Thfhtnb3pE3y/ZsoTE88VaEd/+UJzd3Y2iBZfWe5j2pOhvM/LO2wc4P+Lj1tT9cXE5mWFsqvJwJ7KUwtZQW/wNxjq16BpTrZSTzUEqnS1mjBTIy8L4GdhhorfdgcOifaS175Ng9bzw4u4mfvDhnTXXYAd3WSsqYktsPdy+vM+kdK2USGWKr0usn23rjAM40GWCHHwy7q84cREEGQd6LfiDS/zdL8fpbKkjk8ky0N6wSa2VkHjyKBQC92bDnBv2cncmjM1UK3riMTG7yLgrhFFfw6cH7bSadfS3Gde9ISrogSxGkzSb8yediVQGfyjO0YEmUpksM/4s/V0malSKouaW3aJDqZDz8fWZsuu5fVEUcnmVb1ub0sXErakQDqsOq0nLlGexqug/bM5JrEQ5giBj0hfh3NDG2C3kbXd4MsjVsQA2Uy0uX+SBdtvUqEUhF6Alnypbdj1flDareHXIB1FhuzY91gYN/3hmkr6OBslu10E2m6OrpR63v1IYu6O5jp+dm2IpnuKFPhv6WhW/94U+bEbNZjd7Q3FYdDgsOtF+U7DFS7f8zC2KR2UuRBMsLaexNGiwmbTF/lHAbtXx8fUZ/uAre3Hsb0EQZJhMOkLhZVxeyZYlJJ531or4Nhs1fHB5uiyTorf9wcXCnjZi46IgyPgf74+Lvv/qWIATg62Eowl8wSUsDZriXF0aVRwIxbFbdLw00FwxVtoaaxmdDOGZW2LaF9lUDc3S3//dD26Ljv2++RguXxiNSslrK2swia1LIpGh1aaj1aovWyvVqBQgy5FIZB58EYkKtrUzDuBAt4kcuYoyvUcHmio0gM7d9PLFl7vY5TBInn2JLc3QVIgLwz70tcqiJo/NVIvLKz6QBkJxPnu4nb52Y9lk+qgVINVKOSePdRRPCY/0N3FhuDyioqC5dXnUh92i43sf3K64ptmo4cxND28e71znHcizejHlCkTxB/Oi7GKi/5t5EiuRt6FTNzyoFMKG2W3he//021cA2LOjkRqVvFi9dC273dlmwOWL8uEVd8U1H7ei2GrbHZoKkcvmJLt9BNqb9GQylWPQ0N35os5Zq1XH9z+8Q3QpvW01y6rZq8Oio92m51//1SXRv7t9UZLpDOduLlZoKaqVcnY6jHxmsLV4Twvfs1aKrISExPNFtf5eo1KwnEgX09d//yt76bbpN7Gl5ZSOi9lsjlarXvQQwdpQy0J4mUZDDdF4CqVCXrYGXh1VLDZW1ijlGHTqYvrqs6KhWS2qccob4eTRTgw6teSIew4QBBl97Sb++mejFbb622/0IgiyTW7h1mTbO+MABrsbkX+xnxv35piYCdNq1QMyUS//XfcC752d4A+/tg+HNLBIbEGGpkL8xfdvANDfZSra+VrRYLs6GvjcodbH+t5SPZBEKkMgtFSsnJrOZKtWNv3NE11M+6KiDoaGuhrGpxceO2Wp8FmHWcer++3YLXruzS5y4oCdaDzFtC/KzjYjR/qtUr/fJEodYhtpt1BuuzUqOZdG/Xzp5S6mVyI7SynY7Ut7mpn0hElnELXdet2TqShW+Hx/m5FvvjXApVEfJw7YCS8lmfFH2dmWjyBotz1aFN7zjiDICIaXq+r+5XI5XloRzlYq5CRSiedas2y1TT6sjT4osqWgF1S4p10t9Rj0ampUCr77y3H+6Ov7Kz73oBRZCQmJ5wex/r7DYeD67QAOqx6HTc+hXdYKR9yzlLIuCDLqtSrROV8hF4qVUF9Y0dx8oc9KMpWtvgZeGSuNejXtzXkNtv1OS9laerPmo8J9f9DYP3IvyPDEPH/4W/uksXuLk05nGZmcF7XVkckgR3fbNqllWxvJGbfCvm4TMgF8wRg1qryelRiBUBytRskvLk3T0VTHjpZ6aXCR2FJcHPEVI4pKNSsSqUzVqJrDux4vEkFMD+Tj6x7ePNFNb6eRDy5WRg5BPqKiVq3gyi1/WYqC3aqjyaTlyqifFouOSW/kifXDYsTRoB3IbzK9oThnbs7yX9+9xc42A0f6bJJzY4MpOMQ20m6h0nZP3/Dwm690EwrHq+qNFiKBWsw6RiaCFbZr0KlZjCafqN1C3iHX32ZEoRBIp7MIgowpX4SzQ17+688k2xUjm82RzcB0Fb0TdyDKyaMdeIMxFqNJ4PnULCtICNyaWmBnm4G+ThMjE/OMTi7kDyIewgm2VmRL6Wtuf5R6napMnLzahnKtFFkJCYnnC7H+vr/LVJzTSlk9Zm1mymaBSW+EcCyZPxCLJXH7o8UqogWpikQqQzKVJZPNcmnUj8NaPcrP7Y/y4kAT0aUk/mCM/U5LheTFRs9HYvf9SH/1sX/aF0GrUT7Xh1jbBUGQ4aqyVnL5IlJk3CMiOeNK2NtpAmQM3ZvHVqVyT+GE162I4vZFmfZFGOy1bko1GwmJ9aJQCMXw+VA4wYFeS5mdnxvycKS/CZksvwh4UpEIYidn2WyOH3x4h298dicdzXVV+9vEbJh6nap4omisU+ObX+LezCLe+SUmvWEuj/qeeKh+YWFTml4LMOUN89HVGU4caCWXyz4TC8DnnVKH2EbaLVTabjab44cf3eHEfjsOm37NeUKlkK9pu5dGnrzdAsVNy+rCFpLtViIIMkangpiNGtFnabfo+OnH9/AF4wz2WjlzY/a50yyrNsYN9lqZ8oZX/u/mm28NrLnWWR3ZYrfoyOUq9RJLKwsXeNCG8nm63xISEmuzur+LOeLExqzNTNlc3SaHVUejobZirANIprPMLeQPFX3BparR/XaLjmQqzYv9TZwdmuUfz0xVvGcj56Nq9/2Pv3GAN090M+YKEQjFyxyQ+3rMDN2dfy4PsbYbgiDDZtKKpmE3mbSSM+4RETa7Ac8aezsbeHlPEw16NWpluTB86QmvxajBF1witpzm/JAX34J45UUJiWeJdDq7koadx7pS3alAvlqTj46mOv7kdw7y1RNdT2xhc6TPVtGnlHKBdpueE/taqvY3gz5frQfyJ4re+aWy1wqvnxv2PZF2rqY0RbH0+wILS3x0dYY//fYVXCsRUtJE9HQoOMQKbKTdQqXtZrM5Tl+f5YVd1jXnCbNRs6btPk27hYez3elAdFvbbaGAQyG6shS1Uk6TSYsvGM9XwE2m0dcqnzvNsmp2spxMF+9JIpXh1LUZpgPlp+Krbcdh0fHVE138ye8c5LVBO5dHfWWbL7FIOZCKMkhISDw8N+7NV7yWSGU4fUO8AvNGsHoc9QXjyGRUjHUA9VoVTY1aoDy6vxS1Us5nDrXy+cPt2IwaBp3i642NnI+qzRVnh3z02OsZd4VIpjMM3Z3nzI1ZlHKhON5LY/zWZ3k5TZtNL2qHbU16lpfTm9SyrY0UGSdCq1lHbhfU69TMBqJMeSNlXn61Uo56ZXAJhOI0GjT86NQEHc117Nlhwlq/vSqtSTz7lJ5GvdCXFyQ31qm5ditQlkJXsPMzNzx8an/LE23Dg/R/vvnWAKeuzeAvacfVMT8Hey2ioe+rFwRP49RNLL22QCAUx1inxh+KM+5eLFak3dfTyO7OBhyWvNNTWnw8OqXPs5ACt9F2C2vb7jtvH+D0DQ/j0wsV84S2RvFA231ap8UPsl1TfQ0dzfX84pIbX3CJfT2N9Hc00GrWiaYEPc8c6bPxZ9+5WmZTFqOGzpZ6ZudixecVWIjzztuDz1U11YcZ47zzSwD4Q3FGpxZos+qL6c/5VKXysbxgz63mfP84P5Kv+tvdUk9DfQ0/PT1R9j1SUQYJCYkHUZRdGPZxZ3qBY3ubSaVzfHx9pjh/jrsfX0P4Udv2/7P35tFt5ded5xc7sREbsZEAuIoUF1ElUftWUm12VbniuMqZcuxUMnE6neR4Ts90Z85JVzLTyckfcfcfOT1z0u4kncnStuMltqtsV6psl6tKKqm0lPaFFBeRIgmCWAmAxEIQ28P8Ab4nPOKBpCiJC3g/5+gcEQTAh9+7+P3u7/7u/d6l8+hyEhpPP1UPiICbI6Hiodxidn86k0NoduHBnFqiUbzRGprLrRXD7ii+8vwO/O7ne/DpgB9T0kSZP0Rz/NZHLpdALhPjYLcV8ws5BBd9JVWNFDKpGHK5BJkMdVR9WCgYVwFWt2B4OoYdjSkMT0QxFYjjUI8NYpEIF+4UT1+sRiUa7bXIMwXc98Vw4Y4PHY16HO6xocmyebr9ENsP1nG5PBiAP5KCzajE/p1WTuj9+nAI84sdqtgSOjad/jMHG5+IM7Oc/k9PowE6lQz941HcvBdCnU6JP/vdQ0jNZ6BUyDjnw6RT4HsflHdWfRKnbqsRJT/cY8fbH49hb4cFOo0cnw4E4AkloFMrEE2kscOhQ1ejsao28E+SUp0zNrjZ02zkHNFLA35EEpl1tVugsu26LBp8+bkdi7qCPgyMR/DZQ404sNMCAJztVirZe1KnxSvZrrpGiiuDQZ7demeSaDBrcHkgAIdVg8M9NnQ69QLvXl24LBr80Vf24pPbPvgjSXQ1G6FRy+CdSXJrPQB0VuH3eCU7GXFHYTOpMJfIoK/TgnFfDP/pHy7DrC9utKaCcUz6Y7hwx4vff7UXg+MzuDMWRWeTHl3NJgzcD2NsOob9nRb0NBtRKABSiRhj03PwhZNod+hxrNe+7culCTzYXQ8AACAASURBVIIQhtUoG5yMwl6nRqNVC71WgRF38QDs1ZNteOvMKBimALtJvSHXWGkevdjvw5eea0d4bkEwgPbmG324PBTE3fEINEoZXtjvQKO1sqbrRmpoCn1G1gdrstfi69++jl2tRhzrrUc0nsbAeARTwTie2eugOb5KyOUYTAVjaG804f70HHQaBQoAWhp0uDcV3laHuI8TCsatQEdDLToaatFo0eCbPxvCtcEgd8KhkEnQXK+DP5zEpwMBZPMMDvfYEYml8U/vDqG5vhZ9Oy2kJ0esK0XHJYChyQgcFg0sRhXCswsAgI+ue/DMXgcn9O6ZSeLW4skcm/2wHidYlZwIp1kDp1mDlw+5wDAFmM1ahEJxnvPhDiYgk4iRZvgnjU/qmpcTJQeAhUwOezssgm3p93Va8YMPR3Gqz4FMjsFnDjXCrJE/kevc6jwQBY7CbFChyV4Lg7YYJLrvjeHpPQ3oaTTAZWmDO5TYELsFKtuuzaDEayda8GsnW2EyaRAKFTU1WNudDMTxF9+8Vlay9ySvuZLtapRyJFKZZe32k1teXLkbwBdOtmKnUw+zuboPl9igqtmsRf+9IP7im1cRn89yv6/mk30hO1EqpGiu1wEoZsh99nAj3js/8cBW/EVbObLLjkKhOA9+/5cjcFq1cFg0SC7k8I0f3uaeP+qZxU9lErz5Rh+e29uAF0oa5BAEQQixVKPMadHiJ2fv89as/rEwjvXa8elAAK0Nug2bU4TmUZlEjHaHDq69DYIBNJdFg75uO8LhBPe71Xav3gjYz8judxcyOYRnF1Cnr0E2x+BSfwBj0zGc3NOA3/1c54ZeK/H4YZgCulwm3J2IILnwoDJlZDKCriYT3es1QsG4VeKsU+PzJ1pwbSiIcW+seDpj08K/qBuXzuZxtLe+bGNzqd+Pf/urPdjTatrgT0BsB/ono7wN0KT/weaazSRyWLTcCZWjTr2hae+VEJrQ2cfWO1W/9O8NTUZh1tdAsZh6bzEoMRtPw6At1wVhNZeAYnlb/1gY5295N1RgeLNSLgocx53RGezrtMIdiHMONzt2LvPGlmssRyXbdW7ANVey3XueKJRyKfTL2C1bWnNvahbvnh/H//VV+bYJJFv1Svzhl/ZsSvt6nLCbQ6E5tdWhw9//dADpbB4KmQRuf1zQVmwmFd45N14W0H3leLPg8z+57cOXn9tBTjtBECtSqlGmkEmwkMkJzitMATjaa0eHU7dhTQJW8k2Xu6atMh+yn3HEM4cfnR7l9r5L14BSf42oHsRiESLxND4dKD/EtdWpqUHHGqFg3EPAZhNFkxncHp1BKJZGYj6LmdnUsovE9eEg1DUydDXqKYWTeGIMToRx7ub0ipvrsek5vLDPwQtubVTa+1pZ72su/XvFEsoAXFYtelqMsJnUeP9Tt+DrWM2lUu0lau9ezrnbvhXtNp3N49LdB2NHdvvwf5O1XXWNDB0uA26Pzgi+ptReQ9EU1EoZPr7uwRdPtKzLNW8GtqJ9rRZ3KIGLnN6bnuuqW/p5v7+40QIAQ60Cs/E0bCYVorE0b3M8FUgIfnenAokyrSRg4zSdCILYWizVKGN9KSHcgTh+47M7caHfj394d4ib19Y7o7ua1w2geE9cFg0XJNWqZMjm84JrQKm/RlQHcrkEkxUO5iZ9ccjlEmrisAYoGLcGDGo5nt5dj6mZBH52MQWbSYVMLl9xkZgKJnDjXgjf+eUwWhp0ONBlwc6G6tfhIdaXMc8sAhFhGyzdXPvCScHnbEXHYSM0M5xmDV4/VXS2Jvxx/OX3bqDdZRBsS8/qyvW0mtA/Vuz+NeyObjuB/JW451mdgPzQZHmzA7Lb1f/NUtvtn4zCF04ua7el/787HoH0mbZtZ7dbzb6EOuOWlviPeGbxo9NjJVmoMZy5Po033+hDk62oVSSVijE2HeNe2+7UI5tnMB1k0NNq4kS5DbUK+GaE1xPfTJL33WXZKE0ngiC2FkWNMgOnURaNpdHTahJcs5rttfirf7nJSQv4w0kMTkShUstRp17/jO6ttm6sxFQowTXsOdBlwX1vDM8fcKFQKGDELey/CflrxNaGYQrLrvl0r9cGBeMeAWedBvu6rOgfCyOZyqLBpRFcJCx6Jc5c8yCdzcPtj+PibR/eeKkTerUMXS7SkyMenqULnDuUwHd+MbxiUAgoboZ+cGYU+3dWX9nVesIwBVwc8CO5kENzvY5rIsBSqitX2kHTYdHgz//pKlobdFVZ+rYcQo7Z4EQYZr0Sbv/ydgsUx24yEIfTvH3G7EnAMAX0j80sa7dseSL7f+c2ttutwAPNxVl0txi5BiLsYzucOhQKBcSSGcFT7Q+ve6BVyTGXyMATjMNh0cJqVEEkgmBJyuEeO26PhtDSphNccxrttbg5EuQ9ppBJNlTTiSCIrcXhbivOXPdw2fGVupPW6ZWIz2chFos4LbNQNIWfnr2P5/octF6tAb6OrxIGbQ1m5lIIROaxe0cd3jlX7IpdKUC6s/HJNKciNg6GKaC5vlY4IN5QS/d7jVAw7hHZ22pCjVSMpvpaxBJpwY2NomQjDhQd35vDQexw6jGXzKLBpKKFglgVpRuu0vKii/1+xOezFR2V5nodrg0FoZBJIJWI8e6FSXxwxUOaDo8AW0JxuMeOd8+PY1+nlXMAHRYNatVyhOdS2Ndp5TpoKmQSFApFMfNRzyzOXPfga1/srfomL5XsFgDOXPNUtNtWhx7XhoLcz4UC8BffvEZ2+4gUs6fEZXbrtGrQYNHgcn8AfTstXAaUQiYBsw3tdqtQrrkYQ2I+wwuiTfpjUMgkeO1UG64Nh8qcZnWNDB9emeLpNmpVMuxqqxMM3hUKBeztsCLPMILf3R1OHUQo8ESe1TVStDt0T3IoCIKoIlwWDb72xV6cvTGNYDSFTDaHV463YMI3h2CkOK8Ya2twbbDoJxzusZdpd1+5GyCf4SER0vFVyCR4/fkdePvMGNpdBu53lQOkNXAHEzTuVQTDFGA1qQTvt82opmDcGqFg3GOga3FDMjw9h197dgdGp2bhnUmiuaEWSrkU718u15MKRlOwGFWYCiQwFYhBLmuAzaBc70snthBCG64Ld3z4068e5HQ1Lvb7eKeC9jo1atVyeIJxHOq2QSIRc4GhdDZP+mWPAMMU0NNigD+SQiqd4xpkGGoVuDM2g0M9NtSqFZhLpOEwa+CwaiCCiBt/oHgPzt6Yhk4lq9psLyG7PXN9Gn/8m31ottdiYDyCqUCcZ7dmgxJmvRLJhQxaG3TQaxVcYKiYkUh2+ygwTAGJVKbMbq8OBiERi7Gnow6+mXlMBYrzhki0/ex2K1Eqcg4UHWO2sVQp6WweI+4oju9uwMc3PLznC2XMqZUyeAIJwb/pCSaQyeUxl8jgleMtGPfOFQ8irBo02Yod6EenZiGTiFGnV0ImET/GT0wQxHahp9EAnUqGK0MhDE5EUCjMQa2UI8ck0T8WhlwmRm9bHXzhZEXtbvIZHo6lawrL6NQc1EoZT5ZJaN/htGrxnfdHIJOIKRBaRYjFIlzuD/AOcc0GJWrkUnza78fLh1wUkFsDFIx7jHQ06KCSS6BVycAUimVAO5zCabpmgxLDk1Ec6a3Hfe8c/ubH/ehsMvAyRgiilNLFsTQV/6/fvlMs3/PHwDAF3uZaBODsjWlYjSoAKEstHnaTpsOjcHRXPf7mx/3cz+lsntNIGp6cRbtLD7VSDn2OQSA8j7HpubL3CEZT6B+PVm1QY6lTJxaLsK/TiveveBCIzMNl1WDSF+PZLauzNxtPQ1UjLcs4Jrt9NMRiEW8uKLXbCX8McpkeCrkUeq0Cgcj2tNutwlKRc2B5ofNgNIUOrYJ3sm01quAJlgfdorE0drebBUtS7HVqqBRS6GsVuHo3AJtJhV1tdfjw6hS8oSSyuTzO3nzwnWYbPygVMvJxCIJ4KBqtWnzz58NIZXJwKLVIpDKQisXoaTXBrFeCKRRgNaoqznvkM6weoTUFKK4rnmCiTLuvdN/x7H4n0pk83jozCoYpIM1QILSakMkksJhUZf56OpvHwW4bZDLJttMVfhzQUeVjxmnWYH+7GS8dbsT+Thvq9EooZBLec1gdnnqzBj/+eBTnb3nhDsTxi0/d+Pq3rsG96BSLxSJBMWZi+7F0cWRT8a8NBbmNcqmdpbN5RGNpSCRipLN5OCwaBCLzZe/b4SJNh0fBZlCizVnejEUhk6Cz2YAbI0F8fMOD4cko7HXCwuVmgxI374Wq8rsu5NSxtnv+thejnlmI8MB2S4NCNXIprEYVRtyzZSe0ZLePBsMU0FmhxNRh0WLcG8Olfh+GJ6PQaxWCz6tmu91KsBm6tsXSEaAYRDNXyLQ3G5S4743h+FP1cFm1eHpPA5rrdYLPT2fzaDCrBX0Yh0WDVDqH985PYCGbw42REN49P46FdA47Gw24MTLDvYc/PM99h9lNMUEQxMNg0ivhDSXx8Q0P+sfCyOTy6B8LIzSbwrmbXjTX69Bg4ftZCpkENpMK3c1G8hlWSbFxRrlfG42l0WBR87T7lpKYz+DDq1O8saY5v3rI5xk02rTcYR67titkEjTatcjnKRC3Figz7gnhMmvgOlnsWueyanF5wI9gSTrn9eEgXj7axHX+YUln8zh/x4dRkwojU3PwzyTR5tTjxG47XJSBsG1hF0dW92dpKj6bJi6ViDDujXF2xuo91Zs1nPYWi0ImweFu63p/lKrjRK8d5295kc7meRmLg+NRNNl16GySQiIG7HUaQZ0FdY0UdTplVTqKpXYLQNB2P7ntw6sn2zDhnROYI5vJbp8Qh7ttOHN9mpdte6zXjjxTQDZX7JqpVEjRYFYLaqEaa2tgM6qq0m63Eu5gAqkMA7lUwut0qq4R1vGpkUtRpxcjmyvgs4dc0GkU+G8/vI39nRbB54eiqQclKbMpdDYacbjbikt3/ZAslp6WdkxVyCQ41GVFoVDAqECXZAqkEwTxsDBMAW0Ntbg1EuKaOfjD85wPBQBymRh1+qKflc0zvNLJVCZP+mUPwVL/gMVprcX1oVBZaarDqkFDnQb/en687L1ozq8eMpk8JBLg8yda4Akm4Akm4LBo4LBoIBYXf088PBSMe8IwTAH7dtRBKhVjzDOLoYkorEYJvvKZDnxweUrwNRKJGD/4cJQnQHr+lhevnWpFu0NPi8k2hV0chUqQ2DTxDpcBv/+FHpy/7UP//Qj2tpuhkEvx47NjONhlQzqTQ2h2ATsbDdQR8THhsmjw5ht9uDgQgEgswumrU7zvrkImwcFuK/7lw3s856XRXgt1jZRr8lCtlDp1lWz3rTOjeOlIE1oadLg+HIJIA+ztsJDdPkFK7XbYHcWRXXb86PRome2Ke2w8fRCLQYmuFiPOXveixaGjDc4GslSPkb1nv/5CO3bU67Cv08oJn5cGuY/trsfZG9P4+IYHCpkEv/urPbg5EsKpPgeSqRwm/Q8OdC7cKeo0KmQS7Go14defbVvcWNnwX/75epltnNjTsGgP5Zs5CqQTBLFW2h16HOy28prCaFVy7Go1wWJU451z97kgnMWoxHvnJ8r2UaRftjpY/+CT2z6MTM0+WA9ue3Gqz4HQbApTgTjq69ScPMF0MAmzXsmTNaA5v7oQi0WYjWdx+moxfmGoVeDaUBDXhoJ4Zp+TSsHXCAXj1omnmo14qtkI/64Ubt4L4ZNbXtjNakwsZoywVBJSLgovz+KdT8bxh1/aQ4vJNoRdHK8MBTEztyCo49Nkr4VNr8RrJ1rwaydbMRmI40J/AA6zBhqlDC/sd6DRqqXJ8jHjsmjgsmjw/dNjgt/d5EIOMomYp7OQzeZxelFP7fZouGqdxNKgz33vHKxGVZntMkwB2SyDzx5z4qWDLrLbdYK1W7FYhO9+eE/YdlNZ9I+FAWCxOUkYBQC+cBIT/hhtcDYQIZFtVqLA9VTxfuhUMvSPR3HzXghalRzP7HPiw5IDg3Q2j0t3fLizmP2oVclwsNuGcze9ZV3gTSUZvC6LBn/0lb24OBBAMDqPg9029DQbOA3BpcHeDhcF0gmCWDsuiwbP7HXgylAQIhS1LjsaDfi7n/TzunteHQxgV6uJGjk8Ii6LBl9+bgdmF3L48LIbI1OzONZbj9BsCv1jYRhqFbixmKkIADsbDTjSY8WFfprzqxWGKSCWTHP3vDQrfi6ZJh99jWyqYFxHR4cOwLcB1AKQA/gPw8PDFzf2qh4vNr0Sn93vwucON+G+L4brQ0HeglFJSBkoCi9r1XKMeOZwZSgAfyQFh1mFg1126sS6TWAXtRHPHG6WLIKshs/JPfXccxmmAKdZg9dPaXinFTRZPhmK+mhRwd+FoikYahWcvoI/PA+5VMJ7rJqdRDbo4w4lMDI1yyuHW2q7ZLcbg5BgM8C3XdbxWmrP1Wy7m5VSPUatSoYmey0mfDHE57O4Ox6B+GQr911ymjXY1WLEuxcncX96Dt3NRl534mDJ/YzPZ5FKl5eaCGU4lAZzhb6fK/2eIAjiYVg6p3z/9GhZd09DrQJBauTwWJBKxdjhNCAWW0AuX8DFfj+O9toAlMsTHO62CvpuRPUglYq5DutL/Q5PMAGpVEwNHNbApgrGAfgPAD4cHh7+fzo6OjoAfBfA3g2+pidCLsfAZS4/ObYYanB3IiqY9WQxKKFRyeEJxrk0bblMjLO3vMjmGRzfZacNUZXDliWxqfiZbA51eiXUSjncgTj++u3+osZgL98WaFF88izVRyvFbFBy2UWVHqt2J3EttlutY7HZINvdejBMAV3NeuzvsmI6FMd0MImeVhMazFosZLK8e1GpnPVwjx3nb3vL7ufFfh9eONgIFAoYmlw5w2Gl+052QRDE44RhCtyBxNLunkt/LoX0y1ZH/2QUnw4EMBWIw2nVosGsxofXppDLMZgKxnGs1w65VILR6TnB9YHGuDphmAKaG7Q40G0r8ztm5ubpvq+RzRaM+68A0ov/lwJY2MBrWReWnvK4gwlM+uOCQsqqGikMtYoyHQSFTIJ9nVZ8/VvX8Ce/tY8mxCqmtCzp/G0vTjxVj2Qqi4+uekgbYxMgJHrLCgyXPqZVyWAzqXkb4O5m47pe63pDtru5IdvdvJQGOkv/3+ow4O9+3L/EHwjh976wi/f6SuWs2XweJp0CNXL+PWaYAgpMAa+faqUgK0EQm5LSQ6QauRRalQxqpQzRWJrr9lmmWdlTzO6lea0y/ZNRfOOHt8v2mb96ohU//OgeGKaAsze9ePlIE/7st/fTOG4jGKaAHU4jvvXeYJnf8cZLnWQLa2TDgnEdHR2/A+DfL3n4t4eHh690dHTYUCxX/T9Weh+DQQWptLy9shBms/ahr3O9MZu1UKrkcNq0GJ2ag28mCYdVA7FIhEl/HOksI+hUL2RyAICfX3YjEJ6H1aRGu1MHmVSEvR02OKyb/7MDW+MePQ4exm5LGXI/KCVTyCTIZBlk88I2cXkoiL5u+yNf60azlWzCbNbiz3/vMD6+7sHAeARNdi3qdErML2Rxcq8DyVQGO5uMiMQWMDQR4TpWSsTFe/an/3gF3c1GPL3Xga5m00Z/HEHIdlfHVrJb4IHtfnDZjWF3FA6zBrVqBer0CnzxVBvujM1gf5cV0Xh6S9ruVvQV7o6H8fF1DwYnojjSa0N4NoXQ7AIcFjW6m824PhwU/P5cHQxgKhjDoZ56dDWbeN+9Uvwz8zjxlAPh2AJvc6qQSfDMfueGj8NG//3Nwlrn3MfFVrkPdJ2bi/Ww22f2u3D2phciEbCrrQ6eQAJPdZixs1EPp1WDcW8MvnAS7U4D6s0qvHthAmqlHDWLa9eJPZtjvdpMNnH5Z0OC64o3lIBWJUN8PgsAGBiP4Pdf270Rl/hEWcluN9O92gjuvjsoaB9374fx+ROtG3RVm4e12MeGBeOGh4f/HsDfL328o6NjF4DvAfg/h4eHP17pfaLR+ZWeAqA4OKFQecryZsSskePZpxrw/F4HfJF5fHLbh4HxCI7ssuP8bZ/ga1gNH08ggV1tdfCHk/joqgeNdi2mAkkkF7LY027GUy0bv+hUYjPdoyc92a7Wbpey06XHpK9YSmaoVSCTYzAzK6yNcXc8gnA4wWVcXhzwY2hyFjsb9TjcbdsSmUebySZWi1kjx8FOC6RiEU5f9yC5kOPKMnc4Dbg7HuE6gdXIpbg2FMT+Tgs+uFLsTjTpi+HDK1Nryg5bDydhPW13wh8nu11HUvMZ5PMMUACuj4TQ12FBaHYe4dkFPLPPgVujM0/EdjeT3a7XvVtpTi4tLT22ux5T/gfyFC6bFu9/OlFRF8kTTCA+n8F75yfx5ht9vO9eKWaDEu9dmAAAfOm5dly44+NKjswa+Yba8Fb5Dm0m230SbKX7QNf5cNfxpFkPuzVr5PiDV3fxMrmcVi2+/fPhonzP7ga0O/UY984hnc3BpFMiPJcCwzBgCsB/+tuLG56Jv942sdzaE0lk4PYLX4snmECTvRZ3FrPiO1yGDbHljdyfbZbv70YhlYor6tp7gglEo8ltrRm3nH0sZ7ebqky1o6OjC8APALw+PDx8a6OvZ6NhmAKsJZ0xGaaAQDQlqIPAar70dVpw9oaHO7koLWP927f78dVXurG/vW69PwrxmOhuMXGlZNFYGk22WpgNymW1MZbqBU36YzhzfXrDHZBq5vJgscFKfD6Lo731uDoYwMFuK350elSwxDy5kOOVVFSbKL47mIBJV8N9xtXY7mQgTna7zlwZCmAumYE7EOfsNp3N48SeBvzzL4a3pe0+CVYzJ7OlpQqZpBg0W5SnUMgk8ATiaHcZIJOJBb8/DosGd8ZmuHtxpEe4BLm0PDU8t0AlRwRBbDkG7od5DaEWMjmks3kc7a3HpX4f97ux6TkoZBLs77Li04EAXjraBADbar1aae05fX0KDRb1susKINzQh6h+cjkGDqtG0D6cVs22DsQ9CuKNvoAlfB1ADYD/t6Oj40xHR8dPNvqCNgusg3yi1w6FjJ8+yzrVQLEbKxuIYyktY71y14+hqWLJilgs4v4Rmx93MIG/fusODnZbcWx3PaxGFexmNdQ1UkGbYBfKSnpBFwcCdO+fAGKxCOksg9l4GlqVDEqFBHKZGAvZfMUS89l4GoZaBe93rCj+Vod1/t7++D5eOtqEA93WVdnuhX6y2/VELBYhPJdGoVDUhcvnGRhqFdCqZCgwhW1pu4+LpWOx3JwMFE+fx6aLmWxWoxLeUJJ7vqFWAatRhRF3FA1mreD3x2HRcH7A0GQUjVYt3nyjD5891AiXVYu+nRbs67TiYv+DTPtht3AnaIIgiM1KaVdpoDg/hqIpXlCulHQ2D6ZQ3E8FIyl0txgxFYxDKt1s2+HHj1gsWnE/cGcsUnFd2eHUw1irxGcONtKh6DZFqZRhh0MvaB9tDj2UStkGXdnWZlNlxg0PD39+o69hs+OyPOjAOuSOwmnRQKOUIT6fwYk9DbgxFBJ8HVvGGoymcG96Ft5wEiNTc/DPJOG0adFar8VTO8yoq62hyPYm5eKAH6l0DiNTs9BrFGh36fHzi5Po22nBy0ebMB1KwjeTRHN9LU7taYDLouFt6pYyOBnBX711B3W6mi1T/rcZKdVaYtP/R6fmsK/LAn94HiPuWRzstmGkgm5TKJpCT6sJ525O8x6vlq5frPNnM6lwbTCIaHwBB7tt+PnFSRzosuDlY82YDiZ4tttSX4tvvz8i+H5kt4+PUtud8Bc3JP7wPF4+2oz73hjkUgl6uk0Ymapsux0uPc7e9PIerxbbfVTY+WBsOoY97XXoaTai0arlbR4VMgkMtQrMJjIQiUX4/pkxDE1E4bRq0FxfiwlvDL6ZJPf8ZCoLpgAEoyncHJ3Br55ohTeUgCeYgMOiQZO9FmdvPJhLnFYNGKbANYv6mUqGn54bL9uQ0T0jCGKrsbQTONtJNZPLI1SpjD+QwGcOuuCPpjAztwCnRYvvfDAKgMGhLhuvqV41wK5DM3ML3Jiw6040lkY6m8d97xykUjEcVi1+fHasbF3Z4dTj0h0fDnRZ8eIB5wZ/ImKjKBQKOHfDi1eOt/Dso96swbkbXnyGbGNNbKpgHLE6WKearU0e9cdx6Y4Pl/p9aHcZMOEX1obpHwujp9WEdIbBe+cflMt5QglIRMC4L45JX7GN9cFuK3qbjVWzGG11Sk//orE0GswapNLF+1coAN5QEigAXc1G7Got6gJ+//QohiZn4bBoYDWqcLHfx7ufZn3RJtLZ/Irlf9XkmDwu3MEErgwVy1FtRiW6mk34Hz/px1wig2O76/FOyYY3EJlHT6tJMLXbYlBCLALUygfCuNVSArDUbtkxWMjksb/TgkQqB08whB1OHRrMKrQ06HFxwI9/fG/osdgtew1ku3ymQgn0j0dwY2QGrQ069LQY8d/fuoNUOodju+vx9pmxctsV0JGxGJRQyAU61lWB7a6G5WzLHUzgv/zzdRzosqHJrsX14RAmAwmc2G1Hm1OHqWAch3vsWMgUdeD2dpgxn8rgk9tFe5/0x6CQSfDS0SZIxCJ4QkX9T7VShuHJKFfi/cOP7kGrki1q+RRLU0OzDzZcGpWcd53dTUb89Nw471q30z0jCKK6KO0Ens7mUSOXIpnKosElXE7XaNPi9PUSOR9/UXZhf7cVZ256USMXIzS7AJtRif07rVvmwE9oPSotS1XIJOhtM8Fp1XLrTk+rCc31OvjDSfzJ//gUjTYNjvTY8NaZUahrpGiy12LYHYHVpMKEP450jsHLh1zkU21TcjkGLrsGvpkkxCIRdjj1SGfy8M0k4aqnMtW1QsG4KqDNpkU6nYNJrwQK4DaqLKVlrBqlHLPxNO/3R3bZ8elAgKcHdHUwgNeeaUMwMo9jvXa4zFtjMapWSk//WGfj+nAQLx9txjvn7vPu5/xClnc/2U3d4R47zt8uZrAs1QsCgIGJaJnTsVUbPzwpWGfHHUzgo8XmDOxJR6WYYQAAIABJREFUY3zej2f3OxGeTSOb55eksvesVFsLKN6Hpnod5uIL6OuwYGA8wgmoV8M4C9ktm95eaqNj03M48VQ93j1/67HYLUC2W0qpk94/GcXHN6a5RgyJVBb//a07ePloM/71/DiYQmHVttvbVodGqwbZXAHD7mhV2e5yLGdbbEnq1eEAXj7ajHHvHDfWMokY3/jRHbzx4k5ks/mydXepvaezebj9cYy4ozjWa8fZm17uMKb0nsTns7gzFoZCJkGjTctrsoFCgbdxKs2u3073jCCI6mTpnKZVyfBvP98DdyAhuB+ymlSI3yqX85FKREABCM0+yCD76LoHz+x1oMmm3bQBqOXWo4GJCPe8dDaPRruOt2dwB+LoHwtjX6cVk/4Y53d9/kQLrg0GIZdJ0N1sQiiaQjqbpwzqbU4ux6C5XofvlGgIA8Xv1Zc/00HBuDVCwbgqobvRgO5GA6RSMbqbDbg0EMDgRAQNZg1q1XKE51LcZFs6kSpkkrLNF1CctD2BBG6MBHHuphe/8WIHWu061JtUNBFvEEd6bBiciCIQmcfFfh+O726AN5QomxCTC8I6GWIRFjUfaiCViHGx3wexWMRlZ3w64EcsmeE2ZtT44QGlzk5PiwFatUJwI/3S0SZ4gnFkBRaki/0+vHDAhWg8Dd9MErY6FWpkErx7fhx/9JW9cFk0XKOWakLIbrO5/KrtVrRotyZdDSTile0WWJ1A/nZgqZPe02LidZ0rbcQw4Z3Di4dcuCYgdcDabiS+AP/MPGx1KqgUMrgsGjjNGrx+qrrKepajkm197Yu98IeTGJ2OwR9O4kCXrWzTw4717dEZyJcEN4EHOnylgc9QNAW1Uga5VIKXjzRxAfu3Px7Dvk4rl+FgMSjR4tDhnXPj0Gnk6F/sePfmG31ln4HNrt8u94zYHnz1P3/00K/5h//4zBO4EmK9EZrTalUyxOcdmJlNIbh4QGHWK3F1MCj4HjUyKU5f85TN2VajGt9+fwStDbWb7lBvufVo4H4EgxMR9LSaUCOXov/+DNyB2IrrTjqbx0w0BbtJDZEIyDNFH4AyqAm5XIJ7U7OCNjQ6NYtn9zYgk8lXeDVRCQrGVRm5HAOXWQPXSQ3E4jYMuWdx1x1FJJZGfZ0UR3vtGJqMcqnbVqMKnoBwm+IJXww7nHpcHw7h1sgMAuF5RBMZNNu16Gkxot6oBsMUyJlfB9hNNUTAvk4rtGo5alUyfDrg5z2PFa8VYtIfx7P7HcjlGPzz+yNgmAKvYyJQdD7OXPfgj3+rj9fNr1RbYjN3nlpuc7nWjedSZ6dQYGCv0wguRt5QEkABDZby8giGKSCWzODlIy7cGYvi5r0QWup1XCCOfU418Tjs1h2Io92pRzZXQC5fDHIe7rEL2u2bb/ShyaYt/k0ANpOKs9vNbLvrYbf+cBKzicyyjRisJiXsdeWd1BimgGQqWzyMyRdg1imxf6eFN5bVZrvsuC8d/0q29emAH7dHZxCfz0Ihkyy76ZGIRZjwCmt5svqu/vA8gAcSE6PTc/i9z3dDVSPF1cEAvvB0C4LRFILReRzstqGn2YBCAZh7KoNhdxQn95pXzHirtntGEMT2pnROc5o1qNknx9nrHgDF/c6hbiui8TQmfPz5VyGTIJYUXh/dgTgy2Rx+8al7TdIYT/LQo5KffvbGNO4sZgWyQcXXn2/HmWsewfdZuu5M+uM42edAgSng/G0fnt/vogxqAmKxiJMsYeUxJnwxxOezmPTHqXHXGqFgXBXDMAW0O3Rod+jwxRMtyOUYuIMJTC1OzMVFpwBbnbCugr1OjZlF7ZlgNAW9VoHrQ0FIxCK4AwlMeGOw1anRUl+LnS49lbI+AcRiESYDcd6mmtW3+OPf7MNcIo3JEi2nUl2upZgNSnznF0VR/GO9xdLkSt2mLvYHMDw5i6O99TxtiRq5FPemZjdFRoVQ4wShNP1HLVcs7z4l4gmql+KbSUImFcNqVAmW9e1sNsBh0sBh0lS97oY/msJffu9GmS7LQ9utXolzN72cw3l8dwMSKWGn+YNrHuTyDPQaBXpaTTy7vdjv47p8buS4b5TdGmoVFe2WbcQwE02j1VGLmyOhMtvd0ajHsS7bho/fk2ZwIoyrd/1IpHKYS2QwFYyjs9GAw902NNm0EInEgrY1FUhwuo+GWgX8M/OC7x+KptDdbECNXFpxnmaz2krLstsadPiLb17lvk+T/jgcFg3+zStdsOqV3OtL9WQJYrOwlqw1gnhUuppNMGv4upmtDeVrnNWogicknJhQXDeLQYblDvWWrtndLSbcHQ9jcKL485EeGxqtj6/cVSwWYcQ9J+inTwcTvOBaOpvHSInW6FJK1x0AsNWp8PaZUWSyDP789w7DrJE/lmsmtjYMU0C9RY0D3TZMh+KYDibR02pCg1mL6VC8qn3DJwkF47YJbB23y6LBM3sdcFi0GJuew8xcCi6rBrdGygMHTqsGN0eKJUtmgxLj3hiO7a7H2RvTvIyUWyMhHOy2ot6sQWejHo0WLcRiEdWOPwKli7rDosG+TitPyD6dzeNCf4AnXMs+rq4R1ncq1dqSSyV49WQrzt/2lZ2oAcC9qVns67LwmhCwp2uvnWp7qAn3cW/ehRyev14Unwf4JYkAHqlcUagbbSAyj75Oi6BD01Rfi0wmj5vDIbxyvAW+mQSmAglOv+m7vxiBq65YTlGtixZ7fwYnomh3GbhgBcMUHtlu09k8tCoZxr1zgnbr9sfR02rCh1emBLW4NErZqse92ux2uYCnxaCErlaBYfcs5HIxfv2FDvTfn0EwkhK03WqF1dMz65X8ciV/nCv9OX1N2LYAcAddK411raYGypq8oL0319fyNN/Y8iCLUYn4fJZXoh2KpvCvFybx/D5HVd8XgiCIR6F0LW936HGw24ocU4Bn0T/TquTIM4xgoyKnVcMrbWU7j5bucSqVi+7rtGIqWDw4+en5CYRmU9zhzmrn7Eq+CMMUcHiXFT86PcZbk7QqGb5wsg1vnxnlPd87k0RHo2FFP0shk8CoreH8t7M3PHjteMuqrpWobhimgJ6WOnzrvUEAxUPe60MhXB8K4Y2XOqt2X/OkoWDcNoTVVnhhnwMAcGN0Bge7rZwYvdmghLpGikBknstGqZFLYdaLMRtfEMxISS7kkC8wuDUaxrsX3fDPJNFk12JfJ3VlfViEFvWlwt4AMOyO4tefbRMU435mrwOX7gZwdzzC29SxjE7P4TdeaIdIJMKwO8o7Ufv0rh97dprhDSUF73UwIpzxIfQ5HreA/nIOT+nYpLN5XBkKIpdnhDP/VihXXBoMLe3qWdTfEwk6NABwabGMbcIfg1Ylw4k9Dnxw2c09d7OWSj4Olt4fIVH6leyWfcxqVHHahqXcm4ri2O56Qbs90GOFNyhst+lMDi/sd6zqMzwOu12aAbcZ7LZSI4aWBh1+eHq02JwkEMflgQAO9diRyfEFsKvddr/xw9sAUOw6vmT8AeDy3UDZ49k8gwaLmss6ZO1RJELFhi0/PXcfJ/c24MSeBkRiC9y621Kvw/BkGJ891Ai3P4Yh92yxPKjHiv/53jAA4RLtq4OBbaeHSBAEsRZcFg2e7XPg9A0vMrk818BAIhH260QiUdHvWzwIAYD/+/+7zPMPyisoHsgSHN/dgEv9vrLDHVZWoxKr8UUCkRT3vqUHNWeuecoOQ80GJT655eVpjXY1G9HVbMTgRAQumxYWvRIKuRTvX3aDYQpQyCQ4tc9Z9RnxxOoZmgzzbIj1eYYnIzixy7bRl7cloWDcNoadWHe3mGDQKHB1uHjyY9AqUKuW4/pQCH07LVznzmf2OXFndEbwvULRVHk2QSCOTwcCeO1UG5KpDE481QCTVkFZcyuw3KJe6iiwXY3Y4OrS0qQmmxbvXprET0uy21i6m42YCMTxo9OjZYGTV59uxaV+vqZXKaPTcysuzI8qoM85Ie5Z7HStzuFZ6kQFIvMIzS4Ivv9y5YqrCYZeGwrif/tiLwbGIxicjMJl1cJiUOLtj8d47xWfz8If5pcGboZSySfFau7PauwWAH5wZhTvXpjkvZdCJsHhXfX47vvDD223odmFFUtEHkfjB3cwgR+evY+B+xGuNGWz2O314SAn7DzkjqLJpoXZoOICcaXXlkhleFmHK/39rc6528XNks2kEtQvNNQqBLMmDvfY8ZOPyxs17O+y4mC3FRCJFiUdig1b3jpTHOu5RAZ3xmaQyTIw1CrQPxZGeG4Bf/47B5DLMTjUaeGNdbtLB+9MorK0QBUHSgniSUFNH7YnjVYtxr0x+MPzUMgkWMjkcGMkhMM9dqQzOQQXm+K4bFp8eHUKNpMK7U49r3EX6x/86VcPYGhyVvDvhKIpGLSKirIa/vA82l16HFiiwboaX0QsFuGe58HfFTqoUcgknCxNjVyKVDqH87e9UMgk+JXjLXjxgBMA0NNogEQsxi9LDo7Z60zOZ6pyzSceHplMAk2NXLDRyak+B2QyCe3v1wAF4wgA5Z2IpmYSEImAm/dmYNAAezss+PDqFHrb6oTL8+y1mJlNCS4406EEbCYVvv/RKPwzSThtWjjMGuxw6tHeUEtf3BLEYtHyi/qiBsRyXY1KT9OO9vJPKcRiEY712pHNM/jZJbfg/fKEEojGF9DuMgjea6tRhR+cGcWBTmvF4Eal4MNqNoxlTohvlQ5PiT4GADSY1TDplJj0lwuls59h/85yQdpK18529Wxt0KGr2Yj++2GMTcdwoNOCnhYj/undYcGxWHpt1doafjW2G42lV2W3bBnnB1c8vBPpfJ7B4ERkTXZrM/HvuVBQ6VHslv0MSx3owYkoKzdTcVyepN0WUECbo2i37NhLJUCdrgYapQyJRQ2y1VxbtdquP5rCvami7VYqMY3G0tjXaeU9zm7ihMZdIhbhmb4GfPsXI8jk8rg1MsN7nifIaszN8+aG0vWwdKwPdxe7EldqdFLNgVKCIIjHCcMUsLNRj0l/jGsgxTAFLlBlqFWgfzyCOr0KvW118IaSyC1mmJeSzuZx/o4PbQ6d4JrdYNFgvEKzHrc/jkwuj/cuTODDK1O8QNtKvog/msLVYT8azBpOj7fSWpRjCnj1ZCt+cJpfttrdZOD+LxaLcHtspuz1QNGvobWFAIB8nkFsXlizOTafQT5P+/m1QME4ggc72TrrNHDWafDK4SZMBuM4d8sHi0GJJrsWtwTEvW0mVcWslHFfDOPeGLeJYaPorxxvwS8/dcNpU2NnoxFmc+V07e1CqYOwFJdNi0BkHrvbKnfJWxoMmArGcazXDrlUgtHpORzZZcePTo/CUKuAXCoRvAbPohB5pZI2mVSM2US2ov7FckGZockHG8ZKi3slJ+T8HV/FsbEYlLgzFoZCJoFJX4OdLgPiqRzkUongZ5BKxHj3wiQ+uOLhOUD+aKoYPBHA7Y/j3/3abiTmM7wxHvXM4qfnJHjtVCvGfXNlr6uvU8M7k+TKWKu1NfxytmuvU6NOV1PWgZNFKIh19qaXy+ISiUU4fXXqkexWKhHjZ5fciM9nIZVKMOaZ45V+LGe3g5MR+KP1sBmUyzqlQrYbiMwXgzgCWVWPy27FYhEGJ4Xt1hNIoE6vxJEeKwoFvhYd+75LS+DZaxt2R7muoUD12u75O16esLXNpIZWJeOaJbDscOp5mQfLdQEe98aQ3l0Pp1WLj65OAQBP59BiVOLO6APB7OUOWIDigdnvfK4T71/xCAabqzVQShAE8SRgtWtLD2BK5+h9nVZOI9RmUsETEG7wcOd+GF1NRsE126SrgVgkwth0uW9Y2jShNNAmlYoxKvB8sVgEkViE73x4DyPuWbS79NCp5dw1V1qLPIEEPIEEXjnWjGuDQU6KqBSGKaCz0SDop3ST1BCxiFgsqvg98CwGbYmHh4JxxLIwTAHOOg2+/OyO4obPPYvffKkTw+4oJrwx2OvUcFg0CETnK3bpcZg1uDYU5D2WzuYRmp2H06Zd1CgK4pPbPpzcXY8mm5bb8G7HBWCpuD1QXNSf63OgybZ8md3SYADDFHD2phcvH2nCn/32fnz3w3tIZ/PLCow7rBpcGwziYtTHEwp3WDSQSkRgCuCnwvvjuHDHhzff2AebQblsUMZiqMGd8Qj674cXM6AMvMCiWCzC2HSMFwBgHaOB8Qj+15d2Co7NiT0NaHcZMDo9B384iblkpig8e3MaB7tsyGRzCCyWUpfq55U6QO5gAn/5vRsVM6vMBiXO3ZrGQiZfQUsvxdvAs1mILPs6rTi6u76qS8kq2e6Lh1zLdlsWCmKl0jkM3I/g9VOt+P6iQPFyduuyaXHlbqCi3X5yu/j40jKTUtutZLdWgxLvX5kq2icbxOux8T6TWCzCzNwC55CXOvXaRYf5SdgtAEwG4jDrlYKONOvw202qilp06SXlskqFFId22aGQSzEViFe17YrFIvTfj8Jp1eDkXgfmF7K4MzqDXW11sBlVuD4cQp2uBgq5FD85N4ZXjjdj3BtDKJpCfZ0aYomo4nxx4bYPTTYNlAop9nZYeBore9stqNMpMTT5QDNxpfF1mjV4fp+DN/8CKwfyCIIgCD4ui4bTrhVLRDjxVD2nnd3TaoLVqER2MdNnWZ/ZrMHHN6Z5OlpmgxLN9bWYDiag0ygE13+NUg5DrQLJVBZalRxSqQjfPz2GockIGswa2IxqXuO247sbcPd+mNPzDkTm0dtmwr5OK/J5BgywbKfUKX8cQIHTgVUqZLw1p5L/9vTelbV2ie1BJpOH06oRtDOnVYNMpjyzklgZCsYRq4ZhCuhw6AAALosa3vA8Mtk87k/HoJRLUVgU+1w6kdeq5YKpz0q5FO+c42vtXLztw6k+B6LxNFqdOmhrpGiy1cJuVG2bwFypg1Aqbr+aDpyVMnsGxiN4/Zk2LntmOTH3Q902XBsM8lL2rUYVZFIJLvX7eOLmNQopnt3nRHg2hb/5cT86m4pZcpUW9Ua7Dv/th7eX6GB48LUv9qKn0YAJfxxWowq5IIOXjtoRiMzDE0igp9WEDpcBLrPw2MhlEvzdT/q5QBibtn+wy4bzt71wWTWo06t4YvQsbHnXxQE/4vPZiuNSI5diOpSsqOc1Oj2HN9/Yh49vejHsjnJZiNtJaL2i7S4TiAMq2+2wOwqpVIyhVdjtgS4rrtwNCNrtxzc8vDIONhNth8OARCrD2W53iwlnb3q5Dqfsezfadby5itVvee1UK9odegDFgGIomkJvmwmNdh3GvXOcU2/UKgTHRSQCfviRl3Ou12K3DFPAhX5/xXFR10g5x72S7YZmF/Arx1twZTCADpcB3S1GfKPke1rNtsswBXQ162E1afDdX5RrEX7uWDOSqQxSaQZziQzkUglG3FGolTLcGAlhX6e14nxxf3oOcokYLx9tLlvr+sfCePM3+/ClZx6uO/Vy6wNBEASxeliJHncoga9/81rZHM1mjS/ne9Sq5TwtNlYDNBRNIZPLIxhN4VivHeksA394Hi6bBlajGuPeOcilEjS31qLZruP5i5OLvsCRXXZcuOPDsV47MrkcZFIxjj9Vj2yugHO3piGXSXF1MAAAOLGnYdlOqcFoCpncgwO5pdIGldaWrmYTT9eX2L7U1MjQ3WLC1cFgmZ11N5tQUyPD/HxmA69wa0LBOGJNNJjUaDCpIRaLcHyXHd7wPAbdEZgNKniCCfhmkmiqr0V9nRpjnvKNtkImQSwpXHcemk2hfyyMmyMhvHS0CdlcAf96cRK7WoxotGph1S9fKlYNLNXwWy2VMntYLSKnRctlz1zs52cQdTYZuU3d0gXZpFPgex/cg8WgRCia4jS8CijgzugMzAYlnFYtfnllCmeuT+NPfmsfnj/ggi+c5E4JNUo5Jnxzgvf87I1piMUi/NW/3EI6m8fR3nq8d36izDFqd+h4YzMZiONCvx+DE9GyzlGlAvmBSAq2Oo1gULjDVdTNYANCS8fFXqdGrVqOD69O4cVDjTDpanhjzDpf3c1G2AxKvH6qFWKxiMtCXPpZq11ofS22u5Ldlv5+6f1ptGnxbJ9jWbsFihmW4dkFHO2t516bSBUz0TyhBNyBYoezf/f6bly47cdUIL6i3Q67Z/HOJ+PY027G2ZvFMk+nVSsceHmjj7MNhinAHUzg/SseAA86cF5c7Li2Wrtly72HJmcxFYzzxsVsUMKsV+L2YtMdq1HFs93SzL2djQa8eMCJlw+5wDAFfL9kU1D6eavVdne4jLhwyyv4mX0zSQQi89BrFXj1ZBvGpqN48XATPMEEPNIEICrgjRd34sZIiBt39l4e3WWHRi3BuFfYfi72B1YMVAux1vWBIAiCKOdi//JNlgBg3DuHU30NiMYz8M0kuXLP8FyK9xpWA9RsUGJgPILDPXYkF3KYjRez61obavG3b/dzfy8QmUc2K5y1LhKJ8LmjTfjl5Sns7bBAr1VgxD0Ls0GJV0+24cdnx/DcPici8QXcm5rFrxxvgT8yj0lfjLcWAQ9kMViEpA1obSGWg2EYjExFy7JAa+RSjExFcfKp+o2+xC0JBeOIR4KdrG0GJWyGBq5eXCwWoX8iCn8kCaWi/DTJaiwG7YQoFQ53++P4wO3Gy0eb8fOLbuzttCAUncekP85pla1UurmVedjPVSkj7XC3FWKxCFrVg3I5NoNIq5LhxSPNeOmAk3dCVrogu4MJyCRiLlXfadUKdm1iTxHfvTiJGrkU6hopfHkGd8cjeGafE+Pech0MAAhGUxha1GpbToi2NBgw4Y9z+lcKmQSZXB7JVJanf1VqS20NOkG9w8PdVl5p7VIRXxGAszemIZOIsX+nBQBw5vo0snmGF/xIZfJwBxPc9S2X7bUdHJ2H+XzL2S0AHO558PtSuz2xx4GRxa6gpR1al9ptmimWuL5yvB7vlHQXXmq3xcCwF0qFFB2NBly448PJvY6KdhuKpqBWypBceOCwr2S77HV9/VvXAIA7RS9+zuJ1rNZu2XFmbXfpyXxPqwnhxdJZ1nbP3vSWlUx2txi591pOO69abXfcM4dgJb2dYAKZXB5j03PoHwvj80+34l8+GIFWJcPeDgsCkXkMFqJcthybxaiQSXCox1bsVD7YL/jejzqe1XYfCIIg1puVmk89d8AF/+LB8szcAlobdJgKxrm5/mhvfcWMtL4OC5e5ZqhV4OwNDwJhA++5hlpFxfVn0h+DVmXC3sX3WXrId6THhtBsChO+Obz5xn78zY/70bB4wFOaUV/0C2p4Py8nbUBrC1GJ+54YT1+RtTOXlXTf1woF44jHCjuBM0wBOx06qBUSKGRS2OrUmPTFuYw5q1GJ+9OxZfUNgAeb3Ul/HI32Wrz7SclG2l/MZDnV50ShwPCaCGxXVi5xZQRPNGKJtODiK5S+XqMQYzqYXPYU0TeTRCaX50RwmwGcveFBZ5Ox4j0fnIjAUKsAgFV1DLw44Ec2z/AynRpcGliMSigVxRburC0pZBK0O3TLlnctDQixGmVPtdfg5F4H77lvvtGHEc9cWRnq+VterpRvuWwvcnT4rFR65zJr8NqpVgy7Z3l2+7OLE3h+v6tsPIXsdioYRzAi3PF5oUQzrdR2Xznegl9cmlhWR7B/LAy5VPJQtnvprp/3PWQz4zLZ4nU8jN0CfNtlT+aL76PCyb1K3vP/4NVdZSWobOYeO09sJ9uVSsW4OxGpqHlqq1Ph1kgxuzCdzWPCF4NCJkF8Povrw0Hs7bDg3C0vF5iXS4v3b4dTj05nsYS5zamnpgsEQRCbkOXWvDanDmdveB5IoATiuDMaxsFuK7yhJIBitn5po7Q2hw5atRw/vziJnhYjf63vNmHEzQ/8LadHZzepcX96DmqlTFjvNcugp8WIV440waiRo7WhFr+8MoXDPXaYFytZ2PUoMZ9Bk72WpA2IR8JWp4Y7EOdlgQLFRm3E2qBgHPFEcZo1cJqLmSq+6DzujkcglYox5pmDuqayNhf72IPNbgLtLn2FstZ59I+Fceb6dFVqGj0sy6WZH+qyCWbkvPlG36rfVy6X4I//9pLgc9iMHva+pbN5iEUAU8CiHptwl8gauRT2Oimu3C2eIFZyTJaW5h3usQueFp7Y04CzN6YFgxGVxqZSQEgo89Jl0azYen6lbC+Cz0rlEe0OPd75ZLws+2il8XwYu/WH53m2651JIJNlltURTGfzvAOE1dguIBbMLD3V54DVqHoou2V/t1rbHbhfrj+3NOt0O9luLsegwaxGnoHwPV7ymH8miV2tJph0ShzZZcWwexYyiZiXlTiyeA9YTvTacX5JGWy1jiexcXz1P3/00K/5h//4zBO4EoLYWlRa82xGVVlX7XQ2D7lMgpePNGFgPMILbrFrdP9kFGa9EiadEqeveXglqUt9hOX06BQyMRwWTVkAj8UXTuJrX+hBLsfwPsfS9eiVI01wWTT44tOtdABErBmGKcBh0eDWSLmtOlaha04IQ8E4Yl1gmAKsOiWsTxVLWU21NZgKJfC5Y81FjblwEha9EooSfYPSza6tToVxb/mpFcDfSFerptFaWM2m/eRe80OfkBW76WgrZgqNuKO8gOpUMAGTrgYA8MltH1492YYJb7EsjM1wuj4cxB+8ugtX7gaWdUxKS/N6WgzwV8p0Sufwx7/Zh0arcAlzpQVDKCAk9NzVlPIJBUie2e+EWSMXfB1RZLl784df2rNm4fqV7JbNRCu1XU8gAUOtgtOpK6AATyDB02IpbZIAYFW2m0gJ62XG5jP4N690wmV5OLtlx2cl211tCep2s91DPTb81Q9u8zIYLAYlmup1eOvMKO+5jTYtfuflTi6w+k/vDgtmG1/q9+OFfY6K40mZCQRBLAcFV9cPwTm6x4r/+d6w4PNHPXP4s9/ej187yQ9usf/vaTRA/0onfn55irfWV/Jvrw8H8fkTLRibLjZ+stWpYNTW4P3Lbhzf3VAxc9tl1XKBuIqfo2StoWAJ8ahIxCIc7LZynYf/KCwSAAAgAElEQVRZ7UTJokwV8fBQMI5YdximgC6XAV0uA6RSMbc4BONp/OzCBBxmTdlmt0YmgV6rEHy/0qyUatU0epw8DoHWg91WXmYPUAw4uGxanmAsUMwIkhbltMAwBbx1ZhTHdzegXavAuC+GtgYl/ugre3lOxL2pWbx2qg2h2RTuTc0Kbl6P7qrH3/xYWItpKpioGIhbDSu9brWlfEvH2mzWUleqR+BRbbeS3Zr1Sl4TBe7v2bS8Dq1s9+BkKosJXwzP73dxQTalQoZhdxRalQz/+5f24NZISNAZFotFgk41AEwHkxUDcatludc+TAnqdrLdLpcBT+9pwMxsCrPxNNpdejTaavGd94d5Y6KQSbC/y8oLdra7dPjFp+4y/ZTPHGxcdjwJgiCIzYPQHN3u0mHcV64ZuxqJAZdFK6iNfbHfhxcONAIoYHAiCpdVA51GjgIAmUSMOr0ScokEsfkMGKbYNfXVk21lXdXZLvKr+RwE8TjI5RgUCkWbYm1VJhEDAJhCgRcYJlYPBeOIDaX0i9vZZEKdWg5/NIUL/T7cGYvg+O56FAoFfHK7mJmyUlkrafCsnkcZp55GA772xV5cvhuA2x9Ho02Lvk4L/vFf72Iu8aCtdWlG0AdXPJwA/8c3PNCqZHjzjX2wGZTc84UCAOFwQvBabQblhmoxPUwpH9nk42Wt47nUbl02LQ52WWGqrcHXv3WVV47COrps6TQALKRz+OCyu5h1+dmOsmBLqd3ubKgVdIYZpoDORgPX1biUnY2by26B7WG7DFNAJsfgzlgYzx1w4ewNDz665sGxXjsWsnn4Z+bRXF+Lvp0W9DQaeK8tHU9WP2W7jydBEMRWpXSOfhTJhkprPcMUUCgUuO7qJpMG4XACE/44fn5xAmqljNNbZvc8b50ZxbFeO9JZBr5wEi6rFge6rGXrUaXPQRCPA4YpQLoYfFuKrCS5hng4KBhHbDpsBiVePd7CaRu4QwnIZRKMeubwuWPNmJlNYcIXg1mgrJU0eNaPnkYDehqL2Y1sUPXf/y9PVUyPF0qdLw3ElSKU9i/ERmoxUenZ1kTIbgFULIEVusdOs7A2RqVGEkvZSE02slth2LnkZxcnuGYME744upoM+NXjLbDphecqGk+CIFZiLSWnxMbzqPP7Smt9aZb1UikOrUqGr32xFwP3Ixh2R6FUyPBsnxXN9lrKQCI2jJ1OPbyh8ozPDod+A66mOqBgHLFp4Ur9zBp8+dkdi8Ln4LR6JgNxXOgPwGXV0gZoA1mqV7Fcg4THnTq/0RthKgfYuix1ZivdS7Lb7QF7Ty4PBXF3PILuZiNee7q14oHB0tfSeBJbEQoSEcTyPMr8/rBrvdDf6mk08H6mQByxkbgsGjyz14ErQ0EEIvMw6Wqwf6eF9t+PAAXjiC3D0mwpp1mD10/RBmgzspJu1eNkM2yEyf6qh0r3kuy2+nFZNOjrtlcsjV8JGk+CIIjqZK3z+1rW+tVm2RPERsDadDVrCa8nwoW/BLGFoEWKAMgOiK0J2e3mg+4JQRAE8TihdYUgCCEoM44gCIIgCIIgCGIFqLSXIAiCeFxQZhxBEARBEARBEARBEARBrBMUjCMIgiAIgiAIgiAIgiCIdYKCcQRBEARBEARBEARBEASxTlAwjiAIgiAIgiAIgiAIgiDWCVGhQN1dCIIgCIIgCIIgCIIgCGI9oMw4giAIgiAIgiAIgiAIglgnKBhHEARBEARBEARBEARBEOsEBeMIgiAIgiAIgiAIgiAIYp2gYBxBEARBEARBEARBEARBrBMUjCMIgiAIgiAIgiAIgiCIdYKCcQRBEARBEARBEARBEASxTlAwjiAIgiAIgiAIgiAIgiDWCQrGEQRBEARBEARBEARBEMQ6QcE4giAIgiAIgiAIgiAIglgnKBhHEARBEARBEARBEARBEOsEBeMIgiAIgiAIgiAIgiAIYp34/9l70+hGzvPO94/CRoAACZDERhLg1k02m2y2uslWi+pFalm2I8myPbYS23GcZLaT5DqZ+ZB7T65zxzdzPHPsTz73TDIez5IoudbMtR3LimVZXmRLavXG3hc2uDY3gCBWYiNAgtjvB7CqUUCBW3eTIPj8vkhNAIVC1f996n2f91nIGUcQBEEQBEEQBEEQBEEQOwQ54wiCIAiCIAiCIAiCIAhihyBnHEEQBEEQBEEQBEEQBEHsEOSMIwiCIAiCIAiCIAiCIIgdgpxxBEEQBEEQBEEQBEEQBLFDkDOOIAiCIAiCIAiCIAiCIHYIcsYRBEEQBEEQBEEQBEEQxA5BzjiCIAiCIAiCIAiCIAiC2CEku30Cj4rPF8lu5n1arRLB4MqTPp0dpdJ+Uzn9Hp1OLXqSx9+sbrdCOV2/x0Wl/aYn/XuetG6Bx6/dSrvHAP2mrVJOuq2Ee0e/YecoJ+0+CfbKfaDz3BqVrluWcrne61Hu51hu57eb67Nyuxa7DV0PPutdj/V0u28i4yQS8W6fwmOn0n5Tpf2enaYSr1+l/aZK+z2Pg0q8JvSb9i6V8DvpNxCPi71yH+g8CSH2wvUu93Ms9/PbSeha8KHrwWe712PfOOMIgiAIgiAIgiAIgiAIYrchZxxBEARBEARBEARBEARB7BDkjCMIgiAIgiAIgiAIgiCIHYKccQRBEARBEARBEARBEASxQ+xrZxzDPPFmQgRB7BHIHhB7EdItQTx+aFztD+g+EwRBELuJZLdPYDewe6MYGnFj3BbCoRYNBnuMsOhVu31aBEHsAmQPiL0I6ZYgHj80rvYHdJ8JgiC2B2c/7SEcspD9fFT2nTPO7o3iW2/cQjyZBgDY3Es4f3sBX/tKPwmJIPYZZA+IvQjpliAePzSu9gd0nwmCILZHkf10kf18VPZdmurQiBsAYKxXQi4VAwDiyTSGRjy7eVoEQewwDCPCjXEP90BhIXtAlDOkW4LYHhulJA6NuGlc7QNujHugrZFzawCA7jNBEMRmYJ+TcqmY86WQ/Xw09lVkHMOIIBIx6O2ohy8YQ29HPapkEgxZXZiwB8EwImQy2d0+TYLYt2x2DD7KWM1PTzHUK3GqrxFDVhfveGQPiK1AuiWI8oIdBwwjgs0TwRXr+imJDCPCuC0keCwaV+WL0H1Z717ZfVH4wnHIJGLeGiCTydJ9JgiCWAeGEWHSHsapvkak0xkkUhm0GmsgFjN4MB8i+7lNKt4ZZ7UFcW3Eg3lPBK0mNQDgzqQPmUwWdk8EcqkYg70mqBRSEhBB7BKbrd/yqHVehNJTWBtwedjJva/LoiV7QGwI6ZYgygu7N4qro24ADCIrCcx7I9BpFKiSSTDvjZRMScxksjjUooHNvVR0TBpX5UehTX3hhAWxlcS6drbQjuavAS4PO+k+EwRBrEMmk8WzfQbMe6JYTWSwGIpBp1VAJmUweMRI9nObVLQzzmoL4jtvDnMPXk9gBYY6Jc4cbcJHdxwAcqHp8UQKnzjRvJunShAVx3o7JPmvzfuieP3dMXgCK4gn07zFkk6n5j7zOOq8lEpDWk2kuFBruVSMwR7Ddn4yUQFstLPHvk66JYjdJz/11OaJ4Ftv3MJAtwE3xx6mctvdfKcLm1JTOP4Ge4w4f3uBN9ZoXO0+hTbZ7ovi2z+4g2qFFMGlOGzuJcTiKVwb8axrZ9ezo2qllO4zQRDEBqTTwLW1lFRtjRzWaT8AoFFH9eK2S0U7466P5h7MDCPCYK8Jq4kUfMEYEqkUzj7ViEvDudB0X2gVLYbc4om8ugTxaKwXBZT/WnerBj1t9bi6ZtTzU0bYxVJ/j4k77nr1fDbj1FgvDckXiuFIRz3qaxUY7DHAoldRuPU+Y6PoNfb1SXsYp44aMeuMACg/3bKfIe0SlQirbbs3iklHCDZPFPPuCIwN1bAY1Bg8YkJkJbGh81ooJdGiV+FrX+nH0IgHE/Yguixa3rgidpZCm9zTXo8H8wHIpFJ0WrRcuRmVQoZoTPies3Z2Izv6ta8MoLFeSXaTIAiiBAwjwpx7CQPdBs6nws6B51xLNPfcJhXrjJNIGNjducXSYK+J2yWVS8VIpNJYjiW5XdKDzbX40fkpWGeC1OKcIB6B9aKAAPBeazXV4EcfTHGRRYUpIxP2IHfcR6nnk/9ab7tWMA2pu6UOX/rYAW6R98MPp7adUkjsPTaKXst//VRfI96+MMNFZZSLbtnf8SjpsARRjkgkDFyBZdx9sIgbYz5YjGo01Fbh7QszvJTDe5M+nOtvxsxCTPA4vmAM2ho53P6VkimJFr2KNmPKgFI2+XPnOvCzS7M8+2sxqEseJ9/OHmrRwu1fhrZGjuBSnDt2p1mDy/edtAYgCIJYB4YRQaOS48NbuezC/Mi4c/3N9NzcJhXrjEulMmg2qOAJrGA1kUIyncGpvkbOk9tkUcHUoIS2Ro5alRzvXbchspKkFucEsQ75hrbQ6M77ovjNLUfJ3WmJGFyk6uk+ExKpFIDiyCI2eqHLouWOsZ16PkK1gw40a3hRsQA/DWne9+gphUT58Si6tehVXHSbQi6Bvk7Bi8pgtbtbus0vUk/aJSoBNvV01B7CkNWNeU8EzQYVWo01MDYokMlkMetaEhyzi6EYWkxq2D2RouPqtApYp/2bSj2lBcXOkt9wI5PJ4uKwS/D+LniX0dNWD+fiMmd/b014cayzQfCed1m0sHkiGBpxo75WUdTA7faEF6l0FtYZH5fySnaTIAiimFQqg0gsIRgZF40lkEpldvsU9yQV64xjGBFajTVweKLwBWO86Dggt4tqnfbjD1/pxt2pRXzymRaIRCL800fTW0ohIoj9QH6K3uARA9yBGKYdYRxq0XKLmtffHSv5+Ql7EPW1VQBykar5tV0KI4t8wRgMdcqixdJW6vmwu+qlagd98cVOXLnvQpdFi572OlwddePvfz6OZr0KA90GXpdKsgd7l9K61WCw1whkN9atRMJw0W2njzbi55fnBLU774nsqG7Zz7NRnKRdYq9j90bxYCGEWCIDlUKKH/56kjfWbo158eqZdlwfcZc8hjcYwzO9Ri4dlUUuFUOnVeL54wpKPS0jhDYffutkCx7MC0cUz7mWkEil4favcPZ3oNsAtVIqeM972uvwze/lbOqHt6aKbPcfvNyNO5Peou6qZDcJgiD4yGRiqBUyfJi3gc3a0nP9zZDJxEgk0hschSikYp1xmUwW894I2hprkclmsLKaEtxluz/tx+iMH3cnfDjZY8Dnnz+Aj+44MOMMC0ZTUAgmUUlsRs+FKXo//nCaF31z5b4TJ7oN8ARW0NtRX3J3WiLOTY5XE8JjkY0sam2swYv9TWhu4E+Et1LP5+KwCwBKfpc/vIp//89PwOaJ4JvfK92lUi4VQ1sjL7IH27mOxOPj8ejWheNd+g11m0plcKhFA7d/GcGl1ZLaPWDW4PmnTDuiWzadulSH1ZtjHi4Va710WNItsZtIJAz33+mFED64nUt9GZn1o8tSJzgGnL4ollcT6LRoS0a/+UIxvPi0GeFoAvOeKLdp1GpUk953kaJGDAKbD3KpGMNTi9BpFYL3V69V4P5aWhTw0P7WqqQ8O3uoRYtnDhvWHH2lbertCS/uT/u5UhlqpRQvDbZissBukq0kCGK/k0plsFSiJuvSCkXGbZeKdcYxjAg2dwR2dwRfeekQPrq9IPg+hzeKVlMNRmYDqNco4PBGIJOIodcqMbdWc65w1667pW5TO6v08CbKlc3WlspP4SvlSKtWSGFzR6CtkUOlkJXcna5RSHF/OgBfsHQ9H0OdEkq5FJfvuzHYY+R1pWSRiIH62ipIxMK/jWFEeDAfgrZGXvK72LpeV6zCxfUTyVyTl+XVXBg2aw8KrxHV6NpZ+Ne7tFNrs7qddebSR4311VArpYisJLnXWd0Cuei2sbkgvOtot6NJs2O6BYQbQyTTGejr+KlYQumwm72OBPG4YRgRJp1LuGp1odVYg3F7EA5PFM0GFbosWlinF9HYoILDGxX8vMMbRWODCrXVcsFnTXWVBM8dbeQcb/nzMJqP7Q6lnpNCmw/aGjl8oRgOtdYJ2mRtTVWR3fMFY3jlVBssumqIREBNtRR3JhehVkoxNhdc16Z61+oIetcyaFYTKdyfWoTZoObWABvZSprrEwSxH5DJxHB4Sj+bZTIxVldTO3xWe5+KdcZlMll0NNXC7o7ggxt2tDdrBHfZWkw1GJ7yYbDXVJR+dHPMg3P9zVhZ5bdMt7sjOH/bga++1ofeFm3RMTezQKeHN/EoPIp+hCJqrtx34WtfGYBRq+C9Lz+FT2hCyzAidJo1SKazWPBGEY0l8OqZdthcYXgCMTTrVZCIRfjuW/fxF18+jn/5qW68d8MhOBab9SpIJWK8d92GTCaL87cX8I0/GoROJROsiQUAv7nhEKztYmyoxr1J37oRTwBKFtevr1UUhWHfHPPwvmujov+F13xoxI1xewiHLPvXaff4devEn/3OUzhgVPPet5FuASAcTeClZ1thcy3h/tQijhxogKFOiTvjPjTqqnm6tehV62vXoMJPL81gNZ564rplHQxC2hV6jlmn/ehsrt1At5t4nu1z7RLbh2FEWFyKY3jaB5s7ilnnEtoaazDlCOGq1Z2L9FxLQz3X34zLw86SY6BZr8L96UUo5GJ85aVDmLAFYXNHYGqoRkdTLad1csA9ebYaoZxznqZw5b4Lf/Y7TxVtPjycT2SKbHK9pgptjTV49/Jc0Xc0G1T47lv38K8/cwR/8493OQfevCeCo526dW0qW0dQqJTNzTEPTvYYcOGuE0CxraTNOIIg9hvNBpWgLTWT7ds2FeuMAwCdRsFFt5j1asFdVBGyOHqgAct5aaxsalpwKY5QJA5ZweeAXPTMhTsLqFVKYdY9FGCpBfpf/n4/Wgxq2DwRXLHSw5vYHo9j8pdfGJlhRNxu8H/9iRXdrVrumCNzAQQjq1w6UHApXjShFar/Zp324+RaPSupRIyP7uRSj4ZGPPjCuQ58fKCZN+kFcmNOIhZx7wVyUT7DUz4sBmNbqomVyWRxoKkG9yZ9qJJJBMc9W/heqLi+XCouGYad/12lCkxfGnbhd188yP2t0Ca4F5cxNhfEv/xUN892VDKPQ7f5kWD5uv2fvxjHQbMGZ/pMm9YtABzv0uPdS7OCdS9i8TRPtxa9CmadqqR2RRBhNZ7bDXzSumXfW6jd9VLA879LKKJuM88zuVSMeCK3kP7zLx6j5xaxLjKZGLOuMGZdUYzbg6hRCteZYUsCAA9TXRLJDJp0asilvqIx0KhT4da4F6ePNqG3RYvTvUbudXK87QxbsecXh11FDdRa22rgDaygSVeN2xMPHWWl6smePdaEq1ZXruxMwT1WyCVobFAhnkjjf/5iHJ0WLa8hVJU0lwpdyqZWyXLLoFK2c3k1xfscaysZRoS/+cd7G25qEgRBVAqJRBqH2+pwa8xbZEu72+qoXtw2qVhnnETCYGk5yT3Yx2xBvHqmDbPOJfiCMei0ClTJJLg07MJAtx6hSJy3wGNTfDRqOUKROIz1Sl4rdCAX3m6dDfIWL0NrhYXZ9yfTGQx0G/DeDQcc3ggaNLnvnfdGqGsTsSW2EokFCO9as6lwLIW7wQ5fFLF4ChKJGFPzIXRatGhrrMXobACxeIo3oV1v8Z9KZ9HWWIuL9x6mh7O1qwpraB1q0QIQ4b3rNt5xBntNePP9Kd7vLVy85R+X/a12bxQiEXCyx4BYPIVz/c1YWk7A4Y2i06zB6TWnDSBcXN9QpxQMw5ZLxfCHY1ynv1IFpicdId75sM6PQvvy3g0HPj7QXPFj/3HpNj8STEi3yVR6U7oFwDmWStW9uD3h4/6Wr69C7RrqlJCIGQxZXbxz245uAcBUX70p3QLF2l0vFWvGGYZEwiCTyZaMBi31PBPqRD7pCFe8bomtI5EwuD21iOujHjg8UbQ11iCbzeL2hA89bcI14NhaodxY9kZhqFPiJxem8dmzHXD6onB4ozAbVGgx1mAxvMKzHeSA21k2sueFddYezIc4e51MZ7hn4HvX7Gg1qXGyx4BMFlArpaUdYrEkjncZ8JML0/j06TYs+JbhWlyGTqtAW2Mt3rk4U9LJe2nYhS99ohOTtiDPpurrFHim14S/++nIurYzFImj06LBpD3EfYc3GMP4XHBTm5oEQRCVglIpxci0HwPdBqTTGSRSGcgkDMRiBiPTfnzihBnRaGK3T3PPUbHOuFyRwYfOsxqlFNdHPPAEVqCtkcO6VrAVANyLKzh6sAHG+uqiMHW5VIxXz7Tx2qizEQ46rQJ3H/jwyjMWALkHskjEcPV6jh5sQKupBu9cmkVsLWrC5uZPFKjbHbFZSkW0FOont2vtwbgtyO1a5xeuNjZUc9ounPyWinR79Uw7Zp1hLHij+Mxz7VjwRhGLp0tOYB3eKBKpNG+hlF+7yqJX8SbuP/xwivfezTR6YF/LPy67UGAn/WKGgTcYQ2O9Ap96trdoxzrfuTJmC0CnUUClkCEaS3CRVPkTbW8whu+//wCDvUaYdNWCodqNDdXc/+c7kUqlwVS6M35ruuVHW7C6zUWCaTnH1nZ0++kz7fAvxTA1H+YWV0I4PFFoVDK412x2Yc21fO3+6PwU3r3y0Im8Xd2yv/+/vHUfx7v0nG6Vcgl+76VDvDTc/PP42lf68ZtbDtjdETQ2VIMRi3iaZLULAF//2+s41KLBqT4T5r2RIieGsUGJkVk/XnnGwkuFLdWJvNNcC8s+iewk1mfUHsKQ1Y15T4Tb6HT4otxz5sWnLbg/tSj4Wd9azS63fwUAYDaoYNapMetawvURN7rbtPhXn+mBZc2ukvNtdylVq3LKGc6bdzxsmNFsUHM28VRfo+Ac+5VTrXhpsBVXrcJdctn5RCqVQTyRRkOtHDb3EibXamhuaG+zgFopQyqdQWBpFZ0WDTKZLBrUcvzFl4/j/F0nVuIpQduZyWaw4OXP/00N1fAFY9zxhWwkbbQTBFFppFIZuPwraNKpkExnsBjKBTeJxQxc/hVq4LBNKtYZxzAiXgHg/FQldtLH0tZUg1Q6XTJSYta5BE9ghbfjdnPMA4Vcgi6LFm+8N4kH8yGcOGzAh7fmeQ/kew8WMdBt4EVEFE4U1ut2RxBAcWRQPqx+AMBqC+I7bw4X7Vqf6zcjm83g2V4jlwpXuBu8niNh1hnGpD0IrboKPS1a9LRoMWYLQSphNtXxLD/FLh9W81uJ8slfvBUeN3+hkN8N1VSvLJk6wjpX3MFGfOuNm4isJHGqr3HDifaXP9mFuxPFaVTNejXX7IFNJ3T7lzeVQlhpbFa3paItXhgwI5PJYLDHiMEeA87fdmxbt71tWph1ZriDMVwbdXNO6ULYGkLssYV0C+S0e+KQAb+54Xhk3QI57cbiKZ5ug0txVCukgs44IKfdjw804+9+NoY7kz4MdBt4Dr9C7bLOzNN9Jq4OEvs769RVkIrFPO32tmvhDsSEdWv1wHKuMnVLbAzDiGC1BRGKJvDGz8dKRibFk2n41ybsmxlvPa31GJ5aRJdFg8+ebYOhNme3aX60+wjZc4YR4XPPH8CPCqKBz9924E9f60Nvmxa/vGpf107b3RGEluMwG9TrakQuFePEIT2AXN3Nzdjb5VgSbv8KPrjl4OzqrHMJ8WQaUokYXzjXgXPHGjE04lnXdrK6Pt1nQr1GgVtjXvR21HObd/vt2U4QxP4jk8lioFuPdy4Wl3h59UwbPae3ScU64zKZLLpbtLCvdUOKJ9Mla0Yc79Rh1rVUslNeYZh6Flk802sCkMGPP5ziUvbmXEsld+jUSimqFVIu1TV/YVYYIUGOOaKQUvXNgIcRNmNzfly8uyCoQV9oBdZpP87fXsCfvtaHkz0GJJIZZABu8rvRxPa3nmlFT6uWS2Mz61RwLC7j7mSxQ+rssSbU1yowYQ+iy7Jxt8bC9L+etjrEEmnBibnFqIYnsIKjB3S84wotFOLJNNz+FYzMBvDbz3esO66MWgX+/IvHMDTiwYP5ED5/7gAC4RgisRTnGMmvG2N3R3Cqz4TVZBoOT5SLCHnr/BTeETPcrjjbiXO9DpmVOuY3o1ugdP298HIct8a8XJTBV1/rw5Vh1yPp1qhV4J+dacecJ4J7AtrtsmjhD6/umG6BYu2yugU21odZp8K/eKWbp1tvYAU2TwRSCSOoXYmEwTM9RjgXl6HXKiCXSfDedTsymSwvWvPUkUb8159YBb+3knVLFMMwIkgkDKYXwrhidWPMFsTgESPm3dENI5Oci8voatEKzr/aGmvgC8bQbFDhqYM6DBxswLM9BtTXq+DzFY8jYvcQsufnjjdj3hMR1MBHdxbwsQEzzAYVEqnSkfTeYAwfO2FGnVouWJNTp1Xi+eMKnt382lf6cWPcC194VdDemhqq0VBbhVNHTPhvb49w55S/Gc/aMLNOhexhoK6mCtMLYSyGYxCJwM3t821oOpPFL4ZsWF2LpLMYhDdK2ONLJAxFixAEUTG4/SuC9t5TEOhEbJ6KdcYBxdE2Q1YXTveZkMnmOqI2G1RobFDhJx/N4nCbBgfNmk2FqS/4ohjsNcIbfBgxsNGC8GSPEZP2EHeMRDKF4ancTt+zvQau6x41dyBKIVTfTK2U4rmnGgEA044QPIHSGjTUKWH3RDAyG8ALx5txY9wLuUyMe2sLpFKF7gHgcFsdXnrazP2bTSmctIfx+XMd8AZimFoI8xwYvS3aLS3WC1NX7d4oLt9zFk3MX+xv5qXdsmzW8bOVcxh3hHD+jhMyibgoTX1qIYw/+kwPfnV9HolUmpf6Hs883BXfqBOnoU6JH52fwolD6zt+9ipCus23ewDwwFE6ZbSnvR4jM36uAUitUopZd5RzpG1Ht+O2ELpbNfjqa30YmQkUOY0/MdC8Y7oFHl27hecAAJMLS/jgtkNQuzMLS/jjz/bg0rAbv75u551rfkSHUavAAbNwJ/JK1y2RmwPNeSL46K4T044wjA3VaNJVY271e8sAACAASURBVHk1Vz8wlcrwMhDyyd9w1GkVuHTPiYFuA+KJFLyhGBobVDjcqkVzvQqfO9uO1dUU91ly8JYvz/aubS6FYjjRrYdMxsA1vyz4Xm8whlnXEk72GDE8tYgmi3AXPotRjYt3nTjQXCNok4XsJmvz7L6o4KbKS89YuDT6zdhW9nifGGgGw4jwV393nVcrk5v/e/llDDyBFfR360t2/v3GP9xER1MNzecJgtjzZDJZLsipEJu7uPwJsTkq2hmXH7Uwbg9CV1uFdAa4NeHFxwbMuHDHgSvDucLbs64wzj7VuKkw9U+faccnT5jxV6/f4L4rFE3geJeuZMrexbu5xRl7jM+/cAD1tQocbqvDFasbf/fuGHTU3IFYh3w9P5gP4ZleI9yBFfy3t0dwqs+Edy7NcB0kCzE1VEMEwGxQY9IewhdfOMAt3vva67nIni6LludUAnIT22cOP0ypK0wpnHWFoVZKBbuIbccw50+Ov/FHg/jgxnyRs6TUcUs5fkqlGq53DnZvFP/ph/eKxj+bftVl0cJUp8Ssc6ko9R0Axm0PI4fW68QpETN494oNv7nhqMjxLtSwg7V7r787jueON0KnUQg+4Jv1KngCK+jtqIeIEXFRDGadCq1GFYas29etzb2ED2/lOl1/6WMHeJraad0Cj0e7+bUT/58f3FlXu0atEvcLrhlLftTb2T6ToHOx0nW7n3EHYxi3BwARgx/+erJIRyd7DDh9tBEjMwE06ddP986PfhOJgOf7m7mNGjZiKN8RR5Qv7GYGRMArp9rwzsUZACi5GWJsqMadSR9ePmnBn3/xGCYdYUE7nc0CU44QphwhQZu8nt206HLPl+vjXozOBh7aW13pZjfs95YqnZHJZNHfbRBsDPHyqVb8/PIc9/54Mo0apUww6jP/d7HzeZ2udCQdQRBEOcMwIrQ11Qja+/amWm6DndgaFe2MAx7udul0atwedeGK1QOzXoVwNI7ISpL33kvDLnzxxU74w6uYcYaRRVYwFNPtXwbDiHi7bf1deogZCD6Q5TJJUeSBN7CCM30mfPN7DxeHdoHmDjfGvSWjKYj9R/5u8LfWtCOXijFhDyKykiyZii2VMLh0L1eL6vPn+JNc9phsOkVncy3POVeYUidUwDmyksRHd534wrmOx/p7D7fVQ6eSbTrCrtDxs5lUw1IMjXgExz+bdj7Ya1g3okmnqYLNE+HSI/OdNGO2ABrrq1GvUeD9m/PcsSu1xkx+5NacO8I5xeRSMUZmAiV1y6bFsf9+plvPXR+LTgXLuUfTbTyZzj0THnMjgq3qFtgd7XY01wpq90BTLc+5yC52rTP+faXb/YY7GMPFewsYmQ2irbEGqYzwHGh5NYVEMgONSo4mnRpyaXFkkk6jQH+3Hse79Bg42IBPP9vKOd9Yhwexd8jfzKiSS+BcfJieXMp+t5pq0GJQ8+YZneZabhOlWa9CNgteN+rt2GSLXoX+HhP8/qigrrZqWxlGBLd/WTgVK1C88eYPx3Cyx4CV1RR8oVWYDfzfxaa63hj3or/HtOnfRRAEUU6kUhnoNApBe9+gqaKU/G1S8c64fMw6Fb6wtnj7+t9eL3o9k8niyn0X/v0/PwGGEeHf/Y9rgsexuSP4zj9Z0dFUA7lUDABYTaRwZ9LHdV30BWMwNihRp67Ce9ftRceYtIfQ3lhTcsGkkEtwvEsPX3gVf/X6jZJpq1SzZ38yZH3oWMhPkR6yungaNDVUQ6uWIxrLOZ5ZR3A+Ql0sv3CuQ1BbmynI/yT0uJVjCqXsbZXc7wwKvuYLxvClj3dxO++ldt3lMgmuWD34wjnVw2tsD+HZXgOOH9Jj3h3B/alF9LTVcSmElV6HK5PJ8pxirHYdvihPtzqtAjqNAhIJw3220OlTaboFdl67xjrhSZW+Tsn9m73OS8sJHO/SY96z/3Rb6dh9UZy/68SMIwydVgGzQY0HjhAkDCP4fl8whgaNAqaGavxiaA6vnmmH0xeFwxtFs16FgW49nj6kRyKR0xU53/Y++Xb7YwNmXnfcwnmHsUEJqViMBW8E7sAKlpbj3Pw1fxPlG/9wE1MCJQq2a0/WjaDbom0tlYrl8ER53X/lUjFkUgku3M1tdn75t7rw0Z0FTDvCYBgRL9XVF17F6Kwfhho5jQeCIPYcMpkYN0e9GOg28ObrVTIJbo56i0pOEJtjXznjWFKpzIY1JDKZbMlaOc0GFW6NeXFjzLPWWakKt8Z8yGSyvE54Y7MBHG6rF3zo6rQKjMwGOWdefoFYXzCG00cbceHOwwV+Ydqq3RvFmxdmMDIT2HZ9OVo87U0KHQv5NbMKNSgC8OEtB3o76rlF99RCmFffSqiLZam0s8dRl22neJRzWe93GuoUaGp46KxoNapxrt8MX2iF92AasrpgMagxvxjF6++OwRPIFT1tMahwbaQ4/X2w1wSRCLxoOpZKGavraTdft9ZpP3o76iEVMzxnEbtIy4+uAypLt8DOaJdhRBi67xGcVF21uvGJgWY4/Sv49g/uILKSxNmnGvGLK3OCuk2lM4L14ypFt5UG24xh1hXGmC2EH384XXRfn+k1IRpLlExBlYoZvH9zHk936+HxLyOwtIrn+5twoLEGzQ0qzhFH7H3y7bZcKi7qjps/7zj7VCOujrgRWUnCYlAjkUrjV9fsRfY5lcqgo6lG0Bn3JG3yZo673vz/gLkWSrkEw1N+3rMeWNvsDMagUcm5Rlb583j7WtMgtrt9/rydbCVBEOVOJpOF2ajCxbv8+Xo8mcbZY01kw7bJvnTGAZurIVGqVg4jEnF/u3DXic+caUN3ax334M7v2NTeVCPYbZItBHv2WBMCS6u8ArGZTAbBpdWSrdJFIuDbP7jDdWfdan05oYgSSjHaOxQutoU6BbOF7TuamHW795ZK3Vsv7exx1WUrd0r9zjNPNfGcZZlMFtlsBtZpP+/BxDAinD5qwnvXHQBydXVUChmisYTgNY8nUqhWyPDN793iOd0raawKabeuporTLms7WRs574nwohBY7ZJu12cz2s1ksui01OJX1+y8SVUyncEXX+zE999/gLG5IDot2k3pNr9+HICK0m0lwDAi2L0ROBZXYJ3xw+GJorWxhusamU88mUY0lkB1lXD6YXWVBMoqKZ57qgmDPQa0N9ZQ9FsFk2+3tTVyOBeXYTaoi7QBABCJuBIwbN1AQNg+l7NNLjX/P9vXCIteBYVcgp9enC16PRyNo62xFlIxg6VlYZvJdre/cNeJP/ncEYzM+MlWEgRR9qRSGRjrqjnbnx8hbNAqKU11m+xbZ9xmakgUvsdYr4SYYXDlvot3rHtTfvzhy4dw/raj6MEsAvDyqVbY3ZGiqJnXzh3A2xeKC8T+wcvd+OVVm+B5T9iDaDGq0GnR8hx4Q1bXpur2bDUSiig/7N4o6mureBPhIasLZ59qQiqdgd0dKdqxzS+m3dNeB2D7qXuPs7ZVOSPUeOCZw8K/k11U5DdyON1nwo/en+KNb4uhdPFmbzCG1FqdmqERDwBU3FgV0u6le86SNvJYp45bzLHaJd1uzGa1m78YZrV79qlG/PjDresWyC00Jx1h3ucrQbd7Gbs3iqujbgAiqJRSvJPnQEik0pBJxIKf8wVjcKUzeOVUKzyBFcx7ojA1VKPFpIapToljBxq4cUYT8Mojv7TCIYsGPe31OH97gYtmLkxN1WkVsBjV+OVQbu7Kbqjkz4kL7XM52+SNzq2ntQ4/vTjL+4yhTonqKineuTgDbY183bGlrZGjo0mD77w5TLaSIIg9gUTC4MaYcEbFjTEPPnO6laLit8G+dcYBm6shkf+eH52fwrtXip1kXRYt19Hp0rALk44QTPXVOGiuhdu/glg8jUl7ENUKKRc1o1ZK4fBFBXfNJudDMNQphUPkm2vx/V9PcjuP+alCm6mzsZ2IEqJ8YJ2pyXSGNxHuNGvw8WdasBpL4O9+NsbrWMYW0+7tqEd1lSTXnbJF+0ipe4+jttVeYCu/8/PnOjC9sASXfxmHW7RIpouLn3sCKzh+SLjrcn4UwYwz17SgksZqKe12tWjRZqrBb67beTZSLhXDYlTDF4xBr1WgtbEWo7MB9LZoSbebYLPPt6++1ofrox7Y3ZFcNyyBSKnN6lYuFWN6IVxRut2r5KdzD3QbMDzlQ6dFy7s3+Wnihei0CkzagxCJRHAHVvBMjwH9h/TQ1VQBeLRUaqK8Kdq0dS3hwl0nvvpaH0ZmAhCJRJCKGV5pgUl7rumHTquAxaAuaswACNvncrbJ651bobPuQFMtmvXVmJwPc5kJpcaWXqvAhD2I1USKbCVBEHuGVCqDJl11UVmZeDKNU0dNtDG3TcrKGdfV1SUF8DqAVgByAP9xYmLip0/6ezdbQ+LEIQN+c6M4+o0NqbfoVfjdFw/yWvv+1es3MO+N4HSfCal0Fg5JFMYGJYxaJe4+WCz6HgCYWQijq0VboluJoqgLLNv0oaetruRvYc9pN4qYE4+PfGdqvjGUy8Q43FYPny+Cf/FKN66OejA6G4BOq0B1lQTDU4vwh1cBAMoqKXevHzVNZL/oZb3fmb9wYe/HA0cYyXTxQymeTKO2Wi44tvOjCJ46qMP1UY/g9+3VsVpKuwq5GL0tWvz5F49haMSDMVsAOk1up+2XQzbUqmSYsAehUefSoxhGRLrdAhtp9ztvDgPI1S2dWetcW8hmdautkcO1uCx4jL2q272GOxjDTy7PYnQ2CEN9rj7gaiKFaoWUa/TDIlTiAMjd1xajGqf6TDh+oAGvDrbQfdsnMIxIcNM2Fk9hZCaAL5zrwC9vzHPdQ71rmyXytdIrjQ3V+PiJZnzz/73F08xG9rmc9bXRZr07GMO33rgJ66yUi4Zbb2zV1VYJjkcWspUEQZQjMpkYaqVMME1VrZBBJhNTA4dtUFbOOAC/B8A/MTHxla6urnoAdwA8cWfcZtlsSH3+A5SN4JhyhHG8SwdllQSzziUwEKHZoCq5I33pnhOvnmnHnDMM71oYaF1NFa7edwN42Cp9OZZEtUKKUCSOzz/XUXSs/JpTve1adDTXFkWUyKVinOg20IO/zGEYEcYKuiSyxnByPsS9x6JXodWoxl//+D6vfhkbjTQ6G8D335/itFuuaSJ7hfyFS37Ns4Fug2BHNn84ht/9ZBeGpxbhC8Vg0CqgkEsw5QhzDV1627RYWo7vmYYDG+EOxjA2J6zdsbkgXnuuA61GNVqNavzNW3zddjRpsJpIYdIeQotJjTl3hHT7mMjXLqvbUtEc/nAMX/pEJybnQ3B4o+g0a5BIpnFjzAtjvRLBpTiWY0kcPiz8+b2o271EYDmB92/aMTIThE6rQFtjDR7YQ1zH4lKROkNWFz73fAd8wRhmnUtobKjGAbMGxnolDps1dM/2CexccTGcq2Esl4phqFMAEHHNhybswVya0qgXjbpqSMQMGjQKSMS5rruuxRWcOGyAuWF/2eeP7i4gspJEIpnhjbHCVF69VgFllQTxRKpoPLJz+uBSnGwlQRBlSSqVQTAax0C3ASIAcpkY8UQaWQChaJwi47ZJuTnjfgTgzbx/l517dash9WwEx4HmWvz6+jy38JleCOPsU40liyNnMlnMOsO8ovAA0HegHk16Ffdwb+uoQW21HNFYEom847DFmt/41QSSqTQ8gRhs7iW80N8Mi0ENT2CFly52bdTNaz+/FWgH78mRf21tngh0GgXPwcMwIjx7xARjfTX+w+vX4F5cxgGzBmf7TNDWyDltDfaacHOM38Hz/G0HV5ukXNNEyp1S9cviyTQ0apng+JZJJRiZ9WMxuIx/89vH4A3FcHnYBYmYwUC3ASd7DDDrVGVd3Hoz5Hfs/fYP7qDTouU5Aljtmuqr8Z//ycppt8uiwZ1JHwBh3V4f8ZBuHwNC2o0n0yWL9sukEozNBWF3h/FvfvspmOqUsNqCSGeAeU+E026NQipY+Hyv6HYvwTAi3J3248aYB/OeKJr01Xi6x4ifXJiGWCTCy6da8fPLc9yiXyhSRypmUFMtQ2w1hf/tc71orK+mCXUFI2Qv2ehuALAYVDjRk9ucXfAtw724jP5uPRiRCCqFFKlUBoNHDLwOvEBujL9yqhW9bdrccfaJfc63o4XRcGyXWbVSirPHmvGb63bEk2mc7DHixRNmHGrRYnQ2gKcPGyGViDDrXEKTTsXV9SUIgignMpksWk1qZDPAvDeCB/MRNOmrYdarwYjLO8K5nCkrZ9zExEQUALq6utTIOeX+3e6eUWk2KziLXoW//P1+/OrGfFHY/6VhFz57th1LywlMOcLc7iEAGOqqcW0taiG/KHyLqRbvXCxu+jDQbcC33ri1VtPDjzFbEGa9CgfNmpwX+7ABYhGTq0UlAga6DWgxqfHu5Vko5BIEl+KwuyMbFo/Nn1hVWqfHckLo2t6c8PA6TwI5ZwUjQpEmLt/L1Xe5dNcJAJuqTUJGdOusV3evukqKc/1m+EIrvCKn10bd+MTTFlTJJPjrN+9xKZkOXxR2TwQ3xx46m/ZidEGhdnVaBdRKWZGTh9XuTwXs2ek+E66NeEi3T5BS2p1yhHGuvxm+UKyooYZFr8Ynn2nF+7cceDAfQkMJ7e5F3e4lHIvLsM4FUSUT44e/niwYPz589mwH3vzgATyBFcikDOcgKIzUaW2sQd+BBgwcpGYMlU7RnKLXCMtaZ+Wro26cOGyATquASCSCL7CCayOeIrv81df6AACeQEzQLoeicV6ncaDy7XOhHWXHWDKdgXtxmbOfvxia466FJ7CCz5xuw8XhBXzp4524N7UIXzAGY70SVTIxvvvWffzFl4+TzSQIouyoUcrxvZ+P8Z4Pt6U+/P7L3bt8ZnuXsnLGAUBXV5cZwD8B+C8TExP/30bv12qVkJToWFSITle6I9yTRKdT4/V3x4r+nslkcWvch//8f5wreq2/x4Tl1SQvkkQuFWPWKVwcezWRCyK8cGcB99dSvOzuh466xWCMP7lyR3BzTIyXT7Xi1piX15X1+rgX/T0m3neMzvrx0W0HRmYD6GmrQ29HA/7TD+4UdYH6xh8N4nBb/SNdq/3AerodnfULdtF85XQbrNNevHyqFf7wKha8UYgZEZZXk4KaGLcF8R/+eBC3x724MuwS+ipM2INlf83L/fxeOGERjGAbOGzA+VsOXnRrMp3B554/wHeeuh82Ybk8nIsoYsegTqcuGou7zVa1K5eKca6/eS3NsQvW6UUEI/F1tSuXSfDaCwdwcc2ZXAjp9vEgpN3ISgKpdIanWzZl+OzxRnz/vcm8+yus3T/5/NE9pdtCyvXeXby7gNmFMDyBZYzM+tFlqRMcP05fNNckyhPF2WPNCEVWca6/GUvLCcx7IujtqMOXf+sQDpq1u/RLNke53oedZivaFaLUnOK1jx1A3wEdRAwDRgT85rodPW31SKYzJecU5wYsmCpRW3JmYWlX79lufXe+HWWj4epr5Xj+eDN+dmmu6FoeNGvwrTdu4linDv/rVxNFTs9Xz7TjxkTxPHyv8ai6fVzsBTtS7udY7uf3ONlIt/vpWggxOjsq+HwYnfXj02eLy2XtN7ajj7JyxnV1dRkAvAfgTycmJt7fzGeCwZWN34TcxfH5iuvY7BSHWrSwCdSPOtSiLXleTx/S4/28iDq29osQbKt079p/86Pp1EoJ/OFVwcFjd0fgCazwurKOzgbg90d5EXD5Ezn34jK8azVECo/3wY156FSyTV4VPrt9j/J50sZ2Pd1+cMMueG1trlynTtflZZzoNuCpzgbMOiNYDAlrYnQ2gN95vgOf6G/ORT6WqONULtdciHLSRCl0KplgJFBDtQwnu/WwTvu5mjvPHWvG3DoOdTZyrHAMbvpcdmCSsB3t+kIxTNqDyGZzjrRPnLSsq90H8yF8+cWDWAytkm6fIKW0CwDXRty89z5/rAmjM4Enot3d1m0+5XjvJBIG96b9+O9vWzlnSWODCg5vVPD9Dm8UraYayKRiXLjjwGfPdmBsLoAmXTU+9WwrjFoFAJTd78ynHO+DEOWk3VKUssvjc0H8cmgOTx3UY3k11+QjkcqsO6fw+6M4ZNHA5hKuZ7pb92w39bKeHf3ZpTnee3Pd7auQSGYQTwo7PeecYRgbqrc1B9j0Oe8B3T4O9oIdKfdzLLfz2831Wbldi51GJhNj3iM875j3RBEOryCRSAu+vh9YTx/r6basnHEA/hKAFsDXu7q6vr72t5cmJiaEZwZ7iO3UfypMU+tpq0MskS7Z9ME67UdvRz2s035ewX5vcLXk5MpX4LxTyMU4eqCeNwEo7KzFOv2EoC5Qj0apGmTAw3sFACvxFO5OLkKnUUCnVWxYMH2wx4Dzt0t3AiYeDaH6OFZbENfWOqIOdOuhVcuRyQKzTuGogvyxuBcLOG+k3VZTDbzBGKoV0k1rl3T75Cml3WOdOsy5IjjaqYPFqMLKagpTjsrUbrky5Y7g8j0XHN4IDPVKnrMkGFkt2WyjWa/ChD2A544147ljTeht0eJjx5vovuxD1rPLoUgcve0NiK4kuSYfrcaaTdjlvV3P9ElQqkZeoZPuhRNm/Pe3rHjxaQvuTy0KHssbjMFYX03jlSCIskIsZtCkF24+2axXQSxmAOxfZ9x2KStn3MTExL8F8G93+zyeBNut/1T4gLd7o4LFsatkuVtZJZMgnkzjVF8jV/h8vQ55Oq0Co7MBnOpr5DoWdlo0sHuj3PcWTuRKdWUDqGPeo7JeDTLW4QoArcYaaNRySCQMZFJGsOB6/sR4r9Yf22vkOzO+8+YwL/3EYlBDKmFKLnSMDUrcm1zcs4uajbQ7aQ+i06KFddoPs16FZoMa3sDyutol3e4c62nXvVjZ2i037N4oPrrnxLQjDJ1WgfamWjywh4qcJU06NeRSX9H46bRo0WnRos2o4mp40XN5fyJkl9nN2kw2g1nnEpoNKvR36/H2hRmIxRvPKcgul6ZwnBXO4XU6NU706PHu5Vl0t9aVnJeP24JgnmuncUsQRNmQTKbRZdHg9rhXYN6hQTJJjrjtUFbOuErnUbpLse/PnwSN23NNGlRKGZDN4quv9eG7b92HXCrmFT4v7PDEwjrxjnfpcXMsF8GjrZHj4l0nLt51ckXkCydy6x2PFmKPTqldZ9bRCoCbMItEuddfPtUKp28ZrsVlmA0qnBRoprFfupuVA9dHH9ZnlEvF0NbIuUgWRiS80NFpFHj+ePOeXtSsp93ISpLbNGgx1eLdy7PoP6TnabejuRbPHW3k/X7S7c7CapfT7VIcnsAKjh/SVbR2ywV3MIZv/+AOIitJAA/rSL18qhVz55d4zpKfXJjGZ892wOmLwuGNwmxUob9Lj4+fbN3XqTQEn0K7LNSlmm2cc2nYhWePmB7aZf8yOps1ON1nIrv8CORfI9fi8trzUMyzp3KpGIY6JVQKGRpqFXRdCYIoK1KpDGQSBp852w6HNzfvaNar0KxXQSYRUwOobULOuF3gUR+w7CSIzU3Onwz9xe8dx9URD0ZnA7zPsB2eUukMPIEVHGiqRSKVxvUxL46012Gg28B1WGObOVwdzXUsFFpg357wrnVuDdDO6GOmcNeZvVeX8pow3J7w4k9f68P1UQ8+urOwNolTABDh5pgXKoUMvS3CxblpgvdkkUgY2N0RXqq4LxhDk0WFNlMt3r44wxtveq0CZ481oa+tbs/fG95mgS0InaYK8rXGMEBOt3/2O0dx1epGLJ7CpXtOnnaVcklJG7LXr81eQCJh4PBEuUjp/OdBTbUU528vVKx2dxu22+XYXC6ClG2olMlkEU+m4QmsQK2UYsjKd5ZcH3HjUKsWf/DyIbQZ9ndhaUIY1i5fGnZh1rWEbDYrWKtMJMo9s+yeCFRVEnz2TBt6D+rXdezSuN86s87c5valYRc+9/wB2Fxh1NcqEF6OY8G7jOhqAv2Hmnb5LAmCIPhIJAzGbUGkMwAjEuGgWYN4Io0F3zLc/mWcPmIkh9w2IGdcBZA/GbLoVLgj9cJYr+R2O9nohsvDTrzybCv+5DM9XMqroa4akZUEPrzlAACuex4AnBswg2FE66Yk9LZoaWf0CSCUnqyQS3nXv9Woxj++PwVgrRlHXlFNtnYfwNcH3asnQ/51TaUyaDGpYTaoi6IPrNN+fPW1PozOBuANruBkjxG9bVqYdaqKuS/52rV5Irhi9cBiUPN0+6M13QJ87TKMCL/9fK4bE+n2yVN4XTOZLE4cNuCn+d1+154jn3muHX/xe8cxZPVUrHZ3GomEQSaThdO/IhgNx3apBcB1Rg1GVmF3RyARM/jk0xYcatFgdTW1mz+D2ANY9Cr87osHEYgm8Nc/ugcAvPlhPJmGzR3Bf/zXJ5FKZWhMP0HMBjXsnggymSzeOj+F1144iLc/mubPFab8XHYKQRBEOZDJZKGskvJ8BsGlOADgXH8zPTe2CTnjKpCOZi1C0QTOPtWI5dWH0Q3VVRKcOKTnpbxa9Cr8/S/HBSPjlmOJovcKLYrZf9OC+fGz3vUvVaOLYUR49ogJ33//AcZtIRxq0aCnvR6js36MzeX+PSiQxkpsHTaaZdwWQnerBofb6jEy40dttQxuv3DH4ZGZAL5wrqPix0smk4VZp8IXzpFuy41Sup1eWEKjrlpQt4uhVVgGVLCco9S0R2XEFsS8N4pUJosFbxSuxWXBaLj8LrU6rQIX7jjwx//sCI58uo7bfSZHHLEV6lQyHG7TwmxQF835GAb496/fQEdTDdnaJ8ixLh23UScVM5h2hARt7tCIh1KBCYIoGzKZLKKrSWGfwWqS7NQ2IWdchWH3RvHdt+7jU6faBKMbXjjezHu/OxhD9ZqXu/C95/rNgpETQt/JLuxowfxkKbz+QinEp/tM+PGHU9zfbO4lLr3M5l7i/k27ro+G3RvFt964xV3nZr2KK3zfqKuGhGEEP7cfOw6TbsuH9XRrrFdizilcgHd6Iczpdj9p93FjSm1F9wAAIABJREFUtQW5Gq3XRorrduVHw7FdaoNLcbQ31uK5Y03oNmsoDYR4JA631Rc1aZFLxXj1TDsu3nViyhHibK1OR6nPj5PRWT/+/mejePVMO5y+KFYTafiCMcH3jtsC+MV1Ka6PemluTRDErsMwIqhK+gya993a5nEhvFok9ixDI25kMlnMOMMld9ryuTbqwtJyQvC90bzIOABc2mM+7MLuV9fssLmX8KtrdnzrjVuwe6NF7xX6PPFosCnEnzzZglZTDV55thVSiVjwfrJRFuy/C7VAbI2hETev8HJ+0xR/aBU6rULwcweaavf9w4p0u3usp9vgUrykbnW1VbAJdP4jNo9EwuDe1CISyQyWV1Mb6t3UUI3+Lj3+rz8YwEtPm0vWASWI9Sice43M+AW1N+sMk619wnx024HlWBJvfvAA96cXIRWL0FzCwdakU+GXV20bzq0JgiB2gkwmi6UVYZ/B0kpi369ttgtFxlUQDCPCuC0EbY285E5bflSORMLA4Vsp+d55TxQMI8KcO1Iy8m1oxA0AMNYruboj+eH1AEXOPWnyG3r4/VH8369fF3wfG2Xh9q8AyGlBImEoymIbsGONhR1z+TV4SnUc1tcpd+OUyw7S7c7zKLqVyyS4YvXgC+fIdm+VCUcYI7MB+IIxJNM53S6GhJ+7+dFwLz1jgUVH15vYHkJzL5lUjLG5oOD7hWwt8fhgGBFG8pqrRVaSsHkieOqgTtDm1lTLoFXLUa2QcvPr/Lk1QRDETlJVJYFjrcZzYc1RhzeKqioJlc7YBuSMqyDYWkznby+gt6MedoEohi6Ldq2ouhvTC0toWpvoC733UEvuvfkpTfmpYq1GNUQiBr0d9by88SGrCzPOMCQSBrOupZKfpwnF48fmiUCnUcDuLr6fOq2Ca84B5NLTvvEPN6k+zDYorHsWjibw8rOtmPdE4PavoLejHiIRcOKwAZlMFg5vFDqtItel2OrGJwao0Gk+W9Fti1FNut0mQrr9rcEW2N0RzoaX0u2Q1QWLQU1pCFtg3hfFgn8Ftye88AZi0GkVaGusgdOXu65Cz11TQzUaaqtw4pCeHHHEtilMR7e5lxCLp3Bn0odOi1ZQe4W2tstCkZiPk0wmi562OthcD+ulBpfi8IdjvBpMOq0CCrkEyioJdFolfMEYjh5sQJVMjAfzIbLBBEHsColEGmajSrDmKERZJBLCZU6I9SFnXIXB1mIqFd3Q016Hb37v4QTNUKdEdZXwewd7DLhidQuGo7LpCx/emi/KG//c8wfgWlzG1//2Opr1Kgx0G7ii1Pmfp0X04+eK1V3y3lfJJLz0NEYETDlCvPowdE82z2CPEVfuu6BWynD6aCPevlBco/FkjwFiiRiJVBrW6Vxq0CdPttBEuoCt6LautgpXrW7S7TZhdVutkKLTosXPL88V67bXCDHD8HQL5BbnpN3NMTYfwvTCEt69PFvUUfkzZ9vh9i8L6p2i4YjHQX46OpDT1vJqCpGV5KZt7WCPYcfPu9J57ngz3r/xcN4cT6ahkEtwbW1Ora2Rwzrtx8keA94VsM1f/mQX2WCCIHaFTCaL3rZ6/MO7Y0W26Q8/1U22aZuQM67CYGsxXR314NyAGdGVBOY9URxq0WKwx4Cro/wJ2pDVhWePmPDpM+2weyJw+ZfR2azB6T4TWo1qvHNlTnDStrQcx6Vhl6Cjbs4Zxv21BZzNvVRUlBrYn0Xsd4JxWwjz3ggGe01IptNwL66sRWPUwuYKw2JQQ6dVQKdRYHhqkffZkbkgOTU2CcOIABHw9GEjFHIxZhaEazSmM1ncmnBjNZ4L26YFjjD5umV320wN1TAb1DzdVskkuDPu46VSkW63BsOI8PRhI+ZcS8hmIahbMSPC7QkvwtEE93fS7uawe6OYdITxzqUZdFq0gtfX4YvCrFfhU6fb4FjrpnrAXIuzfY3kiCMemcJ0dAC88iVDVhdO95mwmszNEUwN1WhvqsHUfAgWgxoWoxov9jeTXX0CHG6rx9e+0o+hEQ8m7EF0WXJz8xeON3N/+/jT+pI1JYenFtFiUMFMdoIgiB1GImEwOhsQtE2jMwGc6jFSCZltQM64CoStxcQ6u/L/+/c/H+e9N5PJ4tI9Jw6aNfj6HwxwnfLs3ii+//4DXgjqtVE3Th42YjWRgtmgxlWrW/D7vQV1R+LJNOKJFCwGFTyBGOLJNEVYPCHYFLTLw06olVKc7DHi4l0nbo17ufx+67Qfxzp1kIgZVMkl6O/SYzWRwrURN5aWExjsMdAkvAR2bxQXhl2QSRh8eMsBADjzVCO8JeouOrzLePVUG26MedBl0eKFE2boVLKdPOU9Qb5u5VIxDHVKiAC8+cEDnm6B3PW+MebBqb5G0u0WsNqCsHuieGety7bFoOalS+UzvRDG//l7/Th/x8ktGEm7G3NrahHf+/kYOi1aVCukJeuxOjxRNNQqEFhaxcHmWnz2TBsMGuHGGQSxVfLT0Vn7uRxLosmigsMXxWCvCcurKYQicXRaNNDUyPGTj2aQyWShrZHDE1hBq1FNc7QnROEcPf/vDCPCA+cS3vjFuOBnvcEYrLNBcsYRBLEr2ATKyaz3d2JjyBlXwbAP+fz/5tcLyqe9sZbzZhfWGmFDUD97tgPvXJwBAEjFTMmaN3qtAt7gCi+izhuMoUGjhE6bS4tlIyzyHYXEo8OmKceTaURWkojFH+5exJNpeIMxnO4zYa2GOPq79JBLGcy6luEPrcLuieD8bQel/gnAjgsA6O2oRzyZhrFeiVnnUsmx0N2qxUtPm/HKMxZkMlnodGr4fPTAKiRft/FkGnZPBK0mNWdDvMEYFzU3aQ/hSEeufs6sK0y63QRWWxD/421rQaRWFsYGlXDdsvpqmOqU+MK5Ds5Gk3bX595cALPOJWjVuQik4FK8ZO1WvVaBLosGPS20KUU8GZ7tNUIkEsEXiiEUiaO3vR46jQIqhQRXrR7ODkwv5DqoDnQbcHnYCbd/BUcP6EiXO4DQNbZ5Inj/xjyM9cqSdf3uPvBxcwqCIIidIpPJwthQXbLeLdmk7bGvnHGUFslf9LIUph8V1hoBco4cpy/XQUVbI4dzcRlmg1owhdVsVMNb0NCBLQwcT6a5id8PP5zCmC0Is14NtVIGsRg40aWnxfQjwKYps+kOaqUUX32tDyMzAUzYg3j2iAk//nAK8WQaDCOC2aBGeDkBCcPw7tfV0fKr6bfb45cdF8Z6JRfxElyKo0mnKlmD55nDuXG13+3ORhTqtjB1R8SI8OHNeZ5ug5E4JGK+bodGPGUX0bHbugWA66OeokgtTyCG/m6DoG47mmqLNnMIYRb8UbgCq7g57oV7cRk6rRIWoxpvX5gpbReOmNBt1tC1JZ4IuVTpED66s4DjXXpo1MCkPYRgJI6+Aw24eM/Fe388mcZqIgW5VAwAezYdvdDWloPt3SrW2QCci8u8zSgWtq6fRMzgR+encOIQRYMTBLGzmPUq3Jsstk3NZIu2TcU749hJyZw7itV4CjpNFQZ7jfu2LkupRS/7QBeqNcLi8Ea5Nsa9HfUYsrp4NZ6aDSpIGBHevpBLd2Aj6thIrPyCtRfuLHB15ezuCOeg+9Ybtyi65RERSoHobdGCYUR4471J7j4M9ppwc8xTFAE52GvC6GwAv1BK0dNat+P3gmFEXMffyfkwBnsNcAdimHaEudqHO+1wyR8X+REv8WQaVTIJbk94ed3Q9FoFzh5rIh1vgfVSd3744XRp3bof6nbMFsDfvHUfDbVVO95pdX3dajDYa0SrYecdhRIJA7s7UhSpFU+m4QvGcLLHgOXVh138qqsk6Gyu3dFz3KvcmfEjHI3jh79+UNSk4XSfCZeG+c/IA2YNzvaZyC4QTwy7N4pv/+AOOi1aHO/SFz3jWW1euOvkfc4XjOHTZ9rR06rdE/rMf07YvVG8eWEGIzMBdLdqcLitHiMzfozbQjnb22Pk5gzl7KBjGBHuTC5Cp1Xg0rALn3v+AOacYXjXbDM71zjepce7V2z4zQ2KBicIYueQSBjUVEsF54011VJIJAx1VN0GFe2Ms3uj+PCOI1ekOpHCYigGkQj44JYDzQYVOps0+/IhVmrRCzxMZXX7lznHGzuRsxjVuDHq4RwQUjHDq/GUSWdxYbh4xzWVyeL2hI/3d6G6cquJFGRShgqyPyaEJpwP5nMOJblUjNWEcIHg1UQKjQ3V+OVVG66NePCvXu2GRf9knQgMI8KcJ4IhqxtjtiB0mtzE02Koxo/zHDE29xLO33bgXH8zstnsjjpcetu1sLmXOP2zu9asUzqeSCEcTeBkjxG9bVqq6bJNCnWWc4QGAWxCt/XVGJn1Y0EhxZX7LvzvXzqGlifsAHMsLuPyfRdPt006Id0u4Fx/MxKpzI46ZDKZLNoaa2H3RIoita7czxVy19VWQYRcd+0Thyg6eTPcnQvA41+Gw7csqMdUJounuw2Y90RwuE2Lzz/XAaOW6sIRT5ahETeqFVKEInFo1MINWlaTaaiVUlQrpNwc73BbHV562rxLZ70+bBkTtp7x0Ih7zdGmRU97Hb771n3E1poktRhV+M6bw0W29/PnDsDmjmDeG0F3i3bHN2s2QyaTRUdTDaKxFKRiBm+dn8KZo03oVMsx61xCk06KE9163BjzwlivRHApjqGR8stiIAiiMkmlMpiaD+PiPSevnnM8mUY2CzzX17jbp7gnqWhn3M0JD3RaJT68NY8WYw2UCjFCkVWEIiI06VUYGnEB2L+71KUWqD3t9VgMr/KaN9ye8KLTrMGN0Vz79VsTXrz4tAX+UAzOxWU8fViP62NeweM5PFFoVDK41yZLALi0VRaGEUGnUUDMiKgg+xOEzfXP76xWiC8Yw8dOmJFMZ+ALxvCbWwsw1lVjZTWOga7He0/s3iimnWEwYgY/uzQDqUSM5VgSiWQay7EkXn62FYY6BQARPIEVrqZYILKKsdkAzt9eeGI7wwwjwpw7wk38O5prcfapRlwadvEccN5gDIwIePV0K1qesNNyP5LbIMg5Qrei284uLeY8Ufyv9x6grVH92BdfVlsQC75l3BzzIJlKwxOIweNfgaFOicEjRtwAYDGokK9dVreX7zmfqG4LF63tTTU4+1QjrlgfNuHxBWNobayBskqKL57rAEApqZvB/v+z96bBbWVZfucPDxtBACRAEgtJEFxFkCJFpag9tWQqt9o6a8usrqWn2tNtz7Qd5ZgPUxPR046YsMcz0T0dds04wu6xHTPd46pyu6rdWV1LZlVmVWfloo2ZqZ0iRZHiCoJYCYIkNmKfDxAggAAopSQuEt/vi0QQeLh877x7zzv3nP/xhvCH48wurOBZiuQ3lNbj8IR4Zo+Bk880sbdFt8WjFNmN5DK4A6tZjbgJe/kqB7c/wsn9TYxOL9HfWY+6SpaXVNhJzPtCLCyGGZkJ4PGHOXPQwt+8O0EwkgDA7Q8zNrvEkb1mzt1Y4NT+ZjKZTL5hRWGwccIe4OZdnzOeSHHxpovvfuPAjvMxj/eZ+fO/vprPtJ9xrtDUoOa5wWZmnKvEExn2ttfl/XOJINnR2X4iIiJPDzKZkG/UEEukivyfOXdQzIx7SJ7aYJwgSKjVKJHLpJw52ILLH6HLosO9FGHWuYrDG6K3rY55X2jHLcbbid0bKtpVzJUufuf1AX7+4QxH+kyY6qqxe0LcnFyktVHLi4dbaDNrmHEFsZfppmLUq/JOENzTvSjcsT3e38j7VxxF3ysKsj9e0ukMXc013JjwbSgu3tZUwxvv3SG8lsx2XYsm+GjEhcWk4b2rDl4YtDyWa2L3hrg1F2DauYp3KUK3VU97Yy2z7hUcnjCde2pRKWVYTDWsxZK0NdWQTme4eNOFezHC0T4z0Vjqsevb5YIYEonA+1fmi3bYlXIpX32+k09GPSRTadqaazDXq4EMLQ0a0SHeJI73mfjgquNT2+1vL81jMWkIRZP8+V9f5Y9/b/Cx2MroXIBrEz6SqTSJZBpzg4bnD1qYWlhh3h3C5Q/z9Zf3MOlYLbJdhye06XZ7e26ZEwPmksy8bBOeDj4Z9dDWWMPA4Qb+5rd3ODXQJNrtAzLvC+FdWePjUTe+QJSmBjUWU4UmGA1q2i01YiBOZMsobNKVSGYqNhZqrFcTXkvSYtIyNOJCLhV4YdCyDSOuzMhcgI9H3cx7QlhMGgb2NPDuJ/N0W/WolNlHl2gsu6kQTyZ5/YU9BMMxloIxntljILyWIBxN0mauQSoVWPCGeOmIFbc/jC8QpdmqYcKxsuP8S6tRwx//3iDnh124l8Lsba+jvraKYCRBIpkuKy1yrFfMZhYREdkaOppryq4rHc012zCap4OnNhiXTmeoUsqZnA8gkwooZAKTjhUUMoEWk5YLwy4+GfVwfF8jLUZNiYbcbt1pqtS8YXR6iZ62WpZDCd48N1PkDHwy6uG1M50Vxao7LDoyZDNXult0DOxp4N//3c2i98QqlJ6JKfiPl26LLl/rb9Cpyl6vnON3YqCprONnMWofyzWZcCzz87PT+eN7liIseMP5krpuq47lUJxEIpUvMVdXyXh2XyPRWJJzdzVvXj5qRSYT8t2AH4VyHVMLiSVSzLlWkcsEXIshrk9ky6//5NsHH/m7RSpjNWr4zusDnL22QMND2u2hXtNjm0/snhAXh11FtutezNquZynCYI+BxeU14olkke0e7DXw1vlZYHPsNtcgZ9y+XNZ27e4gDboqrk14OXt9oaR5j0hl7N4Qk84Vzl5z5jMd7Z4gp59pKmuPh/ea2N9Wt40jFtmN5Jp0nbuxwOsv7MmXEOVQyqXIpAJnry3ktTYvDDt3lK9VblNYWy3n9AEL735i52ifiY9Hi+f4CXuAzx5rI5FME1lLEFnLzr3m+mqqZAKH+4y8MzSXz6rL6ed1t9SW1ZDezmcAq1HDt17agyBIcC1F+NMfXGbQZmItJvrJIiIi20tbUy3Km26AvJxV7nWRh+OpDcZVVcmYcizT3aJn3B4gfHdhNuhVKOQCLx9p4YMrC6RSaa6Me/OLcbEehW5H6kpsFhs1bxi3B/ijL/Xxkw+myjoDUwurDE8uFonYG/QqDDoV568v4F9ZQ1+jRK2SMdBexx//3iBDox5uzwXY11nP8ORixe/drYHRzcBq1PDCoIVLt714AxG+9mIX7sUIkwsrdDXXIpMJXLvt21Cba2phhVcOWR7pmgiChFlXtgGCSinj5P4mllbX8rvcf/A7ewlF4/zi7ExJUOULJ9vxL6+RSKU53t/I0uoa/8v/+8kj3a85GyvXMXU93sAaR/aauDTm4flBi1hOvUX0t+qprZYzOhvgpSMtrITizHtC9LTqGeiq529/O3lfTTlvIPLI84lMJuD2h8vabiKV4hsvdxNaS/Dbi3Mltvul0x0IgoRBm3FT7BbYsJTXsxTlyF4TS6sxnt3XJNruA2L3hvjgujN/jgs7+J4fdvGl0x24fGGc/jAdTbUctBnoa9Vv86hFdiOFTbpmFpY5c9DC4nK0qAnA0EhW27ewi+pO8bXmF0O8f30BAHN9NSuhOIM2I2vxJDcnF9nXVU+9TkUild3EkMkEvny6kwVfkHPXnRzpM5VsGCvlUr75GRvJVPHfltV89WA9c28O3EnPAOl0hvPDTtQqObPuVTIVrs1OuXYiIiJPN0qllPG5JV491cGCL8iCN8xgj4Fmg5bxuSW+cNwqlqk+BE9tMC4rWl2Df3WtZAdNKZfytRe7ONxrQq2SU10lxx2IEk+k8tkFcE/4dbeUShaWOKzHZtXTWFeNd7n8Q55rMUytRpFv6JATdezvrMe/soZEkHCwx4RvJcY//6tL9LTqeLbfzDdf7CKdzpBIpsumvdqsetHBeMyUa+CR+/+8L0QwkmAtkaz4QO9aDPPrS3ZsLQ/fdU0QJDgXw5wYaMJcX81b54ud56u3fXz+RFvZoIpvKYJnOVrSVfNh7lf3cpQLw05GpgP0tOqRSAQEQbJhOWRPq57PHWnhC8esom1uMS0GDS2Ge7ZbaMMdltoN7dYXiDLQ1cCcJ/hIzTXG5paZ94Qq2u6VMW9F23Uthnl+sJn3Ljs2xW7T6Yxou5vA7fllhm66SvyIXFbRlTEvB3uNnDlkYU+jWKohsr3k1njPcpRfDs3hDURo0FWXZMlBdl7U1yi33deye0NMOJYJRxNoVXJOPdOEwxvi+UELPy3YBLZ7gtyc9OfvvS+f7uTNc9P5rOAZ52rZuXdkcpHffXEPP3znNnKpkM/oKAxkFWYYw/Y/A9h9IXwrMRQyaXbNkiD6ySIiItuGRAK1amV+zoWcP+TjzEELEsk2D/AJRdjuAWwW6XSGpdUYCxU6nU0vrNJoUCORgFwm8P/9cpRzBWVHhe/96G7Tgt3A8T4zSrm06LVcKVM6naG3wm6/xaQhHM2m/xeKOqqUMg71mhi0Gbg5uUgsnsRi1HD2upO/fGuMubuOxfE+U8XvrYRwV7hW5OEodN5y/28xaHj5kIVwNIGhQuc/i0nD330wzfd+fA13hcDH/XAHwhzea6RKIeANRMved05fuMQmICsS+tJBC5CpWLJxP0bmAnz/1+P8h5+O4F/JBi8+vL7A+1fms40ZCjqmFlJok6Lzu33kzn3hNTg90Lih3Rr1KoKRBH/6gyvM+0IPNXcs+LNZE4O9BqqrpA9lu4p1JY25zzyo3f6nd27zH346QiAYZ39Xsd3mjiXa7uNjxB7A7glWzLZUyqUY9SosJq0YiBPZMdi9If70B5dRKWUEgjEkktLOqpBtphWOJrasXL3cvGv3hvjej6/h8IYw1avxBCLIpAIGvapicG0tnqS+VonTF3qgrGBvIIrbH+ZrL+yhv7MehUxKf2c9Lxy8p5VXSablQebmx43dG+LPfnCFy2MeWkxaovEkGpW87Lx+Yp95y8cnIiKy+4jH06xG4mXnyWAkTjz+6LIru5GnNjMOshk8FTudeUM4vCHaGrWoVXJePdXJm+dnyr731swSb1fL6Wure+oz5ApLHMbtAWxWfVEpU06PZL0GiSCRMNBlyJeoWs1aZFKBZKq84OznT7RxZczLby45ONZn4tasnzOHWghFsqVn/R11nNjXiFmvKkm/t3tDnB12MTm/jLlBTVdzDd0W3VN/bbYKq1HDd79xgAnHSlm9GUGQ5MuR//KtWwzajPS36x8o2yhXArIcimM1a1FXyblzp3yJsmsxjL5GWXIPNzaokcqEivf2/Uo2RuYC/MUbw/ky11z5y6DNgAQJ8UT2AbuwY6pveY2eVr1Y1reDuZ/dtjXV8rOzUxzda+b9a06CkTjmOhWHex7smtq9Ia5M+Fi4u24kE2nG5z697VZ6WHwYu71+Z5HDvUYyGYjdDQxlS69cnBxoRCGTMrmwUjKPizwYl+8s8lYFvwCyWUWmumoO7TVzoF3UhxPZGQiCBFcgQl97PXfsy7x0xIpUkJSdF21WPa8+27bpc8NG5Z8f3XJzYqCRGo2S7/9yjEO9Jt6/4kBfo0QhK93UgOy919/RwIzzXiXHRlnBBr2KSccKHU2Z/HnI6catRuIY9Cp8K2sl+o+wPWWgucBgoQaqIEjudXFfjtLZXEt9rYq/emuMZqOGo30m+sXyeBERkU1CoRBweENlfzfvDaFQCKytbfGgngKe2mBcMplGpZRX7HRm0KsYmfJj0KtweEL8+qM5PnOsFaO+mqERV9Gia9Cr+MW5GX5xbmZXlKyWK2Ms/F1hsM5UV41MKnDxZvac5UpUXf4w/R31+CpkjtjdQTxLEeyeIJfHPBzqNXFh2IlKKePMQQuxRIr/+PMRLEYt2moFkObY3uzuX2EZgd0T5MaEj6N9psfW5VPkng10t9Ty0aiHWzNLGPUqlAoZZODquJdBmxGdFj4edTPjWuHk/iYGNhAsLywB6WnV4wvIWIslK3Z8azFpGZ70Fb2mlEtpMWn41YVZjHXVmOvVJffr/Uo2rox7S5xcuBcoPnOwhS+equXSmAeNSs4rhy20mrRiNtETQDm7NTdUUyWX8ncfTHJioBEJEIzE80GxD647eeVwC+YKGXVQ3Njjd1/cw+3ZAMCntl2LUYM3EOXEQNOntttPbnke2G4Lg2+iltDDcX3az6VbbjxLkYoP+C1mDQd7TTwjNmoQ2QHkSj3tnhB2dxCDXkWzUcPPz06jrZbztRf3MOlYxu2PZOeIflPZ5gWbMa5K5Z9tZi11NSrePD9NtzUbSMrpfm4UXLOYNEiQ0Gy85+MXZgWvDzpWKWToa2DauVq0UZJIpUmlM1y+5WUxEC3Sg8zNm1tdBprTb16vgZpOZ/JSMN/6TDdvvDeZb0gx617l8piH77w+IAbkRERENoV0GixGDXZ3mTnZqCEtJsY9FE9tME4mE2ht1DDrClZcmGOJFL5AlAadCrVKzoxzlQl7IK9Fsf69wK7qWlTJ+SgM1v3tB5P88uJc/ne5EtWjfWaujfvKfh7u6ZS4/ZF8yYFKKeMLJ9qLatHn3Pc6IX7vx9c4utdcNrgXXkty6bZ311ybrcJq0GB9XsPb1XJ+cS6bIdLfWc+gzVgSELg56ecrz3fS01I+S7GwBKRGLWc1HGdxOUqLSVv2HlWrZEXZlhaTBpkgwe2PMLWwwtTCSpFuU+5zG5XbyGQCMwurGwr9h6Jxfvf5jiJdLTGY8WSx3m5zekKmuuqy4t5VCimZTKaiWHfOdpVyKcvBGPFk+qFs17MU4fwN50PZrf3uXFjJbsNl7BZE230Ybs8vM+cO4lmKbviAf9AmBuJEdgZ2b4j3ri3w8Yi7ZH57dl8j5284GZtdwmJQ84+/2LctWV6F5Mo/BQEm7AHUKnneL8xtlGx070mQMDTi4qtnOrl623vPR7+bFZxKZ5j3hPJNK66Oe/nCiXYymZWizI7j/Y386sJsRT3I7eg4ndNvjm2ggXprJpAPxOWIJVJ8cssjBuNEREQ2BUGAmmpF2Tm5plqB8NSKn20mD/R9AAAgAElEQVQuT20wLp3OkEylaWyo5svPdTLvCeLwhkq6SRn0KuRSgcBqViRVr62iTqukp1Wf1WcoeC+IXYsKSaczHO4x8e4lR8lN2dlcw/UJ34YlAyNT/vzPvkCU5webmXWuVNQH0WuVTDiW89l3gdVY/r2+QBQJ29uO/mmmr62OX5ybQV+jZDkYQ6ct1Z+JJVLcmV/mlxdm+O43DxTtuK/v1OtfiWGqV2PQq/LloIVdeLssOtz+MPPeIG2NNXQ21+JZipBMZYrux1giRYYMe1p0dDTVli3FW28T5gY18WSqopM77wmJdvSUkLNbyO7azXtCZe3WtxxlZMqfzdb4/YMVbVdfo+TW7BIGnaqi7XZaanH6im133hMkdffhMfedmczGdpv77nQ6QzKZpr2pZkO7tXtFu31cJFPpfOa83RMsuc4Wo4bWRi3PdIiBOJGdwaXbHlKpdNn5LZ3JVi34AlFee65zW7K8CslujKhYCcewe0N4A9F8Flyu8VfObyx378mkEs4PZzPX/va9Sb71SjeT89kgm8WowVSnZnElSrdVx4xzlWajnIM9RuZcK2hUivw52mhzI5lK84Vn2zjcY9yWTd7jfWYu3nTRbC2t7tHXKHEthst+zu4OIpMJJJNiioqIiMjjZzUSz0sV5fzeKoWMYCS+3UN7Ynlqg3EArsUI719xoK2W88oxKw5vqEgzQymXoq6SkUpnF1+LSUM6leHG5CLtTTUYdCrcS8WaP2LXomIqacwp5FLePD+zYclA4WtNDWqSyTTeDTohCoLAwR4js67VrF5IQTmBQa/CVFctXptNInedL932kibD6NRS2ff5AlHUKjlvf2SnoVbJ4R4TbWZtSadehzfEYI8Rjz+MXCoUdeGdsAdoa6zh6riXtsYaRqcXCUVqWQnFmFpYKflOhzfE//6PjpY4n5U0aqwmLWMz/rJOLmQ7Top29HRQOD9JJFn9z3IUZurmbbc3W8JVaLuB1RhWkxapVEAhF8rarrpKht29CkhY8AYJRRKMTpd2MXR4Q/zpHx0r2wa+nO0e7jVyddxb2W7FtemxMLUQIBxLYqyrRpBI8utX7jqb6qqpUkhpblBv91BFRIBswKtWU8XNCuuywxPCVFdNt1W/YTn+ZlA4fwqChGf3NWLQq1jwhXH6wlQpZHk5mSpF9pGk0G/MlWZqq+WcPmDh9uwS4bVEfq6TSiRMOVaZcS7z4uFWfn52ios3s5seuXk5Hk9xbcKHqb4aQXJP0Gijhg9uf4R/8qWtzSAsJKeBent+uUTrLxxNsKdbV3YdsJq1YiBORERk09hj0fHjv58AsnNoLrHmGy93b+ewnmie6mDclCP74B6MJPjpB9M8u68Ri0mDwxOisUFNkyErpj004kIplyITJJwdzi7iuVT1o32mbU1XfxIoLFud8wS5OJJ9iDy810xjfTW1GgXBcBy7N8Se5lriyRTnh+9lNynlUup1Km7PLlXUYDI3VKNSyHnrfGmJ2cmBbBfBwz3GrfmDdym56zy/GMK7FN0w41EhCzPnXuXdSw7OHGwhk8nQ31HP2etOorHsTrS2Wo53CT5/og2nL4xrMUyLSUNvWx0fXl0gGEkwOrPEs/saEQQJMplQNhjX3aIrcj5zdlhJo6bVpOFAt4F6naqsoLV4jz9dFM5Pf/Wrsftm6roW79nua2c66W7R8Wz/vcY1bY01vHl+hoM9xiLbbWuqoa1Ry9/+dpJoLIlMJvDa813Me0s7cQLZTLeCQFwuq20jfaVvf64Xtz8s2u0mMjG3zH96Kysif3Xcy+G9JtKZTN5vaG3U0lhXzV6rWAomsjOYdQf5eNSNuUFddn5rbFCzuBxFJhX4m/cnK5bjbxa5xl+Hek0IEkrKQk8/01TUNCmeSHLmoIXg3YZeucyLt4dmObm/iXg8hUKW1eCsUSvwr0T57PF23rs8X1S6mZNNUciyQTmDToVGpaDZoGbBG+Zov4l5b6jCmlDFyFyAvS26rTpNJeTWrhajhk/GPMwsrOa1e8116rIb3Uf2iuuAiIjI5hCPp5FK4UunO/KNMA/2GLEYNUiliN1UH5KnOhhX6Jik0xku3nRxan8zB3sNVCvlOH1h7O4ggzYDLSYtPz87XfT5WCJFNJ6iuUHNl0+380yXQdQk24BZd2kARKWU8U++uo/xuSXqa6tAAj2tdUgFgWnnKlaTBlO9mgVvkHpdtmS4nINRrZQTqtBOWSKR8MJg8wN18xR5dFoaNBzf11g2IJDLeMwFN7IlgJG7JYAO/rsv9zM5v4zdE2TcHoCMBJcvDBnY215HPJFiwRfCYtJgrKtGIoFLBcL15Wzj5EBjSSDYYtRwqNdUJMKc06j5+plOMsC1CR+fe7YN33IUhydIT2ud2HHyKSadznCo18THo54NM3ULbXfcvsyb52d49WQ733l9gAl7AOdimM8eb8XuDjJ8Z5E9LbU0NVRzddxHKpVhf1cDUqlAk0HNzz6c4lCvqazdHurNbh64A1Eu3HQyMh2gp1VHfW0ViVSxQ1Nou7eqZFkh9vllnIthulpqOT3QJNrtY+D2/DKjM9mg7IxzhcO9RsJrSZaDMZ7ZY0Aml2DUV7O/o36bRyoico+hUTcOb4iBPQ1l55oWk4YqhYzffDJHOp3JB/e3as6wGjX8s98/yNkbLpZDsRI/7vywi68818mca5V5T5DOZh1NRjUfDQfptupIJDOcu7GAXCpQrZTx8YgbfY2Sm1OLqFVyAqsxAqE4Pa11zJURFjfoVUzYA1QpZHx4zcHzgxZ62vT87MPpivNzW2Mtl8e89O+ATHm1UoamSkZjgxqjXkUmk8HuWeGbr9iYsAdweENYzVqO7BW7qYqIiGwegiAw41wlnsggSCTsadERi6dY8IVRygWEw6Jo3MPw1Abj0ukMXc013Jjw5RfZ4/2NfHLLzaDNyFo8xHIwRrdVR2dzLb/+yF52wfUsRUilMtTVKLf6T3jiKCfSO2gz8hdvDJNIpTne30ggGOOdj+ZoMWnpbdMjlwm88d4dlHIppw80c/6Gs6gW3ahX0d2qJ5lMM+MszYqCbJMHsdvl1jLYWc8/fX2Ay+NeZhZWi7QY1wc3CksAL9/y8KVT7bQYNfyz//hRPruxXldFlVJGKBrH54hirs+Wghn0qiJh5vXaMR3NNXx0y8Nf/XIMgy47hnlvkDn3aolIPtzTfOxv1dPfqs9rq4haW7uD/lY933l9gEu3PMx5ghh1qiJd0HK2q1bJmV5Y5eNRD//o1b288cEUV8a8eJYi1OuqiMbS+JZDZDLZzny1agXnbzhpbGjLBtHW261JQ31NFbXVCv7zu3eYnF/GoFdhMWr4+0vzyKVCid3CPdvd26Jjb4uOVw5ZSKczot0+RtZiKVQKGf2d2U7g4bUkGpUClz/M6IyfLz/XSZ91+zJlRETWk9NkyzUkO9pnIrx2T8tHXSXDF4jw4bV780kuuL+VAXy5TEogGGNxubQsNJ3OcOW2lwM2A6b6am7PBliNxNDXVPHeFQdyqcA3Xuqm21LLR7fc+Yw3IJ8J192i40iPkQ+ulmoYtzfV0NpYw88+nMrqxMWSBO9u7lbSpPMtR0gkM/zzv7pUJHOx1di9If78r68yaDOSTKW5cWcxq03aXMsP3h5DXSXjWJ+Z33u5W1wLRERENp0ZZ5Bmg4ZkKk0kmEQhE5BKswk2Ig/HUxuMA+i26PKOyXIwRiaTKekCObWwwrnrTr5wsp1Z9z1DymlNdDVntS5Gp/2cu+4sEfcWyVJJpDcnjntioKmk+6ZSLuWLpzrQVstRq+Scu+HkoM1ILJ5kORTjaJ+Z/nY9rSYtc54gC75w2V3PB9XxEwMuj5e+Vj19rXrcy1EuDLu4Oe3nQLehqEEKZHelR2eWODHQRCKV5t//bIRDPQ3s62rAs5TtptveWMtHdz+jr1Fy484iAL9zsj1vH4HVWL5cvK+jnlQ6w9BNN+G1BIHVWL7bZC6QkWv8Ubjrvd5WcuWtol3sHgoDsTOuVS6OeLAYNflg7nrb1agURONJEsk071520N5Ug1wqYPcES+12IttB+lCviXlPKG+7l8c8+fd4/BEO9hj5V//lat6u13fwW2+3UNl2RR4PU84g3pUoYzOL7O824fQFuXLbm+/mnc5kUCmfapdJ5AmkUJPt4s1sYEkuFWisV2OqqwZJhrcuzJZ8bqubkV246aSmWoGpXpVf9ws51Gss6nQNFM2J/pU1rIPNgJn3ryyUvO+5QQsGjYI/+fZBzg+7mHAs09Sgpqe1jo5GDUgEfnk+24Qq1w0byGvS5Xx+z1KERDKNXCZQXSXD7Q/fkwrYBv9/aNRdtnv9yJSfkwONnL3uRBCE/HUU/VwREZHNIpPJ5OfquhoFh/c2cumWi6XVOK+eaieTEeeeh+Gp9iytRg0vDFq4dNtLnVbJtHMVnVZZttTRuxRBWy0nvJbMa1bU16pYjcRJJNP5ZgHvfGynviYrTC+WBd1jvUA/3BPHrdSxKpFKk85k2Ntej2sxTF97HY0N2ZLVWo2SyFq2M4vTH+Ff/+gaA12GsuUE99NKqiTkL/J4MOtUvHa6gxP7GvmzH14u0mzJZRodvOtMJlJpnt3XiHtpDYc3RH9nPeoqGWvxZFFGZH9nPSqlDIkEetvrcS+Gixp2SAVobdSSTKWL7s+hEVdRIKMwK0/U1RIpJJlM02LQ8PUzGtyBprK2295Uy5vnpvOZvcuhGHccy7SYtDw/aCGyFi+x2yqFjEQySYOumt62Otz+SJF9PruvlqXVNbqt+pJGNDnbLbTb3FhE291cImsxatQKmk3ZTuDtzTq+cLKT//zr28TiSfZ11dNhEtcNkZ1HX0d9XtNyaMTFyYFG1hJprk/6aDVreXZfIxdvuoqCNFvZjEwQJKTSEpLpNKNTK0VzXjqdQVstx7kYLuub5+bEXPCwUtOwve31+HxBrEYN33ppD4IgAYo32r72Ytfd7A1JiT5xLtvuWL+ZZoMGbyDCnCtYNNbCxlRb4UMKgoSphVVqNYqy5yaRylBfq+R4n0n0c0VERLaExZUI3/58L7dm/AW+Uj1TjvINhETuz1MdjIN7AqgGg5a//MVNrt72lX2f3RPk9Re6WA0neOv8DId6Tbx/xVGSyXXmoIUr4z7eveTYUs2NncJGu245kd7cOcu1qo8nU2U7Vh3vbyxpyDAy5edQr4nrEx5U/Y384sIsvuUo3VY9Egkc3msiGss++FrNWl46aNnwGmwkhr7brt1mY9ar+O43DjA06uH2XACDrgqlQsbVcS972+vyGZI5DTggn8322pkufvL+ZMn9drTPxCej7qLXTg40Yq5X8/MPp0vef7y/kXlPMB/IsJq1eJYi7O8yiHpwIhXJ2e75YRcTd8tG1VUy5lwr5TN772O3lV4/OdBIt1XPD9++vaHtdrfoUCqkjM4s5R82RdvdPBQKKdEkfP+XY0XX5cqYl29/vpfffDxHq0m7zaMUESnPrZms35QhQ021oth3XZcxDlsf3J91B3n/ynzJnPfKESuBYAxbq54PrjrKfja3MVEYPCxsylPJH13/ut0bwrkYweOPcGyfmfm752X95q7FqOXNc5V9i1xzn63yIQ/3Grgw7C77uwVviNMHLKxGE/zFG8OinysiIrKpSCQSui11fP9Xpb7SP/h8LxKJZJtH+GTy2IJxNptNCyTHx8fL9wnfZm7N+AlFEhW7dVoMGt4ZmqW/owGFXCibyRVLpFgNxwlHE9uiubGdPMiuW7kdy76OOv6fn4/QbNUUnfdK2XK5ndBT+5v5aMRV4lAe6jUxMuXPlxO0mTfWiiunY7fbrt1WUugkj8wF+OCKg962unyGZKzMNQeYda+WvU6RteJyvVgiBRIJ3kC0ou00Nai5NuFDKZfy0kHLfW1ERATIZ1S4A1HOXl/Au7zG4nLlzF6obLeFGcKFr0skEkam/Rva7uhMtvzIatTwtec7RdvdAgRBwvCkr+x1uTXjZ9BWL8pTiOxIBEHC2Owybn+Yw70mloJrZe04k8nQZclqJG91cL+SH7YSjjPpCHBrxk9/Zz32DZovlAsePujcuH5Tdsa1yqn9jbx6qh2HN4zTF8pLEsw4V+7rW2y2D1nob9tadbSYNBW7gL/7iR2bVS/6uSIiIptOOp1mZKa8Dzsy4+f5A03bNLInm4cOxtlstr8cHx//hzabzQL8GOgDMjab7WPgH42Pjy88rkE+Dj686uDWzBLPD1pKukCqlDLaGmtIZzKM25c52mdmwr5c9jgOX3Yn6u2h2S3X3NguPk12WS4Yk+sQ+NMPpnn1ZDvpDEXnPVfCWg5fIIq+QjnxWjwJgNufzXba6NyX07HLsVuu3XaRTmfY26JDWyVjbG4ZuUwgnkzhLXPN9TVKHJ5Q2eN4A1FeOmLl7aHZ/LWada7SoFOVfb8vEOXYvkZqNcr8A4d4jUU+DWa9it8904VnOcovh+YqZvZuZLfznlCJ3QLM3Md2P3uslc8etebnVdF2twaFQqh4LR2eEL/3im2LRyQi8mDkJEJiiSSRWLJsgwSAhcUw/9s/PLLlWpOCIGFsLlB+TN4QB7qNSCQSZFJJha6mNezrrH+koNL6YGA6neHDa06O9Zk5us/MuWup/CavQiYtewxfIMq+rob8cTbLhyznb59+pnwn+SqFDLVKXtav2swxioiI7E7u5yspFAJra1s8qKeAR8mMO3D3338H/HB8fPw/Athstt8HfgC8+DAHtdlsAvB/A/uBGNnA3uQjjBNBkDA6s4R/ZY078wGO9plYS6RwL0Yw6FW0N9UWlRR5lrIaP2V3onQqzl5zcLy/EY1KvisWuU+bXVa6C7lCrUbB//C7+xme9DNuD9DXXkc0nip7js0N1cxU6MqSK1kIrMbuW2ZRTscux1bqpexmWgwaWgwa7L4Q3/vRtZIMSciWMx/qNVXc+c3db7kSG8sGAbbuFh2fP9IiXluRR8akU/HSQQs37vg2sFvjA9stgKlOhVQo3/q926rjWK/x8f4RIg/E9bsdCstmzZs0GHRVhELxbRiZiMj9Od5n5uJNFwqZUNGOe+92pd9q5jxBDDpVxay3c9ez8+MXTrQV6W8a9Sr0NVV4liI4vGme39/0UOv6RpuyzsUwM44AjQ1qRqf9eWmVSvPAby/P53/eLB+ynL99ftjFl0934PZHcHhDRd3r5VKh4phFP1dERORxkk5n9brLzTdtTTWkxb5iD0X5p4JPR3suEAcwPj7+A+BRnii+DFSNj48fB/5n4HuPOD7S6Qx9dzWrFHIZH496uDGxSDyZYsIeYHZdWnoskaJKIUMpL94hy+1EBSMJYvEkz/Y//YLaD5Jdtp5yzsRKKM61cR9fP9PJv/iDw7x2uoPTA41lz3GdtgpDheyRxgY1B23GB9bCON5nLvsdohj61mI1aPjuNw5gs+pLrgdAX0fdfe83pVyKUi6lyaBBKhXKvv/kQKPofIo8NqzGje12T5nXC+02kUqhrZbnX1fIZZVtd1/j5v0hIhvy4VVnxTV/oKtBdDBFdjS5eaqtqQZ1VXk7Bgl/8/4kdm/5rIbN4uKIe0N/OpZIZZsnLEUYnvQxMuUnnkxxc8rP2WsLGPQq5GXm3gcltym7HkGQcHivCU8gxs3JRfo76znUa0JV4fwJEglrsWT+583wISv52+l0hstjXjxLYbqtOkam/FwYdpJOZzZ8XhH9XBERkcdJOp19Di8335jr1aKv9JA8Smac1Waz/THgt9lsXx4fH/+ZzWaTAK8D5dOaHoyTwDsA4+PjH9lstkOPcKw8zw1a+O2leYZGsq3fM2RweEL099WXLUkdGnHxyhEroWgCuzuIxaRBgoShERcAvuU1Wk1PvxbVp80u2yh4NzG/jDsQxazPBtrWa8ztadGh1yr5ZNRDs0nD6WeaOD98rwOYUi7lc8esn0q7p1LnLVFHY+vJlTB3t9Ry/oaLCccyjfVqOptraTdr+YPf6eXaxCKuxXDRzi9ky1W/9ZluImtJfvLBFOl0huP9jcTiSXzLa/S0itdVZHMotNuhkWxzkhaTBk21gqWVCH/0lX4+HvWUtVv3YoRnB5qo1SjwLEXyWSCi7e4cVCo5c54gDm+I4/2N+cwcg16FQadCLROIRMSsOJGdjdWo4cqEB4tJg7GumnlPCNdimLamGhpqq3h7aI5oLLmlwv45f3DeG+R4fyOJ1L2KlMJ5ErIlTt/+XC837viY99zrtL60EqWrWfdIvvb65mIAJwdKG4gp5VJef6ELAQiv3ZsH1FUyWkxaHN6aTfUhN/K3DXoVI1N+zPWl33t13Mt3Xh9gdHpJ9HNFREQ2jUwmwyejnqIs5tx8fmnUzVdOtW/3EJ9IHiUY91XgEOAHXgF+BvwJ2cy2f/AIx60BVgp+TtlsNtn4+HjyEY7J3vZ6/unrA1wa87KwGMJi0BBPpvh41E23VV+ScplOZ1gKrjHlWEYuk5JOZbg24c07BD2tuyf9u5wjU2nXLetM6Cs6ExduunjtdEf+tUKNuT/74WWCkQSQFUZXyqV85blOLt3y0GrW8uIhy0OJaD9I5y2RrcNqyArl57IqZ91Bzt90sRZPoVRIiSdTJbqOBr2KN96b5Osv29jf1YAvEEWlkPLKYcuuCIqLbD9WgwbrmXvziN0XYmjUw3uX5jHWVVe02w+uZLsEvnqqg8FuA77lNTQquWi7O4RUKk2rWYvdHeTCsBOlXIq+RsnIlJ+j/WYkj5CVIyKyVQiChERSwk/emyKWSOXt+Nq4lxN3NwSiseSWCvsXBpcuDDvRVss52mfm3HVnSfVEe3MNqVQKmUygQZd9uDPWVZPJZGg3P9pY12/K9rXXEYunyjblmXGucvGmq2geiCVSfOZoK//iDw5v+nxdyd/OZRF+fMvN73+2h4n5ZezuIFazliN7TfS36ulv1Yt+roiIyKaRSqVpMWk4d91ZMkeePtBMKiWmxj0MDx2MGx8fPwuctdlsE9wLvv0fQAD4LfCwLTVWAW3Bz8JGgTi9vhpZBcHV9Tx/yIpcLmMlvMYvz8/iDUQ53t+IsU5V8hCllEuRS6X4V2IAKGRZo3P7IyjlUl443ILBoK30VVvGVozBYNDyL//oeL4Jxt72Op4btLC3vb7ofWOzfj644qBaJcuLzeZu1nA0QZVCxujMEv/4tf0l3/HG2el8IC5HLJFizrUKZLh+x8fvnOrYEef8cfBp7PbT8KSdn/M3Fvg3P7pGIpXmf/zmICNTiwRWY2Ud0WAkwcjkIk0N1fw3n+uhy6LfxpE/PE/aNVrPZtjuk3ZOLg4v8H/+l2vEEilO7m+ip62OC8Ouig9QAM7FEJ891sbRJ7gc9Um7ToVsZLdGfXV+zYolUvl13qBToVXJnsi/+0kc83qehr/hcfCgc244Gi/qPO72RwBYDccJRxN5f2zaufKpzu2jXIcXDlvzwaVgJEE0VhoAU8ql1NdU4QmsYdRX0dygJhpP8euP5vgnr+1ncO+DzZkbjdNg0HKwL3ucO/MB/s2PrpW8R1+jxHG3jLfw/EFWlqW+TFbaw3C/ceb87dHpJQy6KpQKGVfGvZjrq+lpreOvfz2eH++lWx4u3fLwL//oeIlPvt1slp/7aXkS5pGdPsadPr7Hyf3sdjedi3IU+ku5OTLnL9XWVm/z6Lafh7GPR8mMy/GHwF/abLY3gUEgChx7hONdAF4F/qvNZjsG3NzozYFAZKNf5zEYtPh8QapkEv7i7dt0W/W0mLRcHvOQSKXzZUPegpTLwhR6i1GDZynCZ4+1cmyvCYNGgc9XKmC4leT+pi35Lo2C1093IDzfmd918/mC+RbsY3MBDHd3M6/f8fGFk21kMrDgC+NeDNPRVYtEks0oXD9mQZAwOr1U9nu9gSjxZJpgJMF7l+YxaBSb/acCmz/ZPqjdfhq20h4ehZzNTC6sYNJXZ3dUnmni+78axWbVc/pAM6vheNmyP5c/zBdPtfPOxVluz12np1XH8T4zbeYnI8Nos6/RVjgJj9t2nxS7haztXhx1sxKK5zcbDHoVb56b4ounOpjzrFYsw1rwhhi3L/HDd27n7fZJytjdzOu0nXYrkwlcGfOWLbu4Mual2aB+Yuwzx5N0T1XiSfkbdsqcKwgS5sqIagM4vCFOH7Dg9ofvNkeo5sqo64Gy4x71Ohg0Cv7k9w/yzsd2nL4wggDffKWbKccKc+5g/l772dlp5FKBV0+14/CFIZPhf/rmAVoMmgf6/gcdp90b4ns/vla2IiawGmOwx1CxGcLjsMcHGadBo+Bor5FbM0toqhXoa5QMdDXgX46SSKXzAdfCYOGn9Y93it1uNk/CPLLTx7jTxredz2c77VxsNffzl750om1bGgXtFDayj43s9pGDcePj4+dtNtu/Bf4V2ay2V8fHx+2PcMifAi/bbLaLgAT4g0cdYyFDox7Ca0me2WPgxh1fflHLlae8dMTK2WuOoiwtpVyKTqtEX1PFkR4DLQ9RKvm0UPjQuL5rqt2d1dw41GtCkAi8eX66RI/jO68PlD3m/XQyAMbmlnAHmjDrVUUPsE/Kw6wI2H33bMZcX40jEUIplxJPpuluqcNcX82vP5qjr72+bNmfxajhez+6ms9YnXOv8sHVBV483IK6SkZ/e92uvj9FNo+c7eprlCju7ppaDBrkMgFjnZpgJM6UY5kD3cayZVjNBg3vfDRHMJLI2+3XXuxibDaAuU7F4R5R42c7SCbTtDXX8MEVR0nZxbMDjYxML3Fsr4m1tUdSyhAR2VTS6QzdLbqyXUstJk2RX2v3BLk85tky7TgyoJTLaNCpSCTSzDiDJJLpkjU+lk4x41xlwh7gxP7mTSnjHxp1E4wkUCnvVXDkEAQJNmsdV2/7SrKct7oZwsURN7OuVZoNGn51YTbvM82Xub5wr6Ga6AuLiIhsFjKZQIu5cpmqTCbs6mDcw/LIwTibzfYBkAL6gTbgRzab7c3x8b1Yzn4AACAASURBVPHvPszxxsfH08A/ftRxlSMrJhvg1P5GfMsRvMvRot/HEineHprllSNWloJruBcjtJq1VCllvPPRHOl0hnc/sW+dA7ODEQRJ2a6psUSKWDyJwxMs+7vR6SX6W/VFx0mnM/fVyQAw6FT82Q8v8+rJdoZueji+z4R7KcqUY6Uo00Rk52H3hrh028Piyr0S1MBqjP7ObNBNp1Hy/hUHiVSaFw+1UKNWcG2i1CHWViuQr0sfjyVSLAdjjM8FmHau8tyB5iIbExF5FNbbbs5u7Z4gLx5p4fu/HCOWSCEIkrztrkcpl1KjVqBWyfMPxLFEiumFVZaD2cDye1cdvDBoEeewbeC5Z5oYultmXFh2IUgkTDqWkUhKu4aLiOwU7N4QZ4ddKGRCSYBJKZfS3KDh4rCr6DNbpR23ftMWwGrKZggUZnbl8AWi6LVVhCLxxx5YyjWUEAQJjQ1qvv7yHqYcK8x7QjQ1qGlvruFv3p0oyvow6lU8YzM+1nE86DiVcilr8WSJz1Quc89i1DDnCYqbkSIiIpuGRCJBrVKULVOtrpKLvtJD8jjKVH8yPj7+b+/+f9Zmsw0Cf/4YjvvYyWVgqasVDA0vsMdaR/zuw1VusUunM/iWo0zYA6hVWcP6aOReR8+tFL/dieRKDBdX1vAFomXf4w1EadCpyv4ut3s36w4yNOrm9txyPpD2L//oOO9dmuf2XCCvk5Er8yrUDRu3L9NiUvOT96fy1y2XaSIGSnceOWe8MKMIsvdSlUJGlVwgcjfrxKhX8dGIi/6Oek4faCawulZUOh6MxLFZ6/AGokWOusMbIp5MMbWwwsiUn6+e6cRm0Ym2IPJIlLPdnN02N1Rzey4AgLm+msBqjLPXFhi0GR7YdgvtVimXYqpTI5EgPlBtMbYWHa+eamfWuYo3EMVUp0KnreL8DSeDNgOTjhWa60UtFJGdR2GwSxAkJZIrvW11XLjhLPvZ23Obn01VbtPWsxRhsMdYNqjUataSTKXRqBSPfWx2bxCrWUOrWcM7Q7Ps7zJQo1ZwsMfAcijO9MIq0ViyqJHLzSk/CoUU31J4y/yJ3LNKLJEs8rNza0+5gGsmA3/6gyuiDywiIrJpZDIZguEYh3pNxBNJPEtZf0khlxEMx8hkxMzch0F41AMUBOJyP4fGx8e/86jH3QxG5gI0GTR4lyKcOmBBQrYxQ39nPaefaaKpQY22Wo66SoZaJSewGmPWtYpaJS86Ti6gtNvIOX2//tjOyJQfg758wM2oV6GQlTctm1XPnCeYP47bH+bG5CLf+3FWTPfrZzr5X//wMK+ebCOZSmMxaDjYY+RQrykfmFsOxlhLlHbCygVKRXYOgiDh0m1PPqNovc1cHffytRe70VTL2b+nAYVMSrdVT7NRy/kbTm5O+fOlLJfHPEgFCTPOFZ4/0Fx0HINeRWA1m2EUS2SDG9/78TXsvtCW/a0iTw+5+T33ILnedodGXLz2wh40qnt2299Zz6FeE1KpwNlrCxVt99T+e7a73m7tniA/eGdctNstRqEQCEUS3HEss6+rAakgMD4XYF9XAx1NtSyH49s9RBGRshQGu9LpDBeGs+tmt1XHhD3A0E0XhrrygWSDrqqiztzjIJfhVQ5TXVYEvBClXIpEAnKZwK0Z/2Md28hcgJ+fn6VWrSCeTHOsv5FkOs3o9BJ2TwiZVGBpZQ1zfbE4eSyRwuEJEVlLbqnff7zPTDiaKPGZhkZcHOo1cWKgEatJW+Qfiz6wiIjIZqJQCNSoFUgFkArZztdSQUAqQI1agULxyGGlXcnjyIx7Irg14+cv3xzlpcNWjHXV/PzDUj2zMwcthNcSNOhU2N0h+js1WM1a3hmaKzpWT6t+V+oyFDp9G+3QNeirqdMqy5YZHu8zcXHETSKV5sRAU74UoNmqYXjSx4vPNJNOZ2hp0NBQq2TOvVqiG9beVMOEvbyDJ+pmbD/rMx9N9dWcGGhiaMRVYjMmvQrfyhq/vTRfdD+OTPl59VQHzsUQDk+I/s562ptqmXOtALCWSPG7L3Xzdx9MIpVIisqZAdyLEdQqOW9/ZKehVinqcYncl9KMXT0SiYAgSErmO6Vcymo4UWK3SrmUw3tNfOm5Dpy+MHZ3sMR2E6mstsalW54Su3UthgFEu91i1tZSRGMJXj7Sypvnin2DGxM+vv35XpLpNDJBdDRFdg6Vgl2xRIoJ+zJqlRydVkmVvHz5qlIh4+KIh6+f2Zw5Zr0ecC5zby2e5Pq4j1dPteNcDOPwhPIZxOeHXRzrMyOXCfzmkoOXD90r3X9Y387uDfEXbwwTS6RoMqgZ6Gzg/SuOkrn71VPtfDLqob+zPt+AJ53OYDFqqK6SbalfaTVq+O43DjDhWCnygdPpDJfHPHzpdAeN9Wr+/pKdldC9zQLRBxYREdksUinQqOW8d9lRsp588bl2UqXNskUegF0TjBue9PHCoRZ+8/Ec3VZ92awq33I03yzgUK+JC8NORqb8+f8Dd3fyJPzN+5O7SqOsnNN3ZdzLS0esLAdjLPhC2Kx6jveZ8p0tuy21DI16GLcHin73V78a43h/I5fHPCUBmD3NtVjvlmj1ttdzc6q4y6pSLiWRzGDQqyp2vBKdkO3BHYhy4aaTVFrC+1fuBSnm3KvZQGx/I0Mjrrwz7luOcuaghZuTi2Xvx1nnChajmumFFTQqRclDslLu5fdesbEaieMLRIsc0FzjD4UszJx7lbPXnfzJtw9hrpDNKbJ7eRC7vTDszNtuLJ6ktamGkanydrsWS9LUoOHKmJd4MlXBdqV8/eU9TC+sFtmtxZT9XO77RbvdGuLxFAd7TJy9tlD2ml4f91KtlPJMR/02jVBEpJT7Nb+asAfyAa5XjliJxdOshGMoZAJSqcDQiAurSbtpwRu7N0R9bVU+ELje75t1r6KtlnP6gIV3P7HnX8+V718YdnJ5zMN3Xh9gdNpfJGvyaXzvodF73xkMx1kNx8ve5zPOVTxLkfwcnRuvxaRlr1X3mM7Kg2M1arAaNXS31HL+houJ+eV80PIX52cw6lS8fNSKyxfJBw5FH1hERGQz8S5Fy86f3qXy0lUi92dXBOPsvhC/ODtNt1WPWiWvqHXmC0TR1yhx+yOsxZN5ByKTydDZXIteq0SpkPGbT7LNHHaTRlmh01e4u3lzchGrWct/+/mefBAt5wjkHIn1jt4ei47lUKzszTw04sF6RsPIXIAPry8AcLDHiLGuGo8/TItJyxvvT3K8v7HsTu9Wd7za7eSyic4Ou5i86yhazVoSqeJuOrFEirV4ErlU4MKwE221nH/xD4/y7hUH3krag8tRzPVqAqsxQtHyzvMdxzI3JxeJJ9L5oElh4w9TnQqVUkZ4Lcl/+NkIvW16jveZ8wFjkd3Jp7HbWMFacGHYSU+rnmgsuaHduvxBdFolDm+oou3eml5i3B4osltBIhHtdpuoqVaUNHXK4Q1EmXUF0VYp6Gyq3J5eRGSrqdT8ymrWUqWQcWXci7muGrVKzmokzOJyVktOKs1meW5W8CYna5JIZdfmVCpNMpUumQuDkQRuf7jotRaTlstj2XLLWCKVL/uPJVKfSh9YECQ4/RHGZu9t6qpVchze8jIAhc8AsUSKDBn+8NW9mHSqbfXzrQYNSoVAPJni1swSgzYjfe11+AJRXL4IVQqBZ/c1cumWR/SBRURENo1MBmYWSjd/IPu6KBn3cOyKYNyH1535INxyKM6gzZDf+dLXKPMNHHLZNFC8KDu8IQ7vNfLW+dkiR2K3NXPIOX2Hek0lWW2XbnkqOkfpdCbf+OH23DJWswaDTlV2N3bcHsDuu1dSkDu+Ui7l8yfaEAQJnz/eyq2ZAK+d6cK7FGFyYSWfebdbrsV2k7ueEolQlE2Uy3DMBRgK8S1H2ddZT32tiuN9JpaCMSbmAjQ1qIknixupAHQ11wIZTHXVFQPoDk+IPS16ro57SabSHOsz53f8lXIprY21JVlJH1xd4MzBFjKZ9K7KbhV5WLtd44unOrg05qGnVc/+PQ288d5kZbu16Lh8y8eeFt2GtusNRFGr5EV2e/GmaLfbhdWgpsuiw+4uzrhWyqV5/a3eNrFLs8jOwmrU8CffPpivQuiy1CKTCvzmYzvP7DHQ116HQafirfMzJT7VyYHGTQveFMqaXBh25juolqPQ31bKpbSYNPlgHGTnytzv4f6+t90b4qNbbupqVLx5PrsRn6ukiMaSdDbr8j8XPgcUPgMALHhD/Pe/s3fbN0AEQcLIdAC3P8KJgaYS/1spl/LNV2y8fMgiNv8RERHZNGQyMDeoy8ZQGhvUyHZFVOnx89SftmlPELs7iKZajs1aR3QtgbZazvODFoJ3y9v6O+tRV8lIZ8gvcIWLsrmhmusTpSVJsLv0GaxGDf/s9w/y9+tqxaG8cySTCSST6ZLW9uvLvwrp76hjaMRT9vh2d5AJe4DvfvMArz/XmT/nu+X87xRy1xOgv7O+fKleQTZRjt7WOr75Ylc+OPvv3rjBy0esOBfDeQH8nE6LXCqgVStwL0UY6KpjKRjHsxQpmvgBLEYNnqXsrrrLH2ags4HhyUUOdBvQqBTMOFcqlKRHGJny76rs1t3Ow9ptT6uezx1p4QvHrMy6g/xf//X6hnZbUy2nXqfi9uwSR/vNuP3hskG7xgY11yd8KOSi3e4UDuxp4MINZ1FnyrV4kgn7Mi0mbb7boliuKrKTWF+F8O5VB68ctfKrC7NA5flOIZNuyhxSTtbEsxShv7O+rLxIdh2PcLDHiNWs5cqYN7/W62uUNDWouTbhK/pMrhMsUOT/uQNRvvfjawzaTEwvrKBWydGoFKiUMgZtRox1KvzL0fzPOd3inLZn4fcYdCrmPMFtD3Cl0xleONTML87FWIsny17LkalF2hvF9UBERGTzSCah1ayhSt5EeC1ZFEMx1VeTTG73CJ9Mnvpg3OJylOP7zKyG40hlAhLkJFIZhm66ygpvA0Vlbkq5lCq5FJ1WWfb4u02fodWkZd5TPsU/F5gcnlni41EP854g7U21SAXKOg+xdQ++SrmU6ioFH93tmroe391MkqERT74kFthV53+7mfeFeP96tiTGXF8568e3bic7V0Kcu1ZDox727zHw5rnS3fovn+6gRq1ApZBRV1vFW+em+eqZLqqVMmacqzQbNFQpZFwd99LVUsuV21mNrd7WOl5/roNn+8382Q8vo1bJUcik9x3fbspu3a3M+0K8f+3h7Ray88yD2K0gQJVSSmBlDXWVDEEi0NSgoc1ck8/alEsFlHKBWCIl2u0Ooq9Vzx9+sY9Lo24adKqyIu//4PM9uAIhGvXiuRfZWeTWV1uLjrcuzt53vptcWNmUzcxyWnYbNf2SSSWE1xJ4AxGqFDJ0WgWNDdX5hz2lQsarJ9uLmhVYTVr+9sNJ5FIpqio5I9OLdDTVoq6Ssa+znj0ttQxP+VHIpISicb7+Ujc//XCSrriOaxM+vvp8V0n2cWF29FY0uHgQRuYCeX/6SJ+Z0emlsu/zBqKMTAdoaRDnJRERkc1BIgGFXMrHo6XZua+/2IVk6xpOP1U81cG4kWk/6QxM2AP0dzRwY3KR5WAMU1112eBQIpnmhYMtNOir+GTEw7P7GqnRKCGT4VCvqaSr527UKNtIMNhm1TMyFygqMY0nUxUfLL13BfxvzS5h1KlQKmT84vw0fe11ZXdPc9mKuykbcScx7wuxsBjJ6wUEVmOVd7pNGtKpDEq5jJ7W4hJiQZAw41yl0VD+PvQsRbk56ae1UcukY4XfOdnB5TEvvkA0L158ddzLN1/pZsa5mg+a54J9Zr2K737jAJdue/GtrG1oS7C7slt3I3ZviGuTi8w4H91upxZWaKzf2G572/QEQjG6rDqmF1YIryXzOk0KucBrZ7pQyqX85P1J0W53INoqGT1temZdwfIZKNNLKBQyMRgnsmNpNWnx3A3AbTTfbeZmcjktu6vjXl57oQu7O8i8J0RHcw16rZKrt31ZjTu5lEtjXr7+0h5+9JuJvN5cKBpnxrnCQFcDpjo1bw/NolXLaGrQcGsmwLzHR2ujNlvqP+zmcJ+JH759u7RD+8l2PrnlQS4VKmYfr5e72MwGF/djvT/tWYqwv9tQUkoP2bXh+h0fXzhmFdcEERGRTUEqhXl3qOzcOe8JIS3/uC9yH57qYFwkmeL7vxzjK8938te/Hs/vElYSb3X5w3zumJUfv3sHlVKGQVfFV0515Be2Ql2O3axRVkkw+HifiXevFJewbuQI9rbW8a2X9vCrj+b46Yf3digr7Z7mshV3WzbiTsDuDXFu2EUimc53st1op7vNXIOtpZZWU6ngfK7k4lcX58p+17wnyJG9Rn79sZ0D3Qb+y917F+7twBzqNXHHvkwqA994uZueFl3RvZgr27H7QtyY8FW0JSj/QCIGOZ4eppwrBMMJmo3qR7bbw70GLgy7y37PvCfIM90GRqf9eAMRPnOslfcuzZfY7pee62DoposDNgODNuNjtVsQbfdROTXYwvuX5zh7zVn29w5vCIc3RCqd4fCehi0enYjI/UmnM/S26rG7N57vNnMzeb2WXc5nzjWhyc1TF2956O3QMzG3jLFOxbdesXHzbqfqSvpo3/qMjQzwg1/dLvndiYFGAqtrJeOJJVK4/BEsJg3xZKpitqBrMZw/Hmxv9csnt4olW2KJFFVyoaJ/3FCrEud+ERGRTSORyDBbJhkHYNa1SiIhzj8Pw//P3ptGt5Wed54/7MRGAgSxkeBOkeIiaqNKpdJSVa4q27FdsWM7XuKx57Q96fS0Z86c6fQ5Gfc50z2dD+3pDzkzSZ900pOx0xMncblTVbHLu1OrVCqWFmqhuIsruGAjARIACYLY5gOEK4C4oCiVJC66v3N8rAJA4vLe//u+z/u8z7JvnXFqtYKhyRCnu53M++96cbdyDjktetRqFSvRDdbjKY4esBYsbKW6gz5plDKymqrLcf+88L5uZQhaKjT87//vZewWHT3tdqE1e++Ah1NdTuQymPFGhGioXFH+Jy0acafJ1dpqrTOxEt2g1m4UnmfuWcU3kgSW17PRRF32os66m1kKrwtFQDfjshm4PrZIZ6OFTEY8xXl9I8lyNE4ikaZv2Me3v9gt+j111rtaHZkJYTWVobmjJSjekOQ3GjlYb5IK5e9x3IEo711foMqkxWbWiurWvxyjo6GSpzvvrdvDLVVMLEREdVtrNxBZ2yCRTHO628msT/z0cMaT/dkP+j30Dfv59he76aovbAxwv7oFSbsPkwqdmmZXxZbRiQPjS6gUMql+nMSupLPJIhyaiq7Tj+EwWcxmzv9/tz9aEME2Mb/CvD/rDNOoFCXro03Mr5BOZQrek8tl9LTbiW2kmPdHhTpG43MrLK2s34ncyB6Y3BpfpKbOIL4PuFPLM3cNO2VvKpVy0Qi49/s9fOXFVsbcIfybsgX+6GvHduBKJSQknhRUKhk1VoPo3OSyGlCpZMTEzzkktmDfOuNUKgW6MiVDU9n6CvldP0o5h6qtem7eDvDZs40cPWAtaag8yY64HGJGVjKZ5lBLFb7gWsG97R3w8PnnmpnxhPGFYrS6TGwkU7zy5m3S6UxRQ4d0OsPF/gU+c7qBf/G5Li7e8jA4FeSlE3VPbDTiTpLrijbtCdPVbBEM+1zh4/WNJAdcJv6nz9dua2zI5TJuji3RfcDCzbHicSiTZdMBV9cTQorz5q49uaKhozNB4okUl4d8RQ6NHPlanfFF+GDAR53dWBTdurnRiHdpleHpEN96uV2qw7JH6R3w4guuUV2lZ2klRk+7vUC3Bq2ap2sq+OSJ2m39vmqLHpfNIKpbhVzGO31zRT+zWbuexVUcFi0T82yp3e3qFgq1m13bknxwy8MffvVoQX1Nie1RazVwqLmKD/o9ohEo8USKhcUoJzptDM2t0OGq2MGrlZAoxO2P8hev3yqY71KpNJ881UCLszjq91FT6vvyO67m8AXXOHbQKhq9lptL5/1RDrhMBe+d6nKKRtG9cKIWXzBbiy6RTLIa2+ATT9eTSmdES890NFbiC67tePZLMpmm1m4schjmbOYWlwmzUcPkQhhnlZI/+toxyTaWkJB45FTo1aI+lHK9egevam+zb51x8XiS8NoGgeUYnzxVj9sbETbwMhmc6MjW6ZkLRLGatOjLlARCMdzeCP/D758kmUzv9J+wJ8gZWbmojOGZUEF3wXQ6g0ohB2T0jy9xpNWKRq3gzauzBb9ncydDjUpBT5sNh1nLF8418bvPNUtO0B0gvytaZC1BjdWIShEQChybyzWMuUM8e7Rm288nnc5w7KAVz2KUk512oUizy25AhkyI/gmF43S3WKi1Gws6npWplWwkkshlkEje0Z83InTv3ep7a60Gvvy8eHRrbmOQ30UxEIrxq0uzNNeU01JdIRm7e4icduOJFAqFHLVKzqVBHwDmco1Qe+07Xz++7d857Q1ToVcV6LbeYcRu0fH6uxPC53zBNXo6bKLaVchhPrAqfPZe2r2XbiGr3UQqzenuauH7auoM3JoMcnXER0+bdIhxvxxpquRbn+3kxmiAOX9UiEC5NOTldHc16UyaV98ap9ZuJLqW4KlWKWVVYnfQO+glFk9ysX8BrUbJmcPVBMPr/M0vhmlvMO+KqFmxjquQtQUr9BpWYwkhem3zmmyr1FFlLhPmw62i6JYjcQxaNZeHvHz5xVZ++JvRbA3oyUXOHa0hFF7HH4phM2vpbqniTJeDZ7udu8LePNlpL3AwQnbT66wy8MEtD5ABZLzU49rxjq8SEhL7n0wGYhsJXj7bxEIgW7LDZTNQbTWwuLxGZuenzT3JvnXGQba2y7E2G7+4OF10Wnay005bQ6Ww4KbS2QiuZw45JUccd+sObScld3NEkdubvccff6qO8OoG1VYDPz4/QTKZpkKvYmBySfT3BJZjHGq2YKnQFp1I7gbDaL+z2SGQ++/8hh0/Pj/B5841C5NwncPIUx32klFppfAsrnLhZjbCTqtW8qnTjfzTpRkm5leEz8QTKeqdFUUdzzQqBV/9eBu350L4gtmul3UO432NW7EacbmNgdgJ+7URPyc77XzsmGvHNzEShYg5sjZrNze3f+p0AwuBVTyLq5w9XM2Zbud9Pc9LQz6i60lSaVAp5DzT7eTKkI8Zb6RAU/FEimqLgTdEtdsqOAXh/rRbqkbcyMyyqG4HJpY4d7SG7/6gj+98/bik3fukp6UKhVzGnD8qRNGI1bG6OuxD8dlOjrdIDjmJnWWzk+tYm43z1+cL9Prutfkdnw+2aga2tBLj+EE7VaYyBiaW6Gm3i67JZ7qdnL+xgLlcU7IGXK5G9JnD1UzesS9y0f3B8DrLkWzpmo1ESrgfO21v5tavrnozX/tEGyMzoYJN74/PT3C8zUZVRRknDtokR5yEhMRjo8Zq5LW3x4HswXbfiJ++kWxzHokHY98645LJNG11JoJ3UoPyiSdSIJPhDUaY9oaF9CGNSsFTHU92PbL8CLdamxGjTg2kebqj9EmqWKpBPJEivLrBqDt45wQve6JXYdRgt+iZEck372qy8KUtIuCe9Fp9j4qBmRCXBn3M+iLUOYx0t1TRP76I2xuh1m7kaJuV8zcWiMWTJJNpXn37NpYKDd/5+gkqDfcflqxUyoXOlgBp4Nb4IiajpuBzGpWiZMezgclFDFr1Qxu3uY2Bd2m15An76nqSKyN+0XEgafPxk6/bWruRpzvtZKDgtXztvn8zG83pshn4H3+nC7tJe1/fJ5fL8AZjBEIx5gJRPnWqDrc3wtyd+kT56UQalYLJEtq9Pbtc8LmHod2uJjPeYEz0+3LFzHsHfUXalXR7b6zlGp7pdjK5sMLS8jqZTEb0Pl8fDTA5v8zJ9p2POpJ4ckmnMzzVYcO7lI2+LbWeic0Hj5tSzcAaqyuYC0SJb6R46anaknZ8Mp3h6U4HgeUYDotuyxqPzio9CoWcc0dreOvqbEF0/+hMiG+93IHjPteEh83mNe3knUPpn1yYoLrKwK2JRT645REaVdzvIaiEhITERyGZzDDtCeeV81kT3pv2hEkmJXvyQdi3zji5XEaLy8TPL06Lvj+9EOazzzbhXVpHrVRQ7zBy4gEifPYTpSLczh2t4U9euc4ffuWo6GZOLNUAsieSR1ttjLmXsZpzqcDrJfPNnz3mEt0YSoXJHx0DMyH+/NV+4VnU2o18743BoqiP3/9cF7fdywUNOx7EEQdZR3mdw0it3cjVYR/mcg1qpaKgMQSw5Wm3PxSDTPa0+0Ei88Q41elgeDpU8jsDoRiVRk2BA8MdiNI7IGnzcbNZt25fBIU864jbjnbv1xEH2U2uozL7c7V2I/3j2XqkYk1qttLurC9KZ5MFXZnyoWn39KFq/vLHA6Lv+UMxWutMTC6sCNrNzqnZ5hCSbrfGVWVgMbTOzy9O0eAsL9mNfc4fJbKm5u2rfaJNOSQkHjWby4U4LHpujS+KfnbUHbpnaYdHTa4Z2Pv9HsbmlnFa9DTXVOC06Pj1pRn0ZSp6DtpKjzlf9vWNZOqO/eAvWePRs7jKRjJFKBwX6hPHEym8S2ucPVy9Kxxxm9e0q8M+/vnnuuhstLC6nsRsLKO1zoy+TEnfiI9yrUqatyUkJB4bcrlMmHc3M+ePIpfLHvMV7Q/2tTPuvWvz1DuLC6DCnY6NIwGmPSv8y89302g37sBV7i62inDrbLQwNrdStPBvlWpgNWu5NOhFr1UxNBXkWJuNRCrJ9MIanzrdgC+4xpw/Snt9Jac67XQ0WggECp/VZgfhjDe8K1Is9guXh+46L7aqu3JjLMA3f+vgQ4ukebrLwbt9c3cid+KijSGqq/SoVHLR8VvvKOf0ISetNeUf+Vpy1NkMfOsz7fzmylzJOWNyIcwrb9+mo9GCd2mV196ZkLS5A+TrFrLaXV1/9No9cdDO+ZsLhFc38AXXhIi4zdptqC4nlUqL3Az3bAAAIABJREFU6qipppxvfqr9oW6CHWYtLbWmkrr1BddwWPRMeyOEY4mCTZ+k23tz5EAV/0zewYg7hLZMVfI+35pYJJ5Icf76PMl0hiONlTtwtRJPImKHqUadiu4D1pJ6/eP/epXmmvIddcbX2Qz83osHhE1cbo7+X790hN5BH4PTQdFGBnA36i2eSPHhLS8vnKhlORIvqPGYq0Gb/9nN9YlP7IKMmM1rGmTXr2ujfq4O+4G7tU7jiRTHD9pKRupLSEhIPAoSiRQuu3gnapfNQGLTHCaxPeQ7fQGPinQ6g0GvxmUzoFEpCt7Ldk7NiukPfkdyxMHWEW6exVWmvWF++v4k3uXiaI9TnQ7Re1ymVhJZS+BdWuNYm42rwz56b3mZ9ob5x3cnuDW+yNNdTr76Qst9p8D25tVckngw1GoFnsW7heS3iubJFZl/WCltXfVm/He0lIssUinkXOxfYGBiiY1kisGpJRyVelFtHXBV8Mb7kw/9FKbWauClHpfod+a6vEbWkvzVTwYYdS9L2twBlEo5a+vJgmf0uLRbZzPwYk8t/uVYQURcrgN0rimEXCYDZKI6qnM8mm6G57qdW+r2Yv8C528uFNSPyiHp9t4cabbwledbeKrDXtKmiKwlgGw04sjUEpMlTpAlJB42YrZSZC2BvVInqtdMBsbnlvn1JTff/UEf7hLRZ4+LdDpTMC/W2Qx89YUWTAYN9Q5xOz4X9QZgMZXx1pVZVHc6sA9MLHGxf0Fo8JD/2UAoRmezhbOHq3dFFKtSKce9qXSLRqXAYdHhXVrDXK4Rovjy/wZfcE2KRJGQkHhsqFQKGhzlovNxg6Mc1abXJbbHvo2MS6czNFWX86sPZ/jySwcYn10pKoD6Yk8tLY4nwxF3r6iQrSLc7JVatBolq+tJ/vIfB4q6ceVSDXoHfUIqmKVCwytv3gZKR1xF1hIsBKJb1ogr5SAcdYekekcPSH7ab41Nj8Oip3fAI0SoiZ143G+DhHuRTmdorzcLBujmyCJ7pZZ6ZwW/6J2mp91+t4uaWUtXcxXe4CqdjZZH8vw3p864rAZksmyX15yW9VpVSeePpM1HR067i8uxgq7Nj1O7DrNW0O5m3bpsBlx2o9B0ZHO0nMtmIL6ReqS6zaWf1tj0Bd2JNSoFcrksm+ItgqTb7XGs2cI3X+7k5niAOV+hTZHDatYyMR9mcSWO1VQmpQFLPFK2spWuDfs5d7SGYHhd6FqulMt4v98jfGa31JDbTDqdoaqijPM3FvjCx1qY8YSZ9UexmbRo8qLe8p1tF27Oc6rLic2sxR+KFUXIAbQ3VPK1lw7smmZt6XRGiP7b3DnWbtGhvDNv58/NVrMWe6VOmq8lJCQeG/F4krlARLSb6nwgQjye3OlL3JPsW2ccwMFaEwuBKJG1BKPuYFEB1Kd3QWj6o+Z+6q0905WtmeUL3j1906gUoh0tN6c11dkM1NkMBTWJVAo58XTqnvWTSm0At3IQttWZJSPkARBL+9WoFEINlc21r+DhFJkXI794cy6yyKhTce6oizcvu+kbDXCm2wkymdDxzKBVMT63THwjyclnHt34zaXOKJVy/vi/XmV8LrvRMZuzWs45f3zB7Kl1KK/AtKTNR0NRGtad7qQ57erLdka7uULg9kodKqWCV9++zakuJ/GNJLP+CA2Ocg71WJj2RLjtDvGZZxoe+vXkyM3Dm3UL2ejBqYUwVrNWVLcH6yXdbpcTrVWo1QpOtKf521+NCE2K4K5jwGREiJQcng7xrc+0S10PJR4JW9lKFlMZ56/PA9k5wLe0xup6QogYy80Du9UZf6rTwQe3PNx2h9CVqelsrESnVeEJrOKyGqhzGGmrN/H3vx4DKLAl/ucvHeE//bcbQsQqZMfnqU77rnDE5dvnL/S4uDrsE+0cm7/OQfZv0JcpOXHQtpOXLyEh8QTisOj5yXuTGHRKupqqGJhcpG/Ez2efbdrpS9uz7GtnXJ3NQE+7nd5bHs4eceEPrWE2ltFWb+bckZpddwr4sNlOvbXNBb1lMuhpt2PUqVhaiaErUzPtWSna4JrLNVwZ8dOwKeUq9+/8KI3JhRVsZvFOV11NW9fUKdVt61Tn/nekPkxyz7l3ULwuSYYMzTUVQIavf6qdkekgbm+2u+rDKjK/GbGIys6mSoamgjir9LTVmTncauW//GM/FXoNAxOL+IJZp+63v9j9WDa2yWSa5ppywamRc8LNBaI0Vlcgk4E/eDdK69qon1Od9qJNzW7c5OwVcmk4pVLWk6k0547U4LDo+OyzTSwEVndUu3V2I7oyJRqVnMWVdaY9K1wa9AI7p1vIarfWZqDeWQFk05wOH6iiTK3gyrCfpzuKdQuSdktxuMFM3/gSn3+uhRtjAXzBu1E410b9HD9oK4jqfffGAp84WY/DVCbdT4mHzmZbKXdAkOs6DtnOd+eO1nDzdoDT3dWCNg+3WmmtrdiVuqyzGfjDrxxlbG6F194ZB7JOxdVYArOxjJd6XNRaDbTWVfL2ldmCRj25n82fp3Ov7zSb7fNX3rrNV19qZWxuWahll39gIpNBs6uCqgotzTUVtLoqdsXfISEh8eSQTKaRkeGz55rwLK0RWUvQ0ViF06JDRmZXHHLsRfa1Mw6ytakqdCqG3cssR+Kc7HTQ1Wh+Ik6oS21ePxzyCe+PuVd4/ngNf/fr0TynXfYk7jNnGinXq3nryixAUfj84so6P/lgmth6gqc7iiPu8qPlpr2RgtM+uVzGmW4nsY0U/+77VzhYb+JjJ+qwburQKbbp3S3G1F4g1+1zeCZEvcOIvkwlurme80VprC7n2qifi/0ePnu2kX/+cscjn1g3R1RCdszm/ttqNaJTyYXn//xxF093PN7nn7/JydUJO3O4uihaVKNS8N9/up0Ltzz89S9GaG8w0dFoYXBySYhMFdO4hDjuQJQLNz3cns2mU1foNaLa9SyuolLKOX8jG/2xG7RrsRjoG/SgUip2hW4hO/c3Vlfwk/PFuv1nn2nn/YGsbnMR1EBBVLWk3WKOt1iYX4pSplEyOh1kYj5MlUnOsbZsxMrVYR+JVJpTXU7Cqxv859f6aXAaaagup9lZ/kTYIRKPh5yt9OGQD2QyIqsbzPoiRGMbnO6upnfAg0ohR6dR8rGeWn5xcbpgHrg5FsBm1u14/TQxcnNta20FvQNZW+Bwi5VTnXZhDHU0WrAa1EVrhNg8vRvI2ef5dvXA5BKLK+sFjtLcQd9CYJX/45snimrrSUhISDwu5HIZ0ViSyOoGa+tJFpdjyGTgXVrFqC+efyW2x753xkG2KPuxDiefXCpdn2y/sVUNEWQy4UTu2aMu+scXRZ12054w054V2uorcfsiPHPIyZWh4vD5Ex12vvuDPiHibvNgTKczRU61Zw45ee2d8W119NutxtRuxh2IMja7XNDt0+0tTnfI4bIb+HDgrvP25vgSv3P28YUcb36uu8mY3qxds1FdsnPn4OQSV4f9xBMpXDaD1LXyPsk57sfmNmlXJFUnh8tuoO9OtznYPdrdbbrtbKxkaWVdVLdXh/3otWpmvGFmvGFi8SSX8qJoJe2WpsZioMZiQKdWoitT4V9e5+qwj65mC/FEitPd1UVpZ5cGfXzqdAMra4ld6fyQ2JvkxqZYOv/nzjXhC8Z49/o8nY2VovPA+evzVOhUu9ZJXGc1UPf81nPq/b6+E+Tb56e6nML88OxRF3UOIz/f5CjVqBR89eNtUtSJhITEjqPXqnjz8mzRHCWlqT44T4QzLsduWowfNaVqiGhUCqJrG0IYvFopY6pEPbdAKIZKmU11MOpUpDMZUQMunckgk8sYm1vZsj5d/ub0h2/dLtnRr9Rm70l6fg+K2x9lbG6Zn74/RWudWfQexzeSBbW1cuks+ezGumc7eT352gX4t9+7LPq5WV8Ue6UOX3BNtGnJbi2UvdPkaufIZHIu9s/vK+3uJt3+u+9fEf2cPxSj1agROmSVcjZL2i1Nm6uCNlcFvcM+5nwRAqFYyeZF8UQKtzfCm5fd/MHnDtFRZ9qhq5bYb5TKiHB7I9yaWNqyhq8/FGNgKrRrnXE5dtP8/iDk7HPv0qowP2hUCuIbSRaXxe3sibllAqFVThyUMkMkJCR2jhlPRHSOmvEUl6KS2B7ynb4AiUfHqU5HUfthe6VO6Nj04lN1TN4p6C2Go0pHKBzn+kiATz3TwJwvKvq5OV+Ujz9Vx2vvjPPrS25mvGF+fcnNd3/Qh9sv/jP36pIqcf8MTS3xJ69cZ9S9vGW3T38oxtkj1dTZjTzVaaen3c71kQDmcg0g1eTbitwmwFGlF33fWaUHMltueCSNFzI0tcR3f9DHu9fmCSyv3VO7zx93UWc3CjW5JO3em1xq08ESUVhWs5aphTDmco2k3Y9IjUVPi6uCWodxy3sZCMXQa1VcuLnAr6/OMTATesxXKrHf2Cojwh+KCTXIHBad6GesZi03bgekMf4YONXpwF6pE+YHc7mGdCbDtKe4CQdky8fcmghuaVdLSEhIPEq0WhWexVXR9zyLq2i1qsd8RfsDyRm3j8mlKX3iZD0NznI+cbKeb32mnfZ6M6e6nJy/PofJqBE6aOajUSkouxOBYjGVcXXYv6UDYiNROpJiM7lTQTF2W1TLXuK9a3OCIyMUjpd0slrNWi4NemmtMzE8FeRi/wIuuwGjTs0nTtZLqWj3IJ3O0FJTLjpmqq16fMGt739Lze4slL1TvHdtjnjibtfle2k3eqcz3sDEkqTd++RUp118rlcrMRmzG3VJux+NOpuBc4eraa4pZzWW2FLLoXAcz+IqSysx/uonAwzOSM5OiQdnK9sqp7ds3VNFyXmgflNTLolHQ53NkO2wbDcC2QY7leWaex70lbKrJSQkJB41sViCWodR9L16h5FYLCH6nsTWPFFpqvuRe9UjEqtb9EyXg59enGYjkcZp0XPh5nxB1zebWUtDdQWvvzsuGGhz/iW6D1QVpIhB1oCrsRm4ORYQ/f5cJMXma5S6pD4ccvdWLpcxOBUUun26fRHBybr5HuvLlGwk0sTiKSJrCTQqBS8edxV1xpUoTavLxMlOO6vr2TFjNWvRlykJrsSE+12mVmLUqdBrVcImSKNSYKsUj0p40sg5HQanggDb0q5RpyaRTAudmSXt3h91NgPf/mI356/P4w8Vdv881mYT7re+TNLuRyG37pbrNSwEogxMLBVpuUytJJ5ICVGJeq2K3kEv/3Rllqc6bLTUVGCrEHfkSUiUopRtpS9TCq+93+/hi8+3MDm/gv+OzWcuL+PykJdPP9O4U5f+xJCz22qtBl7qcQk142LxNDVWvejaV23Vc+OOnV3KrpaQkJB41JSao5xW8YMEiXsjOeP2KG5/lFfPTzI4GRStz7aZ/EW73m6kyqSlq9lC//giXU0WbJVaBsaX6GqxoC9TcnXIz0sn6uhsqmRoKoizSo/JoBF1QMhl2bS9ifmVou8tFekm1iX1YydqpW592yRXYytXn++ZLgedjZXMeMKCI6N3wFPQ/bahuhydRkk0luBrn2jj/PUFPnGyXuhOKxl226fOZuBjx1xcGck2DijXqdGolei0Cp7pdrIQWMVh0SGXW5nxRDjcaqXGqicQivHhgJeP97ie2Pudr92uJjMHXBXMeMJCp1pR7TrL0ZUp2UimqHcY8SxWcKDWJGn3Ach1GO+fWOLG+CLWCjlfeuEA4/PL1NmNNDjLcdkNJNMZ5nxRSbsfgWPNFsrUCr704gGmF8LMeCOCA7R3wJMXlQgLi6uU6zQo5DJ+c2mW/qogjc5y2utMUrSnxLYR7UDfZefSkJ/jB22C7bawmO1+19VsYWx2hdGZEF1NFpDf+5BX4sEoZbfnntft2WVaastF7exA6O5Bn5RBIiEhsRPI5TIymQwnO+2srSeFwxxdmZJMJiOtHQ+I5Izbg7j90YJuWaU63ZUaFNPeCO/0zRV1Qjl3tIa3Ls8C8Ntnm/itp2qB7OYt1+VwYm4ZlUJOlUmLSiFHV6ZicXmderuRqyKe8q0i3TZH7VmtRgIBqQDkvSj1/P+XrxzlrSuzBY6MWV+Egw0maqr0/ObKLOvxJABXhnx85xvHqdvlhZp3M5v1+8vLbt64MIVaJeflM00F3YJzY6yn3c6BWtMTu1iJaffckWrhlC2n3fhGkjl/lPb6Yu1qVApJux+RWquBWquBl59pAOAf3h3n6pAfe6UOe6WO196WtPuw6Kg10VFrQnncxdj8Cu/0zTPri3C01VoQlXiszcY7fYUdym6OBfB02vnYcRcNdin6U2J7iGVE9Ka9DNxp4JCL1DzdXc0PfzNWoLmrw35aayqk+fUhcy+7Pfe8pn0RbrsL7exUGnoHPICUQSIhIbFzJJNpTIYyfEtrKO/MUUpFtuKZyVAmdXx+QCRn3B7kyohPKMSbW9hzdSQaHEZmfBE+GLgbeXL6UDWOvLo1pbptBcPrwr+vDPv49NN1giGXTmfoHfRy/sYCGpWi4Pt7Dtpoq60uPo3t3F7XJ2mDcX+Uen43xvwFz6CzsZIvPNvMrclFXn93suBnso4PH3XPSwb3RyWn386GSt64MIXZqGFifkX0GSVTaU53P7mGtJh23+/38JUXW1laWWfUHcKgVfHxEy4aneW89t44P7kwVfB5SbsPj5x2Txy08+aVOSCD2yfeKWsjkeSZp1w7cJX7g2QyTZPdiOqEixsTi/TfXsJkhGNtNvpG/RxqqhS976vrSd6+No8/uMaR1ipOHLRj1ksR5BL3Jt+2yqWvepfWAITunWKa+82VWepsBtrrzVit4vWBJO6P3kEvAA6LTrCd8ztUu/1Rroz4WFyJc2nQi0alwGIq44DLTDS2gctmoL2+ctt2tYSEhMTDRi6XMTS1xMV+T5EvIJXOcLrTLu3pHwDJGbfHcAeiBFbiqJUKupotQrpLOp1heCbIn71+Cxmg1SiptRvwBmP85Y8HaKk1ca7bSYPDWLLbVuBOty3v0lpRoe78Ll3xREow6AACdyLj0ulM0WmsxMNFLpcxMR8uMOhyjEyHeO5IDV9+vhm5XMaML8J7NxYYng4WaQWkuiMPm1y6yejsMhf7PaKf8SyucmsiSDrFE2dQy+UyxudXirSbTme42O/h33/zBIBwmPD9n49gt+g43V1doFuQtPuwyWl3aDrIhyWKg/uCMVQKheh7EtsnF5XY3mDhg34Pk/MrvNRTx80J8bqrgVCM5poKZMAH/V4mFyI0OstpcVXQXKKQsoTEZjanr3Y1ZcuUiDHni+KyGvjZB9OsbqQ5WFP+mK92fyGXy5DJ5HQ1WwiEYgX22Kg7hDcU409euU6Ds5y19WwEeDyRYiGwykJgFY1KwaFmC199oUVa8yQkJHYMpVLOrC/bzXmzL2DWF0WplLOxkSr14xIlkJxxe4jNYe659KFTXU4u9i9gNWmF9INzR6q5NOgTCm9vJFNcGfLyr796lIP1JrxLq5jLNazGEkKRbpfNgEqpYCW6UVSoO9ela8Zb3Hb9YH1h/QrJWHh0THsj1FgNxOIJjhyoIhZPc+HmfDbN16zl4i0PXzjXxLQ3sqVWQKo78ijIpZssLK4KTQbysZq1vHFhil99OMN3vt5TELG638lpdz2eLNJurT1b900slWezbkHS7qOgzmbg+m0/Dc7yktr9k1eu8YdfOfZE6fZR0eIw0uIwolTKmfGFWQrHcHuL77vLbuCXvdNE1hLI5TJq7UbG55a5eTvAU50OWmqMuCxPlmNf4sHIT4d0+yN4lsTXKZtZyy97p+lusfKnr1yXulR/RLKlYWZF7TGjTsXobIjT3U6C4TgmowaHRV9wABVPpLBUaKU1T0JCYkfZ2EhR7zTi9kUw6lQ0OMuZ9oSJrCVoqC6XHHEPiHynL0Bia3IdB2cDUd7Mq/OWI55Isb6RxKhTCd3ZNCoFG4k0FlMZzx510dVsQa1U0FpnZmxuhc4mC90tFo4csArvdbVYqLYast20Tjfy4YBX+O4cpzodaFSFkRFS/YrHh9sf5e3r8yRS2dOIYGSDygoNX3i+Ba1GSZlayeBUELlcxoV+T0mtaFQK6bk9QuRyGSajmjq7sWC8aFQKtBolT3c5Odnp4Hs/G+JH74zj9kd38GofDzntJlNpUe0adOpt6RakOedRke3IvIzdohXVbmN1BQdcZl59d4LXzk88Ebp9HCSTaWosBo4dtImur45KHZG1BACnupzcuB2gsboCc7mGd/vm+OWHbi6P+fEtx3bi8iX2IOl0BleVgWeP1hRpzqhT0dFk4VibnY1ENkrrw6FstOxmm1Bie5Ra1zYSSVprTYTXEgQjG3iX1kilMygUMp455BQ+K615EhISuwGlUs6BOhNfeuEAXc0WVqIbdDVb+NILB2iprUCplNxKD4IUGbdLye842OyqQK2UM+eLFuVoQzaN5dxRF7/snUarUfLSU3X4gmso5XKisQ3K1ErmAlHcvgj6MiWvvj1OT7u9qInDwPgSPe12phZWaG8ojjwR7dIl1a94bIzNLXNpwFt0unqy087LZ5t49e3b/NbT9SyG40x7iiMYIauV3z7bRGeDWXpuj4hpb4RgOA7AsYM2KvRqllZiaNRKnBY9kwsrBEIxHBYdsXiS//h31/ijrx3b18/jXtpdi21srdvlGIeaLVgqtNKc84hIpzOcOexkaDoEFGq3oboCX3CNRCrN4nIMpULGuzcWeO5ItfQsHhLHmi18+4vd9I34mVoI46zSc6DWxPs3shGhGpWC9Y0kv3WqgZ9emCwYS9dGAnzh+RZ+s7TKs0eqpTpfEtuiq97Md75xnLeuzjHri3L0oBVfcI13++ZwVOlpqzfjWVwDmYwfvTPByEyooAuoxL3xhmLcnl0Wtd2tZh03bgeELBa4uza+fLaRZlcFLTUmac2TkJDYFcjlMtKpDD85v8kGUQX46sdbpQObB2RXOePa2toqgL8FygE18K9GR0d7d/aqHi1idY9KpWp9+aUDDE4Gi2pO1DuMvH11llNdTmyVWn5xcVo0HP7qsI/VO/Uo1ksU7l3fSLIcifOFZ5tFr1esS5fEo0culzG5EC5Z4HveH+VTp+qJxVP82T/cpMamF1IdVAq5YAR2NFYKXXIlHj6lUslP3jnVfmPTJjprdDfx4ZBv3xrb99JuIBRDo5IV6TadzggbmENNFn73uWZpznmEuP3Ros6KGpWCU4ecJFNpUWdqU3X5vtXtTtBVb6ar3oxSKWdhaZW3++awmrVMe8NCWYmFQFR0LE17wtyaWOSDfg8vPVWLSqXgSLOFWqkrpsQW1FkNKBTZaIfNtuPNsQBf/UQbP/z1aMkuoBLi5GzkDwYWON5uw+2NFNjufaN+1uPZNVBsPM/5ovzL3zkkNWuRkJDYNSSTaW7PLgtZePkHDLdnl3nucPVOX+KeZFc544B/Bbw1Ojr6f7e1tbUBPwSO7fA1PVRyC3R+5Nvmk8ZS3TKHJoNCTbjcZuhMt5OedjsyGVwfC9BaZy7pZLNX6oQmDYGQeEpLIBTjRLvtnjWBpE3x42dhcVX09UAoRpVZi3d6ldX1BKFwHLcvglaj5PPPtTB1JxKrq9lCR2PlY77qJ4vevBPuHPFEilg8iUqlEN9EL6zgqNLvawf3VtrNZCCRTOELrgnz2jOHnGQy2UODQChGbCPFtDcibf4eEXK5rOS6E4snSQTTou/1jy9S7zBQWyU9l4dJMpnGVqHlmS4nbn+U/vFFQuE4p7udXBnyi/7MnD9KU3U5Bp2GpfA68/5V3N4Ipw856WmzkkymH/NfIbEXkMtlzPojmAyaojEOMDYTEh37uS6g+3ndehAKbXszFlMZP784hVajFGwzjUrBJ07WMb+4WtIWX1haxWLUSPdWQkJi16BWK5j3r3K6u1qwz3MHDPP+KGq1gvU7QT8S22e3OeP+LyB+599KYH0Hr+Whkr9An+528No7E6InjVt1O/XndTuFrEGkViroqjdz8/Yieq1qSycbZLCadQxMLNHVbClZuLe72fJw/miJh0Y6neGAyyRa4Ntq1lKu16BWyEkspoWJUSajKJ1pYGJJOtF+BLj9UQangwxPB0Xf94ViVFWIO7j9oRgOi37fGt330q6+TMV8IF4Q7euw6PjphakC7V68uSBp9yGTW5cWV9ZLrh2epdUttTswGZKccY+IXCR6nd3A+ZsLpFJpamx60bXbZTOgVinoveUpmvPHT9SyEt3gZKedrnrz4/4zJHYx6XSGY61WLol0UTaXa5grURtyZCbELy+7uTzkl1JX71Aqq+VTpxvoG/YXrHGr8SSOyuy8KjaeW2tN+9YmkJCQ2Jskk2l6OmxF9nkutV469HswdqzSXltb27fa2toG8v8HHBgdHY21tbU5yKarfmenru9hke1alV2gf33JjXdplVH3csmTxnQ6Q7OrQvR3uewGQuF4wWvj8ysolXLG51YIheNYS0S0Wc1afMEY+rKs/7VMrRQtFn3uaI2U1rJLOdvtFH1m+jIlqVSKDwe9uH0R+kb89I8HSGcyJXUm8fDIje83LkyVHH8dDZU4LTrR96xmLSMzIeRy2b6tt7CldtMZJuZX6Bvxc3XYx9nDNcz6xFPxJO0+PPLXpYGJpZLaba+vxGYuE33PatZy43ZgX2t3N1BnNfDfvdjK5840caxVvNFDrd1IZG1DdNwsrsS4Ouzjz1/tZ2AmWxNQLpdJxZYlAOhqrMRRpS96PRSOU2Mrfh3AairjjQtTzHjD/PqSm+/+oO+Jb+pSKrrY7Y3gC64Ja9ypLie3Z5c50W5HXyZui5/Ja+AgISEhsVsILMdE57mA1ETqgdmxyLjR0dHvAd/b/HpbW9sh4BXgX4+Ojr53r99jNutQKhX3+hjAYy1qPDS1xHvX5hibXcZZqROEu1WK6Kg7hNVqxFapRbMppU2jUmCvLN7MdzRWYjbrOVBbwYw3LDjZNv+s1azjhRM6nj3m4tNnmjh/fY429uNgAAAgAElEQVTne2pZXdvA7Y/S2VjJs8dcdDTubFTck1J4+n50m8NqNfLHf3CKNy+7GXWHcFr0uGwGIMM/vjdZ8Fm9VsWcT9wwzulsr7Dbr/Xv3x4Xxlup8dd9wIonEBV9r0ytpLK6jNcvTHJzfGnXjMVSPCzt1toNeJfW6B3wCJ+LJ1KolDKmFsTTWveSdnf7db6aV4A3nkiV1O7hViuexS20W743tLtbbYX75ZPPGFAo5fSN+Jn1RnDZDFRbDVzsX0AuE3eIehfXhKj6y0M+1uIJ+seXmPNFaayp4NmjNZzocDzmv+Te7Obn8Dh5kDn3frBajawl0twcCxRtsmqsRjSqQNHY16iVBa/FEyne6pvj5XNNtDfszPjfab2MuMWzWgJ5WS25sjG1NiPHO5xotWpqHUbGZ1fwLK3SVmfmxafqduUcer88at1ul53WxXbY7de426/vYXIv3T5J90KMqQXxRmtTC2HMZvHDmyeJB9GHLJPZPWHQbW1tHcDrwJdHR0dvbudnAoHItv4Aq9VIIFAcCv4gbFXvDWBgJsSfv9pPPJHCYdGhViqEMHSNSkFXs4W+keK6L584Wc9zR6v5Lz8epMZmEPKxrWatkI+9nkgKaaoalYLvfP04AG9fm+PSoI9EKs2pLqfws621Js50O2lwGItC3nO1PnZLzY+H+Yw+Klar8ZGGeWxXt2LkR6D86rKbD255i9Iccpvoy4Peop8/c7ial3pcQgTkvfS8k+wmTYjhDcX4yx8PCPdfLpcVjL+Oxko6Giv5i9dvEU+k+PxzLUwvrODPG9fXRv2caLdx/k7XRLg7tu/3OTxq3cKDazd/vpHLZfz7v77CxPxK0eeaayporC7nzSuzRe/la1fS7YMjl8v4t9+/XJA6nNNuMpXGF1zjYL35sWl3N+l2tz+7fIKrGwxMLDE8E2JxOYbdouODfk/R544ftAn1ZuvsRqpM2YjG/Lmqrd7EC8drsVWIR0E+bvbKc9hN2v2oXJ9YoveWp2CM37gd4Hc/doBbE4vZLuBVOiqNZfzmsrvIbqyzZzch3/x0+2Ofix+HXsTWHMhGxE3Mh7FX6rjYv1D0c/njD7L36ZNP1/N0u034TM6ue1y2+H7S7VbshXlkt1/jbru+ndyf7bZ78bhRKuX8Pz8d4v2bxfPc2cPV/P7LHU90qupW+thKt7utZtx3gTLgT7P9G1gZHR397M5eUiFiNSHyO0vNBqKcvz4vvB8Kxwvqs20VgXCq0877/QtYTGVc7F8QOpXkFvFzR2sgA2qlApfNQE97tt35j94Z5/1+j2BYz/oiVFfpCxZ7sQU+99pucMRJ3BsxQ7C93sztuZUiZ1w8kaKpurzopFujUpDJwH/4mz7BkbuVniW25uKtBaxmrXD/0+mMMHY//lQdM74I0ViCWDxb0PT1d8c5e7iGVqOGqYUwVrOCz5xu5LV3xwt+b36B7L1OKadZvbNc1BlX7zRy5pCTCzcWSmr321/sFg48QNLt/ZJOZ6i1GQuccTntPnfMxZluB32ji0+8dnc7lXo157qdPHekGk9wjdvzK/QN+0UjGHOvuewGbo0vCh3Wcwd4wXCc//z6LeqdRg4fsHJMqh37xHF7NoReqxbGuMkIRw5YGZxcZMwdQq9VMTwVpLXOLGo3Ws1aBiaW9uX4L2X7n+y0C4cR9kpdyQji/NfqneVUGAq7pEp2uISExG4nmUzjsIjPcw6L7ol2xH0UdpUzbrc53sQoVRMiZ3wMTAXxb0pDdVj0GHUqImuJ7O8Y8HCm20kqnWHOv8rBejOnOu00VZfz178YwWUzCELPj4Ijk+HSoA9zuYa+ET99I36+843jjMwsFzgBzOUaro8F8AbXeKbTLi3y+4CtnMDPHq0pOHWFrF7a60wc/MZx3ro6x4w3Ipx09w54SKczXBnxk0yJd0ncj8b0wyA/ilSplDMwGSoYr/msJ1L4Q2ssR+7WeUynM7x3fQ6NSkFnk4WNRJJLg17RMTrqDu2aqNUHZSvdnjvs5OLNYofbs4erqbcb+c7Xj/Nm3xzuTdpVKeRcHhLvWivptjSbtWvUqUtsHBW8eXUOgNVYQnjvSdPuXiKdzmA3abGbtFRVlHFp0MeUJ4zNpEVzZ9xA9vk2OMrpG/azvpEknkhxuruaq8N3x5PbF+HyoI/f/1wXx5otqNUKksm09Cz3OXK5jOHpZaHpQK55Qy6aUq9VCfZoqQPlnNMpN/6BXZV98VEoZfuvricx6lTotSqujfrpabcjk2W7G7e4KthIpHg/L1pVo1KQTmf4s/92Uzo8kpCQ2FOo1QrMBg0nO+3E4kl8wRj2Si1ajRKTQYNarWBjo7grt8TW7Cpn3G7HG4oxPB0SfW/UHUKplHN9bBGrWctcICpEqt0aX+RQSxXVVXquDvmxmMpIpaFvNMDLpxs51GTm4i0vf/ubMVw2A70DnoL0EZtZS0N1Oa+/O0E6nREMIoDeAR9dTWZmvNkc7nwHXluJ00uJvUcpQ/DNvjn8wTV+94UWfKEYt93LQnrZBwPZaKQam4FDLVW8dXWW9fjdltO+4BqBZfGGxdJmupD86K5mVwWOSi1XhwOi49Vq1lLnMPKr3hnS6Yxo5+J4IoVMBmPuZVrrzKLd1PbD+L2Xbr/wfDOB5XVuzxbq9vs/H+FgvRmTQcNkeqXA2Ww2a0Q7s4KkWzFKaddWqaWn3V5UDmFpJSY0CnqStbtXOegycfZoLaHQKv1TQT4c8OKyGqhzGOlorKR/YlGoXatRKQSnXD6JVBrv0irfHwvg9kaosRk4WG+m/k53V4n9Rzqd4WC9iRlvuMCOhLsRbzl6Bzz8zrPNeBZXmfNHCw5LAFpqKnj1vXGSKRmRtQ1m/RHa6827qpTA/SCXyxiZKa4HJ5fLsJq0KOQyvEtrdDRWAuAPxnj+eA0Xb3p5qtPGMxmKDpXS6Yx0eCQh8M3/8+37/pnv/28fewRXIiFRmnQ6w+D0Eq21lUwurFBlAm2ZiqbqCganlzjbLTWeeRAkZ9w2cfuj/Mkr10tuPlpqKkgm0xxtrWJpZZ0z3U4uDRaeNue6leansV4e8nFp8G7NL3ulDpVCXhDlForE8d/ptLqZUXeIf/7bnbx5ZU407VVi71PKEISsgbeRTPG3vxrFqFPxna/3sJFIFUUjaVQKetrtBfVM7JU6LBVlgiM3H2kzfRex6K7c/QQKxqu9UstyJE6FXk2FQU0oHN8yiiCyltgybX0vsx3d/v1vxral24XA3YYOoXCcnna75ATaBltpN5OBq8PZ7rT2Si2BUIxQZJ2nu7LG1FYlFfa7dvcDyWSajloTHbUmlEo5yWSa2UCUYNjA4MQSNXUGNpIp0YZSp7qc/PTCVIH9cm3Ez2fPNSGTQf2d2mDSWNtfnOp08O61+aLxrC8rTLNUKeSEVzdQ3Slynn9YYtSp0JUpWVlN8OGA566GvJE9W0og31GZz6kuJ+/0zRXZ+Z8+3cDf/3qMeCJFeC2OvkzFRjJVlMEgHR5JSEjsJeRyGeU6DT/8zWjBXHZpwMvzx10FNc0lts8T5Yz7KIte76C35OZDq1HSUFPBj94ZZ3gmRL3DiFwmE40ICYYLI5Hq7AYuD/nufs+dKBu5DGZ8EawmLQatmmhso+Tm02HW8p2vH6d30MeoO0RbXTbtda8ZPBLilDIEofDEOrKW4OItT8nU0/WNpKBdjUrBiYPZeoJixvde2kw/amO2VHTX+kaSoakgPe125HLQa9XZKABfhNhGkiMHrCytxJDJ4ERH9n7O+aO4bAYyGYQogtyYz6W27Jfx+7B0G8/TbY6TnfaC1DrYe7qFndfuiQ47ToueGV8E7+IqR1qtKORyulssqFVKLg15OdnhELT5pGh3v5Gr41JrNRBeS3C01YrFpGXMHaKmzlBgW5SKlstFSy0uxxifW8FRpae1toKOhkqqK3WSQ2EfUGczFNiSrjvjOJ3JNiHIRdA2VVfws4tZZ+0zh5y47AYW/Kscb7fhD61x4/YitXYjJzvtvN/vEbTxMEoJ7JTzarOjUqNSEC81ToJ3owpD4Tg1VoNofVTp8EhCQmIvsbGRIrK2ITrvRWIbUorqA/JEOOPc/iivnp9kcDJYsuve5gU+v/MfIER45KekLUfidDRUYjFp+cEvhgVxbiRSqEu0RQ6EYtgrdcIJmrVSR0+7XQhbz9V+O1Br4l98rovv/s1VImsJTndXbxmBUHcnfUQ6ZduflDqx3lwYeKvU08ByjKNtVmptRroazUI31SJHbpedOuvOaWm73/swu2mW+s6torsCoRgVBjW9Ax5+7+Nt/MNbtwuiAHIRSFeGfJzstPPCcRfHOpxcuD7HK/80hkohJ55OkU5nuDrs49984zj19uKux3uZh6PbdT7/XDO3Z5exV+o4cdBWtGnMOYFyXaN3Qrv38527QbtmowaHRc8bFyaLIjt62rPOzpMdDkGb5eVljE4H+btfjxY0/9mv2t2vdNabMWpV9I35eempOhRyeWEa+J0UVjGmPWE2klmnnNsX4eZYgOePu1hdT9DRUElrrQmLUYNcLpMKOe9R8m3JGV+E//A3fcIBnrlcw5g7xKlDTtLpDCqFHK1GyYcDHp7ucvKz96eK5pLPP9fC6++OC3ODWDTYdubO7c6ZD2vu39zdNLfmXBnx4wuucaDWxMVbxZ2LAeZ8UczlGrxLa/ds2iYhISGxVygrUzLrj4q+N+eLUlamZH09Kfq+RGn2vTNuYCa0Zde9zQt8Z5OF4eklMhl5Qa2Lc0ecvNWXYml5XWjAoNUoGZoOYq/UFSyymzuo5uOs0qNUyDnenj1l/PF7E6gUck51OQtSCJuqK3CYtPzhV47SO+jj9uwyX3i+BX9wjfH5FdrqzHzsRC1WqSPTE4HYiXUmA9dG/TgsOkLhOPFEasvU01aXCY1aweUhH+HVOM90Oai3GwXj2xuKcfHWAt//+TC1NiNGnRpI83TH46nzImZsW63Gkp99GF1g72Xgbye66+zhGkamgyUjkCDbAbnWauDCjXne6psF4NhBKxV6DUsrMc4eqaHWath34/dh6PaAq4LwapzA8jqWijLh9QaHsWDT+MGAl+//4vFr9350m/v8btBuhV7N9MLKlrqVyeDffOM4K2sJ3rg4TSAU41BLFfZKHddHArS4KjjT7dyX2t3PbD68q7HpuTLsZ9YboaG6HJkMUftlc+2weCJFYDnGwMQSlwd9PH/cxcrqBq21JhQKaKw2UWPWPs4/TeIhkU5nqLUa+OM/OMXbV2aFQ4/Opkr+6o1BXj7bhC+4Snh1g41EmmB4XXQumV5Y4ezhGt67nm0Kkx8Ntl0H23bmzKGpJd6+4v7IBxxuf5SxuWXG58N4F1dpqTXx7GEn9XYjMhkkU2kCy+vYK+O0uEyi9UttZi23NtXY+8qLrSytrEvZKxISEnuW9fUktTaDEHBgLtcIdrzLZpAccQ/IvnbGzQainL8xL2og9A76kMkQXeA/e66JX/ZOo9eqWIluUGszsrgSQimX09VsobG6gp9fnCIWT+Kw6Jjb5CXe6iRMmVdf6kRHttNpPF2cQrhVxFvu31arkUBAvJC5xP5j84n1W31zdDRWEgjF6Gq2oC9Tbpl6upFM8ebVWeRyGS6bIbu5Xo7RXm+ms8nCX7x+i3Q6g7lcI9SS6mm3890f9D3yOi+ljO0//oNTRQ7n2UCUN/vmSo7r7V7ndp0iW0V3AaiVMqZKRJLkImFD0Ti+5Rh/+sr1osiBk512BieDdNWbt3Xde42HpVuAWX+EWDyJUqlgYm5FOED53k8H0WqUhMLxgqjER63d+9Et7B7tGrRq5HJZUefvHIFQDJfNQCyeRK1S8Oev9hXp9tzRGtRKubSh3MPkbIruhkq6GyqFTmjXJpb48JZXdM7brN1AKCZEAQWWYwxNBVEpZGSAN6/M0egs5/RhJ63VFQXfKbE36Gi0YDWoBbvzR++M091cxU8vTGIu16BWKraMpvSHYrQaNWhU2WyRnG17P4cSWzUCeqnHRSYjbss/yAHH29fmuDSYtX8sFWUkkynBVrKasg0YZv0RZrxhzh0Rz1ipdRiFLsa5CMJWVwV1x2oku11CQmLPolTKKderOXekmtX1ZIEdr9eqhPq0EvfHvnbGDUwF8QfFDYSRmRDlepVoF7FMBtrqzfiDMT55qp5fXJwu2IgMTCwJxfBLRcH1Dnj4/HPNeBbXmPVFsJm1wuIMWUMinckIC3lgOcahZguWCq3oiVm+ASsZs0826XSGTAbRBiEfO+YqikZqcVVgNpbx2rvjQLbocH69rVxh5ZfPNjG1sCJMrmVqJcgyyOQyegd9QgrgdtgqdU7s9VLG9nvX5vjiuSbhNbc/yvd/Plzye++nIHKp78w5RXJpKkX3s6YCW6WODwe8/PbZJq6N+bGataKRJC67gWqrnquDfn7WO1OQkp77vtX1JJ6ltX2fYv5RdQtZ7eb/fG7T9anTDfQN+wXd9g54yJDV7odD91ej6H60u13dwuPVbs4gKqXd27PLBMPrJXXrrNKjVsnRl6n4+Yfiug2G1wmvbux73T5J5Oq9HGu28Puf6+L6qJ9ZXxSX3YDLauDVd8aLfiY/Wi4QinHmcHVBkyq3N8KHA15ePtvI5SEfB2pNnO120uQsl4z2PUQu/X9iPkyFQU08kRLs38GpIMfarCWjKacWwvz22SY6G8zCXHyvOSzHvRoBfe9nw5w57LznWr75MFuMq6N+UpmM0GXaatIWNmi4c9CTy2R5vz8b8eYPrTHmXha6pf7k/CQqhZyPn6wnk85IUXB7GKnLqYTEXeRyGboyFW9fLW5c85kzjVIDhwdk3zrj5HIZA5NBamx68U2yTU8snipamE91OYUaOhqVArc3cs9i+GJRcCqFHM/iGv3jAb76Uhv/X15NuRxzvqhQP669vpKvvtAibWoktsW9DNn81NPv/WyIseQy6XRmy+Lc0wsrQu2g3OT6/HEXL/TUcmtikf/0+i2qKsq2TP8olXayVTrKVsb20FQQ+XPNwrjoHfTiC66VTAPfbkHkrb5zZCbEh8M+bowvCWkq57qdfPn55oL54uM9LtLpDOHVONFYcZMBjUqBDBk/PT+Vdd7fXCgw5HMEQjFOdjqeiLH/oLqFrQvLu70RfME1QbenupzM+iJZ7Y4v8kudis6Gyi03RPer3fvRbe5vf/TaDfLaBTm3xu8WUO+qNxdtSD/e4+KHb90uqVulQs6FGwsF9eOeZN0+iRxrtnCs2YJarSCZTDPtjQh1LnNsjparrtITKpGuOLUQxre0htsb4f0bC3z6TCNymYx6u4HOfRoVvN9IpzMcba0SIsdy9u9T7TYcFr3oXNJYXUF0bYPfeqpWeH3cG2F4OiT6HZsPJbZTKmJiPlz03XK5DJlcxo/emWDMvcypQ3a8wZgQUZ1vg7j9UQang+i1KpKpDO/0ZVNqu5ot97T/L/Z7ONVlZ2BTt9R4OgWZDF9+vvm+77PE3uZBHHgSEnsBpVLB4kpMdF5cXImhVCqkJg4PwL51xqXTGbqaKomsiW82QMY/XXZzptvJ+RsLwuv5m72tQu/zUzNyTR0ymQxz/ihWs5Y6h5Ff9c4QiycZmFoS/R3OKj2exaiQliptaiS2w1ab8c2G7Hs35pnzRwUHwL3SSXKahuzkGl7bQI6Maoue62MB4olUUfpH7vtKpZ18+4vdW9ZtFDO2c7UIulssBSfaIzPLW6aBWyo0uP3Re55Cb2Xgu2x6fvhPY0TWEkD21OfizYWilJfcdZ3qdPAf/+4aJzvtJFN354CyvDSVfON9fVN3UJtZS1fj/t+MfhTdwvbn49w9rq7Ss7Qco7pKzxsXpnjjwpSobqF0ytS9tCumIY1KwdNdhU6q7Wi3s6lyW/dxy82pScubl92CQ/3qsI9vf7GbrvpCR186nRF029NuJ55I4g/GCnQLhfXjnlTdPunkDOtclOX7/R7G5paxmQqj/TUqBRaTllvji6K/Z/MYnfGEGXOHONpqJbKWoKZKR709W2tRsoV2L12NlUwuhIV5uW/Uz1MddqYWVoSIslzX1TK1Erd3hU+fahB+fmAmxF/9ZIDWOvO2DyVKpdtrNUphE9haZ2LMvSx85lSXk3euzhJPpDjdXc1r70wUz+PfOI6MbIqrWiXn5TONhFeznQIdFt221ps6u4Gb40uC3ZTPyMz2o50lJCQkdjvpdJqp+WLbE2BqPkw6LUW7Pwj71hkHcKipkilvhM+caSQQihGNJVAr5SgUcmGTnExleKGnluGZIEq5vGDx3aoRQ36B1lxHuae7nGzcOR3LdVqMxZPM+e9GwOXQqBS4bAaqKsr45qdtUgi7xLbZajOeb8iKOQC20vTm4twAc/4otTYDjTUVXB8LANkN+odD2ZPxXMRQV5OZ9Y206GnJ5Tuf3fx6fjpKzthOpNJCt+JAKMbaelJwruX/3TkHuEIhI7p2d1y/8uZtVAr5tmrFlDLwbZU6wRFX6nrzqbMZ+KOvHWNwOsS1Ub8wB+T/3oK6Snn/ztXeynW23c98FN3mp0RtR7uBUIwjB6oYnAryVKdDcCRv1u3BehPPdDlKRuzdS7v5GpLLZYJ2e295CIXXheiLzdr93Y8dILgSY3IhjMmooUyt5C9ev8Uffe3YttaCUtrVbKrplfsbxOoR5nTbO+gjlUpTZdIW6TZ3L3OO0CdRtxJ3qbMZ+L0XDyCXyxh2L3PxlgeXzSA45t66OktnY+W2x6heq2J1PcnKapyRmSDTngguu5EjByx0JNPolHLJmbHLqLUaePZojTBXmAxqomsJFpdjQmSyuVwjvF/vLC/otHx5yEdkLXHfhxInO+2sridZjsRprC4nnc6QSKU53V0NwKwvIpQpuDbqJ37nYH2riOpffuimTK2kp92OP7gqHKbB1vZ/TssalQK9To3DomN4Olj0ue1GO0tISEjsBWQyGY4q8YxDZ5UemUxKU30Q9rUzLp2BV/7pNmcOV2dPz5azp3UKhRzIbvrK9WqCkThKuZx6pxGlQs5GMiV0ByllMDTcKUbszzsBvHBzXlh48w3PVpeJdCaD1awVTgz1ZUoONVVSJ21mJB6AUpvxXHFkQNR5lauDIqZpseLc9XYjCoWcizcXCupxIZMVRBLFE0nUSoXotbp9ESymMhYCqwXft7QSEzZauaiLsbkVXntnvKAWwYUbd6PS8p12Cjkkk+micb3dYvi573yzbw63N4KjSkd1lYHrI4GCz+U2F5MLK/8/e3ce3Gh+33f+g5sAAZAgm+DNJnum++lrJpJmRjMjjcaSVpYTl8d2LG9saVe72RzeuJzaVKzdxPontZuqrHJWKpU4tet4teWSy47XdiXKOHGsWM5YGnk00sxo1NPX093TzfsmwQMEiXv/ePCAD0AABHua4NHvV1VXk8Bz/I7v7/f88OOD51f3g6H99cqNrYz+6M2JPe87+4ORvogWVlP60PkevXD58XqWzAeJ26XEts4NdOyZMKoVu2f7IsoVCurtDlXErsvt2nMH3K3xhFRn/LBf7DqfyeZyu8p3YljH3qy4i+7FK3361ruzeu5SXJMLG5pZ3FJfd0htfo9ev2b9cajZ59tVx+5gPKyOdr++8b3JinTGogHNLW/Vfaiuc3GNr33jzp72L+3G7kcv92r+MY1bVCoUijKGOmQMdWg1mdGd6YRu3F9VvDOosYFoU23Ujiu/16OlxLaml5L62FP9KhSL+oPXx/XW7SWN9IbVFvCokC/oqXNn1N8VYnLjGLh6NqYvf/EZfffmgt6fWVck5C+vwJvO5ivuErvomJDyet3l1UffNhf1mY+OaGVtW7PLW+o/067erpBuPti7mNEbN+b1+rU5vfR0vzxuV/n5bFfOdel3v3lP22nr7l17MvDznzX07R/OlPpXb9073OaWt5TLF/TkUIfi3e16+/Zi+dE2jcb/PZ3B3efqFou6Otal/1BjO+d1DQBOOpfLpeF4WD+8s7e/G4qHmYx7SKd6Mu6N6wt65mK88mHCjmcKSSo/nNXtdmm4N6JMIS+/11O+0L55c14fu9onv9ejezPr5aXd7ZUnP/PREX3rB9MVd9I4B54Bn0cvPW2d6/u3F+WS1NsV0nMX40zE4aFVP5jdGInp088N71nB0Tn5Ya/i29/drr/5s0/r+v3V8oPyB3ra9bvfrHw4d8DnkcslvfaO9fwUu+289HS/kqlMRUfc8C7SzqDag37NLm1V3D20mNjWb3/zbvnuoZF4uKlnitWbtHM+j+3WxKrmEwPqiwUbluNoX0TzKyllcnnderAqt1zq7mzT+PxGRVqXEtuKx0Ian99sOAnx4pVevfbOdN0PogGfR595ZuhAi2GcJh8kbnu7Qro6FtOVUWv/2xMJjfRF5FJRr1+bK+8b8Hk0NhjV7/yXu3vi4yc/cW5PfC2spvTspd7yh0Sng8Tu7zi+BmWrjt1f/JmnKr72Wh23Nx+sNvV8O6kydu9MrupC6UNvddz2dod0f3aj4fEKhaI+8XS/Xv/hbM3YlaSf+MQ59UYDj2Xcor6usF8vXOzVxy73aWUzrQfzG/qLP/KE5la39GBmQ0O9YXndrj1t1O4Th+JhvX17US9e7df3b1Yu7vLePa9eeWlM8ytbev2H8xrtj2i0P6Knn+hRV43VitE6zon88flN/ck70zUnrpwTUrlcQSN9EQ33RrSTyem9e8vqiQVlnI0pk83rv749pe6O4J4FF25NJPYs3lO9mJotmy8ok82rv7tdk/ObevZyXA9mNure4dbe5q04rvPZd/Yfg9KZXHk11VCbV9fuLWtlfUeS9OUvPqPhnr3XNRZtwGFjcQm0WiaTU3e0TT/18jlNLyY1vZjUUDysoXhYneGAMqXHmuBgTu1knLXq07riXcGaH5DSmZy8HnfF8yUqVpgsfUj66ZfPKRry66WrfRUDBPvrPbcerOqVl85pcTWlezPr1l/YYtZKi0X6ZGQAACAASURBVD/2/NmKC3L1Q7SBD8I5GC4UiurpiWhpaXPPNvUGiVfOxuR2u/S7r93T/ZkNPXcpXl6qOl567uG//9b9iuOls3mlswUtr2/veb3eX5EDfq8KhYI6wn5dPXdmTzuz7x4a7YvUfaaYc3JttC9Sd9LOfq5VT2dQX/naW/rSz3+44cRXoVDUE4NR/dGb1h1FHo9bfp+74sH1zrS+dWuh4Vdga60I6uwP7Imnx7kP+CBxa38tciQe1h9+b1JLazulh4r3lO86joT8Gp+rvfCO3a9Xf5Uz0u5/BLFb+4Hk9nODJOnG/b1fA62I21iw4vl2B4ndwZ6IAr6lmnH79q3Ffb+67Szz2xMJDfeGFQ75pWJRX/7iM7o81r2nngBboVBUrN2v2BNnyvF+c3JNb5uL8nnceunpAY3PbVQ8lzDg8yjabk2qpWt8lfAjRlxf/9b9ilh+84ZHi4kdbaay5QVK6t35icNn39n+6Y8MaSge0fsz65pb2dKFoU699HT/nj7nQxd69G/+/fU9Y+3Pf9bQn/5gRh97aqCiz5tY2NRAd3vdr5pWP8vyxav95T/UBXwePZjZqDs2CQf9Sm5X/mGx+hnQ6UxOH77Qo49f7dPEwqb+7PqC/D6PPvmRoT3je8b4AE671c0dvfrtB5KsZzm/fXtRb99e1CufGDvilJ1cp3YyrlAo6kMXzuh7N/Y+80eSFte2dabDumum0TMl5lZSeu/eil5+ur/iAlvrwltrpcVa6QIepf1iar9B4vX7CU0tburFq/3yedw60xnUmc42vXVrseb28yspffRyXO9Pr1e8/sb1Of3FH3lCE3MbFV/ffuP6nIZ6wvrZT5+XOZFoePdQowfTf+Vrb+mVl8ZkTq41fLByb5f11ZTNVFZ//Pa05ldSemIwWncVWOddWG9cn9PHnurXT748ppnFrYZpradWedv9Qa2Jp8fVB4lbt9ul791c3BO3Po9b8VhQ370+X/OYcytbFYuU2Fwq6r95blgLq6mKh48/mtht0zffmdbN8URTcWuf46Cx+++/9b4+98knNbVYeyKy2a9uO8ucD5Z4GHbMXBzq0MWhDvn9HplT63pypEMPpjf0/sy6nrvUq7N9Ec2vWm1ysaptNBqXLa9t6733V/TWrQX95Mvn9Ob1eQ33RfT85d6az0fE4bP7js8+OySpfv9+d7J2P/re+8uKhHwVd9JNLSX1X96abnphkHqLsE0vJct3uDnHJnenE/K63RXHKxSK+s61WT0x2KHnLse1vJbWN9+a1sev9mm4J6yf+1TjCTf6SwCnlc/n0dRCstzHOsfSUwtJ+Xwe/jD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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(circles_embedded);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reason for chosing this peculiar embedding is that it has the following very useful property:\n", "\n", "$$ \\Large\n", "\\phi(X_i) \\cdot \\phi(X_j) = \\left(X_i\\cdot X_j + c\\right)^2 \\; ,\n", "$$\n", "\n", "where $X_i$ and $X_j$ are arbitrary samples (rows) of our data.\n", "\n", "First, lets check this explicity for `circles_data`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "LHS = np.einsum('ik,jk->ij', circles_embedded, circles_embedded)\n", "RHS = (np.einsum('ik,jk->ij', circles_data, circles_data) + 1) ** 2\n", "assert np.allclose(LHS, RHS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reason this property is so useful is that the RHS can be evaluated much faster than the LHS and never requires us to actually embed our original samples in the higher-dimensional space.\n", "\n", "Functions on the sample space that evalute a dot product in a different space are called **kernel functions**:\n", "\n", "$$ \\Large\n", "K(X_i, X_j) = \\phi(X_i) \\cdot \\phi(X_j) \\; .\n", "$$\n", "\n", "A kernel function is a [similarity measure](https://en.wikipedia.org/wiki/Similarity_measure) since it measures the similarity of samples $i$ and $j$, with a maximum value for identical samples and zero for orthogonal samples. Similarity measures are related to distance measures (e.g. metrics in relativity) but with the opposite behaviour:\n", "- very similar samples: distance ~ 0, large similarity.\n", "- very different samples: large distance, similarity ~ 0.\n", "\n", "The importance of kernel functions is deeper than just their computational efficiency: many algorithms can be expressed using only dot products between samples, and therefore can be applied to data embedded in a higher dimensional without ever doing the embedding. This insight is known as the **kernel trick**:\n", "- Pick a kernel function $K$.\n", "- Pick an algorithm that can be expressed using only dot products.\n", "\n", "When these pre-requisites are met, the algorithm can be easily and efficiently applied to data that is effectively boosted to a high dimensional space. As we saw in the example above, the main benefit is that nonlinear data can now be analyzed using linear methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, there are a limited number of suitable kernel functions $K$ (start with [Mercer's theorem](https://en.wikipedia.org/wiki/Mercer%27s_theorem) if you are interested to learn more about why this is). We have already met the [polynomial kernel](https://en.wikipedia.org/wiki/Polynomial_kernel), which can be written most generally as:\n", "\n", "$$ \\Large\n", "K(X_i, X_j) = \\left( \\gamma X_i\\cdot X_j + c\\right)^d \\; ,\n", "$$\n", "\n", "where $\\gamma$, $c$ and $d$ are all hyperparameters (our earlier example used $\\gamma = 1$, $c = 1$ and $d = 2$). The `metrics.pairwise` module of sklearn can calculate the matrix of all possible sample dot products for this and other kernels, for example:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "PK = metrics.pairwise.polynomial_kernel(circles_data, degree=2, gamma=1., coef0=1.)\n", "assert np.allclose(LHS, PK)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other popular kernels are the [sigmoid kernel](http://scikit-learn.org/stable/modules/generated/sklearn.metrics.pairwise.sigmoid_kernel.html):\n", "\n", "$$ \\Large\n", "K(X_i, X_j) = \\tanh\\left( \\gamma X_i\\cdot X_j + c\\right) \\; ,\n", "$$\n", "\n", "and the [radial basis function (rbf) kernel](http://scikit-learn.org/stable/modules/generated/sklearn.metrics.pairwise.rbf_kernel.html) (whose embedding is infinite dimensional due to the infinite series expansion of $e^{-x}$):\n", "\n", "$$ \\Large\n", "K(X_i, X_j) = \\exp\\left(-\\gamma \\left| X_i - X_j\\right|^2\\right) \\; .\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Kernel PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example of the **kernel trick**, the PCA algorithm can be adapted to use only dot products to project each sample onto the higher-dimensional eigenvectors. The resulting [KernelPCA algorithm](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.KernelPCA.html) is used just like the linear decomposition methods, but with some additional hyperparameters, e.g.\n", "```\n", "fit = decomposition.KernelPCA(n_components=d, kernel='poly', gamma=1., degree=2).fit(X)\n", "Y = fit.transform(X)\n", "```\n", "One limitation of the kernel trick for PCA is that the original samples cannot be reconstructed using only dot products, so reconstruction of the latent variables becomes a challenging new problem that requires a [separate supervised machine learning approach](http://papers.nips.cc/paper/2417-learning-to-find-pre-images.pdf). Fortunately, the sklearn implementation takes care of all of this for you:\n", "```\n", "fit = decomposition.KernelPCA(n_components=d, kernel='poly', gamma=1., degree=2, inverse_transform=True).fit(X)\n", "Y = fit.transform(X)\n", "reconstructed = fit.inverse_transform(Y)\n", "```\n", "\n", "We will use the following function to demonstrate the KernelPCA method, which allows you to set the $\\gamma$ hyperparameter:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def kpca_demo(gamma=1.0, data=circles_data, labels=circles_targets['y']):\n", " X = data.values\n", " \n", " # Use PCA with RBF kernel.\n", " kpca = decomposition.KernelPCA(kernel='rbf', gamma=gamma, n_components=2)\n", " reduced = kpca.fit_transform(X)\n", " \n", " # Plot 2D latent space.Results are very sensitive to choice of gamma!\n", " cmap = sns.color_palette('colorblind', 2)\n", " c = [cmap[label] for label in labels]\n", " plt.scatter(reduced[:, 0], reduced[:, 1], c=c)\n", " plt.text(0.02, 0.92, '$\\gamma={:.1f}$'.format(gamma),\n", " transform=plt.gca().transAxes, fontsize='x-large')\n", " plt.xlim(-0.8, 0.8)\n", " plt.ylim(-0.8, 0.8)\n", " plt.gca().set_aspect(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is spectacular: our nonlinear data is completely linearized when transformed to a 2D latent variable space. Note that, in this example, we are not performing any overall dimensionality reduction: we started with 2 features, implicitly expanded to an infinite number of features using the RBF kernel, then shrank back down to two latent variables." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kpca_demo()" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** The results above are quite sensitive to the choice of hyperparameters. To explore this, rerun `kpca_demo` with different values of $\\gamma$. What do you conclude?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for gamma in (0.3, 0.4, 3., 15.):\n", " kpca_demo(gamma)\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "The results are finely tuned and small variations in $\\gamma$ can destroy the linear separation. Sensitivity to $\\gamma$ is not too surprising since it is a parameter of the kernel function. However, KernelPCA results can also change dramatically with a small change to the input data. See [this github issue](https://github.com/scikit-learn/scikit-learn/issues/10530) for details." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locally Linear Embedding" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **kernel trick** is not the only way to harness linear methods to nonlinear problems. For our next example, we consider **locally linear embedding** (LLE), which is a type of \"manifold learning\", i.e., a dimensionality reduction method for data on a non-linear manifold.\n", "\n", "First lets look at some 3D data that is clearly 2D, but requires a nonlinear decomposition." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(ess_data);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pairplot is confusing until you see the following plot where, in addition, each point is colored according to its true 1D coordinate along the main direction of the manifold (stored in the 'y' column of `ess_targets`):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "def plot_ess_3d():\n", " X = ess_data.values\n", " y = ess_targets['y']\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111, projection='3d')\n", " ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=y, cmap='plasma')\n", " ax.view_init(10, -70)\n", " \n", "plot_ess_3d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LLE takes advantage of the fact that the manifold is \"flat\" in the neighborhood of each sample, so can be described locally with a linear approximation. We construct such a local linear approximation to a sample $\\vec{X}_i$ as:\n", "\n", "$$ \\Large\n", "\\vec{X}_i \\simeq \\sum_{j\\ne i} W_{ij} \\vec{X}_j \\; ,\n", "$$\n", "\n", "where the sum is restricted to the $n$ \"nearest\" samples to $X_i$. In other words, we find the set of weights $W_{ij}$ that best predict where sample $i$ based on its nearest neighbors.\n", "\n", "We can do this for all samples simultaneously by minimizing the goal function\n", "\n", "$$ \\Large\n", "\\sum_i \\left|\\, \\vec{X}_i - \\sum_{j\\ne i} W_{ij} \\vec{X}_j\\,\\right|^2\n", "$$\n", "\n", "with respect to the $n\\times N$ weights in $W$.\n", "\n", "The key insight of LLE is that once a suitable set of weights $W$ have been found:\n", " - they fully describe the manifold's local geometry, and\n", " - this geometry can then be *transferred* to another (smaller) space of latent variables.\n", " \n", "The way this works is we minimize a second, very similar, goal function\n", "\n", "$$ \\Large\n", "\\sum_i \\left|\\, \\vec{Y}_i - \\sum_{j\\ne i} W_{ij} \\vec{Y}_j\\,\\right|^2\n", "$$\n", "\n", "where each sample $X_i$ has a corresponding $Y_i$ but these can have completely different dimensions! Note that although the goals functions look similar, the parameters we minimize are different each time:\n", " - We first minimize with respect to the elements of $W$, with the input data $X$ fixed.\n", " - Next, we minimize with respect to the latent variables $Y_i$, with the weight matrix $W$ fixed.\n", " \n", "This method was discovered in 2000 and the [original paper](https://doi.org/10.1126/science.290.5500.2323) is quite accessible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [LLE method](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html) lives in the sklearn `manifold` module and follows the usual calling pattern, with two significant hyperparameters:\n", " - The number of nearest neighbors to use to calculate $W$.\n", " - The number of latent variables (components) to use in $Y$.\n", "\n", "In order to get reproducible results, you should also pass in a RandomState." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "gen = np.random.RandomState(seed=123)\n", "fit = manifold.LocallyLinearEmbedding(n_neighbors=10, n_components=2, random_state=gen).fit(ess_data)\n", "Y = fit.transform(ess_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After projecting into the latent space, we find that the S-shape has been effectively flattened out, although not to a nice rectangle:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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RAvSoNraKV8K2pJDKu9Yw/861OC5eiuYJEqjvQ0Igy9JYamYZIQQmVaTUvNX8EQK1vdjXLcBckpvxem/E39D/4FME/vIS+rAH4Q+iDbiJ1jailJegVmTOBXSufbfGOVN22e2Wf8vWZrh3DAxOg4u+spHCylxan+ki6omRW2Vn6TuqWHzbwhmPLaxxsOPnV+CpGyE6EqF4SxmKdXax+npcT5QcVGQcG8uRgN4nmogNhxHROMF2Dyyc2XctKTJVH9jKovdvQY/Eka3qxKIrPRzDs6cFRRKJMb6eEHyQUBTItDZLD0QZ2VmP3Vme3vgGoHn9hA6mv22IYJjQroNYN646C1ad2xiib2BwGigWhcu/upWVH3OiRzUUq3JaK1UlSaKwZvo878n4XG5af34CX50bZImCtSXkrSqi81e1xH2TI0L3nm5yvnoVyurZnVuSJRRbqj8+1Oom2pdIR5AY4UuJyB4hUsIep6KfxRFztLYJ4c2cAjreN4gQ4nVZSXw+Y4i+gcEckBUJ2Zb68+l7oZu2+5sJtHpRcs2U7ihn1UfWIpvmNnUWHghw8l9fJtQ56U4a6G/HvbsrLcQyOhTC9dOjrP7WVXO6ltAFktWEZDONRfhIjKeZT2imhK4LMqWeN88vnNM1zwRKiSORUVNLn2CXbFZD8DNgiL6BwRmgf3cvx75wkJhnPCQyhL/JQ3ggSPkV8wn2BCjeWELx5tnnm++8vyFF8MfRI1pGV8vIyUFingimgtNLKdD3aC1DT58i0uNFxGQQcobzS2i6hCynjvgtS4opuW3daV3vTGJatgjT0oXEGtMTt1lWn1sZRc8VDNE3MDgDtD/YnCT4CXQdup/qpvvJREoE2SJT+pZytnxt+6x8+eGe2VeuApDNCtKUtwotFKPn/47jr+tHkiXy1pRTcdd6ZHPi+gN/aaDzR/sRE6GoOkoW04SQ0TQdxapgLs8lx1lO+Tu3ouZaU/bTwzEGH3yFkKuPbrOCuqSU0ndse13COyVJIv+db8X7m8eItXYl/FIWM5Z1K8h9m1GGOxOG6BsYnAGCnakCPeECTxoY6xGd/hd6qf3mcdZ9duOM5zQVWjNsTS2ImEzJ5nmoOZPCqkfjuD77NL6jkwnNPAe78dcNsOLL1yEpMkM7G5MEf3okCXI2L6HqQxdjrcyczlmPxen48mMETyalmH61nZCrj6ov3I5kmnuSuWyolWU4PvG3RE6cIt43iBSPoFhUdPcwSvmFUxFrthiib2AwA/37Bmj6fTv+zgCWIjOr76ym7IbUaBVTgTnl8zTzngwdGJjVdStvXcbAc+3Ep6zCVQotmHNNhLsnO5rcFUWs/cQOkpdd9T9SlyL444we6GJoZxOlN6wg2j/VfSSNTX6m2+O4ahlLPzn96Hnk6ZOpgj9G8GQXI8+cpOjm1yclgiRJKCaIHn4FvX+AGBDe+QLmTeuxveN2w7efhCH6BhcsWlQn0BPC4jBjKcjseuh+rpdXPnOUyPCk8A4cGGJ14wrKthTR+NtmfC0+9IhGTJNQ5WTBzCw08WB8Iqqk59FGBl/sIO6JYFuQR8XbV+DYkOhQ8lcVs/yjm+n4bR2BFg+QWJG77B824thaQc+fThEZCGJbkEflbcvJm19IOCmJmN+VvnJ3HN/JPkpvWIHqyCE6kJwGQkLXJWRFpFhvX1XGwv/3lpRzZIqMCTf2Z71mqLEPeH1EX0RjhB5+HH0w6Z7DYaJ7DyCXlWC94tLX5brnI4boG1yQHP+fRpof7sLT7MdabKbi4lK2f3kNlvzUEbvr1y0pgg+gRwWNv2+j5Q/NREcSbRI6iixIqkWOpEqIWPqQP29ZPpIk0fqTo7T/+iTEE/v46t2MHO5j1ecupmh7IptlxU3VSBYzrv8+RrDDR7gxjOuHDSyNwKJ31Ux7j9NFDY27WYouWUzw1OAUj5FMTk0ZeStK0IJRbEuKKb15NbJZRQjB0IMH8e5vJj4axFSaT+FVK3Fct4aRR18hcLQ14/XGHhLeJ/ahR+PYNi3Hsnj6tBGnQ/SVQ6mCn0S8zgWG6E9giL7BBUf9L1s58m3XhCCHh6K0PtpNPBjn6p9O5lbXY3ra6ttxIkOJHO6ynBB8kzrmFxeT+mkuNBMZjkBSdKXZYWHpO5cR80Xofbx5QvDHiQ2H6XqwfkL0g90Bav/rCJHBMJAQam/DKHX/dYS8pfnkLcseLum4eDFDz6dfQ7KqFF+ViGypuHs9WiCK+/lmogN+lBwTeZvms+Qjl2BypKd76P/lHtyPvjpxk3F3gFDzAIEDLsK1bQgNErIy5S1HlYiebGD0UOKtwvvkfuxvWUPRvTecEdeLHkjPsDnRFp6aa+jCxhB9gwuOlse7M47Ae/cM4a4dpbgmIaSSImGyK0Sye0kAUFLCGCcFLDIYIc9ZgNVhITIawb4wl8V3VlO6vYy+p1uIDmYWKn/T6ITrpP3+xjHBTyU6HKHjoRZqPrUpq11Fly6m/PYaBv/cgB5KVPhS7CbK/2oN+WsTo2xJklh43zYq37WRQNMQlnl5WEozp1TQglG8L59Kn0eOxQnXd4AAWQYh6+i6PPEs5BwzqhJFCSe5kcIxAs8fwbyonLyrs9/DbDE5lxF59kWIpWcRVcrPzmrhcxVD9A0uOIK9mUd+8aDG0NEk0ZclyraX4m9PjwE35SroocToXpKmZqWcxNfkYe1PL6dkS2p8vrkkZywRf7odim0yNcK4+ygT0ZEshb6TWPzB7ZReu4zhXa0gS5RcU41tUXq6BsVmIn/t9BW8wq2DxIZSo5R0PRHVEw3JyJKEomooqo6k6whdRjIrFF25mNBLRzKeM3S8ec6iLzSN6LFa4j19yHY7yrKlaPWulH2kIgeWKy6Z0/nfrBiib3DBYa+wEugOZWzTphTq3vjpNYT6QvTtHZx4OyjbUETB2jxa/5DwX6cXTEw+IfS90JMm+o5N5eTXlOA9kf4aUbh50tedM9+e9T5sldnbkrEvL8G+PFGkxf2ci67/fZnYUAC1OIeiq1ZQcu3KWZ3HVJ6PnGOeSLug65CI9pERWqL/0jQFkzmaWLkr61jmFaDYs8fni0j6yHw2xFxNBP74OHpvUiSUoiCXlCLZLEiahlJRjuXKS1Hnz74c5YWAIfoGFxwLripj4NBI2nYJQdNv2lh1bzXSWFUUk13lsp9sp3/vIO5jI9jn57D53pUMuf0Q0+l6pgfNryNL2WPdx8+Vsk2SqP7oVk59ZT+BpjFbTBJFWytZ9g+TI9+qdy6j95lO/C3elONzFuWy+F3LT+u+Bx4/QfdP9k2mcOgYwV/bh+aLUP72maNqzCV52NcvxLevOamWbuq9CSETj6mYLYnOs3BzNaY1C/E/cyhjqgTTwtmvUE6cXyAiEQIPPIo+MKXD1DT0/iHMWzaQ+567Tuu8FxKG6BtccAwfcaPIOpo+KViSJFBlCHQG2P/JV9nx9c1JbRLzLi5j3sWJhT6yKiPJEpv/fRPO+1bQs6uX9t+fIpTp7UGCimvnp28HClaXsPkXN9H/VAuRgSD5a0pwbK1Imdg051vY8LUdNP7gJKPH3YCgoKaYZe9fjbUke2GWqQhNx/1kfXpZxKiG++l6ym5dg6TOvHCq8u+vpDum4TvaAVk8T7ouI+VYsG9cwuIPXU/rnw6APZf4sA9JSoS0yjKYFpaRf9OO2dkfi+H/09NE65vQPT4IhybOM5WYqwk9GELOmf3zuZAwRN/gvEOL6px6sJNAb5jSdQUsurb8tCJAfG1+VCV1Ajb58K6nexl57yiO1TMnEsutymXFu5cT6vDRfn9L+g4CvKc8FK0rzni8rMpUvDVR7EPoguHdnYR6fBRsLCfPmXDJ5C8rYPO3LkaLaiASmT5Pl5g7QKhzNGNbuGOESL8P6ywSp6kFOVR97lYGHn6V/l/szbiPkmej6M6N6J4AdR//OcGG8cVacuINwWIi5y1OCt9+KUqBHd/T+wmfaEIPRTHNLyH3+u2Y56eupPX+8iGiR2qTtiRy/Ou6nib8wh9A+AOQY0PraEPv7UFeugyldPrVubp3BLH/WRgeAKsNadUWZOfZyyv0emGIvsF5xcDRUV76l+MM142FUiow/+ISrvnRxrQY+2yMu1sSE7DpnUU8qNHzYv+sRH+cUHf2kEFfozdr2ziB1hEav7oPX/0g6CDbVIq2z8f5r5dO5MlRzHNPYaDYzah2M/HR9LcRxW5BzT29JG0lb13HyDN1RLvTOxLFBCO/eX5iWfLU/liEY0j2HNTifEZ++QSBXZOTvLGWbiKuDor/4U7MCxMiHWvvIlp7KoMVEkKkp6WQy0pAlQj/7H/R25ohHgerFcVZg/mOu5HUdNnTB3sQD/0Y3JOLy0TDMfRLbkS+5IZZPpXzA6NcosE5TyykocV0hBDs+2LdpOADaND90hD7v9Qw6/MVrc5e4WocU97skoPpMY2h/X3T55uPa1nbIOGnbvrWAXy1gxPRPHooztAL7bT+72FEBl/46eA92UfL13cRC+pomoymSSlpIvI2zEctOD1XiGxWKXnbRmR7aker5JqQgqMTOpztBSzS0k+se4DAgdq0Nm1gBP/T+yY+x5raIJptwjf9AqYaJ7HHHkZvciUEHyAcRjt2mOhfHst4FrHn6RTBByAeRRzehR6afeH68wFjpG9wznLqmT6e/8pJBmq9qBaFomV2hg6PjP3Mx0aRY//r2Ts064IZq/7fctwnRgl0+MdGilMRmPNmHlV3/LGJtt81Emj1jml1pmMEwRb3tOfxnhzEWzs1H49AQjDwWB0ju5pRbCbM8/Io3DKf8ludKYnVpiPQOETrfz5HdHBcuBKTr7quI5sl8tdVsPBDp7daVQhB6EQbek8PhVvLiQUkMKlYKwoJHa1F75sm8dC4FapM6OgpCGeeGIh2TT4PpbQk0Xtk6lglSPSUiW+CLAs010mEfyjjiFZvbEDoGTrR3o7MhvpGoe4QbL58hjs6fzBE3+CcpO/IKI+/91V8EzH1MXzdYWTApggUeXIUKQSEekNEfbFZuXgcqwq54mc7ePbOF4iMxMeEf1z8BYoiiI5OXw3KfbAf13eOEfcnRpIyIGQtaVGSQJIEiqLjaxjB1zSadfVspNcPUxaLyVKiPCJxQcwdIkaIUKeXkVe66X3URfU/bcexNfMEcTL9j5xMEvwkJJmKe7ZQcffG05oPEUIw9POdeF84DvEx8VRl8i5fS+l7dtBx5ETK0gMhMo/2bTVVyDnZO1bZkvg7Cl0n3tIMkpjqxQFAUeKoJj31OoNDCFnLqG7CM0rsDz9muCAPbclqlJqxbKeZZoTHUU/P9XWuY7h3DM5Jjv2iPUnwJ9FJ/D6ThUSSQMQFR7/TmLLvwJERjn2/kcYHOtFjqaO7vMW5lG8vQ1VBUcRYSgUdVRWY81XKL5l+FWf3420Tgj+OIoOq6AkhUjVMpkRuehETxAPZ49ELL6rEVJycRnmsHu4UsZQkkCUId3tp++Hs3D7hbk/mBgF6VD8twQ+1DND5pT8y/OQJ4uHxOH0gruN74TiBVxoxVyU/t/F3siS1liXs250U3LQV+8XrUedlLu9oWb0kcc2HHiX24m4UOY4k6Uwqv0C2m1HU8QVyU25PzdL5xyMI10lCB/ehPfRL4jsfSWxfuCzz/sXlSDWbM7edpxiib3BO4unKvHjKJAsyhL0D0H9wGEjkzHnhQ4d58q59HPqqi5c+foxHbt5N/6HhlP2X/81SLCUWZBkUhYni3/OvqaRgWeZ88eNEsqyGHRfm5ELiudUFFNRkjt4BMBdYKbt2acqvcSYtDjQN4345i0siCTUv+yjVVJApX39m/K+20fUfjxA81onQZYSuoMVVdG3MUF0QPNJM4S1bUUrGn53AZI5htkSQ1RiyqmGZn0PRvVcjKTKS2UTBXdeilCWtEDap2LavIf+tl6B5PESPnQASHb1q0lFUDVnRkCQNiVjW5yQXZepMxOQbFICuoR/ai+4eRLryNlg0Zd1DbgHS5bcgqWe++MvZxHDvGJyT5BRnHqlNp4X6WGKxw9900fJYb0rbSL2PfZ+r5dYnLkFWEmdRLAqFK/MZPTmKHtMxF1tYdMtCVv/9qhnts1XmZG9MMlLNNbHoruXI6vTjqyUf3IK5JIfh3Z2F2krUAAAgAElEQVSEh/xoA96MKRqSmZpnPxMFWxbg2Z/eOZjLcim9cXYrcQGGHzmENjLVTSShaTKSnCjfKHQd2/L5VHzir/A8dZhYnQu8ibc1WdYBHYbcDP3bT5j3jY8hyRK2DSuwrFpMYPdR9EAY65qlWKoXAKA1tsCURGoJL4xAyKBHoghThu+EqmK+6RYY6EavO4Hu90PYjxwLIitTfEThIPrJQ6iX34i45yOI4/sRfV1IVhtsugw5/+zV/329mLPoO51OGfgBiQTZEeA+l8vVlNT+d8D/A+LAl10u1xNOp7MIOAWcHNvtTy6X67tztcHgzcuqOyppfW6QWCA18iVniR1zIJaW7higZF3iB9qzO3OGNPdJD21P9bL05kr69/Zz6NOHiAxOjtgjmo4pR0VSZnZ5LL57OYO7ewn3poqSfUk+hWsdRAaCmAvMqHlm/I0jtPzsJAvesRxzfuaRtyRJLLirhgV3JdIlN3xmJyN7O9P208dWwppLcyi+vGpGO8OtbiYnOifDG2WLPOsqVlogTLgtW+EXacKfblu9EADLolJK77ue/k+5xhKMSin766N+vI/uouBtV4zZYibvmm1MRS4rBZMKsXha2/ikrRi/NSbnetWVKzHXrIKaVXBlouhL7OffRrQ3Z74FOSGDkqwgbbh4mifx5uC1jPRvB6wul2uH0+ncDnwTuA3A6XTOA/4R2AJYgZedTudOYBPwB5fL9eHXZrbB+U7fCQ8nH+wmHtIoWmbH1x7C2xvGXmJh3T0Lmb+tiIJ5FoaaJ0VVUSVW3V6JRYZjP2xCj06O2hwr81j/oUS64Kg/k0gkCPUnRL7xl40pgg+JcoatD7RS/c7qGWvY5i4pYP2Xt9Pyy3o8dcPIqoxjQwnOj2zAVpGDv83DiU/vwd806VPv+XMrNZ/fjmPDzKkHlv7zxTR/7WU8r/YiohpCMJH6QDLJlL91BaYsHUgyvhM9yDLoumAi4kmCaM8o3lc7KdiyaMZzSIoy42pd+9bl5F22ZnJDPI7m9ZPt3SxS1wJjop8NddEClKVL0FyNaW2SJJBkJs4vhJgM7sngjpGqlmUW/dx85I3bp7XjzcZrEf1LgKcAXC7XfqfTuSWpbRuwx+VyRYCI0+lsAtYBm4FNTqdzFzAA/KPL5erF4IJi//80s+dbzUR9UyZCSQhS3SPd2Est+JqDqEwmNJM0QePDPfz185fhqMmn7S+9xPxxHMvzqHn/UnJKEiLoWJGHtyU9YsXiMFF1fXkiT35D5gnOQEeAgX0DVFw5c5Kuok2lFG0qRYtqSLKU4sJp+v6xFMEHCHX6afrBMbb86OoZJ1DNRTms+q/rCLYMM/JKF77GYaJDYUy5ZoqvqKLs2uoZ7RNCoI8lkEsLThEQ98ycpRNAtpqwrazEv78prU0psFJ693YKrtmAlHwRk4pss6JHM8e4S9aZOywRiSI5CsFqgXBk4p4kSaT1JZIkTXSKmSa4lcuuR3R3IJrrJzdac5Avux45N29GW95MvBbRzweSv9Wa0+lUXS5XPEObDygAGoDDLpfrWafT+S7gv4E7sl3A4chBnUU+kEyUlp6bf8gL3a7htgAHvt+aJviQqDWiCwh5NLyexAhfAexSIjIGwNseomenm233rWDbu1dkvMYlH6/BfdyDvydpMliCmrsXs2RDOUIXmO0mIkPpoiepEmWLC2d8HtO1x/xRvCczx+Z7TrixeDUKlqWnN858oTyqLprZjZPNrsJV5QwOpqeHsFbks+yWNUiKRP/OukQa6atXoVgzT1rmfvQGGj7/R/ynJsdotqpiVnzmNvJXL8h4TOSyDbgf35OxrWjjsmmfodB1ur/6S+Inpy66Gx/hZ6dwzQocGc4tPvYJQq/sI9rahGSxkLPjUkwVM4e9vtG83r/F1yL6XiDZOnlM8DO15QGjwAFg/H39T8CXprvAyEj2pe3TUVqax+Bg5opHZxPDLnjh2w2E3NEk7/IkGulzlxoQEJCfFIftGQ5Oa691pY3LvreBvZ86jq8jiIgLLA6VuBajv8+LrEg4Nhbha/enHetY60BebJ32/DM9r5g3ihbNPAsrNJ2hXi/RgjMfQ5HJLsctaxit7yeWHKtvVnBc56TpoUMM/ukIsb5Emojmn75M6Z1bKLomw0S22UTlv9/B6LO1xHpHUItycdywnojVlPVZWG6/ipxTnQRdqRPJZmcV8iWbpn2GkYOvEkoT/JmjmlTncmIbpjl39TqoXkdJoYWBnU/BrmehtAJpzUWpbypniTP1W5yu43gt37w9wC3AA2M+/RNJba8A/+F0Oq2ABVhFYvL2V8AfgQeAq4HDr+H6BucBuibwdATxu6O4672c+FUH4/OkYmy9zbg8ZgtW0YCoDhYlkQt/xdsqZ7xu97N9BNv8iTWyMmieGA0/bwUktn6uhrWfWEuwJ8jQwaGJ3id/WT7rPrHuNZfvM+WbyV/pYPhgepHwPKeDvBWzHOWfAfLWVVL9hRsYeOwkkR4var6FosuqsVTm0fb5xyZy4wNEez30/eJlcpaXYa1KDzGVTSpFN86+sLkkSSz/2odoe3g3kdpm0HRMSyrJu247knn6MEitI30Se5xsC76UJVXY77s3Y26dZPSeNtw/+y2ir2tim3h1N9Id70fOffNF60zltYj+n4BrnU7nXhIetvc6nc5/AppcLtdjTqfze8BuEtHHn3W5XGGn0/kp4OdOp/ODQAC47zXab3AO8+ov2nn5e024uyPojLlpktolaSyeJPNiyxQ0QM1RWP+3VVgLp191Gw9rdD6Teaqo65leNv6zE0uhhUt/findz3QzWj+KrdzG4r9aPKcMlplYfO9qAu1eIgOTLia10ELVPSsz5td/PfAc6mDw8VrCnaMoeRYKti6i4p2bkWSJ7h+8kCL442jeCMPP1FH5d2emkLgky+Revoncy0+vOpZkyebzlxMRPfFU2+VFC7C/7z0zCj6AeO6PxJMEH4DuFsTOh+Btb35JmrPou1wuHfjAlM0NSe0/AX4y5ZhW4Mq5XtPg/KHuTz3s/Hwt/jG3uYnMmWlgck4uS/VAACx2mRt+vIHFV89c7zQ0ECbQk3lxl787RLA/Qv5iFUmWWHDDAhbckNkn/Voo3jaPTf99JZ0PniLcH8RUaMFkkxnd34XveB/zbq4mf/XpFRA5HTwH22n9+vNoSZO1wYYBYu4AVR+5HM2ffRJXC8xugne2iFiM4IuHiHX1I1kt5Fy8AdOi6SfKzTu2Edl/EPypE8FCkcl5553IFjOxo8cQ0ShKRQWWyy+dpqOYRB/ohu7WzI2dTYh47E23GGsqxuIsg9eF2ge6xgMugOkXVUmMRe6QWPAxFZVEmoWiFdOvktWiOie/76J//yCK0NEmcnRN+moVs4yt7I3JpZK7tIBVn9xK1B3k5CdfwF03Obk78EwLi9+/kQXvmHkhWDYiPR6CrW7szjLMJanFzAcer0sR/HFGdrdQfucGzAuyu5gsC8+c+ynuC+D+xq+INU+OrEP7jpJ3+9XYr0qPzR9HKS7CdsuNhJ96FjEymojHNylgMhP64xMolRVYr7wE08rTqx5GOARalpDeWAw0LWPI55sJQ/QNXjMdB4Y58rtOfH0R8iutbH73Qnw9kZRRewywZPHFjrt51LH/x/TJ5UQKYAbsJWZsRdPUWhWCPR85SPfOvoltipwQfU3XGRd+SY9z/CvHEHFBXnUe1e+qRrW9vj+Dtp8dx1eXGs2jBeJ0/a6WeTdWo+bOrg7AOHF/hPZvv4DvSBd6MIZSYKVg+2KK/+3miX3CnenlIAE0XwTvK52U3Loe374Wwm2pdtmWlVFy85krHNL3+6dSBB9ABCP4n3wZ2451yLbsqSAsF23BvH4tkVcOEd61FzHohlgIQYi4x0ugqwf7392DafHso5uk+YsRJfNgqC+9cd4CJMvsU1Ocrxiib/Ca2PXNU+z6VjNabDLVseuZfkoqbCnuGkFC+E3ZhF8Ba76JyEgMNUN71ZWlmOzZv649u/rpeSF94nQ8cZkQiYyXJlmn/Y/tE+3dO7vZ8d87sJW9fqX1vLWDGbdHBoL0PdnCgnfMPh0CQMd3d+HZM+mi0Dxhhp9uwOXIoeTeiwBQcy2ZqxlKYJ6Xh5prZdFnb2LgDwcJnuoDSSLHWc68d12EnCVscy4EXe0Zt+sjXkJ7j2G/+qJpj5esFuTCQsTQcFqb8PmI7t5/eqKvqEibr0C88AhEkxL65eQjXXTNrM9zPmOIvsGc6T46wovfakZPSgssAP9QDHuBCasFkl3HYRITsrl5Ko75VrwdQaJBPZGWWIPwSIzxxMTJbwm55Rau+s+aaW0ZeMWNiGeeDlZkgapqyBkyV46eGKX++/Vs+tLpTTSeLaJDAXxHUyNbxleiDu5tofieLUiqQv6WhQRPpXc29pVlFGxLrMK1zCtg4cdeZ6HTs0/RZ8xrnwGtsydzLn1Ay9AZTFy6rRHRdBIUBWnDDmRHYg5F3nIFeQvnM7rnRQj6IL8IafPlyPOXzMqe8x1D9A3mzEvfThX8ZNydIa7++HIO/6aToa4wOqCYJBZfVsxbv1LDy//WwEiDP21yVwfM4yGdJDqAnFwFNUtaBKELel4exNsRyhrKNz7azxaJ6T42fZGT10p+TSmBxnR3i7k0h3k3Lj2tc0X6vWi+xBhe10HTFMRYgXdfe5BA6wi5y0uovGcLsaEAo3ta0QJRkBKCv+jDl73mkNTTIWfFIsKtPWnb5cI8bDvWI2IxQi/sId7aCbKEaUU11ktTY+blguwx55LdnrZNCB39sd8hTh6c8N+LQy/BpTcib78aAOuaTSjlY/MB0TAc2wXNh6G8ClZsZsYVYOcxhugbzJls6Y8hEaO98d4qtn+4ms5XhomHNCq3OLAVJPzXQw3ZF6DoQHJSSqsjs7uhd98Qr/xnPe7jHhAgKwqy0DBN+VbnVuVgzVfwZkm9MFM2y9fK4vetw+dy46+f7FwUu8rCe2pO25+fs7gYU2kukX4/8ZhK8iS1HoWWr71MzfduRrGZWPzxKwnduRHv4U4s8/Io2Fb1hoWLjlN+93V4G9qJtyeF0FpM2K/Zjmwx4/3fXxF3TebEiR2rI97URu777p7onMwXbSG8ez967xQ/vKpi3rgWAH1wANHXjbRoCZw6jji2L3XfUBD9pSdhxVrkoqQC6R31sPM3SCMJ16BAgoVOuO1DYJ0mk+p5jCH6BnPGXmohkWEjHceSHNyn/Oz+r1P0Hh5F03Qq1hdy0YerWX5j+bQrK6c2LbkuPUwzFoiz59PH8bZMrtrWNdBRkDQNVQFTvsqSty9i02fXoAU1dt6+k1B3ekdVtC5zIY8zhbkkhw3fv47uP7oINI+i5KjMu6ma/JrTD9lU7GYclyyl54GTZCqHEWxy0/9oPZV3JyZjbQsLsS08ewuOtFAM+42XE+/oRhscRrJZsF20DotzMcHnXk4R/HGiR08SPVaLZUMigZtkUsn567cTevgJtPZOEAK5yIF5x1ZMNSuI/PaniOZTEI2AzY5kVZEzvfWFg4gj++Dq2xKfhQ67HpwQfAAJAZ0NiJceguve/Xo9lrOKIfoGc2bl9eU0vziUCKdjMnmvJMGCTQX8+R+P4WmbFNmew6M884kT9NV6cHeGMlbwMdsVFE1DxMBeZmHJzeVs+nB6crGG37WnCH4y+SsLWX5bBQuuryR/SSKUUbWrrHjvCmq/U5tS8apgZQGrPpgIm9TCcToebCTUHcBcYqXq7hWYTnMkng3FZmLRPZNZKIUQ9DxUy8j+LrRAFFtVIZXvqMFePXMHNP/v3oJ7Xw+hdm/G9p7fHWb0mePYV81j3t9swzJv+lDXqYi4RqzXjZKXg1KYO/MBGYiP+hj5xV/odrWjh6PIjjxytq2m4O5rJkbwWmuWIjBCEGtomhB9SGTcNK9eSjzmQ4TDKPOLUasqiT9yP6I+KRlAKIAIgS7LKKYMr3BaUgWzlpPQn3mimS7X6d7yeYMh+gZzZsu9ixhuD/Lq7zuJjsYnR+gCjv2+G5nEoqzkEVdgIMqhH7URjgjMTGbWBDDlqtz2202oJgVva4D1b6sirKbm0x8nnCFZ2jjmAjOrP5CejK36ndUUri6k/ZF2Yr4Y+UvzqX53NeY8M/5WD8c+sxd/46QLqPfPbaz54kU41p/5RVSt391P3yMNE0uR/XVDeI/24fz3q8hdnr3KFoAkS+Strcgq+iIUJdobItrrJdw+zLKvvw3FNruIHO+TB/DvOka8ewjJZsa6sgrHe65DLS44rfsb/unjRE5OJnrTR3z4nz6AnJdDwVvHctYr0/jNp7SFH3yQ+MGDE5+1hga0jg4UkXnwIHQpfY5HVpCqV09+Dvmyrx+JRRL/TG+u+rhgiL7Ba0CSJK7/4ioinhhHf9eV1j5WKyltsjbsSYy0o4zF4o+lYVDyFRZsL0aSJCq2OMgrzSGcJflU0eoCMmZtA/IWZffFFm8opnhDuqie+v7xFMEHCHb6afz+cbb++KozOvkZ6vIw+GxLmu2RXj89959kxb9ePuM5Sm9cgfvFVjT/1MBMgaJMdpSh5iGGHj9B+Z0zRyf5Xz7ByAO70CMaICEHo4SONKKFwpR/5p5ZPwP/gVoitemZPQHCh10Toi9XzENwPIPwShO+egBtYID4iRNpexEMossacqb+TFKA1AGDtHoj0tKkxXDLNyH2PILkS48AkkPDKPd/HFFcBVY7kn8QLLloS7ajLz+/C60Yom/wmqj7cx8NT6bHx4+TSfSTESRKqwHIs5hkjHiiNPy8hVgoTsm6fIaOpY527ZVWVt27eMbzQCLyBwm0YJzRY5mrbY2eGCLY7sW++PRGuuOEur2M7u/CWplL4faFSJLE8MsdExE4Uwk2Z15UNZW81WVU/f02ev7vBOHORGclSYmi7FOTRUa6Rmd1zpEnDhHxSQhhnjifatLgVBehI03kbMq++lUIQbyjl1j/MKO/2Zk1mZLmnUyrEBsYRWgSyGJiRC4E6EJGRCYFO+5yQTg89VSJ/VEh04qE8gqkVU7o6wBFRV6yEmnbFakdl8UG6y9H7HsCKdntI+kopihyIAQBd8rbgtxxlLi3D23zX2V9Fuc6hugbzJpoUOPgHzrwD0ZZtKmAWEDjsX+pJeaNTyvsyeRWWJBsMu7mEGZJYBkrJK4JKKu2TzuaPPLNOup/0oI+nrZYhvyFNoQio0cERWvyWfnXi+h7voe2B1vJXWin+q+XpKy41cIatd+vo3dXPzFPDMWmULzegR7PlgpZZE2THOoL0P1wIzFflLzlDipvWYo8VoJQaDot39qL+6W2hMBLkLuqlKUfvxg1P/uqT/k0VgeXXr8cWdYY3tVCuGsUbdCbOfvkNMXRx4l0DxNsGQEx+ZcUQiEWlZClKJHWXgJ1fYRbB5BUFfv6RRTesAFJlog2deB/+Blird3EwhJ6XAY5SybM0slJZa3fja4rMF4YBcbCT2Vije1YapYlnokje1oIKdcOkSmiryiomy9CfcsV0990LALrL4fCUoTrEFJ3PXLUi2zWJmrpTr0HSY+j1D+PtvZGMJ+f0T2G6BvMiuY9Qzz8yZMMNiZy0Msq5NrNRLzxCS/L1N+4rcjE/NV5DJ7womuCivUFbP9oNSGfxs6PHkUNpC6YCtV7aH+2n6pr0qN1hhtGqf1hU2p4pQ7h3hDrP76SNR9czuCBQQ796xECnZMTvO2PdrLje9vIq8ql/dF2ar9TS6AnnGKtvy1AQXm6Z1jXE4XN679xFPviPJbc48S+KBEz3vdMG6e+8yrRockRaO9fWln/jcsxF1ro+s1RBv58avJkAvx1gzR/42VWf/tGev7vBKH29BDSws0zp40G0KNx2r78JP7DHRO2ZuowlUIbxTdOv7ANwPP0sanekDFk4roJz0uniHRNvlUFDjUTau6n4v1X4f31o2j9iTcloY+FkQo9/QshS+Reso5oUxuhF/ahd3cjSTpCSAgxviwvgWS3jVXJklBXr0ZeuBC9Mz3dsrr9LShKHL3uBMLvQ3IUoazfgrrjssRzcfdBbyfMX4LsKEkc5B/F99xPkJtPQjyKKF6A2HgtargNeTT7Yq+J2wgOo7QcQFt5fuaONETfYEZ0TfDEF+smBB9Aj0F4NIaUCHJjPLvN+M/W5jBx7RdWsuGvFxIajqLHBfYyC1pU58XP1UFYJypAEqBIoEoQGY5x/CetGUX/4Bdqs8bTNz3YwZoPLufEt+tTBB/A0+DhxDdqWffxGk58/QShwfGZhFT8bo2CcjNx7+TCJ4RE3Bdn+OAAwwcHcB/oZ+M3LqYoP4eWn5xIEXwAz/Ehmn94jFWf3sbI/tQ5Dl1PuC08J4c58u7HyF9Xhh7XiXQn5iwks0LRWxay4D0bsv0ZUhi4/9CE4AOTdXBlaeI5mSvzsS9z4N/XgHJlDaaS7Iuc4t7say5QTUS6PEx9br49Lqx5YkLwYSzlBYCQJtxn41jXLsM0rwDvz+5HeMbuW06ESeq6mHjLUIusKO3HCH31GSSLDWXZCiy3307k0UcTwi8E2Gyo69ZhueYaJFlGXHUj6DqSkjiHHgkhnvg1tNZDJAyWHLTq1cg334P85A+IdZ+aME3qbUSM9KA7CjJOCk9FALr13KyANxsM0TeYkfqd/XQfT48USR7dj0/ayiTeAu745SaW7EhMmNqKJsMen//0SWonJn0THUZ8bIm9SYLhWi+xQDwtz05kNLMPHBIx+6P1owyfzDxKcx910/yHZqLD2c+hxRUKL1mELUfg7/Ay8qobPZLaywQ7/LT8sgG5P0SwPfME88CLndgW5hHzTHYI44I//rTCvX7CfX4q71xFTmUecW+Y/I0VFKyfl9W+qQTq0usFyHLCt15w2TIkLUq4oZPQwUFCB2HkiSMU3b6F4rdtzXg+U1n2sE4p1w6hDPcb0wg2DpA8jyorGro2dq9iIs0pUkEuRe+9icCDT0wIfso1pMRKWrUsF6s8QrxxYOwL5kHv70P1jJDz4Q8Tr6tDHxlBXbkSubh4rHcee8tRklxTT/0BGo5MXiAShLpDiPAoUv8ppiKFAwi9BCGrSHqWLJzj5y5eglh0fqTtyIQh+gZpNL86zMHHuvANRvH3hfB1Roiij2XClJBIpMXUhUCeMvrTgSWXlEwIfjJBd4SWpwcyXFFCEwJVgGJTkE3p462C5Xl4Tvky+olzyqxoYW1yRngKekwQzTJxmkz+skKWv7uatj+cwr0vc5I0b8MI2pXZ8+9HhyM0fvcoskXGJGRUVU8R/AkEuHd1svjXt846nDIFLfNMqSSBbNIJHmmBpHkKzRdm6MED5KxdiG1ZeufiuHkTvn2NxHpSJ5LN8x0oJXnEs0RRyfl2SJoDV1SB0ONocYXxdz91XhEFd1yGWpiH1pf5uUoSmLeuwax40Ov6mVj1IUAgiNXXoXa0Y6qpQQiB9uJTROuPgd+HVOhAXrcFdfsVAIhQAFrqMl9noDV7mKZsIr7lDhTXLmRPL0KxIswmpLB/bHgCesE8YtvfmaHS/PmDIfoGKTz45ZPs/FkzsfCYYIhEZkwL8pgrRyRi75HQgPxyEzF3HH0s2VlOsYmt9yxACEH7C4O0PDuIBFTfmHDZhIYyi++4hFVcVIRiTv9BbfvSGnpe6EcLTXE8KxJbv7CGmC+OYlPS24GiNYU4VjvofKRzIuPmVBHOq85l6Z2LAVDt2UVYsShUvbWa4989RKQ/ew1nPaITlc3IcuaoE4BIn59gm4e8VSVZ98mEEAIhMkuXbDcjxWMpgj9xXDiGd1d9RtFXC3Ko/KebcT+wj1BjLyBhW15B8V07CJ3sJHQsfSGVnGel+G+uIvDrEWKtk+4s1ayjFtswb9tC0YoF6DVLkcZyY0jTpFK2rl9J/IkHSPnbSDqyooMeJ/7iU2jzFyFaG6BzMsuo8HvRerpA01Evvgrh90Awvf4xgIjGIcufV+TkIzbeir7uRqThLkROAeQ4UI48jNK2D0kIROVKyH/9it+8ERiibzBB/Z5Bdv60mViyW0NKpERWhMCEhA5oJEb4uaUmFm8qpPGpwQlfaNgd47EPH+fZT9cSccdQ9cSg6MRvO1jx9kqsRSbCw7G0a0vAvG2F7PjC6rQ2AFuRlSt/dhF7/+UIwZ5EcjVriYWNn1iFfZ6NF+55KaPgW8ssrHz/CorWF9H15y6Gjw2j66nCX1hTwIbPrEMZS+pWccMiWn5ZT6A1fXRbtKkUU56ZRXc7af7xcfSka05NBCl0CXW+g3ifF5FhklTNN2OZd/orXjv/Zzfekz0JV1py/6hIFN1QgxieJvNkJLvrwrqkjPmfvA09lthHHhNqy6ISQs39+Pa6JjoTOddK8R0XYaksQv3AXfgeeoZYUzsiHse0sIKc6y7GsqqakimFvs2rlxNvSe9AlAUVmDfWEH940j5ZjSOr+uTbXXMtemMtZEqep2tox15B2XEFkqMU4SiFkQxvFXYHIto/MXIfRwBi+TaIhZD76hH2IrAXobqextzwCFJ8bM6jsR2l9yiRyz6GKFmW9VmeyxiibzDBoSe6UwV/HCnhd0+M8EFWZHQNvMMxju4cwCwEpqQpsFhIxxPSUUh4XCw6EBWc+mMPFVsddO9NF6XqG8q56WebkZWsL9/M217C23dfS6AvhNAE9kobkiRx9CvHCfdnHlFXXDGP0m2JkdmO/9lB7fdqGT4yjB7TMRdZWPyOxVTdumgyNUAoTsdDjdgqc4gMhiZTNshQsn0eKz6UWDRU9a5V5FYX0vd0G4MvdRPzjr/BpNpfcmU1+IP0PpK+rL9wSyVmx8xFO4ZfbmPg8QZCnaPIVpVY3yiSLqNLAqGJicnTgppKKt/3FoYeegXf3saM57I5py9TCJNiP44kS1R+5EYCV9YQONqGpMoUXLkGc0Ui/FIpzKfwvjsQmgaahmTOnroi54bL0dwjRI7UTcTeKwsqyL3rrZN++Xgc0FMFf8KWaQwfHqWRufsAACAASURBVIJQEMmei7R6K2LPk6QsGJBk5Fwrkjt5W2IXCVBO7cJc+2tk/yBCNqGVLkcKDEwK/hiKvx/TiYeJXvmJaYw5dzFE32ACLUs+emDixyEjoY+PWnWIIRJFyxEJX/8UxounKCR868H+MPZ5FsKjMbSwTv5CG8tuLufSz/9/9s47zI6rvP+fc2bmlu19Je2uunTVbUmWbLn33g0BG9zAtAQIEJJAAoFQ8iMhQGiBEEwJxYBtZONuLHfZKpZk9b3qfXsvt82c8/tjbt1770qWZWuF7/d59Gh3+szOfM973vJ9Zx+zAmTxuMyGJ+GO/C4UlZZj763ysujL+QNwg3v72Pj5VxiIV+ZqBWa5Re2y8Yy7rIn6ixoz0iKrzxpP9Vnj2faNtRx+cFfW8aTXoPrs8ZQHqnBCMbpeOYQzEMUotqg4YzzT/2HZUe+1Z+U+9nzzxaxiLiEMTMtBI5IzjFh8m6rrFjK4bg/hYGawt+i0SZRfmHsmdSwoXjCR4gUT864XhpERTM25jZSU3X4z9qXnEnp+JaqzE7O6FN3ZBpMbkZMno4LBnISfQD4JbYpLId75SlxwHXi86O3rYbAXyioRc5cgDm2ArsTOOm1MEMjDm5FFEUAjVBSzbWvePp9G1+54Wuqp59svkH4BScw+p4YXfrMvZzWloUU8tJb9FSgBEa3x5flC0ucOvbtdP7gGrCLJGX8zhQXHWEGbD6N1vSoaf+wFNDt+sClJ+OB+z85AjHD7cBbhp2Py7bPoXd/O0N7MDKe6S5qonO/OMgJfOI9w6yAD2zspnl5JUdOxVfi2PdKcs3pXa4FS6e4dDeEQh3+4AquymHEfv4L+FZsJ7WgFKSmaNYHqW5YiRtO7eRsRe20tav0acBzsvWC/th5781Y855xH5EgLhI6eLz8ScuYchBmPHQiBOPsKOPsKtFaIBDn3pef6Z/49pbTdNNP4KiHyDzBaGln7nyookH4BSSy5vpHXHjvCa49mNr2wFBRriTZk3lz5keNErs9BjPjZHlZs+sVB5r1/ItI8fjKafsc0Dj19hOHDmYHV4onFTL/92JqU2MMxejblkWLY0sXg3n5Kp+Ym6qKGUk7/9vns+3Uzgzt7MXwm1WfWM+l9mW0QfeNK8L1BH374UJ4eAIh4MNetkrAsB7u7j96n3e17n29mwscvoe6O89/Q+d4O2PsPEH35FbcJefrybdsxpk7Bf9fdxJ79M3rPpngUaQSUmw2a9O0XFSFnzsO84qac50sS/nA/Wiu0YWXKLgDCp11VzkSmldZoqfIa8qpuVv6uPGMcBdJ/ByMacnjx/n3oqGD6WZVMmVfJR3+0hKcX7uLZn+5hsDWCz4ayeKKmKjEY7M8OwgL4cV+mRBguQ9xwlGvoah7gyNoeGnOkeB4riicUsfQbi9j230G6NnUjhKD6tCrmfHwWvupja3StHZ0z4wUAR6PCudU+EyhqLGXO53LnwL8ZmGU+Ikdyp0smnrHl1VnPONbWT/tvV1E8P/8M5WiIHe4ktHEHsthP8dnzkxk4bxaxjZsglvs9cvbsxXfxhRh3fZDY0w+jXn0uY3BIyHijJaJ+AnLhIsRgD9LvR/d1IaqzC/sAaNuPfOLHiJ5UIxYN4ClCNwXw9qwFZ4RZoiQa5UpKpF9j9TSiC2974zc+RlAg/XcoXl/Rwq++tJGW3W5qm6/YZOm1DXz4W2dw1V/PxOxSrPx+plKi7othWCLL928BRUJgeCWOBZGBFHkWVVpMXlpO6+peov028d5E7kck3Hz/aJ6B5FgQHYiy88fb6dnchQFMu6GBqXfPpHTiG6uYtEo9lM2uomt1tnhcWaCCslmV9G3poGV5M1vahqHIpObCSYy7+q3N4Kg4s4mh5uwsFG9DKRNum4fdOUjfE6+jhrKlpkM7Wokc7MY38Y0NqFppev7vcYZXbUOH3eMOPLmKitsuwz//7ctYsS6/AXt8I86Kx9D9fW7rQ68XSssxZs1D9B1GvPQQKMcl8LUrUEsuQV5wXdaxxKqHMggfNNJ0wKcQ1iDSyZVKLEAJhNTEJp8DnhJUeQP2zMvAOHHN499uFEj/HYho2MkgfIDwkM2Lv9/P+Gkl3PCJ2ex5MbtvrIHEYysMnyQcVhQDFiIZxFURxdKPTiVmQ7g/Rm2ghEV3TMT0Gjx2zzoOPNGCGRdYU9ot7nK04NWvNlPa4Kd2Xm73SeuqDnbff4BwRwT/OD8zbp1E7cIqnIjD2k+spHt9yi3TvaGLlhWHKZ9TScmkEqbePoPixkyXSmwgSqQrjH9cEYYv9QlMvXsOQ/v6CbelsjXMUotJ7wvQu6GV4FdeJtqVWte95gjhI4NMvmd06YRIxxCHfr6egW0daKB0di2Ndy/EV3d0V0/D7QuJdAzR+dSOeEGWO+BGWvoY2tpBw12L6XtiQ+6dlUbF8s9Qoi3dDLy4FbSieGkA31Q3f3/gqVUMPZ95TLuli97f/BnvVyYhPW+O8Kz584iufDWntW9MmZTxu7NxHbozze3mhF1joXUfHN6euXMkjH71KZRlIIc73Uc1eR5MmoNoTTNghEJ6YkgDsPvgUM+oUrDaKiK28H3o0rr8G51CKJD+OwihgRj9nRE2PttCy65BDARGfOKq0NhoNj3Xxg2fmE1kMHc+t6UldWUWw+FoWlA3NfntCg7SsLSKpR+eTOm4lGvF7wFv2odluIq6oDR9e4ZZ/73dXPGT7MyaPcsPsu6rm4n2pa7nyPNtnPn104i2DmQQfiKLJdoTpWNlGx0r22h7qZUzvnkWFXMrcUI2W//fOjpeaSXaFcbfWML4K5qY+TfzXZfQknrO+OGF7PjBRno2dGAPxHCGYxx+YBeGiGYQPgC2puWxnYy/cSaean9ON4ozHCP4z88wtCM1iIb39TK8q4u5370Go2h0AhVS4G8qdXtBxg/vNnlX9D63jeHXdkKe3Hvf1Dr8U3IXEvUsf5WeR9agh11LvveJdZRdtICaOy8hvCk7EwnAbu1i6OWNlF58RnKZViqjifmxwJwyGevMJcReWZWUUQAwAjPxXpCKQTj7dqN35ehgFQ7h7N2NlSsz1LHRzz+E9MYbom9+ER1YklFEIS3HJfzkTYySESTAGb/gL4bwoUD67whEww6/+qfX2fRcG71tYYrLLSwkbqF86oM1UAzGNW7qAiV07x7KOpa/2oNhypxZPAC7nmxn15PtrPnhHhZ9cCJn/91MQh1hWldlzxxEUlZZc2RVdraGVprmn+/JIHyASFeU7T/dTc20FGHqtNS7dAwfHGLnvc0s+fYyNn9lLS1PpgqDQocG2fOz7YRbBjE9EieqKJ5SxuDOHtRAFInLST2bOvF6YiMq7zUCjdM1yIbb/4hvQik1F0+h4bb5GeTfsnxbBuEnMLSzm5YHttJ4x9EF1oa2t2Wd2+NxkFLH3ToqPhCktjDK/FTfsjhnGmx4dws9D69Ch9Ms7YhN/9Mb8M1oQIXzS1aoAXfgC72wisia13F6epGlJXhOm0vRVRcec/zAf9MNmNOnE9u6FdXdiygtxXftVcnsGwB9cC/YeVx/zijd7LXAjhhI00EIhdi2Gl07HhEaADRCqqztXUXPHKdpWEDk7L8+pns6VVAg/XcAfv7363nlgVSq2lCv+yGNzLgxkJjKZZezPjKZw+t7GWhN8xULmHv9OA4+2koupB8v1BVl9Xf3UL+gHI8B4TzyCwlOCnVGeP6eVzn7v87AU+KSec/Ofnq25c5e6d7WR830kVZsbsLp3drD8JEhOl7JFikTKNqf3p9zP5U2kGRnJ2lkvPmHGo4xvKubA3u60TGHprsWJrcL7c/fwCR04Niam4wkbikVUqZfkXSzUjR4akvwTa7GP2scpYsyXSUJDL68LZPwE1Ca4fW7sCbUENub/azwWPjmTWX4uZUML38qGWB1+gYIHWpBh8OU3HwV9pF2hp96EftgCwM+D0xuouSGSxHelGkuhEBWV6Pau3D2HwCtGdy5C8/C0/DfdL2bcllVm8qbzHooo9SUINDaQDmuFhCA7upAxY2M7NdEoB2BQkNpDWiFLqkhNu9a1OQzRznPqYkC6f+Fo6c1xKYVOTpbxf3qckRRVe/+YR784hau/dws3n3vQtb8dD9du4bwVVjMvLyOM+5s4mdP5u+UlQ47ogj+qZXz/nEGnjIzHsjNRIJYpdAceKYd31c2c9Z/uG4eq9h0g8PhbKvO8EomXNlE64pDOMMJv3UuVX+QlqR/Rw92VsBYHYNuVtz9pSRG0kJMEf6Iw9H57F4a3rcg2UzFKM5fnWocY9P10tMb6HlpX+qKchKeeyP2YJShDfsYWr+Pvj9vpeKK+dS+KzOrKCGzkAs65lB6w1lEggdxOjMHpaJFATxTxtN7//KsdEuA6IbNxM5cRP///g4Vl1t2APYewmlpp/wTdyRdQVophv7v1+j2NH/94BDRl15B6ihmrBvdfgTplahILJWjCW5lbbEPHesftTZKK4nWDkJoJDEQCqRCOyCymE9iV03Bvumr5NZ5+MvB2KjUKOAtw8GtvQz2HF1hMoHYsOK5n+zhx3espmFhBe/6n4V8ZMW53PngmSz7yBQsn8n4xbk7GeX6TCKDNqWNRUw4L9u37LbGc/czBSgEba92YA+7pOSr8lKzKPe5ahdXMe688cy4ZzaeytHJs+r0aspnV2KVZ2430iUyGmzbwHYS1a/5rczw4YEM33/d1TMwS7OvzyjxUHdldvP2XKi7ZjZVF049plogFYomLy/WMUDHH1bTtzJTksE/qynv/t6p9XgmjqPmE++iaNk8zKY6PDMaKbvpfKo+dD06FMbpzF04pbr7GH7s2SThpyPWvJvIuq3J34fv/Vkm4cchDAex5SV08ybo7kTYUQxDI+IWOxWVGBdchpw2zfXFj55Ji9v60MawFIYBUkhwDJRS7iAQrwPQvjKc066NC/z/5RI+FCz9v3g0zaugpMrD4Cha8ulIWAE7X+7i/s9tRtggTcGcy+uYc1k9QgiW/cMM9j7Tjj1CpychIJz+HdbOclMnZ97WxKHn24kNOskZu9Ku1eqRbockNIS6Ihx6oZ2dvztAz9Z+lFaYJWZKAweomlfOos+73aBm3DObxusmc+jRfXRv6qL9pTZ0LEXKVpnFzI/NwV9fTO254znyWG5XztEhiMVMbKEwpMAsVRDLnoFYVT6s8lR7wpIZNUz80Bkc/u0mIq1utpR3XAkTbp1PyaxjU9cUhmTqP11C5flT6V93GASEt+wl1jqyx4HOngVEHfpX7qD8nBnomM3AC5uItffhmVxDdF8H6SOJL9BA+VVukNYzaRzVH7kx+2K8HmRxMSqUnSJKkQ81kB0HSsDefwiWzCcWDGI359YGsjwxZA4mFwKYPgvzxlsxKipxHv5FPPlXjxKEdQuuMmcDCum1EUbKc6QtH7HL/hY9YXaOg6QgQy14Wx5B2MPYpTOJjrsCtwH7qYUC6f+Fo7Lez2kXj2PlA9nKhl6fgQrHSUK7pJ3I5jGB136VigOsve8AZ90+iZu/MZ+BA8PoiEKSsnkFqVTMBOrml3HGRyejtWbDd3YSHUh9zEJozLSil0QgTWvB6i9vJtyWPkhpiif4mHz1eMqmlDDt3ZMy5Jf99X5mfHA2r37oBfQIIo71R9n9s2YWfHEx8764hK51nYRbXGKyHUE0ZpBoOGWaDlbcovQ3lRDuCOGE0o/n+or9EyupWVBM5zOZdQwAlWc2Zunj118/i5rLptH57B7QUHPJ1DesoS+EoOq8qVSd51YYh/bMouXelQxtb4GYg1HuQ/UP5XRXOQNhIgfa6fjvR4kdSPUzsGpKkdUVCMvEN308FdefifQeJZvINLHmzCTy4qqsdZ6Z08guE0vbNy6rbG/ZEjfRs/sMyJFB1sS+WqN2bSf60x/guek9iOFupCcRm3J98pmOC42UTtYgKL020kwtEwKEPYy58zliCdLXCtm1Gy0tdOUkEAJP65MU7/oR0okPtC0Qa/8z/XO+BlZx3nseiyiQ/jsAd31zIaZPsvnZNnrbQ9RNKuHM6xtZdlMj//PBtbQEB1yZ3niDFAmYSNDgATwIZAw2/eIA9ROLqKrzJeqqsmB6BTWzyqg/vZxln5mOr9xD5+Ze2jek+Ye1Ro6YRSd+diKaaFuEkaINQ0ciFDeVMPN9U3LeY19zL10bOnNafJ2r29FKY3gNAp8+jY1fWEMs5OA4ZvI8CrAdiVY24y+s5/Rvnoc9bHPoj7s4/Ohehg8MgoTy2VUs/eIydKMfDfSujouolXmoOquJKZ/IHfgz/Bb11wRyrjse+KfWMvXrNxI50oszHCVyqIuW7z6d0/PkGVdO92+ezSB8AKd7AO/08dR/6uY3dO6SW66CcJjIliAMh8BjISvLEZXlyKIi2NQM9ghr3ZTo3g4iD96Hbm7GMB1sW8R99SnoPD6spFutpwP1p3ux7O40I1ujpcaJ4Trr6yYgew7lGH40QuZ2zckjWyAWxjj8Gp4tDyF79oGQONXTsaefQ/GR7yPJnN1Yva9TtP/nDE//+FGf2VjCcZN+IBCQwH8DpwER4J5gMLgrbf2HgI/gVuZ/LRgMPhoIBGqA3+JW7R8B7g4Gg/k7URRwQuDxGXzgm4sID9kMdEWoqPehbM3eNd1cfNcUln95W4aksqEFHsCLwEoP8ypY+Y0dXP2f8ylt8jNwMLuv6pRL67j2Z4szlkUHnQyXy2huUzVKJl7/3tyNMQBCrcPoaO6dY4MxlK0wPAYNlzcRaQ+x5TvbIDRye4GoLGHBN85Fegw8HoOpH5jLpPfNomt1C2aJh8qFtdTVldHRMUDgixcQaR1kaE8PxTOq8Na+/Rafd4Irb+yfWkvoxSC96zPdV2ZNKWXLptLx3ddz7h9uPoQKRZB+b871uSBMk9I7342/q4fhx54hunk7ur2DaHsHWBbmhDqcrj70UOL90AhCsOlVnDgTSwNM4XbY0kqmtmucCq2Zrh8dz6N3c+sVuncAxyMwPZkWu/Rb6Gs+jAychvjNv0LrXlcIMzE4CJ038Cuig4i2bXjX3IuMxK157WB2NuPVG5DFOdxZgNmT+7mOZbwZS/9GwBcMBpcFAoGzgG8BNwAEAoFxwCeBMwAf8HIgEPgz8C/Ab4PB4C8CgcDncAeF77yZGyjg6Nixrovn799LaNCmcWYZ3gHBhuVH6DkYQppQVGQSsRzCg651VmQaWLb7cozkZies2fCrgyy4ayKr/3Mndhpxlk30s/jj07LOX7+4koqZJfTucEk7f5wsISCWG/7a/Do6NUtq8Y8vItSSbUOUTitDWpLdv9hO6zOHXbdNngEi3B6hr7mP6oUp6QLDa1B7bgPh1iFi3WFI6yfrHVdy1EYoznCU3tUHMMt9lC1sOG4tnNEgpGDOv72Lbd96kuGtR1BRG9+0WqpvXIxZZEKejB0dtd1uUm+A9JNQDrEtQUQoTdo6FkMdPoyc2ICzz/17S0Ph8TlZricpQVhOvOuawJg9G8+dd6L+vBy96TUIDSYJP/OZSZyogZCu5Z4IyEsngj7wOsxcAOMnIzvc7lpJn78WbuZODje8KpuAdXB1ivDjEJaDEPmjxUboEDghMPIrvY41vBnSPxd4EiAYDK4KBAJnpK1bCqwMBoMRIBIIBHYBC+L7/Ft8myfiPxdI/y3EYz/dwe++uYXQgPvRFyuDap36wJUNoX4bAUxfXMnpNzew+lu7CXfF8iaLHH6tB79XMu2qepStifTblE8q4vR7JlM1I5sADY9k7l2TWfNvzcQG7XyZlYCmuNFHuM/GHnAQ8cCk0oLSScXMun1y3vs0iy0ar5vEznu3Z0SSzVKLyX81jeD3N7PnF82uQqMG7eSWxpVeiaciM9um9ck9HPx9MwM7ezC8JrVLxjPpo6dRPPno8shHfrOejieaibYNgoDimbU0fWwZpXOPvQn6scIq9TPhby4FEjES9/60UlgTa4kdyNbw8UyqQ5Ydu/x0OiKvrIPh3BN13dkdd+EppKHz++oFGJMnYp6+GGvZMoRhIK96N+qcy4j9/AeojtYsiX5pxpCGShG51mgRT2Xd9BJMmY9efA368A5E12G344Nw08RsWYSpQwgdTxsTuA1TZl6A2bEp+wINB2IGTiyGNLMNFqkj+A7eT3jyHW/8AZ4kvBnSLwPSK2ecQCBgBoNBO8e6AaB8xPLEsryorCzCNI8vOl5b+8YEt94uvJ3XNdAb4dGf7EgSPkCRzv0n1xpa1/fR+MnZrHZGs7fdGNzBl7oQAgJXj+eDT12EcRRp5Nq/m0/DvGo2/2YfHa930bc7WznSX+3ltmevZOfyA6z/5gac4RhSgPAYzLyynoZpVaOeo+bLZ1EzuYJ9j+8j3BWmdGIpM983k/Fnj+fhi/+YlIV2K4HdwWQkxi2tY+rSCcnf2149zM7vrCPW507vHTtG6/MHCHcMc+kDN2N48r+fhx/fzpHfbkBH46OQhqFgB4e+9zLn/Pb9GL43FswNtfZy5P41RNr6sCqLGX/9IkpmZA4eed+vd53LgR8/jhpOuSnM8iKa3ns+VWkzlzcC5ZHka18jpVvslHCn5B3nhaD+1nfhm5UpQ01tKeHbP0DnD78NduoswhjRQlGkzwIEOBqr+RUqll2Afdc/M/y7r0Fn3OUlFEKH4tchQFpQ04j3jOsonjyf6DNr0EIl4wzSH0VYChAIJREi98BVHNtL6Qn8rt9qjngzpN8PpF+djBN+rnWlQG/a8lDasrzo6Tk+d3/tiL6cYwVv93U9/rOddBxyn6GpBD4kVj77XbiV7RseP0RZg49QbyzvhypJWTzBx1t48YfNzLstf+53AmWLSjlz9hyaf7OPfY8cYWDfENG+GNIS1C6uZNn/O42IR7Hv8V1E+m2UcglVxjTN9+3AP6OYKe/KHchNoObaRmqubcxYtmflQYYOZcYDTEMRc0Dr1GBVPqucWZ+Zk/E32v6rTUnCT0fv1k42/eJ1Gm/Kn2u//9GtKcJPw+Cebrb/eh31N8wd9V7SMdx8hCPfeZJYe8r90L5iG+M+dBFl57rXMNr7Jc4IUPsJi4EXN+P0DGLWlFF68ek4gabjfiftpkbXR5MjECMnjEPt2J04u+u3z2Hti4Ym+qsmMJDrGqomIJddgH7pqdT2I4risj1lgtieHXS09yP2bsHqOpgM1YsREsk4MZxwmPD+NZirf4iMDrqSsUq7/Xk9mZlb+RCJCQZP0Hd9ojhitIHjzZD+SuA64A9xn/7mtHVrgK8HAgEf4AVmA1vi+1wN/AK4CnjpTZy/gKMg8ZqWKAM/ZjI7Jyfis11ta+bfMoH2YJCY7X4DqTCb+/NI+/TImu5jIv32DT28/NmN9O5MELCmfGoxZ/3rXBoucHXQW19u5dArvWiVsqCVA86w4uCjB45K+rngH1+MUWziDKU13ZbgEQqjwkPjDVMobixh0o2TkJ7MGUukI7/hET6cP7AMYPfnb+MY635jBk3n/WsyCB/A6Q/RuXwtpWfPOKZWk0WnTaXotGNrKnMssObOwrNgDtHXt2QsNyY2UHz3rYQfeZrYmrWAwokZCKEzSbuqGs9V1yGEQIfD2GtegXAIOXkackYAIQTmhVdi72lGH3at9YwUzHy3HA7B+qcwmp8GpVzjJU/ygNHXggzvR3qd1CGldjsHpUHboD3Zx9BIotVHb3s5lvBmSH85cFkgEHgF91ndHQgEPgPsCgaDfwoEAt/DJXUJ/HMwGAwHAoGvAb+MZ/Z0AqduJ4IxCK01m19sZ/MLbVheyZnXNVBd7UN2aGT8C3HimdQjyV/g5uhPOquKpbdPpHv3EOvvO0TM7SGBxB29zRxVrIbHYPdTbWz+5X56dg/hq/Aw6eJazvrsjGSjc601a7++PY3w3bP27Rlmx/2Hk6S/41d707I50u9N0h0cnWTzwT+uiJoz62l79nDmPQtouKyBeZ+Zn3dfb21+f7evYfQArnd8GYNbckhWSCiacWyFWeBW2YZ25Za+iOztILSrlaKZR294fqIhhKDk7vcQeraB2I49YDuYTRPwXX4BRkkxJbfdhJxUR/cfHwcH7KiFMBRSKIxpU/F/4B6E14u9bTOxx5ZDT7zSV65ABubgufUuhGlh3PphnGf+hD64Fx3uAnX0AdNY+Vuk6bpm3IvNv63O4ebLeMcNB2EBSqDTBi2tIVY2i2jdpcf0vMYKjpv0g8GgAj46YnFz2vr/Bf53xD5twJXHe84C8kM5mh9+YjWv/OkgtuNaQw//qJkJNSUMkyp00gJsrZNErnXCehfMuryOM25rci0vW5NwYSbcPDkJ3yspGe/lmU9tJNzjWtL9+0O0b+xjqC3MZd9eAED3tn46NvTkvPa2td04EQfDa2BHRmvOfvyqIfO+sBgVdeh6rQMVdjBLTGrPGc+cvx9d5XL89dPpevUIdn9mRXPJrComXJudqZSOuhvn0b/+MLGuTJIqPa2BynMmH/vFS5E/40eIo/a91UrR/8RrhLbuA9vBM7me8uuWYZS++YwTYRgUXXYBXHZB6nxaE9u4idjWrXhNgbVoHqq3H93ViygtwZo3B2vJQuzt2xHV1dhPPpIifAClUNu3YD/zBNaV1yFLy5E33e4eu6cd/vBd6GkfeSlpF+UgjZFKmvk2zp27r5VAGO5ykYghKNeVlfQIKo2yKk452YZCcdZfCJ68dycvLT+QoUsVjSq6Dg/jH/FnVsJtYGIBRUikR3L+x6dxyd/NSAZk25sHkh2uNG5CTESnXD0C8BULFt0zhdbXepOEn47dj7Wy5JPTqJhcTGzARsVyf3lO2E3bM7xQ3JDfsi6ddnwBRwBvlY8lPzif3m3d9G/voXJRLaVTjn68qsXjCHx2CQd/H2RgRzfSa1C/dAJNH0mJquVDycxapn7uIlof2Mzwni6k16RswXgaP3zmG0rblF4L/6xxDK5OrwBWyXXtv3ie4nlNVH802+LUWtPxw0cYXpVqFt6AXQAAIABJREFUOBLeup/w9oPU/8NfnRDiH4nwQw8Te+VVUCrZPtOYMZ2iz38GpCSy/I+E/uvbMDQElsAgdzqps2dXlitRVNahb/oYPP4zaD3gGiQZz1IjLSfbDTPCSk/CUAhrZNxFoChGGDbCCZOp6JnZJ1rGsmtVxjoKpH+KwnEUK/90gG1rOvH6Dba+0J7TmIloJ4v0ARBucFciIKpp39qPYbmUvuJft9O2qT+D4CHRgjsFq9bPrHc38MjDmY3Uk+fus9n/bAcVHyimdlEl5dNL6NuV7aKpnluOVexe4+TrG9n78KER8gcgPYIFnx5dG+VYUDGnioo5o2cBjUT95VOou2wy4dYhDL9Jw4zaYw62lZ3eQNnpDRkplMeD2tvOIXqkl+jBbjL08yMxwtsOE952mGBbH9WfuDLjPKGNexhem92IJLqnhb7HVlP13guP+5pywd6/n9jqNVnBXWfnLiLPv4CIhbFXp0k4OE7+rlWx3HpRoq4RFl6AfOaX7mnS3DPCtDE9ufLqJcp2kJZb5SV8JeAMIK1oTkM91nAhkcb5ePY/jTW4DkHua3GKy8ib/D9GUVDZPAURizj8210v8Z2Pr+LJX+7i4R8H2d3cg5MjpSwqNCqHMWcqV14hoTO466UOBtrCdO4aZP2vD2ZNhw2yZ7G9+4Z5+T934sujcikMKJ/sVqkaHsmcuyYnyT0Bf52XuR9OBWfrz6xh3l/PxFuVOqavxsOCz8yidtEbI+sTCSEE/vEleCqOrdF6rv3fDHwTq5n8jfdQc9syvBOrcxJV18ogQxv2ZSwLbd2ft+FIdP+xSWS/EdibNudver5vP862xIwj3vpRu7yfqxJbjG/If6I5y9AVdUiJWwcQ/ydIKKFmQ1oKw+MgjSjCimB6h3NqFWnpIXL6ncQmnMfQsq8SnvmB3PIQpo3ffoLK5uswQjk6fI1RFCz9UxD3f28b61ZkNrnQOuF7VxndsBBQPsvHNbfO4JFvNBPpimFpgYc0PxAQHdas/uV+PIYkMqJTlSC/2/LIhl4W/lUDba9nNzsZt7iCSRelApaz75hMSaOfXX88RLgzSkljEbPeP5Ha0zPlk+f99Uymvmsi7U+3MzwcYcpNTaNW475TYBR5qX33mYS2HiB2KLsbF7YitOUgJYtSg6gcpc5FWCf281ehMLH9h0bfZmiQZKqYgMQPWmuU0ikSrq7BPP/i/AeyPOjz3gXP3YcYdGNFGtcToxUwUtvJcJDxjBwhgNAAutiDyNEQXZU1gJVyM4Yn3oKIDeA58hhGtNc9k9eGsjBCg6G6KD30JXqn33dK+PcLpH8KYtua/EGsdCNHKPAgmb+0nvPumMLSW5r41lnPMdiWe6r6+oNHWPqebOvKEplunXQIIVj66RkMtkbY9VgrkZ4YwoRxiyq55Jvzsizcpovrabq4/mi3SFGdjyWfnjsm6y1ONqQvf/8AMWJdyYULGHh2A2owO33UP/+Np7/mQ2znHgZ/uxzV2YFp5UmPnD4VJzyIHhrIkU0joKgYWV+HqKvHPPdCZK37nqjQEPrVFejOVoTXj5i/BDl1Fsw8A900C73xeYgMI3etQQx0gJLxKl2NNF2yzyjoAkDieGsxhzMzujSCWNM5mTegwoSbrkOqIxgDj4KhkWb8muOzFSO6F3PoNeySzIY1YxEF0j8FkS8gCmBaEh2FEm1gaIkW8OxP9rB++RHu/NbpXP65AH/8zOac2Qzde4fxlHsorvMw1O4ODBau0maE3AkQDWdUIA3Bpf85nyWfnMa+ZzuomFTExAtr3hKNmQKgZNEUhl7bnfUHsapLqLh8Qeay+koqbjqX3uUrUYPxoKNlUnL2HEovXciJgNaaoYeeRHV0ARLl6JRMQhzGnDl4zz+f8EAfzqH9uY9jmHju+RtEmu6C6u1C/f7H0OaSswb0tnVw/tXIcy4HfwmcdS0AYver8XMK18+vQUgHw8ptssQmXoKKtWG0bECGe1Al47CbziU2+xZ3AztEUfD7WN3rkbEBtGGCz0g2XXcRr+/VmuLebxDmZiLFt41pi79A+qcgpp1WxbY1qa5D6a+X1xYUeT04IZVUNATo7gjzgw+t4V+evJDSOg8Deax9f6XFuZ+azgv/voNwn40RDxiaGkZ6aouqLQJX1LL6a9sQhmD6TQ2cdlfuvqwFnDiUXzafyIEO+p7fjg65f0ezppQpH7kEUZGd/VR25Rn4F89g8IVNaNumaNF0fDOPXkx3rLB378M5kLKYlWOglEBKjfR78N9yPdbixQgpsebMxVn5Ys7jiBwVVPrFx5OEn0QsilrzPCw6B+lPKZvqinrEQGZXL+247p6sbN+KRuw5V2NbPrAjiOgA2ldB3IQHoHjrN/B2rExdn4pAzIsSIIoS349AWxrtVUhzL0WD30GqdkJlnx79oZ1EFEj/FMS7PjmHza+0sX9rX1aRVVhpfCEHJ4elEYsofvLRtcy/oJYNfzictb5mejFzrxmH6TWYcl41r/18P/sfbyXcHnVz9LWbuulW5mrq6i1WfnojTlyWefsv9zP/I1NZ9OljawNYwPFBCEH9PZdQccXpDK7aifBZlF8yj7pJNXndYVZtOZXvOu8tuR4djmQ3L9cS5YCwirEWLUr2xjWmTkNOaEQdyfb9G5MmJ7dLHuZI7lkBA72weQ0svcj9PTIMfj9YIJQTb6riyjFrG/CkhWKFhlAHYrgTXd4IphdtZqqMyoGdWF3rss9rxaAoBiZoodHFDvh0WoqbwhN+iHDxnWjj5CUejIYC6Z8CiIRsHvvFTvZv70M7iqGeGB37h7MlFTRoNMMoDCFyyi4cCQ5wxV3Tads+wJHNqbL+omoPF316OqbXIDbs8Nr3d7P/+Q5CnSm1TUOksussj2Bw12CGiyE2aLPpx7tpuriO2tMqTvyDKCAD3qZqvE3VR9/wLYYVmIasrY67dzIhhCK2ZhXWmcsQUrrW/uVXEFn+APSlgv9iwgSsK6/OPvhonetl/G3sPoz15+8huw8lSsvRUictfOFRSFMnxyUhAGcY/wvfYPj6H+Q8tNm7DalGxEH8EURVJJnzqH0a/CMGOwFSDmCFnyNafEv+az+JKJD+GEdfV5iv3fkiwfXutNXCJXNnpENXuymYAoGWYLtN5DARmdk8GravaOdDDy/j1Z/to3PnIFXji5l7yzjqA65I04rPbqL5jy3puwApY0Z6BNWTfAzsze6Hag857Fp+qED67yAIy8J34dkM/+kpiKS7DRUMdxF96EGcXTvxve8Ol/Rnz8VoaCT2ysvooSFkTS3WsnMQnuwAtWicim7NkRFUUY1Y4HYpM9c+6BJ++n4CtL8I7bgzH+WILLE2OXAI76pvQ3EdsQlLUNWpzmZO6Uy08CB0/H6EQpRHMn2pHuVmzZnuv8QtCxsMtYuxigLpj3H89+dfSxJ+oqVhLlgJctfEiT7eAhCNJ626ytKS3pYQ3hKTCz85HchU9htsC7Pvuc6c5/CUmsy4fhzTrx7Hzt8dyEn6AGo0KYUC/iLhv2AZRk0VoSeewTlwACE1hukg41IGzpZN2K+vx1rktt2QZeV4r7zmqMcVF12LbjsMB3enFhYVI8+7CuHxglKIttxN1oU9CJYE20Kj0UIhTFffH6kQhsJ78HkAPDsfJtZ0LuEzPgFC4lTMJlZ1Op6uNfFzxjJa+up41o4ycDMdEqOJAdrQaJE7ZjYWUCD9MQrHUfz7Z1byyuOHkkSfPtFNyCMA8abmAqHBh8RI29JB4Wi3aMXSbgvE8vr8Oe/dOwcJ9+QurkHCeV+ajbfMondbH/ufaM25zfhzTr7LoYC3H565AdTm17A7dudc7+zamSR9NTiAs+oF6OmEomKMM85B1rt9DLRyIBIGrx/pL0Hc8bfo9SvRbYfA60csPBtZk+gj4H4FbmMckRJPEwrp1W6zlMSXoiU6JlAiimFlZhcJJ4K1bwVOxTRiM9xsoOGZf421fgMiEk2z8N1qGO1xUJJMwk9ACoTI8W2MERRIf4zix199jScf2I2hBQYCy62JJUZcKjbevzZdL9M7gvABDCSG1snBwPQIFr+7kXyomV1KUa2H4Y5sS6W0wY+nxH1l5t0zlUMvdNC6KjNbYvKV45hy9duv+FjAGMFoPvi4MJxqPULsDz+DzlRFsNqyAXnVzciOI6jmjTDQB+WVyDmLkOdfiVxyQfbxlIPYvxntr0b39pIhPKUlKiIR3mjc9a+TllJSwmIEBGC2bUiSvqf/WYyifrQPt/tWPItBG9qVnPUCeSStJblny2MBBdIfg9i8to0//tIVLHWExkHjaI3GSMt91zgafPHBIGHt54br67f8kmu/MJtFN+Yvby+q9jL1ynq2/Opg5hEMmHnD+KRuu+k3uOL/lrLpR7vpeL0XaQjGLatm3genHJO2ewF/mTACs7HXv5adzSMlxux5ADjPPZ5B+AAMDaCeuB/CadpM7SFUewtojXFhZpBX7FqLXP0wsst9T9Ob4SShJDpmui0P3a3cT0WN8n46qYY50u4HNMLUcWkdV2xNSZuk/zQPtBhddvtkokD6YxC//v5mYiMad1tCZmTiSAVeTMxE8Da3OkgSpkfy8YfOZuIIyYNcuOjf5mJ6DfY+08ZQe5TyJj8zbxrPkk9mSglbRSaL/y6Q5ygFvBNhLjgNZ9cO7NfSRNcMA3PpWZiz56AdB3U4VxqmRoQGc1TqatTWdcjzrkgVbfW1Yzz/K8RwWvaPyB5nAJQS8YwzdwMhQeMFwuRibVWeqlK2i2e7vXcNnXldlgYjLvngaDetbQRseVaOexwbKJD+GMPalUd4ZeUhwrjNyk0kHmSGFS8UFGONcOUId6qZw/qQwNQzqmg6xowaw5Jc+LU5nPvFAJF+G3+lhTxKD9wCCgC3hsB787sx5i/A2bYVv99LbOpMzBlu7Ub+EH8O2eMEertheABK3fdXbn42g/BT584m/lyHVEV1iOnT0DtXZCy3y6cQDdyc/D1aeRGqpRxDxbV9hHIZ09Rulo4JIgrak0b8GqLGlUTND+S905ONAumPIbzw9D6++vcvMxyxk2+ro10ffnro1YeR5btHQEjZFI38k2rwakl38xDfOH0F42aXcvaHpxK4uPao12N6DczaU0cytoCxASEE1sxZWDNnUTOi56swDGTjZNS210fuhRYCoTOtFiEdhDcGy38IlbVw2gWZLqCjXYuZOF7aaFBUgXXJ5+n3N2G0bYTYIMIyiDWejfamuWWExPFPwRjqQVvKtfAFSGWghzTao5F+jY7EM3YApcYTrvr6MV/fyUCB9E8ytq5v59nH9yGAV1cepqdrREGIgJhWOCjM+EQ1n+/eERBzHPzSiIuUCHxC4kUy3OUGZvtbIhze3M/7frqIKcsKWTYFvP0wLr4G1dEKHWkZLiVliLo62J9Kv5Sm7QqlKQda97n/9jfDjDnHcBadoawJxCV5JM6ksxDSIDrtWop61mIO7kKGoni2bUbtuo/oxMsJB+52Sd87DR1a64pQpWf7ICAK2tQIC0Q8bKDMLoTTijbGMVZRIP2TiP/68moe+k0z4ZCDRmPHrRGhwYuRTMuUWuDBwETibpkf5RjUKA8OGhtwdPaUeqgjyqs/218g/QJOCmTdOKwPfgq16gV0TycUl2CccQ6ivBLn0fvQO7dBaABp5XDPDA+gOjuQholwMiXAtQBdVo2IDIKIuJ3NhARlg1bo0nrs6edhz7kK1bWD0uf+HiOSWUUso/34dv8BX/djDE++g+HqW/EML0eKCCMhEOiYcGcA8fPjj+KJ/Q8R40sn8ImdWBRI/yThpT8f4IFfbsMeoZhpaIEfM075LtzKcomFgYVbGOIGbjM/CVNDZbzBnIFAogmT24/avf/ozaULKOCtgiwqRl6cLbtg3nQnarAfNq5ErPxjjj01RvcOhB7ZHStu3SiFffnHYfJ87HiQQAy0w1AXunoKWK6j1FnzgyzCTx1KIkJ9lOz9Dk5rI7rMxNWZzXk5SSgLkBLJ2G6oUojOnSS88OT+DMJPqOS4ufYjlAYFhLGTNr5AYPikmxKt3ZmBRwvGK8+IwULkHdWLq/JrshdQwMmELClz9fJldjxJmg5SOIny9FQzFinctM2+PuSfvof488/dat3DmzC2PIaxdzUiXjQmBw6g2za5CpxO7qwflPs9mqFDyFjuynNwfflKguMB5Yt/ezJXu8axg4Klf5Jgx7LTbAztZuvk3B6NcjP1QYDHMhAh5Q4W2pVhyBJgI3f2grQEc68duz7HAgpg3GSYMBUOjZBYkKOl58SNIuXA1hcxoy0YHdsRynUDmc0rcAIXI2rLIRJvr4UAR6OlQphpxzFTxC2iBlhOlomsFTilAu1nRLVXZsHiWEOB9E8Sauuzdc/FUSdeqbQw3a9SGTzC1brvxsHQUJTWaVoDpfUehrqiKBvKJ3hZ9N4mlr5/4gm5jwIKeKPQ0QjqpSfQh/a4ufMNUxDnXYn0pX0TQsDF74Enfwnt8UJBIaGkAsJHJ1VpOhhtmzPGBKFiGM1PY3bHCxpTa9xCLke5OfmeGMJSrsXuc9ypdEy4VlmajpXygS4aMSsHtMwjYzJGUCD9txkbNrTyyx9sZOMLbRlZOK4gFJRWehnszpZAMNPcPlZcmmEktIBBFEXaJX0HzbjF5dx9/5kc2dTPQGuYwKV1+Mqst+juCihgdGjHwfndj2Ffyu+tD+xGH9qDeP8nEVaa23HcJLj9n2DrKhjohvpJKJ+FfOw7iFimj11rIK3SVppOzlmu4YlgRHOJoblV7fiiSJ/jzpqVBKURXuVq+tjCTc00NcqvcSrdfH3XxeQWCWgDEP7jf0BvAwqk/zYhFnO4+/aHeeyRHRSHrCw3jkAQmFfFZ/71TL7ykZfo7ggl10kN/oT1rt0gbS5XDkAMjfRJius8zLl5Ahd9diamRzL17EKmTgEnH3r9ygzCT+LgHvTaFxBnX5a53DBhwbkZi9TSm5CvP4kY6nWPGRdbO3qIUiOkQjluR6AsmSCpMXwJFge0hJBwXT9e1x2rhCY2wRVrEwAqKfnm7mOB1kevgTmZKJD+24TvfnsNDz6wHa8y8vrtIyGHBWeO439XXMvn/2oFe5t7ERr82sSK75OaXWZn7wCYlSb/uPVyDKMQoy9g7CFvJyxAtRw4pswStfBq1KzzETtecT+I/c3IXRtIZDUIqaDIB3ZahppwkL6EZo4BaJRWSelnGFHI5bMhkeOfFn6TtkBEccXWEvuRtpkGZRVBZjbpmEKB9N8mvPzSgdFq0F3E356SUg+Ll44n0mYz2BvFkBIVU0kLX0EqqJu+uwG3/NPcAuEXMHZh5c8aE6Osy4K/BH3a5e7Pcy9GPPlNjPYdCBV2vwo7Qiq1RyN9dgbBJ/z4ijR9/aIYoKE4mrTsE9C4bh2k69LRrtRthsS5NsDxgcYskP47Hc88tZdd23uQQAwHGydZXZuO8HCMB3+2jfZtQ6z47d7kclup+NvldsJCQFQrLMAUbupm/bQSrvr4DM7+q0Jj8gLGLsT8JeiNq2CETx7DRMxdnHung0HYvx28flhwvvt/Gsx1v8ds3TjCBIrLYBo2wtAjCD95NfHqRwdRHHa3MRV4MglfCQVFcd0dAWZIo6Ngl4C2EmmaIp4MpNHO1GN9HCcFBdJ/i7F/Xx9f/ucXiEbd9EoEhLRN0ch8fA0dh4f53hfWMN6bW5ZVkXLraAFVU4r43G/OQxpQ1ViELEgaFzDGIZumwnlXol5dAaG4ho6vCLHkAuS0EfIKyoHHfgq7NiAcNyNGb1gBF74XZi5yt3FiGPvX5olwCaSlkGaanz57E2RxFOmJF3dZTrbwm1+Blb6LQDhgDmjsMg0ed2atAaWn4MRuO+bncTJQIP23GPf9agvtbZnVrxGhiOkIPgwsJF7t0r9bcSuwI7mFuj1+g4Xn1COlYPqiaq768Aw8/oIgWgGnFuS5V8D8JbBxtWvEzF+CrMwR/Fz1KCK4JmOR6O9Cv3A/TJkLlhcx3IsYHKVhiUpFwXIRv5AJnZK4RKfKNMS01HlZUigwwuBYGi0EjjGXWPQrwNiugSmQ/luMrs5QzuVKaIxiiW/AQCLwpilnKnROUbXapiI+8/OzMQoyxwWc4pDlVXD+VaNvdGB7zsWirx29ZSUsvBjtL0cXVSEG23Nuq2ISaWYXVrkHAmHZYBtoj3IbFIVNtM9OWvva7U6UF0KDiGqivmuI6q+Mfj9jBAX2eIvR0Fiad934muK4VIJEAzYKJRROnojv0isbCoRfwDsHOfPpE+vixpTpwZmUJxaARgiJctyfEw7S5M+mQHhtkBptCzc460km3gMC4cj8Qdn4wGDrxUTlv76xezuJKDDIW4jnVuzj1ZWHcjaHmDy1gpvfPTsZ/Xdw2yLG0AwRI4YT74YLdROLuf5jAW79x/lv6/UXUMBJRV1TzsXa44PpC5O/20vfjz3nClRxDQCqqBJVWgumBOHKK0hTIwyNMFwfvzQ1UtvgSGSRjfQ4CMMBj53ZMB0BEZmVeadxC7G0AOHZCuLYNf5PNo7LvRMIBPzAr4E6YAC4MxgMdozY5kvANbjj5KeCweCaQCCwCHgESAhq/CgYDP7+eC9+LGPT6238898/T2dHpj/fMATnXziRT/7dUgwluO/bm3HszDdKCU0IG0NL/vY/zuSimyfjLSp44gp4h2HJFejDOxE9qX66GmDWmVA9IbWdNIgtuxvOuBUx2IEurgZPEbJlM55N9yEHg0A0T2cukfpfaFdqYQRkxEApgSp1ECLeZ1eCNt1/GGEMz7/jRL92wm79rcTxMsnHgM3BYPDLgUDgvcAXgL9NrIyT+wXAmUAT8CCwBFgEfDsYDH7rTV31KYD7fr01i/ABHEdz/sUTmTu/lh9+aW0W4Seg0EwJlHPpe6ZiWoUJWQHvQFRPgBs/iV73NHQeBo8Pps6HhZfk3t7yoSvjswMnhmfnw5i92xBCkSND2g3tJoXVhBvEzVNLI2yBU6KTVbgINy8/0VxFmKthFG/UWMLxkv65wH/Ef34C+GKO9U8Hg0ENHAgEAmYgEKgFFgOBQCBwA661/6lgMDjAXyBaj+Sf7h3Y1w9ANJy/gkNKwS0fnV0g/ALe2ageB5ffkXudVhgHVyP7W3BqpqPq5yfVLj3Bh7BaXotv5ypiihGfklMxDVHWD6FETYyEmAFGtjSy8rlpm9oQKKlQXve4MgzKIxCMbZG1dByV9AOBwAeBT49Y3AYkOhMPAOUj1pcB6R0KEtusAX4aDAbXBQKBfwa+BHw237krK4swzeNLSaytzR9AfTvQ2FQOHMq5zusxqK0t5ayLJvLIr3fm3kYazJpd+7bdx8l+XvlQuK43hrF4XW/FNaneI0Sf+nd0y3Zc9rWQExdiXfl5pK+EaP+ONPUEiVYKrePN14U7NljFDka0nZRqGhCWaMNxZZaF67tXfk2syRVEtItttJdkNNSJyyobopGKE3Sfb/Xf8KikHwwG7wXuTV8WCAT+CCSurBToHbFbf9r69G2WB4PBxLbLge+Pdu6enuPr7lQ7ohnz24m21kF+9+ut7N8z8pG4kBp+/6OtHNrez3vumsO4CcW0Hsls0mBogSdm8PC925m4oOwtv+aT+bxGQ+G63hjG4nW9Vdfke/Y7mC3bUgtUDLVvDYNPf5fIsk/ii9hkasm6wVhXPsFBWDYytA1knPA9rtaOkICW6JhC+Rwod7BLQEZAC40pIJauFmGC1prwwGcJD7z5+zxRz2u0geN4fQcrgUSvs6uAl3KsvyIQCMhAIDARkMFgsBN4KhAILI1vcwmw7jjPPybx0APN3HTNA/zwu+tY/2orXm24PR/i/0wtKNMeTFuw9pkj/MP7n6G1ZRBDC7xaYsX/JRQ1B3tPESdhAQW8jRD9RzDac+fwy9at4MRQ1TPy7O02SBFFUVeYzT0iRC0YttARiYqablEWgAGGDUYUzIjA02fga8lM4xQCpJn7esYijten/yPgl4FA4GXc8MVtAIFA4D+AB+KZOi8Br+IOLH8T3+9jwA8CgUAUaAU+/GYufixhcCDKd/9zDZ3t7uxEQLyZuUBphQ8T78jHrcEXV9AUiHg7RJFM4Rw3KbccQwEFvJMhQr0IJ3fPWmGHwIkSnXULRvs2zI4taWtdFU7DoxLy95kZPVpCVCKkQngMVFSgZbYuvxEVeHoE0dq0qK/oP1G395bjuEg/GAwOA+/Osfwf0n7+MvDlEevXA2cfzznHOh78w3YOH04Fbx0UTpzAfVh4c6QPFGHiSVuekErWgGFJrrpn+lt92QUUcMpBVU/DKRmHMdiava6sEawiEILQBf+CtfNxjI4tyL79SGcIKUKuRRYz0TGNNhXCO0JvRzpoodHFTs6sHwAZSelrau1D26cOrRVSQ04QwiMycZx4T1vIUwGuyam0Ce47aXklFTVjuwNPAQWcFJhe7OmXoGWm116bfmIzr0iZ74aH2KwbCZ/3BUIXfR1dOQFphOKmVbzpim2iw2m2ry8KFVHwO2AdTQvdhYpdglanTuFkoeLnBGH2vBoMSxCNNzx36dxVxLTRSNJ62uJa9aONuJXjfHh8BTG1AgrIhdjcW9Decsz9KxHhPlRxLfb0S3Eal2RtKwZbKHr5a1jR3Yhcn5QjUY5GlkagJE2nRyQcrjl28WiIgjKKcUKnhuZOAgXSPwFoaRnga19eSdRWyTfEERDWihJtoOI/W+ik/16hsVFYeaz982+cVJBKLqCAUWBPvxR7+qVH3c7T/CDGwAHw5dtCuFmbHieD4VURSVn+9C/R8YBdLhFKIGQMRB/oU6cdaYH0TwDu/clGdu/uyVruoIniuAFcATGtqdBuQNcN1qqcbQ8XXjCO93563tt09QUU8JcNo2cPyYYpIyEdRHkY4XXANsGON1Lxane6bgoiJRojQrwVIjglgCHQWuPmbFo5Djx2USD9E4C9e3Pn5CPA0XrE76RZ9wYKlSwiqW0o4tYxXnO0AAANVUlEQVTPzuPi94ztzjsFFHDKwA4jw/+/vbsPkqOu8zj+7p6HnX3KZsPuslESyBHvGyAlmBMIIQ94J09GT1EoMEioFOQ0cl7pUcdxZQiecKg5vDPq+XBcuAIhlVKMHqcnXGGVVnjQlBI05OCnSAgKZtk8bXY3O7sz07/7o3s3s5OZZLenZ3eG+b7+yUx3/2Y+me35Ts+ve36/XsDDBudexw2oNlrwLf7oaTgw4kLOAy9HtgFsyiXbOO4yH/Asjuvgeafi/xa1dmjRj0Bra+m5PQvnsS3k4o51If7FNX+iBV+piCT2PkGD2Yo7chAn6eEWnkRLZI8v+KNyLs4bMbwuj8KR2hyCYZitxcv8ZYX/F9HTq3cisHzFnKIj+LkWmkmQCHam0fvFNLbEufj9xYeSVUpNjjPwOqnd/0ns6D5wrT9DVqFEMMZOYcH3HwEnG/MHVSv2+Dh43jy8bIlxgaqYFv0yPf3T33Pv+p+RyLk4eftVzDq02CSx4MStY6HNNhAv8pK7Mbj8xjOZI4VDGCmlwki+8hjuiD88mOM4xS/BGY5D8ZlJ/XYZ178iowgLZIZvoxY7S2ovcRU5fHCI29b9mMGBDA3EaLYJstbfixqJj52gdXBI2RhtHN8N1NQa5+P/cgGLV542pdmVejNzMvnjdjnFp8jNxfByzbixEmN8WYgd9a/WKeTlzgV7wfEraoAe6Zfh4c3P039kBIslh4cLNJGgicS4K3KstXjAENmxH2wBzOhMcuu/L9GCr1TEcjPHnxuznost6OGxOByddSPZxjOLPoZtzJHosbiDHLvyx1rIJshk1kcfeopo0S9Dz76jwdU3/o84RsZujZdMusQdhwEnw0HS9DNC01sTfGX7Ss5d0T31wZV6k8ucfinZWeccW2BdbNbFyzlYDyxJhuavZvhPP0Lf2feT7ngvuXj76KZ4LVlyczN4MyyJNzwSb3i4hz3cfg9v8DLgjGn5f0VBu3fK0NHV6Jf40QmS8UjbLEk71pMPDsx+awvt7Sl6XxvCcWHhO7tY+w+LaJ5RW9f3KlUz3ASDi+8g9cK3iPU8i5s+iOONgAfZmfNp+LMbGG5dFGwbZ3De7Tgjh4gd/Q0NdiOOswebAi/udw25GYhnwWZgZNYANTRnynG06Jdh1ZpzuP8bz5HN5p0NspbYaMHHH2PnD3v6icVdHv31KgaPpkkkdXgFpSou2UL63HX+bWtxB/4AXhZvxuk0dbVBwbj1NtlONnkh7vCf4ybvx6bw+0Ic8Dzwhi1eDJzY3pou+tq9U4aOrmY6usYPipYYu15n/Hmjvb/t478eflELvlLTwXHwWufgtc07ft7EAl4q7Rf8OGNFnxh4jQ4kHCy1PeS5Fv0yLTp/9rj7J/opVu++cDOBKaWmTozHig+pHLy5vexFU5onalr0y7T2E4uYd+bMsfulLvt1XTjnHZ1TE0opFZ7tK3305oCXvXZK40RN+/TL9DaZxTcfWsmD9/2KvXuOQM7yynOH6S+Y6vAdF3Vz2VXzOXBgoMQjKaWqgTts/RE2i4+pDDXevaNFvwx9h9MMDmbofksLt//j0rHlzz79R7Z+czcv7T5AMhXnvMWncssd5+tQyUrVAHeoCa9lgCK/pcTLCiWn06oRWvRD6Nk3wGc/s52fP/M6AwMjLFhwCtevXsg1154NwKIls1m0ZHYw9GrwM3ClVE3ItTSTfO0ImVMdbMrxO8GzFidtybofm+54ZdOiP0GHDqXZ9M8/59lf7GPP3sMcHTo2PeKuXb3c9Zknmdme4tLLjv0SUIu9UrUnO9PFtR7J/f54Wl7S4sUs2U6Lk9mDzSye7ohl0aI/ASPDOT625n/Y+ct9x35zW1DPBwczfPfbL44r+kqp2mO92WQ7fk92loebBhsHmwRrG/HS5013vLLp1TsTsPXh3ez85b5jC0ocwO/7o56kVarWeZn3Y20KXH/KRJscXb4EvLOmN1wE9Eh/Al58Yf/4BSVmS+7qbp6SPEqpyrGZ95IjjZvchuO+irWt2OxicunbpjtaJLToT0BLS8PY7WDGteM0NSf44NULpiyTUqpyvMzVeJkPBZOeN1H0Up4apUX/JLZ9+wV+vbMH1/XH3/BH1bH+MK2OP5PagrNO4cPXL+SKK4sP0aqUqkUO2Jkn36zGaNE/gfu+9iybvriDkZHxv7N1cejububqDy/gfVcJc+fOIBbT0yNKqeqnRb+E4XSW72x94biCD3DanFa2/fBqZrY3FmmplFLVSw9PS9i9u5dX9vQVXdfXN8yJh1ZTSqnqpEW/hI6OJhqbin8RamlN0tioX5KUUrVHi34Jc09v4/wLZhddd+Hit9CQ0qKvlKo9WvRPYMNdy1l0fjdu8Colki5LV8xhfd7gakopVUv0cPUE5p7RxpZHruKJx19mz8t9LHx7J0uWnqZj6iilapYW/ZNwXYfL9Pp7pdSbRKiiLyKNwENAF9AP3GiM6S2y3Xzg+8aYhcH9DmAL0Ai8DqwxxugcgkopNUXC9umvA3YZY5YBDwLrCzcQkRuArUBH3uINwJag3U7goyGfXymlVAhhu3eWAhuD2z8C7iiyzSFgBfC7gnb35LW7B/jXUk/S3t5EPB5ulprOztZQ7SpNc02O5pqcasxVjZmgfnOdtOiLyE3ApwoW9wCjv1zqB9oK2xljfhC0z18842Tt8h06FK7np7Ozld7e/lBtK0lzTY7mmpxqzFWNmeDNn+tEHxwnLfrGmM3A5vxlIrINGH3UVuDwBLMcCbYfmmQ7pZRSEQjbp/8U8J7g9pXA9gq3U0opFYGwffpfBx4QkSeBEWAVgIhsBB4xxuwo0e7uoN1aYP9oO6WUUlMjVNEPLrO8psjy46aWMcZ0593uAa4I85xKKaXKp8MwKKVUHdGir5RSdUSLvlJK1REt+kopVUe06CulVB3Roq+UUnVEi75SStURLfpKKVVHtOgrpVQd0aKvlFJ1xLHWTncGpZRSU0SP9JVSqo5o0VdKqTqiRV8ppeqIFn2llKojWvSVUqqOaNFXSqk6okVfKaXqSNg5cqediDQCDwFdQD9wozGmt8h284HvG2MWBvc7gC1AI/A6sCaY/nHKconIncBKIAt80hizQ0TOA74RLPsNcLMxxquCXF3AfUA7EANWG2N+N9258tatAj5hjLkoqkzl5Ar+jl8BcsAw/uvVU2YWF/gacG7wmDcbY17KW78W+GiQ425jzA8qvZ+XkWsucD9+7XGAvzLGmOnOlbduOfCwMWZOlJnC5hKRZvw5yecBSfx9vdQc5BNSy0f664BdxphlwIPA+sINROQGYCvQkbd4A7AlaLcT/0WeslwisghYAVwIXAf8W7DqTuCzxpilQAN+MamGXBvx3wTLgzYLqiQXQYG9Cb94RC1srk34b8xLgG3A30eQ5QNAKvhgux34Yl6ObuBvgIuBy4HPiUgDld/Pw+a6C/hq8PrcA3yuSnIhInOAW4FEBTKFzfV3wPPB33EtIOWGqOWivxR4LLj9I+DdRbY5hP/GnGy7SuZaCvyvMcYaY14F4iLSif/GnCUiDtAKZKok18XAaSLyBHA98JNqyCUipwCfBz4ZcZ6ycgHXGWOeC7aJA+kosxhjfga8M2/dBcBTxphhY0wf8BLw9gnkj0KYXLcCPwy2ier1KTuXiKTwv2l/vAJ5QufC/wAYEZHHgTuAx8sNURPdOyJyE/CpgsU9QF9wux9oK2w3+rVNZNyH44yTtatwrhnAgbz7o9v8Fv9ocX3Q/idVkusM4JAx5t0isgH/yHXDNOeaBXwheKyhMFkqlKtt9Ou6iCwB/hpYXm4+xu+zADkRiRtjskXWjWaNbD+PMpcxZj+A+G/Ke/GPfqc9F/BV4F5jzGsF9WK6c3UA7caYy0VkNf5rtrqcEDVR9I0xm4HN+ctEZBv+ETHBv4cn+HBHgu2HJtkuqlxH8tbnb7MJWGaM2S0it+B/9bulCnIdAB4Nlv038E9hMkWcqw14G35fZwo4W0S+ZIwJddQf8euFiFwLfBpYWew8UwiFz+UGheJEOSLbzyPOhYi8C79v+4ao+/ND5hoBlgHzg/M0s0RkqzHmumnOVez9d3u5IWq5e+cp4D3B7SuB7RVuF1Wup4DLRcQNTmq5wdHPQfw/PPgn3tqrJNeTee2WA7urINcOY8w5Qb/wdcD/hS34EefaLyIfwT/Cv8QY83LUWURkMbArb90OYJmIpESkDTgLeH4C+aclV1DwNwFXGGN+UYFMYXLtMMaIMeaSYJ86WIGCHybX81Tg/VcTR/olfB14QESexP+kXgUgIhuBR05whvvuoN1aYP9ou6nMJSLbgWfwP3RHj+ZvBraKSDZot7ZKct0K/IeIrMP/+lktr1elTTqXiMSALwOvAtuCboKfGmPuLDPL94BLReRp/JPWa0Tkb4GXjDGPisiX8Yu6C3zaGJMWkUrv52FzfQn/KpQHgtfHGGOiPsk86VwRP39kuUTkHvz33zP45/nK6toBHVpZKaXqSi137yillJokLfpKKVVHtOgrpVQd0aKvlFJ1RIu+UkrVES36SilVR7ToK6VUHfl/GAWgZJMO/DQAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(Y[:, 0], Y[:, 1], c=ess_targets['y'], cmap='plasma');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare this with what a linear PCA finds:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = decomposition.PCA(n_components=2, random_state=gen).fit(ess_data)\n", "Y2 = fit.transform(ess_data)\n", "plt.scatter(Y2[:, 0], Y2[:, 1], c=ess_targets['y'], cmap='plasma');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or a KernelPCA:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = decomposition.KernelPCA(kernel='rbf', n_components=2, random_state=gen).fit(ess_data)\n", "Y3 = fit.transform(ess_data)\n", "plt.scatter(Y3[:, 0], Y3[:, 1], c=ess_targets['y'], cmap='plasma');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sklearn LLE class also provides some variants of LLE that can perform even better on this problem, for example (note the larger `n_neighbors` required - another example fine tuning):" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = manifold.LocallyLinearEmbedding(n_neighbors=25, n_components=2, method='ltsa', random_state=gen).fit(ess_data)\n", "Y4 = fit.transform(ess_data)\n", "plt.scatter(Y4[:, 0], Y4[:, 1], c=ess_targets['y'], cmap='plasma');" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }