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"# Ligand binding MSM: trypsin + benzamidine\n",
"\n",
"**You will learn:** how to take unbiased binding trajectories of a small drug-like ligand and a protein receptor and build a Markov-state model that gives you the bound macrostate, the binding pathways, the binding affinity (Kd), and on / off rates.\n",
"\n",
"**Prerequisites:**\n",
"- HTMD installed.\n",
"- `wget` available on `$PATH`.\n",
"- ~5 GB of disk for the trajectory download.\n",
"\n",
"## The system\n",
"\n",
"Trypsin is a serine protease; benzamidine is a small competitive inhibitor that docks into the S1 specificity pocket. The dataset contains short unbiased trajectories started from many random ligand poses around the protein - some find the binding pocket, most don't. Aggregate sampling is ≈ 17 µs across 852 trajectories.\n",
"\n",
"The point of this analysis is to reconstruct the binding free-energy surface and rates *without ever steering the ligand* - just by counting transitions between metastable states discovered by clustering the trajectories.\n",
"\n",
"## The flow\n",
"\n",
"Same MSM pipeline as the {doc}`villin folding tutorial ` - the only thing that changes is **the projection**: for a binding problem the slow coordinate is the protein-ligand distance pattern, not the protein's own contact map.\n",
"\n",
"1. Download + simlist.\n",
"2. Project with {py:class}`~moleculekit.projections.metricdistance.MetricDistance` between protein Cα atoms and ligand heavy atoms.\n",
"3. TICA to find the slow binding modes.\n",
"4. Cluster, build MSM, lump into macrostates.\n",
"5. Read out the FES, MFPTs, kon / koff, and Kd.\n",
"\n",
"## Setup"
]
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"text": [
"2026-06-02 18:40:37,204 - rdkit - INFO - Enabling RDKit 2026.03.2 jupyter extensions\n"
]
},
{
"name": "stdout",
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"text": [
"\n",
"Please cite HTMD: Doerr et al.(2016)JCTC,12,1845. https://dx.doi.org/10.1021/acs.jctc.6b00049\n",
"HTMD Documentation at: https://software.acellera.com/htmd/\n",
"\n",
"You are on the latest HTMD version (2.8.5.dev17+gf26491d44.d20260602).\n",
"\n"
]
}
],
"source": [
"import os\n",
"from glob import glob\n",
"from pathlib import Path\n",
"from htmd.ui import (\n",
" simlist, simmerge,\n",
" Metric, MetricDistance,\n",
" TICA, Model, Kinetics,\n",
")\n",
"from sklearn.cluster import MiniBatchKMeans"
]
},
{
"cell_type": "markdown",
"id": "0bdc8dbb",
"metadata": {},
"source": [
"## Step 1 - Build the simlist\n",
"\n",
"The trajectory bundle ships on Figshare ([HTMD tutorial data, DOI 10.6084/m9.figshare.32541291](https://doi.org/10.6084/m9.figshare.32541291)) as [ligand_binding_datasets.zip](https://ndownloader.figshare.com/files/65180823) (~3 GB).\n",
"\n",
"The dataset is split into several \"epochs\" (adaptive-sampling rounds). {py:func}`~htmd.simlist.simlist` builds one per-epoch list (duplicate folder basenames within a single call would raise), and {py:func}`~htmd.simlist.simmerge` stitches them into a combined list and renumbers the per-sim `simid` indices to be sequential across the merged whole:"
]
},
{
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"execution_count": 2,
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"outputs": [
{
"data": {
"text/plain": [
"852"
]
},
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],
"source": [
"DATASETS = Path(os.environ[\"HTMD_TUTORIAL_DATASETS\"]) / \"ligand_binding_datasets\"\n",
"topology = str(DATASETS / \"1\" / \"filtered\") # any epoch works - all share the same topology\n",
"sims = []\n",
"for epoch in sorted(DATASETS.glob(\"*/\")):\n",
" trajs = glob(os.path.join(epoch, \"filtered\", \"*\", \"\"))\n",
" sims = simmerge(sims, simlist(trajs, topology))\n",
"len(sims)"
]
},
{
"cell_type": "markdown",
"id": "869922ff",
"metadata": {},
"source": [
"## Step 2 - Project: protein-ligand contacts\n",
"\n",
"For binding, the relevant coordinate is \"which protein residue is the ligand currently in contact with\". {py:class}`~moleculekit.projections.metricdistance.MetricDistance` computes the distance matrix between two atom selections; with `metric=\"contacts\"` you get a binary contact map per frame between every protein Cα and every ligand heavy atom (1 if the distance is below the `threshold`, 0 otherwise - default `threshold=8` Å)."
]
},
{
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"execution_count": 3,
"id": "a9d1942d",
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"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.projections.metric - INFO - Frame step 0.001ns was read from the trajectories. If it looks wrong, redefine it by manually setting the MetricData.fstep property.\n"
]
}
],
"source": [
"metr = Metric(sims)\n",
"metr.set(MetricDistance(\n",
" \"protein and name CA\",\n",
" \"resname MOL and noh\",\n",
" periodic=\"selections\",\n",
" metric=\"contacts\",\n",
"))\n",
"data = metr.project()\n",
"data.fstep = 0.1"
]
},
{
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"id": "145da0b5",
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{
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.metricdata - INFO - Dropped 2 trajectories from 852 resulting in 850\n"
]
},
{
"data": {
"text/plain": [
"array([496, 562])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.plotTrajSizes()\n",
"data.dropTraj()"
]
},
{
"cell_type": "markdown",
"id": "c2f78575",
"metadata": {},
"source": [
"`periodic=\"selections\"` makes the distance calculation use **minimum-image** distances between the two atom selections, so a ligand that has wrapped through PBC gets compared to the *closest* protein image - the original coordinates aren't modified, only the distances are computed correctly across the box.\n",
"\n",
"## Step 3 - TICA"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "34751d35",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:41:31.415926Z",
"iopub.status.busy": "2026-06-02T15:41:31.415631Z",
"iopub.status.idle": "2026-06-02T15:42:58.668498Z",
"shell.execute_reply": "2026-06-02T15:42:58.647052Z"
}
},
"outputs": [],
"source": [
"tica = TICA(data, 2, units=\"ns\")\n",
"dataTica = tica.project(3)"
]
},
{
"cell_type": "markdown",
"id": "18ff675a",
"metadata": {},
"source": [
"## Step 4 - Cluster + MSM"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "9000e959",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:42:58.784916Z",
"iopub.status.busy": "2026-06-02T15:42:58.753044Z",
"iopub.status.idle": "2026-06-02T15:43:43.999034Z",
"shell.execute_reply": "2026-06-02T15:43:43.998592Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dataBoot = dataTica.bootstrap(0.8)\n",
"dataBoot.cluster(MiniBatchKMeans(n_clusters=1000))\n",
"\n",
"model = Model(dataBoot)\n",
"model.plotTimescales(maxlag=15, units=\"ns\")"
]
},
{
"cell_type": "markdown",
"id": "1e00bf77",
"metadata": {},
"source": [
"The slow timescale for binding is much shorter than folding (ligand diffusion happens on the ns-100ns scale, not µs). Read the lag off the ITS plot - usually around 5 ns for this system."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2f82cb6f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:44.021284Z",
"iopub.status.busy": "2026-06-02T15:43:44.021190Z",
"iopub.status.idle": "2026-06-02T15:43:47.260288Z",
"shell.execute_reply": "2026-06-02T15:43:47.259729Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.model - INFO - 100.0% of the data was used\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.model - INFO - Number of trajectories that visited each macrostate:\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.model - INFO - [153 105 376 127 220]\n"
]
}
],
"source": [
"model.markovModel(5, 5, units=\"ns\")"
]
},
{
"cell_type": "markdown",
"id": "270b93d4",
"metadata": {},
"source": [
"Five macrostates: bound + a few \"encountered but not docked\" intermediates + the bulk solution.\n",
"\n",
"## Step 5 - Free-energy surface"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "8c9751cf",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:47.262800Z",
"iopub.status.busy": "2026-06-02T15:43:47.262628Z",
"iopub.status.idle": "2026-06-02T15:43:48.273601Z",
"shell.execute_reply": "2026-06-02T15:43:48.273250Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plotFES(0, 1, temperature=298)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1591e77a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:48.275811Z",
"iopub.status.busy": "2026-06-02T15:43:48.275679Z",
"iopub.status.idle": "2026-06-02T15:43:49.225942Z",
"shell.execute_reply": "2026-06-02T15:43:49.225439Z"
}
},
"outputs": [
{
"data": {
"image/png": 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EBNbW1mKwpyAIgnBX+beE3dzcUKkezkiSrKwscnJyyqQuWZYLfbZptVq0Wu1dj8vJyWH58uVMmDCh2M/GwMBAli9fzuHDh2ncuDEhISFs2rSJQYMGlaqNgYGBrFu3jmHDhuHm5sbu3bu5dOkSX3/9danqKVPltoJROQgLC5MB8RAP8RAP8RCPEj/CwsIeymdSZmam7OpiUmbttLKyKrTt9gVJi/P777/LJiYmcnh4+F3LzZ07V9ZoNLJarZYB+dVXXy22LCCvWbOm0PasrCw5KChIBmS1Wi2bmprKS5cuvWcbH6ZnqkfI2toagLCwMGxsbMq5NYIgCMLjLCUlBU9PT8NnR1nLyckhKkZH6DEvbKwfrMcpJVVP5QbXC32+3as3CGDhwoV07doVNze3Ysvs3r2bmTNn8sMPP9CkSROuXLnCuHHj+OSTTwott3E33377LQcPHmTdunVUrlyZvXv3Mnr0aNzc3MotmfEzFQjld/nZ2NiIQEgQBEEokYc9lMLGWoWNtcm9C5akrlJ+voWGhrJ9+3b++uuvu5abMmUKgwYNYsSIEYCSPDk9PZ1Ro0bxwQcflOjWYWZmJpMmTWLNmjWGXIV16tQhODiYL774otwCITF9XhAEQRCeUYsXL8bFxeWeSZQzMjIKBTv5KXjkEi5HmJubS25ubpH16PX6UrS6bD1TPUKCIAiCICj0ej2LFy9m8ODBhdYHCwoKwt3dnVmzZgHQo0cPvvrqK+rXr2+4NTZlyhR69OhhCIjS0tK4cuWKoY5r164RHByMg4MDlSpVwsbGhtatW/POO+9gbm5O5cqV2bNnD7/88othCn55EIGQIAjCE0qn05Gbm1vezXjiaTSaQgmGnwXbt2/nxo0bDBs2rNC+GzduGPXcTJ48GUmSmDx5MuHh4Tg7O9OjRw9mzJhhKHP06FHatm1reD1hwgQABg8ezJIlSwAlXc/EiRMZOHAgCQkJVK5cmRkzZvDqq68+pKu8t2cqxUZKSgq2trYkJyeLMUKCIDzR0tLSuHnzZolvSwjFkyQJDw8PrKysjLY/7M+M/PoTL1V94DFCKak67H1CxOfbfRA9QoIgCE8YnU7HzZs3sbCwwNnZWayL9gBkWSY2NpabN29SvXr1Z7Jn6FknAiFBEIQnTG5uLrIs4+zsjLm5eXk354nn7OzM9evXyc3NFYHQM0jMGhMEQXhCiZ6gsiF+js82EQgJgiAID8zLywsXFxejwdu7du1CkiTGjx9fLm3KyMigf//+VKtWDR8fH/74449yaYfweBOBkCAIglAmKlWqxLp16wyvFy5cSMOGDcv0HLdnTL+XL774Aq1Wy5UrV9iyZQuvv/468fHxZdoe4cknAiFBEAShTAwdOpRFixYBkJyczMGDB+nSpYth/+nTp2nRogUBAQHUqlWL6dOnG/bl5OTwzjvv4OfnR926dQ3HLVmyhLZt29KnTx/8/f05fPgwW7ZsISAggDp16tC6dWvOnTtXZHt+//13w7TsKlWq0KZNG9asWfOwLl94QonB0oIgCM+IQ4duMnDgX8TEpDNmTGNmzmxfpvU3b96cH374gYiICNatW0ffvn2NBh97eXmxY8cOtFotmZmZBAYG0qFDB5o2bcqsWbO4dOkSx44dQ6vVEhsbe1u7D3HixAl8fX2JiYmhZs2a7N69G39/f1asWMGLL77I2bNnC431uXHjBpUrVzY6/40bN8r0moUnn+gREgRBeEYMGPAXV68mkpqaw6xZ+9ixI6TMzzFo0CCWLFnCokWLCi3Ul5mZyYgRI/D396dp06aEhoYSHBwMwIYNGxg3bpwhSaizs7PhuMDAQHx9fQElKPL398ff3x+AgQMHEhERQXh4eJlfi/BsEIGQIAjCMyImJt3odXR0ejEl719QUBDffPMNZmZmVK9e3WjfpEmTcHJy4sSJE5w8eZI2bdqQlZV1zzrvXOiwpCpVqkRoaKjh9fXr16lUqdJ91SU8vUQgJAiC8IwYM6aR4bm3tz1dulQr83O4ubkxa9YsPv3000L7EhMT8fDwQK1Wc/HiRbZt22bY17NnT+bOnUt2djaA0a2x2zVt2pTTp09z5swZQEnZ4O7ujru7e6Gyffv2Zd68eYCS92r37t306tXrQS9ReMqIMUKCIAjPiFmzOtC+fVWio9Po2rU6Dg4PZzHGoUOHFrl98uTJDBo0iKVLl+Lt7U27du0M+9577z0++OADAgIC0Gg0uLm5sWnTpkJ1ODs7s2LFCoKCgsjLy8Pe3p7Vq1cXuRbQO++8w7Bhw/D29sbExITvvvsOJyensrtQ4akgco0JgiA8YbKysrh27RpVqlTBzMysvJvzxCvu5ylyjT0bxK0xQRAEQRCeWSIQEgRBEAThmSUCIUEQBEEQnlkiEBIEQRAE4ZklAiFBEARBEJ5ZIhASBEEQBOGZJQIhQRAEQRCeWSIQEgRBEB6Yl5cXLi4u5ObmGrbt2rULSZIYP358ubRp0aJF+Pv7o1armTNnTrm0QXj8iUBIEARBKBOVKlVi3bp1htcLFy6kYcOGZXoOnU5X4rINGjRg1apVDBgwoEzbIDxdRCAkCILwDFl3EX4+DjFln2+VoUOHsmjRIgCSk5M5ePAgXbp0Mew/ffo0LVq0ICAggFq1ajF9+nTDvpycHN555x38/PyoW7eu4bglS5bQtm1b+vTpg7+/P4cPH2bLli0EBARQp04dWrduzblz54psT926dalZsyYqlfioE4onco0JgiA8I97cAnMOKc8/+ReOjQQni7Krv3nz5vzwww9ERESwbt06+vbti4lJQeoILy8vduzYgVarJTMzk8DAQDp06EDTpk2ZNWsWly5d4tixY2i1WqOkq4cOHeLEiRP4+voSExNDzZo12b17N/7+/qxYsYIXX3yRs2fPFplvTBDuRYTJgiAIz4ifTxQ8v5EMW6+W/TkGDRrEkiVLWLRoEcOGDTPal5mZyYgRI/D396dp06aEhoYSHBwMwIYNGxg3bhxarRZQkqvmCwwMxNfXF1CCIn9/f/z9/QEYOHAgERERhIeHl/3FCM8E0SMkCIJQCvHx8ZiZmWFpaVlsGVmWWbduHYmJieTl5ZGf29rExAQTExMCAwOpXr36o2qygZs1XIo3fl3WgoKCCAgIwMfHp9A1Tpo0CScnJ06cOIFaraZ3795kZWXds04rK6uyb6gg3CICIUEQhBI6c+YMzZrWwd3DhyNHjmBtXXQk0aVLF7Zu3VpsPZIEx44dp379+g+rqUVa2RsG/w3R6TCmEbTxKvtzuLm5MWvWLGrUqFFoX2JiIjVr1kStVnPx4kW2bdtGq1atAOjZsydz586lefPmhltjt/cK5WvatCmnT5/mzJkz+Pn5sXLlStzd3XF3dy/7ixGeCSIQEgRBKIHs7GxeeeUV0tJlLl68yFtvvcX8+fMLlVu+fLlRECSZSOSPXJEBWScjy9CpUyeio6Mf6UDe+hXh1KsP/zxDhw4tcvvkyZMZNGgQS5cuxdvbm3bt2hn2vffee3zwwQcEBASg0Whwc3Nj06ZNhepwdnZmxYoVBAUFkZeXh729PatXry5yfNCSJUuYPHkyiYmJrF27li+++IL169c/8gBUeLxJcn6f7TMgJSUFW1tbkpOTsbGxKe/mCILwBJk4cSKzZ8822rZ+/Xq6d+9ueJ2QkEDFihXJycnB2sWMMVu7FPqAvrQrgj/GKyOWBw4cyPLly0vdlqysLK5du0aVKlUwMzO7j6sRblfcz/Nhf2bk1594qSo21ib3PuBudaXqsPcJEZ9v90EMlhYEQbiHffv28dlnShC0+ueKjB9lB8CIESOMZje1b9+enJwcJAkG/NyyyF4Kn7ZuVG/jCsCKFSvYsWPHw78AQRCK9cQEQrNmzaJRo0ZYW1vj4uJCr169uHjxYnk3SxCEp8SxY8eYP39+oQX7UlNTCQoKQq+HoH7W9O5mxYyJjtTyMSU6OppmzZrRtGlT6tSpY5gB1fLVGjhWLhjgq79jDcDeXzRBa60B4IUXXiA7O/uhXpsgCMV7YgKhPXv2MHr0aA4ePMi2bdvIzc2lU6dOpKc/hFXBBEF4poSHh9OxQ2P+97//8emnnxrte+utt7h27RqVPdTM+UQZvGtmpuKX7ypgYgJXr17l0KFDnD59GgDHqta0eLUmALmZEr+PrsLsBnX46QVfEm+aAmCiUdHxXWX6d2pqKqtWrXpUlyoIwh2emMHSmzdvNnq9ZMkSXFxcOHbsmGHWgSAIQmnJsszw4cNJTNID8OGHH9C1a1fq16/Pxo0bWbBgAZIEi+ZWwNamYBzH9bA8NGrQ6cDe0xKtlQZzOw3Pz2pEZkoOIftjuBnsydV91oBEfIgZO75w48U515Flmd3fKKsha7VaevXqVQ5XLggCPEGB0J2Sk5MBcHBwKOeWCILwJPvpp5/YsmULZmYSVTw1nL+cw6BBg9iyZQvDhw8HYPwoO9oEKksw63QyH32RwIw5CQBUbuzMyz8EYqJRIetlTq4NZdc3Z8lMzAGOANsBX6AxmSnmAGyeHkxarLJ+zpIlS4qdhi8IwsP3RAZCer2e8ePH07x5c/z8/Iotl52dbXTvPSUl5VE0TxCEJ8SVK1d4a8LrAMya5Ej/F6yp2+4GZ8+epV69esTFxVHLx5Tp7zsSn6Djn53pLP4thd0HMgGwcm5A4s327P42lTo9L7Nx6jEiziQCIGltUenT0eWmoAREpzC3fZ6IM4mc+OM6oAyufvnll8vhygVByPdEBkKjR4/mzJkz7Nu3767lZs2axUcfffSIWiUIQnmaOnUq58+fZ/HixUarPh85coTXXnuNzMzMQsfExMSQkSnTtrk5Y4bboVJJzP/SheeDIomLi0OthqlvO9B3ZCSbd2agV+6eYaaVyKUnabHKejSHlppxZsPvpMcnAqZAG+TsJujM9JAbAvwL3OTy7nXcOKKMnLa0tGTDhg0P94fyCHl5eZGRkUF4eDgajTIQfNeuXbRr145x48YxZ86cR96mSZMm8ddff6HVatFoNMyYMYPOnTs/8nYIj7cnLhAaM2YMGzZsYO/evXh4eNy17MSJE5kwYYLhdUpKCp6eng+7iYIglIOPP/4YAJVKxcqVKwFlIPJLL73EtWvXij3OzlbFwq8roFIpU927d7Ri5Cs2LFieglsFNS+NijKUdfGxoVrriti5+bLpo9sX5TtMenwCajMNeVmvAfbK5iwTlNtiXsAyZP1NslKVXT///PNTtwZQpUqVWLduHX369AFg4cKFNGzYsEzPodPpjBK53k3Lli2ZMmUK5ubmnDx5klatWhEREXHX9CjCs+eJCYRkWWbs2LGsWbOG3bt3U6VKlXseo9VqDQn8BEF4Nvz+++8MGzaMTp068fbbb3Pt2jXs7VQsmlMBG+vCE2V9qpri5lrwVijLMonJSq/NjfA8VCrwaupC81E18KzvCEBimCmSiYysk4AkQFkLSEcnDEGQES0wCPgbUAZJF5WC4kk3dOhQFi1aRJ8+fUhOTubgwYP079+f1FQl+jt9+jSvvfYaGRkZZGVlMWDAACZPngxATk4OH3zwAf/88w8mJiZUrFiRzZs3s2TJEpYuXYqDgwOXLl1i/vz5pKSkMHHiRMPK0j/++CO1atUq1J6uXbsanvv7+yPLMrGxsSIQEow8MYHQ6NGj+fXXX/n777+xtrYmKkr5lmZra4u5uXk5t04QhPJmbW1t+MAdNmwYs2fPZv78+UgS/LGwomGw8738tiaVP9ano1ZDy9G18evuibWLOdlpKkKPmGPrloO9Zw59vrzO35M8yc3YCOQClZCzGtylZi1IPUBWAqHc3NwHu+D7EEcc61hLOuk0oQmNaVqm9Tdv3pwffviBiIgI1q1bR9++fY16b7y8vNixYwdarZbMzEwCAwPp0KEDTZs2ZdasWVy6dIljx44Zco3lO3ToECdOnMDX15eYmBhq1qzJ7t278ff3Z8WKFbz44oucPXu2yAUs8y1evJiqVatSuXLlMr1m4cn3xKwj9OOPP5KcnEybNm2oWLGi4fH777+Xd9MEQXiMqFTKukCDBg0CjGd83cvNiFzGTlI+gJuNrEmzYT5Yu5iTFqdmYT8fVoyoxk/P1+DiTht82qZg6RAMXAZMgB7c6y3VpmfB/jsXbnwUfudXrnONWGLYwHpucKPMzzFo0CCWLFnCokWLGDZsmNG+zMxMRowYgb+/P02bNiU0NNSwCOWGDRsYN26coRf/9oSrgYGB+Pr6AkpQ5O/vj7+/sg7TwIEDiYiIIDw8vNg27dixg48++ojff//9rsGS8Gx6YnqEnqGUaIIgPIAl31RgyBvR6PUYZnyV1MQZ8SQl63Hzs6f5CB/D9pNrHUgKVz6gdbkq9i+ogHfzRNLitt8q0QoonCn9TlrPgkAoJiamxO0qK4kk3vE6gUpUKtNzBAUFERAQgI+PD9WrVzfaN2nSJJycnDhx4gRqtZrevXuTlZV1zzqtrKzuWaY4e/bsYejQoaxfv94QTAnC7Z6YHiFBEISSaBJgxpfTnKhZ3ZTlP7hiZlbyt7mQUOV2VZMh1VGpC47TmOmNymnM9CRFZJCXlQWSCm2t5iWqP+1QwfM33njjkX/Bq03BciOWWFKFqmV+Djc3N2bNmlVohW6AxMREPDw8UKvVXLx4kW3bthn29ezZk7lz5xqWPLn91tjtmjZtyunTpzlz5gwAK1euxN3dHXd390Jl9+7dy6BBg/j777+pW7duWVye8BR6YnqEBEEQSuqNkfa8MbKoQct3p7n1jpiZpCLitDnO1bLQmMtUrJ2B1iqP7DQ1Wus8Or4bQUbCrTXKZHuyz5XsrTQ3uuC2TGhoKJ999hnvvfdeqdt5v57nBSrjRTrp+OGHDQ8nS/nQoUOL3D558mQGDRrE0qVL8fb2pl27doZ97733Hh988AEBAQFoNBrc3NzYtGlToTqcnZ1ZsWIFQUFBhsHSq1evLvKW1/Dhw8nOzjZqz7Jlywy31QQBQJKfoXtOKSkp2NrakpycjI3Nw3kDEAShfNjY2JCamsrFA5WpVsXUsP3MhWy+W5hEXT8tvbpYUbFC8UFLp3432fFvJir1C+jz6uJQOYuBP19hYT9fMhKVtXFUGj2vb7jAoV9iOLJiN1AJGFZEbTqUsUN3bvvE8EqthosXr1K1aul6ZrKysrh27RpVqlR56qbgl4fifp4P+zMjv/7ES1WxsS7ZkgDF1pWqw94nRHy+3Qdxa0wQhKfWkt9TaNI1jAXLUxjzfiwe9a4R2C2M3/9OLbK8Wq30KujzlO+HCaFm/D7a2xAEAehzVSRHari6P//ts6ip2GeB6cCeO7Ybv+Xm5UH//v3R6/UIglA+RCAkCMIT7+LFi2RkKMGN1lQJZjIz9fzv7WiysmTc/O1xrWUHwKHjWbzyehTJKYVnbeXm5neQF3SUx1wyR5IKXtt5ZOPik4Vel5+yp6hAaOetOnYBybdtL7h9U7G20p7Dhw/z33//lfhaBUEoWyIQEgThiZabm8ugQYPQ6aBDKws83JRbX+bmKjq2VqbN52bqyMsuCHx6dbUyyiQPkJGh58DRWzOYJDejfbIsUatLIq3HRBL0yxW0lnpUJvmrVd+5wr0M3J7XMOyO/Ur77D0LZkKlpaWV9HIFQShjYrC0IAhPtJkzZ3LkyJFbqTJcjAbNLviyAnXahhJ7RQlMnBxM+PRDJwb3K5ztffd/mWRlyZjZWJKV4mK0T6WWCRwRg0t1JVDKSMomITQeABOnqujibi+dhrLAYr4w4Pbk0Gogj6zUR7+goiAIhYkeIUEQnlhHjhzhk0+mAfDtTGc83JSxPHHxOtZvTaOCswmL5lSgYgUTRr5iw/l9lRnykk2RM4z+2ZEOgGstd26/haUx1/HinGuGIAjg+qHYW3fPXNDF3TkwNfGO1zeNX0rK98/stIJASCzyJwjlRwRCgiA81kJCQvj888+JjIw02p6Xl0dQUBA6HfTtaUX/F5ReHr1eptXzYfQaHMmn3ybSo5MVN4OrMu/zCjjYFz0zJzVNz6q/ldtTDpWMFxj0bp5KtZbGg6tPr8sPdrwN20wMnUgJt/61u/VvJLf3EKmsCgdCgiCUHxEICYLwWIuLi6Njx46G/IL54uPjuXDhAgDdOlgaelXS0vVcvKoEGVt2pZfoHFt2pxOXoMPOwxJJMl4NOSOp8AiCm8E5t54V3EKzqGM44ta/rrf+1QNKb5KkBZW50k5djpgpJgiPAxEICYLwWKtTpw6xsbHUqVPHaHuFChV48803AXjvkzji4pXB0DbWJsyd7kxtX1O+melSqL6i/HdECVRMNFWRTFRw2yyxaq1SCpWXVHa3niXd2gA5Efl789cwyh8kbQlYgRbcPlGhz1DOpdI8XW+/Xl5euLi4GCWT3bVrF5IkMX78+HJp0wcffIC/vz/16tWjXr16rFy5slza8bgKDw/nlVdewdHREXNzc/z9/Tl69Gix5YcMGYIkSYUetWvXNpT58ccfqVOnDjY2NtjY2NCsWTP++ecfo3rmz59PmzZtsLFRblMnJSU9rEsskafrL1EQhKeOmZkZHTt2NMpinm/GjBnUrFmT6Fgdr78fY0hZMWa4Had2V6ZOLW2JzrF2s3Jc/LXqHP3VmYYvx9F0SAw9Z4bSdHDhVA8e9fMX3VMGTCND9rn8vfmBUH5vlAdKpARqRxl9+q2gS/30vf1WqlSJdevWGV4vXLiQhg0bluk5SpOs9p133uH06dMEBwezceNGRo0aRVxc3L0PfAYkJibSvHlzNBoN//zzD+fOnePLL7/E3r74Fdnnzp1LZGSk4REWFoaDgwN9+/Y1lPHw8GD27NkcO3aMo0eP0q5dO55//nnOnj1rKJORkUGXLl2YNGnSQ73Gknr6/hIFQXhmmJubs2zZMtRq+HNDGr/+pYzlkWXZKI9XTFxesXm9MjP13AjLHwPkCUBanIZ2b0bi1y2pyGPq9Mgf3FzUh6rpHa9v5cCSIf14Jtxqh9q0nN5+Y0/AjS2Qm3HvsqU0dOhQFi1aBEBycjIHDx6kS5cuhv2nT5+mRYsWBAQEUKtWLaZPn27Yl5OTwzvvvIOfnx9169Y1HLdkyRLatm1Lnz598Pf35/Dhw2zZsoWAgADq1KlD69atOXfuHEWxs7MzPE9LS0OWZbF45S2ffvopnp6eLF68mMaNG1OlShU6deqEt7d3scfY2tri6upqeBw9epTExESjFCY9evTgueeeo3r16vj4+DBjxgysrKw4ePCgocz48eN5//33adq06UO9xpISgZAgCE+0Bg0a8OGHHwPwxgexZGbqeeejOKyrXmXHvxls2pGO1lTijw1Fr9Vz4kw2elmPcgvLDoCKtQoHCYk3TYk6b45eB45V89cAii+ixjsDoYJ1huK+VwInM2sLo8DskWU6Ov4ZrAqA9V3gz0DIKdv1i5o3b87169eJiIjgt99+o2/fvkY9eV5eXuzYsYPjx49z7Ngx/vzzT8MH5KxZs7h06RLHjh3j5MmTLFu2zHDcoUOHmDlzJqdPn8bb25sBAwawdOlSTp06xahRo3jxxReL/Rl+8803+Pr6EhAQwPz583FxKdnt0qfdunXraNiwIX379sXFxYX69euzYMGCUtWxcOFCOnToQOXKlYvcr9PpWLlyJenp6TRr1qwsmv1QiEBIEIQn3sSJE9FqtSQl61n0Wwpf/5REZpbMkDeicLBV8cuqVKp4aoo81spSeRvUqLOoEphA6zGRNB1ifDvs8Aonfuxeg0Uv+/D76KrcPJE/M6zwekTgeMfr2xdnVGabZafbEnk2CVBWwn5kSUCPzSx4Hn8SQjeU+SkGDRrEkiVLWLRoEcOGGedgy8zMZMSIEfj7+9O0aVNCQ0MJDg4GYMOGDYwbNw6tVrmd6ezsbDguMDAQX19fQAmK/P39DT+zgQMHEhERQXh4eJHteeONN7h48SIHDhxg5syZxMcXFbw+PVJSUowe2dnZRZYLCQnhxx9/pHr16mzZsoXXXnuNN954g6VLl5boPBEREfzzzz+MGDGi0L7Tp09jZWWFVqvl1VdfZc2aNdSqVeuBruthEgsqCoLwxFOr1Yaehzc+UIIYjUZDRFQu3yxM4tcfKxZ7rH9NUyp7qAm9mUeDl47gVtuTrZ+6o8uRaPRKLE5Vs9k9tyLIyu2wa/9ZkxR+AwDJvAFy5p012t7x+vakqEogJOsLZrN9+tnXuLm58UiYWkPObSk/NGWfnDMoKIiAgAB8fHyoXt14Bt6kSZNwcnLixIkTqNVqevfuTVZWVjE1FbCysrpnmXupW7cu7u7u7N69mz59+jxwfWVpemwttJlFB+olpSzHEIKnp6fR9qlTpzJt2rRC5fV6PQ0bNmTmTCU4rl+/PmfOnGHevHkMHjz4nudbunQpdnZ29OrVq9A+X19fgoODSU5O5o8//mDw4MHs2bPnsQ2GRI+QIAhPhdsXJaxduzY7duzAxAR+X5vGyrVFJ1nNP65HZyVf2KWdkawY5c2xlU4E/+XIiuHeZKWYoDK5/bZLOIk34jHRqHCf3gCpqFRjtL317523A/LXH1JmogUEBDB27NjSXOaDabcYtPaABLVGQuWuZX4KNzc3Zs2axaefflpoX2JiIh4eHqjVai5evMi2bdsM+3r27MncuXMNPRixsYUHqQM0bdqU06dPc+bMGQBWrlyJu7s77u7uhcrePnbo6tWrnDhx4rH9MC4rYWFhJCcnGx4TJ04sslzFihUL/Sxq1qzJjRs37nkOWZZZtGgRgwYNwtT0zlvBYGpqSrVq1WjQoAGzZs2ibt26zJ079/4u6BEQPUKCIDwV0tMLelmWLVtG/fr1mTx5Kh999BGj34+hZRNz3CsW/ZbXs7MV3y1M5tLuSLKSC97YMxI1xIVo6TL5JhuneqLLVWHvuZ/EMDBv4o+puxU2nfNI/uvOGluijA0qWJzRrh9kHk8i+4ry2sQE/vjjD1SqR/h91LMDDI8HfQ6YlGxG3f24ffDs7SZPnsygQYNYunQp3t7etGvXzrDvvffe44MPPiAgIACNRoObmxubNm0qVIezszMrVqwgKCiIvLw87O3tWb16dZGrc7/77rtcu3YNjUaDWq3mu+++o2bNmmV3oY+h/Gnr99K8eXMuXrxotO3SpUvFjve53Z49e7hy5QrDhw8vUZv0en2xt+geByIQEgThiRcSEmJ43rNnT+rXrw8o68hs3LiRo0ePMvzNaP75za3ID8xWTc2xs1WRlJyDlfNV0mKVWzpm1nk4VM7Gs34Glk557P7GgahzlwCw6dAIAF2MxO3Z6hUq7lx12u55FSlbC3o5xo9/iypVqpTB1ZeSJD2UIOj69etFbr/9tkz+7ZeimJqa8vnnn/P5558bbR8yZAhDhgwx2talSxej2WjF2bCh7MdAPS3efPNNAgMDmTlzJv369ePw4cPMnz+f+fPnG8pMnDiR8PBwfvnlF6NjFy5cSJMmTfDz87uzWiZOnEjXrl2pVKkSqamp/Prrr+zevZstW7YYykRFRREVFcWVK8q3gtOnT2NtbU2lSpVwcHB4SFdcPHFrTBCEJ5pOpzMa0/Df/o3ExMQAyjihZcuWYWYmsW1PBj/9klxkHRqNZMhUX7PTSfy6J1CjUxL954dg6aAjO13FmrcrE3kmHlmfB5IduixPQkfnkXbg3jO+dDEQNy8efVLBLK1Ro0Y9yGULwgNp1KgRa9as4bfffsPPz49PPvmEOXPmMHDgQEOZyMjIQrfKkpOT+fPPP4vtDYqJiSEoKAhfX1/at2/PkSNH2LJlCx07djSUmTdvHvXr12fkyJEAtGrVivr16xutQfUoiR4hQRCeaF9++SX79u3D1FRCayoRG6/jf//7H3/99ReSJFGjRg1mzfqKN998k3c/jqNjawu8vQqPa2jdzJzV69KIvRrNgJ/CjPalxarJSlEDt2YmyZ7ELZDRlWICUvqxaw9wlYJQ9rp370737t2L3b9kyZJC22xtbcnIKH4NqoULF97zvNOmTStyAHd5ET1CgiA8sU6dOsWUKe8D8MOnzuxe44FGA2vXrjXqzn/jjTdo06YN6RkyQ9+IRqcr3IvTsqk5AOHBCehyjRfds3PPwbl6JvmBkMrGvdBsMZUtd/1qKWmul/r6BEF4+EQgJAjCE0mn0xEUFEROjkyPzpYMecmGen5apr2trOMzdswww9oyKpWKxYsXY20lsf9IFqYeVzCpeBmTipcZO0m5jVbLxxQHexW5WTqizicZnctEAwMWXEFjptwmcHm9ErbdjN8+9clAXtFtlSxlJFWo0bZHOkhaEIRiib9EQRCeSAkJCZw8eRKAF56zMgyC7ve8sshhapqeEydOGMp7eXnx+uh3C9Uzb2kyWVl6JAnsbJS1iNITCs9wsbDVYaJR8lzl3LyBfR8VVi3v3U7JEiqMj0CXmIyJaeGB2oIglC8RCAmC8ERydnZm3LhxAHwwM474BB16vcyot6IBaNasWaGZRS1atADA1lpFPT8ttXxM+X62C2ZmKo6ezCYkNBdzM4nKjZwKnU9SSbQeq6y7krxqK7kxiVi3U931XdTEEdw+VJG8XsnoXaNDwcKJokdIEB4PYrC0IAhPrFmzZrFlyxYuXLjAmEkxNGtgxq79mViYS/zyyy+o1cZvcfm9RtWraji0uWCNH1mWDTPKqrR1R2tZ9Cq/Af2qcGF7BKGHY0n4dQuyri/cJYenLh7C30sHTivnbevN2U3hRm0RBKF8ia8kgiA8sfKzz5uYwKq/03jzQyWp6Zdf/UC1atUKlc8PPm7Pz3n+Ug7teoez+Ddltec6PSoVOi5fzEVzdHldAIn0g2fILmbtHGP/oQweqkDslaqF2vK08PLywsXFhdzcXMO2Xbt2IUkS48ePL7+GAefPn8fCwqLc2yE8nkQgJAjCE61hw4ZMmTLN8Lpz587873//K7Js/u0o/a1enJDQXBp2vsHeg0ovUod3/anavEKRx+ZmSfz2WlVuHvcGApSNul33aF0uSiAE0BpTs4II7Gm8NVapUiWjtWAWLlxIw4YNy/QcOp2uVOVzc3MZNWoUL7zwQpm2Q3h6PH1/iYIgPHMmTZpE+/btqVKlCgsXLiy2t+XO7Tv3ZZCVJeNY1Zqhf3Wi8cDCvUj50uI0ZCTk3zJTVq6WsxMwceIu76R6QPngdq9rRZ1eCcUVfCTSoqJYM2gQyzt35vyaNWVe/9ChQ1m0aBGgLLx38OBBo3Fap0+fpkWLFgQEBFCrVi2mT59u2JeTk8M777yDn58fdevWNRy3ZMkS2rZtS58+ffD39+fw4cNs2bKFgIAA6tSpQ+vWrY1yit3p448/pm/fvoUSwApCPjFGSBCEJ55Go2H79u2lPi4+4VaQ4mePrZvFXcvaVMjByTuTuKvmQA4A+gwtpBd/jFktLbK+MtkXrlGz8xHUpvfO4/QwrerTh7ADBwAI2bGDUceO4Vq3bpnV37x5c3744QciIiJYt24dffv2xcTExLDfy8uLHTt2oNVqyczMJDAwkA4dOtC0aVNmzZrFpUuXOHbsGFqt1ijp6qFDhzhx4gS+vr7ExMRQs2ZNdu/ejb+/PytWrODFF1/k7NmzhQLdQ4cO8d9//7Ft2zY++uijMrtO4ekieoQEQXhmxd0KhMztC680fScTDQz8+SqBw6PxaausPYRcfM4uyRJcxphg2agGAFf/jTbaL8v3Ts1R1qKCgwvOr9MRfepUmZ9j0KBBLFmyhEWLFjFs2DCjfZmZmYwYMQJ/f3+aNm1KaGgowbfatGHDBsaNG4dWq/xMnZ2dDccFBgbi6+sLKMGNv78//v7+AAwcOJCIiAjDmlH5MjIyeP3111mwYMFTNx5LKFuiR0gQhGdWfiBkYVeyJKSWDjravBHF6fWxXNoFkrm20ArT+bSeoHaQMPdTkq9GnE4wHqVdDqp26MDFW2N4NJaWeAYGlvk5goKCCAgIwMfHp9DtqEmTJuHk5MSJEydQq9X07t2brKyse9ZpZWVV6nZcvXqVGzdu0LZtWwCSkpLQ6/UkJiaydOnSUtcnPL1EICQIwjPjwoULAKjVkJMjs2ufEsVYOpYuG3tulhJAqbQ6dMUEQiprpRdC7WQLQHZaHmlxBQs16vV3mXf/kPT57TcOfPkl6dHR1Bs6FAdv7zI/h5ubG7NmzaJGjRqF9iUmJlKzZk3UajUXL15k27ZttGrVCoCePXsyd+5cmjdvbrg1dnuvUL6mTZty+vRpzpw5g5+fHytXrsTd3R13d3ejcv7+/ka316ZNm0ZSUhJz5swp2wsWnngiEBIE4Zlw9epVPpj0JgD9X7BmwfJkwiLysHDQUq2Va6nqqtRQWXBRl3QdiAccC5XJjZKJ/iGF3Ju/AWBT0dzoFlx5zBrTWFjQesqUh36eoUOHFrl98uTJDBo0iKVLl+Lt7U27du0M+9577z0++OADAgIC0Gg0uLm5sWnTpkJ1ODs7s2LFCoKCgsjLy8Pe3p7Vq1eL21/CfZPk8rhRXU5SUlKwtbUlOTkZGxub8m6OIAiPiE6no1WrVhw4cIA2geb8tbgivoGhxMbr6DK5HgF9q5SqvpjLZizsdxRZfxloCBSVwTsOWAEkYmat4cVvmuJSzYavWm4EICwsDA8Pj/u6nqysLK5du0aVKlUwMzO7rzqEAsX9PB/2Z0Z+/W/t747WquhFPEsqOy2XL5tvEJ9v90EMlhYE4an32WefceDAAWysVSyaU4Gvf0oiNl6HQ2Ur6vYq/Uyuk2sckPX542uCwfQcjkNVmHqBZAYQCvwMJAJ2DFrcmkoBTtwMjjfUIQIYQXg8iFtjgiA81U6dOsWkSZMASEnVM25yLJt2KHPe02Iz+eG5Lciy8o3a1FLNkGVt7jqVPvqCGcd+dwScAG/gKuSsIi/6Jh6znyN1/1Viv12Gspq0B661nse5egQAB5dcNtRzZ/oPQRDKh+gREgThqbZ7926j1+u3ppO/OHFOho7UmCzSYrPIzdSRHpfNihH/3nVq+5V9NujzVIAE9EelbgpA8qYDyDodKRu3AnlYuXgR0LcbL/+gTJsPP5XAjWNKj5BWK2Fubl7GVyoIwv0QX0kEQXiqjRw5EisrKzIzleldsixz5swZUlJSDOkaVCoVISEhHD58mKTwDHbPPUvb8X5F1ufolX3bKzWe9asReuQgKgtzEv+IITskHJVaYvjvtbB0iDGU3PN9werHkyd/bFgv50E8Q0M8Hyrxc3y2iUBIEISnmrm5eaGF/YrTpEkTDh8+zMEll6ndzROX6raFytTokEybNyI5v8UOO89sfNtdI/QI6DNtSVpzHACnqpWwdCgIdKIvJXP9oDKV29/fn/fff/+Brkmj0SBJkmGKuZgxdf9kWSY2NhZJktBoHmzAsvBkEoGQIAjCLVu2bMHV1ZXs7Gx+HbWfMZs7ozKRkFTKI1/g8BgChyu9PcdX3cqxIVsBykrNuZkBRvVu+ugEACoVrFq16oHHB5mYmODh4cHNmze5fv36A9UlKDnoPDw8jNKBCM8OEQgJgiDcYmdnx9KlS3n55ZfJSMjms8YFmdQrN3Zi4IKWAESdN2ffTxWQVDLmdpdulYhHSTxmiZlNFXIyQjG10BNzOZnIM4kAvPnmW0UuNHg/rKysqF69Orm5uWVS37NMo9GIIOgZJgIhQRCE27z00kusXLmStWvXGm0PPRzHkV+v4t+jOr+9WpXMJOXtU1K5AGdRpsoDOBJ51oZlQ6oxaMkVwk4oGedNTEz47LPPyrStJiYm4gNcEB6QmDUmCIJwhzVr1hAaGsqZM2c4deoU1apVA2D7F6eJPJNnCIIAZL3nHUfHAjLRF80JPVyQI0ulUpXLatKCINyd6BESBEEoQqVKlQzPd+/eTeXKldHpdGyesQNbt9okR+Sny3BHmUqfP/MoE+UWmRVmNjpSYhAE4TEmvp4IgiDcg7u7O1999RUAiWFpVGu1BhvXnFt7tbdujxVQmcQQODwaz4D0R9xSQRBKSwRCgiAIJfDGG29Qu3ZtAILXXGTUmos0HxVFwEtx+LY3zu3U+YPTtHkjSnkh1qgRhMeauDUmCIJQAvHx8YSEhABgV9ECUws9rUcrq0ZHX/DgwjYlfYa5nSlVmjqXWzsFQSgdEQgJgiCUwPDhww2rU3eZXA+AlGgNCaGmnFhdGfc65piYnqTzpBrYuVsWHCh6hAThsSYCIUEQhHtYuXIlf//9NwCOVa2p1NCJ7V9U5PCy28cGNUZl0ojzW6Jxfj3asFUv4iBBeKyJMUKCIAh3ER0dzeuvDjS8bjHSl4RQ7R1BkEKvk9j3kytn/7EzbJN1IhIShMeZCIQEQRDuYuPGjSQm6wGwdNJSo6M7snz33F7x1wvyjJ1cGwqAqalpccUFQShHIhASBEG4i6ioKMPzduP9MNGocKqSTcBLcYbtaq3O8Fyl1lOtRQoAh5dfIfay8vztt99+RC0WBKE0RCAkCIJwF+fPnwdAa63Br3vBKtJdJoUz4o8LWFfIIS9bSXNhaqmj/7wQ3PwzSYnKYMdXZwDw9fVl2rRpj7ztgiDcmwiEBEEQ7iIvLw8AjZkJkmR8Syw5IpHU6KuAsrhiTroJ5nZK79Cvo/Yh62TUajU7d+58pG0WBKHkxKwxQRCEu5BvTX+/IwYi5nIKa97ZDegAC2A4Fg422LrlsOe7cySEKqtKf/XVV7i5uT3KJguCUAqiR0gQBOEu5CLWAdLrZNZ/cIK87PyxQRnYuB5gwPwQUmOS2P/zRQAaNGjA2LFjH2FrBUEoLREICYIglNKx30OIvpgAaLGr0gUAnf4KTj7Z/DZqP8ig1WrZvn17+TZUEIR7eqICob1799KjRw/c3NyQJIm1a9eWd5MEQXjGJEdmsOfbcwCYO7Rn2CF/NBYa0mOSWTvtDKkxWQAsWrQIOzu7cmypIAgl8UQFQunp6dStW5fvv/++vJsiCMIzSJZltswIJicjD8d6nnT9uR6Wzhq8u1YF4MJflwBo164dAwYMKM+mCoJQQk/UYOmuXbvStWvX8m6GIAjPkPj4eOWJBAmhaVz5V0mf0ffXrjjXhLwcHSqTgu+UalM1GzduLI+mCoJwH56oHqHSys7OJiUlxeghCIJQUseOHWPXrh0AWDqaoVKrqFDLHoC1r6zjvy8P8Wvn3zi36rzhmLycPHHbXhCeIE91IDRr1ixsbW0ND09Pz3sfJAiCAGRlZREUFIReya6BlZMWew9L2rzpj0qtIup4FNvf3kHo7huYWmno/VMbrFzMARgyZIj44iUIT4inOhCaOHEiycnJhkdYWFh5N0kQhCfE5MmTOXfuHDbWytukYRZ9rhc1+oyn89zOeAR64NaoIkPXPkeNpvb0nxcIktIb3blz5/JrvCAIJfZUB0JarRYbGxujhyAIwr3s27ePr776EoC3XrMDIDw4gZyMPKIvmFOjlwWN32jA0P1BvPT3EBwrKMMtnb1taDq0OgAHDx5kwYIF5dJ+QRBK7qkOhARBEO7H2rVrDT1A77xuj6mpRFZqLgmhafg+n0etl/SGslYVJbC0MLxu/Xotw/OFCxc+sjYLgnB/nqhAKC0tjeDgYIKDgwG4du0awcHB3Lhxo3wbJgjCU+V///sf5mZKTo23P4ojJ0fG3M4U55oOOLdxNkq3Icsy5OYaXv854aDh+ezZsx9ZmwVBuD9PVCB09OhR6tevT/369QGYMGEC9evX58MPPyznlgmC8DSpXr06n33+DQALlicD4OZvj7qCI5LK+G3z9kSsF3dEcGWvMr1+0KBBtGnT5tE0WBCE+/ZErSPUpk2bIvP+CIIglLXXX3+dtWvXsmOHMn0elQrJxbHowmo12Rlp/D3xCAAuLi4sWbLk0TRUEIQH8kT1CAmCIDwqKpWKxYsXY3brFllyRIZR708+OTcXMjL4/bUD5GXrkSTYunUrKpV4exWEJ4H4SxUEQSiGjY0NkmQGgEarQs7NK1RGTkgi+I9r3AxOAGD8+DepW7fuI22nIAj3TwRCgiAIxRg6dCiZmZkAdJ1cFzktvVCZDNmMzTOCAfDy8uLLL798lE0UBOEBiUBIEAShCOvWrWPNmjUAeAQ44lrTHslMW6jcis4r0efJqFQqdu7cWeTtM0F43EybNg1JkoweNWrUuOsxSUlJjB49mooVK6LVavHx8WHTpk1Flp09ezaSJDF+/Hij7W3atCl03ldffbWsLuu+PFGDpQVBEB6F2NhYhg8fbnjd/k0/0JrCHYHQ/s/+I+ZULAAff/wxVapUeaTtFIQHUbt2bbZv3254rVYXHxLk5OTQsWNHXFxc+OOPP3B3dyc0NBQ7O7tCZY8cOcJPP/1EnTp1iqxr5MiRfPzxx4bXFhYWRZZ7VEQgJAiCcIcvv/ySuLg4ADzqOeBexwHJwa5Qb8+/H+8DwNfXlw8++OCRt1MQHoRarcbV1bVEZRctWkRCQgIHDhxAo9EAyq3gO6WlpTFw4EAWLFjA9OnTi6zLwsKixOd9FMStMUEQhDuEhoYanjcb6qM80ekLldPamAIQFxdHZGokKSQ/kvYJQnFSUlKMHtnZ2cWWvXz5Mm5ublStWpWBAwfedXHidevW0axZM0aPHk2FChXw8/Nj5syZ6HQ6o3KjR4+mW7dudOjQodi6VqxYgZOTE35+fkycOJGMjIzSX2gZEj1CgiAId7hy5QoAFg6mVGulfHOVU1ORXZQFFWVZRpIk/Af58d9nh4iPj6fHO914bl5XmhLIc3Qrz+YLT5g/L9ZDZWH2QHXoM7KADXh6ehptnzp1KtOmTStUvkmTJixZsgRfX18iIyP56KOPaNmyJWfOnMHa2rpQ+ZCQEHbu3MnAgQPZtGkTV65c4fXXXyc3N5epU6cCsHLlSo4fP86RI0eKbeeAAQOoXLkybm5unDp1ivfee4+LFy/y119/PdD1PwgRCAmCINwhKSkJABcfWySVcjtM5exkWFVakiRkWca7oR3/3Trm2E8n8H3BFzpDQxrhgks5tFx41oWFhRklGNdqCw/wB+jatavheZ06dWjSpAmVK1dm1apVRuPj8un1elxcXJg/fz4mJiY0aNCA8PBwPv/8c6ZOnUpYWBjjxo1j27ZtmJkVH9SNGjXK8Nzf35+KFSvSvn17rl69ire39/1c8gMTt8YEQRDukL+CvUp921uklfGATkmScG/qgdrMxLBt/fCNZCVnIVP4NpogPAo2NjZGj+ICoTvZ2dnh4+Nj6A29U8WKFfHx8cHEpOD3vWbNmkRFRZGTk8OxY8eIiYkhICAAtVqNWq1mz549fPPNN6jV6kK30PI1adIEoNjzPgoiEBIEQSiGYWy0mRapiBk1Jvpc7D0tDa9Tw1Mx3WdGBR6fgaCCUBJpaWlcvXqVihUrFrm/efPmXLlyBb2+IMi/dOkSFStWxNTUlPbt23P69GlDYvTg4GAaNmzIwIEDCQ4ONgqgbpefRL248z4KpQqETp48yfTp0/nhhx8MMyrypaSkMGzYsDJtnCAIQnkypDbU6Qy9RBlxGeRm5iLrdKRdiSX2coqhvE9NHya3n1IOLRWE0nn77bfZs2cP169f58CBA7zwwguYmJjQv39/AIKCgpg4caKh/GuvvUZCQgLjxo3j0qVLbNy4kZkzZzJ69GgArK2t8fPzM3pYWlri6OiIn58fAFevXuWTTz7h2LFjXL9+nXXr1hEUFESrVq2KnWr/KJQ4ENq6dSuNGzdm5cqVfPrpp9SoUYNdu3YZ9mdmZrJ06dKH0khBEIRHKX89layUXGVDbh5yShpnfz/HHPdv+aX1ctDpuLQ70nCMiQms+GXFXcdHCMLj4ubNm/Tv3x9fX1/69euHo6MjBw8exNnZGYAbN24QGVnw++3p6cmWLVs4cuQIderU4Y033mDcuHG8//77JT6nqakp27dvp1OnTtSoUYO33nqLPn36sH79+jK/vtIo8WDpadOm8fbbbzNjxgxkWebzzz+nZ8+erF69mi5dujzMNgqCIDxS7u7uXLx4kbgryeh1MiaOthxdep4t45TF5yKORKJPzeDc5jDDMZMnT6Vhw4bl1WRBKJWVK1fedf/u3bsLbWvWrBkHDx4s8TnurMPT05M9e/aU+PhHpcSB0NmzZ1m2bBmgDBJ899138fDw4MUXX2TlypU0atTooTVSEAThUXJzcwMgJ0NH2LlUboYksOfDvUZlIo/e5MbReABq1aolFlQUhCdUiQMhrVZrmFKab8CAAahUKl566SWRaFAQhKdGQkKC4fnlXZEcXngOgNYft2Lf9P3ocnSsH7MbUAZUr1q1yrDariAIT5YSjxGqV6+e0ZigfC+//DI///wzb7zxRpk2TBAEobzkT+W1dTfn8GIlCGr5YQtaTAxEl6NMA467ogySHj/+TWrXrl0+DRUE4YGVuEfotddeY+/evUXu69+/P7Iss2DBgjJrmCAIQnnJy8sDICUqC/Tg94ofrae1JDvFOF2Bm5sbn3/+eXk0URCEMlLiHqEXXniBr7/+utj9AwYMKLLHSBDK0muvvcaaNWvuWiY6OpqePXuSkpJy13KCUJzcXGW2mKyTcWxQmR4/P4ckSeSm5xrKSBJs3Lix2PVRBEF4MogFFYUnRtOmTZk3bx69e/fm6NGjxZbr1asXO7ZvoFevXo+uccJTJTlZSZ4qadQE/dMbtVbpPE8OK0iqOmzYcOrVq1cezRMEoQyJXGPCE+Gvv/7i0KFDhteBgYHk5OQUWbZPnz4kJibywgsvPKrmCU+Z/HQAJs52WDiaG7anhqcZnv/000+PvF2CIJQ90SMkPPby8vLo27ev0bbc3FxatmxZZPm3336bCxcuMHbs2EfRPOEpJkkS+mLSholbYoLwdBCBkPDYq1WrliG/jX2jVkhqZZryvn372LRpU3k2TXhKqW5lmZdzcosNhARBeDqIQEh4rH333XdcvnwZAJW5JRXb96Lq8HcN+7t164aJiQkmJiaYmZlx+vTpYuvKycnBxcVFTHUW7sncXLkdpktMQSXnlXNrBEF4mEo9Rkin07FkyRJ27NhBTEyMUSZagJ07d5ZZ44RnW3p6utHtrWqvKgkAtfaO2NVvTtKJ/QCG38Hs7GwaNGhQ7NihZcuWEeCXTnhsBXJzc8UCeEKx8vOFyXl6wg9FULlVJeW1Tr7bYYIgPIFKHQiNGzeOJUuW0K1bN/z8/JAk6WG0SxCoUqWK4blz2x6otRaG126d+6DLTCMjLAQkCV1GOuh15Obm0rp16yLz2QwePBi1Wo2tra0IgoQSS41INTwP3Rtaji0RBOFhKHUgtHLlSlatWsVzzz33MNojCABMmDCB2NhYADS2Djg3aYs6KZ7UiFD0ljaYuXrg2WswAPq8PHLiowlZOgf0Ovbu3cvmzZsLJQNWq9UMHjz4UV+K8IRLj0oHIP5yAsfnB5dvYwRBKHOlDoRMTU2pVq3aw2iLIABw48YNo8U7K9ZpQsa3H3IzPY3bR2uYOrggmZiQHR/NnSNau3fvTk5OjmHQqyDcr7TodPQ6PeuHbkCfI0ZOC8LTptSfEm+99RZz585FlsW9cuHh8PHxMXp9499/uH4rCLIDbG9tz0mIITs2EvR6VKpbMf2tGWU6nY46deo8qiYLT7H0qHSOzz9B2P6bmGjFlHlBeNqUukdo37597Nq1i3/++YfatWsXGmvx119/lVnjhGdPly5dyM4uyOdkIZngKOuoCtQEKgASsDPwbZIy4pBlPVbWFdFoLDj039dkZyWBpAJZz9mzZ1m8eDFDhw4tn4sRngqm1qZcXHMJADMbU9JjMzE1NS3nVgmCUFZKHQjZ2dmJFXuFh+Lo0aNs2bLF8LpF6w/xu7QB18jjRuWuV2mPiYUjjhaORtv9/Adw/PhPyLdWBQYYPnw4AwYMQKvVPtzGC0+V/FxjAA1HN+DXTr8BkB6bCcBHH31ULu0SBKHslToQWrx48cNohyDQtGlTw/Na/q+g0Zhz0sqVXYAFUEFSoXHwoUJ2MrYJISQ7VDU63sbWEx+f57l4vqBXUpZlqlWrRlhY2CO6CuFpkJampNKwcrPC1tOG5BsFCXz9/f15//33y6tpgiCUsfvONRYbG8vFixcB8PX1xdnZucwaJTx7GjdubMjvZGnpgqNjNUKCfyE07nxBIVkP8ReoAAyMOEqKZzOu+vRQ0oDf4ubeiNSUcCLCC/KS3bx5k48//pgPP/zwUV2O8ITT6ZXfRTM7LfGXEgzbNRoNO3bsKK9mCYLwEJR6sHR6ejrDhg2jYsWKtGrVilatWuHm5sbw4cPJyMh4GG0UnnJ5eXkcOXLE8LpR03FcPfy9IQhqALQCfAAtEA0sBqzC/sP9xv5C9VX37Y6tXRWjbVOnTiUxMfFhXYLwFJFlmZzc/EU5JY7PP2HY991334kvfYLwlCl1IDRhwgT27NnD+vXrSUpKIikpib///ps9e/bw1ltvPYw2Ck+52wdHu3s0w/rabiIylDWEgoAeQDtgAPAqYA8kAksA89t6fvKpVGqqVG2vPDe3NGz39vZ+OBcgPFXeeust8nKUhRrU5moij0cBSpLVUaNGlWfTBEF4CEodCP35558sXLiQrl27YmNjg42NDc899xwLFizgjz/+eBhtFJ5yt6dpccxKJiVkGwBVbz1uZw8MARyAJGB1Rhw+/81FnZtpVC4vLwsArb0Tpo4uACQmJjJmzJiHcAXC0+LUqVPMmVOwhlXUsSgiDkUAiFX0BeEpVepAKCMjgwoVKhTa7uLiIm6NCffl9kCoQtw58kcF1S2mvC1KMGSPEgxtSY+i8sX1RmVyc5XfRRNzSyVJ660Pse+//57QUJEmQShMr9fTqVMnZFnpCWr+QSB2VewwtVGmyou0LILwdCp1INSsWTOmTp1KVlaWYVtmZiYfffQRzZo1K9PGCc+ebCDm1vPqdylnA/QHTIHrwOmoE3iE/mvYn5urpEUwMbdEpVLh8ULBWkIi+7xQlJEjRxIdHQ1ArwWdaDe9DWNDXqf+8HoAYu0gQXhKlToQmjt3Lvv378fDw4P27dvTvn17PD09OXDgAHPnzn0YbRSecrd/0z5ciuNcgPwVrQ4Brpc3YZ6mfJDpb836yUtLBsDGxw8zNyWDeHp6OkFBQQ/YauFp8+uvvwJQqaETPvUs0CcmI6elo9ErX/pSUlK4evVqeTZREISHoNSBkJ+fH5cvX2bWrFnUq1ePevXqMXv2bC5fviy+aQv3xcLCwhAMZaHMDAPYUuwRBWoC1reeJwIND32Lc1QwFSrUAZWK9OuXSAtRbrZVGTROWXUaWLZsGefPny+yTuHZlL98Q40ObqDTIYdFoA+5QaM+Hqg0ErIs065dO5FeSBCeMveVkdLCwoKRI0fy5Zdf8uWXXzJixAjMzc3Lum3CM+T2oCR/DtlJIKQEx9rf+jcRUMk6ap75ndbBS/CzrAhA1Pa/kXV5SJKE2/MFPUGNGjUqi6YLTxlJZTwo2txWS9cp9QAlIfCECRPKoVWCIDwsJQqE1q1bZ1hyft26dXd9CML98Pb2ZtCgQYbXKpTklhuA3GKOyWd369+kW/9KgEVmAt1TwzFTachJiCH+6F6lbI06aByUWWTp6em89NJLZXQFwlMjf3bYbbPE6j7vhWeAktJl7tw5BAcHl0PDBEF4GCS5BP28KpWKqKgoXFxcUKmKj50kSTJ0Lz+OUlJSsLW1JTk5GRsbm/JujlAES0tLw+xDNZAHtATa3+WYXcAeIADoece+g6ZWbM5JA5WKKkHjMXf1ICc5gSs/Ti+yrsmTJ/PJJ5886GUITyBTU1Nyc3Pp/EE9Gr7ZDJWjPbJOj/5GOKSmkZuZx9dtNpGXpcPNzY3w8PDybrLwkD3sz4z8+r0WTUZlYfZAdekzsrg+bLr4fLsPJeoR0uv1uLi4GJ4X93icgyDhyXDz5k3Dc0mjLIb4L3C30Txxt/41KWJfFbsq2DtUA72etKtKLaa2DtjWaVJkXdOnTyckpCQ35ISnjeE7oVaDylG54SqZqFB5KrdYNeZq2o6rBUBERES5tFEQhLJ337nGbpeUlISdnV1ZVCU84+zt7Q3PdXodvhYuXMyIYRXQBbgzfEkAzt163uC27TKQaO/Npdp9Mb+0kUSuIOsLAnXHRq1IPlV4VWqABg0aiHQczzDJ5I7vh7f1gleoafdoGyMIgsE333xT4rJvvPFGicuWOhD69NNP8fLyMoyt6Nu3L3/++ScVK1Zk06ZN1K1b3DJ4glA6el0WVlo36mfEcAL4B6X3pwsFvT8HUIKeaoDrbcfKkooLfi+hN9EYVgRW52TR/M9FWCQnEurXgKhK3mTcUKZDS2o1cp6SViEpKYmBAweyYsWKR3GZwmNGys5BTs9AsrQAQI6Ou8cRgiA8Cl9//fW9C6EM03mogdC8efMMHxDbtm1j+/btbN68mVWrVvHOO++wdevW0lYpCMU6lnSNgSZmOOqy2A4cQVlAsS5QBchPh9nijuNUsp7KV7cjSTI3M5MAqHjpDO7JSiZx+53hJL84nPDng1BpzVCpNSQc+5eobWsAZU2ZV199lZYtWxrVu2PHDnJzc+nSpctDuV6h/EmSjD7kBliYg04HWdn3PkgQhIfu2rVrD6XeUgdCUVFReHp6ArBhwwb69etHp06d8PLyokmTosddCEJpSJKyZotKa4Y+O4s/1aZ09XuJF879wYbcdGKB7beV9wAqF1GPe4SyPKPDrdeaLOMUMLYJcURXK1j7yqFBS2RZJnr7WgDatWtHdna2YYLAmjVr6N27NwBLly4VizI+RVJSUgrGOEoSyDKkF04ZFH819RG3TBCEe8kf33e/+QBLvY6Qvb09YWFhAGzevJkOHToYGiIGSwtlSWNli6QxJSs7hXALB9Q1nudNlGz0twc+7VCmzBcnP2WH3tXTsC1PY0pk1RqFyjo2bIWZm1J7Xl4enTp1AiAnJ4d+/foZyg0bNkzk1nuKdO7cWXkzlcC7hWuRZfKydez48gwAzs7Oj7J5giAU4ZdffsHf3x9zc3PMzc2pU6cOy5YtK3U9pe4R6t27NwMGDKB69erEx8fTtWtXAE6cOEG1atVK3QBBKJZKhXkFDzJuhpCSHEacWwO8L9nSIDuZBkAoSgBU6S5V5AFht54ndujF4cgwLJMTuOlbh1SnwsmDAay8fMiKUBKz7tixg/Xr1zNp0iTybo0hAmUV4oCAAC5cuFAGFyqUp3nz5nHw4EEAmg6pjrVz0dOYV487SE6G8juwdu3aR9U8QRCK8NVXXzFlyhTGjBlD8+bNAdi3bx+vvvoqcXFxvPnmmyWuq9SB0Ndff42XlxdhYWF89tlnWFlZARAZGcnrr79e2uoE4a7M3SqRcTOEqMjjVHCtR47WCrNsJX9YUbfD7hSBEgxZAB5pKVyv0/iu5XVZmSSeOGC0rVevXuj1egBMq7ojaUzIvniDixcv8uWXX/LWW2+V/sKEx0J0dDRjx44FwM7Dgnbj/Yosd25LGNf+U/oWR4wYQWBg4CNroyAIhX377bf8+OOPRkMUevbsSe3atZk2bVqpAqFS3xrTaDS8/fbbzJ07l/r16xu2v/nmm4wYMaK01QlCsWRZxta/EZJaQ1JiCJcurOWiT09ybq0vVBKht/6tDPjtMx7IXyHkArX2b8X5xhXDttj9W9FlpqPxcMHxRWUZx/wgCJVExY9H4vrhcFAr89befvttnJyccHJyomLFiuzcudPoHDqdjqZNmxrdVhMeH+3btycvLw9JBQN+boHk7IDK1xuVd2XQKtnms9NyWT/5OACurq789NNP5dlkQRBQOl+K+kISGBhIZGRkqeq6r3WELl++zK5du4iJiSn4kLjlww8/vJ8qBaGQnIRYzJwr4tFzEGF/LSYy4ii7km8QWXcQgSE7cEq4fM868scHmQFO4deo8d92LjTrQOUzR2myQck2LiOx78VhRFarTfLZYwBUzdMR/ccO48r0MrnXIjGr7onr+4OJmr4IgPj4eEORzp07k5aWhlarpI5t2rQpR48e5dChQ2RnZxu2C+Vv+vTpnD17FoA2b9TGrpozkqsL8ZcSuHngJklX4mnQyYEjv15Fl6NHkpSZsndbXV8QhEejWrVqrFq1ikmTJhlt//3336levXqp6ip1ILRgwQJee+01nJyccHV1NRqlLUmSCISEB9asWTMOHDgAeh03/lxEpT7DcH9+EFFb/yQjPYaTJxfRMjenRHW5A6dRptmnAC33bMLeywePCycNZSRkPC6eIrJabezrNiXuv+1cjFKCG+tbJdItLNFnpJF14Tpm1T2x8KuK/csdSNl6BJDRZ+cgp2eRl5dHgwYNOHPmDL/99htHjx41nCcvL08EQo+Jq1evMnXqVABcfGxoNtSH4D+vseuzv8iMzzSUu7HdGSdv5bfA1tYOP7+ib50JgvBoffTRR7z00kvs3bvXMEZo//797Nixg1WrVpWqrlIHQtOnT2fGjBm89957pT1UEEpk3759aLVacnNzSbt8hvTwa9jWrIerrT03V84jOiebv4Egir+3W7ESuLpD3n8QhZLJ/uqth8vOdXhW8DAqbxd1E0mvx7llF+TLZ4iPi8IGGAaYWViyqHEbYnZvIOtymOEY+15tsO/VxvD65gc/knM1nLNnz/Lll1+Kv5HHlCzLtGvXDr1ej0ojMWB+C9JSdGz58BC6bB1qMzVujSoSeSyS0MOx5GbpDMcJgvB46NOnD4cOHeLrr782TF6oWbMmhw8fNhq2UxKl7uNNTEykb9++pT1MEEpMkiSlR+iW0BXfI8syLf9ZRb+cbDQoiyr+d9sxesn4VznyBtSoC0PfkOjraMlYoCHKL3xMWAhnzMzJNrMwlLePjcTz3HEklQrXl/5HWytbhgO2SJxt0Rlzdy8Asi+HFfpAzAmPIXbBWvLSMgzz+N9++22xnMRjaty4cdy4cQOArlPqYVnFheOb49Bl63Bv4sbbiW9R77uh2A1RUvhGnEooz+YKglCMBg0asHz5co4dO8axY8dYvnx5qYMguI8eob59+7J161ZeffXVUp9MEEqqYcOGvPjii/zxxx+g1xOy5GsskxPQAF2BdcAOlNQaFQArSz1qDaTcliLsyAkrqnZwY9zkUI5ug6qHwDxeSeIatm8LJ0211EEZPwRgmq3cEpGtbYn730SOR94gy8KaVKcKmOfmgIkKXWIqaf8GY+pZAX1mNsmbDpBxtPiUsGpXR/Ki4ovdLzxaFy5c4LvvvgXAs4EjdZ/3IkNlwbEflTXKm73TFI2ZCRpTsG4VQObpENL+DQZEj5AgPI5iYmKKHK9cp06dEtdR6kCoWrVqTJkyhYMHD+Lv749GozHaX5r8Hvfj+++/5/PPPycqKoq6devy7bff0rjx3adEC0+m1atXY2VlRXp6OtnRN9lbuRrtQ69QH7gAXAJ2AX2AjDSo3wxO3NZNVNM7jYCKl4iJhL1bQK+D5ijjhZKBTTnZbAX8AT8rG8Jq1DMcq9OYElupYF0slcYUS89qpF+/ROwPfxo3VJKwrlYbm1oBZISFkBh8AG79Udr1aEncgrVl/rMR7s/y5cuRZZBU8PL3gaQl5vBr/1VkJmTi4OOAby8fANLSla49p2E9SDt8DrJzjNaREgShfB07dozBgwdz/vz5Ql9SJEkqVY98qQOh+fPnY2VlxZ49e9izZ0+hkz/MQOj3339nwoQJzJs3jyZNmjBnzhw6d+7MxYsXcXFxeWjnFcrP+fPnqVRJWTLx39CrmHd7mQo3r9Pm5EEuoQREs4HqWrCtAA1awdkrtgQ2SCbg1szKmHAlCAKl92cUSjB0QmNBUm6G8jwtBYu1v+DRewhq86Kn57t3H0Dklj/IjLyhpGFAQmNti2unPpi7KmOObGvWw7XD84QsmUN2TDgJa3YZjr/zG4vw6CXkKbe51FoT9i+8xKm/b5AWk4m1uzUvr++LpFJx4ZIJV64qb40qcy1qOyvyohPE/58gPEaGDRuGj48PCxcupEKFCvedXgNAkp+g/t4mTZrQqFEjvvvuO0D5YPH09GTs2LG8//779zw+JSUFW1tbkpOTsbGxedjNFcrI+PHjmTt3LgCm9s5U+99EKp8+QtL+bZxLjSP5tsD/tdYWtKkXQL/q+wzbEuNg3izIuZU7U62BWvUgqX5L9oeZsvFEDFExZ0GvxymwIy6tupa6jdkJMSQc/RenJu3Q2NqTl5lOyMLPyUtLMZRJSUnB2tr6vn4GwoM7zSlGvjmSQ3MOG223q2LHwG39cfC2JyMD1qw35/akLTcn/UBOSASmpqZkZ4sErM+Sh/2ZkV+/16LJqCyKXtG8pPQZWVwfNv2Z+XyztrYus4wW970gRk5ODhcvXnxk3cU5OTkcO3bMkNsMQKVS0aFDB/7777+7HCk86ebMmYODg5I6NScxlqhd67ng4kbUC0P4dVp1zk+Gj7spZX/ck4FF1j70t4X39k4weBw0bAmtusA7s+GFwTC0zr/83G0HX3mH8vytAzJvrSNUWhEbV5J4fD83Vi9AlmXU5pZU7PqSUZk7exRSU1NZsWJFkfWtX7+e0NDQIvcJBW7cuEFCQskGM5/gOCkRBUlTK7auhsu4l+i+9VUcvO0BsLCAGr7G72kqC3NA9OgJwuOkffv2nDx58t4FS6DUt8YyMjIYO3YsS5cuBeDSpUtUrVqVsWPH4u7uXqKemfsRFxeHTqejQgXj/FAVKlQoNt9Tdna20Te4lJSUIssJj7+rV69ib698WCUc2kXCIeWWUzfg29crMbBDFtdSkln8bzZDlsPN6aC99dstSeBWSXnc6fpluLQ/hRrAeiA9OYGcuGjqXQjGNi6KCO9ahPo3umvbcpISyAy/DkB2XBTpoZex8vLB2rsmVtX9SLusJOo8d+4czZo1A5QPVRcXF7Kysvjxxx/Zt6+gB+u1115j3rx5qFQqoqKiRILPYmzatIlu3bqh1WoJDQ0t9N5wJxtsyIhJB0BSSTT8ZiBnz2vQqbKBgm5FVxcdFy4WjH3UJac9lPYLgnD/fv75ZwYPHsyZM2fw8/MrNF65Z8+eJa6r1D1CEydO5OTJk+zevRszs4KuvA4dOvD777+XtrqHatasWdja2hoenp6e9z5IeCzZ2dnx8ccfF7lv7LybdI96j95dqmGlhfh0CE1QAqB73TbOupVA3pyC3GU2W/7Ab98WPC+cpMnG33C/eOqudZhotZjYKjn3JK0pasuCbmmn5p0Mzzt06GAY1NeqVSuysrIAZRGw5cuXA3Dy5EnmzZsHKMFS3bp1734Bz6iMjAzDMh7Z2dm0b9/+nse4nnQjdLcybV7rYMH5i0qknJBg/DaYkFjwOvNyGLlh0QBUrFixTNouCMKD+++//9i/fz8fffQRffv2pVevXobHCy+8UKq6Sh0IrV27lu+++44WLVoYDU6qXbs2V69eLW11Jebk5ISJiQnR0dFG26Ojo3F1dS3ymIkTJ5KcnGx4hIWFFVlOeDJMmTKF+Ph4goODOXr0KN27d1d26PVcWzoHb/NE3GyVTVEl7PyrWgOcKip/BvmLssdGhxuVcQkPuWsdJuaWVOk/DueWXenhU5eBS76i2w8f4xh+HbV5wVpFGRkZdO/endWrV7N//36jOoYMGUJGRgYtWrQw2h4ZGVmq5IHPiq5du5KRkWF4ffbsWWbMmFFseVmW6diio+G10+RR6PXK+9flq2qOB2sIj1Bx+qya02c1hmOiPlloOCY/Q70gCOVv7NixvPLKK0RGRqLX640epV3DrdSBUGxsbJEztNLT0x9o1Pa9mJqa0qBBA3bsKMj/pNfr2bFjh+F2w520Wi02NjZGD+HJ5uDgQN26dWnQoAHr16/H0lKZ4ZUVFca5sxG43vovjk6FkkwDMNXCyLf1NHrJhbcGKX8O4bnZ3D4kdkTtkziqUouuIL8eO0f8XT0IOH2EbF0em1KSyF61wGiwNCi3c15++WXlhUrCeXQfQEnOamdnR1qachvGtkdLJDMlHcecOXO4ePHivS/mGbFo0SL27t0LQIOXq+Lio/ynf/jhh8V+GXv++ecLfrbdW2Dq6njbXonzFzXs/teMU2dMkWXlfSxy1lLkHGW80NSpU3Fzc3tIVyQIQmnFx8fz5ptv3vOWeEmUOhBq2LAhGzduNLzOD35+/vnnYgOSsjJhwgQWLFjA0qVLOX/+PK+99hrp6ekMHTr0oZ5XeHydP1+wmGHfReB0qwMmPFm6522xfKZaeK5lDB0b6/F2Ar0sIwVoqB0AvYKgTYNkBlr9e+96MpXxJ4eBs8Dh7EyuL/umoMCt9uQPunV+/UWsW9ZH66sMXsrNzQXAxMEGx4GdqThtuOHQmjVrYm1tTYUKFXB1daVixYpGD1dXV1QqFba2toZtQUFBJfsBPCY++eSTIm9/BgcH06FDB1q2bEmrVq0Mi7nauJrT6f06DJjfApVaQq/X06hRI1q3bk3Lli1p3rw59evXp1KlSqxfvx4AE3trHF/pcs+2pAdfIuvUFQAqV67MtGnTyu5CBeExM3v2bCRJYvz48cWWWbJkCZIkGT1uHx4DSs/2nWW6dDH+e7t06RLPP/88Tk5O2NjY0KJFC3bt2kVp9e7d+76OK0qpB0vPnDmTrl27cu7cOfLy8pg7dy7nzp3jwIEDhdYVKmsvvfQSsbGxfPjhh0RFRVGvXj02b95cJhGh8GTy9PSkZ8+erFu3DlmGs8mWQDrLDskMbQJ2FveswkCSwMcFrsaBukIuL3Yr2Cdz76gqslotUu2duZkYW+R+s7rVyApWPly11TywbqGM/6k4dQTXX5lmWITR/dMxAGQeL+gFkmWZtLQ0Q69GcVJSUgyTApYtW8bChQsLDSJ8HGVkZKBSqZAkibS0NKysrAz7RowYwbFjxrP5JBUMWKDcnrew19J1cj02TjtBYmKiobeoEAncPxtbovbE/bxOOUSSymxmiiA8jo4cOcJPP/1UopWYbWxsjHqni7oL1KVLFxYvXmx4fWei6e7du1O9enV27tyJubk5c+bMoXv37ly9erXYYS5F8fHxYeLEiezbt++BF3cudSDUokULgoODmT17Nv7+/mzdupWAgAD+++8//P39S1tdqY0ZM4YxY8Y89PMIT4acnBw2bdpkeJ1UoyuWsX9z4mYuHb+DrWPAvoTB0N4r8M85JSB6rnbB9qu5FVie1vKex+eaWbB98HikrX/CuePKRhMV6JQAJyv4CiauDqitLXGdWtDbo1KpcH1/MDHfrcKud1vU1haG9B0AKksb9OlKcCOZa5FMjf/g9akZhiDqTjqd7okIhCwsLKhbty6yLBsFQQAjR440BEKSBM7VlWzxDpUKytV9wYu4a2lc2RuJpJKQZZnEG+no82TQqFFZmOEY1BW1tfEvg6WFHjMzmcQklWHMEIB8q3euQoUK2NraPqzLFoRylZaWxsCBA1mwYAHTp0+/Z3lJku4ZrGi12mLLxMXFcfnyZRYuXGgIvGbPns0PP/zAmTNnShUI/fzzz2W2uHOpAyEAb29vFixYcD+HCkKZatq0qdFaVlpbB+q88hLHVyzn6A1o/w1sGwOOVnepBMjVweu3Jj2ODIQmXpCh1/Ba3AhO5lTBXMqhgelVovLsaGNxFkspm7XpjYjR2xnXY2aOutvLuFRwR2Nlg5V3LUzMzEk8cYDIbX+hi0pAytMT9aHy96Oy0OI0shcWdbzxmj/RUE/KtsPo0zIxdXDGe8R7XFvyNVkx4VQY9xIW9XwM5fKSUrnx6qeA8sf/BK2PWohh8Psd/ve//7F48WIOHToEwPOzGuFcrfB4v/YT/Gg/wY/0+Gx+e3Uf+jwZtYs97p/8zzCr73ZVvPJo2igHlQriE1Rs26lFp3t44xwF4VG4c5kYrVZbqFcm3+jRo+nWrRsdOnQoUSCUlpZG5cqV0ev1BAQEMHPmTGrXrm1UZvfu3bi4uGBvb0+7du2YPn06jo7KmDxHR0d8fX355ZdfCAgIQKvV8tNPP+Hi4kKDBg1KdZ3Xrl0rVfm7ua9ACMom0ZkgPIhFixZx4oSSLBONGnLzAJlwhwAaviLz3/LfOXEzj/bfKsGQ810Wdf50G5yNBDtLFZ06+rIvS8/C1HYczamOh0k8y1y+xcUkBZ0sYSIpwUY/y//oHf02KbJxL4NkosapSVujbfb1A9HYO3Fz/RLy4pLIi0sy7Iv5dhVuH41EMjEBQJ+dQ/JGZV0hp2YdkFQq8jKUwdp3fqDffP97w/Pdu3fTrVs3o9tnD3MCw6O0detWKlSoQFZWFr+O2sfY7V2QkDiy4ioqjYq6z1dCY64mNSaTX0ftI/5aGiZ2Vri+P7jIIAigrn8uqlujJB0d9FSupCPkWv5b4tPxcxOeDNrTFphoH2xlaV228st85zIxU6dOLXKM28qVKzl+/DhHjhwpUf2+vr4sWrSIOnXqkJyczBdffEFgYCBnz57Fw0NJMdSlSxd69+5NlSpVuHr1KpMmTaJr1678999/mJiYIEkS27dvp1evXlhbW6NSqXBxcWHz5s2GdeLupWXLljz//PM8//zzVK9e/d4HlECpA6GyTHQmCPdLlmVGjRpVsCFX6RVKvXIeq6o1CbNvQK8hqWz5ZR0nw6HxF/BDP+hau3BdCw/Ah7fG/7/Q1YcPs0ZCVsH+/lb7cDFRvmXlB0EAFdVJ+JveYH92jRK12crLh2rDJ5EZoaxlI+vyiNiykuwrN0nesB+751sBkLhqB7rkdDS2DtjWCkCWZfIylODGxKYgD1r879vQJynbe/fuTatWrdi/f3+J1x46duwYEydOZPz48Tz33HPFlvv666/Zt28fc+fONbzhPWzPP/88Bw4cYNeuXfj5+WFjY8Mvv/xCv379SI/PZuvMkzhVs2X7F6cB2PfTBVq+VoPDv1whMSwdE0db3CYPRVPRqdhz3Hk3UV/EW9eT3MMmPJvCwsKMZkgX1RsUFhbGuHHj2LZtW6EBz8Vp1qyZ0YSowMBAatasyU8//cQnn3wCUDAjFvD396dOnTp4e3uze/du2rdvjyzLjB49GhcXF/7991/Mzc35+eef6dGjB0eOHCnRWl0jR47k77//5qOPPsLDw4OePXvSs2dPAgMD7/uLX6lnjeUnOjtw4AAhISFcu3bN8AgJuft6K4JQVhISEooMuhOP7yM7TllrKtS2Pn+PNaeqE1yPh+d+hO4/wj9n4UgoXIyGIctgxK/KVPvRreC7lpdxUhl3LWfLRY+xyZVVhOkcjbY5qVJ4zXoLI623YyVlFjpGbWGFdbVaWFerhY1vHVyaK3nN0o8VrI6efuQcAM4tuyi9RLKMdKvrQpdWsHZO5vFLhudTpkwBlB7Zko4JOnPmDIOeP3XPVB5ZWVn0aref48ePl6jeB/XVV1+xbt064uLi6NChg6HXuUePHoY39Rsn4jnxR0HXeEZCNltmnCQxLB21sx1uU0fcNQgCOHLMlFtDgQiPUBEaZmLYp7JQzhMdHc2NGzfK8vIE4aG6c8mYogKhY8eOERMTQ0BAAGq1GrVazZ49e/jmm29Qq9Ul6tDQaDTUr1+fK1euFFumatWqODk5Gcrs3LmTDRs2sHLlSpo3b05AQAA//PAD5ubmhmwV9xIUFMSff/5JXFwcX375JUlJSfTt2xdXV1eGDRvG2rVrycws/N57N6UOhEJCQvjss89o0qQJXl5eVK5c2eghCI+Co6MjH3/8MY0bN6Zx48b4+BSMmwn5ZQ76vDxi9bZMU43n0Lsq3moHahVsPKsERI0/hxqfwNJDoJLgk+7wzYtgYaLDSx1jdK6lqa05k6P0hMTorDmV48m5HHfeTXiFG3kF6S/MpWyWuXzLGNstjLfdxELneUjcPT+VicWtFalNbvtTvNULoXVQ6pZUKqyqKL1O6QfPGopVeKu/4XmLFi2QZZkhQ4YYpuHfS//+/QlLfoOXXnrpruW6d+9OmmpqqZasv183btzg3XffNbyOjo5m5MiRhnbkp8zp8LY/sZeVgLXSD+9i26254RinYT3QuNy7mz0yyoQ//zbnz7Xm7P7XzLB+EIDTiOcNz1u3bv1gFyUIj5n27dtz+vRpgoODDY+GDRsycOBAgoODMTExuWcdOp2O06dP37UX5+bNm8THxxvK5C+CqlIZhx4qlarUufy0Wi3PPfccP/30ExEREaxbt46KFSsyZcoUHB0d6d69e6GFa4tT6ltj+YnOyiLjqyA8iClTphh6QgBcXFyIjY1FzskmfMMKPHsNVgIVrSVf9E5lZHOYtkkZC5SYAUmZ4GYL0/ta07dmwYKJ0+xXMzD2DZL1ym2oZNmSl2LexE6VToreAn0x3x+81dFUUscbXvuZhuFikkK0zq7Ya5BvDfS+cybYnWxq1iP18hnSD57Bvl97JElC4+KAbY+WJK//l/T0dAIDA0u1+rGpqSmTJk26Zzl/f/9HMiMUoF27duh0OlQmEu517Ak7kcCiRYtwcnIyLKYa0NcLXbbypqlxc0btYIPjoK6Y166KLi0D83o+2NjocbDTE5egIi1NBciAhKzXk7bvJBo3Zyx83GncIIcKLnriE1UcPGxKbq4SDFnUroqJsx262CSuX7/O5MmTSzSYVBCeBNbW1vj5+Rlts7S0xNHR0bA9KCgId3d3Zs2aBcDHH39M06ZNqVatGklJSXz++eeEhoYyYsQIQBlI/dFHH9GnTx9cXV25evUq7777LtWqVaNz586AcnvN3t6ewYMH8+GHH2Jubs6CBQu4du0a3bp140E0adKEJk2aMGPGDK5evcq6deuIjIws0bGlDoTKMtGZIJSlU6dOGb55pF44SfLls9hWr82UxJf4wuEXfCvk8Ntta29uyqjHX+lN+CzHi9Z5M3FRK8FQFU0svSyOsDStzW21SyTp7z71LFJnT4beFAtVDgDxOisSdZZ3PUafp/Te3CsQsvKuhaRRkxsZR86NKLSVlet0HNiZtP3B6BJSSxQEZWZmcuDAgRLl5iqt8PBwLC0tsbOzK/ExFy5cICQkBL1ez19//WVYGbr5/3xxqmpD9KXj5KTn8dlnnwFg7WJG5w/qsfNrJZGttX9l3CrqlPxgAb4AVHTV0bpFNiYmkJcH6RlgbQVR0SrWTviP+JU7QIK6rzelUo9WqM3UWFrqyMrM5chxU0Pb7Hu3Je6nNYCSt3DQoEH4+vqWxY9KEB57N27cMOq5SUxMZOTIkURFRWFvb0+DBg04cOAAtWrVAsDExIRTp06xdOlSkpKScHNzo1OnTnzyySeG23NOTk5s3ryZDz74gHbt2pGbm0vt2rX5+++/yzSvore3d6lSE5U6EMpPdPbPP/8U2icGSwvlydXVlZkzZxp6OcL/WoRJv1HsrVKLwIgZzLZfTldLZXG80zmeTEoYQO6tP4FovR0uFPQK5ciln1AZr7dmTPwwxtlsQoXMzKQXyOHuAY58KxDi1t+NPisbfVZOoXImWjMsK1Un7ep5Mo5dMARCAO6fjuXGqJlKpwdg0bQ2GbduoV29etXwRqXX63FyciIjI4Phw4fz888/l/oai7N161a6dOmMhYXlPRd9zDdv3jxee+21Qtvd/O05+VcoKVGZtBlXi91zlTFTkgQD5rcgMSydC9siAGgx0I26rbLJzoatO8xISVVR3TuP/J59tRpsb40b1STFkLB6p/JChpPfHyT6wDX6rX0R20q2WFgYd81bNfMj6Ze/yctU8hd16NCBGzduPDUz8QThdrt3777r66+//pqvv/662OPNzc3ZsmXLPc/TsGHDEpUrir29fYn//hISEkpcb6nf7fMTnU2ZMkWs6Cw8diZOnMjChQuVngVZ5sbvP+HasTcODVrwTuIgNmQ2xEzKYXdWbUMQBDAr6QW+d1yIvUk6h7Kq8Vd64/tuQzVNNJaqbKbZr2Zw7BhSZfNiy5q7KlNdM05cIuPUFZI37EOfmoHK2gKtU8HiYjmJcaTfVHpL1I7GC/yprS1wGNyNhCUbMa3sivNrfQi9FQgFBgaSlJQEQIcOHQz36Itdffk+ZGVl8dxzzyHLSs7BkoiMjGTs2DtWeZbA3NaUl74P5OtWyjQ+SZJo0L8qJ1Zfo/WYWsiyzJIBe8hOzcW6oiU+3bwB0GqherU8jp0wJTv7zrMpLq69hKyT8e5clQavB7Bh+EaiTkSztOUyXr/4KrJsalReZabFxN2NvCs3AWW8w9ixY/nuu+9K8dMRBKGszJkz56HUW+pAqCwTnQnCw3Dy5ElsbGwMg++itv1F2rWLODZpyy6PWkV+oziZ40XbyKlYqzJJ0BsvOCTLMpkRoSSfPU7KxZOYaEyp2bYFat/GZGIc5LxpuxFLlfJJ7GsayYuW/7E4rV2xbbXwrIpd3aYknTxI1OxfQK9H0mqo/MJIVKZKd7Ks1xO+8Tfk7BzManph1bJeoXrsujTDrkvB1FbrTk1I3XqI5ORkXn75Zfr372+Ul6e4BdbuR48ePUrdE9yuXTvy8vKQVBKvbeqIXUXjW4ivbeyEhb0pKhMVGjMTOr+vdJtv+PAY2am5aKu603llX8wdCn7+OfkdaVJBwt3UNLCyBJUKQrYps8x8elbHt6cPFY5WYEngUpJvpHD+r4tUe6Hw2gr6dGUdhQo1bIm+kMwP33/PkCFDaNiwYamuVxCEBzd48OCHUm+pZ42VZaIzQXgYLC0tjXLdAKRdOUvoiu+4tvRrYvdvJeHYPpLPHiMrOtxQJhe1URCUk5xA7P6tXJ0/i+vLviHx+D506ankJMVzcs3fWP41Ba9k4xxYd+YkK25g9e0qtOuJxtZBWdjGRIXn80MwdyuYgRl/aBeZN68hmWtxfq2PYSr93TgP64Hq1ppDv//+O3369LnnMffjt99+Y/v27aU6Ztq0aVy4oCwX0G5C7UJBEIC9hyVaSw0as4LZK5kpOZzbovx/OQ7uxsVoB5KTlZ93dIyK8xc1VHTVUa2qDklSbqVpTZUgKDcjl5v7lZ4dz1ZeANhWsqX+qPoAnFhwgozMwgFy/nIFXSbXQ2NugoyyaJwYAiAIj4+srCxDnsXb8y2WVKl7hMoy0ZkglJVvvvmGP/74gy1btmBubk5QUBDfffedYdVU0+qe5F6PJCvqJllRN42OdWjYEq92nahpFkOkzo7rERlE7VxHRuhlQxlJq8GyUS1ebgiVLp9k5lbYe0mPyZUVOATG4dikLSqNKV8ld+dbx0VYq7I4m+PBn+lN7tl2E60ZHi8MJmbXBuzrB2JVtSYAuWkpxB/aRcIRJY+O0+DnSjQtPJ/77DGEva6k3zB8cEsYxhLdLjs7m06dOtG1a1fef/99o33Lly9n3rx5mJqaGhKj5veq5ef40ZibkJtZdHCwZ88eZs6caUiFkj/2oEINW5oMKvnKsGfWh5GXpcO0UgW0Pp6kp0ts2GyOSiUb8oSZmhpfnOmtu11h+2+iy9Fh5WbNye1VcY/IoVJANnWH1uXfj/cRuvsGCZcSAHfDsbIsG3qEbFzMeeGzxqwa+x/x8fG88sor/PbbbyVuuyAIZSs9PZ333nuPVatWER8fX2h/ab6s3NessbJKdCYIZWX37t20qH+GGTNmGKY5HzhwAEtLS3Jycsi5EobHl+PJOHaB3MhY9GlZ6FLSyLoQSsLRf/FPO8jcIbl8vkti13aQdTJIEua1q2DVqj6WjWuhMtNSK2MXb1aDVxrB+D9h3WmI3beFxBMH6NPSEVt1Cj1inbiQbIGZXwssqxU/Puh25q6euD8/iMzw60Tv3kBGWAiZEaEF93iAvIxiBr8UQ+NgjV2/DiStUnpsTL3cyI2KQ87KKbRIYP369Tl//jx79+6lffv2NGrUCLi16OKgQXc9jyRBz5kN+fNNJRfYxo0bDVNhY2Nj6dixY6G1jUw0KgbMb16oruLIskzwX9cBsO7Q2Oj2pl4vYWujx91Nh0ajJzcX8r+f5Re7tE5ZfLJqRy/avpqCLIOpuQzY4N2lKlc2XeXaqmNoW7mRna0cpItPNiw/bWZrSrVWrljYm5KRmMPq1atFICQI5ejdd99l165d/PjjjwwaNIjvv/+e8PBwfvrpJ2bPnl2qukodCJVlojNBKCutWrVizx6ZL74omB+vVqvZsGEDnTp1AhkiZyym8vfvGB2XfvQ8Cd/8xp4LubhNhpw8JfCwaFgTx6DCPTArzBrTPfsU1Z1iGdtJw54ka9LS88hLSOH3zfmzzpTZCtK1a1QNeguto8s9259wfD9RO9YYMtUXJXHZJqxb1iuUQf1uHHq3IfdmNLkRcVScPoqERRtI3XmUlJQUhgwZwpIlS5gzZw7nz583HNOxY0fi4+ORJIk2bdoYtmvMTbCuYG4UnEkqiSaDq+PTtiLmtqZkJufQr18/YmNjsbCwMEyRBbD3tESlllCpVbR/szbmtiUfpxR9IZnYKymYmKqwam6cz9DOVk/nDlmoi3k3y83I5dQyZbq9X//aaMyMe40ajW3IlU1XObEgGHf/DkgWys83da+Sx84zwBGNmQkJYWlkJisDke5cg0UQhEdr/fr1/PLLL7Rp04ahQ4fSsmVLqlWrRuXKlVmxYgUDBw4scV33nXRVEB4n48ePZ/z48YW2d+zYkeeee45Nmzahi08m/retOPbvZNhv2bAmvd5twuqv/iMhAyrawPj+zsxrM6DIQdWJKkt62o3GSxfP5i+/BRJwHNKdoTn/cep4PI6W4OUIq69aceVqGuF/L8Mr6A1U6uKn0SedOkzU1j8BZYFAM99KaH0qkbh6J7qE5IKCMoS/9x2Vf3i3mJqKVuGNgpWjnUf1Iv3wWfRpmSxdupTBgwczYcIEo/LJyckMGTIErVZr1OWcm6mj9+eNcfExnrWW76UfAln6ym4yMjLo2rUrnTp14swZJQBp80YtAoff/xo8ZzYoPVhmAbUwsTTuZfNw1xUbBAEc/fE42cnZ2Fe1o2rHKoX2e3euiou/MzGnY0naegT7Xq2R9XpSdynjv+r19kKWZX4duQ9Zr6QWKO24KEEQylZCQgJVq1YFlLQi+dPlW7RoUeSyHHdTokBowoQJfPLJJ1haWhZ607zTV199VaoGCMLDtmHDBqytrUlPTyf5773YdGiMxtnOsH9f7Y78PDGUqDMRdG5owQTXF++6VkWOpOZcWkGvTE5oJI6DGrIlsGBtjGu6ToRM3kxWTDgxu9bj2rE3INPP8j+qaaLYm1mTfdk1SbkQTMQ/vwNg0zUQx6CuSJJEwuodhiCoQ4cOmJubs379enQJKcQv34zjK13u++fhPms0YWO/AJTZW/nsX+5I4sptgDIu6HYad2dyw2M5sOgSvWY3KrJeNz97GrxclaO/hbB3717+/fdfAJyr2dwzCMpOz2XZ0H+R9TJBS1qhtSoIHPV5es5uVgZJt36jJvFOOmLjCgZRp6UV/391fdd1dr6vTO5o+nYTJFXhspIk0fTtpqwbvJ70rQewfS6QrAuh5MUmobXWUKOjO9s/P01KpJK/aN68eTg53T2PmSAID1fVqlW5du0alSpVokaNGqxatYrGjRuzfv36Ui3qCiUMhE6cOGHo3j5x4kSx5cRCY8LjSJIk9u7dS4MGDQAIn/g9Xj9/YNifKZnydrXXcPDOYI5kRp5U8CGbG59E+MQf0VZ1p+L7QYbtWRcKEpXmRsSxwOIFElSW1MyLZJ9pNQ6b+uLymiVRny0j4dg+1Fa2dHEJJTX+DBuTQWYfiQluRF5TFga0btfAEATlpWWQ9Kfy4Z2/SJkkSdjY2JCWlkbyhn3YPNec9MNnSFy1A6fhPbG+7XaRLjuHm29/g9rBBvePRhX6eWic7bB9oTXJawrG+JkH+GLXsyXJWw+iT0g1Km/i5oTL2H6Ev/8957fcpPXomth7Kqtsp8ZkYmGvxUSjzGTr+F4dLu2OJCUyE1mWUaklBixoYagrLDiejVOP0+r1mtTqXJDJfvvnp4m5mGx43u2jAMO+kMPxpMdlYe5oTr0+VckjmzXrzNHplPeb6zfUVHDRUbWKjvwJdSkpkJeYwh8vrkGfp6d2/9r49m1I9GUTKlTPK/Qz8etfi10Td5EakYY2PITYncr7nN9zniSFp3P0V2UNp5YtWzJs2LBCxwuC8GgNHTqUkydP0rp1a/7f3n3HN1W1ARz/3SRNm266aAu0bMqQvUEEZaooylJAhuBAhooLXPi6cOAEByACKoIiUwWRPZQhoyxZZdMBLd0rTZP7/nHpLaEtFARK6fP9fPJ5c+899+Qkr6RPznjO2LFj6d69O5MnT8Zms11xh0yxAqELl8vL0nlRGjVu3FifE+NIz+Ls1wsIevLB/AKKQqJScBl39NgvcaRlkhV5iKRF6yjXQ9uA05GRv7uxPVNbWTTfrbHTve6Na+HdrTWpy/7m7Lrf+a5A7VoQ5NH6NgKG3a//kMg+cFwvcffdd+tp7h944AG+//57ADL+iiRxttYDFT/5Z9wb1tCHjGLGfYk9Phl7fDLxUxcR+HiPAq/s37cT6Rt3YY9PRnEzE/zCAC3Yat+E5AVrncqW69oK18ohWG6rRtaeIxxcFUPLwTXZt+wUi8dto1HPynR7rdH5j1ELfKbctxLVoXL3xHZ4tYhAzbaScySauU/+hS3LzuJx26jY0B/v8hYOr41l18L8wHLXohNEdAqlWttgEk+k8/vr2wCo168uRrMRI2B2Uck6HwhZLA4qVcwPghLOKSScMxA1Yz9ZiVl4hQdjD32EPz8y4xNiwy8sBZeLpicZXYwENwomLSYKf8M5ziRo/99Ubl2eyAXHUVVtSOyPP/4o8FkKIW68C7fQ6NixIwcOHGD79u1Ur16d+vXrX+LOgmSOkCgzZsyYweLFi0lKSiJ97Q68u7TArUqFIsvHT1mEIy1TP06auwLPOxrjUs4Lrzsak3P6LNZDJwl4rEeRdZTr1QHPNvWJe/87agYb6BSaTmU/LbfNQnMD9vtUxbNtQ6fcQJ5N6xDv7oaamc38+fPZu3cvrq6uehCkuJlJXnRBZmgVTr/0BeGTnyf5943YYhL0S2mrt+HdpYXTlhx5Kn36LKm//4VX5xZ6EObb/XbSN+4i92wSAC6VyuN1p9aTZqlXlaw9R4j9N5nUuEz+eGcXqLBv6Wk6vVQfk1nrSfOr5MljC+8iy+ZC5Z7nAySLG/OeW6QvsVft2pybR2a24/f/ab0vPve0AVUlZenfLP3fTvpMasXPozeTEZ+Nf90g7njjdkDLGZSVnd/7HBTo4ML8kP5+KgH+dvYe0YbTKne+jU6vpOHmpWK8xDee8XzOIh9PO4G1/UmOSuTQ34m4oE1g9/DwwN29+BPVhRA3Tnh4OOHh4ZcvWIhiBUIPPvjg5Qudt2DBgqtqiBA3wo4dO6hSRZswGzv+GyrPer3QIV3r8VjS1mg9ER4eHvrWEdFjv6DylLEoJiMBgy6/W7LRw4KxekXCp47DgI2mGcupaT/LapdanHZvi1cR94W+8yTRz34KaDs2G435w3VutauQtfMgAH5+fiQmJmJPSCbhu6WkLvsb0Hov8oazY8ZPo/KM1wq8T4PRiO997ZzPnU/aGPumtg9Z4GP3o5yfiWw+HzTG7kvmt9d3YE3T6s/JzOX4lniq356/JUhAZS+U0PKoqsrRP4+x45tIjq/XApP69euze/duEk+k8/2j68lMtOJSMYhyfTuCqpKx4yBpcef4tt9aVLuKS2gg5Z4bwr4TbjiOwdFjJrggcWVamgFVzV8qn/e/cdvjtNfrE4BHuUKSJ13E6KJ9xnabnQaDb+Pwr4fZ89NBvIOLlwJBCHHjjB49murVqxdI2TN58mSioqKuaDuOYmWW9vHx0R/e3t6sWrWKbdu26de3b9/OqlWr8PEpfDWJEDeLypUr8+qrrwKg5tiIfetb7OlZTo/ctExiXp+q37Nnzx569+4NgCMlnbNTFpCbllHgYc8qOs+PoihkK2b+59md/j5Dme7etkCZ3OR01PNL011DAvC5uzWANi8oRZs/4960th4E+fv7k5CQoPdSpC79W0+WuHTpUl54QUsVoGbnEPfR7GJ/RpbalQkeO4jglwbiVjNMP+9aNRSA5NMZHN8Sj8nNiKVhTQAOrYktUM/pdcf4rsNsfuw6lwO/aJmkQ0NDiYyMpHETbRgx8Vg6GCBoRC8MZhcMrmaCnnxA2ybDrmIq70fIq0NwuHtx8JALh6Nc9LlBeRKTDGzaaibhnIGYWIXsbMhKzCLpaDIAIU2CKQ7D+XlOuVYHtR+MoPeCnrhYTKTGacOgeVu2CCFK3vz582nTpmAustatW/PLL79cUV3F6hG6cLuCl156iT59+vD111/rv1LtdjtPPfUU3t7eV/TiQpSEt956i++++46TJ0+S/e8xTgx7p8iyL774IlWqVOHnn3/Gx8eH1NRU0tfsIH3NjkLLWxrWIGRs/n44WYdOEvv6VDAaCf9mLEZL4b0L6Zv3cvbTufg93Anf+7V5SP4D7yb97z3Yk7XJywYvd7L2ROn3jPbxYce0aaxbt05PgAhw77330rFjRzp27Mjs2bOJiYkha9sBMvcewb1etWJ9Ru4NCmZ8Nnq6Ywoqpw+b+fS7G5dgf7IiD3FgVTS7l5zEzdPEiD+6ErUhjoXPb3W6X1EUVq5ciaIojFzxFMOCHseR60BRFCzlvbClpIOiYA4Pwf+Ru8nadxT/wfdg8rv898qx4yayshQa3GYjMwuOrz4LgFugH0Y3d/IixFxrLmtfX0/qqVQcuQ5Uu0rFVhVo9XxLjOeH9g4fVPHeZyIt9DaCXi9P9GtTINdORkYGqqrKohAhbgLnzp0rtPPF29ubhISEQu4o2hXvNfbtt9/y/PPPO3XVG41GxowZw7fffnul1QlRInbv3u3033BhKleuzPvvv68fb9my5bJ/BLMiD5P+j5ac0OFwEPfW+X8TdjvRL31Z5H0Gdze8u7TE6Of8D7vC+yPAaASjAXOl8qhWbTiqDaAePcpvTz5JKNoQWZ68Hebz3mdem+Pe+w57bsEVU1fCo4WWSNC9WR28OzVHMWpfIdkpNhw2h5Z1+elNxO1LKnCvqqpYrVbs2Nmbs0fv/VLtKlGPvs+JJ97jxOMTOD7kLc59txTrkdPguPyQFoCrq8odba0E+DvwK6eiZKYDYHD3Z+diD2L2u7B/jRtbJ+1g0web2TfnX/bPO8CBBQdZ+cJqTqw7gV8N7TOM//sou/eaOXbchGuVULw6akGm3W4vNFeVEOLGq169eqGLF5YtW6bnFyquK54snZuby4EDB6hVyzkvyIEDB6TrWJQaPj4+ZGZmFpkOwsPDg7p1nXcjj4iIIC0tjX///bdAQGSz2Wjbti0Oh4Ozn8zBMus1zrz3PaotP/DIPZtE4oI1+D3YocDrWW6rhsHiimtl50nNJh9Pqs7+H5m7DxP37iwAvIFOeQVUlaRjx6hSpYqeUGz16tUsXryY+++/H39/fyZOnMhzzz0HuXbi3pxOhTefKPD6qt1O6sp/cK1aAbcalYr83Pz6dca7U3NMgb4oikLW7vM9VBfEK8c3x3N8c3yh93fp0oXY2Fh+7DhX28bkEuzJ6STNW0XQyN6XLAfgblGdkioaVG1StsUbmvdJRzFAQFgmX/TbBEDjJxoRVC+QI38e4/Cvh1n98jqqPtwPlLVkHziBLTYBlxAtV5Bni7qk/bEZgEmTPmfw4ME0atTosm0SQlw/Y8aMYeTIkcTHx+v50FatWsVHH310RfOD4CoCoSFDhjB06FCOHDlC8+bNAe2X8nvvvceQIUMuc7cQNw+z2UyLFpffFPVCHh4eTsNQF5oyZQqPPfYYOBycHv0x9iRtSKtKlSrExsaSnZ1N8s+r8GrfFBc/52nSiqIUGYDYc3OJe/97vdznPXty/PwYuGdwMJXvuAMu6LkC6NWrFxkZGZjNZsaMGcO0adM4cOAA1kOnSPtrF15tGjiVT5q3muRF63DzciHowzGYfAufxq0oitO2I+lb9urP8zJJx8TE6OdaD6uJPcfBwVUxJEdncvbsWWrVqkVc1BkA7nzndloNrI6amAyAw65itzmI25/M94PXk/7XLnzvb4e5UvlC25PH4VDJyACP8xkQUpPPb5Xip6Cc7/feMXUn6XEZ+Fb2oevnnTGajUQ8WIvJK45x+u/T1BtyGs8qtUg/eoC0dTvxe0gLN40++Z+FqmrBXFxcnJ7WQAhx4z366KNYrVbeeecd3nrrLUDrxf/qq68YOHDgZe52dsWB0MSJEwkODuajjz4iNlabIBkSEsILL7yg/eoUoowaNmwYkydPZteuXXoQZDAY2LVrF/v27aNVq1YARI+dTOWp44pdb+z4afoeZJ9//jmPDB/OrlmzyEpMpG7fvngEFdzLLDc3lxYtWug9Xjt27MDLywu73U78pHlk/LVbW8OvqjiyrGT/q+0hmJ1mI/r1qbiGlcelYhDm4ABssQkori743ne7voIMIOdcKrlxWi+Uh4cHS5Ys4ejRo9StW1cf9kqNy+K+d5py13O38fOov4laf4aoKK0XKbCGNy3vDdCDIACDUcFgNFKpkT817wzh0OpYkuatpvyYh4v8fILL22l/uxWjEex2LY9Q0rnzw26q1l5bpo2/39d6g9q+0kafD+QV6kWzkU3YNHELOyavwue2zlogtH4n5frchWIwYPL1dHq9+Ph4Bg0apKczEELceHPmzGH48OEMHz6c+Ph4LBYLnp7av9UXXniBDz/8sNh1XfFPGoPBwIsvvkh0dDTJyckkJycTHR3Niy++eNk5F0Lc6rZu3er07+Drr7/Gy8uLli1b8tBDDwHgSM0gfvqvxapPVVVyzufDCQ0NZeTIkRiMRho9+iitn38en0paL9KJE1pCQsVsQnHVtqeIjIzUAxKLxeL0hztzx0Eyt+0nc/sBPQjKYz+bROa2A6QsWk/81wtIXryepJ9XET9lEeoFw9/JC/KTq06fPh1XV1dq167tlG4jakMsjvNDYD0/bonZUwtMDCaFflMLrpy7UOPeWpqDjK37sKdnFlmuZo1c8j5yoxHKB6kEeGlJLtXzWcKjlh0h40wGJjcT9fo7D3k2HKr1jp3ddQb3QG8wGLAnpmKL1ob3chOS9bJVWgYC2hYkklxWiJIzfPhwli1bBkBgYKAeBD377LMFtgi6nP/Ut+vt7S0rxYS4gNlsZsmSJbi5uXHvvfdqQ2XnzZkzR1/lkLZiC9bTZy9bn6IoKBYtW2BMTAyHDh0qUGbMmDH6Kgm3WpX1CdWenp5Oc5kefvhhHnzwQYxGIwaDQX8YjUbMZjPe3t64ubk5BXKKAf1bIn1DJIk//KEHV+YKgXq5t99+G4CsrCwWLVqkn89OyWXrD1oPkNHFwIBv2lI+woeen7TEw6/o3ecduQ42fLX//HsKx+BRdC6fnJyC56I3a8Gjf21tSK1i64q4+bqRm53L5o/zV7OpDpU/n9E2UPWr6UdWfDw4HBg8LZgCfbGnZhD3ofalWqVlEH0mt8b1fDDXo0cPPVeTEOLGmj17Ng8//DAbN27Uz40aNYqffvrpin+kyCC3ENfY3XffTVZWFr/+WrDXZ+vW/D/CMa9NKVZ9oW/m7xeWNy8vz+HDh/nkk08ALeN09tHT+rULvyDyzJ8/n9zcXOx2u/7Izc3FarWSkpJCVlYWubm5bNqkDSOpDghvGkj3t7Xs0ilL/yZp7goS5/xJyuL8vcr27t3LhAkTaNy4MXa7NlHZo7WW5n7dpH85ezgVgODa5Rj6053UaHfp3D4bpx0kencSrl4uBI503gRXzbXrwRhA5G4th5DDAXlz02O3acP2dnNV4o+a8ArxpMtnnQFY/78N7Jq5m13f7eH3J5ZxZPlRTBYTD8zuwdmNawEty7ViMnLmkznkxidTrpIHPT5ohtHFQO/PWwKQmpp6RclmhRDXzj333MOXX37Jfffdx/bt23nqqadYsGABa9euJSIi4orqkkBIiBuoZs2aeiZUNctK3MdzLnuPa6XyeHXSJnWnpKTw8MP582UuDIzcaoWjZmhDQsOGDaNBA+cJ0VeiZcuWDB8+HIATW+NRVZWOz98GQPLi9SQvXo89JQOPAFe8Q7TemldeeYUDB7TEia41KxE0qjfujWphtzlY8so2zh5ORS3Gcvjo3Yn8NU1LGukzuAcugfmTs7MPn+LY4DdJmrsi/1y2wvKVbsyZZ2HZcjeO7ssm5aQWeOUawtm5xAObFW57pC4RD9bCYXOwZMhvLBn0Kzu/iQSg2xdd2flTOjnnzmLwsODTpSUJM5eSvf84Zg8TvT5ricXHDEBYk0Bu664lmvztt9+cesCEEDdOv379ePvtt2nTpg2//vor69ato2bNmldcj6Je+NPqFpeamoqPjw8pKSkypCecjBkzhm+++Ybff/+d22+//bq/XkhICHFx2hYQIeOHYqldRb+Wm5xG9Ctf4xYRTvlRffTzxx+fgCNV2+pDURQURdFTVrg3r0Pm1n8BCAgIID4+f/l6jRo1OHPmDCdPnsTX17fYbVRVlfDwcE6dOoXBReHZdfew9fsoNk49SJUWgTTsWZkad4SQnWbj847L8pfDm4yEz3wNo8lEbnIa8WM/ISs5f/zqtvvC6DKuAWb3gms1cnPsfNNrNYkn0vFsU5+gC94/QPTLX2I9qq1K67P3JXb864nD4ZzKIGvPEWLfmYGLrz81nnyFul0yiGivZYfOiM9g0YAlWFOsuPm6YfZyJddSG0todf79aiq5qcmU630XJn8f4r9eAAr0/qwlNe5wTmvgcDj4/K5lZCbmYLFYSE5Oxmw2F/uzFaXD9f6bkVd/rWffxejq9p/qsluzOfjJy7f037cxY8YUen7evHk0btyYatXyE8ZeyQ7016xHKDk5mcmTJ1+r6oS4oXx8fFg2x4f169dfvvA1sGvXLn24J/bdWU45uE6P/QL7uRQy/tpN8vLN+W3skb8vmKqq+j0Gbw+nJe0Xrt7s2bMnUVFRpKWl8fnnn19RGxVFYfXq1QA4bCr7l5/m9idrM3bb/Tz0VRsiOlbA6GLAw88Vk2v+V4mlbhWM51eXmXy9MDZwnpy8Z8lJkk6mF/qaiScySDyhXfMb0M3pmsOaQ+7puPzXSYymbu2Cc3Ts5zfKNbhogYk9Jz9Q8gj0oP/yh3l082D6/fEQveY9gNnDlT2ffUpuajIuIQF4d21J8iJt2K/d8NoFgiDQFo08/JWW3j8rK4sVK1YUKCOEuLZ27txZ6KN69eqkpqbqx5GRkVdU73/efX7VqlVMnz6dhQsX4u7uzsiRI/9rlULccKNGjWLTpqaMHdv1hrxeUFAQ7777LuPGjQNbLrFvfUuF8cNI+O53HMn5QULizN/watsAjEaSvnfOomrwcse9aW38B98DBoWUpZvA4eCVV15hxIgR7Ny502kTZKu16L3QilK9enV9A1e7TevxUQzOPTCH1sZgy7Trx1m7orCePotrxSCsR6PJ/CsSAEs5M+6+Zjo8U4/yEb6Fvl5gNS+8gy2kxmVhPXwSU/P8ICr732PYc/IDxsyELDwrFezQttSrCgYD1vhY3FxjCKld+C9th93B8qdXsO/r7QC41a5M0Oi+2E6fxRZ3DheLkeaPVC/ysykf4avt/apCTmEztoUQ19T1Wql5VT1Cp06d4s0336RKlSp07twZRVFYuHCh3tUvRGnj5+fHPffcc0NTQIwdO5bq1bU/tNb9x0leuonUpdokZTe383+8VTj90hdEj52sZfNDWwoP4EjLxKdLS4yuZowuLgSdz7XjcDho0KABnTt3vu7vISfTxqKXtA2Yy5XL75WKeW0KjhwbZ7+cjyNXpVbHUJ5ZczdPLOpEzfYFe1jyKAaFOl0rApC+cbfTtcxdh52OM+KzOHGy4G85o7cHlgba55q591f8KhXMeK86VH5/YhnbvtgOioLvA+0JeXUIpnJepK3V9pGr3alCocN3QohbS7EDIZvNxrx58+jSpQu1atUiMjKSDz/8EIPBwCuvvELXrl1xcXG5nm0VotQ4c+aMvnrqUnbu3KlnKE787nf9/Pbt2+nSpQsA9oRkPXFhu3bt2Ldvn14u5o1p+goqz6a1caur7bFz7Nixq+oBulJzn9pEbrYdRdF6h59++mlAmwh+4vEJ2E6fxcPflW6vNiz2ZqV1u2mBUHbkfnJi8jdPzIrUAiFXL+17ZvfWHGJiCw9cqw+/E8WocGD+QQ4udk45oKoqy0YuJ3L6LjAoBI3qg1/fjihGI47sHKxbdgFQv0f4JdtZhqZXCnFLK3YgVKFCBSZNmkTPnj2Jjo5mwYIF9OrV63q2TYhSafbs2dzZrhJDhw69bFlPT0+++eYbp3MjRoygTp06LFu2TO/9AXB1dWXNmjVUqVKFF154AQA1O4eEaYv1MsGvDNYyRl8jdru9yD0EozbGcXrnOQCefvoZGjVqxKeffkpwcLDeNoC7xzfCvVzROYMupKoqQbV8CKrpjT3HQcyLn2E9Go0tNgFb3DkMJoXanUIBSIvLKrQOo1GlfR9/Wj2vLXP/Y9SfOOz572HDO1vY/tUOUBQCn+qJZ+vb9Gvpf+0iJzOXcmEeVGrsX6Duc8fSeL/5Yt5tsJAJDRc57bEmhCidiv2NmZubq69UkQzSQhTNbrdjMinF7jEYMmSIU29JXs+qoihOk7dXrlyp9x5duEJJveCP/KV6Xe69997ivYELPPTQQ3rP1sWBQd7Gqu7u7k4rNHbt2qU/9wq2FDrZ+GLRuxOZ1nMVH7X5jdnDNuLhpw0NOnJVVFsuKX9uAaBy80Bc8oarLgr4DAaVRg1y6NopG18flfINtK1HcrPyJ1Rnp6ts+jgSAP9HuuHVtqF+zZ6RRdLPqwBo3KtKgc9SVVVmP7YRu9U5MFSUgvmdhBClR7EHwGNiYpg/fz7Tp0/n6aefplu3bgwYMKDY3d1ClBUDBw6kXbt2VKhQodj3hIaGEh2tZUP+9NNPGT58ODVr1qRp06b6MFtIiBZQnDx5knfeeQcAxexC4JMP6PXETpgF53twBg8eTLdu2sqrBg0aUKtWrSt6H0uXLuWX85u7RnQKJaiGT6HlTCaT0/dA0AV7n4XUKfyePA67yqYZh1j/5X59+f3JbfnDYZ53NMKlQhBZa7VElM0fqc6uhdp2IqZyzhvD3lbXRp0ILaOiqqpsmqgFT81GNcVg1IKm357ZS05SIorZBa87m+r35ialkfDtEuwp6fhV9qTJw1ULtHXZWztJj9fyNE2cOJE77rgDs9lM5cqVb9nlykKUBcUOhNzc3Ojfvz/9+/fnyJEjzJgxg9GjR5Obm8s777zD4MGDufPOO6W3SAi0XZD/ixYtWpCUlAQ4BxYAjRs31p+H/G+YHoSk7zxI9m5tO4vw8HBmzJhx1a+fmZlJ7969AXDzMdPj/WZXVU9QTd9Cz2en5hC1Po4d845xOvL8xq2tbsP33rbknDqD9Wg0qsOBf/+uJP+2EVuWnaBaPlRpFaQnWzT65gdCJpNKpYr5c7KOrz5O3I44TBYTTZ9qgsPuYMVzq9g//R8AvLu0wOBmxpGZTfKSDWT8sRFbth0U6PpyQ0xm5++x05HniJyvBWAdO3aUDaaFuIVc1ZKIatWq8fbbb/Pmm2+yfPlypk+fzr333ounpyfnzp271m0UosxJTk6mX79+/Pjjj07nhw0bpv8bM3i7k752Jy4VAsFg4OzE2YA2PHbh8FRx2O12HnzwQY4fPw5AdHQ0mZlaPp6eHzXXe1SuVNXWzkFcSkwmf7wbybFNZ3Hkaj1ALhYjvoPvx7NdIxRFwbVaBbzaa8Ge9UQcyfO1JbNthtVCURTSE7ReGWO5/F3hO9+VjY93/lDklk+0gKfR0AYYXY38dN88opYe0c690J7kxnfhyLER/crX2GK1HqgK9cvR4dl6hDUOwJphY/vco9iy7TjsKltmaRO1PT09C906RQhRev2ntaEGg4Fu3brRrVs3EhIS+O67765Vu4QoU/Lm/mAwYPC04EjNYM6cOYwePZqWLVvq5S7s5XGkZpK6fDPpm/fi2bo+nJ8r9MUXX+ibuxbX66+/zpIlSwq9dmhNLOHNAgucN5i0nqjMzEySk5P1rNUbNmzQy7i4OfesbJxygCMbzmjXKgbh0bwOXu2bOCWEvFDKkvw5Ukvf3Mm6SftIOqll1zaV04ajygfmUs43Pwg6sPAgh3/XesaajW7GHyP/JGrpEUxuJu7/vjumhrfxz3aFzD1HsMUmYHI1cP97zajZIQRF0eZ2Teu1mtSYgjveL1y4MD+1gRDillDsn3lJSUlMmjSJ1NTUAtdSUlKYM2cOw4YNu6aNE6KsyNvXC4cDl5AA/XyHDh2cVm01adJEX7SQNyTmSEkn/S+tB8hgMOTXdQUu3L/sYoWtngJo2LMyKNpCirycRTabje7duwNg9jARVNM5IFPOf+N4tmtI51+HM+S7NnTvb8HXp/CVaZ63N8Qcpu0gb02zkXg+CDJXDcVU3g+AcuXyg6Bjq46x4KFFADR+ohG+lX04uEhbPn/3N/fgf3tddu3RJqM7MrRVZ2FNAqh1Z6j+ea54f7ceBHl4eODh4YGXlxfPPfccHTt2LPJzEkKUTsUOhCZPnsz69esLnRTo4+PDhg0bZIsNIa7SuHHjCA/X8tZYD57Ao6WWUTk7O5tOnTrp5bZu3YrD4dAfef8e8/Ygu1r16tXj1VdfLXC+TreKRHQsfNK3XyVPWg/VJmD/888/enqNlJQUAHp92rLAYorA8xOurfuOUDssFU8PFX8/B21bFZ7zyL1hTSp+MIrK375KxFcjuX/+Q9w3szv3/dRXXzQWf37n+egt0fx0/y/Yc+xEPFiLbl904fTfp7GmWnEPsFD/4Tp4+zhwc9UCJzVXm1NkdMn/Goz9N4ntc48CWs6m9PR00tPTSU1NZeLEicX6LIUQpUuxA6H58+fz5JNPFnn9iSeeYN68edekUUKURbt27dKHyDL+2Y8x0BeA1atXFzlstXnz5kLPX4233nqLOnXq6Me+lTzoMu7SO9i3H1UHvzAPAJ599ll9/ky9eypRuXnB4bSGD4TjV9kT27k0lo1crp93d790qgGDuxvtHvSl/oNVaTDoNmo3tVC1ihbIpEWns3T4H8xs+z22DBtVOlbm/h/ux2A0ELVMC2qqdqmKYlCwuEFErfPL6c8HQobzgZDD7mDu8L9RVS0lwLJlyy7ZJiHEraHYgdCRI0eoUaNGkddr1KjBkSNHrkmjhCiLfHx88ntV7Q7s8cn6tV69ehWal6h27dpO+/sVlvywYcOG+Pn5kZaW5nT+l19+wdvbm3fffVc/t3r1aj2PUfLpDGb0W8uX9/zp9JjywApi9iTq9/T75nYUo6LnG3IvZ+betxtTGBeLifveboJiVNg351/2/fQvAMdOXH66oqtZLXCcsnwzh4d/ws6pO3DkOqjRvQZ9FvbCbNHqi1qmfSdV75a/K7XdrvVS6T1CJu1r8NdXt5OVrCWB/Omnn3B3d79sm4QQpV+xAyGj0UhMTEyR12NiYvInfAohrsrw4cOpX79+gfM2m42TJ08Wes+kSZMICNDmFV28zY2qquzatYukpCRefvllp2tbt25lxU8+JCTk5+0pX748X3311fmbtWDo4se5o+n8+MRf5Fq1QMK7vIWOz2vZmRUFHv66zSW/C0Jv86PNMG1IbekTS1m5OJt/tl9+e54Dh1zytlsjKwui9lk5N/N37Fm5VGhZgYFr+/PQkt6YPfOTTaZFa8Gf4Xywk5KisG+/9lq5idp8R7OHFjQd23wWgMDAwKtKPimEKJ2KvWqsUaNGLFq0yGkFy4UWLlxIo0aNrlnDhCir/vnnHzp27KgnWARo2bKlPoeoMIcPH+aee+5h1KhRRZbJWxqf54033mDhwga88kpXp/NDhw4lNTWVVatWFajD4XCwbNkycjJy+eXZLTz0ZWsAmvWrhmegK56BliJ3lr9Qm8dqEbUhjrh/k9n+7FyCRvbGXKHgUNqFjhwzkZhswNPDQXy8keRdh0BVcfP3YsjfA8+v+NKCsTxNnmzExnf+ZtVLazjtW49zKa6o6vnVbjsOAFC5ReD5NkWw4v3dxMfH89prr/HWW29d9n0IIUq/YgdCI0eO5KGHHqJixYoMHz5cT5xot9v58ssv+eSTTwrkPBFCXDmz2ey0tUZx+Pr68tdff13RPe7u7vTv37/Qa88++yzPPvtsodeGDh3Kt99+y9G/zrD/z9PU7qxtklq7U8Viv7bRxcB97zThu0HryT4WQ+y4Sfj06YzP3a1RLtGblJRkIClJu559+BQAFdtW1SdlX5zovs241uz+bi8pJ1I48t1mfO5rD0BOTDy2mAQMJoWqrbVVac36VWPPryeJ+zeZd999lwEDBlxxNm4hROlT7LGsnj178uKLLzJ69Gj8/Pxo1KgRjRo1ws/Pj2eeeYYxY8bIJqxClAHTpk3TN1Zd8sp2rOm2y9xRuICq3gz75S6qtg7CnuMg8Yc/iPvwh2Lv0ZZzRBsqrNmt6L3MzB5m7njjdgBS1+/Wz2du17JThzcNxM0rf1ju4SltMJoNOBwO7rrrLtlhXogy4Iom9bzzzjts3ryZwYMHExoaSkhICEOGDGHTpk28995716uNQoibiMFgYOXKlSgK2HMczHnyynqiLuRd3kLfL1vT7X9NAMjaeYicwycue5/qcJBz5DQAFVtduicq4sFaKCYDttNn9SzSecNiNdoHO5W1eJu553/aRO/o6Ghee+21K3tDQohS54ozSzdv3lx2WhaijKtbty4vvTSW9957j5g9SWz/6ShN+hbcqLQ4FJOJJuPu4uSBLPbN+Ze0mQtweW0EBotr0Tc5VHIztBVeXqGeRZdDmyhtMBqw5zr0lWIOq3avZ2DBLNFu3vk9RHk5kYQQt65iB0K7d+++fCEodMWLEKJkXJjQ0MPD45rWPWHCBObNm8eRI0dY8f5uat0Zgmeg5cor8rCguJjo+nlnTm04RerRRBxTFxI4ug+urgo5OUqBW0yuBszeruSkWslMyMQ9oOil7oeXRmG35mIKKodLRW3vM9ewYHKOxnDmQIpTwkhbtp2Fz2s73fv5+fHpp59e+fsRQpQqxQ6EGjZsqO/DUxRFyc8lIoS4uVSoUHiG6P9i9erVVK1aFbvdzuzHNvLEok6Xv+li1hxUVcU9wJ2ePz/ArHY/kL5pL816VaDtmCYkJimsXuuG9YKAyNtbxbO8B4mpVjLOZhIQUXT127/eCYBnq9v0wNBcJRTW7iDuQLJT2Z9HbcKWZUcBli1bpi8KEULcuoo9R+jYsWMcPXqUY8eOFfk4evTo9WyrEOI/uHi7i2shLCyMDz74AIBzx9JZ/9X+AmUyk638+8epoiux5uA4GY2akUWFer7c+bzWq7xu7Aqit0TjV06lToTzhOysTAX3QK0XKDO+4OaoeWJ3nuHEmhMoRgXvTvlD+q5VQgGI25+sn9v720lObI0HYPhTT+lTABwOBx999BGnTl3iPQghSq1iB0KzZs0iMDCQ8PDwSz6EEDenSpUqXZd6x4wZo+cQ+2vKAc4dT9ev2W0Ovu6+gkUvbWPhi1uLriQlDceR4ziOnaLZQ5WpeXcVHDYHfz67EgDTRX3Xvr4OPIK0QCg9Nv3i2nQb39kIQO1eEVRpmD+XyBwWjGKAjAQr6QnZAKycuAeAihUrOu2b+PvvvxO1503mzp17uY9CCFEKFTsQ+t///kd6etFfOEKIm9MLL7zA/fffz+OPP37dXmPVqlWYzWZUFX58bIM+hL7wxa1kp2q9OfuXRxO1Me6ydSmKQrN+2sTr9LgMsrPhwGHnSKh8kB3/Wv4AnN1zttB6jq48xoH5B1EMCm1fbkM53/ztRwxuZoxB2v0JR7Ts07YsbVj/0Ucfdeo9a9GiBQGVRtOzZ8/LfxBCiFKn2IGQ5NMQonT64IMPWLRoERbLVUxkLqZy5coxffp0ANLOZrP8nUgOrY3h0OpYAH3LjYXPb8WWffl5hC7kApCZCb8us5CW5vxVdS7RQEgTben78TUnSYxKdLpuz7Hzx/lNXZuOaEJgvSDizjjP98nLZJ1wNNXp/MVDiEFBQbz11ltUrXp1q+KEEDe3K8ojdD3mGAghbg0DBgzgzjvvBGDHvOP88swWAAICAti4URuismXZmff0pkLvTziaSvwRLShRDNp3jSNXxdPTgaur8w+x09Em4i2VQYHEw4l8UeNr5tz9E5s/2cofo5Yz644fOHcwEUuAB6ED72TNelfOxjsHQi55gdAx581ohRBlyxUFQjVr1sTPz++Sj+vlnXfeoXXr1ri7u+Pr63vdXkcIcfV+//33/GX65/f9+vPPP2nVqhVPPPEEAMc3x7PvosnTiSfTmfrAKqY9uIozB1P0QMjVbKdbJyv335NF+SDnnqTTGf6EvPYoYR2rA9pO8yvGrOSfyduJ3hwNCtR4pgt7jngX6A2C/B6hc0fT8porRJnx1VdfUb9+fby9vfH29qZVq1YsW7asWPfOnTsXRVHo0aOH03lFUQp9fPjhh4C23+HQoUOpUqUKFouFatWqMX78eHJycq7127siV5RQ8X//+x8+Pj7Xqy2XlJOTQ+/evWnVqpXeBS+EuLm4ubmxYMECunTpAkBQUHl9IvXHH3/MtGnTcDgcRM4/Qd2u+ZO3j2+J158fXhtLvXu1axmx6eyatZsGg+pTv66NFWedAxq/JpV58H/BJEYlsv2rHSQdS8avhh/lqvmhVqxIhcZBmM3Z7D9o4sRJ56876zFt2M6WZefEtnhyzw/Z+fv7X+NPRYibT8WKFXnvvfeoUaMGqqoya9Ys7r//fnbu3EndunWLvO/48eM8//zz3H777QWuxcbGOh0vW7aMoUOH6vPrDhw4gMPhYMqUKVSvXp29e/fy2GOPkZGRwcSJE6/tG7wCilrMyT8Gg4G4uDiCgoKud5suaebMmTzzzDMkJydf8b2pqan4+PiQkpKCt7f3tW+cEAJwHkafO3cuffv2pUOHDqxduxZFgcGz2xNSt5xexpaVy85fjmPPddCoVxXcvFxY9eVhtkzZi2JU6D2/Jz4tI1i11jkTtNGo8uB9WZjN2rHdDmvXm8m1K7RqnoO3t/b15nDA0j/dSEnROsHTN+3h7Gc/AfDgxGb8/sZOrOm5eHt7k5CQgIuLC0Jc778ZefXXevZdjK4Fs5xfCbs1m4OfvPyf2urn58eHH37I0KFDC38Nu5127drx6KOPsmHDBpKTk1m0aFGR9fXo0YO0tDRWrVpVZJkPP/yQr776qkTT7xS7R6g0zg+yWq1YrVb9ODU19RKlhRDXw6BBg0hKSmLt2rUANO5b1SkIAnCxmGj+SHWnc3c+VZOsDAe7f/iX+X0XUuP9RyHYOUWH3a6wbqMrTRrlYDDAmbMGOtyhPb/wJ57BAF6eDlJSDOREnyV52nwAWj1akz2/nsKark3O/vXXXyUIEmWO3W5n3rx5ZGRk0KpVqyLLvfnmmwQFBTF06FA2bNhwyTrPnDnD77//zqxZsy5ZLiUl5bpOqymOW3rV2IQJE/Dx8dEf1yuPihCiaFarleHDhwPgVd6NzmOLtw2Pgsrdz9agRodQ7FY7Rz/7HdXhKFDubLyRZX9aWL7SjerV7JxfoMaFv92ysiEhwYgjy8qZj+eQk5lLeLMAQur6cHidtqT/kUceoV27dv/tzQpRwlJTU50eF3YGXGzPnj14enri6urKk08+ycKFC6lTp06hZTdu3Mj06dOZNm1asdoxa9YsvLy8ePDBB4ssExUVxaRJk/T5gyWl2D1CjkK+gP6rsWPH8v7771+yzP79+4mIuET+/EsYN24cY8aM0Y9TU1MlGBKiBPWb2vaKepcNJgN3v96Qr7aeJedYDBlb9uHZ6rZCy4YE2zEW8tPubLzC31tcybYqxE9dhC06HheLkR7vN+ere/8EIDAwkJkzZ17NWxLiPwvaacVk+m+jLrm5Vg5SMHHq+PHjeeONNwq9p1atWkRGRpKSksIvv/zCoEGDWLduXYFgKC0tjUceeYRp06YREBBQrPZ8++239O/fHze3wof8oqOj6dq1K7179+axxx4rVp3XyxXvPn8tPffccwwePPiSZf5L7g5XV1dcXS+xg7UQ4rrw9PQsNAGru6/5iuvy8HOlTpcKRC44Qc7JOGh1G16eDjw8VM4lGrDZtD8gVmvhf0iCAlXq1LLxzw5X7Ina8Hj5CF8sPi7kZGpDYj/88IOe60iI0uzUqVNOc4Qu9TfQbDZTvbo2JN2kSRP++ecfPvvsM6ZMmeJU7siRIxw/fpzu3bvr5/I6R0wmEwcPHqRatWr6tQ0bNnDw4EF++umnQl83JiaGDh060Lp1a6ZOnXrlb/IaK9FAKDAwkMDAwJJsghDiOjh58iSbNmn5glJTU+nXrx+qqvLj438x9Oc7r7g+u0370jVY3AivlEvrlto8oPR0heUr3XD3cBBc3s6p0wZCgh0FtuSoWcPOgUMOfB+4g7j3viMhKpVcW34vd8WKFa/+zQpxE8lbDn81HA5HoUNpERER7Nmzx+ncq6++SlpaGp999lmBXqjp06fTpEkTGjRoUKCu6OhoOnToQJMmTZgxY8ZN8QOkRAOhK3Hy5EkSExM5efIkdrudyMhIAKpXr46np+elbxZC3FDlypXj7rvv1o8PHTrE+PHjOXMwhc2zDtFyUM0rqs+aofXcGCyu1K1j0+cBeXqq1K2TQ41qdvI2it+zz0RoiB1/P+d5jaoKlvrVMfp4kp2Szslt+Uv2b4YvYyFupHHjxtGtWzfCwsJIS0vjxx9/ZO3atSxfrmVkHzhwIBUqVGDChAm4ublRr149p/vz8vldfD41NZV58+bx0UcfFXjN6Oho2rdvT3h4OBMnTiQ+Pv/fYHBw8DV+h8VXagKh119/3Wn2eV5ukjVr1tC+ffsSapUQt6Y1a9bgcDi46667in3Pb7/9RnBwME2bNi1w7fXXX2fu3Lns37+fNZ/+S+0uFfEJdi923TnnAyHFYiY3V+HC9IeenqoeBAFUr5rLxbuJ7NtvIj3DgGIA96YRpK3axsE1l9/3TIhb1dmzZxk4cCCxsbH4+PhQv359li9fTqdOnQCt8+FqfiDMnTsXVVV5+OGHC1xbsWIFUVFRREVFFeiFLckFWcXOI3QrkDxCQlye1WplwIABqKrKzJkzi9XjeuDAAT55twVGz/58+eWXhZaJjY0lLCyM3NxcwpsH0n9a26IrtLihWNxQMzLBmsM3vVdx9lAq5V8YQMWONWl/uxV3i0p0jIHjJ4y0aWXTb83KwikQSkqGpcvzg67MyEPEvfcdXuXdSDuj7Tyfl+tIiAvdqDxCt7cfj8n03/II5eZms2Ht/+Tv21UoNT1CQogbw2w206dPH+x2e/52GZcRHh6OV9BjhIeHF1kmJCSEli1bsnHjRjITi17Si7cnhvCKKIqC6nCQuP5fzh5KBQVcq1YgKcnAwiVumEyc7x0CDw+oGGrk3LnyuLpmULlygl6d60Xzs81hWhd8eoIVdz8zmYk5DB06lO7du+PuXvxeKiHErUECISGEE0VR6N279xXdY7FYipUiX++AvsRKYYOfr77EXjEY2PVbNABudapgKueV10pyc/Pv2bihPUnn2gNw222RVK48T7+WnOLcvW/w1LqLVLvKAx8058dhG8nIyODee+9l9erVl30PQohbi8wQFELcMHmB0KVSCam2/Ajn+NoT/P3pDgC8OxSce5QnObGl/nzPngZs3tyGjEyFM2cNbNnm3CWkuJjApE0qKlfJg0Z9qgDavKjZs2df2RsSQpR6EggJIW6YC3uE7Dl2Fo39h91LTjiXiYtHTUsn9VQyC/osQLWreLZtgEebojNSKwbbhUesXt2GRb9aWLnGjczM/K85e1Y2p1/4HHK1DVbnPvU30XsS9euPPvqobMUjRBkjgZAQ4obRe4RQ+HnUZv5ddprfX9tBzN78YAS7HcexU0R9u4mM+CwwGvAfePclM1IHhSwBtGDIYMwgpNL3hZaLfnEyttP5S3YTjqRxZn+KfpyTk8PChQv/wzsUQpQ2MkdICHHDJcdkcOagFoCoaD0zz6y5G8MFe2TUvCuUdV/sJz0+m6QFawgYfK9+LTO9GqkpDTEaM/ALXIfRmK1fc9g9yEyvhdlvq9NrJi5YQ258MqAlnfP398ff3x+DwYDRaERRFMLCwujXr9/1e+NCiJuOBEJCiBsmr0fImqbNA/L19SU5OZnsFBuLXvqHBye20MtavM3c+2Zj5g7/m9Q/NuPRoi6W2lWwZgcRF90b0Ob55Nr8cHWLBvJ3jU9PrYfvBYGQLTGN5J9XAeDm5kZSUpIkURRCADI0JoS4Cg6HA5vNRk5OzlXXoSgKf//9t75C7cCKGKI2Oic5rNq6PLd119L3Z2zaC0CONZi8IAggOzsUk0uy030uFx1Hj5usP1+zZo0EQUIInXwbCFGGfPzxx4SEhLBz584iyzgcDvz9/VEUpciH0WjEbDbj6upKWFhYsV//wv2KXnnlFWrXrs2cOXPw8/MDYOHzW7Fl5TrdU7V1eQCsx2IAcHWLRlHyy5hdz+BwmPHw3IfJJRF3j8P4l1+uX0/8ZTWOlAwA+vbtS8uWLRFCiDwSCAlRhkRERPDMYzbS0tKKLJObm0tycnKx6zx16lSxcgitXbuWzMxM/bh8eS3AMRqN/PHHHyiALcvOz6M3c3JHAn9PP4gj10FQTR8Ack6fRVVVzK7nCK74I57eu/Dw2os1qwKJ8Z3JSK+DX8A6giv+jMmUob+O7fQZ/fm99+bPMxJCCJAtNoQoUxwOB/Hx8XoQUpSjR4/y7bffYrPZnM47HA496HH1NGH2cCHtTBZGo5Fjx44V2IX6wvvc3d2ddrZWFIWEhAS9N2jEiBEFtudo9WhNbh8ewYctlqA6IOzrlzD5eunX4+PuJi2lkX5s8YgipOJPTnXYc2ycGPQmqComk4mkpCTZqFkUi2yxUTbIZGkhyhCDwXDZIAigatWqvP3224Vei4iIYNiwYVjTc6l1Vyh7fzuF3W7nrrvu4tChQ4Xe065dOz0I8mzXkPT1kaiqSoMGDTh16hQAkydPZvHixURHR+v3bfr2EB2erotPqAfJpzOwxSY4BUImlxSn1zGZnI8BjGYXfPveRfLcleTm5tKxY0c2b9582c9ACFE2yNCYEOKKDB06lLZttQ1T9yw5SZOHqwJw+PBhHnjgAV555RUGDx5Mnz596NOnD/feey9//fUXAC4hAQQ91QtLo5oAnD59mpdeegnQeohWrVpVYCJz2pks/MK1Hhxb7Dmna77lNuPpvRujKRV3z4P4Ba4ptM3l7munb62xZcsWpk+ffi0+CiHELUCGxoQQVyw9PZ2AgACsVisB1b0wuRqJ25d86ZsUhfAZr2F0M6OqKscHv4lq1Ybejh49SpUq2lYXTz/9NJ9//rl+W+ex9Uk8mcG2H4/g2bYBQSML3wctPbUOWZlhuFpi8fbZVeB6xtZ9nPl4DgCenp6XnCclBMjQWFkhPUJCiCv2119/6UNd5Wv68PDXbfAOseDiZsTocsHXiqJoD6OBwFG9MbqZz59WCH3zcb1YkyZN9Oc//vij02tlp9qo3SkUgPSNu8jcWXD4LS21LmdjHyAtpQkJcfeSklRwXzL3ZnUw+msTrzMyMgpcF0KUTTJHSAhxRbKzs+nVqxcAbt4udH+7CQajgZF/dCUxPZiZ74dgX/I6SoMHCXuhLUZTZqH1uIaH4Nm+Melrd5CUlMTgwYMxmUwkJCRoBcwukGNDMSpUahxAswHV+OeHI8RPXUjFD0Zh9HLX68rKqOJUd1ZGVXzKbXM6pygK7k0iSPtzC2WoI1wIcRnSIySEuCLdu3cnPT0dgD6TWzlti7F+/8Nk52iTmVWHG8mJrS9ZV9CTD+pzd2bNmqXP3VE83PBsVQ8Ag0HbY6z9qLr4V/HEnpRG/JfzUe12VBVSkpqRYw1wqtfs5pyYMY/BLL/9hBDOJBASQhTb3LlzWblyJaCNeK36eC+H18Xq13Md5gtKq6jq5QOPChNGFDhXccJTkLdB6/lvKRc3I/e92xSTq4HMnQdJ+PZXks+15dzZzuRYK2hlzGfw9fuLcv4bCn+xS2zcKoQomyQQEkIU28cff6w/V1WIjkzkl2e3kBqnDX+1qrEAk+v57S9ObsDLY2ORdaUkNiMuujfphnvwvv8O/bxP99txCfLD4KoFVYfWxGK3OQAIru1L7c5a0JO+djuZKYFOdVrcT+EXuBZFKXzoy+idnz9oyZIlxX3bQohbmARCQohi++STT2jRogWNGjWicePGGI1GVLvK7Me0gKeC32GGjtqExd8TUk6TubzwYCM1uRHn4juTmV6TpIT2GDv9D++7W+PdrRX+/bsA4N2tFa6eJk5HJvLrq9tZ/clevrz7T/b8quUd8unRHot3klO9JpckLjX9x6tzc/153759yc7OLrqwEKJMkEBICFFsbdq0YfPmzezYsYPt27fry9yTTmaw5rN9APgHZtPlxdoApC1Zi+1sUoF60lJuczrOSK9BwMC7CRh0j37OHBpIuVH9UQzw7x+n2TzzMCkxmShuZvwGdMWv912UC1iPr/8GXN1Ooig2EuM7cezQWOKie6A6jBe/LEZXM5bGtQBt0vc999xToIwQomyRQEgIcdWeeuopmjfXelk2zThEfFQqALW7VCCsaQC5VgfnflhW4D6H01wioIipO+4NauA/9H6Mvp54tKxH0LMPEz51HL73agkdFcWBX8B6wISqupy/y0hmel1SkpoXWqdP11b689WrVzN37tziv2EhxC1HllAIIf6TFStWUL58ebKzs5nWcxUG0/mo5vwQVebWfzn68Kv49e+qBzCubrHYcvK3+vDw/LfI+r3vaob3Xc0u2Qa73bXAOZvNB4fDiMFgdzpvqVsFg7c7jlRtXtOQIUPo06dPgYzWQoiyQf7lCyH+E29vb2bNmqUfO3JV7WG/YLKOCok//EHiwrXYc13IzKihX1IMVrx9t1/166el1CPX5nfRWQdpKU04HvV8gWG43LNJGHPyN3+1Wq1Om8EKIcoW6RESQvxnffr0oWLFikRGRurn7HY7OTk57N+/X88PlPzTSrKPJOHo/BSc78RRHa447J5ANufOdCEnxx8Pz0OUCyh6xVke1eEgNbkBBcfWzv/GU03En7kbT+99KIoD1W7n7JfzsWXn9xINGzYMi8Vy9W9eCFGqSSAkhLgmWrduTevWhSdQNBgMTJs2DYDsbdsh4yHo+ysoCiaXJEymNOLj7iU9TUuimGMNweSSjJfP3iJfL+dkHHETZ6OW+wP6rAZTweExAFQTqmpEURykLNuE9fAp/VJISAhff/31Vb5jIcStQIbGhBDX3ZQpU6hQoUL+if2/47p/PF4+Owip9AOKwU5Ojr/TPbaLji+Uc+oMMW99S+7ZJOwH/8a46nFQbOgTky7g6/cXBoMN29lE0n5ZoZ9XFIWVK1fK3CAhyjj5BhBCXHeKorBq1SqnoMOx5F38POfj4qKtNPPwvHAzVTvunlFF1nfms59wpGVidNcSJNr//o4Q44tcPEQWELwYv8C1ACQtWOs0JDZu3Djq1Knz396YEKLUk0BICHFD1KpVi/Hjx+vHtiw7GZvyh77KBWwkMHgxvn4bCQ37HjdLdJF1uVYOAcCeqe15ZvBwwxzghpdP/qRrN/djeHnv04/NIfn7kRmNRt55553//qaEEKWeBEJCiBvm9ddfJyIiQj9OWfWP03Uvn734Ba67ZBAEEPjkA3i0rKcfB43ui9HHE4cjf9Kz6nD+evO5tw3GQF8AHA7H1b4FIcQtRiZLCyFuqFWrVhEWFobdbsd2PBZb3DlcgoueD1QYxWQiaHQfHEPuRXE1Y3Azk5vrSUZa/lCXNTucHGt5XM/vRK8YjXg0rU3qsk2ol9qHQwhRpkiPkBDihgoNDXXavPXs1wuuqh7FYMDo44nBTctSbTBYURTbBSUcGAxZzve4FO+334YNG2jfvj0HDhy4qrYJIUoPCYSEEDfc6NGjqVKlCgDWAydI3bDzv1eam4lv5gcoe2egbHgL9+2DMZLgVMTg7aE///7774us6sSJE6z8MZodO3b893YJIW5qEggJIUrE5s2bURRtlVfCl/PJOnTyqutSHQ5iXptC0nuvos57FHXl62Qu+Z7kheucynl3aQEG7TWHDBlCZmZmofWFhYVx18OhNGzY8KrbJIQoHSQQEkKUiKCgIL755hvtQIUzb03Dejz2qurK2neUnBNx4GJCCW8FNbVd5ZOXbicrIb8XyOjiQtCo3oCW+bpJkyaF1teuXTvWrVsny+uFKAMkEBJClJhHH32U9u3bA+CwqcS8NR1H1pXv+5W6YisApoYPoz76Nzy8BMrXB2saZxY49zR5tqqPa60wAA4cOOA0X0kIUfZIICSEKFHLli3Dw0PrtVEzskn67fJ7jF0oNzGVzG0HtefNXtROGgzQXstZ5PjrG+xpzkNgwa8PBaMRgOeeew5FUTAYDLi7u8sEaSHKGAmEhBAlys3NjUWLFunHKQvWkLX/WLHvT/51EzjsEH47lM/PLUREDwhuCNY0Tn55gtTkRvolo9GI0ct5o1VVVcnKymLu3LlX+U6EEKWRBEJCiBLXsWNHHn74Ye1AhXMTZ5KbkHzZ+3KT00hduUU7aPeK80WDAe6ZDIqCunM2CZtcsOWUAyB5+WbsyenX8B0IIUorCYSEEDeF77//noAAbRuMnAw7sR/NxpF96flC5xbuBFsOVGwJ1TrDxYkSw9pAs6e052v+h93ujj0ji8SZvwHg4uKCv/+VJXMUQtxaJBASQtwUjEYjf/75p75tqu1YLDFvfENuYmqh5e1pmWSsPr88vv14UBTtcbHbXwaDCU7+hRq9ndMvfaFvUv/bb79pr3nBbbIbvRBli/yLF0LcNBo1asTop5/Wj3OOxxL33qxCt8TI3HUIbFYIiIDqXYqu1DsU6vUFIGH2auznh9y6du1K586dady4Mc8886xeXPYhE6JskUBICHFT+eSTTwgPD9ePc06eIedYTIFyyvlVX5hcC+8JulDjYQDYDh/VTy1dulR//vHHH9O4cWPc3Nzo1avXf2i9EKK0kUBICHFTURSFVatWOQ1RZWzZV6Cca/WK2pP4PZis0QXnB10orA24+UButtPrXGj79u1kZWVRr169i+8WQtzCJBASQtx0qlWrxvjx4/XjlNXbCgyPmQJ8tb3D7A5yz566dK+Q0QWqXWL4TAhRZkkgJIS4Kb3++uvUrFkTADUtk5MjP+T02MmcHvclGZGHUBQF12oVtMLR/1y2PqVGp+vZXCFEKSWBkBDiprV27Vp9CMt+LpWc43HkHIvhzHvfkZuchrlSea1gwv7L1qXW6O50/PPPP1/z9gohSh8JhIQQN62QkBA+/PBDPDw8sFgsWCz52aBPj/0C69nzw2XeFS9fmcHF6bBfv35YrVe+r5kQ4tYigZAQ4qb23HPPkZ6eTmZmJpmZmfTs2RMAR3I62XsOaYUCi7FLvPV8PiKDttrMbrfTtGnT69FkIUQpIoGQEKJU+eWXX/D09NQOMs5q/xtY+/I3WlO0/3UPwFxVm1u0d+9evvrqq+vQSiFEaSGBkBCi1Nm0aZPziXLVLn9TXo+Qqzchbz4GRu3rb+TIkZJEUYgyTAIhIUSpU69ePVq365B/QinGV1ncbq2otz9GkwmjtwegZZJOSUm5Hs0U4qY1YcIEmjVrhpeXF0FBQfTo0YODBw9e8p4FCxbQtGlTfH198fDwoGHDhnz//fdOZdLT0xk5ciQVK1bEYrFQp04dvv76a6cy7du3R1EUp8eTTz55zd9jcUkgJIQolVo3b6I/Lx/zBYp6mYnPBxYC4NPSn9Q127EnpQHQoEEDypUrd93aKcTNaN26dYwYMYLNmzezYsUKbDYbnTt3JiMjo8h7/Pz8eOWVV9i0aRO7d+9myJAhDBkyhOXLl+tlxowZwx9//MEPP/zA/v37eeaZZxg5ciRLlixxquuxxx4jNjZWf3zwwQfX7b1ejqnEXlkIIf4Dk+mCr6+jq7GE3EemMbzwwpmJcHwtAO4NKhMz7ku9jq1bt17nlgpx8/njjz+cjmfOnElQUBDbt2+nXbt2hd7Tvn17p+Onn36aWbNmsXHjRrp00RKW/v333wwaNEgv+/jjjzNlyhS2bt3Kfffdp9/r7u5OcHDwtXtD/4H0CAkhSr2M44fIUXyLLnDoN3DYcalUnrOfztW34/j5558xm803ppFC3ACpqalOj+KmiMgbHvbz8ytWeVVVWbVqFQcPHnQKnFq3bs2SJUuIjo5GVVXWrFnDoUOH6Ny5s9P9s2fPJiAggHr16jFu3DgyMzOL+Q6vPekREkKUepmnjoDNBq4XnFTV/G03DiwGwBxenoyN2lyhO+64gwceeOAGt1SIgoxrIzEqLpctdymqagOgUqVKTufHjx/PG2+8ccl7HQ4HzzzzDG3atLnsXnspKSlUqFABq9WK0Wjkyy+/pFOn/KztkyZN4vHHH6dixYqYTCYMBgPTpk1zCpb69etHeHg4oaGh7N69m5deeomDBw+yYMGCK3zX14YEQkKIUunCoTFHjhVl/6/QcIh+zuxIIMfgBxhQzu1FBVR7/n5lq1evvoGtFeLGOHXqFN7e3vqxq6vrJUprRowYwd69e9m4ceNly3p5eREZGUl6ejqrVq1izJgxVK1aVR8KmzRpEps3b2bJkiWEh4ezfv16RowYQWhoKB07dgS04bI8t912GyEhIdx1110cOXKEatWKsQL0GpNASAhRKhmNRqdjdfu3ToFQjjEw/1r6OQAMbvnDYBfubi/ErcLb29spELqckSNH8ttvv7F+/XoqVrx8hnaDwUD16tUBaNiwIfv372fChAm0b9+erKwsXn75ZRYuXMg999wDQP369YmMjGTixIl6IHSxFi1aABAVFVUigVCp+CY4fvw4Q4cOpUqVKlgsFn1n6pycnJJumhCihLi4XDCUoChwciOc/bdgwVwrZGqBkGI2FrwuRBmkqiojR45k4cKFrF69mipVqlxVPQ6HQ5+HZLPZsNlsBX5kGI3GS+bqioyMBLQtdUpCqegROnDgAA6HgylTplC9enX27t3LY489RkZGBhMnTizp5gkhSkD58uX15+aw8uSciIPtU6Hbp84F0+O0/zUZUXPsN66BQtzERowYwY8//sjixYvx8vIiLk77d+Lj46Pv6Tdw4EAqVKjAhAkTAC33UNOmTalWrRpWq5WlS5fy/fff69nZvb29ueOOO3jhhRewWCyEh4ezbt06vvvuOz7++GMAjhw5wo8//sjdd9+Nv78/u3fv5tlnn6Vdu3bUr1+/BD6JUhIIde3ala5du+rHVatW5eDBg3z11VcSCAlRRunbbACO9Cztyb6fCwZCmQkAGDx9yDymBUJ5O9oLUVblBS8XL4mfMWMGgwcPBuDkyZNOvTsZGRk89dRTnD59GovFQkREBD/88AN9+/bVy8ydO5dx48bRv39/EhMTCQ8P55133tETJprNZlauXMmnn35KRkYGlSpVomfPnrz66qvX9w1fQqkIhAqTkpJy2WV+VqvVaelgamrq9W6WEOIGuTCYceT19KTFgjUdg9mIAzdtyMyiJUt0pKVDxTpAJKqqFlKjEGVHcf4NrF271un47bff5u23377kPcHBwcyYMaPI65UqVWLdunXFauONUirmCF0sKiqKSZMm8cQTT1yy3IQJE/Dx8dEfFy8rFELcGhzZNvA8n5xtx3QciiV/6bx3GChGsOeAa/EnkQohyoYSDYTGjh1bYL+Rix8HDhxwuic6OpquXbvSu3dvHnvssUvWP27cOFJSUvTHqVOnrufbEUKUFJsV7nhNe75qHJw7nH/NaELxPh8k2dJvfNuEEDe1Eh0ae+655/SxyKJUrVpVfx4TE0OHDh1o3bo1U6dOvWz9rq6uxcqhIIQo/crdWZ6kf9vDsbWwaAgMXgNGbWWZwTsIe0o0Bkcsss+8EOJCJRoIBQYGEhgYePmCaD1BHTp0oEmTJsyYMUNygAhRxl04x8FgUvDx301qz0+xf94WTv4F8weAfw2I3YE9eg8ADnxKqrlCiJtUqZgsHR0dTfv27QkPD2fixInEx8fr126WTduEEDeW3Z6/FN6tcW0MbmZ8qsST2Gs2zHlAW0F2ofr9wbuITVmFEGVWqQiEVqxYQVRUFFFRUQUyX8rqDyHKpgtXhHrf2RQAX/8tGNvXJkV9C9umBah+DSC4EVRoBhWaw+qSW6IrhLg5lYpAaPDgwZedSySEKFvOnj2rP7fUr64/9/Lej0d3EzENfiPHqvUYGwxZOBwKyO8mIcRFZKKNEKJUunBozJFldbqWnRWmB0EADocbQSHz8fDZrZ/Lysq6/o0UQtz0JBASQpRKvXr10p+ffukLp2tGY6bTscGQjYfXAbyb5+9l1KVLl+vbQCFEqSCBkBCiVKpVq5YezNgTkkn8eaV+zdUtjnIBa1AUK0ZTKkGhC7Qk0zXDUTzcANiwYQOzZ88ukbYLIW4eEggJIUqtZcuW6RtEJi9Yiy0hWb9Wzv9vqtScSHi1Sbh7HNfPe3Vooj8fOnQoKSkpN6q5QoibkARCQohSS1EU1q9frx9Hj/vysvd4NInQn1utVjp37nxd2iaEKB0kEBJClGpNmzZl4MCBADjSMomfuuiS5d1qhmHwsOjHW7dudVqBJoQoWyQQEkKUerNmzcLX1xeAtNXbsJ6ILbKsYjTic28bp3MJCQnXs3lCiJuYBEJCiFvCtm3b9Ocx46ddMtmq7323Y65WQT92OGQHMiHKKgmEhBC3hGrVqvHCCy8AoGbnEDex6BVhitFI4BMP6MeZmZlFlhVC3NokEBJC3DI++OADQkNDAcjafoDMvUeKLGsK8NWf22y26900IcRNSgIhIcQtZffu3SiKAkDce99hz80ttFzcBz/ozytVqnRD2iaEuPlIICSEuKX4+/szceJE7SDXTtyb0wuUSd+6D+uB4wBUr16dsLCwG9hCIcTNRAIhIcQtZ8yYMUREaPmCrIdOkfZX/h5jdpuNs5/+BIDBYGDnzp0l0kYhxM1BAiEhxC1px44dGI1GAOInz8OWlIY9I4vosV/C+VVi33zzDZ6eniXZTCFECTOVdAOEEOJ6sFgsfPfdd/Tv3x9UlVPD33e63qRJE4YMGVJCrRNC3CykR0gIccvq168f9913X4Hzrq6ubN68uQRaJIS42UiPkBDilrZ48WKioqKIj48HwGg00rhxY0wm+foTQkggJIQoA6pXr0716tVLuhlCiJuQDI0JIYQQosySQEgIIYQQZZYEQkIIIYQosyQQEkIIIUSZJYGQEEIIIcosCYSEEEIIUWZJICSEEEKIMksCISGEEEKUWRIICSGEEKLMkkBICCGEEGWWBEJCCCGEKLMkEBJCCCFEmSWBkBBCCCHKLAmEhBBCCFFmSSAkhBBCiDJLAiEhhBBClFkSCAkhhBCizJJASAghhBBllgRCQgghhCizJBASQgghRJklgZAQQgghyiwJhIQQQghRZkkgJIQQQogySwIhIYQQQpRZEggJIYQQosySQEgIIYQoY9avX0/37t0JDQ1FURQWLVp0yfILFiygU6dOBAYG4u3tTatWrVi+fLlTmbS0NJ555hnCw8OxWCy0bt2af/75x6nMmTNnGDx4MKGhobi7u9O1a1cOHz58rd/eFZFASAghhChjMjIyaNCgAV988UWxyq9fv55OnTqxdOlStm/fTocOHejevTs7d+7UywwbNowVK1bw/fffs2fPHjp37kzHjh2Jjo4GQFVVevTowdGjR1m8eDE7d+4kPDycjh07kpGRcV3eZ3EoqqqqJfbqN1hqaio+Pj6kpKTg7e1d0s0RQghxE7vefzPy6m/P/ZgUl/9UV65qYy2Lr6qtiqKwcOFCevTocUX31a1bl759+/L666+TlZWFl5cXixcv5p577tHLNGnShG7duvH2229z6NAhatWqxd69e6lbty4ADoeD4OBg3n33XYYNG3ZFr3+tSI+QEEIIIa6Iw+EgLS0NPz8/AHJzc7Hb7bi5uTmVs1gsbNy4EQCr1QrgVMZgMODq6qqXKQmmEnvlEpDX+ZWamlrCLRFCCHGzy/tbcb0HTnKxwX98iVxsQMG/b66urri6uv63ygsxceJE0tPT6dOnDwBeXl60atWKt956i9q1a1O+fHnmzJnDpk2bqF69OgARERGEhYUxbtw4pkyZgoeHB5988gmnT58mNjb2mrex2NQy5NSpUyraf27ykIc85CEPeRTrcerUqevyNykrK0sNDg6+Zu309PQscG78+PGXbQegLly4sNjtnj17turu7q6uWLHC6XxUVJTarl07FVCNRqParFkztX///mpERIReZtu2bWqDBg30Ml26dFG7deumdu3atdivf62VqR6h0NBQTp06hZeXF4qiXLJsamoqlSpV4tSpUzKf6Dz5TAqSz8SZfB4FyWfirDR9HqqqkpaWRmho6HWp383NjWPHjpGTk3NN6lNVtcDftmvdGzR37lyGDRvGvHnz6Nixo9O1atWqsW7dOjIyMkhNTSUkJIS+fftStWpVvUyTJk2IjIwkJSWFnJwcAgMDadGiBU2bNr2m7bwSZSoQMhgMVKxY8Yru8fb2vun/sd5o8pkUJJ+JM/k8CpLPxFlp+Tx8fHyua/1ubm4F5tXcrObMmcOjjz7K3LlznSZEX8zDwwMPDw+SkpJYvnw5H3zwQYEyeZ/r4cOH2bZtG2+99dZ1a/fllKlASAghhBCQnp5OVFSUfnzs2DEiIyPx8/PT5/FER0fz3XffAfDjjz8yaNAgPvvsM1q0aEFcXBygTYbOC2qWL1+OqqrUqlWLqKgoXnjhBSIiIhgyZIj+OvPmzSMwMJCwsDD27NnD008/TY8ePejcufMNfPfOZNWYEEIIUcZs27aNRo0a0ahRIwDGjBlDo0aNeP311wGIjY3l5MmTevmpU6eSm5vLiBEjCAkJ0R9PP/20XiYlJYURI0YQERHBwIEDadu2LcuXL8fFJT81QGxsLI888ggRERGMHj2aRx55hDlz5tygd1046REqgqurK+PHj78us+1LK/lMCpLPxJl8HgXJZ+JMPo+bQ/v27S+5Gm7mzJlOx2vXrr1snX369NFXkRVl9OjRjB49ujhNvGHKVEJFIYQQQogLydCYEEIIIcosCYSEEEIIUWZJICSEEEKIMksCISGEEEKUWRIIFdN9991HWFgYbm5uhISE8MgjjxATE1PSzSoRx48fZ+jQoVSpUgWLxUK1atUYP378NcuOWlq98847tG7dGnd3d3x9fUu6OSXiiy++oHLlyri5udGiRQu2bt1a0k0qMevXr6d79+6EhoaiKAqLFi0q6SaVqAkTJtCsWTO8vLwICgqiR48eHDx4sKSbJYQEQsXVoUMHfv75Zw4ePMj8+fM5cuQIvXr1KulmlYgDBw7gcDiYMmUK+/bt45NPPuHrr7/m5ZdfLummlaicnBx69+7N8OHDS7opJeKnn35izJgxjB8/nh07dtCgQQO6dOnC2bNnS7ppJSIjI4MGDRrwxRdflHRTbgrr1q1jxIgRbN68mRUrVmCz2ejcuTMZGRkl3TRRxsny+au0ZMkSevTogdVqdUoWVVZ9+OGHfPXVVxw9erSkm1LiZs6cyTPPPENycnJJN+WGatGiBc2aNWPy5MkAOBwOKlWqxKhRoxg7dmwJt65kKYrCwoUL6dGjR0k35aYRHx9PUFAQ69ato127diXdHFGGSY/QVUhMTGT27Nm0bt1agqDzUlJS8PPzK+lmiBKSk5PD9u3bnTZhNBgMdOzYkU2bNpVgy8TNKiUlBUC+N0SJk0DoCrz00kt4eHjg7+/PyZMnWbx4cUk36aYQFRXFpEmTeOKJJ0q6KaKEJCQkYLfbKV++vNP58uXL63sSCZHH4XDwzDPP0KZNG+rVq1fSzRFlXJkOhMaOHYuiKJd8HDhwQC//wgsvsHPnTv7880+MRiMDBw68ZIry0uZKPw+A6OhounbtSu/evXnsscdKqOXXz9V8JkKISxsxYgR79+5l7ty5Jd0UIcr2XmPPPfccgwcPvmSZqlWr6s8DAgIICAigZs2a1K5dm0qVKrF582ZatWp1nVt6Y1zp5xETE0OHDh1o3bo1U6dOvc6tKxlX+pmUVQEBARiNRs6cOeN0/syZMwQHB5dQq8TNaOTIkfz222+sX7+eihUrlnRzhCjbgVBgYCCBgYFXda/D4QDAarVeyyaVqCv5PKKjo+nQoQNNmjRhxowZGAy3Zufif/lvpCwxm800adKEVatW6ROCHQ4Hq1atYuTIkSXbOHFTUFWVUaNGsXDhQtauXUuVKlVKuklCAGU8ECquLVu28M8//9C2bVvKlSvHkSNHeO2116hWrdot0xt0JaKjo2nfvj3h4eFMnDiR+Ph4/VpZ/vV/8uRJEhMTOXnyJHa7ncjISACqV6+Op6dnyTbuBhgzZgyDBg2iadOmNG/enE8//ZSMjAyGDBlS0k0rEenp6URFRenHx44dIzIyEj8/P8LCwkqwZSVjxIgR/PjjjyxevBgvLy997piPjw8Wi6WEWyfKNFVc1u7du9UOHTqofn5+qqurq1q5cmX1ySefVE+fPl3STSsRM2bMUIFCH2XZoEGDCv1M1qxZU9JNu2EmTZqkhoWFqWazWW3evLm6efPmkm5SiVmzZk2h/z0MGjSopJtWIor6zpgxY0ZJN02UcZJHSAghhBBl1q05sUMIIYQQohgkEBJCCCFEmSWBkBBCCCHKLAmEhBBCCFFmSSAkhBBCiDJLAiEhhBBClFkSCAkhhBCizJJASIhSbPDgwfqWFgDt27fnmWeeKbH2FJeiKCxatKikmyGEEBIICVGYy+04/8Ybb3D8+HEURdG30sgzf/582rdvj4+PD56entSvX58333yTxMREp3JZWVn4+fkREBBwzfasW7BgAW+99dY1qet6io2NpVu3btf9Nfr160fNmjUxGAylIkAUQtx4EggJUYjY2Fj98emnn+Lt7e107vnnny/0vldeeYW+ffvSrFkzli1bxt69e/noo4/YtWsX33//vVPZ+fPnU7duXSIiIq5Z74ifnx9eXl7XpK7rKTg4GFdX1+v6GlarlcDAQF599VUaNGhwXV9LCFF6SSAkRCGCg4P1h4+PD4qiOJ0rbBPVrVu38u677/LRRx/x4Ycf0rp1aypXrkynTp2YP38+gwYNcio/ffp0BgwYwIABA5g+ffpl22S32xkzZgy+vr74+/vz4osvcvEOORcPjVWuXJm3336bgQMH4unpSXh4OEuWLCE+Pp77779f77Hatm2bUz0bN27k9ttvx2KxUKlSJUaPHk1GRoZTve+++y6PPvooXl5ehIWFMXXqVP16Tk4OI0eOJCQkBDc3N8LDw5kwYYJ+/eKhsT179nDnnXdisVjw9/fn8ccfJz09Xb+eNwQ4ceJEQkJC8Pf3Z8SIEdhstiI/r8qVK/PZZ58xcOBAfHx8Lvv5CiHKJgmEhLhGZs+ejaenJ0899VSh1319ffXnR44cYdOmTfTp04c+ffqwYcMGTpw4ccn6P/roI2bOnMm3337Lxo0bSUxMZOHChZdt1yeffEKbNm3YuXMn99xzD4888ggDBw5kwIAB7Nixg2rVqjFw4EA9qDpy5Ahdu3alZ8+e7N69m59++omNGzcycuTIAu1p2rQpO3fu5KmnnmL48OEcPHgQgM8//5wlS5bw888/c/DgQWbPnk3lypULbV9GRgZdunShXLly/PPPP8ybN4+VK1cWeL01a9Zw5MgR1qxZw6xZs5g5cyYzZ8687PsXQohLKtk9X4W4+c2YMUP18fEpcP7YsWMqoO7cuVNVVVXt1q2bWr9+/WLV+fLLL6s9evTQj++//351/Pjxl7wnJCRE/eCDD/Rjm82mVqxYUb3//vv1c3fccYf69NNP68fh4eHqgAED9OPY2FgVUF977TX93KZNm1RAjY2NVVVVVYcOHao+/vjjTq+9YcMG1WAwqFlZWYXW63A41KCgIPWrr75SVVVVR40apd55552qw+Eo9L0A6sKFC1VVVdWpU6eq5cqVU9PT0/Xrv//+u2owGNS4uDhVVVV10KBBanh4uJqbm6uX6d27t9q3b9+iP7ALXPy5CCFEHukREuIaUS8apiqK3W5n1qxZDBgwQD83YMAAZs6cicPhKPSelJQUYmNjadGihX7OZDLRtGnTy75e/fr19efly5cH4Lbbbitw7uzZswDs2rWLmTNn4unpqT+6dOmCw+Hg2LFjhdabN3SYV8fgwYOJjIykVq1ajB49mj///LPI9u3fv58GDRrg4eGhn2vTpg0Oh0PvYQKoW7cuRqNRPw4JCdFfTwghrpappBsgxK2iZs2abNy4EZvNhouLS5Hlli9fTnR0NH379nU6b7fbWbVqFZ06dbqm7bqwLYqiFHkuLwhLT0/niSeeYPTo0QXqCgsLK7TevHry6mjcuDHHjh1j2bJlrFy5kj59+tCxY0d++eWXa/I+Ln49IYS4WtIjJMQ10q9fP9LT0/nyyy8LvZ6cnAxok6QfeughIiMjnR4PPfRQkZOmfXx8CAkJYcuWLfq53Nxctm/ffs3fR+PGjfn333+pXr16gYfZbC52Pd7e3vTt25dp06bx008/MX/+/AIpBABq167Nrl27nCZj//XXXxgMBmrVqnVN3pMQQhRFeoSEuEZatGjBiy++yHPPPUd0dDQPPPAAoaGhREVF8fXXX9O2bVv69evHr7/+ypIlS6hXr57T/QMHDuSBBx4gMTERPz+/AvU//fTTvPfee9SoUYOIiAg+/vhjPbi6ll566SVatmzJyJEjGTZsGB4eHvz777+sWLGCyZMnF6uOjz/+mJCQEBo1aoTBYGDevHkEBwc7TRjP079/f8aPH8+gQYN44403iI+PZ9SoUTzyyCP6sN3VysvxlJ6eTnx8PJGRkZjNZurUqfOf6hVC3DokEBLiGnr//fdp0qQJX3zxBV9//TUOh4Nq1arRq1cvBg0axPTp0/Hw8OCuu+4qcO9dd92FxWLhhx9+KHRY6rnnniM2NpZBgwZhMBh49NFHeeCBB0hJSbmm76F+/fqsW7eOV155hdtvvx1VValWrVqBobxL8fLy4oMPPuDw4cMYjUaaNWvG0qVLMRgKdkK7u7uzfPlynn76aZo1a4a7uzs9e/bk448//s/vpVGjRvrz7du38+OPPxIeHs7x48f/c91CiFuDohZ3hqcQQgghxC1G5ggJIYQQosySQEgIIYQQZZYEQkIIIYQosyQQEkIIIUSZJYGQEEIIIcosCYSEEEIIUWZJICSEEEKIMksCISGEEEKUWRIICSGEEKLMkkBICCGEEGWWBEJCCCGEKLMkEBJCCCFEmfV/03uVZCs3sYcAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plotFES(0, 1, temperature=298, states=True)"
]
},
{
"cell_type": "markdown",
"id": "b102b2a7",
"metadata": {},
"source": [
"The bound state usually appears as a deep basin in one corner of TIC1 / TIC2; the bulk-solution state spreads across most of the projected area; the intermediates are shallow basins between them.\n",
"\n",
"To overlay representative protein + ligand snapshots from each macrostate, run `model.viewStates(ligand=\"resname MOL and noh\")` from an interactive session - it launches VMD. (Omitted here because it needs a display.)\n",
"\n",
"## Step 6 - Kinetics + Kd"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "d6f4ca08",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:49.228989Z",
"iopub.status.busy": "2026-06-02T15:43:49.228875Z",
"iopub.status.idle": "2026-06-02T15:43:49.625273Z",
"shell.execute_reply": "2026-06-02T15:43:49.624569Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Detecting source state...\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Guessing the source state as the state with minimum contacts.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Source macro = 2\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Detecting sink state...\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Sink macro = 4\n"
]
}
],
"source": [
"kin = Kinetics(model, temperature=298, concentration=0.0037)"
]
},
{
"cell_type": "markdown",
"id": "d7fabc73",
"metadata": {},
"source": [
"`concentration=0.0037` mol/L is the effective bulk ligand concentration in this simulation box (one ligand in the periodic box of this volume). {py:class}`~htmd.kinetics.Kinetics` uses it to convert the simulated rates into experimental units - **kon** (M⁻¹ s⁻¹), **koff** (s⁻¹), and **Kd = koff / kon**."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "9581e546",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:49.626911Z",
"iopub.status.busy": "2026-06-02T15:43:49.626735Z",
"iopub.status.idle": "2026-06-02T15:43:49.707456Z",
"shell.execute_reply": "2026-06-02T15:43:49.706981Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Calculating rates between source: [np.int64(2)] and sink: [np.int64(4)] states.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"htmd.kinetics - INFO - Concentration correction of -3.32 kcal/mol.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"mfpton = 7.88E+02 (ns)\n",
"mfptoff = 6.80E+03 (ns)\n",
"kon = 3.43E+08 (1/M 1/s)\n",
"koff = 1.47E+05 (1/s)\n",
"koff/kon = 4.29E-04 (M)\n",
"kdeq = 3.58E-04 (M)\n",
"g0eq = -4.70 (kcal/M)\n",
"\n"
]
}
],
"source": [
"r = kin.getRates()\n",
"print(r)"
]
},
{
"cell_type": "markdown",
"id": "d8bfe213",
"metadata": {},
"source": [
"{py:meth}`~htmd.kinetics.Kinetics.getRates` returns a single `Rates` object for the auto-detected source → sink pair (bulk → bound here). It carries the MFPT, rate, and kon / koff / Kd. Match against the experimental Kd to validate the model. Use `kin.plotRates()` (below) for an all-pairs visualisation, or call `getRates(source=..., sink=...)` explicitly for other pairings."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "bf6202ff",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:49.715387Z",
"iopub.status.busy": "2026-06-02T15:43:49.715229Z",
"iopub.status.idle": "2026-06-02T15:43:52.101792Z",
"shell.execute_reply": "2026-06-02T15:43:52.101170Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kin.plotRates()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "65039ad2",
"metadata": {
"execution": {
"iopub.execute_input": "2026-06-02T15:43:52.104145Z",
"iopub.status.busy": "2026-06-02T15:43:52.104029Z",
"iopub.status.idle": "2026-06-02T15:43:52.336375Z",
"shell.execute_reply": "2026-06-02T15:43:52.335802Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
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{
"name": "stdout",
"output_type": "stream",
"text": [
"Path flux\t\t%path\t%of total\tpath\n",
"0.00038753881932143707\t55.4%\t55.4%\t\t[2 4]\n",
"0.00029093136484922627\t41.6%\t97.0%\t\t[2 3 4]\n",
"2.0777315285460142e-05\t3.0%\t100.0%\t\t[2 1 4]\n"
]
}
],
"source": [
"kin.plotFluxPathways()"
]
},
{
"cell_type": "markdown",
"id": "a756b59e",
"metadata": {},
"source": [
"The flux pathways show which intermediates the ligand visits on the way from solution to the bound pocket - useful for understanding the binding mechanism (e.g. is there a kinetic trap on the surface? Does the ligand approach from a specific direction?).\n",
"\n",
"## Parameters that matter\n",
"\n",
"| Knob | Effect |\n",
"| --- | --- |\n",
"| `MetricDistance(sel1, sel2, ... metric=\"contacts\")` | Coarse but the right default for binding - thresholding collapses the huge unbound bulk region into a single \"no contacts\" state. `metric=\"distances\"` would spread that bulk across thousands of useless microstates and overwhelm the bound-state resolution. |\n",
"| `threshold` on `MetricDistance` | Default 8 Å. Lower (e.g. 5 Å) tightens what counts as \"in contact\" and emphasises tighter poses; higher dilates the bound basin. |\n",
"| `concentration` on `Kinetics` | Critical for **kon** and **Kd**. Compute it as (nligands / nwaters) · 55.4 mol/L - the water count tracks the real bulk volume more accurately than the box volume, which over-counts because it includes the protein's excluded volume. |\n",
"| `periodic=\"selections\"` on the projection | **Essential** when the ligand wraps through the box during the trajectory. Skipping it produces nonsense contacts at PBC crossings. |\n",
"| `model.markovModel(lag, macronum)` `macronum` | More macrostates → more pathway resolution but harder to interpret. 4-6 is typical for binding. |\n",
"\n",
"## Gotchas\n",
"\n",
"- **The bulk state is huge and unstructured.** With `metric=\"contacts\"` the unbound bulk collapses to essentially a single microstate (all-zero contact vector), which is exactly what you want for binding analysis. Don't over-interpret intermediate basins that have very small populations - they may be undersampled.\n",
"- **Bound-state validation.** Before trusting Kd, open `viewStates(ligand=...)` and confirm the bound macrostate actually puts the ligand in the experimental pocket. If it's binding to the wrong site, your model is sampling a metastable mis-pose.\n",
"- **Symmetric ligands.** Benzamidine is roughly C₂v-symmetric; for ligands without that symmetry, atom-pair distances can flip when the ligand rotates 180°. Either symmetrise the contact features manually or accept that the model will distinguish the two flipped orientations as separate states.\n",
"\n",
"## See also\n",
"\n",
"- {doc}`MSM workflow explanation <../../explanation/msm-workflow>` - what's happening under the hood.\n",
"- {doc}`Protein folding MSM ` - same pipeline, different projection.\n",
"- {doc}`Adaptive sampling <../adaptive/index>` - how the binding trajectory set was generated (random starting poses + adaptive sampling targeting under-explored regions)."
]
}
],
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