{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make sure you deleted all old version of `dynamo` and installed the newest one from github. The version I used to generate this tutorial is `0.0+89e5bb9.dirty` (see below). `dynamo` is still under active development, but it will be submitted to `PyPi` in one month or so. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"'0.0+1ed7a32'"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.core.display import display, HTML\n",
"display(HTML(\"\"))\n",
"%matplotlib inline\n",
"\n",
"import dynamo as dyn\n",
"dyn.__version__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dynamo supports a variety of experimental setups"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"| Experiment type | Estimation method | Description (has splicing data) | Description (no splicing data) | Parameters suitable to estimate |\n",
"| --- | --- | --- | --- | --- |\n",
"| Kinetics: multiple time point labeling; lasts several hours | stochastic (moment equations) | using first/second moments of $uu, ul, su, sl$ (`unspliced unlabeled`, `unspliced labeled`, `spliced unlabled`, `spliced labeled`) to estimate $\\alpha, \\beta, \\gamma$ (`transcription`, `splicing` and `degradataion rate`) jointly.| using first/second moments of $U (uu + su), L (ul + sl) $ (`Unlabeled` or `labeled`) to estimate $\\alpha, \\gamma$ jointly.| $\\beta, \\gamma$ |\n",
"| Kinetics: multiple time point labeling; lasts several hours | deterministic (ODEs) | 1. use $uu$ over $t$ (time) to estimate $\\beta$ 2. use the estimated $\\beta$ and $ul$ over $t$ to estimate $\\alpha$. 3. use the estimated $\\beta$ and $uu, su$ over $t$ to estimate $\\gamma$ | 1. use $U$ over $t$ to estimate $\\gamma$. 2. use the estimated $\\gamma$ and $L$ over $t$ to estimate $\\alpha$. | $\\beta, \\alpha$ |\n",
"| one-shot: single time point labeling; short time | deterministic (ODEs) | a. if $\\beta, \\gamma$ are already estimated by a degradation experiment, $\\alpha$ is estimated by $ul$ over $t$ and $\\beta$. b. if $\\beta, \\gamma$ are not estimated, use $uu$ over $t$ to solve for $\\beta$ first and then the solved $\\beta$ and the $uu$ over $t$ to solve for $\\alpha$. | a. if $\\gamma$ are already estimated by a degradation experiment, $\\alpha$ is estimated by $L$ over $t$ and the estimated $\\gamma$. b. if $\\gamma$ are not estimated, use $U$ over $t$ to solve for $\\gamma$ first and then the solved $\\gamma$ and the $L$ over $t$ to solve for $\\alpha$. | $\\alpha$. |\n",
"| degradation: pulse-chase; can chase more than 1 day | deterministic (ODEs)| 1. use $ul$ over $t$ to estimate $\\beta$, the estimated $\\beta$ and $ul, sl$ over $t$ to estimate $\\gamma$. 2. use the estimated $\\beta$ and $uu$ over $t$ to estimate $\\alpha$. | 1. use $L$ over $t$ to estimate $\\gamma$ 2. use $U$ over $t$ to estimate $\\alpha$ | $\\gamma$ |\n",
"| no metabolic labeling: regular scRNA-seq data | steady state assumption: $\\frac{ds}{dt} = \\beta u - \\gamma s = 0$ | assume $\\beta$ is 1 and then estimate $\\gamma$ by using extreme data points of $u$ (`unspliced mRNA`) and $s$ (`spliced mRNA`). | None | All parameters are relative |\n",
"| cite-seq/reap-seq, etc: RNA/protein coassay | steady state assumption: $\\frac{dp}{dt} = \\eta s - \\delta s = 0$ | assume $\\eta$ is 1 and then estimate $\\delta$ by using extreme data points of $s$ (`spliced mRNA`) and $p$ (`protein`). | None | All parameters are relative |"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"for details related to moment equations, see the full derivation here: https://github.com/aristoteleo/dynamo-notebooks/blob/master/full_derivation.pdf \n",
"for details related to others strategies, see the https://github.com/aristoteleo/dynamo-notebooks/blob/master/velocity_demo/dynamo_fitting_demo.ipynb \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We used Gillespie simulation to simulate the cell fate bifurcation. Details can be refered to `supplementary figure 1` of our preprint (https://www.biorxiv.org/content/10.1101/696724v1.full). \n",
"\n",
" \n",
"\n",
"We first simulate cells to achieve a progenitor steady state. Then we simulate the bifurcation of cell fates into different terminal cell states because of drug treatment or external signals. Next we simulate a metabolic labeling experiment and synthesize kinetics experiment data at each checkpoint. Finally, we stimulate a degradation experiment at the begining or end of the cell differentiation experiment. This setup is typical for a labeling experiment. \n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration 48/50 finished.\r"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Observation names are not unique. To make them unique, call `.obs_names_make_unique`.\n",
"Observation names are not unique. To make them unique, call `.obs_names_make_unique`.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration 50/50 finished.\r"
]
}
],
"source": [
"# Gillespie simulation of a regular labeling experiment for a cell fate bifurcation process. \n",
"\n",
"adata_dif, adata_dif_nosplicing = dyn.sim.Gillespie(method='differentiation', verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Now let get the kinetics experiment data at check point t_5, the degradation experiment at the beginning or the end of the differentiation process. \n",
"\n",
"adata_dif_kin, adata_dif_deg_begin, adata_dif_deg_end = adata_dif[adata_dif.obs.experiment_type == 'kin_t_5', :], \\\n",
" adata_dif[adata_dif.obs.experiment_type == 'deg_beign', :], \\\n",
" adata_dif[adata_dif.obs.experiment_type == 'deg_end', :]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/xqiu/.local/lib/python3.6/site-packages/dynamo/tools/dynamics.py:159: UserWarning: protein layer exists but protein_names is not provided. No estimation will be performed for protein data.\n",
" 'protein layer exists but protein_names is not provided. No estimation will be performed for protein data.')\n",
"/home/xqiu/.local/lib/python3.6/site-packages/scipy/sparse/_index.py:118: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n",
" self._set_arrayXarray_sparse(i, j, x)\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let us show Dynamo's fitting for the beginning of a degradation experiment\n",
"\n",
"adata_dif_deg_begin = dyn.tl.dynamics(adata_dif_deg_begin, experiment_type='deg', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_deg_begin, vkey=adata_dif_deg_begin.var_names, unit='hours')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"from above, we can see that the fitting for `ul` and `sl` are very good but the fitting for `uu` and `su` are not as good. This is because degradation experiment is ideal for estimating $\\gamma$ and $\\beta$. Note that in real experiments, degradation experiment will chase for up to one day or more, while $\\beta$ is often related to just a few minutes so in order to enable accurate $\\beta$ estimation, the degradation experiment may need to include a fast labeling period at the beginning, for example including labeling period that separate by just a few minutes or so. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Trying to set attribute `.uns` of view, making a copy.\n"
]
},
{
"data": {
"image/png": 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mVrBcEJmZmZmZWcFyQWRmZmZmZgXLBZGZmZmZmRWsrBVEknpJek7SW5LmSPpeFescKWmFpJnJ4yfZisfMzCyd85SZmQG0yeK+NwCXR8QMSdsC0yVNjoi3Kq33r4g4MYtxmJmZVcV5yszMstdCFBGfRMSM5Pkq4G2gR7aOZ2ZmVhfOU2ZmBk10DZGkPsB+wNQqFh8iaZakZyXtU832YyRNkzSttLQ0i5GamVkhcp4yMytcWS+IJHUEHgMujYiVlRbPAHaJiEHA74EJVe0jIu6KiKERMbSoqCi7AZtlkaQtHmaWW85TZl9wnqq7Ll26bPF+pU936dIlxxFabbJaEElqSyrJPBgR4ysvj4iVEfFZ8vwZoK2krtmMySyXIoKI2OK5meWG85TZ5pyn6m7ZsmWb3quqHsuWLct1iFaLbI4yJ+Ae4O2IuKWadXZK1kPSgUk8S7IVk5k1Pz7zZtniPGVmZpDdUea+BJwD/EfSzGTe1UBvgIgoBk4Dzpe0AVgLnBk+FWFmaSrOvFXH3TmsAZynzMwsewVRRLwE1PhLJSJuA27LVgxmZmbVcZ4yMzNoolHmzMzMzMzM8pELIjMzMzMzK1jZvIbIzMzMzKxFi2u3g+s61bzc8poLIjMzMzOzetL1K2sd/Ceua7p4rO7cZc7MzMzMrBGUrill1KRRLF67ONehWB24IDIzMzMzawTFs4uZ8ekMimcV5zoUqwMXRGZmZmZmDVS6ppQnSp4gCCaUTHArUTPigsjMzMzMrIGKZxdTHuUAlEe5W4maERdEZmZmZmYNUNE6VFZeBkBZeZlbiZoRjzJnZnktfTjT0tatuKKoKzeXLqbrxvIvlpuZmeVQeutQBbcSNR8uiMwsr6UPZ1r82k+ZMfcRio+9nGsOvia13MOZmplZjs1aNGtT61CFsvIyZi6amaOIrC5cEJlZs1D5YtXzBp1H1/Zdcx2WmZkZj578aLXLhJowEqsPX0NkZs2CL1Y1MzOzbHBBZGZ5zxermpmZWba4IDKzvOeLVc3MzCxbXBCZWd7zxapmZmaWLR5Uwczyni9WNTMzs2xxQWRmZmbWRKQtT+JU3FrAmq+qPtcKnTt3bsJIrD5cEJmZmZk1kYriR5ILoRai8ufoz7b58TVEZmZmZmZWsFwQmZmZmZlZwXJBZGZmZmZmBcsFkZmZmZmZFSwPqmBmec+j95iZmVm2uCAys7zm0XvMzMwsm9xlzszMzMzMCpYLIrMm0KVLFyRtegCbTXfp0iXHEZqZWSFznrJC5i5zZk1g2bJlNXbzqukaGTMzs2xznrJClrUWIkm9JD0n6S1JcyR9r4p1JOl3kkokzZY0JFvxmJmZpXOeMjMzyG4L0Qbg8oiYIWlbYLqkyRHxVto6JwD9ksdBwB+Sf83MzLLNecrMzLLXQhQRn0TEjOT5KuBtoEel1YYDYyPlNWB7STtnKyYzM7MKzlNmZgZNNKiCpD7AfsDUSot6APPTpj9iy2RkZmaWVc5TZmaFK+sFkaSOwGPApRGxsp77GCNpmqRppaWljRugmZkVNOcpM7PCltWCSFJbUknmwYgYX8UqC4BeadM9k3mbiYi7ImJoRAwtKirKTrBmZlZwnKfMzCybo8wJuAd4OyJuqWa1icCIZBSfg4EVEfFJtmIyMzOr4DxlZmZQyyhzktoBJwKHA92BtcCbwNMRMaeWfX8JOAf4j6SZybyrgd4AEVEMPAMMA0qANcC36/cyzMysEDlPmZlZQ1VbEEm6nlSSeZ7URaaLgHbAHsBNSRK6PCJmV7V9RLwE1HgXr0jdAezCekVuVoWqbhxX043mzKz5cp4yM7PGUFML0b8j4tpqlt0iaUeSs2hm+aKi+JHkQsis5XOeMjOzBqu2IIqIp2vaMCIWkTobZ2Zm1uScp8zMrDHUeA0RgKQngcqn2lcA04A7I2JdNgIzMzPLhPOUmZk1RCajzL0HfAb8MXmsBFaR6qP9x+yFZmZmlhHnKTMzq7daW4iAQyPigLTpJyW9HhEHSKptBB8zM7Nsc54ya6C4dju4rhMApa1bcUVRV24uXUzXjeVfLDdroTIpiDpK6h0RHwJI6g10TJZ9nrXIzMzMMuM8ZdZAun7lpsGIil/7KTPmPkLxsZdzzcHXpJZLxHU5DNAsizIpiC4HXpL0LqnhSXcFLpC0DfDnbAZnZmaWAecps0ZSuqaUJ0qeIAgmlEzgvEHn0bV911yHZZZVtV5DFBHPAP2AS4HvAXtGxNMRsToibs12gGYtTemaUkZNGsXitYtzHYpZi+A8ZdZ4imcXUx6pbnLlUU7xrOIcR2SWfbUWRJLaAt8Ffpw8vpPMM7N6KJ5dzIxPZzjJmDUS5ymzxlHROlRWXgZAWXkZE0om+ASetXiZjDL3B2B/4I7ksX8yz8zqqHJXBCcZs0bhPGXWCNJbhyq4lcgKQSbXEB0QEYPSpqdImpWtgKzwSNpiXsWFnS1Fxeg9xTt0prxjR2glysvWUXz3UK5Zssyj92Qg/e+k4nlL+zuxenOeMmsEsxbN2tQ6VKGsvIyZi2bmKKLmxXmq+cqkINooabeIeBdAUl9gY3bDskJS8WUhqcV+cej6lSxavYgnxp9A2cb1AJS1EhM6d+W870yjqEORR++pRUv927BG4Txl1ggePfnRapeJLU9e2uacp5qvTAqiK4DnJL1HavSeXYBvZzUqsxbIXRHMssZ5yszM6q3Wgigi/impH7BnMmtuRKzPblhmLY+7Iphlh/OUNQddunRh2bJlm81L72LVuXNnli5d2tRhmRk1FESSTqlm0e5J16bxWYrJrEVyVwSzxuU8Zc3JsmXLauxSVdX1tGbWNGpqITqphmUBONGYmVkuOU+ZmVmDVVsQRYT7X5uZWd5ynjIzs8ZQ7X2IJJ0tqablu0k6LDthmZmZ1cx5yszMGkNNXeZ2AN6QNB2YDpQC7YDdgSOAxcAPsx6hmZlZ1ZynzMyswWrqMvdbSbcBRwNfAgYCa4G3gXMi4sOmCdHMzGxLzlNmZtYYahx2OyI2ApOTh5mZWV5xnjIzs4aqtu+1mZmZmZlZS+eCyMzMzMzMCpYLIjMzMzMzK1g1XkMEIGlr4FSgT/r6EXFD9sIyq5suXbqwbNmyzeal3/W7c+fOLF26tKnD2kxNdyHv3LlzE0Zi1rI4T1m2VfX9HRE5iCS7nKesUNVaEAFPACtIDWm6PrvhmNXPsmXLakxONX3JN4XKsUlqkcnULEecpyyrKr6vW/J3t/OUFbJMCqKeEXF81iMxMzOrH+cpMzOrt0yuIXpF0r5Zj8TMzKx+nKfMzKzeMimIDgOmS5orabak/0iaXdtGkv4kaZGkN6tZfqSkFZJmJo+f1DV4MzMznKfMzKwBMukyd0I9930fcBswtoZ1/hURJ9Zz/2ZmZuA8ZWZmDVBrC1FEfABsD5yUPLZP5tW23YtAbof1MjOzFs95yszMGqLWgkjS94AHgR2TxwOSLm6k4x8iaZakZyXt00j7NDOzAuI8ZWZmDZFJl7lzgYMiYjWApF8ArwK/b+CxZwC7RMRnkoYBE4B+Va0oaQwwBqB3794NPKyZmbUwzlNmZlZvmQyqIGBj2vTGZF6DRMTKiPgsef4M0FZS12rWvSsihkbE0KKiooYe2szMWhbnKTMzq7dMWojuBaZKejyZ/jpwT0MPLGkn4NOICEkHkirOljR0v2ZmVnCcp8zMrN5qLYgi4hZJz5Ma1hTg2xHxRm3bSXoIOBLoKukj4FqgbbLPYuA04HxJG4C1wJnhWyKbmVkdOU+ZmVlDVFsQSdouIlZK6gK8nzwqlnWJiBpH5omIb9ay/DZSw52amZnVmfOUmZk1hppaiP4CnAhMB9LPiCmZ7pvFuMzMzGrjPGVmZg1WbUFUcSO6iNi16cIxMzPLjPOUmZk1hkzuQ/QlSdskz8+WdIskjylqZmZ5wXnKzMwaIpNR5v4ADJI0CLgcuBu4Hzgim4GZ1UVcux1c16nm5XlA0hbPfY22WYM5T1neay55yqwQZVIQbUiGHB0O3BYR90g6N9uBmdWFrl9ZY2Ehibiu6eKpjosfs6xwnrK811zylFkhyqQgWiXp/wFnA1+W1IpkWFIzM7M84DxlZmb1Vus1RMA3gPXAuRGxEOgJ/CqrUZmZmWXOecqaldI1pYyaNIrFaxfnOhQzI7OCaBXw24j4l6Q9gMHAQ9kNy8zMLGPOU9asFM8uZsanMyieVZzrUMyMzAqiF4GtJfUA/g6cA9yXzaDMzMzqwHnKmo3SNaU8UfIEQTChZIJbiczyQCYFkSJiDXAKcEdEnA4MyG5YZmZmGXOesmajeHYx5VEOQHmUu5XILA9kVBBJOgQ4C3i6DtuZmZk1BecpaxYqWofKyssAKCsvcyuRWR7IJGFcCvw/4PGImCOpL/BcdsMyMzPLmPOUNQvprUMV3Epklnu1DrsdES8AL0jqkEy/B1yS7cDMzMwy4TxlzcWsRbM2tQ5VKCsvY+aimTmKyMwgg4Io6YZwD9AR6J3cCfy7EXFBtoMzMzOrjfOUNRePnvxotcuEmjASM0uXSZe5W4HjgCUAETEL+HI2gzJrCN/fwazgOE+ZmVm9ZXTRaUTMrzRrYxZiMWsUvr+DWeFxnjIzs/rKpCCaL+lQICS1lfQD4O0sx2VWL76/g1lBcp4yM7N6y6QgOg+4EOgBLCB1B/ALsxmUWX35/g5mBcl5yszM6q3GQRUktQbOiYizmiges3qr7v4O5w06L8eRmVm2OE+ZmVlD1dhCFBEbgW81USxmDeL7O5gVHucpMzNrqFqH3QZeknQbMA5YXTEzImZkLSqzevD9HcwKlvOUmZnVWyYF0eDk3xvS5gVwdOOHY1Z/vr+DWcFynjIzs3qrtSCKiKOaIhAzM7P6cJ4yM7OGqHWUOUk7SPqdpBmSpkv6raQdmiI4MzOz2jhPmZlZQ2Qy7PbDQClwKnBa8nxcNoMyMzOrA+cpMzOrt0wKop0j4qcRMS95/Azolu3ArOXr0qULkjY9gM2mu3TpUqf9pW9b+dG5c+dsvAQzyw/OU5YVhZinqnqtZi1dJoMq/F3SmcBfk+nTgL9lLyQrFMuWLSMiql1ely/hyvuRVOO+zaxFcZ6yrCjEPJWPMZllWyYtRKOBvwDrk8fDwHclrZK0MpvBmZmZZcB5yszM6q3Wgigito2IVhHRNnm0SuZtGxHbVbedpD9JWiTpzWqWK7kItkTSbElDGvJCzMysMNU3T4FzlZmZZTbK3LmVpltLujaDfd8HHF/D8hOAfsljDPCHDPZpZma2mQbkKXCuMjMreJl0mTtG0jOSdpY0AHgN2La2jSLiRWBpDasMB8ZGymvA9pJ2zihqMzOzL9QrT4FzlZmZZXZj1m9J+gbwH2A18K2IeLkRjt0DmJ82/VEy75NG2LeZmRWILOYpcK4ys0rWrl3L0qVLWb58OStWrGD58uUcddRRtG/fngULFtCjR49ch2h1VGtBJKkf8D3gMWBv4BxJb0TEmmwHlxbDGFJdFejdu3dTHdbMzJoB5ykzq4+I4LPPPmPhwoXsvPPOdOzYkblz5zJx4kSWLFnC0qVLWbJkCUuWLOGuu+5ijz324A9/+AMXXHDBFvuaO3cue+yxBx9++KELomYok2G3nwQujIh/KjW+5PeB14F9GnjsBUCvtOmeybwtRMRdwF0AQ4cO9XiQZi3YZ599xieffMKyZctYtmzZpjNwI0aMoF27drkOz/JTtvIUZJirnKfM8kd5eTmffvop8+fPZ8GCBSxcuJCjjz6aPffck2nTpnHxxRfz6aefsnDhQtauXQvApEmTOO6443jrrbe48soradu2LTvssANdunRhhx124PPPPwfgkEMO4ec//zmdO3emc+fOdOrUie23355evVJfEwcddFDOXrfVXyYF0YERsRIgUoPT/1rSk41w7InARZIeBg4CVkSEuyCYtQARwcqVKyktLWXRokWUlpZy+OGH06VLF1566SXuvvvuTcVOReHz/PPPs9tuu1FcXMwVV1yxxT6HDRtGz549c/BqrBnIVp4C5yqzvLN69WreffddPvjgA+bPn8/8+fP56le/ylFHHcWbb77JkCFDKCsr22ybu+++mz333JP27dvTsWNHdt99d7p168ZOO+1oiEXRAAAgAElEQVREt27dGDBgAJDKNatWrWKbbbap8j5TgwcPZvDgwdXG1qpVJpfnW76ptiCSdGVE/DIiVko6PSIeSVs8Cri6ph1Legg4Eugq6SPgWqAtQEQUA88Aw4ASYA3w7Qa8DjNrIqtXr2b27Nl8/PHHLFiwgAULFvDxxx9z2WWXMWTIEJ5++mlOOeWUTWfTKjz//PMcccQRfPLJJ0yZMmXT2bW+ffvSuXNn2rZtC6SS0U477UTnzp3ZfvvtN/3brVu3XLxcy2MNzVPJPpyrzPJMRLBkyRLeffdd3n33XUpKShg0aBDDhw+ntLSUHXfccbP127RpQ9euXTnqqKPo2bMnl19+Ob169aJXr1706NGDnXbaadM2++yzD5MnT6722FtvvTVbb711Vl+f5R9Vd0diSTMiYkjl51VNN6WhQ4fGtGnTcnFoa2S13aW7IXfxztc7gDcHq1at4tlnn+X9999n3rx5fPTRRyxYsICrr76a0047jVdffZVDDz100/pbbbUVO++8M3feeSfHHXccc+fO5d5776WoqIiioiJ23HFHioqK2Guvvdhmm21y+MqsMUmaHhFDcxyD85RllfNUdkUECxcuZM6cObRp04YjjzyS8vJyevXqxccff7zZupdccgm//e1viQh++ctf0qdPH/r06UOvXr3o1q0brVu3ztGrsHxVlzxVU5c5VfO8qmkzaybKysqYMmUKc+fO5d1332XevHnMmzePc889l0svvZTly5fzjW98A4AuXbrQu3dvunfvvqmY2WeffXj66afp0aMH3bt3p2vXrpt1K9hzzz256aabcvLarOA4T5k1E+Xl5Zu6k/34xz9mypQpvPXWWyxfvhyAI488kiOPPJJWrVoxevRoOnXqxO67785uu+3GrrvuSvv27YFUIXnVVVfl7HVYy1RTQRTVPK9q2szyyNq1a3nrrbd4++23mTt3LnPnzmX//ffflEROPPFENmzYwLbbbsuuu+5K37592Xnn1K1VevTowaxZs+jTpw/bbbfdFvvebrvtGDZsWJO+HrNqOE+Z5aHPP/+cN954g9dff50ZM2YwY8YMysrKmDNnDgAlJSW0bt2ab37zm/Tv35/+/fuzzz5fjIFy3XXX5ShyK1Q1FUSDJK0kdZatffKcZNpDPZnlgYhgwYIFzJo1i/Xr13PKKacAqVaa+fNTt05p1aoVffv2Zc899wSgbdu2vPzyy+yyyy7suOOOW1w02qpVKwYOHNi0L8SsfpynzPLAwoULmTp1KieffDKSOP/88/nTn/4EQFFREUOGDGH//fcnIpDEQw89lOOIzTZXbUEUEe6MaZan7rjjDh5//HFmzJjB0qVLAejXr9+mguhnP/sZHTp0oH///uy2225bXCB64IEHNnnMZo3NecosN0pLS5k0aRJTpkzhhRdeYN68ecAX9+IZPXo0w4YN46CDDqJHjx5VjtZmlk8yGXbbzHLg888/Z9q0abzyyitMnTqVd955h1mzZtGqVSvefPNNlixZwqmnnsrgwYMZOHAg++6776ZtR4wYkcPIzcysJVm6dClTpkxhyJAh9O3bl5deeokRI0bQpUsXjjjiCC666CIOPfRQ+vTpA8DBBx+c24DN6sgFkVmeWLduHW3atKFNmzbcddddXHrppZtuGLfrrrty4IEHsmrVKjp16sTtt9/uM25mZpYVEcGcOXN46qmneOqpp3j11VcpLy/nl7/8JVdccQVf+cpXeOONNxg4cKDvu2MtggsisxyJCGbNmsWkSZP4+9//ziuvvMLkyZM5/PDD6d+/P6NHj+aII47gsMMO2+KeCy6GzMysMZWVlbFw4UJ69erF6tWr2X///fn8888ZMmQIP/rRjzjhhBMYOjQ1gvG2225b481JzZobF0RmTajigtL//ve/HHHEESxcuBCAQYMGceGFF24qfA477DAOO+ywXIZqZmYtXFlZGc899xyPPPII48ePZ4899uDVV1+lY8eOjB8/nv3224/u3bvnOkyzrHNBZJZl8+fPZ8KECYwfP56DDz6Yn//85+y6664ce+yxHH300Rx33HGbhrw2M7P8VLqmlCtevIKbj7iZru275jqcBrv11lv52c9+xpIlS+jYsSPDhw/njDPO2LT8a1/7Wg6jM2taLojMsuS2227j/vvv59///jeQuqFp7969gdTQ12PHjs1leGZmVgfFs4uZ8ekMimcVc83B1+Q6nDp7//33GTt2LBdeeCE77LADnTt35rjjjuOMM87guOOOo107j1RvhcsFkVkjKS0tZfLkyXzrW98C4OWXX6a8vJwbb7yRU045ZdN9gMzMrHkpXVPKEyVPEAQTSiZw3qDzmkUr0fr163nssce4++67ee655wAYMGAAp5xyCiNHjmTkyJE5jtAsP7ggMmuAdevWMXHiRO6//34mTZrEhg0bOOCAA+jXrx9jx46lbdu2uQ7RzMwaqHh2MeVRDkB5lDeLVqJly5ax99578+mnn9K3b19uuOEGRowYwS677JLr0Mzyjgsis3p69dVXOfHEE1m6dCndu3fnsssu45xzzqFfv34ALobMzFqAitahsvIyAMrKyza1EuWTiOBf//oXM2bM4NJLL6Vz586MHj2aww8/nK985SseHtusBi6IzDJUVlbGE088Qbt27TjxxBMZMGAAxx9/PKNGjeLoo4+mdevWuQ7RzMwaWXrrUIWKVqJ8UF5ezpNPPslNN93Ea6+9xo477siYMWPo0KEDP/3pT3Mdnlmz4NMFZrVYvnw5v/zlL+nTpw+nn346d9xxB5C6D8ODDz7Iscce62LIzKyFmrVo1qbWoQpl5WXMXDQzRxF94d///jcDBgzg61//Op9++il33HEH8+bNo0OHDrkOzaxZcQuRWQ1+//vfc/XVV/PZZ59xzDHHcOedd3LCCSfkOiwzM2sij578aLXLRNPfJHvDhg0sWbKEbt26sfPOO9OhQwcefPBBzjjjDNq08c86s/rw/xyzSv773/+y0047sd1229GtWzdOPvlkfvCDH7DffvvlOjQzMytQ5eXlPPLII1x77bV0796dKVOm0KtXL6ZNm5br0MyaPXeZs7xQuqaUUZNGsXjt4pzFUFJSwsiRI9l77735/e9/D8AZZ5zBgw8+6GLIzMxyZtKkSQwZMoQzzzyTNm3acPHFFxMRuQ7LrMVwC5HlTFy7HVzXCYDiHTozY9uOFN89lGuWLPtieR1J2uJ5bUlj3rx53HDDDdx///1stdVWXHbZZYwePbrOxzYzs5YlPU9Vu7yO6pqnxo4dy8iRI9ltt9144IEHOPPMM33dqlkjc0FkOaPrVxIRqSFNx59AbFzPhM5dOe870+javiuSiOvqts/6nDG74IILeP7557nkkku48sor2Wmnneq8DzMza4GuW9Hou8wkTy1fvpwPP/yQgQMHcuqpp7Jy5UrGjBnDVltt1ejxmJm7zFkeqOqGd9lUVlbGbbfdxkcffQSkBk4oKSnhlltucTFkZmY5ExGMHTuWfv36cfrpp1NeXs4222zDRRdd5GLILItcEFlOVXfDu2xdSzR58mQGDBjAxRdfzIMPPgjA7rvvTo8ePbJyPDMzs0y8++67fPWrX2XkyJH069ePhx9+2DdTNWsi7jJnOdVUN7z7+OOP+f73v8+4cePo168fTz31FMOGDWvUY5iZmdXHzJkzOeSQQ2jbti133HEH3/3ud10MmTUhF0SWU011w7sbbriBCRMmcP3113PllVfSrl27Rt2/mZlZXa1bt4527doxcOBALr/8cs4//3z3WDDLATW3YRuHDh0aHnO/ZZBU48WltS2vzTvvvAPAXnvtRWlpKStWrGD33Xev9/7M7AuSpkfE0FzHkY+cp6w25eXl3H777fziF79g6tSpLoLMsqAuecrtsdbibNy4kV//+tcMHjyYSy65BICioiIXQ2ZmlnMLFizg+OOP55JLLmHQoEG0aePOOma55v+F1qKUlJQwatQoXn75ZYYPH05xcXZHrDMzM8vUM888wznnnMO6desoLi5mzJgxm92XyMxywwWRtRhTp07lmGOOoU2bNowdO5azzz7bicbMzPLG/fffT69evfjrX//KHnvsketwzCzhgshajEGDBnH22WdzzTXX0LNnz1yHY2ZmxieffMLatWvp27cvf/zjH2ndujXt27fPdVhmliar1xBJOl7SXEklkn5YxfJRkkolzUwe38lmPNbyzJ49m6997WusWLGCdu3aUVxc7GLIzDLmPGXZNHXqVIYMGcLZZ59NRNCxY0cXQ2Z5KGsFkaTWwO3ACUB/4JuS+lex6riIGJw87s5WPNby/OUvf+Hggw9mxowZzJs3L9fhmFkz4zxl2fTggw9yxBFH0KFDB+6880534TbLY9lsIToQKImI9yLic+BhYHgWj2cFYuPGjVxxxRWcddZZDB06lJkzZzJ48OBch2VmzY/zlDW68vJyrr76as4++2wOPvhgpk6dyr777pvrsMysBtksiHoA89OmP0rmVXaqpNmSHpXUq6odSRojaZqkaaWlpdmI1ZqRH/7wh9x8881ccMEF/OMf/6Bbt265DsnMmifnKWt069at49lnn2X06NH8/e9/p2vXrrkOycxqketBFZ4EHoqI9ZK+C/wZOLryShFxF3AXpG5417QhWr657LLLGDBgACNHjsx1KGbW8jlPWUaWLl1Ku3bt6NChAy+++CIdO3Z0NzmzZiKbLUQLgPQzaT2TeZtExJKIWJ9M3g3sn8V4rBl75ZVXOOecc9iwYQPdu3d3MWRmjcF5yhrF/PnzOeywwxgxYgQA2267rYshs2YkmwXR60A/SbtK2go4E5iYvoKkndMmTwbezmI81kyNHz+eY445htdee41FixblOhwzazmcp6zB5syZw6GHHsqCBQu4+OKLcx2OmdVD1rrMRcQGSRcBfwNaA3+KiDmSbgCmRcRE4BJJJwMbgKXAqGzFY83T7373Oy699FIOOuggJk6cSFFRUa5DMrMWwnnKGmr69Okce+yxbL311rz44osMGjQo1yGZWT0oonl1dR46dGhMmzYt12FYI5BETX9/Fd0Nvv71r/Pggw/SoUOHpgrNzGohaXpEDM11HPnIeaowbNiwgb333psNGzYwZcoUdt1111yHZGZp6pKncj2oglmNLrroIm699VZat26d61DMzMw2adOmDY899hidOnVil112yXU4ZtYA2byGyKzOysvLefbZZzdN//73v3cxZGZmeePll1/mf//3fwEYOHCgiyGzFsAFkeWN8vJyxowZw7Bhw3j++edzHY6ZmdlmXn/9dY4//njGjh3LypUrcx2OmTUSF0SWFyKCCy+8kHvuuYcf//jHHHHEEbkOyczMbJM5c+Zw/PHH07VrV6ZMmcJ2222X65DMrJG4ILKciwguv/xyiouL+eEPf8j111/v+zeYmVneeO+99zj22GPZaqut+Mc//kGPHj1yHZKZNSIPqmA5N23aNH7zm99wySWXcOONN7oYMjOzvDJ9+vRNo8nttttuuQ7HzBqZCyLLuQMOOICXXnqJQw45xMWQmZnlndNPP53jjjvO3eTMWih3mbOc+sc//gHAl770JVq18p+jmZnlhw0bNnDaaafx+OOPA7gYMmvB/AvUcmLy5MkA3HLLLTXenNXMzKypRQQXX3wxjz32GIsXL851OGaWZS6IrMnNnDmTU089FYCHHnrI3eTMzCyv/PrXv6a4uJirrrqK0aNH5zocM8syF0TWpD744AOGDRvG9ttvD0CnTp1yHJGZmdkXJkyYwJVXXskZZ5zBjTfemOtwzKwJuCCyJnX33XezZs0ann322VyHYmZmtoWXX36ZAw44gPvuu8/XtpoVCDW36zeGDh0a06ZNy3UYVk8Rwbx58+jbty+Sarx+qLblZpY7kqZHxNBcx5GPnKeavzVr1tChQ4dch2FmDVCXPOVTH9Yk7rzzTkpKSpBE3759cx2OmZnZJuXl5VxwwQXMmjULwMWQWYFxQWRZN378eM477zxuvfXWXIdiZma2heuvv54//OEPvPzyy7kOxcxywAWRZdVbb73FiBEjOOigg7j55ptzHY6ZmdlmJk2axA033MCoUaM4//zzcx2OmeWACyLLmtWrV3PaaaexzTbbMH78eNq1a5frkMzMzDb5+OOPGTFiBPvuuy933HGHbwNhVqDa5DoAa7luuukm3nnnHSZPnkz37t1zHY6Zmdlmfv3rX7N69WrGjRtH+/btcx2OmeWIW4gsa66++mqeeOIJjjnmmFyHYmZmtoWbbrqJF154gb333jvXoZhZDrkgskZXUlLCqlWraN++PSeddFKuwzEzM9vMzJkzKS0tpW3btgwd6tHjzQqdCyJrVGvWrOGkk07i5JNPznUoZmZmW1ixYgXDhw/n9NNPz3UoZpYnfA2RNaorr7ySd955h9tuuy3XoZiZmW3hsssu46OPPmLcuHG5DsXM8oRbiKzRTJo0idtvv53LLrvM1w2ZmVneefLJJ7n33nu56qqrOPjgg3MdjpnlCRdE1igWL17Mt7/9bfbZZx9uvPHGXIdjZma2mcWLFzN69GgGDhzItddem+twzCyPuCCyRrFu3Tr69+/PAw884PsNmZlZ3okIDjvsMMaOHcvWW2+d63DMLI/4GiJrFD179uSf//xnrsMwMzOrUlFREY8++miuwzCzPOQWImuQTz/9lBEjRvDJJ5/kOhQzM7MtLFu2jDPOOIOSkpJch2JmecoFkTXIxRdfzLhx41ixYkWuQzEzM9vCVVddxfjx41m1alWuQzGzPJXVgkjS8ZLmSiqR9MMqlm8taVyyfKqkPtmMxxpP6ZpSTnzgRB7/++Nce+217LXXXrkOycyszpynWq7SNaX8z8P/w71/vZfLLruM/fbbL9chmVmeylpBJKk1cDtwAtAf+Kak/pVWOxdYFhG7A78BfpGteKxx/e713/F+2fvs9e29uOKKK3IdjplZnTlPtWx3vHEH/7f2/+h7Vl+uu+66XIdjZnksmy1EBwIlEfFeRHwOPAwMr7TOcODPyfNHgWMkKYsxWSMoXVPKxPcmolai7X5tWbHB3eXMrFlynmqhSteU8vj/PY5aiW0O3Ia1rdbmOiQzy2PZHGWuBzA/bfoj4KDq1omIDZJWADsAi9NXkjQGGAPQu3fvbMVrtbmuEwDFO3SmdceOlCPY+DnFdw/lmiXLknXqVhzV9Luic+fO9Q7VzCwDzlMtTVqeatWxIxslKG9YnjKzlq9ZDKoQEXdFxNCIGFpUVJTrcArXdSsovbKEJzp3paxVqpApayUmdO7K4qverXOSiYgaH0uXLs3GqzAza3TOU3mikfOUmRWGbBZEC4BeadM9k3lVriOpDdAJWJLFmKyBimcXUx7lm80rj3KKZxXnKCIzs3pznmqBnKfMrK6yWRC9DvSTtKukrYAzgYmV1pkIjEyenwZMiYjIYkzWQLMWzaKsvGyzeWXlZcxcNDNHEZmZ1ZvzVAvkPGVmdZW1a4iSvtYXAX8DWgN/iog5km4ApkXEROAe4H5JJcBSUsnI8tijJ/su32bWMjhPtUzOU2ZWV9kcVIGIeAZ4ptK8n6Q9Xwecns0YzMzMquM8ZWZmzWJQBTMzMzMzs2xwQWRmZmZmZgXLBZGZmZmZmRUsF0RmZmZmZlawXBCZmZmZmVnBUnO7nYKkUuCDXMdhAHQFFufp/ho7tsaW7/HlM793+WGXiCjKdRD5yHkqrzhP1V++x5fP/N7lh4zzVLMriCx/SJoWEUPzcX+NHVtjy/f48pnfOzPLlPNU/eV7fPnM713z4y5zZmZmZmZWsFwQmZmZmZlZwXJBZA1xVx7vr7Fja2z5Hl8+83tnZplynqq/fI8vn/m9a2Z8DZGZmZmZmRUstxCZmZmZmVnBckFkZmZmZmYFywWR1UrS8ZLmSiqR9MMqlm8taVyyfKqkPg3Y15clzZC0QdJpjRDb9yW9JWm2pH9K2qX2V9w4aostbb1TJYUkD9GZyOBz7S3pOUlvJJ/tsFzEaWb5wXmq/pyr6s+5qgWJCD/8qPYBtAbeBfoCWwGzgP6V1rkAKE6enwmMa8C++gADgbHAaY0Q21FAh+T5+dXFlov3LVlvW+BF4DVgaK4/73x4ZPi53gWcnzzvD7yf67j98MOP3Dycp7L73iXrOVfV77N1rmomD7cQWW0OBEoi4r2I+Bx4GBheaZ3hwJ+T548Cx0hSffYVEe9HxGygvDFii4jnImJNMvka0DOD/TaGTN43gJ8CvwDWNVFczUEm710A2yXPOwEfN2F8ZpZfnKfqz7mq/pyrWhAXRFabHsD8tOmPknlVrhMRG4AVwA713Fdjx5buXODZBhyvLmqNTdIQoFdEPN1EMTUXmXyu1wFnS/oIeAa4uGlCM7M85DxVf85V9edc1YK4ILKCIOlsYCjwq1zHAiCpFXALcHmuY2mmvgncFxE9gWHA/cl7ambWLOVbngLnqkbgXNVM+EOx2iwAeqVN90zmVbmOpDakmoWX1HNfjR0bkr4C/Ag4OSLWN+B4jRnbtsAA4HlJ7wMHAxN9sSqQ2ed6LvBXgIh4FWgHdG2S6Mws3zhP1Z9zVf05V7UgLoisNq8D/STtKmkrUhejTqy0zkRgZPL8NGBKRFR1x99M9tWosUnaD7iTVJJZ1IBjNWpsEbEiIrpGRJ+I6EOq3/jJETGtCWPMV5n8nXwIHAMgaW9SSaa0SaM0s3zhPJWl+JyrauRc1YK4ILIaJX2tLwL+BrwN/DUi5ki6QdLJyWr3ADtIKgG+D1Q5bGcm+5J0QNLX9nTgTklzGhjbr4COwCOSZkpqSGLLWIaxWRUyfO8uB0ZLmgU8BIyq5seNmbVwzlP151xVf85VLYv8uZiZmZmZWaFyC5GZmZmZmRUsF0RmZmZmZlawXBCZmZmZmVnBckFkZmZmZmYFywWRmZmZmZkVLBdEVrAkbS/pgrTp7pIezdKxvi7pJ8nz+ySdlo3jVHPsEyXd0FTHMzOzxuE8ZdY0XBBZIdse2JRoIuLjiMhWArgSuCNL+wZAUutqFj0NnCSpQzaPb2Zmjc55yqwJuCCyQnYTsFtyI7xfSeoj6U0ASaMkTZA0WdL7ki6S9H1Jb0h6TVKXZL3dJE2SNF3SvyTtVfkgkvYA1kfE4rTZX5b0iqT3Ks7CKeVXkt6U9B9J30jmHynpqbT93SZpVPL8fUm/kDQDOF3SJZLekjRb0sMAyU3gngdObPy30MzMssh5yqwJtMl1AGY59ENgQEQMBpDUp9LyAcB+QDugBLgqIvaT9BtgBHArcBdwXkT8n6SDSJ1dO7rSfr4EzKg0b2fgMGAvYCLwKHAKMBgYBHQFXpf0YgavY0lEDElew8fArhGxXtL2aetMAw4H/prB/szMLD84T5k1ARdEZtV7LiJWAaskrQCeTOb/BxgoqSNwKPCIpIpttq5iPzsDpZXmTYiIcuAtSd2SeYcBD0XERuBTSS8ABwAra4lzXNrz2cCDkiYAE9LmLwK617IfMzNrXpynzBqBCyKz6q1Pe16eNl1O6v9OK2B5xZm7GqwFOtWwb1GzDWzevbVdpeWr055/DfgycBLwI0n7RsSGZJu1tRzHzMyaF+cps0bga4iskK0Ctq3vxhGxEpgn6XTY1Ld6UBWrvg3snsEu/wV8Q1JrSUWkEsa/gQ+A/pK2TroXHFPVxpJaAb0i4jngKlLJrWOyeA/gzcxfnZmZ5QHnKbMm4ILIClZELAFeTi4O/VU9d3MWcK6kWcAcYHgV67wI7Ke0/grVeJxUV4JZwBTgyohYGBHzSfWpfjP5941qtm8NPCDpP8k6v4uI5cmyo0iN4mNmZs2E85RZ01BqYA8zyyZJvwWejIh/5ODY3YC/RESVZ+zMzMycp6yQuSAyawLJl/1BETExB8c+ACiLiJlNfWwzM2senKeskLnLnFklkvpLmpZB14Ha9vO+pK8kk+cCJzc8ui2OEZKq7Pct6XlJ34mI12tLMpVirWsMjbKtpIsl/aI++zEzKySSiiS9I6l9A/fzvKTvJJNfAS5qeHRbHKPaHCHpPkk/yzBPpcda1xgaZVtJJ0kaV9s21vy4ILIWT1IXSY9LWi3pA0nfqmWTnwI3RyM2n0bEjRFRry/jAvJH4CxJO+Y6EPv/2bvzMCnKa4/j38MigqKAkETBAUTigiLIsIgmiMaIXhZ3wRsV9QaXkJhEMagYveBVCPcaxQUkBlFjQEQ2lagooGLAOOygsmiQRZRBkMUJOMyc+0fVkHaYpZnp6u6Z/n2epx+6qt6qOtWjc+b0+9ZbIpJMFjxUNcfM9prZ+Dh2GQyMd/eEzcrm7s+7+08TdbzqyN1fBtqYWdtUxyKJpYJIMsHjwLfA9wluLh1tZm1KamhmRxPc2DmtpO0SHXffA/yN4GGCIiKZ5HPgfmBceQ3NrA5wLfCXqIOSEk0ABqQ6CEksFUSScGZ2upktNrNdZvaimb1gZvfHbO9pZkvM7Gsz+3vsNy1h1/rtZrbMzHaE+x4az76lxHIYcClwj7vvdvd5BE/cvrqUXc4DFoV/nBcd43dmtim8nlVmdm64/j4zmxzGuMvMFpUynWlR27/ELJ8Vxv+1mW0ws/7h+jpm9r9mtt7MvjSzMbFDIsxskJltNrPPzez6sq692PlbmdlsM/vKzLaa2fP23SeEA3Q0sw/NbLuZPV2Rz93MapjZYDP7JDzXJDNrFLP96rCX7iszu7uEQ8wleEaFiEhk0ilPAbj7FHefBnwVR/idCZ4ttDHmnP3N7NPwev5pZv8Zs/49M3ssjPXjohxWwmfS38zmxSy3MbNZZrYtzEd3hesr+3u+RGbW0MxeMbPcMA+9YmbNijVrZWb/MLOdZja92Hm7xOTVpWZ2dhnnut7MPgrP87qZNY/Zdl74Oe0ws8c48BlMc1GeqnZUEElCmdkhBNNyjgcaEXyTcnHM9vYE34DdCBwFPAnMsOAbryJXAMab3A4AACAASURBVD2AlkBboP9B7FvcD4F97r46Zt1SoMQeIuBUYFVMvCcQjKnu6O71gfOBdTHt+wAvhtf6V2CamdUuIx7CX7x/Ax4FmgDtgKKx08PDmNsRPBOiKfD7cL8ewO0ERVtrgvHe8TLgQYKngJ8EHAvcV6zNf4bX1yqMYUh43oP53H8JXAR0C8+1naCHDjM7GRhNUIweEx6reLL7CCixqBQRSYQ0zFMHq3ieOgwYBVwQ5qmu/DunQFBAfQI0Bu4FpsQWEiUxs/rAm8BrBL+vjwfeCjdX9vd8aWoATwPNgSyCh7Q+VqzNNcD1wNEED4MdFZ63KcGU3fcT/ExvB16y4FlJxa+tD3AXcAlBDn6X4L8BzKwxMIUg/zUm+NzOLHaIj4AWZnZEnNclVYAKIkm0LgRPxx7l7vnuPoXgoW1FBgBPuvv77l7g7s8QPA27S0ybUe7+ubtvA14mKA7i3be4w4GdxdbtoPQH3TUgeBBekQKgDsED52q7+zp3/yRm+0J3n+zu+cBDBE/aLisegKuAN919QvgZfeXuS8zMwmv8jbtvc/ddwANA33C/K4Cn3X2Fu3/DgQVNqdx9rbvPcve97p4bxtqtWLPH3H1D+Ln/D9AvXH8wn/tNwN3uvtHd94YxXmZmtYDLgFfc/Z1w2z0ET1OPtYsDn5YuIpJI6ZanDlbxPAXB79JTzKyuu29295Ux27YAD4fX+gJBMVVeD0dP4At3/z933+Puu9z9/XBbZX/PlyjMhS+5e16Y//6HA/PUczE58B7gCjOrCfwMmOnuM9290N1nATnAhSWc6ibgQXf/yN33EeTZduGXlRcCK2Py+sPAF8X2L/rsi4+ykCpMBZEk2jHApmITEmyIed8cuC3s0v7azL4m6K04JqZN7C+fPP79FOt49i1uN1D8W5wjODCZFNlOTLHk7muBXxP8wt9iZhPNLPZ8G2LaFgIby4mHMOZPSljfBKgHLIy5vtfC9YTHjf0sPyvnPPuZ2ffD2DeZ2U6CseeNizUrfuyi6ziYz705MDWm3UcEReX3i8cfJrTiw0PqExSsIiJRSbc8dbCK56lvgCsJ/tDfbGavmtmJMe2LX2vs7/fSlJanoPK/50tkZvXM7MlwuN1OgofFNggLniLF81RtglzWHLi82Od+FkFPUknxPxLTbhvBKIqmJcTvxc4J//7sv0aqDRVEkmibgaZhb0eRY2PebwD+x90bxLzqufuEOI5dkX1XA7XMrHXMutMIntZdkmUEw8X2c/e/uvtZBL9EHYidGnr/tZlZDYKhAZ/HcR2tSli/lWCIQJuY6zvS3YsS7Wa++1lmlXOeWA+EsZ/q7kcQfJtWfFx08WMXXcfBfO4bCIZtxLY91N03FY/fzOoRDKeIdRLBkEYRkaikW546WCXlqdfd/TyCAuBjglk7ixS/1tjf76XZABxXxrbK/J4vzW3ACQTPQjoC+HHRYWLaFM9T+QS5cwNB71FsTIe5+/BS4r+xWNu67v73EuK3YueEIE+tc/fio0+kClNBJIk2n+CbooFmViscq9spZvufgJvMrLMFDjOz/wjHK5fnoPcNv52aAgwN259JcN/Pc6XsMgs43cIbZM3sBDM7Jxz/vYegYInt/u9gZpeEQwV+TTA0YkE51/E88BMzuyL8jI4ys3ZhD9OfgD9aOPW0mTU1s/PD/SYB/S14TlI9grHg8apP0Fu2IxxrPaiENr8ws2bh2PK7gaJnLRzM5z4G+J9w6EHRszL6hNsmAz0tmFDiEGAoB/4O6kZwf5WISFTSKk8BhHEcCtQEaprZoWFeKck/CHpOmob7ft/M+lhwL9Fegt/1sXnqe8CvzKy2mV1O8Af9zHKu4xXgaDP7tQWT/dQ3s87htsr+ni9NfYIc+3WYh0rKcT+LyYFDgcnuXkAw6qGXmZ1vZkWf39l24KQMRfHfaeFss2Z2ZPi5QHAfUpuYvP4r4AfF9leeqoZUEElCufu3BDcq3kDQnfwzgl+se8PtOcDPCW6U3A6sJbwZNY5jV3TfW4C6BOOoJwA3FxtfHXuOL4HZBEUTBPcPDSf4BuoLgsRyZ8wu0wmGKmwnuIn0knDccVnXsZ5gnPJtBF31S/j3RAK/C69rQThk4E2Cb8xw978RjGeeHbaZHce1F/lv4HSC4WivEhSJxf0VeAP4lGCoxP3heQ/mc3+EYBa/N8xsF0Fx2Dk8zkrgF+F5NofHip0l6VCCz+WZg7guEZGDkqZ5aghBMTA4jOdf4brS4h8ftoPgb7nfEvT6bCP4g/3mmF3eJ5iIZyvBfTmXuXuZw9jCe3jOA3oR5L41BI+kgEr8ni/HwwS5emt4zNdKaPMcwbV/QXDP7q/C824gyNt3AbkEvUCDKOHvXHefSjDSY2KYZ1cAF4TbtgKXE+T9rwg+t/eKHaIfwWQZUo2YJ+7ZkyIlMrP3gTHu/nSqY4mHBbPkPAN08jL+BzGz+4Dj3f1npbWR+JnZL4Fj3f2OVMciIpmlCuapotnR2nsZD2e14JEO/xUO+5ZKMrNewNXufkWqY5HEKq07VqTCzKwbwSw2Wwmmcm5Lyd/0pCV3/xDomOo4Mo27P5rqGEQkM1SDPJULnFhuQ0kod3+ZYFZBqWZUEEkUTiC43+UwguFXl7n75qhOZmZZwIelbD45HKImIiJSRHlKRPbTkDkREREREclYmlRBREREREQyVpUbMte4cWNv0aJFqsMQEcloCxcu3OruTcpvmXmUp0REUu9g8lSVK4hatGhBTk5OqsMQEcloZvZZqmNIV8pTIiKpdzB5SkPmRESkWjOzY81sjpl9aGYrzezWEtqYmY0ys7VmtszMTo/Zdq2ZrQlf1yY3ehERiVqV6yESERE5SPuA29x9kZnVBxaa2axwiv0iFxA8hLE1wUMmRwOdzawRcC+QDXi47wx3357cSxARkaioh0hERKo1d9/s7ovC97uAj4CmxZr1AZ71wAKggZkdDZwPzHL3bWERNAvokcTwRUQkYiqIREQkY5hZC6A98H6xTU2BDTHLG8N1pa0vftwBZpZjZjm5ubmJDFlERCKmgkhERDKCmR0OvAT82t13JvLY7j7W3bPdPbtJE02+JyJSlaggEhGRas/MahMUQ8+7+5QSmmwCjo1ZbhauK229iIhUEyqIRESkWjMzA/4MfOTuD5XSbAZwTTjbXBdgh7tvBl4HfmpmDc2sIfDTcJ2IiFQTmmVORESquzOBq4HlZrYkXHcXkAXg7mOAmcCFwFogD7gu3LbNzIYBH4T7DXX3bUmMXUREIqaCSEREqjV3nwdYOW0c+EUp28YB4yIITURE0oAKIhGpEoJRT98V/A0rIiKSespTVZcKIhGpEoqSipkpwYiISNpRnqq6NKmCiIiIiIhkLBVEIiIiIiKSsVQQiYiIiIhIxoqsIDKzY81sjpl9aGYrzezWEtqYmY0ys7VmtszMTo8qHhERERERkeKinFRhH3Cbuy8ys/rAQjOb5e4fxrS5AGgdvjoDo8N/RUREREREIhdZD5G7b3b3ReH7XcBHQNNizfoAz3pgAdDAzI6OKiYREREREZFYSbmHyMxaAO2B94ttagpsiFneyIFFE2Y2wMxyzCwnNzc3qjBFRERERCTDRF4QmdnhwEvAr919Z0WO4e5j3T3b3bObNGmS2ABFRERERCRjRVoQmVltgmLoeXefUkKTTcCxMcvNwnUiIiIiIiKRi3KWOQP+DHzk7g+V0mwGcE0421wXYIe7b44qJhERERERkVhRzjJ3JnA1sNzMloTr7gKyANx9DDATuBBYC+QB10UYj4iIiIiIyHdEVhC5+zzAymnjwC+iikFERERERKQsSZllTkREREREJB2pIBIRERERkYylgkhERERERDKWCiIREREREclYUc4yJyIiknJmNg7oCWxx91NK2D4I+M9wsRZwEtDE3beZ2TpgF1AA7HP37ORELSIiyaIeIhERqe7GAz1K2+juI929nbu3A+4E3nb3bTFNuofbVQyJiFRDKohERKRac/d3gG3lNgz0AyZEGI6IiKQZFUQiIiKAmdUj6El6KWa1A2+Y2UIzG5CayEREJEq6h0hERCTQC3iv2HC5s9x9k5l9D5hlZh+HPU7fERZLAwCysrKSE62IiCSEeohEREQCfSk2XM7dN4X/bgGmAp1K2tHdx7p7trtnN2nSJPJARUQkcVQQiYhIxjOzI4FuwPSYdYeZWf2i98BPgRWpiVBERKKiIXMiIlKtmdkE4GygsZltBO4FagO4+5iw2cXAG+7+Tcyu3wemmhkE+fKv7v5asuIWEZHkUEEkIiLVmrv3i6PNeILpuWPXfQqcFk1UIiKSLjRkTkREREREMpYKIhERERERyVgqiEREREREJGOpIBIRERERkYylgkhERERERDKWCiIREREREclYKohERERERCRjqSASEREREZGMpYJIREREREQylgoiERERERHJWCqIRERERAQAMzvgJWVr1KjRAZ9X7HKjRo1SHKGUp1aqAxARERGR9ODuQPAHfdF7Kdv27dvL/KxUVKY/9RCJiIiIiEjGUkEkIiIiIiIZSwWRiIiIiIhkLBVEIiIiIiKSsVQQiYiIiIhIxlJBJCIiIiIiGUsFkYiIiIiIZCwVRCIiUq2Z2Tgz22JmK0rZfraZ7TCzJeHr9zHbepjZKjNba2aDkxe1iIgkiwoiERGp7sYDPcpp8667twtfQwHMrCbwOHABcDLQz8xOjjRSERFJOhVEIiJSrbn7O8C2CuzaCVjr7p+6+7fARKBPQoMTEZGUU0EkImmtUaNGmNn+F/Cd5UaNGqU4QqkmzjCzpWb2NzNrE65rCmyIabMxXHcAMxtgZjlmlpObmxt1rCIikkC1Uh2AiEhZtm/fjruXur2oSBKphEVAc3ffbWYXAtOA1gdzAHcfC4wFyM7OLv0/WBERSTvqIRIRkYzm7jvdfXf4fiZQ28waA5uAY2OaNgvXiYhINaKCSEREMpqZ/cDCrkYz60SQG78CPgBam1lLMzsE6AvMSF2kIiISBQ2ZExGRas3MJgBnA43NbCNwL1AbwN3HAJcBN5vZPuBfQF8PxmnuM7OBwOtATWCcu69MwSWIiEiEVBCJiEi15u79ytn+GPBYKdtmAjOjiEtERNKDhsyJiIiIiEjGiqwgqsyTwUVERERERJIhyiFz4wmGIDxbRpt33b1nhDGIiIiIiIiUKrIeoko8GVxERERERCQpUn0PUUlPBhcREREREUmKVM4yF/eTwc1sADAAICsrK3kRioiIiIhItZayHqIyngxeUtux7p7t7tlNmjRJapwiIiIiIlJ9pawgKuPJ4CIiIiIiIkkR2ZC5SjwZXEREREREJCkiK4gq82RwERERERGRZEj1LHMiIiIiIiIpo4JIREREREQylgoiERERERHJWCqIREREREQkY5U5qYKZHQr0BH4EHEMwG9wK4FV3Xxl9eCIiIspHIiISnVILIjP7b4LkMxd4H9gCHAr8EBgeJqfb3H1ZEuIUEZEMpXwkIiJRKquH6B/ufm8p2x4ys+8BWRHEJCIiEkv5SEREIlNqQeTur5a1o7tvIfiWTkTiZGYHrNPziEXKpnwkIiJRKvfBrGb2MlD8L7YdQA7wpLvviSIwkeqoqPgxMxVCIgepovnIzMYRDLnb4u6nlLD9P4HfAQbsAm5296XhtnXhugJgn7tnJ+ZqREQkXcQzy9ynwG7gT+FrJ0Fy+GG4LCIikgwVzUfjgR5lbP8n0M3dTwWGAWOLbe/u7u1UDImIVE/l9hABXd29Y8zyy2b2gbt3NDPN7CMiIslSoXzk7u+YWYsytv89ZnEB0KzSkYqISJURTw/R4Wa2/2bV8P3h4eK3kUQlIiJyoGTkoxuAv8UsO/CGmS00swEJOoeIiKSReHqIbgPmmdknBOOrWwK3mNlhwDNRBiciIhIj0nxkZt0JCqKzYlaf5e6bwpnsZpnZx+7+Tgn7DgAGAGRlacI7EZGqpNyCyN1nmllr4MRw1aqYG1cfjiwyERGRGFHmIzNrCzwFXODuX8Wcc1P47xYzmwp0Ag4oiNx9LOG9R9nZ2ZoxRUSkColnlrnawI3Aj8NVc83sSXfPjzQyERGRGFHlo3Do3RTgandfHbP+MKCGu+8K3/8UGFqZc4mISPqJZ8jcaKA28ES4fHW47r+iCkpERKQEFcpHZjYBOBtobGYbgXvD4+DuY4DfA0cBT4TPCiuaXvv7wNRwXS3gr+7+WmIvSUREUi2egqiju58WszzbzJZGFZCIiEgpKpSP3L1fOdv/ixKKKnf/FDjtwD1ERKQ6iWeWuQIza1W0YGbHETygTkQkqXLzcun/Wn+2/mtrqkOR1FA+EhGRhIunIBoEzDGzuWb2NjCbYKYfEZGkGrNsDIu+XMSYpWNSHYqkhvKRiIgkXDyzzL0VzupzQrhqlbvvjTYsEZHvys3LZfra6TjOtLXTuOm0m2hct3Gqw5IkUj4SEZEolFoQmdklpWw63sxw9ykRxSQicoAxy8ZQ6IUAFHohY5aOYUiXISmOSpJB+UhERKJUVg9RrzK2OcEUpSIikSvqHcovDGZXzi/M399LJBlB+UhEqoTcvFwGvTOI/+32vxrFUIWUWhC5+3XJDEREpDSxvUNFinqJpPpTPhKRqiL2XleNYqg6Sp1Uwcx+ZmZlbW9lZmdFE5aIyL8t3bJ0f+9QkfzCfJZsWZKiiCSZlI9EpCoofq+rZkStOsoaMncUsNjMFgILgVzgUOB4oBuwFRgceYQikvEm955c6jbDkhiJpIjykYikPd3rWnWV+o2buz8CnA5MAJoA54bLm4Cr3f1Sd1+TlChFRCRjKR+JSLor7V5X9RJVDWVOu+3uBcCs8CUiIpISykciks50r2vVFs+DWUVEREREpBS617VqK/fBrCIiIiIiUjrd61q1qSASEREREakgv/cIuO/IsrdLWiu3IDKzOsClQIvY9u4+NLqwREREvkv5SETSkf33Tty99O1m+H3Ji0cOXjw9RNOBHQRTne6NNhwREZFSKR+JiEjCxVMQNXP3HpFHIiIiUjblIxERSbh4Zpn7u5mdGnkkIiIiZVM+EhGRhIunh+gsoL+Z/ZNgiIIB7u5tI41MRETku5SPREQk4eIpiC6IPAoREZHyKR+JiEjClVsQuftnZnYa8KNw1bvuvjTasEREAprOVIpUNB+Z2TigJ7DF3U8pYbsBjwAXAnlAf3dfFG67FhgSNr3f3Z+p/JWIiEg6iWfa7VuBnwNTwlV/MbOx7v5opJGJiADct+M7i2ZW5vSmUn1VIh+NBx4Dni1l+wVA6/DVGRgNdDazRsC9QDbgwEIzm+Hu2yt1ISIiklbiGTJ3A9DZ3b8BMLMRwHxABZGIiCRThfKRu79jZi3KaNIHeNaDSnuBmTUws6OBs4FZ7r4tPN8soAcwoZLXISIiaSSeWeYMKIhZLgjXiYiIJFNU+agpsCFmeWO4rrT1BwZmNsDMcswsJzc3NwEhiYhIssTTQ/Q08L6ZTQ2XLwL+HF1IIiIiJUrbfOTuY4GxANnZ2RrTKSJShcQzqcJDZjaXYLpTgOvcfXGkUYmIiBQTYT7aBBwbs9wsXLeJYNhc7Pq5CTifiIikkVILIjM7wt13hjeVrgtfRdsaFY2pFhERiVIS8tEMYKCZTSSYVGGHu282s9eBB8ysYdjup8CdlTyXiIikmbJ6iP5KME3pQoLZdYpYuHxcWQeuzDSnIiIiMSqbjyYQ9PQ0NrONBDPH1QZw9zHATIJctJYgH10XbttmZsOAD8JDDdWXgSIi1U+pBZG79wz/bVnBY4+nAtOcVvBcIiJSTVU2H7l7v3K2O/CLUraNA8ZV5LwiIlI1lDvLnJmdaWaHhe9/ZmYPmVlWefu5+ztAWd+k7Z/m1N0XAEXTnIqIiBygovlIRESkLPFMuz0ayAufDn4b8AnwXALOrelMRUTkYESVj0REJIPFUxDtC4cT9AEec/fHgfrRhvVd7j7W3bPdPbtJkybJPLWIiKSPlOcjERGpfuJ5DtEuM7sT+BnwYzOrQXgzaiWVNs2piIhISaLKRyIiksHi6SG6EtgL3ODuXxAULiMTcO4ZwDUW6EI4zWkCjisiItVTVPlIREQyWFw9RMAj7l5gZj8ETgQmlLdTRac5FRERKUWF8pGIiEhZ4imI3gF+FD6Y7g2C5zFcCfxnWTtVZppTERGRElQoH4mIiJQlniFz5u55wCXAE+5+OXDAg1ZFREQipnwkIiIJF1dBZGZnEHwD9+pB7CciIpJIykciIpJw8SSSXwN3AlPdfaWZHQfMiTYsERGRAygfiYhIwpV7D5G7vw28bWb1wuVPgV9FHZiIiEgs5SMREYlCuT1EZnaGmX0IfBwun2ZmT0QemYiISAzlIxERiUI8Q+YeBs4HvgJw96XAj6MMSkREpATKRyIiknBx3Yzq7huKrSqIIBYREZEyKR+JiEiixfMcog1m1hVwM6sN3Ap8FG1YIiIiB1A+EhGRhIunh+gmggeoNgU2Ae3QA1VFRCT5lI9ERCThyuwhMrOawNXurqeAi4hIyigfiYhIVMrsIXL3AuCqJMUiIiJSIuUjERGJSjz3EM0zs8eAF4Bvila6+6LIohIRETmQ8pGIiCRcPAVRu/DfoTHrHDgn8eGIiIiUqsL5yMx6AI8ANYGn3H14se1/BLqHi/WA77l7g3BbAbA83Lbe3XtX+ApERCTtlFsQuXv38tqIiIhEraL5KLz/6HHgPGAj8IGZzXD3D2OO/ZuY9r8E2scc4l/u3g4REamWyp1lzsyOMrNRZrbIzBaa2SNmdlQyghMRESlSiXzUCVjr7p+6+7fARKBPGe37ARMSEbOIiKS/eKbdngjkApcCl4XvX4gyKBERkRJUNB81BWIf6LoxXHcAM2sOtARmx6w+1MxyzGyBmV1Uyn4DwjY5ubm5cYQkIiLpIp57iI5292Exy/eb2ZVRBSQiIlKKZOSjvsDkcFa7Is3dfZOZHQfMNrPl7v5J7E7uPhYYC5Cdne0JjklERCIUTw/RG2bW18xqhK8rgNejDkxERKSYiuajTcCxMcvNwnUl6Uux4XLuvin891NgLt+9v0hERKq4eAqinwN/BfaGr4nAjWa2y8x2RhmciIhIjIrmow+A1mbW0swOISh6ZhRvZGYnAg2B+THrGppZnfB9Y+BM4MPi+4qISNUVzyxz9ZMRiIiISFkqmo/cfZ+ZDSToTaoJjHP3lWY2FMhx96LiqC8w0d1jh7ydBDxpZoUEXyIOj52dTkREqr5yCyIzu8Hd/xyzXBMY4u7/HWlkIiIiMSqTj9x9JjCz2LrfF1u+r4T9/g6cWtGYRUQk/cUzqcK5ZnYpcANwFPA08HakUYmIiBxI+UgkKvcd+Z1Fv/eIA9Zx344kBlS1mFmp2xo2bJjESKQi4hkyd1U4i89y4BvgKnd/L/LIREREYigfiUTH/nsn3x0tWmy7GQf2oQpwwOdmZmV+lpJ+4nkwa2vgVuAl4DPgajOrF3VgIiIisZSPREQkCvHMMvcycI+73wh0A9YQzNgjIiKSTMpHIiKScPHcQ9TJ3XcChDPv/J+ZvRxtWCIiIgdQPhIRkYQrtSAyszvc/Q/uvtPMLnf3F2M29wfuijw6kepCN6tWWuwNq0XvNUY7MygfiYhIlMrqIeoL/CF8fycQm4B6oAQkEjfdrFp5Kn4ymvKRiIhEpqx7iKyU9yUti4iIREX5SEREIlNWQeSlvC9pWUREJCrKRyIiEpmyhsydZmY7Cb59qxu+J1w+NPLIREREAspHIiISmVILInevmcxARERESqJ8JCIiUYpn2m0RERERESnF7t27WbduHY0aNUp1KFIBKohERERERMpQUFDAZ599Rs2aNWnevDlff/01AwYMYN26dfzzn/9k69atAAwfPjzFkUpFlDWpgoiIiIhIRnB3/vWvf+1/P3jwYC6++GJOPvlk6tWrR6tWrRg5ciQAhx12GEuXLqVBgwZccsklPPDAA0yYMIHLLrsslZcgFaQeIhFJawUFBWzevJnPPvuMevXq0b59+1SHJCIi1cD777/P4sWLWb58OcuXL2fFihX8+Mc/Ztq0aZgZkydPpk6dOpx44on07t2bH/7wh3Tq1AmA2rVrs2rVqhRfgSSKCiIRSbmdO3eyZs0a1qxZA0Dfvn0BOOecc5g3bx75+fkAXHbZZbz44oulHkdERCSWu7N+/XpycnJYuHAhe/bs4aGHHgLg17/+NQsWLOCII47g1FNP5YorruBHP/rR/n3XrFmDmR51lglUEIlIUuzZs4dVq1bxxRdfcP755wPwi1/8gsmTJ7Nly5b97U444YT9BVH37t3p3LkzzZs3p0WLFpxwwgkpiV1ERKqGL7/8ku9///sADBs2jFGjRu2/v6dWrVp06NABd8fMGDt2LEceeSTHHntsiYWPiqHMoYJIRBIqPz+f2rVrAzBp0iReeOEFVqxYwdq1ayksLKRevXrs3r0bMyMrK4tevXrRunXr/a9WrVrtP9Y999yTqssQEZE0V1BQwLJly5g3b97+1+eff87WrVs56qijaNq0Kb179yY7O5uOHTty6qmnUqdOnf37n3rqqSmMXtKJCiIRqbBdu3axePFiFi5cyKJFi1i8eDGrV6/miy++oFGjRqxatYoVK1bQpk0brrjiCtq0acNJJ520/9u53/3ud6m+BMkQZtYDeASoCTzl7sOLbe8PjAQ2hasec/enwm3XAkPC9fe7+zNJCVpEvmPPnj3Mnz+fU045hSZNmjBu3DgGDBgAQFZWFt26daNLly7UrBk8uuz666/n+uuvT2XIUkWoIBKRuOzatYsPPviAhQsXcuWVV5KVlcWECRO48cYbATjmmGNo3749vXv3pqCgAIAhQ4aol0dSzsxqAo8D5wEbgQ/MbIa7f1is6QvuPrDYvo2Ae4FswIGF4b7bkxC6SEYrLCxk8eLFvPnmm7z55pvMmzePPXv2Dt9svwAAIABJREFUMH78eK699louuOAC/vrXv3LmmWeSlZWV6nClClNBJCKlWr9+PcOHD+fvf/87y5cvp7CwEICWLVuSlZXFhRdeyKuvvsrpp5/OD37wgwP21/hrSROdgLXu/imAmU0E+gDFC6KSnA/Mcvdt4b6zgB7AhIhiFcloGzZsYNeuXZx88sls3ryZ7OxsAE455RRuuukmfvKTn3DWWWcB0KxZM/r165fKcKWaUEEkIhQWFrJ8+XJmz57Nu+++S8+ePbn++uupVasWf/nLX+jSpQv33HMPZ5xxBh06dKBx48ZAkIyaNWuW4uhFytUU2BCzvBHoXEK7S83sx8Bq4DfuvqGUfZtGFahIpiksLCQnJ4dXXnmFl19+mSVLlnDxxRczZcoUmjZtytSpU+nSpUuJX7qJJEqkBVFlxmyLSPQKCwvp168fb731Fl999RUArVq14txzzwWCYXDbt2/fPx5bpBp7GZjg7nvN7EbgGeCceHc2swHAAEBDd0TKUVhYSI0aNQDo0aMHs2bNokaNGnTt2pURI0bQq1ev/W0vuuiiVIUpGSSygqgyY7ZFJPG2bdvGG2+8wcyZMykoKOD555+nRo0a5Ofn06tXL8455xy6d+9+QI+PiiGpBjYBx8YsN+PfX8QB4O5fxSw+BfwhZt+zi+07t/gJ3H0sMBYgOzvbKxuwSCrl5uUy6J1B/G+3/6Vx3cYJOebevXuZNWsWkyZNYvbs2axZs4a6devy85//nGuuuYYLLriAo446KiHnEjlYUfYQVWbMtki1FUWiKcvzzz/P6NGjmT9/PoWFhRx11FH07t17//YpU6ZEHoNIin0AtDazlgQFTl/gqtgGZna0u28OF3sDH4XvXwceMLOG4fJPgTujD1kkdcYsG8OiLxcxZukYhnQZUv4OZfjwww8ZMWIE06dPZ8eOHTRs2JCLLrqInTt3UrduXS6//PIERS1ScTUiPHa8464vNbNlZjbZzI4tYTtmNsDMcswsJzc3N4pYRZImNtEkWn5+PrNmzeKWW25h9+7dQHCD6p49e7j77ruZP38+X375JePGjUv4uUXSlbvvAwYSFDcfAZPcfaWZDTWzom8HfmVmK81sKfAroH+47zZgGEFR9QEwtGiCBZHqKDcvl+lrp+M409ZOY+u/th7U/u6+/xEMAHl5ecyYMYOLL76YmTNn8sUXXzBu3Lj9D08VSQfmHk3PvpldBvRw9/8Kl68GOscOjzOzo4DdMWO2r3T3MsdsZ2dne05OTiQxi0TFzHB3cvNyuWDKBewt2EudmnV47dLXaFy38f7tFbFnzx5mzZrFSy+9xIwZM9i+fTuHHXYYb7zxBl27dt3/zB+RRDKzhe6eneo40pHylFRFRXlo2IJhTF0zlfzCfGrXqM0lrS9hSJch5eapL774gueff55nnnmG5cuXc8MNN/DUU0/h7uTn53PIIYck8WpSqzI5XRLnYPJUlD1EcY3Zdve94eJTQIcI4xFJuTHLxlDowdTVhV5Y4V6i/Px8tm4NvrVbs2YNvXv3Ztq0afTs2ZNp06aRm5tL165dAU19LSIi8SnqHcovzAcgvzA/rl6i6667jmbNmnH77bdTr149nnjiCf7wh+A2PDPLqGJIqqYoC6L9Y7bN7BCCMdszYhuY2dExi7FjtkWqnYommiLuzvz58xk4cCBHH300t912GxA8m+Gtt95iy5YtPPvss/Tp04e6detGdh0iIlI9xX5pV6SkL+9yc3N54okn9j+b7vjjj+f222/no48+YsGCBdx88800atQoaXGLVFZkkyq4+z4zKxqzXRMYVzRmG8hx9xkEY7Z7A/uAbYRjtkWqo3gTTUlGjRrFqFGj+OSTTzj00EPp06cPV10V3BNuZpxzTtyzA4uIiJRo6Zal+7+0K5JfmM+SLUsAmD9/Po8//jgvvvgi3377LdnZ2XTq1Im77747FeGKJEykzyFy95nAzGLrfh/z/k40W49kiPISTay9e/cyc+ZM+vTpQ40aNdiwYQMtWrRgyJAhXHLJJRxxxBHJCltERDLE5N6TS1y/YcMGXuIlunbtyhFHHMGAAQO46aabaNOmTZIjFIlGpAWRiPxbaYkGwAju81m1ahV/+tOfeOaZZ9i6dStvvvkm5557Ln/4wx90L5CIiCTN7t27Wb16Naeffjo/+MEPAHj00Ufp378/hx9+eIqjE0ksFUQiaaJ79+7MnTuXWrVq0bt3bwYMGMDZZ58NaGIEERFJjq1bt/LHP/6RJ554gnr16rFu3Tpq164NwMCBA8vZW6RqUkEkkiI7duzg448/pnPnzgDs27ePBx54gOuuu27/t3EiIiLJMmjQIEaPHk1eXh4XX3wxt99++/5iSKQ6U0EkkmSrV69m1KhRjB8/nvr167N+/XoA3n333RRHJiIimeyhhx6iX79+3HXXXZx88smpDkckaVQQiSTJihUr+P3vf8/UqVM55JBD6Nu3L7feequ+fRMRkaT78ssvuf/++znyyCO5//77AVi7di0tW7ZMcWQiyRflc4hEMp67s3dv8OzhL7/8kjlz5jBkyBDWr1/PM888w+mnn57iCEVEJJPs2LGDIUOGcNxxxzF69Gh27969f5uKIclU6iESiUBhYSEvv/wyDz74IF27dgXgnHPOYcOGDZqdR0REUmL69Olcf/31bNu2jb59+zJ06FBat26d6rBEUk49RCIJ5O5Mnz6d9u3bc9FFF7Flyxbatm0LBDPFqRgSEZFkKigoYMeOHQAcf/zxdO7cmUWLFjFhwgQVQyIhFUQiCTRkyBAuuugi8vLyeO6551i9ejX9+/dPdVgiIpKB5s6dS4cOHRgwYAAAbdq0YebMmbRv3z7FkYmkFw2ZE6mkuXPncvTRR3PCCSdwzTXXcPzxx3P11VdTq5b+9xIRkeT79NNPGTRoEFOmTCErK4tLLrkk1SGJpDX1EIlU0OLFiznvvPPo3r07I0eOBOCEE07guuuuUzEkIiIpMW3aNE466SRee+01hg0bxscff8yVV16Z6rBE0poKIpGDtGHDBq655ho6dOjA4sWLeeihh3j00UdTHZaIiGQod+err74C4Mwzz6R///6sWbOGIUOGULdu3RRHJ5L+9DW2yEF69NFHmTRpEnfccQeDBw+mQYMGqQ5JREQy1Mcff8wtt9zC7t27mT9/Pk2aNOHJJ59MdVgiVYp6iETKkZ+fz+OPP87cuXMBuOuuu1i1ahXDhw9XMSQiIimRl5fH3XffTdu2bVm8eDE33HADZpbqsESqJBVEImV46623OO200xg4cCCTJk0CoEGDBjRv3jzFkYmISKZatWoVbdq04YEHHqBv376sWrWKG2+8kRo19GedSEXo/xyREqxfv57LL7+cn/zkJ+zZs4epU6fy+OOPpzosEakgM+thZqvMbK2ZDS5h+2/N7EMzW2Zmb5lZ85htBWa2JHzNSG7kIv/m7gC0aNGCtm3bMnv2bJ599lm+973vpTgykapNBZFICWbMmMErr7zC0KFDWblyJRdddJGGIohUUWZWE3gcuAA4GehnZicXa7YYyHb3tsBk4A8x2/7l7u3CV++kBC0Sw92ZOHEiHTt2ZNeuXdSpU4fp06fTvXv3VIcmUi2oIBIJvfLKK0yZMgWAm266iVWrVnHPPfdohh6Rqq8TsNbdP3X3b4GJQJ/YBu4+x93zwsUFQLMkxyhSotzcXK644gr69etHzZo12b59e6pDEql2VBBJxlu/fj29evWiV69ejBo1CnenVq1aZGVlpTo0EUmMpsCGmOWN4brS3AD8LWb5UDPLMbMFZnZRSTuY2YCwTU5ubm7lIxYBpkyZQps2bZgxYwYPPvgg7733nnKTSAQ07bZkrIKCAkaPHs2dd95JYWEhI0eO5Fe/+pWGxolkMDP7GZANdItZ3dzdN5nZccBsM1vu7p/E7ufuY4GxANnZ2Z60gKXacnceffRRmjVrxuzZsznllFNSHZJItaWCSDLW22+/zS9/+UvOP/98Ro8eTcuWLVMdkohEYxNwbMxys3Ddd5jZT4C7gW7uvrdovbtvCv/91MzmAu2BT4rvL5IIr776Ku3bt+eYY45h0qRJNGjQgNq1a6c6LJFqTUPmJKPs3buXt99+G4BzzjmHOXPm8Le//U3FkEj19gHQ2sxamtkhQF/gO7PFmVl74Emgt7tviVnf0MzqhO8bA2cCHyYtcskYX3/9Nddddx09e/ZkxIgRADRp0kTFkEgSqCCSjDFv3jzatWvHT3/6UzZv3gzA2WefrSFyItWcu+8DBgKvAx8Bk9x9pZkNNbOiWeNGAocDLxabXvskIMfMlgJzgOHuroJIEur111/n1FNP5bnnnuPuu+9m5MiRqQ5JJKNoyJxUezt27ODOO+9k9OjRNG/enBkzZnD00UenOiwRSSJ3nwnMLLbu9zHvf1LKfn8HTo02OslkTz/9NNdffz0nnXQSU6ZMoWPHjqkOSSTjqCCSai0vL4+2bduyceNGfvOb3zB06FAOP/zwVIclIiIZbu/evdSpU4c+ffpw7733MnjwYA499NBUhyWSkVQQSbW0a9cu6tevT7169bj99tvp0qWLvnUTEZGU++abbxg8eDDvv/8+7733Ho0aNeK+++5LdVgiGU33EEm14u489dRTZGVlMXfuXAB++ctfqhgSEZGUe++992jXrh2PPfYYXbt2paCgINUhiQgqiKQaWb16Nd27d+fnP/857dq1o2nTsp67KCIikhx79uzh9ttv50c/+hEFBQXMnTuXhx9+WEPkRNKECiKpFh5++GHatm3LkiVLeOqpp5g9ezatW7dOdVgiIiIAvPbaa9x4440sW7aMbt26lb+DiCSN7iGSaqFmzZr06tWLUaNGaQY5ERFJub179/LQQw8xcOBA6tevz/vvv89hhx2W6rBEpATqIZIqaffu3fz2t7/lL3/5CwADBw7kxRdf5OijjyY3L5f+r/Vn67+2pjhKERHJRAsXLqRDhw7cddddTJs2DUDFkEgaU0EkVc7MmTNp06YNf/zjH/nww+D5iLEPVx2zbAyLvlzEmKVjUhWiiIhkoG+//ZZ7772Xzp07s337dl599VWuvvrqVIclIuVQQSRVxhdffEHfvn35j//4Dw4//HDmzZvHAw888J02uXm5TF87HceZtnaaeolERCRpbr31VoYOHUq/fv1YsWIFF154YYntNJJBJL2oIJIq4x//+AdTp05l2LBhLF68mDPPPPOANmOWjaHQCwEo9EL1EomISKT27t3LV199BcAdd9zBjBkzeO6552jYsGGp+2gkg0h6UUEkae3jjz/ef59Q7969+fTTTxkyZAiHHHLIAW2LeofyC/MByC/MVy+RiIhEJicnhw4dOnDttdfi7rRs2ZJevXqVuY9GMoikHxVEkpa++eYb7rrrLk477TQGDRpEXl4eQJnPFortHSqiXiIREUm0vLw8Bg8eTJcuXfj666+55ZZbvnMva1k0kkEk/aggkrTi7rzwwguceOKJPPjgg/Tt25clS5ZQr169cvddumXp/t6hIvmF+SzZsiSqcEVEJMMsWbKENm3aMGLECK699toy7xUqTiMZRNKTnkMkaSE3L5dB7wzi5mY3c9VVV3Haaafxwgsv0LVr17iPMbn35AgjFBGRTObumBnNmzenRYsWjB8//qAfsFrWSIYhXYYkMlwROQgqiCTlNm3axO2v3c7KWiuZ1WAWb7/9NmeccQY1a9ZMdWgiIpLh9uzZw8MPP8wrc16h1a9b8X9n/x9z5syp0LE0kkEkPakgkpT5+uuvGTFiBI89/RhZw7KoQQ2mrZ3GTZfepGJIRERSyt2ZOHEigwcPZv369Zxxzxks3rK4Ur05Gskgkp50D5Ek3c6dOxk2bBitWrVi+PDhdBjYgUPqBLPG6QZTERFJtc8//5wuXbpw1VVX0ahRI6bOmsq3P/xWM8OJVFMqiCRp9u3bt//fkSNHcsYZZzD7/dnsbrGbfR5s0w2mIiKSCu7OunXrAPje975H/fr1efrpp8nJyWH54cs1M5xINRZpQWRmPcxslZmtNbPBJWyvY2YvhNvfN7MWUcYjyVdYWMibb77J5ZdfzhlnnIG706hRIz755BNeeeUV5hXO01TZIhK5yuQjM7szXL/KzM5PZtwSvZ07d/L4449zyimn0KlTJ7755htq1arFm2++Sf/+/dm2d5tmhhOp5iIriMysJvA4cAFwMtDPzE4u1uwGYLu7Hw/8ERgRVTySWLl5ufR/rX+pCeGjjz5i0KBBHH/88Zx33nnMmTOHbt268e233wLQpEkTQDeYikj0KpOPwnZ9gTZAD+CJ8HiS5srLU8uXL6d///40bdqUgQMHUq9ePUaOHHnAg7/1jDuR6i/KSRU6AWvd/VMAM5sI9AE+jGnTB7gvfD8ZeMzMzN09wrgkAcYsG8OiLxfxxOInuLbptaxZs4YVK1bQu3dvjjvuOBYuXMgjjzzCueeey7Bhw7j00ks59NBDDziObjAVkSSocD4K1090973AP81sbXi8+UmKXSqoKE+NXjyaa5pew+rVq1m8eDHdu3enY8eObN++nWnTpnH55Zdz00030alTpxKPoy/uRKq/KAuipsCGmOWNQOfS2rj7PjPbARwFqB86jeXm5TJ19VQc54WVLzDswmHs2xHcA3TEEUdw3HHHcemll9KzZ08aNGiQ4mhFRCqVj5oCC4rt2zS6UCURcvNymbZmGo4zceVEhl44dH+eGjFiBB07duSss85iy5YtB/QIFacv7kSqvyox7baZDQAGAGRlZaU4mgx235EAjDmqIRx+ONQw6tQy7h3WlCFfbQ/aXH89AHXr1qVu3bpxHa/sNjsOKraEHCsiwZfNJWvYsGESIxGRRFOeShMxecpLy1N33AFAjRo1yi2GlKf+TXmqfLGfX9F7DXqqGqIsiDYBx8YsNwvXldRmo5nVAo4Evip+IHcfC4wFyM7O1n9ZqXLfDnLzcpk+5QLyC/YCkF/DmNawMTf9Vw6N6zY+6OMlMrZ0pl+IIilVmXwUz77KU+lCearClKcqT59h1RXlLHMfAK3NrKWZHUJwU+qMYm1mANeG7y8DZuv+ofSmm0tFpAqqTD6aAfQNZ6FrCbQG/pGkuKUClKdE5GBF1kMUjsEeCLwO1ATGuftKMxsK5Lj7DODPwHPhTarbCJKUpDHdXCoiVU1l8lHYbhLBBAz7gF+4e0FKLkTiojwlIgfLqlqHTHZ2tufk5KQ6DBGRjGZmC909O9VxpCPlKRGR1DuYPBXpg1lFRERERETSmQoiERERERHJWCqIREREREQkY6kgEhERERGRjKWCSEREREREMpYKIhERERERyVhVbtptM8sFPkt1HAJAY2Brmh4v0bElWrrHl8702aWH5u7eJNVBpCPlqbSiPFVx6R5fOtNnlx7izlNVriCS9GFmOYl8Dkkij5fo2BIt3eNLZ/rsRCReylMVl+7xpTN9dlWPhsyJiIiIiEjGUkEkIiIiIiIZSwWRVMbYND5eomNLtHSPL53psxOReClPVVy6x5fO9NlVMbqHSEREREREMpZ6iEREREREJGOpIJJymVkPM1tlZmvNbHAJ2+uY2Qvh9vfNrEUljvVjM1tkZvvM7LIExPZbM/vQzJaZ2Vtm1rz8K06M8mKLaXepmbmZaUaaUBw/1ywzm2Nmi8Of7YWpiFNE0oPyVMUpV1WcclU14u566VXqC6gJfAIcBxwCLAVOLtbmFmBM+L4v8EIljtUCaAs8C1yWgNi6A/XC9zeXFlsqPrewXX3gHWABkJ3qn3c6vOL8uY4Fbg7fnwysS3XceumlV2peylPRfnZhO+Wqiv1slauqyEs9RFKeTsBad//U3b8FJgJ9irXpAzwTvp8MnGtmVpFjufs6d18GFCYiNnef4+554eICoFkcx02EeD43gGHACGBPkuKqCuL57Bw4Inx/JPB5EuMTkfSiPFVxylUVp1xVjaggkvI0BTbELG8M15XYxt33ATuAoyp4rETHFusG4G+VON/BKDc2MzsdONbdX01STFVFPD/X+4CfmdlGYCbwy+SEJiJpSHmq4pSrKk65qhpRQSQZwcx+BmQDI1MdC4CZ1QAeAm5LdSxVVD9gvLs3Ay4Engs/UxGRKind8hQoVyWAclUVoR+KlGcTcGzMcrNwXYltzKwWQbfwVxU8VqJjw8x+AtwN9Hb3vZU4XyJjqw+cAsw1s3VAF2CGblYF4vu53gBMAnD3+cChQOOkRCci6UZ5quKUqypOuaoaUUEk5fkAaG1mLc3sEIKbUWcUazMDuDZ8fxkw291LesBVPMdKaGxm1h54kiDJbKnEuRIam7vvcPfG7t7C3VsQjBvv7e45SYwxXcXz38l64FwAMzuJIMnkJjVKEUkXylMRxadcVSblqmpEBZGUKRxrPRB4HfgImOTuK81sqJn1Dpv9GTjKzNYCvwVKnLYznmOZWcdwrO3lwJNmtrKSsY0EDgdeNLMlZlaZxBa3OGOTEsT52d0G/NzMlgITgP6l/HEjItWc8lTFKVdVnHJV9WL6uYiIiIiISKZSD5GIiIiIiGQsFUQiIiIiIpKxVBCJiIiIiEjGUkEkIiIiIiIZSwWRiIiIiIhkLBVEIiIiIiKSsVQQScYyswZmdkvM8jFmNjmic11kZr8P3483s8uiOE8p5+5pZkOTdT4REUkM5SmR5FBBJJmsAbA/0bj75+4eVQK4A3giomMDYGY1S9n0KtDLzOpFeX4REUk45SmRJFBBJJlsONAqfDL4SDNrYWYrAMysv5lNM7NZZrbOzAaa2W/NbLGZLTCzRmG7Vmb2mpktNLN3zezE4icxsx8Ce919a8zqH5vZ383s06Jv4Sww0sxWmNlyM7syXH+2mb0Sc7zHzKx/+H6dmY0ws/9n787jdKz3P46/PjPGNlRqhrLvylJmTGjVQmQpUvaUFnFOcTrnhH6VIhXlKC1Ip1Kpo6hQROVUVMggQk2JbCNjX7IMM9/fH9c9c8Y0w23MPdcs7+fjMQ9z3/d1Xff7Ntyf+dzX9/p+lwG3mNkAM1tjZivNbApAYFXsL4H2uf9XKCIiIaQ6JZIHivkdQMRHQ4CGzrnGAGZWPdPjDYEYoCSwFhjsnIsxs2eB3sBzwESgn3PuFzNrhvfp2jWZjnMZsCzTfecBlwPnAzOBacBNQGPgIiAKWGJm84N4HTudc7GB15AI1HDOHTGzszJsEw9cAbwXxPFERCR/UJ0SyQNqiESy94Vzbj+w38z2Ah8F7v8BuNDMygCXAlPNLG2fElkc5zxge6b7pjvnUoE1ZlYhcN/lwH+ccynANjP7CrgY2HeSnO9m+H4l8LaZTQemZ7g/Cah4kuOIiEjBojolkgvUEIlk70iG71Mz3E7F+78TBuxJ++TuBA4BZ57g2MaJHeP44a0lMz3+R4bv2wFXAh2Ah8yskXPuWGCfQyd5HhERKVhUp0Ryga4hkqJsP1A2pzs75/YB683sFkgfW31RFpv+CNQO4pALgK5mFm5m0XgF4ztgA1DfzEoEhhdcm9XOZhYGVHHOfQEMxituZQIP1wVWBf/qREQkH1CdEskDaoikyHLO7QS+CVwc+kwOD9MTuNPMVgCrgRuz2GY+EGMZxitk40O8oQQrgP8Cg5xzvzvnNuGNqV4V+HN5NvuHA5PN7IfANs875/YEHrsabxYfEREpIFSnRPKGeRN7iEgomdlY4CPn3Oc+PHcF4B3nXJaf2ImIiKhOSVGmM0RSJJlZfTOLD+LTsNzyJHDc+grmLXw3IvD9FWaWkNtPamZfAvcB/8jiscfMbHKQx0nPmoMMubKvmV1oZt/m5DgiIgWNmUWb2U9mViqPnjKrOpVeJ8ysqpkdsOzXEsoRM5sUeO6s6tTtZvZ1kMcJuqaFal8zq2BmP5pZVhNXSD6mhkgKBTM728w+NLM/zGyDmfU4yS6PA6NdHp0idc5tc87NPMHjC5xz9UL09L85574P0bHzjHNuJbDHzDr4nUVE5FSZt05QvJkdCTQBJzMEmOScy5OJBoKoUxudc2UCM8zltq2FpE5tA74A+vqdRU6NGiIpLF4CkoEKeOOlx5tZg6w2NLPz8MYqT8/qccnX3gbu8TuEiEgOJAIjgNdOtmHgDMNtQI7OWoivVKcKIDVEkiNmFmveatj7zWyqmb2bcViUmbU3b2XtPeatdH1hhsd+M7N/mrdK9d7AviWD2TebLJFAZ+AR59wB59zXeIvI3ZrNLq2AZc65wxmO4cysdobbGYdqXWVmm83sH2aWZGZbzaxPhm3bmrfq9n4z22Jm/8y03/+Z2Y7A6+6ZzWu4ysw2Z7hdxcw+MLPtZrbTzF7M8NgdgVPyu81srplVy/BYq8AQi72BfYIeEhj4Of4e2Hd+Fg1llHkrou83s68yPe/5gcd2mVmCmXU5wfOc6N9GjJktCzzHu/x56tYvgWs1HEFETiY/1SkA59wHzrnpwM4g4jfDmy47Y134zcxaZridcahW9UAdu83MNgZqzkMZtm0aODu1z8y2mdmYTPv1NbPEQH37ZzZ/n2nbFgvcPtvMXg/st9u8dYWC+bs92ft8tsxsrJltCryOpWZ2RaZNSgZ+VvsDz3FRhn0rmtn7gbq63swGnOB5mgdy7zGzFWZ2VYbHagRq4H4z+wxvgdqMFgM1M9ZIyf/UEMkpM7PieDPNTALOBv4DdMrweAzeJ2D3AOcALwMzM/0S2wVoA9QALgRuP4V9M6sLHHPO/ZzhvhVAlmeIgEbAqV6vcy7e9KCVgDuBl8ysXOCxV4F7nHNl8VYN/2+m/aIC+90GTDSzEw6NM2989sd405hWD+w7JfDYjcD/4a0WHo03Bep/Ao9FAR8ADwee81e81ceD9QlQByiPt2L525ke74k31DAK+D7tcfMa0s+AdwL7dgPGmVn9LF5btj/fwL+r6cBbeP+upuI1uumcc1uAo0CohheKSCGQD+vUqcpJnQJv4dR6eNM0BXCkAAAgAElEQVReDzWzCwL3jwXGOufOAGrhzQSX0dV47//XAYMzNl4n8BbeNUcN8N77n4XTf58/iSVA48C+7+AtOJuxoboxcMy0x6ebWYR5031/hPe7QSW8v5+/mVnrzE9gZpXwZrsbETjOP4H3zZtmnMBxl+LVwsfxanu6wJpKa4GspjeXfEoNkeREc7wF3553zh11zn2Atw5Bmr7Ay865xc65FOfcG3gLvDXPsM3zzrlE59wuvDepxqewb2Zl+PMq2XvJfu2Gs/DWdjgVR4Hhgdc7GzjA/34pP4q3/sIZzrndzrllmfZ9xDl3xDn3Fd6bbLZnTwKa4q3W/YBz7g/n3OHAWS+AfsBTzrkfA2+6TwKNA59EtQVWO+emOeeOAs8Bvwf7Ap1zrznn9jvnjgCPAReZWcaF+mY55+YHHn8IuMTMqgDt8a5Tet05d8w5txx4H7gli6c50c+3ORABPBf4e56GV/wy24/3MxQRyU5+q1OnKid1CmCYc+6Qc24F3i//ab+UHwVqm1lUYCTFoiz2+8M59wPwOtD9RE9i3tDz64F+gbp3NFDjIHfe57PknJvsnNsZqDX/Akpw/AdkSzPUwDF4Z5+aAxcD0c654c65ZOfcOuAVvA/wMusFzHbOzXbOpTrnPgPigbZmVjVwrLS6Ph/v30ZmqlMFjBoiyYmKwJZMExJsyvB9NeAfgVPNe8xsD1AlsF+ajL+oH+R/C7MFs29mB4AzMt13BtkXk92c+kJ3OwMNSFaZO+M1IxsCp9EvyfhczrmMK3Rv4MSvBbzXuyHT86WpBozN8HezC29YXKXAcdN/DoGfz6YsjvEn5i2yN9LMfjWzfcBvgYcyDgXIeOwDgeeuGMjULNPPrCfe2bGs8mf3883q39WGLI5RFtiTxf0iImnyW506VTmpU5B95jvxRlP8ZGZLzKx9pv0y/t0EW6d2Oed2Z/FYbrzPZ8m8YYw/mjeMcQ/eyI3s6lQqsJn/1amKmTL9H951x1nlvyXTtpcD5wWOlVVdz0x1qoBRQyQ5sRWoZHbclNVVMny/CXjCOXdWhq/Szrn/BHHsnOz7M1DMzOpkuO8ivAXosrISrzBkdJDjpxvN6pf5LDnnljjnbsQbMjCd44cilAsMKUtTFe/C2hPZBFRNG6edxWP3ZPr7KeWc+xbv55L+cwj8fKpkcYys9MAbatASr8BUTztMhm0yHrsM3lCCxECmrzJlKuOc659N/ux+vln9u6qacefAUIbi5GwoiYgUHfmtTp2qrOrUH+S8Tv3inOuOV6dGAdMy1aaMfzfB1qmzzSyrsyCn9T6fncD1QoPwRlmUc86dhTcaJLs6FQZU5n91an2mTGWdc22zyf9Wpm0jnXMjA/mzqusZcxYDauOdoZMCQg2R5MRCIAW418yKBa5raZrh8VeAfmbWzDyRZtbOzIL5tOuU9w18UvMBMDyw/WV4v9y/lc0unwGxmcYdfw/0CJwpaQO0CCIrZlbczHqa2ZmBU/T7gNRMmw0LbHcF3vCyqSc57Hd4b7ojA6+nZOA1AUwAHrTAhAdmdqaZpQ1NmwU0MLObAm/IAwi+YJbFG9KwE6/gPpnFNm3N7PLAGPDHgUXOW538Y6Cumd0aGKsdYWYXZxi7ntGJfr4LgWPAgMAxbuL4f1fg/Vz+Gxi2JyKSnXxVp8D7RTlQd8KB8MB7e1YffIFXB84KfAiU5nugW+D9MQ64OYisac/dy8yiA2dN0s5cZKxVj5hZ6UBt6QO8e6LjOee24l13Os7MygUyXRl4+HTf57NTNrDvdrwPQYfy59EhTTLUwL/h1bVFeH+f+81ssJmVCtT6hmZ2cRbPMxnoYGatA9uVNG/io8rOuQ14w+fS6vrlQOalIJriDSMP+syX+E8NkZwy51wy3kX9d+K9sfbC+6X4SODxeOBu4EW80/5rCVyMGsSxc7rvX4BSQBLexbP9nXNZniFy3joB/8VrmtIMxHtTSxvudSpTct8K/GbeULN+gf3T/B54HYl4kxD0c879dKKDOW+Nhw54nzBtxDvl3zXw2Id4n+5NCTzfKrxx3DjnduBdtzMSr7GpA3wT5Gt4E++0/xZgDV4Byewd4FG8oXJN8H7uOOf2412I2y3wOn8PZPzTBcYn+vlm+Hd1e+A5uuI1uhn1xGsKRUSylU/r1MPAIbz1hXoFvn/4BPknBbZL8wjehAi7gWF478nBagOsNrMDeBMsdHPHr2/0VeB1zMNbo+/TII55K961ST/h1d6/BbKf7vt8duYCc/BGhWwADvPnYeEzAsfcHch3U+BapRS8DyQbA+uBHcC/8UZEHCfwQV/aBEbbA8/xAP/7nbkH3iyAu/Bq4puZDqE6VQCZy5t1KaWQM7PFwATn3Ot+ZwmGeTOgvQE0dSH6T2DeNJ2TnXOVQ3H8osa8aVtfds5dctKNRUQyKYB1Km0m0RgXosVZzaw6XoMQkc11q3IKzKw8XnMZ4zIs7SH5X3anakVOyMxa4F3HsQPv05AL8T65KRCcc2vwZoqRAsI5txJQMyQiQSkEdWo7cL7fOSR4zrkkIKvh4pLPqSGSnKqHN3lAJLAOuDkwpjgkzJvqck02D9d3zm0M1XOLiEiBpDolIkHRkDkRERERESmyNKmCiIiIiIgUWWqIRERERESkyArZNURm9hreFIdJzrmGWTxueFM/tsVbFPN259yykx03KirKVa9ePZfTiojIqVi6dOkO51y03znyI9UpERH/nUqdCuWkCpPw5qDPPD97muvx1kmpgzef+/jAnydUvXp14uPjcymiiIjkhJlp0cFsqE6JiPjvVOpUyIbMOefm4y1alZ0bgTedZxHeisznhSqPiIiIiIhIZn5eQ1SJ41cY3hy4T0REREREJE8UiEkVzKyvmcWbWfz27dv9jiMiIiIiIoWEnw3RFqBKhtuVA/f9iXNuonMuzjkXFx2ta3hFRERERCR3+NkQzQR6m6c5sDeUK0iLiIhkZmavmVmSma3K5nEzs+fNbK2ZrTSz2LzOKCIioRXKabf/A1wFRJnZZuBRIALAOTcBmI035fZavGm3+4Qqi4iISDYmEYIZUUVEpOAIWUPknOt+kscd8NdQPb+IiMjJOOfmm1n1E2ySPiMqsMjMzjKz8zSiQUSk8CgQkyqIiEjOOOfYvXs3W7ZkeYmmnFxQM6Jq8h8RkZxxzrFv3z42btzoW4ZQLswqIiIh8McffxAeHk7JkiVJTExkzpw5JCUlpX9t376dkSNHEhMTw9tvv82tt95KTEwMy5Yt8zt6oeWcmwhMBIiLi3M+xxER8VVycjJHjhyhbNmyHD16lClTphxXp5KSkrjpppu48847SUxMpHLlypQvX55t27b5klcNkYhIPuCcY8+ePSQmJrJ161Zq1apFjRo1WLduHUOGDGHr1q0kJiby+++/c/DgQaZMmULXrl1JSEjgzjvvBCAyMpLy5ctTvnx5Dh06BEDTpk0ZM2YMNWrU8PPlFWRBz4gqIlLYHT58OL0elSxZkiZNmgBw1113sWHDBhITE0lMTGTPnj3cc889TJgwgbCwMG6//XZSU1MpUaJEep06cuQIAOXLl2f06NGce+65vr0uNUQiIiF27NgxEhMT2bRpExs3bmTTpk3ExsbSsmVLtm7dymWXXUZiYmJ6cQAYPXo0//jHPwBYsWIFFStWpFmzZpx77rlUqFCBRo0aAdC8eXN+++03oqOjKV269J+eu27dutStWzdvXmjhNBO418ym4E2moBlRRaTQSftQLq1Gbdy4kVKlStGnjzfnWevWrVmyZAm7d+9O36ddu3Z8/PHHAKxevRqA888/n6uvvppzzz2Xpk2bAhAeHs4vv/xCVFQUZcuWxcyOe+6IiIj0eucXNUQiIqdp586dbNy48bhC0rBhQ3r37k1ycjKlS5cmJSXluH0eeOABWrZsSbly5bjkkkuoWLEi5513Xvqf559/PgA1a9YkISEh2+cuVaoU1apVC+nrK8w0I6qIFAXJycls3rw5vVZt3LiRlJQUHn30UQBatWrFvHnzjtsnNjY2vSGKjY2lTp066XWqYsWKx408WLhw4Qmfv2bNmrn8inKXeRPnFBxxcXEuPj7e7xgiUoQcOnSI9evXs27duvSv8847j8GDBwNQoUIFkpKS0rcvUaIEffr0Yfz48QA8+eSTREdHU6VKFapWrUqVKlUoW7asL68lt5jZUudcnN858iPVKRHJa845kpKS+PXXX9Pr1O+//864ceMA6NatG+++++5x+9SpU4eff/4ZgDfeeIMdO3ZQtWrV9K8KFSoQFlZw5187lTqlhkhEBO8sT0JCAr/88gvr1q3DzHjssccAaNKkyXETEkRGRtK+fXumTJkCwDvvvEOpUqXSG57o6Og/DQkobNQQZU91SkRCISUlhd9++42EhIT0xueJJ56gdOnSDB48mKeffvq47StVqsQvv/xCqVKl+Oyzz9i8eXN6s1O5cmVKlSrl0yvJG2qIRESycPjwYX799VcSEhLYsmUL9913HwDdu3dPb24AzIzY2FjS3mvef/99kpOTqVmzJjVq1CgSDc/JqCHKnuqUiJyOnTt38vPPP5OQkEC7du2Ijo5m0qRJ3HPPPSQnJ6dvV7p0aVasWEHt2rX5+uuvWb58ObVq1aJmzZpUr16dkiVL+vgq/KeGSESKtL1797J69WqaNWtGeHg4L774ImPGjOG3334j7T3PzPjjjz8oVaoU77//Phs2bEifgKBatWqUKFHC51eRv6khyp7qlIicjHOOzZs3U6ZMGcqVK8eSJUv429/+RkJCAjt37kzfbvbs2Vx//fXEx8czdepU6tatS7169ahduzYVKlQo8h/Oncip1ClNqiAiBd6KFSuYPHkyq1atYvXq1Wza5K2j+fPPP1OnTh2io6Np1qwZvXv3pl69eumNT9pwgc6dO/sZX0RECrm9e/fy5ptvsmrVqvSvffv2MXHiRO6++24iIyOJiIigc+fO1KtXL/2revXqAMTFxREXp8+gQkVniEQk33POsWnTJpYtW8by5cv5/vvvWbVqFa+//jpXXnklH3zwAT169OCCCy6gQYMGNGzYkAYNGnDVVVcV+MkL8iudIcqe6pRI0XT06FF+/PFHli9fzrJly/jhhx9o3749f//739m1axfnnHMOZ599No0aNaJhw4Y0bNiQli1bUrt2bb+jF0o6QyQiBVZKSgoJCQksX76c+vXrExMTw3fffUfz5s0BCAsLo27dusTFxaWf4enQoQMHDhygWDG9pYmISOgdPHiQlStXkpyczJVXXklqairnnnsuu3btArzrexo1apRep84++2x+//13ypcvr2Fu+ZB+exAR3x06dIgHHniA+Ph4Vq5cyaFDhwAYPHgwMTExNGrUiHHjxqV/HxkZedz+ERERfsQWEZEi5M033+TTTz9l2bJlJCQkkJqaSrNmzVi0aBFhYWE8+uijREVFERMTQ926dQkPDz9u/woVKviUXE5GQ+ZEJM8kJSWxePFivvvuOxYvXswFF1zA2LFjcc5Rq1YtqlatSmxsLI0bNyYmJobzzz9fzU4+pSFz2VOdEim4nHOsXbuWxYsXs3jxYjZt2sT06dMB73rTRYsW0aRJE2JiYoiJiSE2NpaqVav6nFqyoiFzIuK7lJQUNm7cmL6SdatWrfj8888BCA8Pp1GjRlxxxRWAN+Pbr7/+qmEEIiKSp9JmGw0LC+OFF17gscceSx/2FhkZSVxcHIcPH6ZkyZJMnjy50K/dU1SpIRKRXHHo0CEWL17M119/zYIFC1i4cCHFixdn+/btmBmdOnWiTZs2NG3alNjY2D8Ne1MzJCIiobZjx470OrVgwQKWLVvGihUraNCgAdWrV+emm26iadOmNGvWjPr16x93baqaocJLDZGI5Mi+ffuYP38+rVq1okSJEgwdOpTRo0cD0LBhQ3r16sUVV1xBSkoKxYoV4y9/+YvPiUVEpKjZvHkzERERVKhQgXnz5tGyZUsASpQoQdOmTRk8eDBlypQBvAl6OnTo4Gdc8YkaIhEJypEjR/j222+ZN28e8+bNY8mSJaSkpPDNN99w6aWXcvvtt9OiRQsuu+wyypUr53dcEREpgnbt2sUXX3yRXqt+/vlnnnzySR588EFiY2N56qmnuPzyy7n44ou1ALekU0MkIllKSUlh6dKlnHPOOdSqVYtFixZxzTXXEB4ezsUXX8yQIUO49tpriY2NBaBBgwY0aNDA59QiIlKUHDx4kK1bt1KrVi2Sk5OpXLkyhw4dokyZMlx55ZXcc8896Wd9ypUrx5AhQ3xOLPmRGiIRSbdt2zbmzJnDJ598wqeffsru3bsZNGgQo0aNonnz5sycOZMWLVpwxhln+B1VRESKIOccCQkJzJ49m08++YT58+cTExPDokWLKF68OOPHj6d27do0bdpUs5RK0NQQiRRhKSkpJCYmUqVKFVJTU6lfvz67du2iQoUK3HDDDbRu3Zprr70W8MZba2y1iIjktbRZ3gDuuOMOJk2aBED9+vW57777aN26dfq2t912mx8RpYBTQyRSxOzbt49PPvmEmTNnMnfuXKKiovjpp58ICwtj4sSJ1KhRg8aNGxMWFuZ3VBERKaI2btzIjBkzmDVrFvPnz2f9+vVUqFCBW265hWbNmnH99ddTrVo1v2NKIaGGSKQIGTlyJEOHDuXo0aNER0fTrl07rr/+epxzmBmdO3f2O6KIiBRh8fHx9OvXj6VLlwJQt25d+vXrx7FjxwBo27atn/GkkFJDJFJI/fLLL3z44YdMnz6dN954gzp16nDhhRcyYMAAOnbsyCWXXEJ4eLjfMUVEpIhKTU1l0aJFTJ8+nUsvvZSOHTtSoUIFIiIiGDVqFDfeeCP16tXzO6YUAWqIRAqR3bt3M378eN59911WrlwJQGxsLDt27KBOnTq0bdtWn66JiIhvnHMsXLiQKVOmMG3aNLZu3UqxYsUoXbo0HTt2pEqVKixcuNDvmFLEqCESKeA2bdrEzp07ady4Mc45hg0bRlxcHM899xwdO3bUGGsREfGVc44NGzZQvXp1zIz+/fuTkJBAu3bt6Ny5M23btuWss87yO6YUYWqIRAqgpKQk3n33Xd59912++eYbLr/8chYsWMDZZ5/Nli1biIqK8juiiIgUcatXr2bKlClMmTKFxMREkpKSiIyM5J133qFKlSpawkHyDTVEIgXMgw8+yOjRozl27BiNGjVixIgRdO3aNf1xNUMiIuKnBQsWcP/997N06VLCwsK45pprGDJkSPrspVrEW/IbNUQi+Zhzjvj4eN566y2GDRtGuXLlaNiwIffffz+9e/emYcOGfkcUEZEi7ujRo8yePZvq1atz0UUXUbZsWVJTU3nuuefo1q0bFSpU8DuiyAmpIRLJh5KSkpg0aRKTJk3ixx9/TF8UtVWrVvTs2ZOePXv6HVFERIq4lStX8tprr/H222+zY8cO+vfvz7hx42jcuDHLli3zO55I0NQQieQziYmJVK9enaNHj3LppZfy8ssv06VLF11wKiIi+caNN97IzJkzKV68ODfccAO33XYbrVu39juWSI6oIRLx2Y4dO3jjjTfYvn07I0eOpGLFijzzzDNcd911XHDBBX7HExERYc2aNUyZMoXHHnss/bqgq666it69e3POOef4HU/ktKghEvHJokWLePHFF5k6dSrJyclcffXVpKamEhYWxsCBA/2OJyIiRVxycjLvv/8+48ePZ8GCBURERNC5c2cuuugi1SkpVML8DiBSFI0dO5ZLLrmEjz76iL59+/LDDz/w3//+N30GHhERET/9/PPP1KhRgx49epCYmMjTTz/Nli1buOiii/yOJpLrdIZIJA/s2LGDiRMnctlll9GiRQs6depEsWLFuO222yhTpozf8URERFi1ahW//fYb7du3p2bNmlxzzTV0796dNm3a6AM7KdRC+q/bzNqYWYKZrTWzIVk8XtXMvjCz5Wa20szahjKPSF5bs2YNd999N1WqVOGhhx7is88+A6Bq1ar89a9/VTMkIiK+Sk1N5eOPP6Zly5Y0atSIAQMGkJqaSrFixXjrrbdo27atmiEp9EL2L9zMwoGXgOuB+kB3M6ufabOHgfecczFAN2BcqPKI5LV+/frRoEED3n77bXr37s2qVasYMWKE37FEREQA+Pzzz2nUqBEdOnQgISGBp556iiVLlqgBkiInlEPmmgJrnXPrAMxsCnAjsCbDNg44I/D9mUBiCPOIhJRzjnnz5tGiRQsiIiJo3LgxQ4cO5b777iMqKsrveCIiIhw8eJAjR45Qrlw5ihUrRlhYGJMnT6ZLly5ERET4HU/EF6H8CKASsCnD7c2B+zJ6DOhlZpuB2cB9WR3IzPqaWbyZxW/fvj0UWUVyLCUlhffee48mTZrQqlUrpk2bBnhniIYNG6ZmSEREfLd7925GjBhBtWrVGDp0KAAtWrRg5cqV9OzZU82QFGl+nxPtDkxyzlUG2gJvmdmfMjnnJjrn4pxzcdHR0XkeUiQrqamp/Oc//6Fhw4Z07dqVP/74g1dffZXOnTv7HU1ERATwGqFHHnmEatWq8cgjj9CsWTO6desGgJlhZj4nFPFfKIfMbQGqZLhdOXBfRncCbQCccwvNrCQQBSSFMJdIrnniiScoVqwYU6dOpVOnToSHh/sdSUROgZm1AcYC4cC/nXMjMz1eFXgDOCuwzRDn3Ow8DyqSQ4MGDeLf//43t9xyCw8//DAXXnih35FE8p1QniFaAtQxsxpmVhxv0oSZmbbZCFwLYGYXACUBjYmTfCk1NZX333+fFi1asHfvXsLCwpg7dy4rVqzg5ptvVjMkUsBo8h8pjPbu3cvw4cP5/vvvAXj44YdZsWIF7733npohkWyErCFyzh0D7gXmAj/iFZTVZjbczG4IbPYP4G4zWwH8B7jdOedClUkkJ5xzfPLJJ8TGxnLzzTezbds2Nm7cCEClSpU0G49IwZU++Y9zLhlIm/wnI03+IwXCwYMHeeqpp6hRowaPPvoon3zyCQDVqlVTIyRyEiFdmDUwrGB2pvuGZvh+DXBZKDOInI4//viDDh068MUXX1CrVi0mT55Mt27ddDZIpHDIavKfZpm2eQz41MzuAyKBllkdyMz6An3BW2dMJC9NnjyZwYMHk5iYSNu2bRk+fDhNmjTxO5ZIgaGPtkWysGfPHgAiIyOpUqUKL7zwAmvWrKFnz55qhkSKFk3+I/mSc460QTU//fQTVapU4auvvmLWrFlqhkROkRoikQy2b9/OgAEDqFKlCuvXrwfgjTfe4N5776V48eI+pxORXBbs5D/vgTf5D961rppLX3y1ePFirrrqKmbNmgXA0KFDWbhwIVdeeaXPyUQKJjVEIsDRo0d59tlnqV27NuPGjaNHjx6ULl3a71giElqa/EcKlE2bNtGjRw+aN2/OTz/9xKFDhwAoXry4ps8WOQ0nvIbIzCrjFYgrgIrAIWAVMAv4xDmXGvKEIiGWnJxMkyZNWLVqFW3atGHMmDFccMEFfscSkSCcTp1yzh0zs7TJf8KB19Im/wHinXMz8Sb/ecXM7sebYEGT/4gvXnjhBYYMGUJqaioPP/wwgwYNomzZsn7HEikUsm2IzOx1vAtOPwZG4a0NVBKoi7d20ENmNsQ5Nz8vgorktm3btlGhQgWKFy9Oz549adiwIe3atdOnbCIFRG7UKU3+I/lZ2nVCYWFhREZGcv311zN69GiqV6/udzSRQsWy+6DLzBo651Zlu6M3vKCqc25tqMJlJS4uzsXHx+flU0oh88cffzBixAjGjBnD559/zhVXXOF3JJECx8yWOufifM6gOiWF1urVqxkwYACdOnXi3nvvxTmnD+xETsGp1KlsryE6UZEJPJ6c10VG5HR9/PHHNGjQgJEjR9KtWzdq167tdyQRySHVKSmMDh48yIMPPkjjxo1Zvnw5kZGRAGqGRELopOsQmdlleOswVAtsb4BzztUMbTSR3HXHHXfw+uuvU79+fRYsWMDll1/udyQRyQWqU1JYfPXVV/Tp04f169fTp08fnn76aaKiNKmhSKgFszDrq8D9wFIgJbRxRHJXSkoKYWFhmBlNmzaldu3a/POf/9QU2iKFi+qUFAqpqamUKFGCL7/8khYtWvgdR6TICKYh2uuc+yTkSURy2cqVK7nrrru499576d27N/369fM7koiEhuqUFEipqalMnDiRbdu28eijj3L11VezatUqLQAukseCWYfoCzN7xswuMbPYtK+QJxPJoaNHjzJ8+HCaNGnChg0bKFOmjN+RRCS0VKekwFm3bh3XXHMN/fv359tvvyUlxTu5qWZIJO8Fc4aoWeDPjLM0OOCa3I8jcnpWrlzJbbfdxvfff0+PHj14/vnnOeecc/yOJSKhpTolBUZqairjxo1j8ODBFCtWjFdffZU+ffpo0gQRH520IXLOXZ0XQURyw/r169m6dSsffvghHTt29DuOiOQB1SkpSNatW8c//vEPrrnmGl555RUqV67sdySRIu+kQ+bM7EwzG2Nm8YGvf5nZmXkRTiQYP/zwA5MmTQLgxhtvZO3atWqGRIoQ1SnJ71JTU5kzZw4AtWvXJj4+ntmzZ6sZEskngrmG6DVgP9Al8LUPeD2UoUSCkZqaytixY7n44osZOnQohw8fBtA1QyJFj+qU5FuJiYm0adOG66+/nvnz5wPQqFEjDZETyUeCuYaolnOuc4bbw8zs+1AFEgnG1q1b6dOnD3PnzqVDhw68+uqrlCxZ0u9YIuIP1SnJl6ZPn85dd93FwYMHGT9+PFdccYXfkUQkC8GcITpkZukrWAYWwDsUukgiJ7Z//35iYmKYP38+48ePZ8aMGURHR/sdS0T8ozol+c4DDzxAp06dqFq1KsuWLaNfv346KySSTwVzhqg/8EZgPLYBu4DbQxlKJCvHjh2jWLFilC1blscff5zLL7+cCy64wO9YIuI/1SnJd5o0aQ4RQrwAACAASURBVMKgQYN4/PHHtRi4SD5nzrngNjQ7A8A5ty+kiU4iLi7OxcfH+xlBfPDjjz/SpUsXnn32WVq2bOl3HJEiz8yWOufiTr5l3lGdEj8553j++ecpWbIk99xzj99xRIq8U6lT2Z4hMrNezrnJZvb3TPcD4Jwbc1opRYL0zjvv0LdvX0qXLk1YWDCjPEWkKFCdkvxi79693HHHHXzwwQd06dKFvn37anicSAFyot8uIwN/ls3mSySkDh8+TP/+/enZsycxMTEsX76ca67ROosikk51Sny3fPlymjRpwowZMxg9ejRTpkxRMyRSwGR7hsg593Lgz2F5F0fkf6ZOncqECRMYNGgQI0aMICIiwu9IIpKPqE6J3xITE7n00kuJiopi/vz5XHrppX5HEpEcCGZh1qfN7AwzizCzeWa23cx65UU4KZp27NgBQK9evVi8eDGjRo1SMyQi2VKdkryWmpoKQMWKFXn55ZdZvny5miGRAiyYCzKuC1yg2h74DagNPBDKUFI0paam8thjj1G3bl1+/fVXzIymTZv6HUtE8j/VKckz69evp2nTpnz55ZcA9O7dm6ioKH9DichpCWba7bRt2gFTnXN7NTZWctv+/fvp3bs306dPp3fv3lSqVMnvSCJScKhOSZ6YN28eXbp0ITU1laNHj/odR0RySTBniD42s5+AJsA8M4sGDoc2lhQla9eupXnz5nz00Uc899xzTJo0iZIlS/odS0QKDtUpCSnnHM899xytW7fmvPPOY8mSJbRq1crvWCKSS056hsg5N8TMngb2OudSzOwP4MbQR5Oi4tlnn+X3339n7ty5XHvttX7HEZECRnVKQm3GjBncf//9dOrUiTfeeIOyZTWJoUhhEsykCrcARwNF5mFgMlAx5Mmk0Nu7dy8Ao0ePZtmyZWqGRCRHVKckVNIWr7/hhhuYMmUK06ZNUzMkUggFM2TuEefcfjO7HGgJvAqMD20sKcyOHTvGfffdR9OmTdm7dy+lSpWiWrVqfscSkYJLdUpy3apVq2jatCnr1q0jLCyMrl27anFwkUIqmP/ZKYE/2wETnXOzgOKhiySF2YEDB+jYsSMvvvgiHTp0oEyZMn5HEpGCT3VKctXcuXO59NJLSUxMZP/+/X7HEZEQC6Yh2mJmLwNdgdlmViLI/USOs2XLFq644go++eQTxo0bx+jRowkPD/c7logUfKpTkmsmTJhAu3btqFmzJosXL+aiiy7yO5KIhFgwBaMLMBdo7ZzbA5yN1neQHLj33ntZu3YtH3/8Mf379/c7jogUHqpTkivefPNN+vfvT+vWrVmwYAGVK1f2O5KI5IFgZpk7aGZJwOXAL8CxwJ8iQXHOYWaMHz+epKQkLrzwQr8jiUghojoluaVz585s27aN+++/n2LFglmqUUQKg2BmmXsUGAw8GLgrAm8GH5GTmjZtGp07d+bo0aOce+65aoZEJNepTsnp2LdvHwMGDGD//v1ERkbywAMPqBkSKWKCGTLXCbgB+APAOZcIaM5JOakJEybQpUsXkpKSOHjwoN9xRKTwUp2SHNm2bRtXX30148eP59tvv/U7joj4JJiGKNl5E/E7ADOLDPbgZtbGzBLMbK2ZDclmmy5mtsbMVpvZO8EeW/Iv5xzDhw+nf//+tGvXjk8//ZQzzzzT71giUnjluE5J0bV+/Xouv/xyfvzxR2bOnEnr1q39jiQiPgnmnPB7gdl7zjKzu4E7gFdOtpOZhQMvAa2AzcASM5vpnFuTYZs6eEMcLnPO7Taz8jl5EZK/PPLIIzzxxBPcdtttvPLKK0RERPgdSUQKtxzVKSm6fvjhB6677jqOHDnCvHnzuOSSS/yOJCI+CmZShdFm1grYB9QDhjrnPgvi2E2Btc65dQBmNgW4EViTYZu7gZecc7sDz5V0ivklH7rpppswM4YPH46Z+R1HRAq506hTUkSVLVuWatWq8dprr1G/fn2/44iIz07YEAXO8nzunLsaONXiUgnYlOH2ZqBZpm3qBp7nGyAceMw5NyeLHH2BvgBVq1Y9xRiSF5KTk/nwww/p2rUrsbGxxMbG+h1JRIqA06xTmFkbYCxeDfq3c25kFtt0AR7DG5K3wjnX47RCi2/WrFnD+eefT/Xq1Vm4cKE+tBMR4CTXEDnnUoBUMwvVBSDFgDrAVUB34BUzOyuLHBOdc3HOubjo6OgQRZGcOnz4MDfddBPdunUjPj7e7zgiUoScTp3KMLT7eqA+0N3M6mfaJuPQ7gbA304/tfhhzpw5NGnShFGjRgGoGRKRdMFcQ3QA+MHMPiMwgw+Ac27ASfbbAlTJcLty4L6MNgOLnXNHgfVm9jNeg7QkiFySDxw8eJBOnTrx6aefMmHCBOLi4vyOJCJFT07rlIZ2FxEzZ87klltuoX79+tx1111+xxGRfCaYhuiDwNepWgLUMbMaeI1QNyDzMIPpeGeGXjezKLwhdOty8FzigwMHDtChQwe++uorXn/9dW6//Xa/I4lI0ZTTOpVrQ7sl/5o6dSo9evQgNjaWOXPmUK5cOb8jiUg+E8ykCm+YWXHgfLzx0wnOueQg9jtmZvcCc/GKyGvOudVmNhyId87NDDx2nZmtAVKAB5xzO0/j9Uge+uqrr/jmm2+YPHkyPXpoSL2I+COndSpIGYd2Vwbmm1kj59yejBvpWtf8KSkpidtvv53mzZsza9YszjjjDL8jiUg+dNKGyMzaAi8DvwIG1DCze5xzn5xsX+fcbGB2pvuGZvjeAX8PfEkB4ZzDzGjXrh2//PIL1apV8zuSiBRhp1Gncm1ot3NuIjARIC4uzuX0tUjuKl++PHPmzCE2NpbISC1PJSJZC2Zh1jHA1c65q5xzLYCrgWdDG0vyq0OHDnHDDTcwZ443YkTNkIjkAzmtU+lDuwNnmLoBMzNtMx3v7BAa2l1wfPjhh0yePBmAK664Qs2QiJxQMA3Rfufc2gy31wH7Q5RH8rEjR45w0003MWvWLHbs2OF3HBGRNDmqU865Y0Da0O4fgffShnab2Q2BzeYCOwNDu79AQ7vzvY8++oiuXbsyYcIEUlJS/I4jIgVAMJMqxJvZbOA9vLHZtwBLzOwmAOdcTi5klQImOTmZW265hTlz5vDqq6/Sq1cvvyOJiKTJcZ3S0O7CZc6cOdx88800btyYWbNmER4e7nckESkAgmmISgLbgBaB29uBUkAHvMKjhqiQO3bsGN27d+ejjz5i3Lhx3HHHHX5HEhHJSHVK+Pzzz+nYsSMNGjRg7ty5nHlmqJZQFJHCJphZ5vpkvs/MiufiDD6Sz4WFhREdHc1zzz1H//79/Y4jInIc1SkBWLRoEfXq1eOzzz7T1NoickpOeg2RmX1pZtUz3L4YLZxaJDjn2LNnD2FhYYwfP56BAwf6HUlE5E9Up4q21NRUAB5++GEWLVrEOeec43MiESlogplU4Slgjpn9xcyewJtW9E+fxknhM3LkSC666CK2bt2KmfkdR0QkO6pTRdS6deuIiYlh6dKlAJQqVcrnRCJSEAUzZG6umfUDPgN2ADHOud9Dnkx8NXHiRP7v//6PXr16UaFCBb/jiIhkS3WqaPr999+57rrr2LVrFyVLlvQ7jogUYMEMmXsEeAG4EngM+NLM2oU4l/ho2rRp9O/fn7Zt2/Laa68RFhbMiUQREX+oThU9e/bsoU2bNmzdupXZs2fToEEDvyOJSAEWzCxz5wBNnXOHgIVmNgf4NzArpMnEFwsWLKBnz540b96cqVOnEhER4XckEZGTUZ0qQg4dOkSHDh1Ys2YNH3/8Mc2bN/c7kogUcCf96N859zfn3CEzKx24vcE51yr00cQPDRs2pHfv3nz88ceULl3a7zgiIielOlW0pKamEhUVxeTJk7nuuuv8jiMihUAwQ+YuCazQ/VPg9kVmNi7kySRPJSUlcfjwYcqVK8crr7yiKUtFpMBQnSo6jhw5QmRkJB988AFdunTxO46IFBLBXBzyHNAa2AngnFuBN05bCon9+/fTunVrOnfujLcou4hIgaI6VQS88MILNG/enF27dmnmUxHJVUFdLe+c25TprpQQZBEfHDt2jG7duvHDDz9w3333qciISIGkOlW4zZgxg4EDB1K9enXOPPNMv+OISCETzKQKm8zsUsCZWQQwEPgxtLEkLzjnuO+++5g9ezYvv/wybdq08TuSiEhOqE4VYt999x3du3fn4osv5u233yY8PNzvSCJSyARzhqgf8FegErAFaBy4LQXc2LFjmTBhAoMHD6Zv375+xxERySnVqUJq/fr1dOjQgXPPPZePPvpIk/2ISEgEszDrDqBnHmSRPNa6dWvuv/9+nnzySb+jiIjkmOpU4RUeHk69evV45ZVXKF++vN9xRKSQCmbInBQyO3bs4JxzzuGCCy5gzJgxfscRERE5TkpKCmFhYVStWpWvvvpK17eKSEgFNamCFB47duzg4osv5sEHH/Q7ioiISJYefPBBunbtyrFjx9QMiUjIqSEqQo4ePcrNN9/M1q1b6dy5s99xRERE/uTNN9/kmWeeISoqimLFNJBFRELvpO80Zvb3LO7eCyx1zn2f+5EkVAYOHMhXX33FW2+9xcUXX+x3HBGRXKE6VXgsWrSIu+++m6uuuoqxY8f6HUdEiohgzhDF4c3gUynwdQ/QBnjFzAaFMJvkovHjxzN+/HgGDRpEr169/I4jIpKbVKcKgc2bN9OpUycqVarE1KlTiYiI8DuSiBQRwZyLrgzEOucOAJjZo8AsvFXAlwJPhy6e5JYqVarQrVs3zSgnIoWR6lQhsHnzZkqVKsVHH31EVFSU33FEpAgJpiEqDxzJcPsoUME5d8jMjmSzj+QTqamphIWF0b59e9q3b+93HBGRUFCdKgSaN29OQkKCzgyJSJ4LpiF6G1hsZjMAA9oD75hZJLAmlOHk9Bw9epTrr7+ejh07cu+99/odR0QkVFSnCrDXX3+dzZs389BDD6kZEhFfnPQaIufc40BfYA+wG+jnnBvunPvDOaeF8PKxBx98kHnz5lGuXDm/o4iIhIzqVMG1bNky+vfvz/z583HO+R1HRIqoYOezPAqkAi7wveRz06ZN41//+hd//etf6dlTvw+ISKGnOlXA7Nq1i86dO1O+fHneeecdwsPD/Y4kIkXUSc8QmdlAvOEIUXjjtCeb2X2hDiY599NPP9GnTx+aNWvGmDFj/I4jIhJSqlMFT2pqKj179iQxMZFp06YRHR3tdyQRKcKCOUN0J9DMOfcHgJmNAhYCL4QymOTc119/TWRkJFOnTqV48eJ+xxERCTXVqQLmu+++4/PPP+fFF1+kadOmfscRkSIumIbIgJQMt1MC90k+ddddd9GlSxfOOOMMv6OIiOQF1akCpnnz5qxatYq6dev6HUVEJKiG6HW82Xs+DNzuCLwaukiSU9OmTeOMM87guuuuUzMkIkWJ6lQBkZSUxHfffUf79u2pV6+e33FERIAgGiLn3Bgz+xK4PHBXH+fc8pCmklP2888/c/vttxMXF0erVq0w04ejIlI0qE4VDKmpqdx6660sWLCA9evXU6FCBb8jiYgAJ2iIzOzsDDd/C3ylP+ac2xW6WHIqjhw5Qrdu3ShRogSTJ09WMyQiRYLqVMHy9NNP8+mnn/Lyyy+rGRKRfOVEZ4iW4k1fmvbbddoCARb4vmYIc8kpGDRoEMuXL2fmzJlUrlzZ7zgiInlFdaqA+Pbbb3n44Yfp0qULd999t99xRESOk21D5JyrkZdBJGcWLVrE888/z8CBA+nQoYPfcURE8ozqVMFw4MABunfvTrVq1Zg4caJGMYhIvpPtOkRmVv1EO5rnhKcjzKyNmSWY2VozG3KC7TqbmTOzuJMFluM1a9aMyZMnM2rUKL+jiIjkqdyoUxJ6kZGRPPLII0yZMoUzzzzT7zgiIn9yoiFzz5hZGDADb1jCdqAkUBu4GrgWeBTYnNXOZhYOvAS0CmyzxMxmOufWZNquLDAQWHx6L6VoSU1N5ffff6dixYr07NnT7zgiIn44rToloXf48GFKlizJXXfd5XcUEZFsZXuGyDl3C/AIUA+vsVmAV3TuAhKAa5xzn53g2E2Btc65dc65ZGAKcGMW2z0OjAIO5+gVFFHPP/88F1xwAWvXrvU7ioiIL3KhTmkkQwitXbuWGjVqMHv2bL+jiIic0Amn3Q6czXkoh8euBGzKcHsz0CzjBmYWC1Rxzs0ysweyO5CZ9QX6AlStWjWHcQqP1atXM2TIEFq3bk2tWrX8jiMi4pvTqVMayRA6x44d49Zbb+Xw4cM0atTI7zgiIieU7RmiUAsMcxgD/ONk2zrnJjrn4pxzcdHR0aEPl48lJyfTq1cvzjjjDF555RVdnCoiknMayRAiTz31FIsWLWLcuHFUqVLF7zgiIicUyoZoC5DxXbBy4L40ZYGGwJdm9hvQHJip4Qgn9uijj/L999/z6quvUr58eb/jiIgUZFmNZKiUcYOMIxlOdCAz62tm8WYWv3379txPWoB89913DBs2jB49etC9e3e/44iInFQoG6IlQB0zq2FmxYFuwMy0B51ze51zUc656s656sAi4AbnXHwIMxVozjl27tzJ3XffrSm2RURCTCMZcuazzz6jYsWKvPTSS35HEREJykkbosC0pb3MbGjgdlUza3qy/Zxzx4B7gbnAj8B7zrnVZjbczG443eBFkZkxceJExo8f73cUEZF8I6d1Co1kCImHHnqIlStXctZZZ/kdRUQkKMGcIRoHXAKknffej3cR6kk552Y75+o652o5554I3DfUOTczi22v0tmh7I0aNYrly5cDEB4e7nMaEZF8Jad1SiMZctGCBQuIj/f+atQMiUhBcsJZ5gKaOedizWw5gHNud6BwSB6ZN28eQ4YMYefOncTExPgdR0Qkv8lRnXLOHTOztJEM4cBraSMZgPisPryTrO3bty99wp8VK1YQFubbnE0iIqcsmIboaGBqUgdgZtFAakhTSboDBw5w1113UbduXYYNG+Z3HBGR/CjHdco5NxuYnem+odlse9XpxSy8Bg0axObNm/nmm2/UDIlIgRNMQ/Q88CFQ3syeAG4GHg5pKkk3ZMgQNmzYwIIFCyhVqpTfcURE8iPVKR/NmzePl19+mX/+8580b97c7zgiIqfspA2Rc+5tM1sKXAsY0NE592PIkwkLFy7kpZdeYuDAgVx22WV+xxERyZdUp/yTcRTD8OHD/Y4jIpIjJ22IzKw5sNo591Lg9hlm1sw5pxW7Q6xJkyaMHj2afv36+R1FRCTfUp3yT4kSJbjzzju5+uqrNYpBRAosc86deAPvItVYF9gwsC5DvHMuNg/y/UlcXJxLm8WmMEtOTqZ4cc1dISL5k5ktdc7li+mnVaf84ZzDzPyOISKSpVOpU8Fc+WguQ9fknEsluGuPJIe+/fZb6tSpw4oVK/yOIiJSEKhO5bGDBw9y5ZVX8tlnn/kdRUTktAXTEK0zswFmFhH4GgisC3Wwoio5OZm+ffvinKNmzZp+xxERKQhUp/LYsGHD+PrrrzWSQUQKhWAaon7ApXird28GmgF9QxmqKBszZgyrV69m3LhxlC1b1u84IiIFgepUHlqxYgX/+te/uPPOO2nRooXfcURETlsws8wl4a3eLSG2bt06hg0bRufOnWnfvr3fcURECgTVqbyTkpJC3759Oeecc3j66af9jiMikiuCmWUuGrgbqJ5xe+fcHaGLVTS99tprREREMHbsWL+jiIgUGKpTeWfGjBl89913vP3225x99tl+xxERyRXBXHQ6A1gAfA6khDZO0fb444/Tu3dvKlWq5HcUEZGCRHUqj3Tq1Im5c+fSqlUrv6OIiOSaYBqi0s65wSFPUoTt3r2bAwcOUKVKFerWret3HBGRgkZ1Kg9s376d6OhorrvuOr+jiIjkqmAmVfjYzNqGPEkRNmTIEBo1asTu3bv9jhKU6cu3cNnI/1JjyCwuG/lfpi/f4nckESnaVKdCbMaMGdSoUYMlS5b4HUVEJNcF0xANxCs2h8xsn5ntN7N9oQ5WVHz77bdMnDiRO++8k3Llyvkd56SmL9/Cgx/8wJY9h3DAlj2HePCDH9QUiYifVKdC6MCBA9x7773UqFGDxo0b+x1HRCTXBTPLnOZ+DpGUlBT+8pe/ULlyZYYNG+Z3nKA8MzeBQ0ePH6J/6GgKz8xNoGOMrn0SkbynOhVaI0aMYPPmzbz77rtERET4HUdEJNcFtZK3mZUD6gAl0+5zzs0PVaii4uWXX2bFihW89957lClTxu84QUncc+iU7hcRyQuqU6GRkJDAmDFjuP3227n00kv9jiMiEhLBTLt9F95whMrA90BzYCFwTWijFX6//vorLVu25Oabb/Y7StAqnlWKLVk0PxXPKuVDGhER1alQmjt3LpGRkYwcOdLvKCIiIRPsNUQXAxucc1cDMcCekKYqIv71r38xe/ZszMzvKEF7oHU9SkWEH3dfqYhwHmhdz6dEIiKqU6EyYMAAfvnlFypUqOB3FBGRkAmmITrsnDsMYGYlnHM/Afrt9zSsWrWKpUuXAhS48dgdYyrx1E2NqHRWKQyodFYpnrqpka4fEhE/qU7lsoMHD7Js2TIAoqKifE4jIhJawVxDtNnMzgKmA5+Z2W5gQ2hjFV6pqan07duX3377jfXr11OiRIk/bTN9+RaemZtA4p5DVDyrFA+0rpevGo6OMZXyVR4RKfJUp3LZqFGjGDFiBAkJCdSuXdvvOCIiIRXMLHOdAt8+ZmZfAGcCc0KaqhB76623WLhwIZMmTcq2GXrwgx/SZ3JLm9YaUBMiIpIF1anctW7dOkaNGkXXrl2zbYby+wd3IiKnItuGyMzOcM7tM7OzM9z9Q+DPMsCukCYrhPbu3cugQYNo3rw5t956a5bbaFprEZHgqE6Fxv33309ERASjR4/O8nF9cCcihc2JzhC9A7QHlgIOsEx/1gx5ukJm+PDhbN++ndmzZxMWlvXlW5rWWkQkaKpTuez/2bv3OJvq/Y/jr4/7JXHQBYVyUunOuCUhlMqlI9078quOkss5lUp3Kql0Pznn5CSVLo4UoRDFqdwyUgoVSi5dRC65xDCf3x9rj7MbM+xh9qw1s9/Px2Me7b32d6/13mu0P/Nd67u+a/LkyYwbN45HHnmE6tWr59hGB+5EpKjJtUPk7u0tmP6shbuvKMBMRVbVqlXp3bs3DRo0yLWNprUWEUmM6lT+W7FiBaeccgp//etfc22jA3ciUtTsdZY5d3fg7QLKUuTdfvvtPPXUU3tto2mtRUQSpzqVv/7yl78wb948SpUqlWub3A7Q6cCdiBRWiUy7/YmZNUx6kiJszpw5jBkzhqBu752mtRYRyTPVqQO0ceNG3nrrLdyd4sWL77VtYThwN3b+apo99D5H9XubZg+9z9j5q8OOJCIRlsi0242BK8zsO2ALsbHZ7n5yUpMVEZmZmfTq1YsffviBdu3aUbbsvo+gaVprEZE8UZ06QA8++CCDBw9m4cKFHH/88Xttm1WfojrLnCZ9EJG8SqRDdE7SUxRhr776Kunp6bz00ksJdYZERCTPVKcOwLfffsuTTz5J165d99kZyhLlA3ea9EFE8iqR+xB9B2BmhwJlkp6oCNm6dSu33347DRo04Iorrgg7johIkaQ6dWD69etHiRIlGDhwYNhR8oUmfRCRvNrnNURm1tHMlgDfAv8FlgMTk5yrSHjiiSdYtWoVjz32WK7TbIuIyIFRndp/M2fOZNSoUdx6663UqFE0zp5o0gcRyatE/kq/H2gCfO3uRwGtgdlJTVVE/PGPf+SGG26gRYsWYUcRESnKVKf208aNG2nUqBF9+/YNO0q+KQyTPohItCTSIcpw93VAMTMr5u7TgLQk5yoSLrnkEoYMGRJ2DBGRok51aj+de+65zJ49m/Lly4cdJd9otlYRyatEJlXYYGYHAR8Ar5jZGoJZfCQXy5YtY9y4cfTo0YMyZTScXUQkyVSn8igjI4MXXniBrl27Urp06bDj5LsoT/ogItGTyBmiTsA24EZgErAM6JDIys2snZl9ZWZLzaxfDq/fZGaLzGyBmb1nZrXyEj6q7r77bu666y7Wr18fdhQRkVSw33UqVf373/+me/fuTJs2LewoIiKhy/UMkZkNAV519xlxi19MdMVmVhwYArQFVgFzzWycuy+KazYfSHP3rWbWA3gEuCQvHyBq5s+fz2uvvcYdd9xBtWrVwo4jIlJkHWidSlWbN2/mvvvuo3nz5pxzjmYsFxHZ2xmir4FHzWy5mT1iZqflcd2NgKXu/o277wBGEhzF283dp7n71tjT2cARedxG5Nxxxx1UrlyZW2+9NewoIiJF3YHWqZQcyfDkk0/y008/8fDDD2NmYccREQldrh0id3/K3ZsCLYB1wPNm9qWZ3WtmdRNYdw1gZdzzVbFlubmGQj5N6vTp05k0aRK33347FStWDDuOiEiRdqB1Km4kw7lAPeAyM6uXrVnWSIaTgdEEIxkKrbVr1zJ48GA6depE06ZNw44jIhIJ+7yGyN2/c/eH3f004DLgAmBxfoYwsysJZgQanMvr3c0s3czSf/755/zcdL4qV64cF1xwAT179gw7iohIyjiAOpVyIxnWrl1LvXr1isxNWEVE8kMiN2YtYWYdzOwVgjM4XwGdE1j3auDIuOdHxJZlX38b4E6go7tvz2lF7j7U3dPcPe2QQw5JYNPhaNSoEWPGjKFsWd38TUSkoBxAncq3kQyF5cDdcccdx6xZszjhhBPCjiIiEhm5dojMrK2ZPU9QIP4CvA3UcfdL3f2tBNY9FzjGzI4ys1LApcC4bNs4DXiWoDO0Zn8/RNh27drF/fffz5o1hfYjiIgUOvlQp/Kyrb2OZCgMB+5GjhzJ2rVrw44hIhI5eztDdDswEzje3Tu6+6vunvB9Hdx9J9ALmEwwdGGUuy80s/vMrGOs2WDgIOB1M/vUzMblsrpI/eVqPQAAIABJREFUe/XVV7nnnnv44IMPwo4iIpJKDqhOkY8jGaLuyy+/5IorrmDw4Bz7cyIiKc3cPewMeZKWlubp6elhx9ht586dHH/88Rx00EHMmzePYsUSubWTiEjhZmbz3D0t7BwHwsxKEMxU15qgIzQXuNzdF8a1OY1gMoV27r4kkfVGrU4BXH755YwbN45vv/2WqJ7BEhHJT3mpU7neh0gS8/LLL7N06VLGjh2rzpCISCHi7jvNLGskQ3Hg+ayRDEC6u4/j9yMZAFa4e8dcVxpBCxcuZOTIkdx2223qDImI5EBniA5ARkYGxx57LH/4wx9IT0/X/RxEJGUUhTNEyRKlOgVw8cUXM2nSJL799luqVKkSdhwRkQKhM0QFZNOmTTRq1Ig///nP6gyJiEjk7Ny5E4Abb7xRnSERkVyoQ3QAqlSpwsiRI8OOISIikqMSJUowatQoCttoEBGRgqSLXvbTlClT+OKLL8KOISIikqOvvvqKxYuD+9NqFIOISO7UIdoP27dv5+qrr+b6668PO4qIiEiO+vbty5lnnsn27YVypnARkQKjIXP7YdiwYaxatYrhw4eHHUVERGQPH3/8MRMmTGDgwIGULl067DgiIpGmM0R5tH37dh588EHOOOMMWrduHXYcERGRPfTv358qVarQu3fvsKOIiESezhDl0Ysvvsjq1asZPny4xmSLiEjkzJs3j4kTJ/Lggw9SoUKFsOOIiESeOkR5tGnTJlq1akWbNm3CjiIiIrKHBQsWUK1aNXr27Bl2FCmExs5fzeDJX/H9hm1Ur1SWW845lgtOqxF2LJGk0o1Z94O76+yQiKQ03Zg1d1GoU9u3b9e1Q5JnY+ev5vY3P2dbxq7dy8qWLM6gziepUySFTl7qlK4hSlBmZib//e9/1RmSAzJ2/mqaPfQ+R/V7m2YPvc/Y+avDjiQiRcjixYtxd3WGZL8MnvzV7zpDANsydjF48lchJRIpGOoQJWjs2LG0bNmSd955J+woUkhlHXlbvWEbDqzesI3b3/xcnSIRyRdLlizhxBNP5Jlnngk7ihRS32/YlqflIkWFOkQJcHcGDhzIMcccQ7t27cKOI4WUjryJSDI99NBDlCpViosuuijsKFJIVa9UNk/LRYoKdYgSMGnSJD755BP69etH8eLFw44jhZSOvIlIsqxYsYKXXnqJa6+9lsMPPzzsOFJI3XLOsZQt+fu/c8qWLM4t5xwbUiKRgqFZ5vbB3XnggQeoWbMmV155ZdhxpBCrXqksq3Po/OjImySbZo0q+h555BHMjFtuuSXsKFKIZX0v6PtCUo06RPvw448/8s0333DXXXdRqlSpsONIIXbLOcfmOHuPjrxJMmWfNSrr2jVAf+QUETt27GD8+PFcddVV1KxZM+w4UshdcFoNfTdIylGHaB+qVavGt99+q5nl5IDpyJuEYW/XrunfXtFQqlQpFi9ezNatW8OOIiJSKKlDtBe//PILFSpUoEyZMmFHkSJCR96koOnataJt+/btlChRgnLlylGuXLmw44iIFEqaVGEv/va3v3Hqqaeya9eufTcWEYkgzRpVtD399NMce+yxbNiwIewoIiL7Lez7NKpDlIuVK1fy2muv0bZtW80sJyKFlmaNKrp27NjBk08+Sa1atahUqVLYcURE9ksU7tOoDlEunnrqKdydG2+8MewoIiL77YLTajCo80nUqFQWA2pUKsugzidp6GYR8Oqrr/L9999z6623hh1FRGS/ReE+jbqGKAcbN25k6NChXHzxxdSqVSvsOCIiB0TXrhU9mZmZDB48mJNPPpmzzz477DgiIvstCte6qkOUg9dee41ff/1V93MQEZFImjp1KosWLWLEiBGaBVVECrUo3KdRQ+Zy0L17dz766CNOO+20sKOIiIjsoXXr1owdO5ZLLrkk7CgiIgckCte66gxRNu5OsWLFaNasWdhRREREclS8eHE6deoUdgwRkQMWhfs0qkMUJzMzkzPPPJMrrriCHj16hB1HRERkD9dffz3HHHMMN998c9hRRETyRdjXumrIXJxJkyYxY8YMKlSoEHYUERGRPSxbtoyhQ4eybt26sKOIiBQZ6hDFefLJJ6levbrGZIuISCQ9/fTTlChRgt69e4cdRUSkyFCHKGbRokVMmTKFnj17UrJkybDjiIiI/M7GjRt5/vnnufTSS6lWrVrYcUREigx1iGKefvppypQpQ/fu3cOOIiIisofhw4ezefNm/vrXv4YdRUSkSNGkCjFXX301DRo0oGrVqmFHERER2UPTpk254447aNCgQdhRRESKFHWIYho1akSjRo3CjiEiIpKjxo0b07hx47BjiIgUOSk/ZC4jI4O+ffvy9ddfhx1FREQkR0888QRLliwJO4aISJGU8h2iMWPG8Nhjj/Hll1+GHUVERGQPn376KTfddBNvvfVW2FFERIqkpHaIzKydmX1lZkvNrF8Or5c2s//EXp9jZrWTmScnTz31FHXq1OH8888v6E2LiEjICkudKl++PNdcc01Bb1pEJCUkrUNkZsWBIcC5QD3gMjOrl63ZNcB6d/8j8ATwcLLyZDd2/mpO6fVPZs6cya7jz2H8gh8LatMiIhIBhaFONbxzNC+MeJkKJ7Xhv8u3FtSmRURSSjLPEDUClrr7N+6+AxgJdMrWphPwYuzxaKC1mVkSMwFBkbn9zc9ZNv11rFRZdv2xJbe/+Tlj569O9qZFRCQ6Il+nlvx3DOzaSbETz1WdEhFJkmR2iGoAK+Oer4oty7GNu+8ENgJVkpgJgMGTv2Lrjp0UK3swFeq3p1jpcmzL2MXgyV8le9MiIhIdka5T2zJ24bt2UK7u6ZSscoTqlIhIkhSKabfNrDvQHaBmzZoHvL7vN2zDzKjc+i97LBcREcmrZNQpgD+06Ia777FcRETyTzLPEK0Gjox7fkRsWY5tzKwEUBFYl31F7j7U3dPcPe2QQw454GDVK5XN03IRESmSCkWdih+hpzolIpL/ktkhmgscY2ZHmVkp4FJgXLY244CrYo+7AO97/KGwJLnlnGMpW7L475aVLVmcW845NtmbFhGR6FCdEhGR5A2Zc/edZtYLmAwUB55394Vmdh+Q7u7jgGHACDNbCvxCUIyS7oLTgiHigyd/xfcbtlG9UlluOefY3ctFRKToU50SEREAK4ADXfkqLS3N09PTw44hIpLSzGyeu6eFnSOKVKdERMKXlzqV1BuzioiIiIiIRJk6RCIiIiIikrLUIRIRERERkZSlDpGIiIiIiKQsdYhERERERCRlqUMkIiIiIiIpSx0iERERERFJWeoQiYiIiIhIyip0N2Y1s5+B7/JxlVWBtfm4vvwU5WwQ7XxRzgbRzhflbBDtfFHOBvmbr5a7H5JP6ypSVKciJcr5opwNop0vytkg2vminA1CqlOFrkOU38wsPap3W49yNoh2vihng2jni3I2iHa+KGeD6OeTnEX59xblbBDtfFHOBtHOF+VsEO18Uc4G4eXTkDkREREREUlZ6hCJiIiIiEjKUocIhoYdYC+inA2inS/K2SDa+aKcDaKdL8rZIPr5JGdR/r1FORtEO1+Us0G080U5G0Q7X5SzQUj5Uv4aIhERERERSV06QyQiIiIiIilLHSIREREREUlZKdEhMrN2ZvaVmS01s345vF7azP4Te32OmdWOWL4zzewTM9tpZl0ilu0mM1tkZgvM7D0zqxWxfNeb2edm9qmZfWRm9aKSLa7dhWbmZlag00wmsO+6mdnPsX33qZldG5VssTYXx/7tLTSzVwsqWyL5zOyJuP32tZltiFi+mmY2zczmx/7fPa8g80nOolyrolynEswXWq2Kcp1KJF9cuwKvVVGuU4nki7UJpVapTuWRuxfpH6A4sAw4GigFfAbUy9bmBuBfsceXAv+JWL7awMnAS0CXiGVrBZSLPe4RwX13cNzjjsCkqGSLtasAfADMBtIitu+6Ac8UVKY8ZjsGmA/8Ifb80Cjly9a+N/B8lPIRXLTaI/a4HrC8oH/P+tmv31sotSrKdSoP+UKpVVGuU4nmi7Ur8FoV5TqVh3yh1CrVqbz/pMIZokbAUnf/xt13ACOBTtnadAJejD0eDbQ2M4tKPndf7u4LgMwCypSXbNPcfWvs6WzgiIjl2xT3tDxQULOIJPLvDuB+4GHgtwLKlSXRfGFIJNtfgCHuvh7A3ddELF+8y4DXCiRZIJF8Dhwce1wR+L4A80nOolyrolynEs0XVq2Kcp1KKF9MGLUqynUKol2rVKfyKBU6RDWAlXHPV8WW5djG3XcCG4EqBZIusXxhyWu2a4CJSU30ewnlM7OeZrYMeAToE5VsZlYfONLd3y6gTPES/d1eGDtVPdrMjiyYaAllqwvUNbMZZjbbzNoVUDbIw/8XsWE5RwHvF0CuLInk6w9caWargHcIjg5KuKJcq6JcpyDatSrKdQqiXauiXKcg2rVKdSqPUqFDJAXAzK4E0oDBYWfJzt2HuHsd4DbgrrDzAJhZMeBx4Oaws+zFeKC2u58MTOF/R6ajoATBUISWBEe2/m1mlUJNlLNLgdHuvivsINlcBrzg7kcA5wEjYv8mRYq0qNaqKNYpKBS1Ksp1CgpHrVKdIjU6RKuB+CMGR8SW5djGzEoQnJpbVyDpEssXloSymVkb4E6go7tvL6BskPd9NxK4IKmJ/mdf2SoAJwLTzWw50AQYV4AXq+5z37n7urjf53NAg6hkIziaNM7dM9z9W+BrgqITlXxZLqVghyFAYvmuAUYBuPssoAxQtUDSSW6iXKuiXKcg2rUqynUKol2rolynINq1SnUqr5J5gVIUfgh6598QnA7MunDrhGxtevL7C1VHRSlfXNsXKNhJFRLZd6cRXBh3TER/t8fEPe4ApEclW7b20ynYSRUS2XfV4h7/CZgdoWztgBdjj6sSnHqvEpV8sXbHAcuJ3QA7Yr/biUC32OPjCcZmF2hO/ezX7y2UWhXlOpWHfRdKrYpyncrr7zbWvsBqVZTrVB7yhVKrVKf2I1NB7oCwfghOtX0d+zK8M7bsPoKjRBD0Ol8HlgIfA0dHLF9DgqMMWwiOBi6MULapwE/Ap7GfcRHbd08BC2PZpu3ti76gs2VrW2BFJg/7blBs330W23fHRSibEQzjWAR8DlwapX0Xe94feKggc+Vh/9UDZsR+t58CZ4eRUz95/r2FVquiXKcSzBdarYpynUokX7a2BVqrolynEswXWq1Sncrbj8U2KiIiIiIiknJS4RoiERERERGRHKlDJCIiIiIiKUsdIhERERERSVnqEImIiIiISMpSh0hERERERFKWOkSSssyskpndEPe8upmNTtK2LjCze2KPXzCzLsnYTi7bbm9m9xXU9kREJH+oTokUDHWIJJVVAnYXGnf/3t2TVQBuBf6RpHUDYGbFc3npbaCDmZVL5vZFRCTfqU6JFAB1iCSVPQTUMbNPzWywmdU2sy8AzKybmY01sylmttzMepnZTWY238xmm1nlWLs6ZjbJzOaZ2Ydmdlz2jZhZXWC7u6+NW3ymmc00s2+yjsJZYLCZfWFmn5vZJbHlLc1sQtz6njGzbrHHy83sYTP7BLjIzPqY2SIzW2BmIwE8uNnYdKB9/u9CERFJItUpkQJQIuwAIiHqB5zo7qcCmFntbK+fCJxGcHf4pcBt7n6amT0BdAWeBIYC17v7EjNrTHB07axs62kGfJJtWTXgDOA4YBwwGugMnAqcAlQF5prZBwl8jnXuXj/2Gb4HjnL37WZWKa5NOtAcGJXA+kREJBpUp0QKgDpEIrmb5u6/Ar+a2UZgfGz558DJZnYQcDrwupllvad0DuupBvycbdlYd88EFpnZYbFlZwCvufsu4Ccz+y/QENi0j5z/iXu8AHjFzMYCY+OWrwGq72M9IiJSuKhOieQDdYhEcrc97nFm3PNMgv93igEbso7c7cU2oOJe1m3s3U5+P7y1TLbXt8Q9Ph84E+gA3GlmJ7n7zth7tu1jOyIiUrioTonkA11DJKnsV6DC/r7Z3TcB35rZRbB7bPUpOTRdDPwxgVV+CFxiZsXN7BCCgvEx8B1Qz8xKx4YXtM7pzWZWDDjS3acBtxEUt4NiL9cFvkj804mISASoTokUAHWIJGW5+zpgRuzi0MH7uZorgGvM7DNgIdAphzYfAKdZ3HiFXIwhGErwGfA+cKu7/+juKwnGVH8R++/8XN5fHHjZzD6PtXna3TfEXmtFMIuPiIgUEqpTIgXDgok9RCSZzOwpYLy7Tw1h24cBr7p7jkfsREREVKcklalDJFIAYl/2jd19XAjbbghkuPunBb1tEREpHFSnJJVpyJxINmZWz8zSExg6sK/1LDezNrGn1wAdDzzdHttwM8tx3LeZTTeza9197r6KTLasec2QL+81s95m9vD+rEdEJJWY2SFm9qWZlT3A9Uw3s2tjT9sAvQ483R7byLVGmNkLZvZAgnUqPmteM+TLe82sg5n9Z1/vkcJHHSIp8sysspmNMbMtZvadmV2+j7fcDzzq+Xj61N0fdPf9+jJOIf8GrjCzQ8MOIiJSkCy4qWq6mW03sxcSeEs/4AV3z7dZ2dz9FXc/O7/WVxS5+3jgBDM7Oewskr/UIZJUMATYARxGcHHpP83shJwamlk1ggs7x+b0uiSPu/8GTCS4maCISCr5HngAeH5fDc2sNHAV8HKyQ0mOXgO6hx1C8pc6RJLvzKy+mc03s1/N7HUz+4+ZPRD3ensz+9TMNpjZzPgjLbFT633NbIGZbYy9t0wi780lS3ngQuBud9/s7h8R3HH7z7m8pS3wSeyP86x13GZmq2Of5yszax1b3t/MRscy/mpmn+QynWlW25fjnp8Ry7/BzFaaWbfY8tJm9qiZrTCzn8zsX/FDIszsFjP7wcy+N7Or9/bZs22/jpm9b2brzGytmb1iv79DOEBDM1tkZuvNbPj+7HczK2Zm/cxsWWxbo8ysctzrf46dpVtnZnfmsIrpBPeoEBFJmijVKQB3f9PdxwLrEojfmODeQqvittnNzL6JfZ5vzeyKuOUzzOyZWNYvs2pYDvukm5l9FPf8BDObYma/xOrRHbHlB/o9nyMz+4OZTTCzn2N1aIKZHZGtWR0z+9jMNpnZW9m22ySurn5mZi33sq2rzWxxbDuTzaxW3GttY/tpo5k9w573YJqO6lSRow6R5CszK0UwLecLQGWCIyl/inv9NIIjYNcBVYBngXEWHPHKcjHQDjgKOBnolof3ZlcX2OnuX8ct+wzI8QwRcBLwVVzeYwnGVDd09wrAOcDyuPadgNdjn/VVYKyZldxLHmJfvBOBvwOHAKcCWWOnH4plPpXgnhA1gHti72sH9CXotB1DMN47UQYMIrgL+PHAkUD/bG2uiH2+OrEMd8W2m5f93hu4AGgR29Z6gjN0mFk94J8EndHqsXVlL3aLgRw7lSIi+SGCdSqvstep8sDTwLmxOnU6/6spEHSglgFVgXuBN+M7EjkxswrAVGASwff1H4H3Yi8f6Pd8booBw4FaQE2Cm7Q+k61NV+BqoBrBzWCfjm23BsGU3Q8Q/E77Am9YcK+k7J+tE3AH0JmgBn9I8G8AM6sKvElQ/6oS7Ldm2VaxGKhtZgcn+LmkEFCHSPJbE4K7Yz/t7hnu/ibBTduydAeedfc57r7L3V8kuBt2k7g2T7v79+7+CzCeoHOQ6HuzOwjYlG3ZRnK/0V0lghvhZdkFlCa44VxJd1/u7sviXp/n7qPdPQN4nOBO23vLA3A5MNXdX4vto3Xu/qmZWewz3ujuv7j7r8CDwKWx910MDHf3L9x9C3t2aHLl7kvdfYq7b3f3n2NZW2Rr9oy7r4zt94HAZbHlednv1wN3uvsqd98ey9jFzEoAXYAJ7v5B7LW7Ce6mHu9X9rxbuohIfopancqr7HUKgu/SE82srLv/4O4L415bAzwZ+6z/IehM7esMR3vgR3d/zN1/c/df3X1O7LUD/Z7PUawWvuHuW2P1byB71qkRcTXwbuBiMysOXAm84+7vuHumu08B0oHzctjU9cAgd1/s7jsJ6uypsYOV5wEL4+r6k8CP2d6fte+zj7KQQkwdIslv1YHV2SYkWBn3uBZwc+yU9gYz20BwtqJ6XJv4L5+t/O8u1om8N7vNQPajOAezZzHJsp64zpK7LwX+RvCFv8bMRppZ/PZWxrXNBFbtIw+xzMtyWH4IUA6YF/f5JsWWE1tv/L78bh/b2c3MDotlX21mmwjGnlfN1iz7urM+R172ey1gTFy7xQSdysOy548VtOzDQyoQdFhFRJIlanUqr7LXqS3AJQR/6P9gZm+b2XFx7bN/1vjv99zkVqfgwL/nc2Rm5czs2dhwu00EN4utFOvwZMlep0oS1LJawEXZ9vsZBGeScsr/VFy7XwhGUdTIIb9n2yb8b99vQIoMdYgkv/0A1Iid7chyZNzjlcBAd68U91PO3V9LYN37896vgRJmdkzcslMI7tadkwUEw8V2c/dX3f0Mgi9RB+Knht792cysGMHQgO8T+Bx1cli+lmCIwAlxn6+iu2cV2h/4/b6suY/txHswlv0kdz+Y4Gha9nHR2ded9Tnyst9XEgzbiG9bxt1XZ89vZuUIhlPEO55gSKOISLJErU7lVU51arK7tyXoAHxJMGtnluyfNf77PTcrgaP38tqBfM/n5mbgWIJ7IR0MnJm1mrg22etUBkHtXElw9ig+U3l3fyiX/Ndla1vW3WfmkN+ybROCOrXc3bOPPpFCTB0iyW+zCI4U9TKzErGxuo3iXv83cL2ZNbZAeTM7PzZeeV/y/N7Y0ak3gfti7ZsRXPczIpe3TAHqW+wCWTM71szOio3//o2gwxJ/+r+BmXWODRX4G8HQiNn7+ByvAG3M7OLYPqpiZqfGzjD9G3jCYlNPm1kNMzsn9r5RQDcL7pNUjmAseKIqEJwt2xgba31LDm16mtkRsbHldwJZ91rIy37/FzAwNvQg614ZnWKvjQbaWzChRCngPvb8DmpBcH2ViEiyRKpOAcRylAGKA8XNrEysruTkY4IzJzVi7z3MzDpZcC3RdoLv+vg6dSjQx8xKmtlFBH/Qv7OPzzEBqGZmf7Ngsp8KZtY49tqBfs/npgJBjd0Qq0M51bgr42rgfcBod99FMOqhg5mdY2ZZ+6+l7TkpQ1b+2y0226yZVYztFwiuQzohrq73AQ7P9n7VqSJIHSLJV+6+g+BCxWsITidfSfDFuj32ejrwF4ILJdcDS4ldjJrAuvf3vTcAZQnGUb8G9Mg2vjp+Gz8B7xN0miC4fughgiNQPxIUltvj3vIWwVCF9QQXkXaOjTve2+dYQTBO+WaCU/Wf8r+JBG6Lfa7ZsSEDUwmOmOHuEwnGM78fa/N+Ap89ywCgPsFwtLcJOonZvQq8C3xDMFTigdh287LfnyKYxe9dM/uVoHPYOLaehUDP2HZ+iK0rfpakMgT75cU8fC4RkTyJaJ26i6Az0C+WZ1tsWW75X4i1g+BvuZsIzvr8QvAHe4+4t8whmIhnLcF1OV3cfa/D2GLX8LQFOhDUviUEt6SAA/ie34cnCWr12tg6J+XQZgTBZ/+R4JrdPrHtriSo23cAPxOcBbqFHP7OdfcxBCM9Rsbq7BfAubHX1gIXEdT9dQT7bUa2VVxGMFmGFCHm+XfvSZEcmdkc4F/uPjzsLImwYJacF4FGvpf/QcysP/BHd78ytzaSODPrDRzp7reGnUVEUkshrFNZs6Od5nu5OasFt3S4NjbsWw6QmXUA/uzuF4edRfJXbqdjRfabmbUgmMVmLcFUzieT85GeSHL3RUDDsHOkGnf/e9gZRCQ1FIE69TNw3D4bSr5y9/EEswpKEaMOkSTDsQTXu5QnGH7Vxd1/SNbGzKwmsCiXl+vFhqiJiIhkUZ0Skd00ZE5ERERERFKWJlUQEREREZGUVeiGzFWtWtVr164ddgwRkZQ2b968te5+yL5bph7VKRGR8OWlThW6DlHt2rVJT08PO4aISEozs+/CzhBVqlMiIuHLS53SkDkREUlZZtbOzL4ys6Vm1i+XNheb2SIzW2hmrxZ0RhERSa5Cd4ZIREQkP5hZcWAIwQ0oVwFzzWxcbOr9rDbHENyMuZm7rzezQ8NJKyIiyaIzRCIikqoaAUvd/Rt33wGMJLjbfby/AEPcfT2Au68p4IwiIpJk6hCJiEiqqgGsjHu+KrYsXl2grpnNMLPZZtYupxWZWXczSzez9J9//jlJcUVEJBmS2iHS2GwRESnkSgDHAC2By4B/m1ml7I3cfai7p7l72iGHaPI9EZHCJGnXEGlstoiIRNxq4Mi450fElsVbBcxx9wzgWzP7mqCDNLdgIoqISLIl8wyRxmaLiEiUzQWOMbOjzKwUcCkwLlubsQRnhzCzqgRD6L4pyJAiIpJcyewQaWy2iIhElrvvBHoBk4HFwCh3X2hm95lZx1izycA6M1sETANucfd14SQWEZFkCHva7fix2UcAH5jZSe6+Ib6Ruw8FhgKkpaV5QYcUESmsfvzxRw466CAOOuigsKNEkru/A7yTbdk9cY8duCn2IyIi+eyHH37g8MMPx8xCy5DMDpHGZouIFKBt27Yxc+ZM5s6dy9y5c/n4449ZtWoVo0aN4qKLLgo7noiIpLj169cza9as3TVq3rx5/PTTT6xevZrq1auHliuZHaLdY7MJOkKXApdnazOWYNae4RqbLSKSuIyMDD777DNmzZrFcccdR9u2bfnhhx9o06YNAHXq1KF58+Y0bNiQ+vXrh5xWRERSza+//sq8efOYO3cunTt3pk6dOkyYMIGuXbtiZtSrV4927drRoEEDypQpE2rWpHWI3H2nmWWNzS4OPJ81NhtId/dxsdfOjo3N3oXGZouI5Mrduffee/nwww/5+OOP2bp1KwC9evWibdu2HHXUUbz77rs0aNCAypUrh5xWRERSzapVq7j77rv5+OOPWbx4McGoYzj88MOpU6cO7dq+NYwWAAAgAElEQVS1Y/r06dSvX58KFSqEnPZ/LCtoYZGWlubp6elhxxARSRp3Z9myZcyYMYMZM2ZQqlQpnnnmGQBOOeUUSpYsSbNmzWjWrBlNmzblyCOP3Mca85+ZzXP3tALfcCGgOiUiRd22bduYO3fu7jp1zjnn0Lt3b3755ReOP/54GjZsSKNGjWjYsCFpaWmEcX+2vNSpsCdVEBGROA888AD/+te/WL06uOSyYsWKnHfeebtf/+STTyhevHhY8UREJAXt2LGDUqVK4e6cddZZzJgxg4yMDACOO+643WeCKleuzI8//hjqBAn7Qx0iEZEC5u58++23TJ8+nenTpzNz5kwWLFhAuXLlKFOmDGeccQYtWrSgefPm1KtXj2LF/neHBHWGREQk2davX89///tfpk2bxrRp0zjooIOYOXMmZsaJJ55I48aNadasGaeffjpVqlT53XsLW2cI1CESESlQ48ePp1evXqxYsQKAQw89lJYtW7JhwwbKlStH3759Q04oIiKpZvPmzbtvz/C3v/2Np59+GnenbNmyNGvWbPeEPQB///vfw4qZNOoQiYgkwY4dO5g5cyaTJ0/m3Xff5d5776Vjx44ceeSRNGrUiNtuu42WLVty/PHHF8qjaSIiUnhlZGQwe/Zs3n33Xd59913mzZvH6tWrOeyww2jevDlVqlShZcuWNGrUiNKlS4cdN+nUIRIRyUcbNmzgz3/+M9OmTWPLli2UKFGCpk2bUqpUKQBOPfVUXn/99ZBTiohIqsnMzKRYsWJMnjyZiy++mE2bNlGsWDGaNGnCnXfeubvdhRdeyIUXXhhi0oKnDpGIyH7KyMjgww8/ZPz48VSsWJH+/ftTsWJF1q9fT9euXTnnnHNo1aoVBx98cNhRRUQkxWzdupVp06YxadIkJk+ezG233cY111zDcccdxyWXXMI555xD69atqVSpUthRQ6cOkYhIHo0bN45XX32ViRMnsmnTJkqXLs1ll10GBBeTfvTRRyEnFBGRVLV9+3a6dOnC1KlT+e233yhbtiwtW7akevXqANSqVYuhQ4eGnDJa1CESEdmHJUuWMHHiRHr16kWxYsV45513mD59Ol26dKFDhw60bduW8uXLhx1TRERSjLvz2WefMX78eLZs2cJDDz1E6dKlKVasGN27d6d9+/Y0b96cMmXKhB010tQhEhHJwaJFixg9ejSjR4/m888/B6BVq1acdNJJPPLII/zjH//43XTYIiIiBWXWrFm88sorjBs3jpUrV2JmnHXWWbg7ZsZbb70VdsRCRdVcRITgKNv27dsBmDJlCieccAL9+/enUqVKPPnkk3z33XecdNJJABx88MHqDImISIHJyMhg8uTJu+vU22+/zfDhw6lfvz7Dhg3jhx9+YOrUqZq1dD/pDJGIpCx3Z/78+YwaNYrRo0dzxRVXMGDAAJo3b86QIUP405/+RLVq1cKOKSIiKWjHjh1MnTqV119/nbfeeov169czYcIEzj//fPr27cudd95J2bJlw45ZJKhDJCIp6ZFHHmH48OF8+eWXlChRgtatW3PqqacCUKZMGW644YaQE4qISKpatmwZDRo0YOPGjVSsWJFOnTrRpUsXWrduDaCZ4fKZOkQikhJ++ukn3n///d2zwc2ZM4fDDjuMm266iQsvvJDKlSuHnFBERFKRuzNnzhxefvllqlSpwoABAzjqqKO46qqrdk+NnQo3Rw2TOkQiUmRt2bKFN954g1deeYWpU6eSmZlJs2bNqFmzJv/5z38oUUJfgSIiEo4lS5bw8ssv88orr7Bs2TLKlCnD//3f/wFQrFgxnnrqqZATpg5dFSwiRdL777/P4YcfzlVXXcXXX39Nv379+OKLL6hZsyaAOkMiIlLgfvnlF9wdgIcffpj777+f2rVrM3z4cH766Sf+8Y9/hJwwNekvAhEpEr7//nteeukl6tatS+fOnTn11FO5+OKL6datG2eccYZm3hERkVDs2rWLKVOmMGzYMN566y1mzpxJWload999NwMGDKBGjRphR0x56hCJSKG1Y8cOxo8fz/Dhw5k4cSKZmZnccMMNdO7cmcqVKzNs2LCwI4qISIrauHEjjz76KC+88AKrVq2iatWq9OrVi6pVqwJQq1atkBNKFnWIRKTQuuCCC5g4cSLVq1enX79+dOvWjWOOOSbsWCIikqJ+++03vv32W44//nhKlizJkCFDaNKkCU888QQdO3akVKlSYUeUHKhDJCKFwq5du3j33XcZNmwYzz33HJUqVeLGG2+kZ8+etGvXjuLFi4cdUUREUtSyZct49tlnGTZsGIcddhgLFy6kXLlyfPfdd1SoUCHseLIP6hCJSKStWbOG559/nmeffZbly5dz6KGHsmjRIk4//XTatm0bdjwREUlhM2fO5IEHHmDSpEkUK1aMCy64gB49eux+XZ2hwkEdIhGJrO+//56jjjqKHTt20KJFCx566CH+9Kc/aciBiIiE5ueff6ZEiRL84Q9/YNWqVXz22Wfce++9XHvttZogoZDStNsiEhm7du1i7NixDBo0CIDq1avz6KOPsmjRIqZPn84ll1yizpCIiIRiwYIF/N///R9HHHHE7umxO3fuzPLly7n33nvVGSrE1CESkdBt2rSJp556irp16/KnP/2J559/nu3btwPQu3dvjj/++JATiohIqpo0aRJt27bllFNOYdSoUVx77bVceOGFQHBPu5IlS4acUA6UOkQiEqrx48dzxBFH8Le//Y1q1arx+uuvs3jxYkqXLh12NEkBZtbOzL4ys6Vm1i+H17uZ2c9m9mns59owcopIwcrIyNj9eMiQISxatIhBgwaxcuVKhgwZwnHHHRdiOslvuoZIRArcwoUL2bVrFyeffDKnnHIKHTp04K9//SuNGjUKO5qkEDMrDgwB2gKrgLlmNs7dF2Vr+h9371XgAUWkwK1Zs4a///3vDB06lFmzZnH00Ufz73//m8qVK2vIdhGmM0QiUmBmz57NBRdcwIknnsgdd9wBQM2aNXnllVfUGZIwNAKWuvs37r4DGAl0CjmTiIRgxYoV9OnTh9q1azNw4ECaNm26+yzR4Ycfrs5QEZfUDpGGIogIwPTp02nVqhVNmzblgw8+4J577uGFF14IO5ZIDWBl3PNVsWXZXWhmC8xstJkdmdOKzKy7maWbWfrPP/+cjKwikiSbNm2iXr16/POf/+SSSy5h0aJFjB07lmOPPTbsaFJAkjZkTkMRRFKbu+PuFCtWjDlz5vD111/z2GOP0b17dw466KCw44kkajzwmrtvN7PrgBeBs7I3cvehwFCAtLQ0L9iIIpJX8+fPZ/z48dxzzz0cfPDBPPfcc5x++unUrFkz7GgSgmSeIdJQBJEU5O689dZb1K9fn5EjRwLQp08fvvnmG2666SZ1hiRKVgPxZ3yOiC3bzd3Xufv22NPngAYFlE1EkiA9PZ3zzz+f+vXr89hjj/H9998DcOmll6ozlMKS2SHKt6EIIhJ97s64ceNo0KABF1xwAZs3b959h+6yZctq1jiJornAMWZ2lJmVAi4FxsU3MLNqcU87AosLMJ+I5JNVq1bRsWNHGjZsyOzZs3nwwQdZsWIF1atXDzuaREDYs8wlNBTBzLoD3QH13kUi6vLLL2fkyJHUqVOHF154gSuuuIISJcL+ihHJnbvvNLNewGSgOPC8uy80s/uAdHcfB/Qxs47ATuAXoFtogUUkz7Zu3Uq5cuU4+OCDWbx4MQMHDqR37967D9iJAJh7coY6m1lToL+7nxN7fjuAuw/KpX1x4Bd3r7i39aalpXl6enp+xxWR/fDee+/RpEkTypcvz4QJE1i7di1XXnmlOkIpwMzmuXta2DmiSHVKJHxffPEFAwYMYPHixXz22WcUL16czMxMihXTBMupIi91Kpn/KjQUQaSImjdvHm3btqVNmzY8++yzALRv355u3bqpMyQiIqFZvnw5Xbt25eSTT2by5Ml07tx59/TZ6gxJbpL2l4uGIogUPUuWLOGuu+5i1KhRVKlShccff5wePXqEHUtERIQ5c+Zw5plnUqxYMW655RZuvfVWqlSpEnYsKQSSeijX3d8B3sm27J64x7cDtyczg4jknxtuuIGZM2dy11130bdvXypW3OsIVxERkaTaunUrixYtIi0tjQYNGtC3b1969OjBEUccEXY0KUQ0tkVEcrVlyxYGDx7MX/7yF2rUqMGQIUM4+OCDOfzww8OOJiIiKWznzp0MHz6c/v37k5GRwXfffUfZsmUZOHBg2NGkENJgShHZQ2ZmJiNGjKBu3boMGDCACRMmAFC3bl11hkREJFSTJ0/m5JNPpnv37tSqVYs33niDsmXLhh1LCjF1iETkd2bOnEmTJk3o2rUrNWrU4KOPPuK6664LO5aIiAjp6em0a9eOHTt28MYbbzBjxgyaN28ediwp5DRkTkR+Z+jQoaxevZqXXnqJK664QrPyiIhIqDZs2MCMGTM4//zzSUtL4/XXX6dDhw664bfkG3WIRFLcli1bGDRoEJ07d6Z+/fo89thjlClThvLly4cdTUREUtiuXbt47rnnuOuuu9i8eTMrV66katWqdOnSJexoUsTo0K9IinJ3xowZQ7169Rg4cCDvvvsuAFWqVFFnSEREQvXRRx9Rv359rr/+eurVq8fMmTOpWrVq2LGkiNIZIpEUtHTpUvr06cPEiRM56aST+PDDDznjjDPCjiUiIsLq1atp1aoV1atX5/XXX+fCCy/EzMKOJUXYXjtEZnYEcCnQHKgObAO+AN4GJrp7ZtITiki+e/nll/noo494/PHH6d27NyVK6NiIFE6qUyJFQ2ZmJtOmTaN169bUqFGDt956ixYtWmjEghQIc/ecXzAbDtQAJgDpwBqgDFAXaAU0APq5+wcFEzWQlpbm6enpBblJkSLh7bffpnTp0rRp04Zt27axfv16qlevHnYsKaTMbJ67p4WcQXVKpAj45JNP6NGjBx9//DEff/wxDRs2DDuSFAF5qVN7Oyz8mLt/kcPyL4A3zawUUHN/AopIwfnhhx/o3bs3b7zxBueddx5t2rShbNmyumeDFAWqUyKF2KZNm7jrrrsYMmQIVatWZcSIEaSlhXqcRVJUrh2iXIpM/Os7gKX5nkhE8kVmZibDhg3jlltu4bfffuPBBx/k5ptvDjuWSL5RnRIpvHbt2kXTpk1ZvHgxN9xwAw888ACVKlUKO5akqH1eOGBmzYD+QK1YewPc3Y9ObjQRORDjx4+ne/futGzZkqFDh3LMMceEHUkkKVSnRAqPdevWUblyZYoXL86AAQOoWbMmjRo1CjuWpLhEpt0eBjwOnAE0BNJi/xWRiMnIyGD+/PkAdOzYkbFjx/L++++rMyRFneqUSMS5OyNGjKBu3bo8//zzAHTp0kWdIYmERDpEG919oruvcfd1WT9JTyYieZKenk5aWhotW7Zk3bp1mBmdOnXSVKWSClSnRCLsu+++47zzzqNr164ce+yxNG3aNOxIIr+TSIdompkNNrOmZlY/6yfpyUQkITt27ODuu++mSZMmrF27lhdffJEqVaqEHUukIKlOiUTUiBEjOPHEE/nwww95+umn+fDDD6lXr17YsUR+J5GbjzSO/Td+2g8Hzsr/OCKSF1u2bOGMM87g008/5aqrruLJJ5/URamSilSnRCKqSpUqNGvWjGeffZZatWqFHUckR/vsELl7q4IIIiKJc3fMjPLly3P22WczYMAAOnbsGHYskVCoTolER9a1QmvWrKFv376cd955nHvuuRq+LZG2zyFzZlbRzB43s/TYz2NmVrEgwonInhYvXkzz5s359NNPAXj44YfVGZKUpjolEg1r1qyhc+fOXHXVVbzzzjvs2rULQJ0hibxEriF6HvgVuDj2swkYnsxQIrKnzMxMHnvsMU477TS+/PJLfvrpp7AjiUSF6pRIyMaMGcOJJ57IO++8w+DBg5kyZQrFixcPO5ZIQhK5hqiOu18Y93yAmX2arEAisqfVq1fTtWtX3n//fTp16sSzzz7LYYcdFnYskahQnRIJ0fLly7n44os5+eSTmTZtGieccELYkUTyJJEzRNvM7IysJ7Eb4G1LXiQRyW7YsGHMnj2b5557jjFjxqgzJPJ7qlMiIVixYgUAtWvXZsqUKcyePVudISmUEukQ9QCGmNlyM/sOeAa4PrmxRGTLli188cUXANx+++0sWLCAa665RmOxRfakOiVSgHbt2sWgQYOoU6cOEydOBKBly5aULFky5GQi+yeRWeY+BU4xs4NjzzclPZVIips3bx6XX345W7duZenSpZQuXZo6deqEHUskklSnRArO6tWr+fOf/8y0adO45JJLdJNVKRJy7RCZ2ZXu/rKZ3ZRtOQDu/niSs4mknMzMTB599FHuuusuDj30UEaMGEHp0qXDjiUSSapTIgVr/PjxdOvWje3btzN8+HCuuuoqjVqQImFvQ+bKx/5bIZcfEclHmzdv5rzzzuO2226jY8eOLFiwgFatdHsVkb044DplZu3M7CszW2pm/fbS7kIzczNLy62NSFG3Zs0aateuzSeffEK3bt3UGZIiw9w97Ax5kpaW5unp6WHHEMl3mZmZXHTRRZx99tl0795dhUYizczmuXuh7hyYWXHga6AtsAqYC1zm7ouytasAvA2UAnq5+16LkOqUFCVLlizhq6++on379rg7O3fu1LVCUijkpU4lcmPWR8zsYDMraWbvmdnPZnblgccUkax7C61YsYJixYoxevRorrvuOnWGRPLgAOpUI2Cpu3/j7juAkUCnHNrdDzwM/JaPsUUi74033qBBgwbccMMNbN++HTNTZ0iKpERmmTs7doFqe2A58EfglkRWrqEIIrlbu3Yt7du3p2/fvrz44ouA7uYtsp/2t07VAFbGPV8VW7abmdUHjnT3t/e2IjPrbmbpZpb+888/5yW7SOTs2LGDG2+8kS5dulCvXj0+/PBDXc8qRVoiN2bNanM+8Lq7b0zkj7bYUIQhxA1FMLNxuQxF+CswJy/BRQqzGTNmcOmll7JmzRr+8Y9/cP31miFY5ADsV53aFzMrBjwOdNtXW3cfCgyFYMjcAW9cJCS//fYbZ511FrNmzaJPnz4MHjyYUqVKhR1LJKkSOUM0wcy+BBoA75nZISQ2bEBDEURyMH78eFq0aEHp0qWZPXs2PXr00JkhkQOzv3VqNXBk3PMjYsuyVABOBKab2XKgCTBOoxmkKCtTpgwtWrRg1KhRPPXUU+oMSUrYZ4fI3fsBpwNp7p4BbCHnjk12GoogkoOWLVvSp08f5s2bx2mnnRZ2HJFC7wDq1FzgGDM7ysxKAZcC4+LWu9Hdq7p7bXevDcwGOu5rUgWRwiYzM5MBAwaQNRnIoEGDuOiii0JOJVJwEplU4SIgw913mdldwMtA9QPdcNxQhJv31dbdh7p7mrunHXLIIQe6aZECt2TJkt03Wq1QoQKPP/44FStWDDuWSJGwv3XK3XcCvYDJwGJglLsvNLP7zKxjUkOLRMTGjRvp1KkT/fv3Z8yYMWHHEQlFIkPm7nb3X83sDKANMAz4ZwLv01AEEWDChAk0bNiQyZMn8/XXX4cdR6Qo2t86hbu/4+513b2Ouw+MLbvH3cfl0Lalzg5JUbJ48WIaNWrEpEmTeOaZZ3jggQfCjiQSikQ6RLti/z0fGBob3pbIgFINRZCUljUEoUOHDhx99NHMmzePU089NexYIkXR/tYpkZS1YMECGjduzIYNG3jvvffo2bOnrmeVlJVIh2i1mT0LXAK8Y2alE3mfhiJIqrv11lvp378/Xbt2ZcaMGdSuXTvsSCJF1X7VKZFUVq9ePa655hrS09M588wzw44jEipz3/vsoGZWDmgHfO7uS8ysGnCSu79bEAGz0x3ApbBYtmwZ7777Ltdff72OukmRk5c7gCeb6pRIYjZt2sTNN9/M/fffz+GHHx52HJGkykudSuRMz1ZgDXBGbNFOYMn+xxMpuqZMmcJ1112Hu1OnTh1NqS1SAFSnRPZt2bJlNGnShOHDhzNjxoyw44hESiKzzN0L3AbcHltUkmAGHxGJcXf+/ve/c+655zJr1izWr18fdiSRlKE6JbJ3H3zwAY0bN+ann35i6tSpXHjhhWFHEomURMZY/wnoSHBfB9z9e4IZ4kQEyMjIoEePHvTp04f27dszc+ZMKleuHHYskVSiOiWSi4kTJ9KmTRsOOeQQ5syZQ8uWLcOOJBI5iXSIdnhwoZEDmFn55EYSKVwuu+wynn32Wfr168ebb77JQQcdFHYkkVSjOiWSiyZNmtCtWzdmzZrFH//4x7DjiERSIh2iUbHZeyqZ2V+AqcC/kxtLpPDo2bMnL730EoMGDaJYMU1sJRIC1SmROJs3b+buu+9m+/bt/OEPf2Do0KFUqlQp7FgikVViXw3c/VEzawtsAo4F7nH3KUlPJhJhU6dO5fPPP+fGG2+kVatWYccRSWmqUyL/s2rVKjp06MCCBQto3rw5Z599dtiRRCJvrx0iMysOTHX3VoCKiwgwfPhwunfvzgknnEDPnj0pVUr3fxQJi+qUyP988skntG/fns2bNzNhwgR1hkQStNfxPe6+C8g0s4oFlEckstyde+65h6uvvppWrVrxwQcfqDMkEjLVKZHA1KlTOfPMMylZsiQzZ87k3HPPDTuSSKGxzyFzwGbgczObQmwGHwB375O0VCIR4+5cc801DB8+nKuvvpp//etflCxZMuxYIhJQnZKUV716dRo3bsyIESOoXr162HFECpVEOkRvxn5EUpaZ0bBhQ44++mjuvPNO3WxVJFpUpyQluTtvv/02559/PvXq1eO9994LO5JIoZTIpAovmlkp4DiCKU2/cvcdSU8mEgHLly9n6dKltGnThh49eoQdR0RyoDolqSgjI4PrrruO4cOHM27cODp06BB2JJFCa58dIjM7D3gWWAYYcJSZXefuE5MdTiRM6enptG/fnpIlS7J06VJKly4ddiQRyYHqlKSaX3/9lYsuuojJkydz77330r59+7AjiRRqiQyZexxo5e7/3979x9lY5/8ff7yMERWJRuVHSEp+lYyy/UKRX6UhCmn7XVptP7aUbvWR1JKPPsWW+rKt1C7Z/IhpmaiUqGzZVERJKE1tUZE0Ysbr+8c5o0mDM2POua4553m/3c7NOde5zjlPZ/Dyuq739X6vATCzRsAcQIVGktZLL71Ez549OeKII8jJyVEzJBJuqlOSMv773//SrVs3PvjgA5588kmuvvrqoCOJlHuxrCK5tbDIRK0FtsYpj0jgnn32Wbp3706jRo146623OPHEE4OOJCL7pjolKWPZsmV8+umnZGdnqxkSKSOxnCFaamZzgeeIjM3uA7xjZr0A3F0XskpSWbhwIb/73e/Izs7msMM0k69IOaA6JUlv69atVK1ala5du7J+/XoOP/zwoCOJJI1YzhBVBr4G2gHtgY1AFeACQINWJSm4O9988w0Ajz32GPPmzVMzJFJ+qE5JUlu8eDHHHnssc+bMAVAzJFLGYpll7so9t5lZJc3gI8kiPz+fG264gZdeeol3332XGjVqULFiLCdPRSQMVKckmc2dO5fevXtTr149mjdvHnQckaS03zNEZvaamTUo8rgN8E4cM4kkTF5eHn369OHJJ5/ksssu01E3kXJIdUqS1eTJk7nwwgtp2rQpixcvpn79+kFHEklKsRwGHwm8aGZ/AeoA3YDfHI0TKW+2bNlCjx49WLRoEX/5y1/44x//GHQkESkd1SlJOm+//TYDBgygQ4cOzJo1i2rVqgUdSSRpxTJkbp6ZDQReAjYBrdz9v3FPJhJnd9xxB2+++SZTpkyhb9++QccRkVJSnZJk1KZNG/72t7/Rv39/KleuHHQckaQWy5C5/wEeBc4GhgGvmVn3OOcSibsHH3yQ+fPnqxkSKedUpyRZuDvDhg1j5cqVmBlXXXWVmiGRBIhllrmawKnu/pa7jwc6A7fEN5ZIfHz22WdcffXVbN++ncMPP5wOHToEHUlEDpzqlJR7u3btYtCgQdx3333885//DDqOSErZb0Pk7re4e56ZHRx9/Jm7d4p/NJGytXr1as4880xmzpzJmjVr9v8CESkXVKekvCsoKODqq6/miSee4M4772TYsGFBRxJJKbEMmfudma0EPoo+PsnMHo97MpEy9MEHH3DWWWfx888/89prr2nqUpEkojol5dnOnTsZMGAAkyZNYtiwYYwcORIzCzqWSEqJZcjcGCLDD74FcPf3iYzTFikX3n77bdq3b096ejqvv/46J510UtCRRKRslbpOmVkXM/vYzNaY2ZBinh9oZsvN7D0zW2xmTcs0uaS8/Px8vv76a0aNGsW9996rZkgkADGtPunuG/b4C1oQnzgiZe+QQw6hcePGTJ06lYYNGwYdR0TioDR1yszSgHFAJ+AL4B0zy3b3lUV2m+Lu/y+6fw/gYaBLmQWXlJWXl8eOHTs47LDDmD9/vhYEFwlQLGeINpjZ6YCbWbqZ3Q6siuXNdeRNgvTJJ5/g7jRr1owlS5aoGRJJXqWtU6cCa9x9rbvvAKYCFxbdwd1/KPLwEMDLKrSkrh9//JHzzz+f7t27U1BQoGZIJGCxNEQDgUFEFrvLBU6OPt6nIkfeugJNgX7FNDxT3L2Fu58M/C+RI28iB2zevHm0aNGCcePGAWgIgkhyK1Wdiu6/ocjjL6LbfsXMBpnZp0Tq1E3FvZGZXWdmS81s6caNG0sYX1LJ1q1b6dq1KwsXLuSGG24gLS0t6EgiKS+WhVk3AZeW4r13H3kDMLPCI2+7hyLoyJvEQ05ODj179uTEE0+kX79+QccRkTg7gDoV6/uPA8aZWX/gHuDyYvaZAEwAyMzMVC2TYhU2Q0uWLGHq1Kn07t076EgiQmxniEpLR94k4f71r3+RlZVFs2bNeOWVV6hZs2bQkUQkvHKBekUe141u25upQFZcE0lSu53jricAACAASURBVPbaa9UMiYRQPBuimLj7OHdvBNxJ5MhbcftMcPdMd8/MyMhIbEApN77++msuvvhiWrZsycsvv0yNGjWCjiQi4fYO0NjMGppZJaAvkF10BzNrXORhd+CTBOaTJPPnP/+Z6dOnqxkSCZl4XsVXmiNvT8QxjyS5I488kunTp3P66adTvXr1oOOISMi5e76Z3QjMA9KAie7+oZkNB5a6ezZwo5l1BHYC31PMcDmRffnxxx+ZOHEif/zjH2nUqBGNGjUKOpJI6MxalsvoeR/z5eY8alevwuDOJ5DV6jcDy+Jmvw2Rmf2pmM1bgP+4+3v7eOnuI29EGqG+QP893ruxuxcebdORNymVmTNnUrFiRXr06EG3bt2CjiMiCXYAdQp3nwvM3WPb0CL3by6TkJKSfvzxR7p168abb77J6aefTmZmZtCRREJn1rJc7pq5nLydkdUScjfncdfM5QAJa4piGTKXSWQGnzrR2/VE1mD4q5ndsbcXuXs+UHjkbRXwXOGRt+haDhA58vahmb0H/AkdeZMSmjZtGhdffDGPPPII7rqOWSRFlapOicTTtm3b6N69O2+88QaTJ09WMySyF6Pnfby7GSqUt7OA0fM+TliGWIbM1QVOcfcfAczsXmAOkVXA/0NkMoRi6cibxNO0adPo168fbdu2JTs7W1Nri6SuUtcpkXgobIYWL17M5MmTueSSS4KOJBJaX27OK9H2eIjlDFEt4Ocij3cCR7p73h7bRRJm9uzZ9O/fn7Zt25KTk0PVqlWDjiQiwVGdklB59913efvtt/nHP/5B3759g44jEmq1q1cp0fZ4iOUM0WTg32Y2GzDgfGCKmR1CkTWFRBJp4cKFtG7dmrlz56oZEhHVKQkFd8fMOOuss1i7di1HHXVU0JFEQm9w5xN+dQ0RQJX0NAZ3PiFhGSyW6y7MLBM4I/rwDXdfGtdU+5CZmelLlwb28RKw/Px8KlasiLvz008/ccghhwQdSSQlmdl/3D00F0WoTknQdu7cSd++fenZsycDBgwIOo5IuRKPWeZKUqdinXZ7J7AL8Oh9kYRbuHAh1157LXPmzKFx48ZqhkSkKNUpCUxBQQEDBgxg5syZnHPOOUHHESl3slrVSeg023va7zVEZnYzkeEIRxAZp/0PM/tjvIOJFPXGG2/QvXt30tPTOeyww4KOIyIhojolQdq1axdXX301zz33HKNHj2bQoEFBRxKREorlDNHVwGnuvg3AzEYBbwGPxjOYSKG3336brl27Urt2bV5++WVq1aoVdCQRCRfVKQmEuzNo0CCefvpp7rvvPm6//fagI4lIKcQyy5wBRScHL4huE4m7FStW0LlzZzIyMliwYAFHH3100JFEJHxUpyQwGRkZ3HnnnfzP//xP0FFEpJRiOUP0FJHZe56PPs4C/ha/SCK/qF+/Pt26dWPEiBHUrVs36DgiEk6qU5JwGzduJCMjg+HDh++eXU5Eyqf9niFy94eBK4Hvorcr3X1MvINJavv000/56aefqFq1KpMnT6Z+/fpBRxKRkFKdkkQbNWoUJ554ImvXrgVQMyRSzu31DJGZ1SjycH30tvs5d/8ufrEkla1fv5527drRtm1bpk+fHnQcEQkp1SkJwqOPPsqQIUPo37+/DtaJJIl9DZn7D5HpSwsPexQuWGTR+8fGMZekqK+++oqOHTuybds2hg4dGnQcEQk31SlJqGeeeYabbrqJrKwsJk2aRFpaWtCRRKQM7LUhcveGiQwi8t1333Heeefx3//+l5dffpmWLVsGHUlEQkx1ShJp4cKFXHXVVZx77rlMnTqV9PT0oCOJSBnZ6zVEZtZgXy+0CF3lLmXmiiuuYPXq1cyePZu2bdsGHUdEQk51ShLp1FNPZfDgwcyaNYuDDjoo6DgiUob2NWRutJlVAGYTGZawEagMHAd0AM4F7gW+iHdISQ0PPfQQAwcO5Nxzzw06ioiUD6pTEncrVqygbt26VK9enZEjRwYdR0TiYF9D5vqYWVPgUuAq4GjgJ2AVMBf4s7tvT0hKSVo7d+5kypQp/P73v+f444/n+OOPDzqSiJQTqlMSbx999BEdOnTg9NNPZ/bs2UHHEZE42ec6RO6+Erg7QVkkxRQUFHD55Zfz7LPP0qBBA9q1axd0JBEpZ1SnJF4+//xzzjvvPCpUqMBDDz0UdBwRiaNYFmYVKXPuzqBBg3j22WcZOXKkmiEREQmNjRs3ct5557FlyxYWLlxI48aNg44kInGkhkgSzt0ZMmQI48ePZ8iQIQwZMiToSCIiIrtdf/31fPbZZ8yfP5+TTz456DgiEmd7nWVOJF4++ugjHn74YW644QZGjBgRdBwREZFfGTt2LC+88AJnnXVW0FFEJAH22xBFpy0dYGZDo4+PMbNT4x9NktWJJ57Iv//9bx577DHMbP8vEBHZB9UpKQv5+fmMHz+egoIC6tWrR8eOHYOOJCIJEssZoseB3wH9oo+3AuPilkiS1qxZs5g+fToAp5xyChUq6ASliJQJ1Sk5IO7Oddddx8CBA5k/f37QcUQkwWK5hug0dz/FzJYBuPv3ZlYpzrkkybz++uv07duX1q1b06tXLzVDIgk0a1kuo+d9zJeb86hdvQqDO59AVqs6QccqS6pTckDuuecennrqKe699166du0adBwRSbBYGqKdZpYGOICZZQC74ppKksoHH3xAjx49aNiwIdnZ2WqGRBJo1rJc7pq5nLydBQDkbs7jrpnLAZKpKVKdklJ77LHHGDFiBNdeey333ntv0HEClwIHUER+I5b/mf4FeB6oZWZ/BhYDuhJeYrJ+/Xq6dOnCoYceyrx586hZs2bQkURSyuh5H+9uhgrl7Sxg9LyPA0oUF6pTUirffPMNQ4YMoUePHjz++OMpf11r4QGU3M15OL8cQJm1LDfoaCJxtd8zRO4+2cz+A5wLGJDl7qvinkySwrRp08jLy2PRokUcc8wxQccRSTlfbs4r0fbySHVKSqtWrVq8/vrrNGnShIoVtRLJvg6g6CyRJLNYZplrC+S6+zh3fwzINbPT4h9NksHgwYNZsWIFzZs3DzqKSEqqXb1KibaXRwdSp8ysi5l9bGZrzOw3i6KZ2Z/MbKWZfWBmr5hZ/bLOL4m3YsUKJk2aBEQm+Tn44IODDRQSqXAARaQ4sQyZewL4scjjH6Pb9kuFJjXt2LGDyy+/nPfffx+AOnV0VKnQrGW5nPHgAhoOmcMZDy7QMASJu8GdT6BKetqvtlVJT2Nw5xMCShQXpapT0euOxgFdgaZAPzNrusduy4BMd28JTAf+t0wSS2A2bNhAly5duPvuu/nhhx+CjhMqqXAARaQ4sTRE5u5e+MDddxHDUDsVmtS0a9currzySp555hmWLVsWdJxQ0dhsCUJWqzqM7NWCOtWrYECd6lUY2atFsg1/KVWdAk4F1rj7WnffAUwFLiy6g7u/6u4/RR8uAeqWUWYJwPfff0/Xrl3ZunUrOTk5VKtWLehIoZIiB1BEfiOWgrHWzG7il6NtfwDWxvC63YUGwMwKC83Kwh3c/dUi+y8BBsQSWsLJ3bntttuYMmUKI0aM4Iorrgg6UqhobLYEJatVnWT/M1baOlUH2FDk8RfAvobaXQ3kFPeEmV0HXAfoesmQ2r59O1lZWaxevZp58+bRsmXLoCOFTuG/E5plTlJNLA3RQCIz+NxDZErTV4j+o78fZVZopHwYPXo0Y8aM4aabbmLIkN+MkEx5GpstEjelrVMxM7MBQCbQrrjn3X0CMAEgMzPTi9tHgjVnzhwWLVrElClT6NChQ9BxQisFDqCI/EYss8x9A/SNZ4j9FRodeQu/goICFixYQN++fXnkkUdSfurS4tSuXoXcYpofjc0WOTAHUKdygXpFHteNbvsVM+sI3A20c/efSxVSAnfRRRexYsUKmjbdc/S+iKS6WK4FygCuBRoU3d/dr9rPS8us0OjIW7i5O2lpaWRnZwNo4dW9GNz5hF8tkAkamy1SFg6gTr0DNDazhkTqU1+g/x7v3QoYD3SJNl5SzowZM4Y2bdpwxhlnqBkSkWLF8j/X2cBhwMvAnCK3/dldaMysEpFCk110hyKFpocKTfm0ZMkSzjnnHDZu3EilSpWoVKlS0JFCK0UubhcJQqnqlLvnAzcC84BVwHPu/qGZDTezHtHdRgOHAtPM7D0zy97L20kITZo0iVtvvZWJEycGHUVEQiyWa4gOdvc7S/rG7p5vZoWFJg2YWFhogKXuns2vCw3A5+7eY69vKqGyatUqunfvTo0aNSgywZPsg8Zmi8RFqeoUgLvPBebusW1okfsdDzCbBCQnJ4drrrmGjh078sQTMa0WIiIpKpaG6F9m1i1aNEpEhSZ5bdiwgc6dO1OpUiXmz59PrVq1go4kIqmr1HVKktM777xD7969admyJTNmzNDoBRHZp1iGzN1MpNjkmdkPZrbVzLSSWQr77rvv6NKlC1u2bCEnJ4eGDRsGHUlEUpvqlPzK3/72N4488kjmzp2rtYZEZL9imWWuaiKCSPnxww8/YGbMnj2bk08+Oeg4IpLiVKdkT+PGjeObb77hqKOOCjqKiJQDsQyZw8wOBxoDlQu3ufvr8Qol4ZSfn0+FChVo0KAB77//Pmlpaft/kYhIAqhOydatW/nDH/7AiBEjqFevHkcffXTQkUSknIhl2u1riAxHqAu8B7QF3gLOiW80CRN357rrrqOgoIBJkyapGRKR0FCdkh07dtC7d29eeeUVLr30UurVq7f/F4mIRMV6DVEb4DN37wC0AjbHNZWEzt13381TTz3Fscceq0VXRSRsVKdSmLtzzTXXMH/+fCZMmECXLl2CjiQi5UwsDdF2d98OYGYHuftHgFaSTCFjx45l5MiRXH/99QwdOnT/LxARSSzVqRR211138fe//53hw4dz1VX7W4tXROS3YrmG6Aszqw7MAl4ys++Bz+IbS8Ji6tSp3HLLLfTq1Ytx48bp7JCIhJHqVIr66aefyMnJ4frrr+eee+4JOo6IlFOxzDLXM3p3mJm9SmQ18BfjmkpCIyMjg/PPP5/JkyfruiERCSXVqdR18MEHs2jRIg455BAdsBORUtvrkDkzqxb9tUbhDVgOLAYOTVA+CciWLVsAOPfcc3nhhReoXLnyfl4hIpJYqlOp67XXXuOSSy4hLy+PatWq6YCdiByQfV1DNCX663+ApcX8Kklq9erVHH/88UycODHoKCIi+6I6lYKWL19OVlYWy5cvJy8vL+g4IpIE9jpkzt3Pt8j553bu/nkCM0mAvvrqKzp37oy7c9ZZZwUdR0Rkr1SnUs/nn39Oly5dOPTQQ3nxxRepUaNG0JFEJAnsc5Y5d3dgToKySMA2b95M165d2bhxI3PnzqVx48ZBRxIR2SfVqdTx3Xff0aVLF7Zt20ZOTg7HHHNM0JFEJEnEMu32u2bWJu5JJFD5+flceOGFrFy5kueff57MzMygI4mIxEp1KgV8/vnn/PDDD8yePZsWLVoEHUdEkkgs026fBlxqZp8B2wAjclCuZVyTSUJVrFiRXr16ccMNN9CpU6eg44iIlITqVBJzd8yMk08+mTVr1miSHxEpc7E0RJ3jnkIC4+6sX7+ehg0bcvPNNwcdR0SkNFSnkpS7M3DgQI466iiGDRumZkhE4mK/Q+bc/TN3/wzIA7zITZLA0KFDadmyJZ988knQUURESkV1KnkNHz6cCRMmsHPnTq0zJCJxs9+GyMx6mNknwDpgIbAeyIlzLkmARx99lAceeIC+ffty3HHHBR1HRKRUVKeS01//+leGDRvG5Zdfzp///Oeg44hIEotlUoX7gbbAandvCJwLLIlrKom7qVOncvPNN5OVlcUTTzyhI28iUp6pTiWZ7OxsBg4cSNeuXfnrX/+qGiUicRVLQ7TT3b8FKphZBXd/FdAUZOXYO++8w+9//3vOPPNMpkyZQsWKsVxKJiISWqpTSWbLli20bduWadOmkZ6eHnQcEUlysTREm83sUOB1YLKZjSUyi4+UUyeffDJ33XUX2dnZVKlSJeg4IiIHSnUqSezcuROAyy67jEWLFnHIIYcEnEhEUkEsDdGFRC5UvRV4EfgUuCCeoSQ+1qxZw9dff016ejr33Xcf1atXDzqSiEhZUJ1KArm5uTRv3pzs7GwAKlSI5b8oIiIHbq9jpcxsHDDF3d8osvnp+EeSePjyyy/p2LEjtWvX5o033tB4bBEp91SnksfmzZvp2rUrX375JXXr1g06joikmH1dPLIaeMjMjgaeA55192WJiSVlafPmzXTp0oVvv/2WGTNmqBkSkWShOpUEtm/fTs+ePVm1ahVz587llFNOCTqSiKSYvZ6Pdvex7v47oB3wLTDRzD4ys3vN7PiEJZQDsm3bNrp3785HH33E888/T+vWrYOOJCJSJlSnyr/8/Hz69evHa6+9xqRJk+jUqVPQkUQkBcW6MOsod28F9AOygFVxTyZlYvDgwSxZsoQpU6bQsWPHoOOIiJQ51anyq0KFCtSvX5+xY8dy6aWXBh1HRFLUfudbNrOKQFegL5G1HV4DhsU1lZSZ++67j06dOtGzZ8+go4iIxIXqVPnj7nz//ffUqFGDMWPGBB1HRFLcXs8QmVknM5sIfAFcC8wBGrl7X3efnaiAUnK7du1i/Pjx7Nixg4yMDDVDIpKUyqJOmVkXM/vYzNaY2ZBinj/bzN41s3wz6122v4PUNWrUKFq0aMEXX3wRdBQRkX0OmbsLeBM40d17uPsUdy/Rug4qNInn7vzpT39i4MCBPPfcc0HHERGJpwOqU2aWBowjcnapKdDPzJrusdvnwBXAlLKJLBMmTOCuu+6iXbt21K5dO+g4IiJ7HzLn7uccyBsXKTSdiBy9e8fMst19ZZHdCgvN7QfyWfKL4cOHM3bsWG655RaNxxaRpHagdQo4FVjj7msBzGwqkTWNdtcpd18ffW7XAX6WANOnT2fgwIF07dqVp59+WmsNiUgoxPNfot2Fxt13AIWFZjd3X+/uHwAqNGVgzJgxDBs2jCuvvJL/+7//0/TaIiL7VgfYUOTxF9FtJWZm15nZUjNbunHjxjIJl2wWL15M//79Of3005k+fTrp6elBRxIRAeLbEKnQJNCmTZu47777uOiii5gwYYKOuomIJJC7T3D3THfPzMjICDpOKJ100klce+21/Otf/+Lggw8OOo6IyG77nWUuDNx9AjABIDMz0wOOE0pHHHEEb731Fg0bNqRixXLxYxURCVouUK/I47rRbVKGVq1aRb169ahatSrjxo0LOo6IyG/E8zSCCk0CTJ8+nVGjRgHQpEkTDjrooIATiYiUG+8Ajc2soZlVIjJtd3bAmZLKhx9+yNlnn80111wTdBQRkb2KZ0OkQhNns2fPpl+/fmRnZ7Njx46g44iIlCvung/cCMwjspDrc+7+oZkNN7MeAGbWxsy+APoA483sw+ASly+ffPIJHTt2JD09nQceeCDoOCIiexW3sVXunm9mhYUmDZhYWGiApe6ebWZtgOeBw4ELzOw+d28Wr0zJZM6cOfTp04fWrVuTk5NDpUqVgo4kIlLuuPtcYO4e24YWuf8OkREOUgLr16/n3HPPJT8/n4ULF3LccccFHUlEZK/ierGJCk18zJs3j169etGyZUtefPFFqlWrFnQkERERILIe3oABA9i6dSuvvfYaTZvuubSTiEi46Or7cig3N5fmzZszf/58qlevHnQcERGR3cyMp556is2bN3PSSScFHUdEZL80N3M5snXrVgCuuuoqlixZQo0aNQLJMWtZLmc8uICGQ+ZwxoMLmLVMc2WIiKS6b775hoceegh3p3HjxrRp0yboSCIiMVFDVE689NJLNGjQgEWLFgEEtqDdrGW53DVzObmb83Agd3Med81crqZIRCSFff3113To0IGhQ4fy8ccfBx1HRKRE1BCVA3PnzuWCCy6gbt26NGnSJNAso+d9TN7Ogl9ty9tZwOh5KoAiIqnoq6++on379qxfv565c+cGXqdEREpKDVHIzZo1i6ysLJo3b86CBQsIegX0LzfnlWi7iIgkr9zcXNq3b8+GDRvIycmhffv2QUcSESkxNUQh9vbbb9O7d29at27Nyy+/TM2aNYOORO3qVUq0XUREkteKFSvYtGkT8+bN4+yzzw46johIqaghCrHMzExGjBgRqtnkBnc+gSrpab/aViU9jcGdTwgokYiIJNr27dsB6Ny5M+vWreOMM84IONGvafIfESkJNUQhNGHCBNavX0+FChW44447qFq1atCRdstqVYeRvVpQp3oVDKhTvQoje7Ugq1WdoKOJiEgCrFq1iiZNmjBz5kyA0K2Fp8l/RKSktA5RiLg799xzDyNGjODWW2/l4YcfDjpSsbJa1VEDJCKSgpYuXUqXLl2oWLEijRo1CjpOsfY1+Y9ql4gURw1RSOTn53PDDTfw5JNPcu211zJ69OigI4mIiOz26quv0qNHD4444gheeukljjvuuKAjFUuT/4hISWnIXAhs376diy++mCeffJJ77rmH8ePHk5aWtv8XioiIJMDq1avp2rUr9evXZ/HixaFthkCT/4hIyakhCoGdO3eyYcMGxo4dy/3334+ZBR1JRERkt8aNG/PQQw+xcOFC6tQJ97AzTf4jIiWlIXMB+uSTTzj66KOpWrUqb775Junp6UFHEhERAWDXrl0MHTqUPn36cNJJJ3HjjTcGHSkmhdcJjZ73MV9uzqN29SoM7nyCrh8Skb1SQxSQV199lV69epGVlcVTTz2lZkhEREIjLy+Pyy67jBkzZlCxYkVOOumkoCOViCb/EZGSUEMUgIkTJ3L99ddz/PHHM3To0N88P2tZro5siYhIIL755hsuvPBC/v3vf/Pwww9zyy23BB1JRCSu1BAl0I4dO7j11lt5/PHH6dSpE9OmTeOwww771T6F6ycUThlauH4CoKZIRETiat26dbRr145NmzYxY8YMevbsGXQkEZG406QKCfTtt98yY8YMbr/9dubOnfubZgj2vX6CiIhIPNWtW5f27duzePFiNUMikjJ0higBli1bRsuWLTn66KP58MMPqVmz5l731foJIiKSSDt27OD+++/npptuIiMjg2eeeWa/r9HQbhFJJjpDFEf5+fkMHz6cNm3a8OijjwLssxkCrZ8gIiKJs2bNGs444wweeOABnn/++ZheUzi0O3dzHs4vQ7tnLcuNb1gRkThRQxQna9eupV27dtx777307duXq666KqbXaf0EERFJhH/84x+0atWKTz/9lBkzZnDdddfF9DoN7RaRZKMhc3GQnZ3NgAEDMDMmT55M//79Y36t1k8QEZF4e/zxxxk0aBBnnXUWkydPpl69ejG/VkO7RSTZqCGKgyOPPJLWrVszadIk6tevX+LXa/0EEREpa+7Ojz/+SNWqVenTpw9bt27l9ttvJy0tbf8vLqJ29SrkFtP8aGi3iJRXGjJXBnbu3Mno0aO57bbbADjttNNYsGBBqZohERGRsrZhwwYuuugiOnXqREFBARkZGdx5550lboZAQ7tFJPmoIToA7s7s2bNp3rw5d9xxB+vWraOgIDKu2swCTiciIqlu27Zt3HvvvZxwwgnk5OTQs2dP3P2A3jOrVR1G9mpBnepVMKBO9SqM7NVCIxtEpNzSkLlS+uSTT7jmmmt4/fXXadKkCS+88ALnn39+0LFEREQAWLVqFZ06dSI3N5dLLrmEUaNGldnIBQ3tFpFkooaoBNydLVu2UL16dSpXrszatWt54oknuOaaa6hYUV+liIgE66effmLdunU0a9aMY489lszMTKZOncqZZ54ZdDQRkdCK6//izawLMBZIA5509wf3eP4g4BmgNfAtcIm7r49nptLYtGkTTz/9NE8++SR16tTh5Zdfpl69eqxbt06NkIhIORbmOlWSxU9XrlzJ+PHjefrpp6lWrRpr1qzhoIMOYtasWYmIKiJSrsXtGiIzSwPGAV2BpkA/M2u6x25XA9+7+3HAI8CoeOXZ06xluZzx4AIaDpnDGQ8uKHZBuezsbLp06ULt2rW5/fbbOfzwwxkwYMDu8ddqhkREyq8w16lYFz+dNWsWLVq0oFmzZjzxxBN069aNyZMnk56enoiYIiJJIZ7/oz8VWOPuawHMbCpwIbCyyD4XAsOi96cDj5mZ+YFe8bkfhYXmxx82s/PbL1izbjs3vDmHKUcV4N/nMm7cOGrVqsXq1av59NNPueWWW7j88stp1qxZPGOJiEhihbZOFS5+WrD9R37e8CG+M48tW79j4PxxjKmylYcffphTTjmFtLQ0atSowZgxY+jXrx+1atWKZywRkaQUz4aoDrChyOMvgNP2to+755vZFqAmsCmOuXYXmu2fvc+m2b+MjphmFTi2YQM+//xzatWqxS233MJtt92mGeNERJJTmdUpM7sOuA7gmGOOOeBghYuc5n+Xy8aZ9+/eXqFKNRq0PJEtW7YAcMEFF3DBBRcc8OeJiKSycjHmK16FpnLdZtTqcx9WqTJphxxOerUMPh2dtXs/DYkTEZFYuPsEYAJAZmbmAZ89Klz8NP2I+hx1+RgqpFemwiHVOeaoDN4Ycs4B5xURkV/Ecx2iXKBekcd1o9uK3cfMKgKHEblo9VfcfYK7Z7p7ZkZGxgEHK1xNO+3Qw6lybGsq121G+uG1qVOz2gG/t4iIlBtlVqfKWuHipxUqVeago44jvWZdDq16mBY/FRGJg3g2RO8Ajc2soZlVAvoC2Xvskw1cHr3fG1gQ73HZoFW2RUQECHGd0uKnIiKJE7cxYdGx1jcC84hMZzrR3T80s+HAUnfPBv4G/N3M1gDfESlGcVdYUGKdzlRERJJPmOsUaPFTEZFEsQQc6CpTmZmZvnTp0qBjiIikNDP7j7tnBp0jjFSnRESCV5I6Fc8hcyIiIiIiIqGmhkhERERERFKWGiIREREREUlZaohERERERCRlqSESD4yBNwAACURJREFUEREREZGUpYZIRERERERSlhoiERERERFJWWqIREREREQkZakhEhERERGRlKWGSEREREREUpa5e9AZSsTMNgKfleFbHgFsKsP3K0thzgbhzhfmbBDufGHOBuHOF+ZsULb56rt7Rhm9V1JRnQqVMOcLczYId74wZ4Nw5wtzNgioTpW7hqismdlSd88MOkdxwpwNwp0vzNkg3PnCnA3CnS/M2SD8+aR4Yf65hTkbhDtfmLNBuPOFORuEO1+Ys0Fw+TRkTkREREREUpYaIhERERERSVlqiGBC0AH2IczZINz5wpwNwp0vzNkg3PnCnA3Cn0+KF+afW5izQbjzhTkbhDtfmLNBuPOFORsElC/lryESEREREZHUpTNEIiIiIiKSslKiITKzLmb2sZmtMbMhxTx/kJn9M/r8v82sQcjynW1m75pZvpn1Dlm2P5nZSjP7wMxeMbP6Ics30MyWm9l7ZrbYzJqGJVuR/S4yMzezhM6qEsN3d4WZbYx+d++Z2TVhyRbd5+Lon70PzWxKorLFks/MHinyva02s80hy3eMmb1qZsuif3e7JTKfFC/MtSrMdSrGfIHVqjDXqVjyFdkv4bUqzHUqlnzRfQKpVapTJeTuSX0D0oBPgWOBSsD7QNM99vkD8P+i9/sC/wxZvgZAS+AZoHfIsnUADo7evyGE3121Ivd7AC+GJVt0v6rA68ASIDNk390VwGOJylTCbI2BZcDh0ce1wpRvj/3/CEwMUz4iY7RviN5vCqxP9M9Zt1L93AKpVWGuUyXIF0itCnOdijVfdL+E16ow16kS5AukVqlOlfyWCmeITgXWuPtad98BTAUu3GOfC4Gno/enA+eamYUln7uvd/cPgF0JylSSbK+6+0/Rh0uAuiHL90ORh4cAibpoLpY/dwD3A6OA7QnKVSjWfEGIJdu1wDh3/x7A3b8JWb6i+gHPJiRZRCz5HKgWvX8Y8GUC80nxwlyrwlynYs0XVK0Kc52KKV9UELUqzHUKwl2rVKdKKBUaojrAhiKPv4huK3Yfd88HtgA1E5IutnxBKWm2q4GcuCb6tZjymdkgM/sU+F/gprBkM7NTgHruPidBmYqK9Wd7UfRU9XQzq5eYaDFlOx443szeMLMlZtYlQdmgBH8vosNyGgILEpCrUCz5hgEDzOwLYC6Ro4MSrDDXqjDXKQh3rQpznYJw16ow1ykId61SnSqhVGiIJAHMbACQCYwOOsue3H2cuzcC7gTuCToPgJlVAB4Gbgs6yz68ADRw95bAS/xyZDoMKhIZitCeyJGtv5pZ9UATFa8vMN3dC4IOsod+wCR3rwt0A/4e/TMpktTCWqvCWKegXNSqMNcpKB+1SnWK1GiIcoGiRwzqRrcVu4+ZVSRyau7bhKSLLV9QYspmZh2Bu4Ee7v5zgrJByb+7qUBWXBP9Yn/ZqgLNgdfMbD3QFshO4MWq+/3u3P3bIj/PJ4HWYclG5GhStrvvdPd1wGoiRScs+Qr1JbHDECC2fFcDzwG4+1tAZeCIhKSTvQlzrQpznYJw16ow1ykId60Kc52CcNcq1amSiucFSmG4EenO1xI5HVh44VazPfYZxK8vVH0uTPmK7DuJxE6qEMt314rIhXGNQ/qzbVzk/gXA0rBk22P/10jspAqxfHdHF7nfE1gSomxdgKej948gcuq9ZljyRfdrAqwnut5byH62OcAV0fsnEhmbndCcupXq5xZIrQpznSrBdxdIrQpznSrpzza6f8JqVZjrVAnyBVKrVKdKkSmRX0BQNyKn2lZH/zG8O7ptOJGjRBDpOqcBa4C3gWNDlq8NkaMM24gcDfwwRNleBr4G3oveskP23Y0FPoxme3Vf/9AnOtse+yasyJTguxsZ/e7ej353TUKUzYgM41gJLAf6hum7iz4eBjyYyFwl+P6aAm9Ef7bvAecFkVO3Ev/cAqtVYa5TMeYLrFaFuU7Fkm+PfRNaq8Jcp2LMF1itUp0q2c2iHyoiIiIiIpJyUuEaIhERERERkWKpIRIRERERkZSlhkhERERERFKWGiIREREREUlZaohERERERCRlqSESEREREZGUpYZIUpaZVTezPxR5XNvMpsfps7LMbGj0/iQz6x2Pz9nLZ59vZsMT9XkiIlI2VKdEEkMNkaSy6sDuQuPuX7p7vArAHcDjcXpvAMwsbS9PzQEuMLOD4/n5IiJS5lSnRBJADZGksgeBRmb2npmNNrMGZrYCwMyuMLNZZvaSma03sxvN7E9mtszMlphZjeh+jczsRTP7j5ktMrMme36ImR0P/Ozum4psPtvM3jSztYVH4SxitJmtMLPlZnZJdHt7M/tXkfd7zMyuiN5fb2ajzOxdoI+Z3WRmK83sAzObCuCR1ZdfA84v+69QRETiSHVKJAEqBh1AJEBDgObufjKAmTXY4/nmQCugMrAGuNPdW5nZI8DvgTHABGCgu39iZqcRObp2zh7vcwbw7h7bjgbOBJoA2cB0oBdwMnAScATwjpm9HsPv41t3PyX6e/gSaOjuP5tZ9SL7LAXOAp6L4f1ERCQcVKdEEkANkcjeveruW4GtZrYFeCG6fTnQ0swOBU4HpplZ4WsOKuZ9jgY27rFtlrvvAlaa2ZHRbWcCz7p7AfC1mS0E2gA/7CfnP4vc/wCYbGazgFlFtn8D1N7P+4iISPmiOiVSBtQQiezdz0Xu7yryeBeRvzsVgM2FR+72IQ84bB/vbexbPr8e3lp5j+e3FbnfHTgbuAC428xauHt+9DV5+/kcEREpX1SnRMqAriGSVLYVqFraF7v7D8A6M+sDu8dWn1TMrquA42J4y0XAJWaWZmYZRArG28BnQFMzOyg6vODc4l5sZhWAeu7+KnAnkeJ2aPTp44EVsf/uREQkBFSnRBJADZGkLHf/FngjenHo6FK+zaXA1Wb2PvAhcGEx+7wOtLIi4xX24nkiQwneBxYAd7j7f919A5Ex1Suivy7by+vTgH+Y2fLoPn9x983R5zoQmcVHRETKCdUpkcSwyMQeIhJPZjYWeMHdXw7gs48Eprh7sUfsREREVKcklakhEkmA6D/2p7l7dgCf3QbY6e7vJfqzRUSkfFCdklSmhkhERERERFKWriESEREREZGUpYZIRERERERSlhoiERERERFJWWqIREREREQkZakhEhERERGRlPX/AY6acPSuSEM6AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# moment model aims to learn all parameters jointly and also tries to estimate the RNA bursting related parameters, $a, b, \\alpha_i, \\alpha_a$. See https://github.com/aristoteleo/dynamo-notebooks/blob/master/full_derivation.pdf. \n",
"\n",
"adata_dif_kin = dyn.tl.dynamics(adata_dif_kin, mode='moment', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_kin, vkey=adata_dif_kin.var_names, unit='hours')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/xqiu/.local/lib/python3.6/site-packages/dynamo/tools/velocity.py:909: UserWarning: beta & gamma estimation: only works when there're at least 2 time points.\n",
" warn(\"beta & gamma estimation: only works when there're at least 2 time points.\")\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# kinetics: the data for this mode is the same as the moment approach but it uses least sqaure fitting of the determinstic ODE solutions for fitting. \n",
"\n",
"adata_dif_kin = dyn.tl.dynamics(adata_dif_kin, experiment_type='kin', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_kin, vkey=adata_dif_kin.var_names, unit='hours')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From above, we can see that the $uu, ul$ fitting are pretty good. This is because the kinetics experiment is good for estimating parameters $\\beta, \\alpha$. `su` fitting looks good here but in general kinetics experiment only involves at most a few hours, the degradation of mRNA can be up to one or two days, so in pratice the fitting `su` of certain genes in real data may be less optimal. Finally the `sl` fitting is not great, this is because it is involves all parameters $\\alpha, \\beta, \\gamma$ to fit the data and any uncertainty from those parameters can affect the fitting. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/xqiu/.local/lib/python3.6/site-packages/scipy/sparse/_index.py:118: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n",
" self._set_arrayXarray_sparse(i, j, x)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# one_shot. One shot experiment is great for estimating $\\alpha$ at different time points, especially if we combined with a degradation experiment and assume constant $\\beta, \\gamma$ through the entire period. \n",
"\n",
"tmp = dyn.tl.dynamics(adata_dif_kin[adata_dif_kin.obs.time == 0.8, :], experiment_type='one_shot', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(tmp, vkey=adata_dif_kin.var_names, unit='hours')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# the following are similar analysis if we don't have splicing data\n",
"This is normally true because spliting U to uu, su and L to ul, sl may be difficult especially for some transcription which already have low expression. The discussion above will be generally applicable below but just avoid the consideration of splicing. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"adata_dif_kin_nosplicing, adata_dif_deg_begin_nosplicing, adata_dif_deg_end_nosplicing = adata_dif_nosplicing[adata_dif_nosplicing.obs.experiment_type == 'kin_t_5', :], \\\n",
" adata_dif_nosplicing[adata_dif_nosplicing.obs.experiment_type == 'deg_beign', :], \\\n",
" adata_dif_nosplicing[adata_dif_nosplicing.obs.experiment_type == 'deg_end', :]\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"View of AnnData object with n_obs × n_vars = 250 × 2 \n",
" obs: 'trajectory', 'time', 'experiment_type'\n",
" obsm: 'protein'\n",
" layers: 'new', 'total'"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adata_dif_deg_begin_nosplicing"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/xqiu/.local/lib/python3.6/site-packages/dynamo/tools/dynamics.py:159: UserWarning: protein layer exists but protein_names is not provided. No estimation will be performed for protein data.\n",
" 'protein layer exists but protein_names is not provided. No estimation will be performed for protein data.')\n",
"Trying to set attribute `.var` of view, making a copy.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Degradation\n",
"import dynamo as dyn\n",
"adata_dif_deg_begin_nosplicing = dyn.tl.dynamics(adata_dif_deg_begin_nosplicing, experiment_type='deg', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_deg_begin_nosplicing, vkey=adata_dif_deg_begin_nosplicing.var_names, unit='hours')\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Trying to set attribute `.uns` of view, making a copy.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# moment\n",
"adata_dif_kin_nosplicing = dyn.tl.dynamics(adata_dif_kin_nosplicing, mode='moment', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_kin_nosplicing, vkey=adata_dif_kin_nosplicing.var_names, unit='hours')\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# kinetics\n",
"adata_dif_kin_nosplicing = dyn.tl.dynamics(adata_dif_kin_nosplicing, experiment_type='kin', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(adata_dif_kin_nosplicing, vkey=adata_dif_kin_nosplicing.var_names, unit='hours')\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# one_shot\n",
"tmp = dyn.tl.dynamics(adata_dif_kin_nosplicing[adata_dif_kin_nosplicing.obs.time == 0.8, :], experiment_type='one_shot', filter_gene_mode='no', tkey='time')\n",
"dyn.pl.dynamics(tmp, vkey=adata_dif_kin_nosplicing.var_names, unit='hours')\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 4
}