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uni/year4/semester2/CS4423/materials/notebooks/CS4423-W01-2.ipynb

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"<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
"<div class=\"toc\"><ul class=\"toc-item\"><li><ul class=\"toc-item\"><li><span><a href=\"#CS4423---Networks\" data-toc-modified-id=\"CS4423---Networks-0.1\"><span class=\"toc-item-num\">0.1&nbsp;&nbsp;</span>CS4423 - Networks</a></span></li></ul></li><li><span><a href=\"#News\" data-toc-modified-id=\"News-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>News</a></span></li><li><span><a href=\"#Graphs\" data-toc-modified-id=\"Graphs-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Graphs</a></span><ul class=\"toc-item\"><li><span><a href=\"#An-example:-the-Internet-(circa-1970)\" data-toc-modified-id=\"An-example:-the-Internet-(circa-1970)-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>An example: the Internet (circa 1970)</a></span></li></ul></li><li><span><a href=\"#Simple-Graphs\" data-toc-modified-id=\"Simple-Graphs-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Simple Graphs</a></span></li><li><span><a href=\"#Simple-Graphs-in-networkx\" data-toc-modified-id=\"Simple-Graphs-in-networkx-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>Simple Graphs in <code>networkx</code></a></span><ul class=\"toc-item\"><li><span><a href=\"#Importing-the-package\" data-toc-modified-id=\"Importing-the-package-4.1\"><span class=\"toc-item-num\">4.1&nbsp;&nbsp;</span>Importing the package</a></span></li><li><span><a href=\"#Making-a-graph:\" data-toc-modified-id=\"Making-a-graph:-4.2\"><span class=\"toc-item-num\">4.2&nbsp;&nbsp;</span>Making a graph:</a></span></li><li><span><a href=\"#Adding-and-removing-nodes-and-edges\" data-toc-modified-id=\"Adding-and-removing-nodes-and-edges-4.3\"><span class=\"toc-item-num\">4.3&nbsp;&nbsp;</span>Adding and removing nodes and edges</a></span></li><li><span><a href=\"#Subgraphs-and-Induced-subgraphs\" data-toc-modified-id=\"Subgraphs-and-Induced-subgraphs-4.4\"><span class=\"toc-item-num\">4.4&nbsp;&nbsp;</span>Subgraphs and Induced subgraphs</a></span></li></ul></li><li><span><a href=\"#Important-Graphs\" data-toc-modified-id=\"Important-Graphs-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>Important Graphs</a></span><ul class=\"toc-item\"><li><span><a href=\"#Complete-Graphs\" data-toc-modified-id=\"Complete-Graphs-5.1\"><span class=\"toc-item-num\">5.1&nbsp;&nbsp;</span>Complete Graphs</a></span></li><li><span><a href=\"#Petersen-Graph\" data-toc-modified-id=\"Petersen-Graph-5.2\"><span class=\"toc-item-num\">5.2&nbsp;&nbsp;</span>Petersen Graph</a></span></li></ul></li><li><span><a href=\"#Code-Corner\" data-toc-modified-id=\"Code-Corner-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>Code Corner</a></span><ul class=\"toc-item\"><li><span><a href=\"#python\" data-toc-modified-id=\"python-6.1\"><span class=\"toc-item-num\">6.1&nbsp;&nbsp;</span><code>python</code></a></span></li><li><span><a href=\"#networkx\" data-toc-modified-id=\"networkx-6.2\"><span class=\"toc-item-num\">6.2&nbsp;&nbsp;</span><code>networkx</code></a></span></li><li><span><a href=\"#itertools\" data-toc-modified-id=\"itertools-6.3\"><span class=\"toc-item-num\">6.3&nbsp;&nbsp;</span><code>itertools</code></a></span></li></ul></li></ul></div>"
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"### CS4423 - Networks\n",
"Niall Madden, \n",
"School of Mathematical and Statistical Sciences \n",
"University of Galway\n",
"\n",
"(These notes are adapted from Angela Carnecale's work)\n",
"\n",
"This notebook is at: https://www.niallmadden.ie/2425-CS4423/W01/CS4423-W01-2.ipynb\n",
"\n",
"# Week 1, Lecture 2: \n",
"# Graphs and `networkx`"
]
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"source": [
"import networkx as nx"
]
},
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"source": [
"## News\n",
"\n",
"1. Still working on confirming the lab times. We'll certainly have a lab session, Wednesday at 10am in CA116a.\n",
"\n",
"Tuesday at 4 in AC215 is suboptimal... let's see if we can improve on that...\n",
"\n",
"After that, we'll review some of the slides I didn't cover on Wednesday (see https://universityofgalway.instructure.com/courses/31889/files?preview=2325934)"
]
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"## Graphs\n",
"\n",
"\n",
"A **graph** can serve as a mathematical model of a network.\n",
"\n",
"Later, we will use the `networkx` package to work with examples of graphs and networks.\n",
"\n",
"This notebook gives an introduction into graph theory, along with some basic, useful\n",
" `networkx` commands.\n",
"\n"
]
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"source": [
"### An example: the Internet (circa 1970)"
]
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"**Example.** The internet (more precisely, [ARPANET](https://en.wikipedia.org/wiki/ARPANET)) in December 1970. Nodes are computers,\n",
"connected by a link if they can directly communicate with each other.\n",
"At the time, only 13 computers participated in that network. \n",
"\n",
"![the internet in december 1970](https://d1vq4hxutb7n2b.cloudfront.net/system/files/53b5c1/66342b8248f70002ea/h_1536/f7dec1970.jpg)"
]
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"text": [
"UCSB SRI UCLA\r\n",
"SRI UCLA STAN UTAH\r\n",
"UCLA STAN RAND\r\n",
"UTAH SDC MIT\r\n",
"RAND SDC BBN\r\n",
"MIT BBN LINC\r\n",
"BBN HARV\r\n",
"LINC CASE\r\n",
"HARV CARN\r\n",
"CASE CARN\r\n"
]
}
],
"source": [
"!cat ../data/arpa.adj"
]
},
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"The very first ARPANET network was even smaller, with node 1 being [UCLA](https://100.ucla.edu/timeline/the-internets-first-message-sent-from-ucla) and node 2 being SRI. The first ever message was sent on 29 October 1969. The intended message was \"Login\" but things didn't quite work and the computers crashed just after the more prophetic message \"Lo\" was displayed..."
]
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"The following **diagram**, built from the adjacencies in the list,\n",
"contains the same information, without the distracting details of the\n",
"US geography! (This is actually an important point: networks reflect only the *topology* of the object being studied). Also - don't worry about the syntax: we'll come back to that later!"
]
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"H = nx.read_adjlist(\"../data/arpa.adj\")\n",
"opts = { \"with_labels\": True, \"node_color\": 'y' }\n",
"nx.draw(H, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Simple Graphs\n",
"\n",
"\n",
"**Definition.** A (simple) **graph**\n",
"is a pair $G = (X, E)$, consisting of a (finite) set $X$ of\n",
" objects, called **nodes** or **vertices** or **points**,\n",
"and $E$ is the of **links** or **edges**; every edge is a set consisting of two different vertices.\n",
" \n",
"We can also write $E \\subseteq \\binom{X}{2}$, where $\\binom{X}{2}$, pronounced as \"_$X$ choose 2_\", is the set of all $2$-element subsets of $X$. "
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Usually, $n$ is used to denote the number of vertices of a graph,\n",
"$n = |X|$,\n",
"and $m$ for the number of edges, $m = |E|$.\n",
"\n",
"$n = |X|$ is called the **order** of the graph $G$, and $m = |E|$ is called the **size** of $G$.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"source": [
"The notation $\\binom{X}{2}$ for the set of all $2$-element subsets of $X$ is \n",
"motivated by the fact that if $X$ has $n$ elements then\n",
"$\\binom{X}{2}$ has $\\binom{n}{2} = \\frac{1}{2} n(n-1)$ elements:\n",
"$$\\left|\\binom{X}{2}\\right| = \\binom{|X|}{2}.$$\n",
"Obviously, $m \\leq \\binom{n}{2}$."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"**Example.**\n",
"\n",
"$G=(X,E)$ with $X = \\{ A, B, C, D \\}$ and $E = \\{ \\{AB\\}, \\{BC\\}, \\{BD\\}, \\{CD\\} \\}$. \n",
"**Notation:** usually we'll be a bit lazy and write $\\{ A, B \\}$) as just $AB$. So $E = \\{ AB, BC, BD, CD \\}$. \n",
"\n",
"So $G$ is a graph of order $4$ and size $4$."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "notes"
}
},
"outputs": [],
"source": [
"G = nx.Graph()\n",
"G.add_edges_from([('A', 'B'), ('B', 'C'), ('B', 'D'), ('C', 'D')])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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/iaDEOfn4+Kht27ZKSUlRRkaGXn75ZX377be68847de2112rixIn67bffTM8EALiZw4cPa/Lkybr22mvVvn177d69W/Hx8crIyND06dPVtGlT0xOdkp+fr4yMDILyf/AeSlwyh8Oh9evXKyEhQcuWLZPD4VCnTp1ktVp155138uZkACjBvv32W8XHxyslJUWFhYXq0qWL4uLi9O9//9ur3otvs9lUu3ZtrV69Wvfdd5/pOW6DoMQVycrK0sKFC5WQkKDt27erfv36iomJUVRUlGrWrGl6HgCgGGRnZ+uNN97QjBkztHHjRtWuXVv9+vVT7969vfbXgs8//1y33367fv75ZzVp0sT0HLfBJSVckerVq2vIkCHaunWrPvvsM7Vu3VqjRo1ScHCwHnvsMX344YcqLCw0PRMAUAR++eUXPfnkkwoKClKfPn1Uo0YNvfvuu9q1a5eeeeYZr41J6c9PyfG0G4mKGkEJp1gsFt12221auHCh7Ha7Jk6cqJ9//ln33HOPGjRooAkTJujXX381PRMA4KT8/Hy99dZbuvfee9WwYUMtWLBAMTEx2rlzp1atWqWOHTuqVKlSpmcWOZvNpqpVq6pixYqmp7gVghIuU61aNQ0aNEhbtmzRF198odtvv10vvviiQkJC1KVLF61du5arlgDgYX799VeNHTtWoaGhevTRR3Xs2DEtXLhQ6enpeuWVV1S3bl3TE4sVd3ifG++hRJE6fPiwFi9erFmzZmnLli2qU6eOYmJi1KtXLwUEBJieBwA4h7M3Yc6YMUPLly9XmTJlFBERodjYWN1www2m5xnVsWNH+fj46J133jE9xa0QlCgWDodD33zzjRISEvTGG28oLy9PDz74oKxWq9q3b18iXiYBAHd37NgxJSUlKT4+Xlu3blWjRo0UFxenHj16qEqVKqbnuYVmzZqpTZs2mj59uukpboWXvFEsLBaLbrnlFs2dO1eZmZmaOnWqdu/erQ4dOqhu3bp66aWXlJGRYXomAJRIP/74o2JjYxUYGKjBgwerSZMm+vjjj7Vt2zYNGjSImPwLXvI+N65QwhiHw6GNGzcqISFBKSkpysnJUceOHWW1WnXfffdx1RIAilBubq6WL1+u+Ph4ffHFFwoMDJTValV0dLSCgoJMz3NLR48eVZUqVZSSkqJu3bqZnuNWuEIJYywWi2666SYlJiYqMzNT8fHxSktLU8eOHRUaGqoXX3xRaWlppmcCgFfZu3evnnvuOYWEhCgiIkJ+fn5atmyZ9u7dq9GjRxOTF3D21ySuUP4TVyjhdr777jslJCQoOTlZp06dUocOHWS1WnX//ffL19fX9DwA8DiFhYVas2aN4uPjtXLlSlWqVElRUVHq16+frr32WtPzPMaqVav0wAMPKC0tTcHBwabnuBWuUMLttGzZUrNmzZLdbtfMmTP166+/6qGHHlKdOnU0atQo7du3z/REAPAIBw8e1GuvvaYGDRqoQ4cOysjIUEJCgjIyMjRlyhRi8jLZbDaVKlWKU0rOgaCE26pYsaJiYmK0ceNGfffdd3rwwQc1ZcoUhYaGqkOHDnrrrbd0+vRp0zMBwK04HA59/fXX6tGjh4KDgzVy5Ejddttt+vrrr/Xdd98pOjpa5cuXNz3TI9lsNgUHB/Me/3PgJW94lBMnTmjJkiVKSEjQhg0bFBAQoN69eys6Olp16tQxPQ8AjDl58qRSUlIUHx+vH374QXXr1lW/fv3Uq1cv1ahRw/Q8rxAZGSmbzab169ebnuJ2CEp4rM2bN2v27NlKSkrS8ePH1b59e1mtVj344IMqXbq06XkAUCy2b9+uGTNmaMGCBTp27Jg6duyouLg4tW/fXj4+vBDpSm3atFGtWrW0aNEi01PcDv+mwWM1b95c06dPl91u19y5c3Xs2DF17txZISEheu6557R7927TEwGgSJw+fVrLly9Xu3bt1LhxY6WkpKh///7as2eP3nnnHd13333EZBHgDMrz4982eLzy5csrKipKX375pX788Uc99thjio+PV7169dS+fXv93//9n/Ly8kzPBACnZWRk6IUXXlDt2rXVpUsX5eXlKTk5WWlpaRo3bpxq165teqLXKigoUHp6OkF5HgQlvMr111+vqVOnym63a8GCBTp16pQee+wxBQcHa/jw4dq5c6fpiQBwWRwOhz7++GN16dJFtWvX1qRJk/Twww9r8+bN+uyzzxQWFqayZcuanun1MjMzVVBQQFCeB0EJr1SuXDn16NFDn3/+ubZs2aLw8HDNnj1bDRo0ULt27bRkyRLl5uaangkA53XkyBH997//VePGjdWuXTtt375dU6dOVUZGhmbMmKFmzZqZnlii2Gw2SRxqfj4EJbxe06ZNNWXKFGVkZCgpKUn5+fnq1q2bgoODNWzYMKWmppqeCAB/+P777xUTE6PAwEA99dRTuuGGG7Ru3Tr99NNPiouLU6VKlUxPLJEIygsjKFFi+Pv7KzIyUuvWrdPWrVvVo0cPzZ07V40aNVLbtm2VkpLCVUsARuTk5GjhwoVq3bq1WrZsqTVr1mjEiBFKS0tTSkqK2rRpI4vFYnpmiWaz2VS5cmWC/jwISpRIjRs31qRJk5SRkaHk5GRJUnh4uIKCgvTkk09q+/bthhcCKAl27dqlp59+WsHBwerZs6cqV66st956S7t379aIESN0zTXXmJ6I33GH94VxDiXwux07digxMVHz58/XwYMH1aZNG1mtVnXu3Fl+fn6m5wHwEgUFBVq1apXi4+O1Zs0aValSRb1791bfvn3VoEED0/NwHg899JAKCwv13nvvmZ7ilrhCCfyuUaNGeu2115Senq433nhDvr6+ioyMVGBgoIYMGaKtW7eangjAgx04cEDjx49XvXr19NBDD+nQoUOaO3euMjIyNHHiRGLSzXGF8sIISuB/lC1bVo8//rg++ugjpaamKiYmRosXL1bTpk112223aeHChcrOzjY9E4AHcDgc+vzzzxUeHq7g4GCNGTNG7dq108aNG/XNN98oKipK/v7+pmfiEhCUF0ZQAhfQoEEDvfLKK0pPT9fSpUvl7++vnj17KjAwUIMGDdKWLVtMTwTgho4fP66ZM2eqefPmuv322/Xtt9/q1Vdfld1u15w5c3TjjTeanojLcPz4cR0+fJigvACCErgEZcqUUdeuXfXBBx9o586d6tevn5YuXarrr79e//73vzV//nydOnXK9EwAhm3ZskX9+/dXUFCQ+vfvr/r16+uDDz7Q9u3b9cQTT6hq1aqmJ+IKpKWlSeLIoAshKIHLVK9ePY0fP15paWlavny5KlWqpN69eyswMFADBgzQ5s2bTU8EUIzy8vK0ZMkS3XHHHbr++uv15ptv6oknntDevXv15ptv6u677+ZztT0cZ1BeHP+GA1eodOnS6tSpk95//33t2rVLAwYM0PLly9WiRQvdcsstmjt3rk6ePGl6JoAiYrPZ9Pzzz6tWrVrq1q2bfHx8tHTpUtlsNo0ZM0YhISGmJ8JFbDabfHx8FBgYaHqK2yIoARcIDQ3V2LFjZbPZtGLFClWrVk3R0dEKCAhQbGysfvjhB9MTAbhAYWGh1q5dq0ceeUShoaGaNm2aunbtqp9//lmffPKJunbtqtKlS5ueCRez2WwKCgqSr6+v6Slui3MogSKyb98+zZkzR3PmzJHdbteNN94oq9Wqbt26qWLFiqbnAbgMhw4d0rx58zRz5kzt3LlTzZo1U//+/RUeHq4KFSqYnoci1qNHD+3evVuff/656Slui6AEilh+fr5WrVql2bNna9WqVSpXrpzCw8NltVrVsmVL0/MAXMDGjRsVHx+vN954Q4WFheratavi4uLUunVrPgqxBLnzzjsVGBj4xyer4Z94yRsoYr6+vnrooYf07rvvau/evXrqqae0atUq3XjjjWrZsqVmzZqlY8eOmZ4J4HenTp3S3Llz1apVK91000369NNP9cILLyg9PV2LFi3Sv//9b2KyhOEMyosjKIFiFBISotGjR2vv3r167733FBwcrLi4OAUGBiomJkYbN24ULxoAZqSmpmro0KEKCgpSdHS0atasqffee087d+7U8OHDddVVV5meCAMKCgqUnp5OUF4EL3kDhqWnp2vevHlKTEyUzWZT8+bNZbVaFRERocqVK5ueB3i1/Px8vfvuu5oxY4Y++OAD1ahRQ3369FHfvn0VGhpqeh7cgN1uV1BQkN5991117NjR9By3xRVKwLDg4GCNHDlSu3fv1qpVqxQaGqpBgwYpMDBQvXv31tdff81VS8DFMjMz9dJLL6lOnTrq1KmTTpw4oaSkJKWlpWnChAnEJP7AGZSXhiuUgBuy2+1/XLXcu3evrr/+elmtVkVGRqpKlSqm5wEeyeFwaP369YqPj9ebb76pMmXKKDIyUrGxsWrRooXpeXBTS5cu1eOPP67Dhw/z398L4Aol4IYCAwM1YsQI7dq1S2vWrFHDhg01ZMgQBQYGKioqSl9++SVXLYFLdPToUU2fPl3XXXed7rzzTv3444/6z3/+I7vdrlmzZhGTuCCbzaaKFSvyFqSLICgBN+bj46P27dtr2bJlSktL06hRo/TZZ5/p1ltv1fXXX6+pU6fq8OHDpmcCbmnz5s3q16+fgoKCNGTIEDVt2lSffPKJtm7dqoEDBxIIuCRn7/Dmzv4L4yVvwMMUFhbq448/VkJCglasWCFfX1917dpVVqtVt956K//RQ4mWm5urZcuWKT4+Xl9++aUCAwPVt29fRUdH87F5uCKPPPKI8vLytGrVKtNT3BpXKAEP4+Pjo7vvvltLly5Venq6XnzxRX355Ze6/fbb1bRpU02ZMkVZWVmmZwLFau/evXr22WcVHBysyMhIlStXTm+++ab27dunUaNGEZO4YpxBeWkISsCDXX311Xr66aeVmpqqjz76SM2aNdPTTz+toKAgRUREaN26dbzXEl6roKBAq1atUseOHVW3bl3NmDFDkZGR2r59uz744AM9+uijfPYynEZQXhqCEvACPj4+uuuuu/TGG28oIyNDY8eO1caNG3XnnXeqcePGmjRpkg4ePGh6JuASBw8e1KuvvqoGDRrogQceUGZmphITE2W32zV58mQ1atTI9ER4iZMnTyorK4ugvAS8hxLwUg6HQ+vWrVNCQoKWL18uSerUqZOsVqvuvPNO3msJj+JwOPT1118rPj5eS5culcViUbdu3RQXF6dWrVrx7zOKxPbt29W4cWOtW7dObdq0MT3HrRGUQAlw8OBBJSUlKSEhQdu3b1eDBg0UExOjnj17qmbNmqbnAed18uRJJScnKz4+Xps2bVK9evUUGxurqKgoVa9e3fQ8eLm1a9fq3nvv1Z49e1SnTh3Tc9waL3kDJUCNGjU0ZMgQbd26VevXr9fNN9+skSNHKjg4WI8//rg++ugjFRYWmp4J/GHbtm1/fGJUv379VKtWLb3//vtKTU3Vk08+SUyiWNhsNlksFgUFBZme4vYISqAEsVgsuv3225WUlCS73a7XXntNW7Zs0d13360GDRpowoQJ+vXXX03PRAl1+vRpLVu2THfddZeaNGmiJUuWaODAgdqzZ4/efvtt3XvvvfLx4ZctFB+bzabAwECVLl3a9BS3x0veQAnncDj05ZdfKiEhQUuXLlV+fr4efvhhWa1W3X333fwCjiKXnp6u2bNna/bs2crMzNTtt9+uuLg4derUSWXKlDE9DyVYVFSUUlNT9eWXX5qe4vYISgB/OHz4sBYtWqSEhARt2bJFoaGhio6OVq9evRQQEGB6HryIw+HQRx99pBkzZujtt9+Wv7+/evToodjYWF133XWm5wGSpLvuuks1a9bUG2+8YXqK2+PSA4A/VK1aVQMHDtSPP/6or776SnfeeafGjh2rkJAQderUSe+//74KCgpMz4QHO3z4sKZMmaJrr71W99xzj1JTUzVt2jTZ7Xa9/vrrxCTcis1mU+3atU3P8AgEJYB/sFgsuuWWWzR37lzZ7XZNnTpVu3bt0v3336969epp7NixysjIMD0THuS7775TdHS0goKC9PTTT6tly5Zav369fvzxR8XGxqpixYqmJwJ/U1hYqLS0NM6gvES85A3gkjgcDm3cuFEJCQlKSUlRbm6uHnjgAVmtVt13330qVaqU6YlwM9nZ2Vq6dKni4+O1YcMGhYSEqF+/furTp4+uvvpq0/OAC/r1118VEBCgd955Rw8++KDpOW6PK5QALonFYtFNN92kxMREZWZmavr06bLZbOrYsaNCQ0P14osvKj093fRMuIFdu3Zp2LBhCg4OVlRUlKpVq6a3335be/bs0XPPPUdMwiPYbDZJ4grlJeIKJYAr5nA49N133ykhIUHJycnKzs5Whw4dZLVadf/99/M5yiVIQUGBVq5cqfj4eK1Zs0bVqlVT79691bdvX9WvX9/0POCyLVu2TF27dtWhQ4dUtWpV03PcHlcoAVwxi8WiG2+8UQkJCcrMzNTMmTP166+/6qGHHlKdOnU0evToP36XD++0f/9+vfzyy6pbt64efvhhHTlyRPPnz1d6erpee+01YhIey2azqUKFCqpSpYrpKR6BK5QAXO7777/X7NmztXjxYp04cUL333+/rFarHnjgAa5aegGHw6HPP/9c8fHxWr58uXx9fRUeHq7Y2Fi1bNnS9DzAJQYPHqwPP/xQP//8s+kpHoGgBFBkTpw4oSVLlighIUEbNmxQYGCgevfurT59+vC5uB7o+PHjWrRokeLj47VlyxY1bNhQsbGx6tmzJy8Jwus8+uijysnJ0erVq01P8Qi85A2gyFSoUEF9+vTRN998ox9++EGPPPKIpk6dqrp16+r+++/XihUrdPr0adMzcRE//fST4uLiFBgYqIEDB6phw4b68MMPtX37dj3xxBPEJLySzWbjhpzLQFACKBYtWrTQ66+/Lrvdrjlz5ujIkSPq1KmTatWqpeeee067d+82PRF/kZeXpzfeeENt2rRRs2bN9NZbb2no0KHau3evli9frnbt2slisZieCRQZgvLyEJQAilX58uXVq1cvffXVV9q8ebO6dOmi+Ph41atXT+3bt9eyZcuUl5dnemaJZbPZNGLECIWEhCgsLEy+vr76v//7P+3bt08vvviigoODTU8EitypU6d08OBBgvIyEJQAjGnWrNkfH7s3f/58nTx5Ul27dlVISIieeeYZ7dy50/TEEqGwsFBr1qzRww8/rNDQUE2fPl2PP/64tm7dqo8//lhdunRR6dKlTc8Eik1aWpokzqC8HAQlAOPKlSunnj176osvvtCWLVsUFhamWbNmqUGDBrr77ru1dOlSrloWgaysLE2cOFENGzbUfffdJ5vNppkzZyojI0NTp05V48aNTU8EjOBQ88tHUAJwK02bNtWUKVNkt9uVlJSkvLw8Pf744woODtbTTz+t1NRU0xM9msPh0IYNGxQVFaWgoCCNGDFCrVu31pdffqnvv/9eMTExqlChgumZgFE2m00Wi0VBQUGmp3gMghKAW/L391dkZKTWr1+vrVu3KjIyUnPmzFGjRo101113/fF54rg0p06d0pw5c9SqVSvdfPPNWr9+vcaMGaP09HQlJSWpdevW3GQD/M5msykgIEBlypQxPcVjEJQA3F7jxo31n//8RxkZGVq8eLEKCwsVHh6uoKAgPfnkk9q+fbvpiW5rx44dGjJkiIKCghQTE6OAgACtXLlSv/zyi55++mldddVVpicCboc7vC8fB5sD8Eg7duzQ7NmzNX/+fGVlZalNmzayWq3q3Lmz/Pz8TM8zKj8/X++8845mzJihDz/8UDVq1FB0dLSsVqtCQ0NNzwPcXrt27VSjRg0tWbLE9BSPwRVKAB6pUaNGmjhxojIyMpSSkiJfX19FRkYqKChIQ4YM0datW01PLHZ2u11jxoxRnTp11LlzZ2VnZ2vRokVKT0/X+PHjiUngEnGF8vJxhRKA1/jll1+UmJioefPm6bffftNtt90mq9WqLl26yN/fv1g25OefUHb2TjkcubJYysrfv758fYvuJheHw6FPP/1U8fHxeuutt1S2bFlFRkYqNjZWzZs3L7LnBbxVYWGhypUrp9dee00DBw40PcdjEJQAvE5eXp7efvttJSQk6MMPP1SVKlXUo0cPxcTE6LrrrnP58508uVV2+0xlZa1STs5uSX/9z6pFfn51Vb16BwUG9lP58k1c8pxHjx7VwoULNWPGDG3btk2NGzdWXFycunfvrsqVK7vkOYCSaP/+/brmmmv01ltv6eGHHzY9x2MQlAC82q5du5SYmKi5c+fqwIEDat26tfr27auuXbuqXLlyTj12dvYepab21eHDH0jylZR/ge8+8/WqVe9Rw4az5O9/ZS8/b9q0STNmzNCiRYuUl5enTp06KS4uTm3atOEubcAFNm7cqJtuuknff/+9brjhBtNzPAZBCaBEyMvL07vvvquEhAStXbtWlStXVvfu3RUTE6NmzZpd9uPZ7YnauXOgCgvzdeGQ/F++8vHxVf360xQYGH1JP5GTk6Nly5YpPj5eX331lYKDg2W1WhUdHa2AgIDL3g7g/JYvX64uXbro4MGDql69uuk5HoObcgCUCGXKlFHnzp21Zs0a7d69W/3799eyZcvUvHlz3XLLLZo7d65Onjx5SY+1b984pabGqLAwR5cXk5KUr8LCHKWmxmjfvnEX/M49e/bomWeeUUhIiLp3764KFSpoxYoV2rNnj0aOHElMAkXAZrOpXLlyqlatmukpHoWgBFDihIaGaty4cbLZbFqxYoWqVaum6OhoBQYGKi4uTps2bTrvz9rtidqz53mX7Niz53llZs75218rKCjQypUr9cADD6hevXqaNWuWunfvrh07dmjt2rV65JFH5Ovr65LnB/BPZ+/w5i0kl4eXvAFA0r59+zRnzhzNmTNHdrtdrVq1ktVqVbdu3f74KMLs7D3auLHJ71cm/+7996VXXvn7X6tcWapTR3r8cal163M/r4+Pn1q12qoTJypozpw5mjVrlvbu3auWLVuqf//+evzxx51+ryeAS9e5c2edOHFCa9asMT3FoxCUAPAX+fn5WrVqlRISErRq1SqVL19eERERslqtKlXqGR0+/InO9TL32aAcPlyqVUtyOKRDh6QVK6QffpDGjZP+/e9zPWMppadfpT59DsnHx0fdunVTXFycWrVqVdT/rwI4h1atWqlFixaaPXu26SkehZe8AeAvfH199dBDD+m9997T3r179eSTT+q9995Tp04tf7+b+8LvmQwNlZo0kZo2lW6/XRo/XipdWvroo/P9RIGCg3/V5MlPKCMjQ/PmzSMmAYM41PzKEJQAcB61atXSCy+8oL179yohoaMKCy//PVVlypwJygu/7dFX99yTzU0AgGHZ2dk6cOAAQXkFCEoAuAhfX19VqrRNPj4Xf4dQQcGZP/Lzpd9+k6ZPl3JypHbtLvRT+crKWu2yvQCuTHp6uiQRlFeAWwUB4CLy84///gk4F9e//9//vHRpadAg6aabLvxzOTm7lJ9/okg/phHAhdlsNkkE5ZUgKAHgIrKzd+nvH6d4fs8+K9Wufeb/PnpU+uwz6b//lQoLpUcfvdBPOpSdvVMVK7Zwci2AK3U2KIODgw0v8TwEJQBchMORe8nfW7u21KjRn39+003S/v3SrFnSPfdIFS5wAfJyngeA69lsNl1zzTUqW7as6Skeh/dQAsBFWCzO/eJSt66UmyulpRXt8wBwDnd4XzmCEgAuwt+/vqQr/9SMXbvO/G+VKhf6LsvvzwPAFILyyvGSNwBchK9vBfn51VVOzq6Lfu+ePWfu8pb+fA/lt9+eOZPyQh+97edXjxtyAMNsNpuaNWtmeoZHIigB4BJUr95BGRkzdLGDzf/68Yvly5+JyLg46eGHL/RTvqpe/X5XzARwhRwOB1conUBQAsAlCAzsp4yMaef9+n33nfnjyuQrMDD2Sn8YgAscPHhQOTk5BOUV4j2UAHAJypdvoqpV75Hrfx/uq6pV71H58o1d/LgALgdnUDqHoASAS9Sw4Sz5+Lg2KH18fNWw4SyXPiaAy0dQOoegBIBL5O8fqvr1z/+y95Vo0GC6/P1DXfqYAC6fzWaTn5+fatSoYXqKRyIoAeAyBAZGKzR0rFOP4fj9Q3dCQ8cpIKCPC1YBcNbZG3Islis/IqwkIygB4DLVrj1CDRvOlo+Pny73PZWFhRbl5UlVq76s2rWfK5qBAC4bd3g7h6AEgCsQGBitVq22qmrVtr//lYuF5ZmvV658p0aNCpHV+pZOnz5dpBsBXDqC0jkEJQBcIX//UDVvvlatWv2soKBY+fmd6xN1LPLzq6+goFi1arVVLVt+rGnTlun777/X6NGjTcwGcA4EpXMsDsfZd/MAAJyVn39C2dk75XDkymIpK3//+uf8BJzx48drxIgR+uijj9S2bdtzPBKA4pKbmys/Pz/NnTtXvXr1Mj3HIxGUAGBAQUGB7r77bv3yyy/avHmzqlevbnoSUGLt2rVL9evX14cffqh27dqZnuOReMkbAAwoVaqUkpKSlJ2drZiYGPF7e8AczqB0HkEJAIYEBwcrMTFRK1asUEJCguk5QIl1NiiDg4MNL/FcBCUAGPToo4+qb9++GjJkiLZu3Wp6DlAi2Ww21axZU/7+/qaneCyCEgAM+89//qPatWsrPDxcOTk5pucAJQ53eDuPoAQAw8qVK6eUlBRt27ZNzz77rOk5QIlDUDqPoAQAN9CiRQu98sormjJlilavXm16DlCiEJTOIygBwE0MHjxY999/v6KiorR//37Tc4ASweFwEJQuQFACgJuwWCyaN2+eJCkqKkqFhYWGFwHe79ChQzp16hRB6SSCEgDcyNVXX60FCxbo/fff19SpU03PAbweZ1C6BkEJAG7mvvvu0xNPPKHhw4dr06ZNpucAXo2gdA2CEgDc0IQJE9S4cWOFhYXp1KlTpucAXstms6ls2bK66qqrTE/xaAQlALihsmXLKiUlRfv27dPQoUNNzwG8ls1mU0hIiHx8SCJn8HcPANxU48aNNWXKFM2aNUtvvvmm6TmAV+IOb9cgKAHAjcXExOjRRx9VdHS00tPTTc8BvA5B6RoEJQC4MYvFotmzZ6tcuXLq3r27CgoKTE8CvApB6RoEJQC4uerVqyspKUnr1q3Tq6++anoO4DXy8vKUmZlJULoAQQkAHqBt27Z69tlnNXLkSH3zzTem5wBeISMjQw6Hg6B0AYISADzECy+8oJYtWyo8PFzHjh0zPQfweJxB6ToEJQB4iNKlSys5OVkHDhzQgAEDTM8BPN7ZoAwJCTG8xPMRlADgQerVq6f4+HglJSVp8eLFpucAHs1ms6lGjRoqV66c6Skej6AEAA8TGRmp8PBwxcbGavfu3abnAB6LO7xdh6AEAA9jsVgUHx+v6tWrKyIiQvn5+aYnAR6JoHQdghIAPFDlypWVnJysjRs3asyYMabnAB6JoHQdghIAPFTr1q31wgsvaNy4cVq/fr3pOYBHcTgcBKULEZQA4MGeffZZ3XrrrYqIiNDhw4dNzwE8xpEjR3TixAmC0kUISgDwYKVKldKiRYt04sQJWa1WORwO05MAj8AZlK5FUAKAh6tVq5Zmz56tZcuWae7cuabnAB6BoHQtghIAvECXLl0UHR2tQYMGaceOHabnAG7PZrOpdOnSuvrqq01P8QoEJQB4iSlTpig4OFhhYWHKzc01PQdwazabTSEhIfLxIYVcgb+LAOAlypcvr5SUFG3ZskUjRowwPQdwa9zh7VoEJQB4kX/9618aP368Jk2apLVr15qeA7gtgtK1CEoA8DJDhgxR+/bt1aNHDx04cMD0HMAtEZSuRVACgJfx8fHRggULVFhYqN69e3OUEPA/Tp8+LbvdTlC6EEEJAF7ommuu0bx587Ry5UpNnz7d9BzArdjtdhUWFhKULkRQAoCXeuCBBzRw4EANGzZMP/74o+k5gNvgDErXIygBwIu9+uqratCggcLCwpSdnW16DuAWzgZlSEiI4SXeg6AEAC/m5+enlJQU7d69W0899ZTpOYBbsNlsqlatmipUqGB6itcgKAHAy1133XWaNGmS4uPj9c4775ieAxjHHd6uR1ACQAkQGxurhx56SL1791ZGRobpOYBRBKXrEZQAUAJYLBbNmTNHZcqUUY8ePVRYWGh6EmAMQel6BCUAlBA1atRQUlKSPvnkE02cONH0HMAYgtL1CEoAKEHatWunYcOGacSIEfr2229NzwGK3dGjR3Xs2DGC0sUISgAoYV566SW1aNFCYWFhOnHihOk5QLHiDMqiQVACQAlTpkwZJScnKzMzU4MGDTI9ByhWBGXRICgBoARq0KCBpk+frnnz5mnJkiWm5wDFxmazydfXV9dcc43pKV6FoASAEqpnz556/PHH1bdvX+3du9f0HKBY2Gw2BQcHq1SpUqaneBWCEgBKKIvFopkzZ6py5cqKjIxUfn6+6UlAkeMO76JBUAJACValShUlJyfrq6++0rhx40zPAYocQVk0CEoAKOFuvfVWjRo1SmPGjNEXX3xheg5QpAjKokFQAgA0YsQItW7dWuHh4Tpy5IjpOUCRyM/PV0ZGBkFZBAhKAIB8fX21ePFiHT16VH379pXD4TA9CXC5zMxMFRQUEJRFgKAEAEiSateurZkzZ2rp0qVasGCB6TmAy3EGZdEhKAEAf+jWrZuioqI0YMAA/fLLL6bnAC51NihDQkIML/E+BCUA4G+mTZumwMBAhYeHKy8vz/QcwGVsNpuqVKmiSpUqmZ7idQhKAMDfVKhQQcnJydq0aZNGjhxpeg7gMtzhXXQISgDAP9x4440aN26cXn31VX344Yem5wAuQVAWHYISAHBOTz31lO666y716NFDBw8eND0HcJrNZlPt2rVNz/BKBCUA4Jx8fHy0cOFC5eXlqU+fPhwlBI/HFcqiQ1ACAM4rKChIc+bM0TvvvKOZM2eangNcsWPHjunIkSMEZREhKAEAF/Twww8rLi5OQ4cO1c8//2x6DnBF0tLSJHEGZVEhKAEAFzVx4kTVrVtXYWFhysnJMT0HuGwcal60CEoAwEX5+/srJSVFqampevrpp03PAS6bzWZTqVKlFBAQYHqKVyIoAQCXpFmzZnrttdc0bdo0rVy50vQc4LLYbDYFBwerVKlSpqd4JYISAHDJBgwYoAceeEBRUVHKzMw0PQe4ZPv27ePl7iJEUAIALpnFYtG8efPk6+urqKgoFRYWmp4EXBKODCpaBCUA4LJcddVVWrBggdauXavJkyebngNcEoKyaBGUAIDL1r59ez355JN69tln9f3335ueA1xQQUGB0tPTCcoiRFACAK7IuHHjdN111yksLEwnT540PQc4r8zMTBUUFBCURYigBABckbJlyyolJUXp6el64oknTM8BzoszKIseQQkAuGKNGjXS1KlTlZiYqGXLlpmeA5wTQVn0CEoAgFN69+6tLl26KCYm5o9fuAF3YrPZVLlyZVWqVMn0FK9FUAIAnGKxWJSQkKCKFSsqMjJSBQUFpicBf8Md3kWPoAQAOK1q1apatGiRPv/8c40fP970HOBvCMqiR1ACAFyiTZs2GjFihF544QV99dVXpucAfyAoix5BCQBwmVGjRqlVq1YKDw/X0aNHTc8BJBGUxYGgBAC4TOnSpZWcnKysrCz179/f9BxAx48f1+HDhwnKIkZQAgBcKjQ0VDNnztTixYuVlJRkeg5KuLS0NEkcGVTUCEoAgMuFh4ere/fuiouL065du0zPQQnGGZTFg6AEABSJ6dOnq2bNmgoPD9fp06dNz0EJZbPZ5OPjo8DAQNNTvBpBCQAoEpUqVVJycrK+//57vfDCC6bnoISy2WwKCgqSr6+v6SlejaAEABSZm2++WWPGjNH48eP16aefmp6DEog7vIsHQQkAKFJPP/207rjjDkVGRiorK8v0HJQwBGXxICgBAEWqVKlSSkpK0qlTpxQTEyOHw2F6EkoQgrJ4EJQAgCIXHBysxMRErVixQrNnzzY9ByVEQUGB0tPTCcpiQFACAIpFp06dZLVa9cQTT2jbtm2m56AE2L9/v06fPk1QFgOCEgBQbCZPnqzatWsrLCxMubm5pufAy3EGZfEhKAEAxaZcuXJKSUnRtm3b9Mwzz5ieAy9HUBYfghIAUKxatGihV155RVOmTNHq1atNz4EXs9lsqlixoipXrmx6itcjKAEAxW7QoEG67777FBUVpf3795ueAy919g5vi8VieorXIygBAMXOx8dH8+fPlyRFRUWpsLDQ7CB4JY4MKj4EJQDAiKuvvlrz58/X+++/r2nTppmeAy9EUBYfghIAYMz999+vJ554Qk8//bQ2bdpkeg68DEFZfAhKAIBREyZMUOPGjRUWFqZTp06ZngMvcfLkSWVlZRGUxYSgBAAYVbZsWSUnJ2vfvn0aOnSo6TnwEmlpaZI4Mqi4EJQAAOOaNGmiyZMna9asWVqxYoXpOfACnEFZvAhKAIBbsFqteuSRRxQdHa309HTTc+DhbDabLBaLgoKCTE8pEQhKAIBbsFgsSkxMlL+/v3r06KGCggLTk+DBbDabAgMDVbp0adNTSgSCEgDgNqpXr66kpCR9+umnevXVV03PgQfjDu/iRVACANxK27Zt9cwzz2jkyJH65ptvTM+BhyIoixdBCQBwOy+++KL+9a9/KTw8XMePHzc9Bx6IoCxeBCUAwO2ULl1aKSkpOnDggAYMGGB6DjxMYWGh0tLSCMpiRFACANxSvXr1FB8fr4ULFyo5Odn0HHiQAwcOKC8vj6AsRgQlAMBtRUZGKjw8XLGxsdqzZ4/pOfAQnEFZ/AhKAIDbslgsio+PV7Vq1RQeHq78/HzTk+ABCMriR1ACANxa5cqVlZycrI0bN2rMmDGm58AD2Gw2lS9fXlWrVjU9pcQgKAEAbq9169YaPXq0xo0bp/Xr15ueAzd39g5vi8ViekqJYXE4HA7TIwAAuJiCggK1bdtWe/fu1ebNm7n6hPPq1KmTTp06pffff9/0lBKDK5QAAI9QqlQpLVq0SMePH5fVahXXQ3A+nEFZ/AhKAIDHqFWrlmbPnq1ly5Zp7ty5pufATRGUxY+gBAB4lC5duqhPnz4aNGiQduzYYXoO3Ex2drZ+++03grKYEZQAAI8zZcoUBQcHKywsTLm5uabnwI2kpaVJ4sig4kZQAgA8ToUKFZSSkqItW7bo+eefNz0HboQzKM0gKAEAHulf//qXxo8fr4kTJ+qDDz4wPQduwmazyWKxKCgoyPSUEoWgBAB4rCFDhuiee+5Rjx499Ntvv5meAzdgs9l0zTXXqGzZsqanlCgEJQDAY/n4+GjBggXKz89Xr169OEoI3OFtCEEJAPBoAQEBmjdvnlauXKnXX3/d9BwYRlCaQVACADxex44dNWDAAD311FP66aefTM+BQQSlGQQlAMArvPbaa2rQoIHCwsKUnZ1teg4McDgcBKUhBCUAwCv4+fkpJSVFu3bt0lNPPWV6Dgz47bfflJubS1AaQFACALzGddddp0mTJik+Pl7vvPOO6TkoZpxBaQ5BCQDwKrGxsXrwwQfVu3dv2e1203NQjAhKcwhKAIBXsVgsmjt3rsqUKaMePXqosLDQ9CQUE5vNJn9/f1WvXt30lBKHoAQAeJ0aNWooKSlJH3/8sSZNmmR6DorJ2RtyLBaL6SklDkEJAPBK7dq107Bhw/Tcc8/p22+/NT0HxYA7vM0hKAEAXuull15S8+bNFRYWphMnTpiegyJGUJpDUAIAvFaZMmWUnJyszMxMDRo0yPQcFDGC0hyCEgDg1Ro2bKhp06Zp3rx5WrJkiek5KCI5OTnav38/QWkIQQkA8HpRUVF67LHH1LdvX+3bt8/0HBSB9PR0SRwZZApBCQDwehaLRbNmzVLlypUVERGh/Px805PgYpxBaRZBCQAoEapUqaLFixfrq6++0rhx40zPgYudDcrg4GDDS0omghIAUGLcdtttGjlypMaMGaMvvvjC9By4kM1m09VXXy0/Pz/TU0okghIAUKI8//zzuuWWWxQREaEjR46YngMX4Q5vswhKAECJ4uvrq8WLF+vIkSPq16+fHA6H6UlwAYLSLIISAFDi1KlTRzNnztSSJUu0cOFC03PgAgSlWQQlAKBE6tatm6KiotS/f3/98ssvpufACQ6Hg6A0jKAEAJRYU6dOVUBAgMLDw5WXl2d6Dq5QVlaWsrOzCUqDCEoAQIlVsWJFJScna9OmTRo1apTpObhCnEFpHkEJACjRWrVqpbFjx+rVV1/VRx99ZHoOrgBBaR5BCQAo8YYNG6a2bduqR48eOnjwoOk5uEw2m01ly5bVVVddZXpKiUVQAgBKPB8fHy1cuFC5ubnq06cPRwl5mLM35FgsFtNTSiyCEgAASUFBQZozZ47eeecdzZw50/QcXAbu8DaPoAQA4HcPP/ywYmNjNXToUP3888+m5+ASEZTmEZQAAPzFxIkTVbduXYWFhSknJ8f0HFwCgtI8ghIAgL8oV66cUlJSlJqaquHDh5ueg4vIzc1VZmYmQWkYQQkAwP9o1qyZXnvtNU2dOlUrV640PQcXkJGRIYkjg0wjKAEAOIcBAwaoQ4cOioqKUmZmpuk5OA/OoHQPBCUAAOdgsVg0b948lSpVSlFRUSosLDQ9CedwNihDQkIMLynZCEoAAM6jZs2aWrBggdauXaspU6aYnoNzsNlsuuqqq+Tv7296SolGUAIAcAH33nuvhg4dqmeeeUY//PCD6Tn4H9zh7R4sDj4OAACAC8rNzVXr1q116tQpfffddypfvrzpSfjdfffdp3LlyunNN980PaVE4wolAAAXUbZsWaWkpCgtLU1PPPGE6Tn4C65QugeCEgCAS9CoUSP997//VWJiopYtW2Z6DiQ5HA6C0k0QlAAAXKI+ffqoc+fOiomJUVpamuk5Jd7hw4d18uRJgtINEJQAAFwii8WihIQEVahQQZGRkSooKDA9qUTjDEr3QVACAHAZqlWrpsWLF+uzzz7ThAkTTM8p0QhK90FQAgBwmdq0aaMRI0Zo9OjR+uqrr0zPKbFsNpvKlCmjmjVrmp5S4hGUAABcgVGjRqlVq1YKDw/X0aNHTc8pkWw2m0JCQuTjQ86Yxj8BAACuQOnSpbV48WJlZWWpf//+pueUSNzh7T4ISgAArlDdunU1Y8YMLV68WIsWLTI9p8Sx2WyqXbu26RkQQQkAgFMiIiLUvXt3xcXFadeuXabnlChcoXQfBCUAAE6aPn26rrrqKoWHh+v06dOm55QIp0+flt1uJyjdBEEJAICTKlWqpOTkZH333Xd64YUXTM8pETIyMuRwOAhKN0FQAgDgAjfffLPGjBmj8ePH69NPPzU9x+txBqV7ISgBAHCR4cOHq02bNoqMjNShQ4dMz/FqZ4MyJCTE8BJIBCUAAC5TqlQpJSUl6dSpU4qJiZHD4TA9yWvZbDbVqFFD5cqVMz0FIigBAHCpkJAQJSYm6s0331RiYqLpOV5r3759vNztRghKAABcrFOnTrJarRo8eLC2bdtmeo5X4sgg90JQAgBQBP7zn/+odu3aCgsLU25uruk5XoegdC8EJQAARaB8+fJKTk7Wtm3b9Oyzz5qe41UcDgdB6WYISgAAisgNN9ygCRMmaPLkyXr//fdNz/EaR44c0YkTJwhKN0JQAgBQhAYPHqz77rtPPXv21P79+03P8QqcQel+CEoAAIqQj4+P5s+fL0nq1auXCgsLzQ7yAgSl+yEoAQAoYldffbXmzZun1atXa9q0aabneDybzabSpUvr6quvNj0FvyMoAQAoBh06dNDgwYP19NNPa/PmzabneDSbzaaQkBD5+JAx7sLi4Bh/AACKRU5Ojm655Rbl5eXp22+/5VNerlBYWJh+/fVXffLJJ6an4HekPQAAxcTPz0/Jycnau3evnnzySdNzPBZHBrkfghIAgGLUpEkTTZ48WTNnztSKFStMz/FIBKX7ISgBAChmVqtVjzzyiKKjo5Wenm56jkc5ffq07HY7QelmCEoAAIqZxWJRYmKi/Pz81KNHDxUUFJie5DHsdrsKCwsJSjdDUAIAYED16tWVlJSkTz/9VK+99prpOR6DMyjdE0EJAIAhd911l4YPH66RI0dqw4YNpud4hLNBGRISYngJ/oqgBADAoDFjxuiGG25QeHi4jh8/bnqO27PZbKpWrZoqVKhgegr+gqAEAMCg0qVLKzk5Wfv379eAAQNMz3F73OHtnghKAAAMq1+/vl5//XUtXLhQycnJpue4NYLSPRGUAAC4ge7duyssLEyxsbHas2eP6Tlui6B0TwQlAABuwGKxaMaMGapWrZoiIiKUn59vepJbIijdE0EJAICbqFy5spKTk7Vhwwa99NJLpue4naNHj+rYsWMEpRsiKAEAcCOtW7fW6NGjNXbsWH322Wem57gVzqB0XwQlAABu5rnnntOtt96qiIgIHT582PQct0FQui+CEgAAN1OqVCktWrRIx44dk9VqlcPhMD3JLdhsNvn6+uqaa64xPQX/g6AEAMAN1apVS7Nnz9ayZcs0b94803Pcgs1mU3BwsEqVKmV6Cv4HQQkAgJvq2rWr+vTpo4EDB2rHjh2m5xjHHd7ui6AEAMCNTZkyRcHBwQoPD1dubq7pOUYRlO6LoAQAwI1VqFBBycnJ+umnn/T888+bnmMUQem+CEoAANxcy5Yt9fLLL2vixIn64IMPTM8xIj8/XxkZGQSlmyIoAQDwAEOHDtXdd9+tHj166LfffjM9p9hlZmaqoKCAoHRTBCUAAB7Ax8dHCxcuVH5+vnr37l3ijhLiDEr3RlACAOAhAgICNG/ePL333nt6/fXXTc8pVmeDMiQkxPASnAtBCQCAB+nYsaMGDBigp556Sj/99JPpOcXGZrOpSpUqqlSpkukpOAeCEgAAD/Pqq6+qQYMGCgsLU3Z2tuk5xYI7vN0bQQkAgIfx9/dXSkqKdu7cqWHDhpmeUywISvdGUAIA4IGuu+46TZo0Sa+//rreffdd03OKHEHp3ghKAAA8VFxcnB588EH16tVLdrvd9JwiRVC6N4ISAAAPZbFYNHfuXJUpU0Y9e/ZUYWGh6UlF4tixYzpy5AhB6cYISgAAPFiNGjW0cOFCffjhh5o0aZLpOUUiLS1NEmdQujOCEgAAD3f33Xdr2LBheu655/Ttt9+anuNyHGru/ghKAAC8wNixY9W8eXOFh4frxIkTpue4lM1mU6lSpRQQEGB6Cs6DoAQAwAuUKVNGycnJstvtGjx4sOk5LmWz2RQUFCRfX1/TU3AeBCUAAF6iYcOGmjZtmubOnaulS5eanuMy3OHt/ghKAAC8SFRUlB577DFZrVbt27fP9ByXICjdH0EJAIAXsVgsmjlzpipXrqyIiAjl5+ebnuQ0gtL9EZQAAHiZqlWravHixfrqq6/08ssvm57jlIKCAqWnpxOUbo6gBADAC912220aOXKkXnzxRX3xxRem51yxX3/9Vfn5+QSlmyMoAQDwUs8//7xuueUWRURE6MiRI6bnXBHOoPQMBCUAAF7K19dXixcv1uHDh9WvXz85HA7Tky4bQekZCEoAALxYnTp1NGvWLC1ZskQLFy40Peey2Ww2VapUSZUrVzY9BRdAUAIA4OW6deumnj17qn///tq5c6fpOZeFO7w9A0EJAEAJMG3aNAUEBCgsLEx5eXmm51wygtIzEJQAAJQAFStWVHJysjZt2qTRo0ebnnPJCErPQFACAFBCtGrVSmPHjtUrr7yijz/+2PScS0JQegaCEgCAEmTYsGFq27atunfvroMHD5qec0EnTpzQoUOHCEoPQFACAFCC+Pj4aOHChcrJyVF0dLRbHyWUlpYmiSODPAFBCQBACRMUFKS5c+fq7bff1qxZs0zPOS/OoPQcBCUAACXQww8/rNjYWA0ZMkRbt241PeecbDabfHx8FBgYaHoKLoKgBACghJo4caLq1q2rbt26KScnx/Scf7DZbAoMDFTp0qVNT8FFEJQAAJRQ5cqVU0pKilJTUzV8+HDTc/6BO7w9B0EJAEAJ1qxZM7366quaOnWqVq5caXrO3xCUnoOgBACghBs4cKA6dOigXr166ddffzU95w8EpecgKAEAKOEsFovmzZsnHx8f9ezZU4WFhaYnqbCwUGlpaQSlhyAoAQCAatasqQULFmjt2rWaMmWK6Tnav3+/Tp8+TVB6CIISAABIku69914NHTpUzzzzjH744QejWziD0rMQlAAA4A8vv/yymjZtqrCwMJ08edLYDoLSsxCUAADgD2XLllVKSopsNpuGDBlibIfNZlOFChVUpUoVYxtw6QhKAADwN9dee63++9//avbs2Vq+fLmRDWfv8LZYLEaeH5eHoAQAAP8QHR2tzp07KyYmRmlpacX+/BwZ5FkISgAA8A8Wi0UJCQkqX768unfvroKCgmJ9foLSsxCUAADgnKpVq6ZFixZp/fr1mjBhQrE+N0HpWQhKAABwXnfccYeee+45jR49Wl9//XWxPOepU6d08OBBgtKDEJQAAOCCRo8erRtvvFHh4eE6duxYkT/f2fdsEpSeg6AEAAAXVLp0aSUnJ+vgwYPq379/kT8fZ1B6HoISAABcVN26dTVjxgwtWrRIixYtKtLnstlsslgsCgoKKtLngesQlAAA4JJEREQoMjJScXFx2rVrV5E9j81mU0BAgMqUKVNkzwHXIigBAMAle/3111WjRg1FRETo9OnTRfIc3OHteQhKAABwySpVqqTk5GR9++23evHFF4vkOQhKz0NQAgCAy3LLLbdozJgxevnll7Vu3TqXPz5B6XkISgAAcNmGDx+uNm3aKDIyUocOHXLZ4xYWFiotLY2g9DAEJQAAuGylSpVSUlKSTp48qZiYGDkcDpc87m+//abc3FyC0sMQlAAA4IqEhIRo9uzZevPNN5WYmOiSx+QMSs9EUAIAgCvWuXNnxcTEaPDgwdq+fbvTj0dQeiaCEgAAOGXy5MmqXbu2wsLClJub69Rj2Ww2lStXTtWqVXPROhQHghIAADilfPnySk5O1tatW/Xss8869Vhn7/C2WCwuWofiQFACAACn3XDDDZowYYImT56s999//4ofhyODPBNBCQAAXGLw4MG699571bNnT+3fv/+KHoOg9EwEJQAAcAkfHx/Nnz9fDodDvXr1uqKjhAhKz0RQAgAAl7nmmms0f/58rV69WtOmTbusn83OztaBAwcISg9EUAIAAJfq0KGDBg8erGHDhunHH3+85J9LT0+XxJFBnoigBAAALjdhwgRde+216tatm06dOnVJP8MZlJ6LoAQAAC7n5+enlJQU7dmzR08++eQl/czZoAwODi7KaSgCBCUAACgSTZo00eTJkzVz5ky99dZb5/2+/PwTOn58kw4f/lI331xdpUqdLr6RcAmLw1Wf5g4AAPA/HA6HOnXqpPXr1+vHH39UUFCQJOnkya2y22cqK2uVcnJ2S/prjljk51dX1at3UGBgP5Uv38TIdlw6ghIAABSprKwsNWvWTI0aNdK77yZo5844HT78gSRfSfkX+MkzX69a9R41bDhL/v6hxTMYl42XvAEAQJGqXr26kpKSVK7cJ/rmm8Y6fPiT379yoZj88+uHD3+ijRubyG5PLNKduHIEJQAAKHL16n2lp56SLJZ8XTwk/1e+CgtzlJoao337xhXFPDiJl7wBAECRstsTlZoa47LHa9QoUQEBfVz2eHAeQQkAAIpMdvYebdzYRIWFOS57TB8fP7VqtZX3VLoRghIAABSZzZvb//6eyfO/zL1rl7RsmbRpk5SVJZUqJYWESG3bSg88IFWq9L8/4auqVduqefO1Rbgcl4OgBAAAReLkya3auLHpBb/nvfekKVPOBOTDD0t16kj5+dKOHdLKlVK9etJLL537Z1u12qry5Ru7fDcun6/pAQAAwDvZ7TN1oaOBfv5ZmjxZuvHGM9FYpsyfX7vxRumxx6QNG8736L6y22eoQYOpLl6NK8Fd3gAAoEhkZa3ShV7qXrxYslikJ5/8e0yeVbq0dOut5/vpfGVlrXbFTLgAQQkAAFwuP//475+Ac24FBdIPP0gNG0o1a17Zc+Tk7FJ+/okrXAhXIigBAIDLZWfv0t8/TvHvjh6VcnKkgABnnsWh7OydzjwAXISgBAAALudw5HrV8+DCCEoAAOByFkvZC369cmXJz0/KzCza50HxICgBAIDL+fvXl2Q579dLlZL+9S8pNVX67bcrfRbL788D0whKAADgcr6+FeTnV/eC3xMeLjkc0sSJ0unT//x6fr705Zfn/3k/v3ry9a3g5FK4AkEJAACKRPXqHXShI6+bNpWGDJG++07q21d6660zn5bz3XfSG29IUVHS6vOeDOSr6tXvd/lmXBk+KQcAABSJS/mkHEnaufPPj148dOjPj15s3Vp69FGpSpVz/xyflOM+CEoAAFBkLuWzvC8fn+XtbnjJGwAAFJmGDWfJx8e1n/Ts4+Orhg1nufQx4RyCEgAAFBl//1DVrz/NpY/ZoMF0+fuHuvQx4RyCEgAAFKnAwGiFho51yWOFho5TQEAflzwWXIf3UAIAgGJhtydq586BKizM1+W9p9JXPj6+atBgOjHppghKAABQbLKz9yg1ta8OH/5AZ44UulBYnvl61ar3qGHDWbzM7cYISgAAUOxOntwqu32msrJWKydnl6S/5ohFfn71VL36/QoMjOVoIA9AUAIAAKPy808oO3unHI5cWSxl5e9fn0/A8TAEJQAAAJzCXd4AAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwCkEJAAAApxCUAAAAcApBCQAAAKcQlAAAAHAKQQkAAACnEJQAAABwyv8DnlskeA0cYRIAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Simple Graphs in `networkx`\n",
"\n",
"### Importing the package\n",
"We'll use the Python package `networkx` to work with graphs. So, from now on, every notebook with begin with:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"import networkx as nx\n",
"opts = { \"with_labels\": True, \"node_color\": 'y' } # show labels; yellow noodes"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Making a graph:\n",
"In `networkx`, we can construct this graph with the `Graph` constructor function, which takes the\n",
"node and edge sets $X$ and $E$ in a variety of formats. \n",
"\n",
"The simplest approach is to use $2$-letter strings for the edges: this implicitly defines the nodes too. \n",
"\n",
"Here is our graph from earlier: "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<networkx.classes.graph.Graph at 0x7fbe1e052750>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G = nx.Graph([\"AB\", \"BC\", \"BD\", \"CD\"])\n",
"G "
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* The `python` object `G` representing the graph $G$ has lots of useful attributes. Firstly, it has `nodes` and `edges`."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"NodeView(('A', 'B', 'C', 'D'))"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.nodes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"['A', 'B', 'C', 'D']"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(G.nodes)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"EdgeView([('A', 'B'), ('B', 'C'), ('B', 'D'), ('C', 'D')])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.edges"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"[('A', 'B'), ('B', 'C'), ('B', 'D'), ('C', 'D')]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(G.edges)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"A **loop** over a graph `G` will effectively loop over `G`'s nodes. As an example, (recall?) that the **degree** of a node is the number of edges incident to it (or, if you prefer, the number of neighbours)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"node A has degree 1\n",
"node B has degree 3\n",
"node C has degree 2\n",
"node D has degree 2\n"
]
}
],
"source": [
"for node in G:\n",
" print(f\"node {node} has degree {G.degree(node)}\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We can count the nodes, and the edges."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"4"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.number_of_nodes()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"4"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.order()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"4"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.number_of_edges()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"4"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.size()"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"To draw the graph:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(G, **{ \"with_labels\": True, \"node_color\": 'c'})"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"source": [
"The example also illustrates a typical way how diagrams of graphs are drawn:\n",
"nodes are represented by small circles, and edges by lines connecting the nodes."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Adding and removing nodes and edges\n",
"A graph `G` can be modified, by adding nodes one at a time ..."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G.add_node(1)\n",
"list(G.nodes)\n",
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"or many nodes at once ..."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G.add_nodes_from([2, 3, 5])\n",
"list(G.nodes)\n",
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* ... or even as nodes of another graph `H`"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"['A',\n",
" 'B',\n",
" 'C',\n",
" 'D',\n",
" 1,\n",
" 2,\n",
" 3,\n",
" 5,\n",
" 'UCSB',\n",
" 'SRI',\n",
" 'UCLA',\n",
" 'STAN',\n",
" 'UTAH',\n",
" 'RAND',\n",
" 'SDC',\n",
" 'MIT',\n",
" 'BBN',\n",
" 'LINC',\n",
" 'HARV',\n",
" 'CASE',\n",
" 'CARN']"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.add_nodes_from(H)\n",
"list(G.nodes)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(21, 4)"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.order(), G.size()"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Adding edges works in a similar fashion"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G=nx.Graph( [\"AB\", \"BC\", \"BD\", \"DC\"] )\n",
"G.add_edge(1,2)\n",
"#G.add_edge(1,'C')\n",
"#G.add_edge(1,'A')\n",
"list(G.edges)\n",
"nx.draw(G, **opts)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"#edge = (2,3)\n",
"#G.add_edge(*edge)\n",
"#list(G.edges)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"Add edges from a list:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"[('A', 'B'),\n",
" ('B', 'C'),\n",
" ('B', 'D'),\n",
" ('C', 'D'),\n",
" (1, 2),\n",
" (1, 5),\n",
" (2, 5),\n",
" (5, 3)]"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.add_edges_from([(1,5), (2,5), (3,5)])\n",
"list(G.edges)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Add edges from another graph:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"[('A', 'B'),\n",
" ('B', 'C'),\n",
" ('B', 'D'),\n",
" ('C', 'D'),\n",
" (1, 2),\n",
" (1, 5),\n",
" (2, 5),\n",
" (5, 3),\n",
" ('UCSB', 'SRI'),\n",
" ('UCSB', 'UCLA'),\n",
" ('SRI', 'UCLA'),\n",
" ('SRI', 'STAN'),\n",
" ('SRI', 'UTAH'),\n",
" ('UCLA', 'STAN'),\n",
" ('UCLA', 'RAND'),\n",
" ('UTAH', 'SDC'),\n",
" ('UTAH', 'MIT'),\n",
" ('RAND', 'SDC'),\n",
" ('RAND', 'BBN'),\n",
" ('MIT', 'BBN'),\n",
" ('MIT', 'LINC'),\n",
" ('BBN', 'HARV'),\n",
" ('LINC', 'CASE'),\n",
" ('HARV', 'CARN'),\n",
" ('CASE', 'CARN')]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.add_edges_from(H.edges)\n",
"list(G.edges)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"There are corresponding commands for **removing** nodes or edges from a graph `G`"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"(21, 25)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.order(), G.size()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"(21, 24)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.remove_edge(3,5)\n",
"G.order(), G.size()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"(21, 7)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.remove_edges_from(H.edges())\n",
"G.order(), G.size()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(G, **opts)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G.remove_nodes_from(H)\n",
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* Removing a node will silently delete all edges it forms part of"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"(4, 4)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.remove_nodes_from([1, 2, 3, 5])\n",
"G.order(), G.size()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(G, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"source": [
"That is, `networkx` is ensuring what we get is a proper graph, which is a subgraph of the original one.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"source": [
"<div class=\"alert alert-block alert-info\">Finished here Thursday</div>"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### Subgraphs and Induced subgraphs\n",
"\n",
"Given $G=(X,E)$, a **subgraph** of $G$ is $H=(Y,E_H)$ with $Y\\subseteq X$ and $E_H\\subseteq E\\cap \\binom{Y}{2}$.\n",
"\n",
"So, all the nodes in $H$ are also in $G$. And any edge in $H$ was also in $G$, and is incident only to vertices in $Y$.\n",
"\n",
"One of the most important subgraphs of $G$ is the **induced subgraph** on $Y\\subseteq X$ is the graph $H=\\left(Y,E\\cap \\binom{Y}{2}\\right)$. That is, given a subset $Y$ of $X$, we include *all possible edges* from $G$ too.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* Each node has a list of **neighbours**, the nodes it is\n",
" directly connected to by an edge of the graph."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"['A', 'C', 'D']"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(G.neighbors('B'))"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"scrolled": true,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"AtlasView({'A': {}, 'C': {}, 'D': {}})"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G['B']"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"['A', 'C', 'D']"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(G['B'])"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"As mentioned earlier, the number of neighbours of a node $x$ is its **degree**"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"3"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.degree('B')"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"DegreeView({'A': 1, 'B': 3, 'C': 2, 'D': 2})"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"G.degree"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"[('A', 1), ('B', 3), ('C', 2), ('D', 2)]"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(G.degree)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Anybody knows/remembers a fundamental relationship between (the sum of) the degrees and the size of a graph?"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Important Graphs"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"source": [
"### Complete Graphs\n",
"\n",
"The [**complete graph**](https://en.wikipedia.org/wiki/Complete_graph)\n",
"on a vertex set $X$ is the graph with edge set all of $\\binom{X}{2}$. E.g., if $X=\\{0,1,2,3\\}$, then $E=\\{01, 02, 03, 12, 13, 23\\}$."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"[0, 1, 2, 3]"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nodes = range(4)\n",
"list(nodes)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]\n"
]
}
],
"source": [
"E4 = [(x, y) for x in nodes for y in nodes if x < y]\n",
"print(E4)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"K4 = nx.Graph(E4)\n",
"nx.draw(K4)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"While it is somewhat straightforward to find all $2$-element\n",
"subsets of a given set $X$ with a short `python` program,\n",
"it is probably more convenient (and possibly efficient) to use a function from the\n",
"`itertools` package for this purpose."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<itertools.combinations at 0x7fbe15856840>"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from itertools import combinations\n",
"nodes5 = range(5)\n",
"combinations(nodes5, 2)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]\n"
]
}
],
"source": [
"print(list(combinations(nodes5, 2)))"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [],
"source": [
"K5 = nx.Graph(combinations(nodes5, 2))"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(K5, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"We can turn this procedure into a `python` function that\n",
"constructs the complete graph for an arbitrary vertex set $X$."
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"def complete_graph(nodes):\n",
" return nx.Graph(combinations(nodes, 2))"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(complete_graph(range(3)), **opts)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(complete_graph(range(4)), **opts)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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BbW1t/P7776hRowZ+/fVX7N69G0lJSayjEkJUCBVKQlTYyZMn0bJlSxgaGiI8PBzt2rVjlkWehRIAOnfujCVLlmDJkiU4ffq03O6rSExMTDB8+HBcvHgRr1+/xpYtW5CXl4fffvsN1atXR/fu3bF//358+PCBdVRCiJKjKW9CVBDHcVi2bBnmzJkDT09P7N+/HwYGBszypKSkoFKlSjh69Cj69u0rt/tKJBK4ubnh1q1biIyMpP0b/+fNmzcIDAyEQCDArVu3oK2tja5du4LH48HV1RVGRkasIxJClAwVSkJUTGZmJoYOHQqBQIAFCxZg7ty5ZfoQzM8ICwuDk5MTIiMjYWdnJ9d7Jycnw8HBAYaGhrh79y709PTken9FFx8fD39/fwiFQty5cwfly5dHt27dwOPx0Lt3bxgaGrKOSAhRAlQoCVEhL168gJubGx4/foyDBw/C09OTdSQAwMGDBzF48GCkpaUxGSn9+++/0bJlS/D5fOzdu1dlNj2XtRcvXsDf3x8CgQD37t2Drq4uevToAT6fj549e0JfX591REKIgqI1lISoiLt378LR0RHv3r3D3bt3FaZMAp/WT9aqVYvZtHvTpk2xfft27N+/H7t372aSQRnUrl0bEydORGhoKOLi4rBo0SI8f/4cfD4fpqam4PP5CAgIQFZWFuuohBAFQyOUhKiAffv2YdSoUXBycoK/vz9MTU1ZRyrEy8sLycnJuHz5MtMco0ePxt69e3Hnzh04ODgwzaJMnjx5Aj8/PwgEAty/fx/6+vro06cP+Hw+unbtCl1dXdYRCSGMUaEkRInl5eVh2rRpWL9+PUaMGIHNmzdDR0eHdayvNGnSBO3atcOWLVuY5sjJyUG7du3w9u1bREZGwsTEhGkeZSQWiyEUCiEUCvHPP//A0NAQrq6u4PP56NKlC8qXL886IiGEASqUhCipDx8+gM/n4+rVq9i4cSPGjBmjkGsD8/Pzoa+vj1WrVmH8+PGs4+D58+ews7ODg4MDzpw5o1abnsvao0ePIBQKIRAI8OjRI1SsWBHu7u7g8XhwcXGR60lMhBC2qFASooQePXqEPn364P379/Dz80OnTp1YR/qmuLg4WFpa4vz58+jatSvrOACAixcvolu3bpg7dy4WLlzIOo7S4zgO//77r7RcisViVK5cGe7u7uDz+ejYsSO0tbVZxySElCEqlIQombNnz6Jv376oVasWgoODUa9ePdaRvuv8+fPo3r074uLiULduXdZxpJYsWYK5c+fizJkz6NGjB+s4KoPjODx48AACgQACgQCxsbGoUqUKPD09wePx0L59exoVJkQFUaEkRElwHIc1a9Zg+vTp6NWrFw4fPqwUG1Bv2LABM2fOREZGBvP9MD8nkUjg6uqKO3fuIDIyEhYWFqwjqRyO4xAVFSVdc/n06VOYmprCy8sLPB4Pbdq0oXJJiIqgQkmIEsjOzsaIESNw+PBhzJ49G4sWLVKocvY9o0ePxt27d/H333+zjvKVDx8+wMHBAZUqVcKdO3foaeUyxHEcwsPDIRAIIBQK8fLlS9SoUQNeXl7g8/lo2bKl0vyZJoR8jQolIQouPj4e7u7uePDgAfbt2wcfHx/WkYqlU6dOqFKlCoRCIesoRbp//z5atmyJ/v370x6VciKRSHDv3j0IBAL4+fkhPj4etWrVgre3N3g8HpycnBTyATNCyLfR20FCFFhYWBgcHBzw6tUr3L59W+nKJPBpU3NbW1vWMb6pWbNm2LZtG/bs2YM9e/awjqMWNDU10bJlS2zYsAEvXrzAzZs34ebmhqNHj6Jly5aoW7cupk6dioiICNCYByHKgUYoCVFQhw8fxvDhw9G8eXMEBQWhevXqrCMVW1paGoyMjHDo0CEMGDCAdZzv+u2333DgwAHcuXMH9vb2rOOopfz8fNy6dQsCgQABAQFITEyEpaUleDweeDwemjVrRiOXhCgoKpSEKJj8/HzMmjULq1atgq+vL7Zv3660m0VHRkbCwcEBYWFhcHR0ZB3nu7Kzs9GmTRskJSUhMjISlStXZh1JreXl5eH69esQCoUICAjA+/fvYW1tLS2XTZo0oXJJiAKhQkmIAklJSUG/fv1w/vx5rFmzBn/88YdS/9A8cuQIBgwYgJSUFKV4Iv3Zs2ews7ODk5MTTp8+TQ+JKIjc3FxcvXoVQqEQgYGBSE5ORv369cHj8cDn89GwYUPWEQlRe/TdkhAFER0dDWdnZ9y5cwdnz57FxIkTlbpMAp/WT9aoUUMpyiQAmJub4+jRozh//jwWL17MOg75n3LlyqFr167Ys2cP3r59izNnzqBFixbYsGEDGjVqhCZNmmDx4sUQiUSsoxKitmiEkhAFcOnSJfB4PFSrVg3BwcGwsbFhHUkm+Hw+EhIScO3aNdZRimXRokVYsGABzp49i27durGOQ74hJycHFy5cgFAoxMmTJ5Geno6mTZtKp8WtrKxYRyREbVChJIQhjuOwadMmTJo0CV27dsWxY8dQsWJF1rFkplmzZnB2dsb27dtZRykWiUSC3r17IzQ0FJGRkQp1wg8pWlZWFs6fPw+BQIBTp04hMzMTdnZ24PP58Pb2po3rCSljVCgJYSQnJwdjxozB3r17MXXqVCxfvlylTg2RSCQwMDDA0qVLMXHiRNZxiu39+/ewt7eHiYkJbt++TZueK5HMzEycOXMGQqEQZ86cQVZWFlq0aAEejwdvb2/UqVOHdURCVA4VSkIYePv2LTw8PBAZGYldu3Zh4MCBrCPJ3PPnz2Fubq7UZ2VHRUWhVatWGDRoEHbu3Mk6DimB9PR0nD59GkKhEGfPnkVOTg5atmwpLZc1a9ZkHZEQlUAP5RAiZ1FRUXBwcEBcXBxu3LihkmUSAB4/fgwACr2p+Y/Y2dlh69at2LVrF/bt28c6DikBAwMD+Pj4IDAwEAkJCTh8+DCqVKmC6dOno1atWmjbti02b96M169fs45KiFKjQkmIHAmFQrRp0wbVq1dHeHg4nJycWEcqMyKRCDo6Okq//nDo0KEYNmwYxowZg7/++ot1HFIKRkZG6N+/P4KDg/H27Vvs378fRkZGmDhxImrWrImOHTti27ZtSEhIYB2VEKVDU96EyIFEIsG8efOwdOlS9OvXD7t374aenh7rWGVq7NixuH79Oh4+fMg6SqllZ2ejdevW+PDhAyIjI2FsbMw6EpGh9+/f48SJExAKhbh8+TI4jkPHjh3B5/Ph7u6OKlWqsI5IiMKjQklIGUtLS8PAgQMRHByM5cuXY9q0aUq/v+TP6NKlC4yMjBAQEMA6ikzExcXB3t4erVq1QnBwMG16rqLevXuHoKAgCAQCXLt2DRoaGnBxcQGPx4ObmxudoETIN9B3RELKUGxsLFq2bImrV68iODgY06dPV4syCXya8lbm9ZNfsrCwwJEjR3D27FksW7aMdRxSRqpUqYIRI0bg8uXLeP36Nf7880/k5ORg+PDhqF69Onr27IkDBw4gJSWFdVRCFAoVSkLKyLVr1+Do6IicnByEhoaiV69erCPJTUZGBl68eKFShRIAunfvjnnz5mHevHm4ePEi6zikjJmammL06NG4du0aXr16hXXr1iE1NRW+vr4wNTVFnz59cOTIEaSmprKOSghzNOVNSBnYunUrxo8fj44dO0IgEKjdNNn9+/fRvHlzhISEwNnZmXUcmZJIJOjZsyfCw8MRGRkJc3Nz1pGInL169Qp+fn4QCoUICQlB+fLl0aNHD/B4PPTq1QsGBgasIxIid1QoCZGhjx8/YsKECdi+fTsmTJiANWvWQFtbm3UsuTt+/Dj69u2L9+/fq+QDLElJSbC3t4epqSlu3bqF8uXLs45EGHn+/Lm0XIaFhUFPTw89e/YEn89Hjx49UKFCBdYRCZELmvImREYSExPx66+/Ys+ePdi9ezc2bNiglmUS+LR+smrVqipZJgHAxMQE/v7++PvvvzFhwgTWcQhDderUweTJk3Hv3j3ExsZiwYIFiI2Nhbe3N6pWrQofHx8EBQUhKyuLdVRCyhSNUBIiAw8ePICrqysyMzMRGBiI1q1bs47EVL9+/fDy5UvcvHmTdZQytWvXLowcORL79+/H4MGDWcchCiQmJgZCoRBCoRB///03DAwM4OrqCh6Ph65du9KoNlE5VCgJKaWgoCAMHDgQ1tbWOHnyJJ0TDMDe3h52dnbYtWsX6yhliuM4DBs2DMeOHUNoaCiaNm3KOhJRQCKRSFouHz58CCMjI7i5uYHP58PFxQU6OjqsIxJSalQoCSkhiUSCJUuWYP78+fD29sa+ffugr6/POhZzHMfByMgI8+fPx5QpU1jHKXNZWVlo3bo1UlNTERERgUqVKrGORBTYv//+Cz8/PwgEAjx+/BjGxsZwd3cHj8dDp06dUK5cOdYRCSkRKpSElEBGRgZ8fX3h7++PxYsXY/bs2Wqzv+SPvHr1CrVq1UJwcDB69+7NOo5cxMbGwt7eHm3btsWJEydo03PyQxzH4eHDhxAIBBAIBIiJiYGJiQk8PDzA4/HQoUMHtV2DTZQTFUpCiunZs2dwdXVFTEwMDh06BHd3d9aRFMqVK1fg4uICkUgEGxsb1nHk5syZM+jVqxeWLl2KWbNmsY5DlAjHcbh//z6EQiEEAgHi4uJQtWpVeHp6gs/no23bttDS0mIdk5DvokJJSDHcvn0bHh4e0NfXR3BwMJo0acI6ksLZunUrJkyYgMzMTLWbvis4r/3ChQtwcXFhHYcoIY7jEBkZCYFAAKFQiOfPn6N69erw8vICj8dD69ataQScKCQqlIT8pN27d2PMmDFo1aoV/P39UaVKFdaRFNKECRNw8eJFPHr0iHUUucvPz0ePHj0QFRWFqKgo1K5dm3UkosQ4jkNYWJi0XL569QpmZmbw9vYGn8+Hk5MTlUuiMKhQEvIDeXl5mDRpEv7880+MHj0aGzduVLuRt+Lo1q0bdHV1ceLECdZRmHj37h3s7e1RvXp13Lx5k7aHITIhkUgQEhICgUAAPz8/vHnzBrVr15aWS0dHR1rHTZiitzaEfMf79+/RrVs3bNu2DVu3bsXWrVupTP6ASCRSuTO8i6NKlSrw9/fH/fv3MWnSJNZxiIrQ1NRE69atsWnTJrx8+RLXr19H7969cfjwYTg5OcHS0hLTp09HZGQkaJyIsEAjlIR8w3///Yc+ffogOTkZ/v7+6NChA+tICi8rKwv6+vrYvXs3hg4dyjoOUzt27MCoUaNw6NAhDBgwgHUcoqLy8/Nx48YNCIVCBAQE4N27d6hXrx54PB74fD5++eUXGrkkckGFkpAinD59Gv369YO5uTmCg4NhYWHBOpJS+Oeff/DLL7/g9u3ban9aEMdxGDJkCIRCIUJDQ/HLL7+wjkRUXF5eHq5duwaBQIDAwEB8+PABNjY24PP54PF4aNy4MeuIRIVRoSTkMxzHYeXKlZg1axZcXV1x8OBBGBoaso6lNPz8/MDj8ZCYmEgPLQHIzMxEq1atkJGRgfDwcNr0nMhNbm4uLl++DKFQiKCgIKSkpKBhw4bSkcv69euzjkhUDK2hJOR/srKy0L9/f8ycORNz5sxBQEAAlcliEolEqFy5MpXJ/6lQoQICAgKQmJgIX19fSCQS1pGImihXrhy6d++Offv24e3btzh16hTs7Oywdu1aNGjQAL/88guWLl2K6Oho1lGJiqARSkIAvHz5Em5ubvjvv/9w4MABeHt7s46klAYOHIjY2FjcuXOHdRSFcurUKfTp0wfLly/HjBkzWMchaiw7OxsXLlyAQCBAcHAwMjIy0Lx5c/B4PPB4PFhaWrKOSJQUFUqi9kJDQ+Hu7o5y5crh5MmTaN68OetISqtFixZo3Lgx9u7dyzqKwpk9ezZWrFiBixcvonPnzqzjEIKsrCycPXsWQqEQp0+fRmZmJhwcHKTl0tzcnHVEokSoUBK1duDAAYwcORKOjo4ICAhAtWrVWEdSWhzHoVKlSpg1axamT5/OOo7Cyc/PR7du3fD3338jKioKtWrVYh2JEKmMjAycOXMGAoEAZ8+eRXZ2NpycnMDn8+Hl5UWb9JMfojWURC3l5+djypQp8PX1xcCBA3HlyhUqk6X09u1bpKamqvUelN+jpaWFo0ePQldXF97e3vj48SPrSIRI6evrg8fjISAgAAkJCThy5AiqV6+OGTNmoE6dOmjTpg02bdqE+Ph41lGJgqJCSdROcnIyevXqhQ0bNmDTpk3YtWsXnWYiA48fPwYAKpTfUbVqVfj5+SEyMhKTJ09mHYeQIhkaGqJfv344ceIEEhIScPDgQRgbG2PKlCmoVasW2rdvj61bt+Lt27esoxIFQoWSqBWRSAQnJyfcu3cP58+fx7hx42jTXxkRiUTQ0tJCvXr1WEdRaE5OTti4cSM2b96MI0eOsI5DyHdVrFgRAwcOxKlTp/D27Vvs3bsXFSpUwIQJE2BmZoZOnTphx44dSExMZB2VMEaFkqiN8+fPw8nJCVpaWrh37x5cXFxYR1IpIpEIlpaW0NHRYR1F4Y0aNQoDBw7EyJEj8fDhQ9ZxCPkpxsbG8PX1xblz5/DmzRvs2LED2tra+P3331GjRg38+uuv2L17N5KSklhHJQzQQzlE5XEch3Xr1mHatGno3r07jhw5gooVK7KOpXJ69uwJTU1NnDp1inUUpZCZmQlnZ2dkZ2cjPDyc/kwSpZWYmIjAwEAIBALcuHEDmpqacHFxAZ/Ph6urK4yNjVlHJHJAI5REpWVnZ2PIkCGYMmUKpk6dipMnT9IP7jIiEolo/WQxFGx6/vbtWwwZMgT03p4oq6pVq+K3337D1atX8erVK2zcuBGZmZkYOnQoqlWrht69e+PQoUNITU1lHZWUISqURGW9fv0aHTt2hEAgwOHDh7FixQpoaWmxjqWScnJyEBcXR4WymKytrXHw4EEEBQVh9erVrOMQUmrVq1fHmDFjcOPGDbx8+RJr1qzBhw8fMGjQIJiamsLNzQ1Hjx5FWloa66hExmjKm6ikiIgIuLm5geM4nDhxAo6OjqwjqbR///0XjRs3xo0bN9CuXTvWcZTOzJkzsWrVKly5cgUdOnRgHYcQmXvx4gX8/f0hEAhw79496OrqokePHuDz+ejZsyf09fVZRySlRIWSqJxjx45h6NChaNq0KYKCglCjRg3WkVReYGAgPD098ebNG9rPswTy8vLQtWtXPHz4EFFRUahZsybrSISUmadPn8LPzw9CoRARERGoUKECevXqBR6Phx49ekBPT491RFICNOVNVIZEIsGsWbPQr18/eHt74/r161Qm5UQkEqFixYowNTVlHUUpaWtr49ixYyhXrhx4PB5tek5UWt26dTF16lSEh4cjJiYGc+fORXR0NLy8vFC1alX069cPJ0+eRHZ2NuuopBhohJKohNTUVAwYMABnzpzBqlWrMGnSJNpfUo58fX3x+PFjhIaGso6i1EJDQ9GuXTuMHj0aGzduZB2HELkSi8Xw8/ODQCDAP//8A0NDQ7i6uoLP56NLly50AIWCo0JJlN6TJ0/Qp08fvHz5EsePH0f37t1ZR1I7LVu2hI2NDQ4cOMA6itLbvHkzxo0bh6NHj6Jv376s4xDCxKNHjyAUCiEQCPDo0SNUrFgR7u7u4PF4cHFxQbly5VhHJF+gQkmU2pUrV+Dt7Y0qVaogODgY9evXZx1J7XAcBxMTE0yZMgWzZs1iHUfpcRyHAQMG4MSJEwgLC0OjRo1YRyKEqYcPH0rLpVgsRuXKleHu7g4+n4+OHTtCW1ubSa68vHRkZcWA43KgoVEeenpW0NY2YJJFEVChJEqJ4zhs3rwZEydOROfOnXH8+HHaPJeRxMREmJqawt/fH56enqzjqISMjAw4Ozvj48ePCA8Ph5GREetIhDDHcRwePHggLZdPnjxBlSpV4OnpCR6Ph/bt25f51nAZGf8hPn47kpLOIjs7FsDnFUoDurqWMDHpATOzUdDXb1imWRQNFUqidD5+/Ijff/8du3fvxqRJk7By5Upm71AJcOvWLbRr1w7//PMPGjduzDqOyhCLxXB0dESXLl3g5+dHa4IJ+QzHcfjrr78gEAggFArx9OlTmJqawsvLCzweD23atJFpuczKioNY/Bs+fLgEQBtA3nde/enjxsZdYGOzA3p6FjLLocioUBKlkpCQAE9PT4SFhWHHjh3w9fVlHUnt7d69GyNHjkRmZiZ0dXVZx1EpQUFB8PDwwJo1azB58mTWcQhRSBzHITw8HEKhEEKhEC9evECNGjXg5eUFPp+Pli1bQlOz5JvaxMfvRkzMOEgkefh+kfySNjQ1tWFl9SfMzIaX+P7KggolURr379+Hq6srcnJyEBQUhJYtW7KORABMnToVgYGBePLkCesoKmn69OlYu3Ytrl69SpvGE/IDEokE9+7dg0AggJ+fH+Lj41GrVi14e3uDx+PBycmpWKP9z54tRVzcnFLnsrBYAnPz2aW+jiKjQkmUgr+/PwYPHowGDRrgxIkTqFWrFutI5H/69OmDvLw8nD17lnUUlZSXl4cuXbrg0aNHiIqKgpmZGetIhCgFiUSCO3fuQCgUwt/fH2/evEGdOnXA4/HA5/Nhb2//3XIZH78bYvEImeWxtd2NGjWGyex6ioYKJVFoEokECxcuxKJFi+Dj44M9e/agQoUKrGORz9ja2qJHjx5Yv3496ygq6+3bt7Czs4OFhQWuXbtGW6YQUkz5+fm4deuWtFwmJibC0tISPB4PPB4PzZo1K1Qus7LiEB7eEBLJ15urx8QAu3cDcXFAcjJQvjxQuzbg5gZ06fLtDJqaunB0/E9l11TSSTlEYaWnp8Pb2xuLFy/GsmXLcPToUSqTCiY3NxexsbGwtbVlHUWlVatWDX5+frh37x6mTZvGOg4hSkdLSwsdOnTA1q1bER8fj8uXL6Nz587YtWsX7OzsYGtrizlz5uCff/4Bx3EQi3/735rJr6WnA6amwPDhwIoVwMyZQPXqwLJlwKFD384gkeRBLP6tjL5C9miEkiikp0+fwtXVFbGxsThy5Aj69OnDOhIpwuPHj9GgQQNcvXoVHTt2ZB1H5W3atAkTJkyAQCAAj8djHYcQpZebm4urV69CKBQiMDAQycnJ6NDBAvPnxxX7WmPGAElJgEDw/dc5Ov4Hff0GJUysuGiEkiicGzduwNHREenp6QgNDaUyqcBEIhEA0AilnIwbNw59+/bF0KFD8ejRI9ZxCFF65cqVQ9euXbFnzx68ffsWZ86cgbd3eeTnF/9aFSsCP96pSBvx8dtKElXhUaEkCmXHjh1wcXFBkyZN6JQQJSASiWBgYIAaNWqwjqIWNDQ0sHPnTpibm8PDwwNpaWmsIxGiMnR0dNCjRw/Y2eX+RDEEJBIgP//TOsoTJ4DwcMDH50eflYekpHOlD6uAqFAShZCbm4vff/8do0aNwqhRo3DhwgWYmJiwjkV+QCQSoX79+rTpthwZGBggMDAQr169wrBhw0CrlgiRnby8tP+dgPNjGzYALi6AuzuwdSswbhzwMxNq2dlPkJeXXrqgCoiOFyHMvXv3Dt7e3rhz5w527tyJESNkt00DKVsikYimuxmwtbXFvn374OXlhZYtW2LixImsIxGiErKynqDwcYrf1r8/0LMn8OEDEBICbNoEZGcDfP6PPpNDVlYMDA2blTKtYqFCSZh6+PAh+vTpg7S0NFy5cgVt27ZlHYkUg0gkQteuXVnHUEuenp6YPHkypk6dCgcHB/q7Q4gMcFzOT7+2WrVP/wMAZ+dPv+7aBXTtClSqJLv7KAsqlISZkydPYsCAAbC0tMS1a9dgbm7OOhIphqSkJLx7945GKBlasWIFwsPDwePxEBUVRWtZCSmG5ORkiMViiEQi6a/p6fdR0p256tcHgoOB+PgfF0oNjfIlu4kCo0JJ5I7jOCxbtgxz5syBp6cn9u/fDwMDA9axSDHRE97saWtrQyAQwM7ODnw+H1euXKFNzwn5zMePHxEbG1uoNBb8c0JCgvR1ZmZmsLGxQaNGbcFx0SjJsvC//gI0NYEfH2alAT09q+LfQMFRoSRylZmZiaFDh0IgEGDBggWYO3cuNDXp2TBlVFAora2tGSdRb9WrV4dQKETHjh0xc+ZMrFmzhnUkQuSK4zi8fv26UGks+DUuLg75/9sDyMDAADY2NrC1tYWLi4v0n62trWFoaCi9XmjoDWRnP/nm/dasAfT1P41IGhsDKSnAjRvAtWuf1k/+aHRSV7cetLVVbxCFCiWRmxcvXsDNzQ2PHz+Gv78/PD09WUcipSASiWBubk6nFymANm3aYPXq1Zg4cSKcnZ3h5eXFOhIhMpeWlobo6OhCo4wFv6anf3pqWktLCxYWFrC1tUXv3r1ha2sLW1tb2NjYoEaNGj+1I4WJSQ+8erUNQNEn5TRqBJw/D1y48OnUHD09oF49YNas7x+9+Ik2TEy6F+8LVxJ0Ug6Ri7t378Ld3R26uroIDg5G06ZNWUcipeTu7o7MzExcuHCBdRSCT6M0ffv2xZkzZxAeHo769euzjkRIseXl5eHp06dFTlHHx8dLX2dqaiotip//amlpCR0dnVJlyMj4D+HhZbcHsqqelEOFkpS5vXv3YtSoUXB2doa/vz9MTU1ZRyIy0LBhQ7i4uGDTpk2so5D/SU9PR4sWLQAAYWFhtDaZKCSO45CYmFjkFPWTJ0+Qm5sLANDT04ONjc1XpdHGxgaVfjSvXEp///0rPny4CqAER+Z8kzaMjTuiadOLMrym4qApb1Jm8vLyMHXqVGzYsAEjR47En3/+Wep3jkQx5OXlISYmBr///jvrKOQzBgYGCAgIQIsWLTB8+HAcO3aMNp0nzGRmZiI6Ovqr0igWi5GcnAzg0+lP5ubmsLW1xa+//lqoNNaqVYvZGvusrDH4+PESypVDiR7QKYqmpjZsbHbI5mIKiAolKRMfPnwAn8/H1atXsWXLFowePZp+sKmQuLg45Obm0hPeCqhBgwbYu3cveDweWrZsiQkTJrCORFRYfn4+Xrx4UeS6xufPn0tfV7lyZdja2qJBgwZwc3OTlkYrKyvo6uoy/Aq+tnfvXowePRojR1rC0/PnTs35GdbWm6GnZyGz6ykaKpRE5h49eoQ+ffrg/fv3uHjxIjp16sQ6EpEx2jJIsXl7e2PixImYMmUKHBwc0Lp1a9aRiJJ7//59kesao6OjkZPzaZNuHR0dWFtbw8bGBv369Ss0Ta0MR+nm5uZi4sSJ2LJlC4YPH441azbjzZs1iIubU+prW1gsRY0aw2SQUnHRGkoiU2fPnkXfvn1Ru3ZtBAcHw9LSknUkUgbWrl2LefPmIS0tjbZ9UlC5ubno1KkTnjx5gqioKFSvXp11JKLgcnJyEBMT89UUtUgkQlJSkvR1tWvX/mpdo62tLerUqQMtLS2GX0HJvX37Ft7e3ggNDcWmTZvw22+/SWfV4uN3IyZmHCSSPHzrye+iaUNTUxvW1ptVvkwCVCiJjHAchzVr1mD69Ono3bs3Dh8+XGhfL6JaRo4ciYiICERFRbGOQr7j9evXsLOzg62tLS5fvgxtbZqUUncSiQSvXr0qsjQ+e/YMEokEAGBkZFRoy52CX62traGvr8/4q5CtsLAweHh4IC8vDwEBAUWO6GdlxUEs/g0fPlzCp8nd7xXLTx83Nu4CG5sdKj3N/TkqlKTUsrOzMWLECBw+fBizZ8/GokWLaNRKxbVv3x5mZmY4duwY6yjkB27duoWOHTti0qRJWLVqFes4RE5SUlKKfBhGLBYjMzMTwKeTlurVq1fk9jumpqZqse593759GD16NJo1a4aAgADUrFnzu6/PyPgP8fHbkZBwCjk5T1H4R50GdHXrwcSkO8zMRqvk1kDfQ4WSlEp8fDzc3d3x4MED7Nu3Dz4+PqwjETmoXr06Ro0ahQULFrCOQn7CunXrMHnyZAQEBMDDw4N1HCIjubm5Xx0rWPDr27dvpa+rUaNGoanpgn+uW7eu2h7V+fl6yWHDhmHLli0oX/7nz9e+ceMGunXrgLCwQJibm0FDozz09KxU8gScn0XzH6TEwsLC4ObmBk1NTdy+fRv29vasIxE5SE5Oxtu3b+mBHCUyceJEhISEwNfXF40aNaL/75QIx3F48+bNVw/DiEQixMbGSo8V1NfXlxbFDh06SMujtbU1jIyMGH8ViqVgvWRISAi2bt2KUaNGFXs0ViwW4+NHTdja9qTt8P6HCiUpkcOHD2P48OFo3rw5goKCaMG/GqEnvJWPhoYG9u7dC0dHR3h6euLevXsqtw5O2aWnp0uPFfyyPKalpQEANDU1pccK9uzZs9CIo5mZmVpMUZdWeHg4PDw8kJubi2vXrqFNmzYluo5YLIaFhQWVyc9QoSTFkp+fj5kzZ2L16tXw9fXF9u3bizVNQJRfQaG0sbFhnIQUh6GhIQIDA9GiRQuMGDECR44coQIiZ3l5eXj27FmRU9SvXr2Svq5q1aqwtbVF06ZNwePxpCOP9erVowJTCvv378eoUaN+er3k94jFYvoe+AUqlOSnpaSkoF+/fjh//jzWr1+PCRMm0A8kNSQSiVCrVi061k8JNWzYEHv27IGPjw9atmyJcePGsY6kcjiOw7t37755rODHjx8BALq6urC2toatrS18fX0LPRRjbGzM+KtQLbm5uZg0aRI2b96MoUOHYuvWraUeCBGLxejatauMEqoGKpTkp0RHR6NPnz548+YNzp07h19//ZV1JMKISCSi6W4lxufzERISgkmTJsHBwQEtW7ZkHUkpZWVlISYmpsgTYj58+ADg01KDOnXqwNbWFi4uLhgzZoy0NNauXZt2w5CDhIQEeHt74+7duzI7tS0vLw9PnjyhEcovUKEkP3Tp0iXweDxUq1YN9+7do79Eak4kEqFdu3asY5BSWL16NSIiIuDt7Y2oqCiYmpqyjqSQJBKJ9FjBL9c1Pn/+HAWbpBgbG0vXM/bp06fQsYJ6enqMvwr1FRERAXd391Kvl/zSs2fPkJubSz8Lv0CFknwTx3HYtGkTJk2ahK5du+LYsWOoWLEi61iEofz8fERHR2PEiBGso5BSKFeuHIRCIezs7ODj44OLFy+q9abnHz58KHKKOjo6GtnZ2QA+HStoZWUFGxsb+Pj4fHWsIC3/USwHDhzAb7/9hqZNmyIgIAC1atWS2bWjo6MB0DryL6nvdxDyXTk5ORgzZgz27t2LqVOnYvny5Up7pBaRnWfPniEnJ4emvFWAmZkZBAIBOnfujDlz5mDFihWsI5WpnJwcPHnypMjNvhMTE6Wvq1WrFmxsbNCmTRsMHTpUOvJobm5O3wOVQG5uLiZPnow///wTQ4YMwdatW6GrqyvTe4jFYujq6sq0pKoCKpTkK2/evIGnpyciIyNx8OBBDBw4kHUkoiBoyyDV0r59eyxfvhzTpk2Ds7Mz3NzcWEcqFY7jEB8fX+S6xri4OOmxgoaGhtKi+OuvvxY6VpAeNlNeCQkJ4PF4uHPnjszWSxZFLBbDysqK1sB+gQolKSQqKgqurq7Iz8/HjRs34OTkxDoSUSAikQi6urqoU6cO6yhERqZMmYLQ0FAMHjwYERERsLa2Zh3ph1JTU795rGBGRgaAT8cKWlpawtbWFm5uboWmqKtVq0ZT1ComIiICHh4eyMnJwdWrV9G2bdsyuxdtGVQ0KpRESiAQYMiQIWjcuDGCgoJKtUcXUU0ikQg2Njb0zlyFaGhoYN++fXB0dISHhwdCQ0MVYtPz3NxcxMXFFXlCzJs3b6Svq169OmxsbODg4ID+/ftLS6OFhYXaHiuobg4ePIiRI0fil19+QWBgYJlPRYvFYvTt27dM76GMqFASSCQSzJs3D0uXLkX//v2xa9cuejKRFIm2DFJNRkZG0k3PR40ahYMHD8plBI/jOLx9+/ar0caCYwXz8vIAABUqVJAWxXbt2hU6VpAeFFRfubm5mDJlCjZt2gRfX19s27ZN5uslv5SVlYXnz5/TCGURqFCqubS0NAwcOBDBwcFYuXIlpk6dSlNB5JtEIhFat27NOgYpA40aNcLu3bvRr18/tGzZEmPGjJHZtTMyMr46VrDg19TUVACfjhWsW7cubG1t0b1790JT1DVr1qTvS6SQz9dLbt68GWPGjJHLn5EnT56A4zgqlEWgQqnGYmNj0adPHzx//hynTp1Cz549WUciCiw1NRXx8fE0QqnC+vbti5CQEPzxxx+ws7ODs7PzT39ufn7+N48VfPnypfR1VapUga2tLRo3bgxPT89CxwrSMa7kZ0RGRsLd3R05OTm4cuWKXPfFFYvFAGjLoKJQoVRT165dg5eXFypXrox79+6hQYMGrCMRBVfwjZQKpWpbs2ZNoU3Pq1atWujj7969K3JdY0xMjPRYwfLly0uPFRw0aFChYwUrV67M4ssiKqJgvWSTJk0QGBiI2rVry/X+YrEYlSpVQpUqVeR6X2VAhVINbd26FePHj0fHjh0hEAjoGzz5KbRlkHrQ0dHBwYMH0aJFC3Tu3Bl8Pr/QdPX79++lry04VrBTp04YNWqUtDTWqVOHHtwiMpWbm4upU6di48aNclsvWZTo6GjY2NjQEowiUKFUIx8/fsT48eOxY8cOTJgwAWvWrFHr0zFI8YhEItSoUQNGRkasoxAZkEgkePnyZZFT1M+ePQPHcfjw4QOio6PRtGlT2NjYoFevXoX2bKSH94g8JCYmgsfj4fbt2/jzzz/x+++/Myt0YrFYKbbWYoHahJpITEyEl5cXQkJCsHv3bgwbNox1JKJk6Alv5ZScnPzNYwWzsrIAfDqKseBYQR6PJ52ivnDhApYsWYKZM2fC1dWV8VdC1FHBesns7Gy5r5csilgsRpcuXZhmUFRUKNXAgwcP0KdPH2RlZeHatWv0lC4pEZFIVKyHNIj8fPz4EbGxsUWeEJOQkCB9nZmZGWxtbdGqVSv4+vpKRxvr1q1b5GxF69at8fDhQ+mm51ZWVvL8soiaO3ToEEaOHInGjRszWS/5peTkZCQkJNADOd9AhVLFBQYGShfFnzhxgk44ISUikUggFosxePBg1lHUFsdxeP369Vf7NRYcK5ifnw8AMDAwkO7T6OLiIi2NNjY2xT5WUENDA/v374ejoyM8PT0REhKCChUqlMWXR4jU5+slBw8ejG3btinE8oro6GgA9IT3t1ChVFESiQRLlizB/PnzwePxsG/fPvpBQErsxYsXyMrKoilvOUhLS5MeI/jlaGN6ejoAQEtLC5aWlrCxsUGfPn0K7dlYvXp1ma4vq1ixIgICAuDk5ITRo0dj//799EACKTMF6yVv3bqFTZs2YezYsQrz561gpwtaQ1k0KpQqKCMjA76+vvD398eSJUswa9YshfkLSZQTPeEtW3l5eYWOFfx8xPH169fS11WrVg02Njaws7ND3759Cx0rqKOjI7e8TZo0wa5duzBgwAC0bNkSo0aNktu9ifqIioqCu7s7srKycOXKFbRv3551pELEYjFq1KgBQ0ND1lEUEhVKFfPs2TO4uroiJiYGQUFBcHNzYx2JqACRSAQdHR3UrVuXdRSlwXEcEhMTi1zX+OTJE+Tm5gIA9PT0pEWxTZs2hY4VrFSpEtsv4jP9+/fH3bt3MWHCBNjZ2aFFixasIxEVcvjwYYwYMQKNGjVCUFAQ8/WSRRGLxTTd/R1UKFXI7du34eHhAX19fYSEhKBJkyasIxEVIRKJYG1tDS0tLdZRFE5mZuY3jxVMSUkB8GktYsGxgr/++qu0NNrY2KBmzZpKs2fjunXrEBkZCS8vL0RFRdHmzqTU8vLyMG3aNKxfvx6DBg3C9u3bFWK9ZFHEYjHs7e1Zx1BYVChVxO7duzFmzBi0atUK/v7+9I2eyJS6bxmUn5+P58+fF3lCzIsXL6SvMzExga2tLRo2bAh3d/dCxwqy2IRZ1sqXLw8/Pz/pFPz58+fpTQYpscTERPD5fNy8eRMbN27EuHHjFHZ5FsdxiI6Oho+PD+soCosKpZLLzc3F5MmT8eeff2L06NHYuHEjypUrxzoWUTEikQgDBgxgHaPMJSUlFbmuMSYmBjk5OQA+lSorKyvY2tpiwIABhY4VNDExYfwVlL3atWvj+PHj+PXXX7FgwQIsXryYdSSihBR9veSX3r59i7S0NJry/g4qlEosKSkJPB4PN2/exNatWzF69GjWkYgKysjIwIsXL1RmhDInJwcxMTFFTlEnJSVJX1e7dm3Y2tqiffv2GDlyZKFjBdV9VK5z587SB/6cnJzQq1cv1pGIEjly5AiGDx+ORo0aITAwUCm2syt4wpsK5bdRoVRS//77L1xdXZGcnIxLly6hQ4cOrCMRFVXwjVSZCqVEIsGrV6++eaygRCIB8GlLnIKi2L1790LHCtI2W983ffp0hIaGYuDAgYiMjISlpSXrSETBfb5ecuDAgdixY4fCrpf8klgshqamJv05/w4qlEro1KlT6N+/P+rWrYtLly7BwsKCdSSiwhR5y6CUlJQi1zVGR0cjMzMTwKdjBevVqwcbGxt4eXlJp6htbW1RtWpVhV2zpeg0NTVx4MABODg4wNPTE3fv3lWackDk7927d+Dz+bhx44bCr5csilgsRt26dVG+fHnWURQWFUolwnEcVq5ciVmzZsHNzQ0HDx4s9skXhBSXSCSCqakpjI2Nmdw/NzdXeqzgl+Xx7du30teZmZnBxsYGzs7OGDRokHS00cLCoshjBUnpVapUCQEBAWjZsiXGjBmDvXv3KlVJIPLx119/wd3dHRkZGbh8+bJSzqjRlkE/Rt9llURWVhaGDRuGY8eOYd68eZg/f77SbDVClJs8nvDmOA5v3rwpcoo6Nja20LGCBSOMnTp1KnSsIG02zEbTpk2xfft2DB48GC1btsTIkSNZRyIK5OjRoxg+fDgaNGiAmzdvKsV6yaKIxWJ06dKFdQyFRoVSCbx8+RJubm7477//IBQK4e3tzToSUSMikQh2dnYyuVZ6erp0z8Yvy2NaWhqAT8cKWlhYwMbGBr169Sp0rGCNGjVoBEwBDRo0CCEhIRg3bhyaN28OR0dH1pEIY3l5eZg+fTrWrVuHAQMGYOfOnUq7JCI/Px8xMTH4/fffWUdRaFQoFVxoaCjc3d1Rrlw53LlzB82bN2cdiagRjuMgEonQt2/fn/6cvLw8PHv2rMjS+OrVK+nrTE1NYWNjg2bNmoHH40nXNVpaWsr1WEEiGxs2bEBUVBS8vLwQGRlJe+GqsXfv3sHHxwfXr1/Hhg0bMH78eKV+I/js2TPk5ubSlPcPUKFUYAcOHMDIkSPh6OiIgIAAVKtWjXUkomZevXqFjIyMr6a8OY7Du3fvilzXGBMTU+hYQWtra9ja2qJVq1aFjhVktSaTlI3PNz3v378/zp49q/bbK6mj+/fvw83NDRkZGbh06RI6duzIOlKpRUdHAwCsra0ZJ1FsVCgV0OdTBcOGDcOWLVvoyTLCxIMHDwAAcXFxWLp0aaECmZycDODTsYLm5uawtbWFi4sLfv/9d+kUda1atWitrxqpU6cOjh07hq5du2LRokVYuHAh60hEjo4dO4Zhw4ahfv36uHHjBszNzVlHkgmxWIzy5csr5PniikSD4ziOdQjy/5KTk+Hj44PLly9j/fr1GDt2rFJPFRDFJ5FICh0r+PmI44sXL1DwLcLY2Fg6wvj5usZ69eop7dooUjaWLl2KOXPm4MyZM+jRowfrOKSM5eXlYcaMGVi7dq3Sr5csyrhx43Dt2jU8fPiQdRSFRoVSgYhEIvTp0weJiYkQCoVwcXFhHYmokA8fPhS5rjE6OhrZ2dkAAB0dHemxgra2toiIiIBYLKY1caRYJBIJXF1dcefOHURGRtJeuSosKSkJfD4f169fx5o1azBhwgSVGwTp2rUr9PX1ERgYyDqKQqNCqSDOnz8PHx8fmJmZITg4GFZWVqwjESWUk5ODJ0+eFLnZ97t376Svq1WrVqFRxoJ/Njc3L7TurVu3btDV1cWJEycYfDVEmX348AEODg6oWLEi7ty5o1IjVuST+/fvw93dHenp6RAKhSqxXrIoFhYW4PP5WLFiBesoCo3WUDLGcRzWrVuHadOmoXv37jh69CiMjIxYxyIKjOM4vHr1qsjS+PTpU+mxgkZGRtKi2LVr10LHCurr6//UvUQiEXg8Xll+OURFGRsbSzc9Hzt2LPbs2cM6EpGhz9dLXr9+XWXWS34pOzsbz549oye8fwIVSoays7MxatQoHDhwADNmzMCSJUvoqUgilZqaWuS6xujoaGRkZAAAtLW1pccKenh4FBpxNDU1LdXUU1ZWFp49e6aQRy4S5dCsWTNs27YNQ4YMQcuWLTF8+HDWkUgp5eXlYebMmVizZg369++PnTt3qvS590+ePAHHcVQofwIVSkZev34NDw8P3L9/H0eOHEG/fv1YRyIM5ObmIi4ursgTYt68eSN9XY0aNWBjY4MWLVpgwIABhY4VLFeuXJlki46OBsdxVChJqfj6+iIkJARjx45F8+bNYW9vzzoSKaGkpCT4+Pjg2rVrWLduHf744w+VWy/5JbFYDABUKH8CFUoGIiIi4ObmBo7jcPPmTTpVQsVxHIe3b98WOUUdGxuLvLw8AIC+vr50hLF9+/aFjhVksQxCJBIBABVKUmobN24stOl55cqVWUcixfT333/Dzc0NaWlpuHjxIjp16sQ6klyIxWIYGRmhatWqrKMoPCqUcnb06FEMGzYMTZs2RVBQEGrUqME6EpGRjIyMbx4rmJqaCgDQ1NSUHivYo0ePQg/GmJmZKdS7fZFIBBMTE3q6m5Sarq4u/P39YWdnhwEDBuD06dO0P6kSOX78OIYOHQpbW1tcu3YNdevWZR1JbqKjo2FjY6NQ35sVFRVKOcnPz8ecOXOwYsUKDBw4EDt37oSuri7rWKSY8vPzpccKfjni+PLlS+nrqlatChsbG/zyyy/w8vIqdKygsmxSLxKJaHSSyIy5uTmOHj2K7t27Y/HixZg/fz7rSOQH8vLyMGvWLKxevRr9+vXDrl27VHq9ZFHEYjFNd/8kKpRykJqaKj2KbM2aNZg0aRK921FwXx4rWPBrTEwMPn78CODTqEvBsYKDBg0qtP2OKhwrKBKJ0LhxY9YxiArp2rUrFixYgAULFsDJyQndunVjHYl8Q8F6yatXr2Lt2rWYOHGiWv7cEovF6Ny5M+sYSoEKZRmLiYlBnz59EB8fj9OnT6N79+6sI5H/yc7ORnR09FelUSwW4/379wA+HStYp04d2NraolOnThg9erR0irp27doqO23HcRweP34MT09P1lGIipkzZw7u3buHfv36ISoqSq2mT5XF33//DXd3d6SmpuLixYtqW6hSUlLw9u1bGqH8SVQoy9CVK1fg7e2NqlWr4t69ezR9yIBEIsHLly+LXNf47Nkz6bGClSpVko4w9u7dW1oarays1HJD5jdv3iAtLY3+zBKZ09TUxKFDh2Bvbw8vLy/cvn2blv8oEIFAgCFDhsDW1hZXr15V68IfHR0NgJ7w/llUKMsAx3HYvHkzJk6cCBcXFxw7dkwlpkAVWXJycpHrGqOjo5GVlQUAKFeunPRYQT6fLy2NNjY2qFKlilpO53wLPeFNylLlypUREBCAVq1aYfz48di5cyfrSGovPz8fM2fOxOrVq9G3b1/s3r1b7dZLfqlgyyBra2vGSZQDFUoZ+/jxI37//Xfs3r0bkyZNwsqVK6GtTf+ZZeHjx4/fPFYwMTFR+rqaNWvC1tYWrVq1kr7TLjhWkP6/+DkikQhaWlqoV68e6yhERdnZ2WHr1q0YNmwYWrZsiSFDhrCOpLbev38PHx8fXLlyRa3XS35JLBajevXqdHrdT6KfrjKUkJAAT09PhIWFYd++ffD19WUdSelwHIf4+PgiT4iJi4uTHitoaGgoLYpdunSRjjZaW1vDwMCA8Veh/EQiESwtLaGjo8M6ClFhQ4cORUhICMaMGYNmzZqhefPmrCOpnQcPHsDNzQ0pKSm4cOECXFxcWEdSGPSEd/FQoZSR+/fvw9XVFTk5Obh+/TpatmzJOpJCS0tLK/JhGLFYjPT0dACQjpDZ2NjAzc2t0LGC1apVo3fQZYi2DCLy8ueffyIqKgqenp6IjIyk5UFyJBQKMWTIEFhbW+PKlSuwsLBgHUmhiMViNGvWjHUMpUGFUgb8/Pzg6+uLBg0a4MSJE6hVqxbrSAohLy8PcXFxRU5Rv379Wvq6atWqwdbWFvb29ujbt6905NHS0rLMjhUk3ycSieDm5sY6BlEDBZue29vbY8CAATh16pTK7p6gKPLz8zFr1iysWrWK1kt+A8dxiI6OBo/HYx1FaVChLAWJRIKFCxdi0aJF8PHxwZ49e9TuLyXHcUhISCiyND558kR6rGCFChWkxwi2bdu20LGCFStWZPxVkM/l5OQgLi6ORiiJ3FhYWODIkSPo2bMnli5dirlz57KOpLLev3+Pvn374vLly7Qv8nckJCQgNTWVpryLQe0LZV5eOrKyYsBxOdDQKA89PStoa/94DV56ejoGDRqEEydOYNmyZZgxY4ZK/6XMzMyUHiv4ZXlMSUkB8Gk7kLp168LGxgbdunX76lhBGnVQDjExMZBIJFQoiVx1794d8+bNw/z589GiRQt07dqVdSSV888//8DNzQ3Jycm0XvIHCp7wpkL589SyUGZk/If4+O1ISjqL7OxYANxnH9WArq4lTEx6wMxsFPT1G371+U+fPkWfPn0QFxeHkydPonfv3nLLXpby8/Px/PnzIk+IefHihfR1VapUgY2NDRo3bgwPDw/pusZ69eopzbGC5NtoyyDCyrx58wptem5ubs46ksooWC9pZWWFy5cv03rJHxCLxdDQ0KCdLopBrQplVlYcxOLf8OHDJXz60vOKeBWH7OwnePVqG169+hPGxl1gY7MDenqf/vLduHEDXl5eMDIyQmhoKBo1aiTPL0EmkpKSipyijomJQU5ODgCgfPny0mMFBwwYUOhYwcqVKzP+CkhZEolEqFSpEkxNTVlHIWpGU1MThw8fhr29Pby9vXHr1i16k1pK+fn5mD17NlauXAkfHx/s3r0b+vr6rGMpPLFYjLp169Kfv2LQ4AqOClFx8fG7ERMzDhJJHooukt+iDU1NbVhZ/YlTp/IxduxYtGvXDkKhECYmJmUVt9Sys7Px5MmTIk+ISUpKkr6u4FjBzzf5LjhWUEtLi+FXQFjx9fXF48ePERoayjoKUVORkZHSfWS3b9/OOo7Sev/+Pfr164dLly5h5cqVmDx5skovzZIld3d3ZGVl4fz586yjKA21GKF89mwp4uLmlPCz8yCR5EEsHoFbt4DRo8dh7dq1CvH0sUQiwatXr4pc1/j06dOvjhW0sbFBz549Cx0rqG4PEZEfoy2DCGv29vbYvHkzRo4ciZYtW2Lw4MGsIymdz9dLnj9/Hl26dGEdSamIxWK1PcO8pFS+UMbH7y5FmSxs+HDA1rap3MtkSkrKN48VzMzMBPDpWMF69erB1tYW3t7ehUYcq1atSu9KyU/hOA6PHz9WmXXBRHkNHz4cISEhGDVqFJo2bUr7ARaDn58fhgwZgnr16uHSpUuwtLRkHUmp5OfnIyYmBqNGjWIdRamo9JR3VlYcwsMbQiLJ/upjmZnAwYPAkydAdDSQkgIMHgz86HAbTU1dODr+J11TKSsfP35EbGxskSfEJCQkSF9nZmZWaGq64J/r1q1LxwqSUktISEC1atXg7+8PT09P1nGImsvKykLr1q2RkpKCiIgI2vT8B/Lz8zFnzhysWLECfD4fe/bsofWSJRAXFwdLS0ucP3+edhsoBpVuIGLxb/9bM/m11FTg9GmgXj2gTRvgzJmfu+an6e/f0LTpxWLn4TgOb968KXJdY2xsLPLz8wEABgYG0qLYuXPnQscKGhoaFvu+hPwsesKbKBI9PT3ppueDBg3CyZMnafuxb/h8veSqVaswZcoUmpkqoejoaAC0ZVBxqWyhzMj4739PcxetWjXg1ClAQ+PT6OTPFkogDx8+XEJGxiPo6zco8hXp6enSYwQ/L49isRhpaWkAPh0raGlpCRsbG/Tu3bvQFHWNGjXoGwFhQiQSQUNDA1ZWVqyjEAIAsLS0xOHDh9GrVy8sX74cs2fPZh1J4RSsl/zw4QOtl5QBsVgMHR0d1KlTh3UUpaKyhTI+fju+vTXQpyJZctp4+XILtLT+KHKKOj4+XvpKU1NT2Nraonnz5uDz+YWOFdTR0SlNCEJkTiQSwcLCArq6uqyjECLVs2dPzJ07F3PnzkWLFi2oMH3G398fvr6+sLS0pPWSMiIWi2FlZUU7nRSTyhbKpKSzKN72QMWRh4iILRgwYAuAT9MyBccItm7dutCxgpUqVSqjDITIHj3hTRTV/PnzC216Xrt2bdaRmMrPz8fcuXOxfPly8Hg87N27l9ZLyohYLKbp7hJQyUKZl5f2vxNwyo6ZGXDpUjBsbZuhZs2atK6HqASRSIQePXqwjkHIV7S0tHDkyBHY29vDy8sLN2/eVNtNpz98+IB+/frh4sWLWLlyJaZOnUrLpGRILBbD29ubdQylo5ItKCvrCQofpyh7GhqAk1Nt1K5dm8okUQkfP37EkydPaISSKKwqVarA398f9+/fx8SJE1nHYeLhw4dwdHTEvXv3cO7cOUybNo3KpAzl5OTg6dOnNEJZAirZhDguR6XuQ4g8FOw0QIWSKDJHR0ds2rQJ27Ztw6FDh1jHkauAgAA4OzujQoUKCA8Px6+//so6ksp58uQJOI6jQlkCKlkoNTTkMw0ir/sQIg+0ZRBRFiNHjsTgwYPx22+/4cGDB6zjlLn8/HzMmjULXl5e6NmzJ0JCQlCvXj3WsVSSWCwGAFhbWzNOonxUslDq6VkBKOspAI3/3YcQ1SASiWBoaIgaNWqwjkLId2loaGDr1q2wsbGBh4cHkpOTWUcqMx8+fEDv3r2xcuVKrFy5EsePH6eHb8pQdHQ0DA0NUa1aNdZRlI5KFkptbQPo6v5464R794AbN4C7dz/9+9Onn/79xg0g++vDdQpJSiqPnTsP4s2bN6UPTIgCKHjCm9ZjEWVQoUIFBAQE4N27dxg8eDAkEgnrSDL377//wtHRESEhITh79iytl5SDgie86b9z8alkoQQAE5Me+NFD7OvXAwsWAKtWffr3Gzc+/fuCBcD33vBynCbi4kwxfvx41KxZEx07dsTWrVupXBKlRlsGEWVTr149HD58GMHBwVhV8I1cRQQEBMDJyQl6enqIiIigIwDlhLYMKjmVLZRmZqPwo30ojx8Hrl0r+n/Vq3/78zQ0JBg9+jzevn2LnTt3onz58hg/fjzMzMyoXBKl9fjxYyqUROn06tULs2fPxuzZs3HlyhXWcUotPz8fs2fPhpeXF3r06EHrJeWMCmXJqWyh1NdvCGPjLpD9VpvaMDbuAn39BjAxMcGwYcNw/vyncrlr1y6UL18eEyZMoHJJlEpSUhKSkpKoUBKltHDhQnTq1Al9+/bFy5cvWccpseTkZPTu3RvLly/HihUrIBAIYGBgwDqW2khNTcWbN2+oUJaQyhZKALCx2QFNTdkWSk1NbdjY7Pjq9z8vl2/evPmqXHbo0IHKJVFY9IQ3UWZaWlo4evQodHV14e3tjY8fP7KOVGyfr5c8d+4cpk+fTuv45Cw6OhoAqFCWkEoXSj09C1hZ/SnTa1pbb4aensV3X/Nludy9ezd0dXWpXBKFVVAoaasMoqyqVq0KPz8/REZGYtKkSazjFEtgYCCcnZ2hq6uL8PBwWi/JCG0ZVDoqXSgBwMxsOCwslpTqGtz/Dt2xsFiKGjWGFetzTUxMMHToUOm0eFHlcsuWLVQuCVMikQjm5uaoUKEC6yiElJiTkxM2btyILVu24MiRI6zj/FB+fj7mzJkDT09PdOvWDSEhIbCyou3oWBGLxTA1NUXFihVZR1FKGhzHle0ZhQoiPn43YmLGQSLJw48e1ilMCzk5+bh3zwlz54bIbAri/fv3OHHiBPz8/HD58mXk5+ejXbt28Pb2hqenJ6p/76kgQmTM3d0dmZmZuHDhAusohJQKx3EYPHgw/P39ce/ePTRp0oR1pCIlJyejf//+OHfuHJYtW0ZT3Aqgf//+eP78OW7dusU6ilJS+RHKAmZmw+Ho+B+MjTv+73d+tLby08eNjTshNXUj5s+/h507d8osT+XKlTF06FCcO3dOOnKpp6eHP/74g0YuidzRE95EVWhoaGD79u2wtraGp6cnUlJSWEf6yn///YcWLVrg7t27OHv2LGbMmEFlUgFER0fT+slSUJtCCXxaU9m06UU4Ov6LmjVHQ1e3qBN1NKCra4WaNUfD0fE/NG16Ed7e4zFmzBiMHz8eUVFRMs9F5ZKwlJeXhydPnlChJCqjYNPzt2/fYsiQIVCkibigoCA4OTlBR0cH4eHh6NatG+tIBJ9GtmnLoNJRmynvb8nLS0dWVgw4LgcaGuWhp2cFbe2vt2nIyclB69at8eHDB0RGRqJSpUplnq2oafG2bduCx+PRtDiRmYJ35ZcuXYKLiwvrOITIzMmTJ+Hm5oaVK1di2rRpTLNIJBLMnz8fS5YsgZeXF/bt20dbAimQhIQEVKtWDYGBgXB3d2cdRymp1QhlUbS1DWBo2AxGRk4wNGxWZJkEgPLly8PPzw/v37+X2zveokYuK1SoIB25bN++PY1cklKjLYOIqnJ1dcWMGTMwc+ZMXLt2jVmO5ORk9OnTB0uXLsWyZcsgFAqpTCqYgie8aYSy5NS+UBaHhYUFDhw4gBMnTmD9+vVyvfeX5XLPnj1ULolMiEQi6Ovro2bNmqyjECJzixcvRocOHeDj44NXr17J/f4F6yXv3LmDM2fOYObMmbReUgGJxWJoaGjQqUSlQIWymPr06YMpU6Zg+vTpuHv3LpMMlStXxpAhQ75bLjdv3ozXr18zyUeUi0gkgo2NDTQ16dsBUT3a2to4duwYypUrJ/dNz0+cOFFovWT37t3ldm9SPGKxGObm5tDV1WUdRWnRT5ASWLZsGZycnMDn8/Hu3TumWYoql/r6+pg4cSJq1qxJ5ZL8kEgkouluotJMTU3h7++PiIgITJ06tczvJ5FIMG/ePLi7u6Nr1660v6QSoAdySo8KZQmUK1cOx48fR3Z2NgYMGACJRMI6EoD/L5dnz56lckl+Gm0ZRNSBs7Mz1q9fj02bNuHYsWNldp+UlBS4urpiyZIlWLp0Kfz8/GBoaFhm9yOyIRaL6YScUqJCWUK1atXC0aNHcfHiRSxbtox1nK9QuSQ/Izk5GQkJCVQoiVoYM2YM+vfvj+HDh+Pff/+V+fUfPXqEFi1a4NatWzh9+jRmzZpF6yWVgEQiQUxMDI1QlhIVylLo0qUL5s2bh/nz5+Pq1aus43zTj8plu3btqFyqKXrCm6gTDQ0N7NixA5aWlvDw8EBqaqrMrl2wXlJbWxvh4eHo0aOHzK5NytaLFy+Qk5NDhbKUqFCW0ty5c9GpUyf07dtXKQrZ5+UyISEBe/fuhYGBAZVLNVVQKOkbKVEX+vr6CAgIwJs3b2SyBdzn6yW7dOmC0NBQmjpVMrRlkGxQoSwlLS0tHDlyBNra2vDx8UFeXnHOCWfL2NgYvr6+3y2Xf/75J+Lj41lHJWVEJBKhVq1atCceUSs2NjbYv38/AgMDsXbt2hJf5/P1kkuWLIG/vz+tl1RCYrEY5cqVg7m5OesoSo0KpQyYmpri+PHjuHPnDubOncs6TokUVS4NDQ0xefJk1KpVi8qliqInvIm6cnd3x7Rp0zBjxgzcuHGj2J//+PFjODk54datWzh16hRmz55N6yWVlFgshpWVFbS0tFhHUWpUKGWkbdu2WLZsGVasWIEzZ86wjlMqBeXyzJkzePv2LZVLFUZPeBN1tnTpUrRr1w58Pr9Y389OnjyJFi1aQEtLC+Hh4ejZs2cZpiRljbYMkg0qlDI0ZcoU9O7dGwMHDsSzZ89Yx5EJKpeqKz8/HzExMVQoidoq2PRcS0sLPB4Pubm53319wXncbm5ucHFxofWSKoIKpWxQoZQhTU1NHDhwABUrVgSPx5PriQzy8KNy2bZtWyqXSuTZs2fIycmhQknUWrVq1eDn54d79+5h2rRp33xdSkoK3NzcsHjxYlovqUJycnLw9OlTemMgA1QoZczY2BhCoRD379+Xy4kMrHxZLvft2wcjIyMql0qEtgwi5JNWrVph7dq12LBhA4RC4VcfL1gveePGDel6STqqVDXExsZCIpHQCKUM0N+IMuDo6Ih169Zh06ZN8PPzYx2nzBkbG2Pw4MHfLZebNm3Cq1evWEclnxGJRNDV1UWdOnVYRyGEuXHjxqFv374YOnQo/vvvP+nvBwcHo0WLFtDU1KT1kiqItgySHSqUZWTMmDHg8XgYNmyY9A+sOiiqXFasWBFTpkxB7dq1qVwqEJFIBBsbGxppIQSfNj3fuXMnzM3N4enpiZSUFCxYsACurq5wcXHBvXv3qHSooOjoaBgYGKB69eqsoyg9Da60u7qSb0pLS4ODgwN0dXURGhoKPT091pGYSU5OxsmTJ+Hn54eLFy8iLy8PrVu3hre3Nzw9PVGzZk3WEdVOp06dUKVKlSKn+AhRVyKRCA4ODjA0NMSbN2+waNEizJo1i954qaiRI0ciMjISkZGRrKMoPfobUoYMDQ3h7+8PsViMcePGsY7DVKVKlTB48GCcPn0aCQkJhUYuaVqcDdoyiJCvcRwHIyMjvH79GkOHDsWcOXOoTKowesJbduhvSRlr0qQJtm7dij179uDAgQOs4yiEL8vl/v37qVzKWWpqKl6/fk2FkpDPFKyXrFixIoYOHYr9+/fj1q1brGORMkSFUnaoUMrBkCFDMGTIEIwePRoPHz5kHUeh/KhctmnThsplGShY10uFkpBP+0suXLgQrq6u6Ny5M0JDQ7Fjxw60bt0aPB4Pr1+/Zh2RlIG0tDS8fv2aCqWMUKGUk82bN8PKygpeXl5IS0tjHUchfVkuDxw4gEqVKlG5LAO0ZRAhn6SmpsLDwwMLFizAokWLEBAQACMjI2hra0MgEEBDQwN8Pv+Hm54T5RMdHQ2AnvCWFSqUclKhQgX4+fnh1atXGDlyJOhZqO+rVKkSBg0a9N1yuXHjRiqXJSQSiVCjRg0YGRmxjkIIMyKRCE5OTrh27RpOnTqFuXPnFlovWb16dQiFQoSEhGDGjBkMk5KyUDBTQ5uaywYVSjmytbXFnj17cPz4cWzfvp11HKVRVLk0NjbG1KlTqVyWkEgkotFJotZOnTqFFi1aAADCwsLQq1evIl/Xpk0brF69GuvWrVOLfYXViVgsRtWqVVGpUiXWUVQCFUo54/F4GDt2LP744w9ERESwjqN0CsrlqVOnqFyWAj3hTdSVRCLBokWL0KdPH3Ts2BH37t374d+FCRMmgM/nY+jQoXj06JGckpKyRg/kyBbtQ8lATk4O2rZti8TERERFRcHY2Jh1JKWXnJyM4OBg6T6XHz9+lO5z6eXlRftcfkYikcDAwABLly7FxIkTWcchRG5SU1MxePBgnDhxAgsXLizWlkDp6emFRjQNDAzKMiqRAycnJzRq1Ah79+5lHUUl0AglA+XLl4dQKERycjKGDBlC6yll4PORy7dv30pHLqdNm4ZatWqhdevW2LhxI16+fMk6KnMvXrxAVlYWjVAStVKwXvLq1asIDg7GvHnzirW/pIGBAQIDA/HixQsMHz6cvm8rOY7jaIRSxqhQMlK3bl0cPHgQJ0+exNq1a1nHUSlfTosfPHgQlStXxrRp01C7dm21L5f0hDdRN6dPny40uti7d+8SXad+/frYu3cvBAIBNm3aJMuIRM7evXuH5ORkKpQyRIWSod69e2PatGmYMWMG7ty5wzqOSqpYsSIGDhz43XK5YcMGtSqXIpEIOjo6qFu3LusohJQpiUSCxYsXo3fv3ujQocNPrZf8EW9vb0ycOBFTpkyh79tKrOAJbyqUskNrKBnLy8tDp06dEBsbi7/++gtVq1ZlHUktpKSkSNdcXrhwAR8/fkSrVq2kay5r1arFOmKZGTt2LK5fv06b7BOVlpaWhkGDBuHEiRNYsGDBV1sClUZubi46deqEJ0+eICoqCtWrV5fJdYn87Nu3D8OGDUNGRgb09PRYx1EJNELJmLa2No4dO4aPHz9iwIAByM/PZx1JLRSMXAYHB0tHLk1MTDB9+nSVH7mkLYOIqhOLxXBycsKVK1dw8uRJzJ8/X6bncZcrVw5CoRAcx8HHxwd5eXkyuzaRD7FYjNq1a1OZlCEqlAqgZs2aOHr0KC5duoSlS5eyjqN21K1c0pZBRJWdPn0ajo6OkEgkCAsLQ58+fcrkPjVq1IBQKMTt27cxc+bMMrkHKTv0QI7sUaFUEC4uLliwYAEWLFiAy5cvs46jtn5ULlu1aqXU5TIjIwMvX76kQklUjkQiwZIlS9CnTx/pesn69euX6T3btm2LVatWYc2aNQgICCjTexHZokIpe7SGUoHk5+eje/fuuH//Pu7fvw8zMzPWkcj/pKSk4NSpUxAKhdI1ly1btgSPx1OqNZd//fUX7OzsEBISAmdnZ9ZxCJGJtLQ0DB48GEFBQTJfL/kjHMeBx+PhwoULCA8PpzdrSkAikUBfXx8rVqzAhAkTWMdRGVQoFUxiYiKaN28OS0tLXL16Fdra2qwjkS8oc7k8fvw4+vbti/fv39OG+kQliMViuLm54eXLlzh06BBcXV3lniEtLQ2Ojo7Q1tbGvXv3oK+vL/cM5Oc9f/4c5ubmOHv2LLp37846jsqgKW8FU7VqVQgEAty9exezZ89mHYcUoWLFihgwYIB0WvzQoUOoWrVqoWnx9evX48WLF6yjfkUkEsHU1JTKJFEJZ86cQYsWLaTrJVmUSQAwNDREYGAgnj59ihEjRtCm5wqOtgwqG1QoFVDr1q2xYsUKrFq1CqdOnWIdh3xHQbk8efJkoXI5Y8YM1KlTR+HKJT3hTVRBwXrJ3r17o127dnJZL/kjDRs2xJ49e3Ds2DFs3ryZaRbyfWKxGOXKlYO5uTnrKCqFprwVFMdxcHd3x82bNxEVFUWbUCuZgmlxPz8/nD9/XjotXrDPZe3atZnksrOzg729PXbt2sXk/oSUVlpaGnx9fREYGIj58+cX+wjFsvbHH39gy5YtuHHjBlq1asU6DinCH3/8gQsXLuDRo0eso6gUKpQK7MOHD7Czs0OVKlVw+/ZtlC9fnnUkUgKKUi45joOhoSEWLFiAKVOmyOWehMhSdHQ03Nzc8OLFCxw8eBBubm6sI30lNzcXHTt2RFxcHKKiolCtWjXWkcgXevTogXLlyuHkyZOso6gUxXlbR75ibGwMf39/PHjwgAqAEvt8WjwxMRGHDx8uNC3esmVLuUyLv3r1ChkZGTTlTZTS2bNn4ejoiLy8PNy7d08hyyTw/5ue5+fn06bnCkosFsPa2pp1DJVDhVLB2dvbY8OGDdi8eTMEAgHrOKSUjIyM0L9//0Ll0tTUVC7lUiQSAQAVSqJUOI7D0qVL0atXL7Rt2xZhYWFo0KAB61jfZWZmBoFAgFu3bmHOnDms45DPfPz4EXFxcfRAThmgQqkERo0aBR8fHwwfPlz6dBpRfj9TLtetW4fnz5/L5H4ikQjlypWDhYWFTK5HSFlLS0uDl5cX5syZg7lz5+LkyZOoWLEi61g/pX379lixYgVWrlyJEydOsI5D/ic2NhYSiYQKZRmgNZRKomCfMx0dHYSGhqJChQqsI5EykpqaWmjNZU5ODpydnaVrLuvUqVOi606YMAEXL16khehEKRSsl3z+/DkOHTqksFPc38NxHLy8vHD58mVERETQNKsCCA4OhqurK169ekWHh8gYjVAqCUNDQ/j7+yMmJgZjx45lHYeUoYKRyxMnTiAhIQGHDx9GtWrVMGvWLJibm5d45JLO8CbK4ty5c9L1kmFhYUpZJgFAQ0MD+/btQ/Xq1eHh4YGMjAzWkdRedHQ09PX1UaNGDdZRVA4VSiXSuHFjbNu2Dfv27cO+fftYxyFyIMtySXtQEkXHcRyWLVuGnj17ok2bNkqxXvJHjIyMEBgYiNjYWPz222+06TljBWd4a2hosI6icqhQKpnBgwdj2LBh+P333/HPP/+wjkPk6Efl0tnZ+ZvlMisrC8+fP6dCSRRWeno6vL29MXv2bMyZMwfBwcFKs17yRxo1aoTdu3fjyJEj2Lp1K+s4aq2gUBLZozWUSigrKwvOzs7Izs5GeHg4jIyMWEciDKWmpuL06dMQCoXSNZdOTk7Ss8Xr1KmDBw8eoGnTprh9+zZat27NOjIhhcTExMDNzQ3Pnj3DwYMH4e7uzjpSmRg/fjy2b9+OmzdvwtnZmXUctVSzZk0MGzYMixYtYh1F5VChVFLR0dGwt7dHjx49cOzYMRq+JwC+XS5tbGxw6NAhJCYmokqVKqxjEiJ1/vx59O3bF1WrVsWJEyfQsGFD1pHKzMePH9GhQwc8f/4cUVFRMDU1ZR1JraSnp8PQ0BAHDx7EwIEDWcdROTTlraSsra2xZ88eCAQCmkIhUkZGRujXr590WvzIkSOoUaMGjh07BgDo1asX1q5di2fPnjFOStQdx3FYvnw5evTogdatWyMsLEylyyQA6OjowM/PDx8/fkTfvn2Rn5/POpJaiY6OBgCa8i4jVCiVmLe3N8aNG4eJEyciPDycdRyiYArKZVBQEDw8PGBtbY0aNWpg9uzZqFu3LpydnalcEibS09PB4/Ewa9YszJ49G8HBwahUqRLrWHJRs2ZNHD9+HNevX8fcuXNZx1ErBfs40/ZNZYMKpZJbs2YNmjdvDm9vb3z48IF1HKKgYmNj0aZNGwQFBRUauaRySeQtJiYGLVu2xPnz5xEQEIDFixdDU1O9fhR16tQJy5Ytw/Lly+k8aTkSi8WoUqUKKleuzDqKSlKvv8UqSEdHB0KhEKmpqRg8eDAkEgnrSETBcBxXaMugz0cuExMTqVwSuTl//jwcHR2Rk5ODe/fuwcPDg3UkZqZNmwY3NzcMGjQIMTExrOOoBXrCu2xRoVQB5ubmOHToEE6dOoW1a9eyjkMUzJs3b5CWllbklkGGhoaFyuXRo0cLlUsnJycql6TUOI7DihUr0KNHD7Rq1Uot1kv+iIaGBvbv349q1arB09MTmZmZrCOpvOjoaCqUZYgKpYro2bMnZsyYgZkzZ+LWrVus4xAFIhKJAOCHe1AaGhqib9++hcqlmZkZlUtSKunp6eDz+Zg5cyZmzZqlVuslf6RixYoICAhAdHQ0Ro0aRZuel6GCmRoqlGWHCqUKWbx4MVq3bg0fHx8kJCSwjkMUhEgkgpaWFurVq/fTn1NUuaxZs2ahcrlmzRoql+S7njx5gpYtW+Ls2bMICAjAkiVLoKWlxTqWQmnSpAl27dqFQ4cOYfv27azjqKykpCQkJydToSxDVChViLa2No4fP468vDz079+ftqQgAD4VSktLS+jo6JTo8wvKZWBgYKFyOWfOHCqX5JsuXLgABwcHZGdnq/16yR/p378/fv/9d0yYMAFhYWGs46ikgie8qVCWHSqUKqZgz8GrV69i8eLFrOMQBfD48WOZHbn4rXI5d+7cQuXy6dOnMrkfUT4cx2HlypXo0aMHWrZsifDwcDRq1Ih1LIW3du1a2NnZwcvLC+/evWMdR+UUFMrizNSQ4qFCqYI6deqEhQsXYtGiRbh48SLrOISxz5/wlqXPy2VCQkKhcmlhYUHlUg0VrJecMWMGZsyYgVOnTtF6yZ9Uvnx5+Pn5ISsrizY9LwNisRi1a9dGhQoVWEdRWXT0ooqSSCTo0aMHIiMjcf/+fdSsWZN1JMJATk4OKlSogO3bt2PEiBFyuWdaWhrOnDkDoVCIc+fOITs7G46OjtKzxevWrSuXHES+njx5And3d8TGxuLAgQPw9PRkHUkpXblyBb/++itmzpyJJUuWsI6jMry8vJCcnIzLly+zjqKyaIRSRWlqauLw4cMoX748+Hw+cnNzWUciDMTExEAikZTJCOW3GBoawsfHRzpyeezYMdSqVUs6ctmiRQsauVQxFy5cgKOjI7KysnDv3j0qk6XQuXNnLFmyBEuXLsWpU6dYx1EZtAdl2aNCqcKqVKkCoVCIe/fuYdasWazjEAZ+dsugslJUuaxdu3ahcrl69Woql0qK4zisWrUKPXr0gLOzM8LCwmi9pAxMnz4dffr0wcCBA/HkyRPWcZSeRCKhPSjlgAqlimvVqhVWrlyJNWvW0BFfakgkEqFSpUowNTVlHUVaLgMCApCYmCgtl/PmzaNyqYQyMjLg4+OD6dOnY/r06Th16hSMjY1Zx1IJmpqaOHDgAKpUqUKbnsvAq1evkJ2dTYWyjNEaSjXAcRw8PDxw/fp1REVFwcLCgnUkIie+vr54/PgxQkNDWUf5pvT0dJw+fRp+fn44e/asdM2lt7c3vL29ac2lAoqNjYWbmxtiY2Oxf/9+eHl5sY6kkh48eABnZ2fweDzs27cPGhoarCMppStXrsDFxQXR0dGwsrJiHUdl0QilGtDQ0MC+fftQuXJleHt7Iycnh3UkIiey3DKorBgYGNDIpRK5ePEiHBwckJmZidDQUCqTZeiXX37Bjh07cODAAezatYt1HKUlFouhra1Nb07LGBVKNVGpUiX4+fnh4cOHmDRpEus4RA4KjhpT9EL5uR+VS0dHR6xevRpxcXGso6qdgvWS3bt3h5OTE8LDw9G4cWPWsVTewIEDMWrUKIwbNw7h4eGs4yglsViMevXqQVtbm3UUlUZT3mpmx44dGDVqFI4dOwYfHx/WcUgZSkhIQLVq1eDv76/0T92mp6dLtyIqmBZ3cHCQbkVEyzjKVkZGBoYNGwaBQICZM2di8eLFdISiHOXk5KBdu3Z48+YNIiMjUaVKFdaRlErPnj2hqalJT82XMRqhVDMjR45Ev379MHz4cDx+/Jh1HFKGWD/hLUsGBgbg8/nSkcvjx4+jTp06mDdvHiwtLWnksgzFxsaiVatW0nWuy5YtozIpZwWbnmdkZNCxuiVAWwbJBxVKNaOhoYEdO3agTp068Pb2pqcHVZhIJIKGhobKLUIvqlyam5sXKperVq2icikDly5dgoODAzIyMmi9JGN16tTBsWPHcOnSJSxcuJB1HKXx8eNHxMXFUaGUAyqUasjAwAD+/v6IjY3FmDFjQKseVJNIJIKFhQV0dXVZRykzBeXS39+/ULmcP38+lctS4DgOq1evRrdu3dCiRQtaL6kgunTpgsWLF2Px4sU4c+YM6zhKIS4uDvn5+VQo5YDWUKqxQ4cOYdCgQdizZw+GDh3KOg6Rsd69eyM/Px9nz55lHUXuCtZcFmxFlJWVBQcHB+lWRLTm8tsyMjIwfPhwHD9+HDNmzMCSJUtoiluBSCQSuLm54datW7QN3E84ffo0evfujZcvX9IRxGWMCqWaGzlyJA4dOoTQ0FA0bdqUdRwiQzY2NujZsyfWr1/POgpTVC5/XlxcHNzc3BATE4P9+/fD29ubdSRShA8fPsDBwQEVK1bEnTt3oKenxzqSwlq3bh3mzp2L9PR02sezjNGUt5rbuHEj6tevD29vb6SmprKOQ2Tk48ePiI2NVYkHckrr82nxhIQECAQCmJubY8GCBbC0tISDgwNNiwO4fPkyHBwckJ6ejtDQUCqTCszY2BgBAQF49OgRxo4dyzqOQit4IIfKZNmjQqnm9PT04Ofnh7dv32L48OG0nlJFxMbGIj8/nwrlFwwMDMDj8QqVy7p166p1ueQ4DmvWrEHXrl3h4OCA8PBwNGnShHUs8gPNmjXDtm3bsHfvXuzevZt1HIVFT3jLDxVKAisrK+zduxd+fn7YvHkz6zhEBlRpy6CyUlS5tLCwKFQuV65cidjYWNZRy0xmZib69++PqVOnYurUqTh79iwqV67MOhb5Sb6+vhg5ciTGjh2LyMhI1nEUklgshrW1NesYaoHWUBKpP/74A1u3bsXt27fRokUL1nFIKaxatQpLlixBSkoKTfUUU0ZGhnTN5ZkzZ5CVlQV7e3vpmktLS0vWEWUiLi4O7u7uiI6Oxr59+8Dj8VhHIiWQnZ2Ntm3bIjExEZGRkTAxMWEdSWGkp6fD0NAQBw4cwKBBg1jHUXlUKInUx48f0b59e7x+/RpRUVE0UqHEhg4din/++YeOaislVS2Xly9fBp/PR6VKlRAUFIRffvmFdSRSCs+ePYOdnR1atGiB06dP01P5/3P//n00b94cISEhcHZ2Zh1H5dGUN5HS0dGBQCBAWloaBg0aBIlEwjoSKSFlO8NbUenr64PH48HPzw+JiYnSafGFCxeiXr16SjctznEc1q5dW2i9JJVJ5Wdubo5jx47hwoULWLJkCes4CkMsFgMAraGUEyqUpJA6derg8OHDOHPmDFavXs06DikhKpSy92W5FAqFhcqlvb29QpfLgvWSU6ZMwZQpU2i9pIr59ddfsXDhQixcuBDnz59nHUchiMVimJiY0J9zOaEpb1Kk2bNnY+XKlbh69SratWvHOg4phqSkJFSpUgUCgYDWxclBRkYGzp49C6FQKJ0Wt7OzA4/HU5hp8adPn8Ld3R1isRh79+4Fn89nHYmUAYlEgt69eyMkJARRUVGoW7cu60hMDR48GNHR0bh79y7rKGqBCiUpUl5eHrp06QKRSIS//voL1apVYx2J/KS7d++idevWuH//Pm1WL2cF5dLPzw+nT5+WlsuCNZf16tWTe6YrV66Az+fDyMgIJ06coCluFff+/XvY29vDxMQEt2/fVumjV3+kZcuWsLW1xf79+1lHUQs05U2KpK2tjaNHj0IikaBfv37Iz89nHYn8pIItg2irDPnT19eHt7c3hEKhdFq8Xr16WLRoEaysrGBvb48VK1bgyZMnZZ6F4zisW7cOv/76K+zs7BAREUFlUg1UrlwZAQEBePjwIcaNG8c6DlO0B6V8UaEk31SjRg0cO3YM169fx8KFC1nHIT9JJBLB3NwcFSpUYB1FrbEsl5mZmRgwYAAmT56MyZMn03pJNWNnZ4etW7di9+7d2Lt3L+s4TCQlJeH9+/dUKOWIprzJDy1duhRz587FuXPn0LVrV9ZxyA+4ubkhKysLFy5cYB2FFOHzafEzZ84gMzNTptPitF6SFBgxYgQOHTqEu3fvws7OjnUcuQoJCUGrVq1o6Y8cUaEkPySRSNCrVy+EhYXhr7/+Qu3atVlHIt/RoEEDdOnSBZs2bWIdhfyArMvl1atXwePxYGhoiBMnTtAPUjWXnZ2NNm3aICkpCZGRkWo1Sn3gwAH4+voiPT0d+vr6rOOoBZryJj+kqamJQ4cOoUKFCvDx8UFubi7rSOQb8vLy8OTJE9oySEl8Pi2ekJAAPz8/1KtXD4sXL4aVlRXs7Ox+alq8YL1kly5d0Lx5c0RERFCZJNDV1YW/vz9SUlIwcOBAtdpbWCwWo1atWlQm5YgKJfkpJiYmEAgECAsLw8yZM1nHId8QFxeH3NxcKpRKSF9fH15eXoXKpZWV1Q/LZWZmJgYOHChdL3nu3Dk6fo9I1a1bF0eOHMG5c+ewdOlS1nHkhh7IkT+a8ibFsmHDBkycOBFBQUFwc3NjHYd84fTp0+jduzeeP39OSxNUREZGBs6dOyfdiigzMxPNmzeHt7c3WrVqhT/++AMikQh79+6Fj48P67hEQS1YsACLFi1Sm7XwTZs2RatWrbBt2zbWUdQGFUpSLBzHwcvLC1euXEFUVJRCbNpM/t/atWsxf/58pKamQlOTJiBUTWZmpnTN5cmTJ5GTkwMdHR389ttvGD9+PKysrFhHJApKIpGgZ8+eCAsLQ1RUFMzNzVlHKjMSiQSGhoZYsmQJJk6cyDqO2qCfOKRYNDQ0sHfvXlSpUgXe3t7Izs5mHYl85vHjx7CxsaEyqaIqVKgAT09PODs7Iy8vD02aNEH37t2xZ88eWFtbw87ODsuXL0dMTAzrqETBaGpq4vDhwzA0NISXl5dKf++Oj49HZmYmTXnLGf3UIcVWsWJF+Pv7499//6V3fwqGzvBWbQXrJSdNmoSJEyciKioKJ06cQGJiIvz8/GBtbY0lS5ZQuSRFMjExQUBAAP755x9MmDCBdZwyIxaLAYAKpZxRoSQl0qxZM/z555/Yvn07jh49yjoO+R8qlKrr2bNnaNOmDQIDA3H06FGsXr0a2traAD6NXHp5eUEgECAxMRH+/v6FymXz5s2pXBIAgL29PTZv3oydO3eq7JGEYrEYWlpaan+WubzRGkpSYhzHYdCgQQgKCkJ4eDgaNGjAOpJaS05OhrGxMY4ePYq+ffuyjkNk6Nq1a+DxeDAwMEBQUBCaNWv2U5+XmZmJc+fOQSgUSh/oadasGXg8Hry9vWnNpRobNmwYjh49ipCQkJ/+86QsJk2ahNOnT0tHKol8UKEkpZKRkYEWLVoAAMLCwmjPL4bu3bsHZ2dnREZGqt2pGKqK4zhs3LgRU6ZMQYcOHXD8+HFUqVKlRNcqKJd+fn44deqUtFwWbKJOZ7+rl6ysLLRu3RopKSmIiIiAsbEx60gy06tXLwCfdr0g8kNT3qRU9PX14efnh6dPn2L06NGg9yfsiEQiALRuSFVkZWVh0KBBmDhxIv744w+cP3++xGUS+P8Heo4fPy6dFre1tcXSpUthY2OD5s2bY9myZYiOjpbhV0EUlZ6eHvz9/fH+/XsMGjRIpTY9pz0o2aBCSUqtYcOG2LlzJw4dOoQ9e/awjqO2RCIRatWqBQMDA9ZRSCk9f/4cbdq0QUBAAI4cOYI1a9ZI10vKwrfK5bJly6hcqhFLS0scPnwYp0+fxvLly1nHkYnc3FzExsZSoWSApryJzIwaNQr79+9HaGioyq3JUQaenp5ISUnB5cuXWUchpXD9+nV4e3tDX18fJ06ckOvfpc+nxU+fPo2MjAyaFlcD8+bNw5IlS3DhwgV06dKFdZxSEYvFsLW1xZUrV9CpUyfWcdQKFUoiM9nZ2WjVqhXS0tIQERGBihUrso6kVho3boz27dtjy5YtrKOQEuA4Dps2bcLkyZPRvn17CASCUk1xl1ZmZibOnz8vfaAnIyMDTZs2lT7QQ+VSdeTn56NHjx6IjIxEVFQU6tSpwzpSiZ05cwa9evXCixcvUKtWLdZx1ApNeROZ0dXVhZ+fHxITEzFs2DBaTylH+fn5iImJoS2DlFRWVhYGDx6MP/74AxMmTMCFCxeYlkng07S4h4cHjh8/joSEBAQEBKB+/frSafFmzZrRtLiK0NLSwtGjR6Xnyefk5LCOVGJisRgVKlSAmZkZ6yhqhwolkal69eph3759CAgIwKZNm1jHURvPnj1DTk4OFUol9Pz5c7Rt2xb+/v44cuQI1q5dK9P1krJQVLls0KABlUsVYmJiAn9/f/z9999KfWCFWCyGtbU1nRbGAP0XJzLn7u6OiRMnYsqUKQgNDWUdRy0UPOFNhVK5XL9+HQ4ODnj37h3u3LmDfv36sY70QwXl8tixY0hMTCyyXC5dupT2AFRCjo6O2LRpE7Zt24ZDhw6xjlMiBYWSyB8VSlImVq5cCUdHR/B4PCQlJbGOo/JEIhF0dXWVeu2TOilYL+ni4oImTZogIiICzZs3Zx2r2PT09Iosl8uXL4etrS2VSyU0cuRIDB48GL/99hsePHjAOk6x0ZZB7FChJGWiXLlyEAgE0rOHVWmPM0X0+PFj2NjY0DSPEsjKyoKvry8mTJiA8ePHK8R6SVmgcqkaNDQ0sHXrVtjY2MDDwwPJycmsI/20jIwMvHz5kgolI/TTh5SZ2rVr4/Dhwzh//jxWrlzJOo5KozO8lcOLFy/Qtm1bCIVCHD58GOvWrVO49ZKyQOVSuVWoUAEBAQF49+4dBg8erDQDAgVn1VOhZIMKJSlT3bp1w+zZszFnzhxcv36ddRyVRYVS8d24cQP29vZITEzEnTt30L9/f9aR5OLLchkYGFioXDZt2pTKpQKqV68eDh8+jODgYKUZECj4M0SFkg0qlKTMLViwAO3bt4ePjw/evHnDOo7KSU1NxevXr6lQKqiC9ZKdO3dG48aNERERobZnrevp6cHd3b1QuWzYsCGVSwXVq1cv6YDAlStXWMf5IbFYjMqVK8PExIR1FLVEG5sTuXjz5g2aN2+O+vXr4/Lly9DS0mIdSWVERETA0dERYWFhcHR0ZB2HfCY7OxujRo3CgQMHMHHiRKxatUolp7hLKysrC+fPn4efnx+Cg4ORkZGBX375RXpCD71ZYic/Px/dunXD/fv38ddffyn0ZuG+vr4QiUQICQlhHUUt0QglkYvq1avj+PHjuHnzJubPn886jkqhLYMUU8F6SYFAgEOHDqnseklZKBi5PHr0qHTkslGjRlixYgXq16+Ppk2bYsmSJdI/60R+CjY919PTg7e3Nz5+/Mg60jfRE95sUaEkctO+fXssWbIES5cuxblz51jHURmPHz9GjRo1YGRkxDoK+Z+C9ZIJCQm4c+cOBgwYwDqS0vhWuVy5ciWVS0aqVq0KPz8/REZGYtKkSazjfBPtQckWFUoiV9OnT0ePHj0wcOBAvHjxgnUclUAP5CgOjuPw559/wsXFBY0aNVLr9ZKy8Hm5TEhIoHLJkJOTEzZu3IgtW7bgyJEjrON8JSkpCUlJSTRCyRAVSiJXmpqaOHjwIPT19cHj8RR6+kRZUKFUDNnZ2RgyZAjGjx+PsWPH4tKlS6hatSrrWCrjy3IZFBRUqFz+8ssvVC7L2KhRozBw4ECMGDEC//zzD+s4hRQc+0mFkh0qlETuTExMIBQKERkZiRkzZrCOo9QkEgmio6OpUDL2+XrJgwcPYv369bResgzp6enBzc2tULls3LgxlcsypqGhge3bt8Pa2hoeHh5ISUlhHUmqYGcAKysrxknUFxVKwoSTkxPWrFmD9evXIzAwkHUcpfXixQtkZWVRoWTo5s2bcHBwwNu3b3Hnzh0MHDiQdSS1UlS5bNKkSaFyuXjxYjx+/Jh1VJVQsOl5YmIifH19oSgbxYjFYtSsWRMGBgaso6gtKpSEmXHjxsHLywtDhgyRnnBAioee8GaH4zhs3rwZnTt3RsOGDREZGUnrJRkrKJdHjhwpVC5XrVqFBg0aULmUESsrKxw4cAAnTpzAqlWrWMcBQE94KwIqlIQZDQ0N7N69G6ampvD29kZ2djbrSEpHJBJBR0cHdevWZR1FrWRnZ2Po0KEYN24cfv/9d1y8eJHWSyoYKpdly9XVFTNmzMCsWbNw7do11nGoUCoAKpSEqYoVK8Lf3x+PHj3ChAkTWMdROo8fP4a1tTVtFC9HL1++RLt27XD8+HEcPHgQGzZsQLly5VjHIt9B5bJsLF68GB06dICPjw9evXrFLAfHcYiOjqZCyRgVSsJc06ZNsXnzZuzcuROHDx9mHUep0BPe8nXr1i3Y29vjzZs3uH37Nq2XVEKfl8vExEScOHGCymUJaWtr49ixYyhXrhzTTc/j4+ORmZlJhZIxKpREIQwbNgyDBg3Cb7/9hv/++491HKVBhVI+OI7Dli1b0KlTJzRo0AARERGwt7dnHYuUkq6uLlxdXb9ZLps0aULl8gdMTU3h7++PiIgITJkyhUmGgie8aVNztqhQEoWgoaGBrVu3wsLCAl5eXkhPT2cdSeFlZGTg5cuXVCjLWHZ2NoYNG4axY8dizJgxuHTpEkxNTVnHIjJWVLls2rQpVq9eTeXyB5ydnbF+/Xr8+eefOHbsmNzvLxaLoaWlBQsLC7nfm/w/KpREYejr68PPzw/Pnz/HqFGjFGY7CkVV8K6cCmXZefnyJdq3b4+jR4/iwIED2LhxI62XVAMF5fLw4cNISEgoslwuWrQIjx49Yh1VYYwZMwb9+/fH8OHD8fDhQ7neWywWw8LCAjo6OnK9LylMg6Of2kTBHDt2DP369cOOHTswcuRI1nEU1vHjx9G3b1+8f/8exsbGrOOonFu3bsHLyws6OjoICgqCg4MD60iEsezsbFy4cAF+fn4IDg5GWloaGjduDG9vb3h7e6NBgwasIzKVkZEBZ2dnfPz4EeHh4TAyMpLLfXv37g2JRIIzZ87I5X6kaDRCSRRO3759MXr0aIwfPx5RUVGs4yisx48fw9TUlMqkjHEch61bt6JTp06oX78+IiMjqUwSAN8euVyzZg0aNmyo9iOX+vr6CAgIwJs3bzBkyBC5zTLRlkGKgQolUUjr1q1Do0aN4O3trVDHeykSeiBH9rKzszF8+HD8/vvvGD16NC5fvkzrJUmRqFwWzcbGBvv370dgYCDWrl1b5vfLzc1FbGwsFUoFQIWSKCRdXV34+fkhKSlJru90lQkVStl69eoV2rdvjyNHjmD//v3YtGkTrZckP+XLcnny5MlC5bJx48ZqVS7d3d0xbdo0zJgxAzdu3CjTez19+hR5eXlUKBUAFUqisCwtLXHgwAEEBQVhw4YNrOMoFI7jIBaLqVDKyO3bt2Fvb4/4+HjcunULgwcPZh2JKCldXV306dOnULls1qyZ2pXLpUuXol27duDz+YiPjy+z+0RHRwMAFUoFQIWSKDRXV1dMnjwZ06ZNQ0hICOs4CuPVq1fIyMigQllKHMdh27Zt6NixI2xtbREREQFHR0fWsYiKKKpcNm/evFC5XLhwoUruvVuw6bmWlhZ4PB5yc3PL5D5isRi6urqoWbNmmVyf/DwqlEThLV++HC1atACPx8O7d+9Yx1EIIpEIAG0ZVBo5OTkYMWIExowZI10vWa1aNdaxiIoqKJeHDh0qVC7Xrl2LRo0aqWS5rFatGvz8/HDv3j1MnTq1TO4hFothbW0NTU2qM6zR/wNE4ZUrVw4CgQDZ2dkYMGAAJBIJ60jMiUQilCtXjjbyLaGC9ZKHDx/Gvn37aL0kkatvlcuChxFVqVy2atUK69atw8aNG3H8+HGZX5+e8FYcVCiJUqhVqxaOHDmCixcvYvny5azjMPf48WPUq1ePSlAJFKyXfPnyJW7dugVfX1/WkYga+7xcvn37ViXL5dixY9G3b18MHz5c5l8HFUrFQYWSKI1ff/0Vc+fOxbx583Dt2jXWcZiiJ7yLj+M4bN++HR07doSNjQ0iIyNpvSRRKF+OXAYHBxcql40aNVLKcqmhoYGdO3fC3Nwcnp6eSEtLk8l1MzMz8eLFCyqUCoIKJVEq8+bNQ8eOHdG3b1+8fv2adRxmqFAWT05ODkaOHInRo0dj1KhRuHLlCq2XJAqtfPny6N27d6FyaWdnp7Tl0sDAAIGBgXj16hWGDh0qk63gYmJiANAT3oqCCiVRKlpaWjhy5Ag0NTXRt29f5OXlsY4kd1lZWXj+/DkVyp9UsF7y4MGD2Lt3L/78809aKkCUSlHl0t7evlC5XLBgAf7991/WUb/L1tYW+/btg7+/P9avX1/q64nFYgBUKBUFFUqidKpVq4bjx4/j9u3bmDdvHus4chcdHQ2O46hQ/oQ7d+7AwcFBul5yyJAhrCMRUioF5fLgwYOFyuX69evRuHFjhS+Xnp6emDJlCqZNm4abN2+W6lpisRjGxsYwMTGRUTpSGlQoiVJq164dli5diuXLl+Ps2bOs48gVbRn0c3bs2IGOHTvC2toakZGRaNGiBetIhMiUspbL5cuXo02bNuDz+aVauhQdHQ0bGxtoaGjIMB0pKSqURGlNnToVvXr1wsCBA/H8+XPWceTm8ePHMDExQZUqVVhHUUgF6yVHjRqFkSNH0v6SRC0oU7nU1tbG8ePHoaGhUapNzwv2oCSKgQolUVqampo4cOAADA0NwePx8PHjR9aR5IIeyPm2+Ph4dOjQAQcOHMDevXuxefNm6OjosI5FiFx9WS5PnTqlcOWyevXq8PPzQ2hoKGbMmFGia9CWQYqFCiVRapUrV4ZQKERUVBSmTZvGOo5cUKEs2t27d2Fvb48XL17QeklC/qd8+fLo1avXN8tlw4YNmZXL1q1bY/Xq1Vi3bh38/PyK9bnv37/Hu3fvqFAqECqUROm1aNFCehKDv78/6zhliuM4KpRF2LFjBzp06AArKytERETQeklCilBUuXR0dGRaLidMmAA+n4+hQ4fi0aNHP/150dHRAOgJb0WiwcliMyhCGOM4Dnw+H+fPn0dkZKTKrqt5/fo1zMzMEBQUBDc3N9ZxmMvJycG4ceOwa9cujBkzBuvXr6cpbkKKKScnB5cuXYKfnx9OnDiB1NRUNGjQAN7e3uDxeGjUqFGZ3j89PV36JjAsLAwGBgY//JxDhw5h0KBBSEtL+6nXk7JHhZKojNTUVDg4OKBChQoICQmBnp4e60gyd/36dXTs2BH//fcfGjRowDoOU/Hx8fDy8kJkZCS2bduGoUOHso5EiNL7vFyePHkSKSkpcimXjx8/hqOjI3r06CF9YOdLeXnpyMqKAcflYNu23dix4zRiY9X3gAtFQ4WSqJQHDx7AyckJAwYMwK5du1jHkbnt27dj7NixyMzMVOuRuLt378LT0xOampoIDAyEk5MT60iEqJzvlUtvb280atRIplv2+Pv7w9vbG+vXr8cff/wBAMjI+A/x8duRlHQW2dmxAP6/snAcoKdXDyYmPWBmNgr6+g1lloUUHxVKonL27t2LYcOG4cCBAxg0aBDrODI1ceJEnDlzRnpChDrauXMnxo4dixYtWsDf3x/Vq1dnHYkQlZeTk4PLly9DKBSWabmcPHkyNm3ahKtXj8DIaDc+fLgEQBvA905F+/RxY+MusLHZAT09i1LnIMVHhZKopCFDhkAoFCIsLKzM1//IU48ePaClpYVTp06xjiJ3OTk5GD9+PHbu3InRo0djw4YNaj1KSwgrRZXL+vXrg8fjlbpc5ubmYurURujRIxo6OloA8ovx2drQ1NSGldWfMDMbXqL7k5KjQklUUmZmJpycnJCXl4fw8HCVWbRdr149uLu7Y82aNayjyNXr16/h6emJyMhIbN26FcOGDWMdiRAC2ZfLZ8+WIi5uDjgOKM2Ap4XFEpibzy75BUixUaEkKkskEsHBwQF9+vTB4cOHlf54rpycHFSoUAHbt2/HiBEjWMeRm5CQEHh6ekJDQwMBAQFwdnZmHYkQUoSCclnwtHhBufz8gZ7vfR+Oj98N8f+1d+9BUZ13H8C/rKuwolECXgARVpfdamJURGNAJNZiNYQkUJGYmqoRQTR9E6v2kjeNthPb2DY1co2tJl5aWhWcdEZN+prEGDXVqNg0qcMuC0QNKGwQUGBhd9nz/rGyguwiy14Ol+9nxgkjh+f8ziSQL8/vOc+jcd3PNpVqFwID+cunp3AfSuq3VCoVdu3ahfz8fOzcuVPscpym1WphNpsH1B6Uf/7znxEbG4sJEybg4sWLDJNEvZi3tzfi4+OxZ88eVFVV4ciRI3j00UeRmZmJKVOmYPLkyXjttdfw1Vdf4d65LL2+HFrtj7t9r6NHgXnzgEWL7F9TUvIi9Prynj4OOYiBkvq1lJQUrFu3Di+99BIuXrwodjlOUavVADAgAqXBYLCexZ2amoqPP/6YL98Q9SHdDZdffvklBEGARpMOs7mrF2/u0umAvDwgIKDr68xmEzSadBc8DXUHW97U77W0tGDOnDmoqalBUVERRo4cKXZJPfKb3/wGv//973Hz5s0+377vyvXr17F48WJcuHABOTk5SE3l4nqi/sJgMHTYRL2+vh6PPy7H5s3dn0l85RXL+srhw4GTJ4H33+/6+pkzL8PXd2Dv2+sJnKGkfs/b2xsHDx5EbW0tVq5c2anV0le0HbnYn8Pk2bNnMWPGDJSXl+PkyZMMk0T9zJAhQ6wzl9XV1Th69CiSk73R2s2XuY8fB774ArizTWU3SFFZmdfDaskRDJQ0IMjlcuzduxfvvfce/vjHP4pdTo/09zO8d+3ahdjYWMjlcq6XJBoAhgwZgieeeAIREUYMGnT/62trgexsYPVqYNSo7t7FhJqa+0xhkkswUNKA8dRTT2HTpk342c9+hjNnzohdjkMEQei3gdJgMCAjIwOrV6/GCy+8gBMnTiAwMFDssojIA0ym23dOwLm/t94CQkKAp5927B7NzaUwmRocL44cwkBJA8rWrVvx2GOPISUlBTqdTuxyuk2n06Gurq7fBcrr169j3rx52L17N/70pz8hLy+Pm5UTDSB6fSnaH6doz8mTwL/+BWzc2JP9KQXo9dqelEcOYKCkAWXw4MH4+9//DoPBgGXLlsFsNotdUrf0xze8z549i8jISOt6yYG0tyYRWZjNzfe9Rq8HduwAEhMtb3Y3NFj+GI2Wzzc0WK7piiC0uKBa6opU7AKIPC04OBj5+flYsGABtm7dil/+8pdil3RfxcXFkEgkUCgUYpfiErt378batWsRGRmJgoICtriJ+rmmpiZotVqo1WpoNBpoNBqo1WoYDJdxv2Xt9fWW9ZMHD1r+3CshAYiOBl5/3f4YXl7ezj0A3RcDJQ1I3/ve97B582Zs3rwZUVFRmD9/vtgldUmtViMsLAw+Pj5il+IUg8GAl19+GXl5eUhPT0dmZiZb3ET9RGtrK65cuWINi+2D47Vr16zX+fv7Q6lUYtKkSfjOdxZCEH7VZRv7wQeB7ds7/31+vuWN723bgBEjuqrMCzJZ//hlvDfjPpQ0YLW2tmLhwoX4z3/+g0uXLiEoKEjskuxKSEhAa2srjh07JnYpPXbjxg0sXrwYn3/+OXJyctjiJuqDBEHAt99+2ykwajQaaLVaGAwGAICPjw/Cw8OhVCqhVCqhUqmsH/v7+3cY8+xZBZqbSx2u5Y03urcPpY+PArNnlzg8PjmGM5Q0YA0aNAh//etfMX36dCxduhQfffQRpNLe+S2hVqsRHx8vdhk9du7cOSQlJUEQBJw8eRKPPfaY2CURUReamppQUlJiMzjW1dUBALy8vBAaGgqVSoX58+cjIyPDGhxDQkIgkXTvNQ1//ydQUZEHoHsn5ThGCn//Ls5nJJfhDCUNeKdPn8bjjz+OjRs34o033hC7nE4MBgOGDh2K7OxsrFmzRuxyHPbOO+8gIyMDM2bMQEFBQa+eCSYaSFpbW/H11193CowajaZDizogIMDmTKNCoXDJMpzGxss4f/4hp8exhyfleEbvnI4h8qA5c+bgt7/9LX76059izpw5ePLJJ8UuqYOysjK0trb2uTe826+XTEtLQ2ZmJry9uTCeyJMEQYBOp7M501haWtqpRa1SqfD88893CI4PPvigW2v09Z0MP7841NaegGtnKaXw85vHMOkhnKEkguWH7tNPP43Tp0+jqKgIYWFhYpdk9Y9//APPPPMMKioq+szs3o0bN5CcnIxz584hOzsbaWlpYpdE1K81NjaipKSkQ2Bs+2d9fT0AS4s6LCys00yjSqXCuHHjut2idge9vhznz0/u1jZC3SWR+GDmzMuQyeQuG5Ps4wwlESw/aPfu3YuIiAgsWbIEp06d6jWzacXFxRg+fHif2Vrn888/R1JSElpbW/HJJ58gKipK7JKI+gWTyWS3Rf3NN99YrwsICIBKpcLDDz+MpKQka3icOHFir90pQiaTQ6HIgkbjupf1wsOzGSY9iIGS6A4/Pz8cOnQI0dHR2LRpEzIzM8UuCcDdM7y9HD8ewuPa1ktGRESgsLCwz8yoEvUWgiCgurra5tY7paWlMN7ZzVsmk1lb1MuXL7fONIaHh7u9Re0uQUGpMBqrUF7+qtNjyeVbERi4ygVVUXcxUBK1ExkZie3bt2PdunWIiYlBcnKy2CX1iTO8DQYD1q9fj9zcXKxevRpZWVm9ZoaXqDdqaGjo1KJu+9PWopZIJNYW9YIFC6wzjSqVCsHBwaK2qN0lNPR/MXjwGGi1P4bZbIJjayqlkEikCA/PZpgUAddQEt1DEAQ899xzOHr0KC5cuAClUilqPQEBAXjppZd67Yk+VVVVWLx4Mc6dO4esrCykp6eLXRJRr9DWorb1QkxFRYX1ulGjRnVa09jWoh6ov5jp9eXQaNJRW3sclrmvroKl5fN+fnFQKneyzS0SBkoiG27fvo2ZM2fC29sbZ8+ehUwmE6WOmpoaBAQE4MCBA1iyZIkoNXSl/XrJgoICREdHi10SkUcJgoCqqiq7LWqTyRKEZDJZp8DY1qL28/MT+Sl6r8bGy6isfBs1Ne/f2fy8fWTxgo/PRPj7L0JQUAbf5hYZAyWRHV9++SUeffRRLF26FLt37xalhs8++wzR0dH497//jalTp4pSgz3vvvsuMjIyMH36dK6XpH6voaHB5sswGo0Gt27dAmBpUcvlcpt7NvbXFrUnmUwN0Ou1EIQWeHl5QyZTQCodJnZZdAfXUBLZMWXKFOTm5mLlypWIiYnBihUrPF5DcXExvLy8EB4e7vF722M0GrF+/Xrk5OQgNTUV2dnZA7YtR/2L0Wi026KurKy0Xjd69GgolUpMnToVycnJ1vA4YcIEfi+4kVQ6DMOHTxO7DLKDgZKoCytWrMCpU6ewdu1azJgxA1OmTPHo/dVqNcaPH4+hQ4d69L72VFVVITk5GWfPnkVeXh7S09P7xNvnRG0EQcCNGzc6BUa1Wo2ysjJri3ro0KHW2cWYmBjrx0qlEiNHjhT3IYh6Iba8ie6jqakJs2fPhsFgwPnz5zF8+HCP3fuZZ56BXq/HP//5T4/d057z588jMTERJpMJhYWFXC9Jvdrt27c7tKXbzzrevn0bwN0Wta0XYoKDg/nLEpEDGCiJukGj0SAyMhLx8fHIz8/32P9oJk2ahLi4ONH3xNyzZw/WrFmDadOmobCwEMHBwaLWQwRYWtTl5eU2T4e5fv269boxY8bYPB1mwoQJGDJkiIhPQNR/sOVN1A1KpRK7du1CSkoKYmJisHbtWrff02QyobS0FC+++KLb72WP0WjET37yE2RnZ2PVqlXIycnhGjHyKEEQcP36dZszje1b1L6+vtawOHfuXGt4DA8PZ4uayAMYKIm6qe1IxvXr12PWrFmIjIx06/3Ky8thNBpF29S8uroaycnJ+Oyzz5Cbm4s1a9awBUhuc+vWLZSUlHSaadRoNGhoaAAADBo0yNqijo+P7zDrGBQUxP8+iUTEljeRA1paWhATEwOdToeioiK37h935MgRJCQk4OrVqwgJCXHbfWy5cOECEhMTYTQaUVBQgDlz5nj0/tQ/GY1GlJWV2dyz8caNG9brxo4da3PrHbaoiXovzlASOcDb2xsHDx5EREQEVqxYgffee89tsyLFxcXw9fX1+HrFvXv3Ij09neslqUfaWtS2ZhrLysrQ2toKwNKibguLsbGxHVrUI0aMEPkpiMhRDJREDgoLC8O+ffuQkJCAN998Exs3bnTLfdRqNZRKpcc2QzYajdiwYQOysrLwwgsvIDc3l+slya5bt27ZnGnUaDRobGwEYGlRT5gwAUqlEgkJCR1mHQMDA9miJupH2PIm6qGf//zn+MMf/oBPPvnELS3huXPnIjg4GH/7299cPva92q+X3LFjBzIyMvg/e4LBYLDboq6qqrJeN3bs2A7HCbZvUQ8ePFjEJyAiT2GgJOohk8mE7373uygtLcWlS5cwevRol44/ZswYZGRkYMuWLS4d914XLlxAUlISDAYD10sOQIIgoLKy0uZMY3l5ubVFPWzYMJtb74SHh+OBBx4Q+SmISGwMlEROqKysxPTp0/HII4/ggw8+wKBBg1wybl1dHfz8/JCfn4+lS5e6ZExb9u3bh7S0NEydOhWFhYUYN26c2+5F4qqvr7c501hSUmJtUUulUmuL+t7gOHbsWM5aE5FdXENJ5ISgoCDk5+cjLi4Or7/+OjZv3uyScdVqNQC4bcuge9dL5uTkwMfHxy33Is8xGAwoLS21eaxgdXW19brAwECoVCrMmjULy5Yts4ZHuVzOFjUR9QgDJZGT5s+fjy1btmDLli2IiopCXFyc02MWFxcDsGyo7mrV1dVYsmQJzpw5g5ycHK6X7GMEQUBFRYXdFrXZbAYADB8+3Dq7OH/+/A4tak8eH0pEAwNb3kQuYDabsWjRIly6dAmXLl1yequdV155Bfv378e1a9dcVKHFxYsXkZiYiJaWFhQUFCAmJsal45Pr1NXV2ZxpLCkpQVNTEwBLi3rixIk292xki5qIPImBkshFdDodpk+fDrlcjo8//tip1uEPfvAD1NfX48MPP3RZfW3rJR955BEcPnyY6yV7gZaWFpstao1G06FFHRQUZHNdY1hYGFvURNQrsOVN5CKjRo3CgQMHEBsbi1dffRXbtm3r8VhqtRqxsbEuqctoNGLjxo3IzMzEypUrkZuby/WSHmQ2m1FRUdFpplGj0eDrr7/u0KJuC4xxcXHW4MgWNRH1BQyURC4UHR2Nbdu2YePGjYiOjsZTTz3l8Bitra3QarVIS0tzuh6dTofk5GScOXMG2dnZWLt2LdugblJbW2tzplGj0UCv1wO426JWqVRISkrqMOs4ZswY/rshoj6LLW8iFxMEAYmJiTh58iSKioogl8sd+vqysjJMnDgRH3zwAb7//e/3uI726yUPHTqEuXPn9ngssmhrUds6VlCn01mvCw4Ottuilkr5ezwR9T8MlERuUFdXh4iICPj7++P06dMOHWF47NgxxMfHo7y8HGFhYT26//79+5GWloYpU6agsLAQISEhPRpnIDKbzfjmm29s7tl45coVa4v6gQce6BQY21rUw4YNE/kpiIg8i78qE7nByJEjcejQIURFRWHDhg3Izs7u9teq1Wr4+Phg/PjxDt/XaDRi06ZN2LFjB1asWIG8vDyul7SjtrbW5tY7JSUl1hb14MGDrS3qxYsXdwiOo0ePZouaiOgOBkoiN5kxY4b1XOyYmBikpKR06+vUajWUSiUkEolD99PpdFiyZAlOnz6NrKwsrFu3bsAHnubm5g4t6vbB8dtvv7VeN27cOCiVSkRFRWHlypXWWUe2qImIuoc/KYncKD09HZ9++ilSU1Mxbdo0uyffmEwN0Ou1EIQW1NVdwEMPTXToPkVFRUhMTIRer8dHH300oNZLms1mXLt2zW6Lum1Vz4gRI6yziwsXLrR+rFAo2KImInIS11ASuVlDQwNmzpwJqVSKc+fOYejQoQCAxsbLqKx8GzU1x9DcXAbg7reiIAAy2UT4+z+BoKA18PWdbHf8v/zlL1i9ejUefvhhHD58uN+ul7x586bdFnVzczMAS4taoVDYfCFm1KhRA37GlojIXRgoiTzgq6++wqxZs5CSkoLc3Neg0aSjtvY4LE0CUxdfafm8n18clMqdkMnuvjFuMpmwadMmvPXWW1i+fDnefvvtPr9esrm5GVqt1mZwrKmpsV43btw4a2BsHxxDQ0PZoiYiEgEDJZGH7Nu3DwcOLMeGDYMhkQjoOkjeSwqJRAqFIgtBQanQ6XRISUnBp59+iu3bt+PFF1/sM7NvZrMZV69etblno60W9b0zjQqFAr6+viI/BRERtcdASeQhV65sRXn5qxAEwJns5+29Fs8+ewR6vR6HDh1y2Yk6rlZTU2PzdJiSkhK0tLQAAIYMGWJtUbefbVSpVAgICOgzIZmIaKBjoCTygMrKXdBoVrtsvIMHQ/GLX5wSfb2kXq+HVqu1+ULMzZs3rdeFhITY3LMxNDQUgwYNEvEJiIjIFRgoidxMry/H+fOTYTY3u2Q8QQAkEh/MmnW5w5pKd2ltbbXbor569aq1RT1y5MhO6xrbWtRtLyIREVH/xEBJ5GZffLEAtbUnYGvNZFERcPw48N//AjodMGwYoFQCP/oRYGeHoTuk8PObh6lT/88lNQqC0KlF3faxVqvt0KIODw/vNNOoVCrZoiYiGsAYKIncqLHxMs6ff8ju57dsAW7dAmJjgdBQoL4eOHgQUKuB3/0OiIjoevyZMy/D13dSt+tpamqy26Kura21Xjd+/PhOM41KpRLjx49ni5qIiDphoCRyo5KS/0FFRR7svdFdWwv4+XX8O70e+OEPAbkcePPNrkaXIjg4A+HhmR3+tq1FbWvrnatXr1qv8/Pzs7n1DlvURETkKG7YRuRGNTXH0NX2QPeGSQCQyYCwMEsLvGsmVFQcxqlT0zq1qA0GAwDA29sbCoUCKpUKzz33XIfwGBAQ0NPHIiIi6oAzlERuYjLdxunTI9D+BJzuaGgAnn3W0u7+9a+7vtZsBp58Ehg9OtTm6TAhISFsURMRkdtxhpLITfT6UjgaJgFgxw6gudnS9r4fiQS4evVfCAiY7XiBRERELiIRuwCi/koQWhz+mnfeAT78EFi37n5ved81ZAjfrCYiInExUBK5iZeXt0PX790L7N8PrFoFJCa67z5ERESuxkBJ5CYymQJA92YP9+4F9uwBVqwAli1z5C5ed+5DREQkHgZKIjeRSofBx2fCfa/bt88SJp9/Hli+3LF7+PhMhFQ6rGcFEhERuQhfyiFyI3//J7rch/LgQeDdd4FZs4DZs4HLlzt+fvLkrkaXwt9/katKJSIi6jFuG0TkRvc7Kefll4EvvrD/9SdOdD2+oyflEBERuQMDJZGbdXWWd8+59ixvIiIiZ3ANJZGbKZU7IZG4dnWJRCKFUrnTpWMSERH1FAMlkZvJZHIoFFkuHTM8PBsymdylYxIREfUUAyWRBwQFpUIuf90lY8nlWxEYuMolYxEREbkC11ASeVBl5S5otT+G2WyCY2sqpZBIpAgPz2aYJCKiXoeBksjD9PpyaDTpqK09DsvOXV0FS8vn/fzioFTuZJubiIh6JQZKIpE0Nl5GZeXbqKl5H83NpQDafyt6wcdnIvz9FyEoKINbAxERUa/GQEnUC5hMDdDrtRCEFnh5eUMmU/AEHCIi6jMYKImIiIjIKXzLm4iIiIicwkBJRERERE5hoCQiIiIipzBQEhEREZFTGCiJiIiIyCkMlERERETkFAZKIiIiInIKAyUREREROYWBkoiIiIicwkBJRERERE5hoCQiIiIipzBQEhEREZFTGCiJiIiIyCkMlERERETkFAZKIiIiInIKAyUREREROYWBkoiIiIicwkBJRERERE5hoCQiIiIipzBQEhEREZFTGCiJiIiIyCkMlERERETkFAZKIiIiInIKAyUREREROYWBkoiIiIicwkBJRERERE5hoCQiIiIipzBQEhEREZFTGCiJiIiIyCkMlERERETkFAZKIiIiInIKAyUREREROYWBkoiIiIicwkBJRERERE5hoCQiIiIipzBQEhEREZFTGCiJiIiIyCn/D7r6PdkH2U0gAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(complete_graph(range(5)), **opts)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(complete_graph(range(6)), **opts)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(complete_graph(\"ABCD\"), **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"In fact, `networkx` has its own implementation of complete graphs."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(nx.complete_graph(\"NETWORKS\"), **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Petersen Graph\n",
"\n",
"The [Petersen Graph](https://en.wikipedia.org/wiki/Petersen_graph)\n",
"is a graph on $10$ vertices with $15$ edges.\n",
"\n",
"It can be constructed \n",
"as the complement of the line graph of the complete graph $K_5$,\n",
"i.e.,\n",
"as the graph with vertex set\n",
"$$X = \\binom{\\{0,1,2,3,4\\}}{2}$$ (the edge set of $K_5$) and\n",
"with an edge between $x, y \\in X$ whenever $x \\cap y = \\emptyset$."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(K5, **opts)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)]\n"
]
}
],
"source": [
"lines = K5.edges\n",
"print(list(lines))"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[((0, 1), (0, 2)), ((0, 1), (0, 3)), ((0, 1), (0, 4)), ((0, 1), (1, 2)), ((0, 1), (1, 3)), ((0, 1), (1, 4)), ((0, 1), (2, 3)), ((0, 1), (2, 4)), ((0, 1), (3, 4)), ((0, 2), (0, 3)), ((0, 2), (0, 4)), ((0, 2), (1, 2)), ((0, 2), (1, 3)), ((0, 2), (1, 4)), ((0, 2), (2, 3)), ((0, 2), (2, 4)), ((0, 2), (3, 4)), ((0, 3), (0, 4)), ((0, 3), (1, 2)), ((0, 3), (1, 3)), ((0, 3), (1, 4)), ((0, 3), (2, 3)), ((0, 3), (2, 4)), ((0, 3), (3, 4)), ((0, 4), (1, 2)), ((0, 4), (1, 3)), ((0, 4), (1, 4)), ((0, 4), (2, 3)), ((0, 4), (2, 4)), ((0, 4), (3, 4)), ((1, 2), (1, 3)), ((1, 2), (1, 4)), ((1, 2), (2, 3)), ((1, 2), (2, 4)), ((1, 2), (3, 4)), ((1, 3), (1, 4)), ((1, 3), (2, 3)), ((1, 3), (2, 4)), ((1, 3), (3, 4)), ((1, 4), (2, 3)), ((1, 4), (2, 4)), ((1, 4), (3, 4)), ((2, 3), (2, 4)), ((2, 3), (3, 4)), ((2, 4), (3, 4))]\n"
]
}
],
"source": [
"print(list(combinations(lines, 2)))"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"15"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"edges = [e for e in combinations(lines, 2) \n",
" if not set(e[0]) & set(e[1])]\n",
"len(edges)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"P = nx.Graph(edges)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(P, **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Even though there is no parameter involved in this example,\n",
"it might be worth wrapping the construction up into a `python`\n",
"function."
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"def petersen_graph():\n",
" nodes = combinations(range(5), 2)\n",
" G = nx.Graph()\n",
" for e in combinations(nodes, 2):\n",
" if not set(e[0]) & set(e[1]):\n",
" G.add_edge(*e)\n",
" return G"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx.draw(petersen_graph(), **opts)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Code Corner"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### `python`"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* **list unpacking** operator `*e`: if `e` is a list, an\n",
"argument `*e` passes the elements of `e` as individual arguments\n",
"to a function call."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* **dictionary unpacking** operator `**opts`: `python` function calls take **positional** arguments and **keyword** arguments. The keyword arguments can be collected in a dictionary `opts` (with the keywords as keys). This dictionary can then be passed into the function call in its \"unwrapped\" form `**opts`."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* **set intersection**: if `a` and `b` are sets then `a & b` represents the intersection of `a` and `b`. In a boolean context, an empty set counts as `False`, and a non-empty set as `True`."
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"{3}"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = set([1,2,3])\n",
"b = set([3,4,5])\n",
"a & b"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"(False, True)"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bool({}), bool({3})"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* `list` [[doc]](https://docs.python.org/3/library/stdtypes.html#list) turns its argument into a `python` list (if possible)."
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"['n', 'e', 't', 'w', 'o', 'r', 'k', 's']"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(\"networks\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"* **list comprehension** [[doc]](https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions) allows the construction of new list from old ones\n",
"without explicit `for` loops (or `if` statements)."
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"[(x, y) for x in range(4) for y in range(4) if x < y]"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"### `networkx`"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* the `read_adjlist` command [[doc]](https://networkx.org/documentation/stable/reference/readwrite/generated/networkx.readwrite.adjlist.read_adjlist.html#networkx.readwrite.adjlist.read_adjlist) constructs a graph from a text file in `adj` format."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"* `Graph` constructor and applicable methods [[doc]](https://networkx.org/documentation/stable/reference/classes/graph.html): if `G` is `Graph` object then\n",
" * `G.nodes` returns the nodes of a graph `G` (as an iterator),\n",
" * `G.edges` returns the edges of a graph `G` (as an iterator),\n",
" * ..."
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false,
"slideshow": {
"slide_type": "subslide"
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"* `complete_graph` [[doc]](https://networkx.org/documentation/stable//reference/generated/networkx.generators.classic.complete_graph.html)"
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"### `itertools`"
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"* `combinations` [[doc]](https://docs.python.org/3/library/itertools.html#itertools.combinations) returns the $k$-element combinations of a given list (as an iterator)."
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"text": [
"['ne', 'nt', 'nw', 'no', 'nr', 'nk', 'ns', 'et', 'ew', 'eo', 'er', 'ek', 'es', 'tw', 'to', 'tr', 'tk', 'ts', 'wo', 'wr', 'wk', 'ws', 'or', 'ok', 'os', 'rk', 'rs', 'ks']\n"
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"source": [
"print([\"\".join(c) for c in combinations(\"networks\", 2)])"
]
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