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DDD Systems a third rough simulation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DDD Systems: a third rough simulation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![img](http://www.cybertelecom.org/images/baran.gif)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A first simulation of how DDD systems could be generated as graphs with a simple network science approach. It extends the above graph (Baran, Paul. 1964. ‘On Distributed Communications’. Santa Monica, CA.: RAND Corporation. http://www.rand.org/pubs/research_memoranda/RM3420.html.)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Set up and functions"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Import libraries\n",
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"from random import choice\n",
"from math import hypot\n",
"import pandas as pd\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Set up colors and charts\n",
"node_color = '#ff6600'\n",
"edge_color = '#ffb583'\n",
"edge_width = 2.5\n",
"bins_number = 50\n",
"sns.set()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Set up number of nodes\n",
"nodes_number = 100"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# We use the same random graph for all the systems\n",
"G=nx.random_geometric_graph(nodes_number,0.125)\n",
"\n",
"# random_geometric_graph is already distributed: https://networkx.github.io/documentation/latest/reference/generated/networkx.generators.geometric.random_geometric_graph.html\n",
"# See all the generators here: http://networkx.github.io/documentation/networkx-1.10/reference/generators.html#module-networkx.generators.random_graphs\n",
"\n",
"# position is stored as node attribute data for random_geometric_graph\n",
"pos=nx.get_node_attributes(G,'pos')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Find the center\n",
"def find_node_near_center(near_x,near_y):\n",
" # find node near center (near_x,near_y)\n",
" dmin=1\n",
" ncenter=0\n",
" for n in pos:\n",
" x,y=pos[n]\n",
" d=(x-near_x)**2+(y-near_y)**2\n",
" if d<dmin:\n",
" ncenter=n\n",
" dmin=d\n",
" return ncenter"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Find if point inside a circle\n",
"# From http://stackoverflow.com/a/487872/2237113\n",
"\n",
"def in_radius(c_x, c_y, r, x, y):\n",
" return hypot(c_x-x, c_y-y) <= r"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Find nodes around a node, with radius \n",
"def find_nodes_near_center(local_hub,local_radius):\n",
" # find node nodes around a node local_hub, with radius local_radius\n",
" local_nodes = []\n",
" for k in pos:\n",
" if in_radius(pos[local_hub][0], pos[local_hub][1], local_radius, pos[k][0], pos[k][1]):\n",
" local_nodes.append(k)\n",
" return local_nodes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Remove all edges\n",
"def remove_all_edges():\n",
" edges = []\n",
" for i in G.edges():\n",
" edges.append(i)\n",
" G.remove_edges_from(edges)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# Get the central node\n",
"ncenter = find_node_near_center(0.5,0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DDD Systems"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random graph"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random system\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"G=nx.gnp_random_graph(nodes_number,0.125)\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"plt.xlim(-0.05,1.05)\n",
"plt.ylim(-0.05,1.05)\n",
"plt.axis('off')\n",
"plt.savefig('00_random.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees0 = pd.Series([G.degree(n) for n in G.nodes()])\n",
"degrees0.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"00_random_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees0, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"00_random_dist_sns.pdf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Diffuse systems"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Diffuse system\n",
"# Inspiration from http://stackoverflow.com/questions/17301887/how-to-compute-nearby-nodes-with-networkx\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"# Find closest nodes\n",
"distribution_radius = 0.05\n",
"all_distributed = {}\n",
"for i in G.nodes():\n",
" local_distributed = find_nodes_near_center(i, distribution_radius)\n",
" all_distributed[i] = local_distributed\n",
"\n",
"# Add edges\n",
"for d in all_distributed:\n",
" for h in all_distributed[d]:\n",
" G.add_edge(d,h)\n",
"# Remove self-loops\n",
"G.remove_edges_from(nx.selfloop_edges(G))\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"plt.xlim(-0.05,1.05)\n",
"plt.ylim(-0.05,1.05)\n",
"plt.axis('off')\n",
"plt.savefig('01_diffuse.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees1 = pd.Series([G.degree(n) for n in G.nodes()])\n",
"degrees1.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"01_diffuse_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees1, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"01_diffuse_dist_sns.pdf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Decentralized systems"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Decentralized system\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"# pick n random hub nodes\n",
"number_of_hubs = 3\n",
"hubs = []\n",
"for j in range(number_of_hubs):\n",
" hubs.append(choice(range((len(G.nodes())))))\n",
"\n",
"for lb in hubs:\n",
" # Find closest nodes\n",
" distribution_radius = 0.4\n",
" local_distributed = find_nodes_near_center(lb, distribution_radius)\n",
" \n",
" # Add edges around the local center\n",
" for d in local_distributed:\n",
" G.add_edge(lb,d)\n",
"\n",
"# Remove self-loops\n",
"G.remove_edges_from(nx.selfloop_edges(G))\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"plt.xlim(-0.05,1.05)\n",
"plt.ylim(-0.05,1.05)\n",
"plt.axis('off')\n",
"plt.savefig('02_decentralized.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees2 = pd.Series([G.degree(n) for n in G.nodes()])\n",
"degrees2.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"02_decentralized_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees2, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"02_decentralized_dist_sns.pdf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Centralized systems"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Centralized\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"# Add edges around the center\n",
"for i in G.nodes():\n",
" G.add_edge(ncenter,i)\n",
"\n",
"# Remove self-loops\n",
"G.remove_edges_from(nx.selfloop_edges(G))\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"plt.xlim(-0.05,1.05)\n",
"plt.ylim(-0.05,1.05)\n",
"plt.axis('off')\n",
"plt.savefig('03_centralized.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees3 = pd.Series([G.degree(n) for n in G.nodes()])\n",
"degrees3.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"03_centralized_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees3, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"03_centralized_dist_sns.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Distributed\n",
"# All nodes are (potentially) connected to each other\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"# Circular layout, to show they are all equivalent\n",
"#pos=nx.circular_layout(G)\n",
"\n",
"# Add edges around the center\n",
"for i in G.nodes():\n",
" for j in G.nodes():\n",
" G.add_edge(i, j)\n",
"\n",
"# Remove self-loops\n",
"G.remove_edges_from(nx.selfloop_edges(G))\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"\n",
"\n",
"plt.axis('off')\n",
"plt.savefig('04_distributed.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees4 = pd.Series([G.degree(n) for n in G.nodes()])\n",
"degrees4.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"04_distributed_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAFqCAYAAAAdq0yAAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAf8ElEQVR4nO3de5CW9X3//9fK4qKAUXEXCTXWegiiCXY6UUgR4rQcIiARUqJOZUg0tZNETTwgFYith1EzRJqp4gzGqvE0ohKJBNGqkRbxEElHxUNwVDSeWNBoBDnu3t8/8sv+YkGyiHvfZD+Px0xm9t697/t6X76N89zda++7rlKpVAIAAIXapdYDAABALQliAACKJogBACiaIAYAoGiCGACAogliAACKVl/rAT4pb7+9Jq2tXkGuo+y11+757W8/qPUYdAC77ZzstfOy287JXjteY2PPj/yanxDTLvX1XWo9Ah3Ebjsne+287LZzstfaEsQAABRNEAMAUDRBDABA0QQxAABFE8QAABRNEAMAUDRBDABA0QQxAABFE8QAABStQ4N4zZo1GT16dF577bUkyZIlSzJmzJgMHz48M2fObLvfc889l/Hjx2fEiBGZOnVqNm/e3JFjAQBAmw4L4ieffDInnnhiVqxYkSRZv359zj///MyaNSsLFizIsmXLsmjRoiTJueeem+nTp+fee+9NpVLJnDlzOmosAAD4kA4L4jlz5uSCCy5IU1NTkuSpp57K/vvvn/322y/19fUZM2ZMFi5cmNdffz3r16/PEUcckSQZN25cFi5c2FFjAQDAh9R31BNfcsklH7rd3NycxsbGtttNTU1ZuXLlFp9vbGzMypUrO2osAAD4kA4L4v+rUqls8bm6urqP/Pz26tWrx8eaa0e0tLSmS5dy/i6xsbFnrUegg9ht52SvnZfddk4l7XVna6iqBXHv3r2zevXqttvNzc1pamra4vOrVq1qu8xie7z99pq0tm4Z1x2psbFnrpn7ZFWPWSvduzdk7doNtR6DDmC3nZO9dl522zmVttdvjhuQVaver+oxt/UNR9XSfMCAAXn55ZfzyiuvpKWlJfPnz8+QIUPSt2/fNDQ0ZOnSpUmSu+66K0OGDKnWWAAAFK5qPyFuaGjIZZddltNPPz0bNmzI0KFDM3LkyCTJjBkzMm3atKxduzb9+/fPxIkTqzUWAACFq6ts7SLeP0MumehYpf0qpyR22znZa+dlt51TaXst9pIJAADYGQliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBAChaTYJ43rx5GTVqVEaNGpXLL788SfLcc89l/PjxGTFiRKZOnZrNmzfXYjQAAApT9SBet25dLrnkktx4442ZN29ennjiiSxZsiTnnntupk+fnnvvvTeVSiVz5syp9mgAABSo6kHc0tKS1tbWrFu3Lps3b87mzZtTX1+f9evX54gjjkiSjBs3LgsXLqz2aAAAFKi+2gfs0aNHzjzzzHz5y19Ot27dcuSRR6Zr165pbGxsu09jY2NWrlxZ7dEAAChQ1YP4+eefz5133plf/OIX6dmzZ84555w8/PDDW9yvrq5uu563V68en9SI26V794aaHLcWSjrX0tht52SvnZfddk6l7bWxsWetR2hT9SBevHhxBg0alF69eiX5/eUR1157bVavXt12n1WrVqWpqWm7nvftt9ektbXyic76pzQ29szatRuqesxa6d69oZhzLY3ddk722nnZbedU4l5XrXq/qsfbVoBX/Rrifv36ZcmSJfnggw9SqVTy4IMP5sgjj0xDQ0OWLl2aJLnrrrsyZMiQao8GAECBqv4T4sGDB+fZZ5/NuHHj0rVr13zuc5/LP/3TP2XYsGGZNm1a1q5dm/79+2fixInVHg0AgALVVSqV6l5n0EFqdcnENXOfrOoxa6XEX+WUwm47J3vtvOy2cyptr98cN6DsSyYAAGBnIogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGiCGACAogliAACKJogBACiaIAYAoGjtCuIbb7wxa9as+cQO+uCDD2bcuHEZOXJkLr744iTJkiVLMmbMmAwfPjwzZ878xI4FAADb0q4gXr58eUaMGJGpU6fm6aef3qED/uY3v8kFF1yQWbNm5e67786zzz6bRYsW5fzzz8+sWbOyYMGCLFu2LIsWLdqh4wAAQHu0K4gvuuii3HvvvTn88MPzb//2bxk/fnzuuOOObNiwYbsP+F//9V859thjs++++6Zr166ZOXNmdtttt+y///7Zb7/9Ul9fnzFjxmThwoXb/dwAALC92n0NcY8ePTJy5MiMHj067777bm655ZaMHDlyu8P1lVdeSUtLS0455ZQcd9xxueWWW9Lc3JzGxsa2+zQ1NWXlypXb9bwAAPBx1LfnTkuWLMmcOXPyyCOPZMSIEbnqqqvSr1+/vPrqqznppJMycuTIdh+wpaUlTzzxRG688cbsvvvu+da3vpXddttti/vV1dW1/yyS9OrVY7vu/0np3r2hJsethZLOtTR22znZa+dlt51TaXttbOxZ6xHatCuIL7zwwpx00km56KKL0rPn/z/8Zz7zmUyYMGG7DrjPPvtk0KBB2XvvvZMkf/d3f5eFCxemS5cubfdpbm5OU1PTdj3v22+vSWtrZbses6MaG3tm7drtv2zkz1H37g3FnGtp7LZzstfOy247pxL3umrV+1U93rYCvF2XTPzsZz/LnnvumZ49e2bVqlW5/vrr09ramiQ544wztmuYY445JosXL87vfve7tLS05H/+538ycuTIvPzyy22XU8yfPz9DhgzZrucFAICPo10/Ib7ooouydu3aHHfccdlll12ydOnSvPbaa5k2bdp2H3DAgAE59dRTc9JJJ2XTpk3527/925x44on5q7/6q5x++unZsGFDhg4dul2XYQAAwMdVV6lU/uR1BqNHj878+fPbbre2tmbs2LG5++67O3S47VGrSyaumftkVY9ZKyX+KqcUdts52WvnZbedU2l7/ea4AX9+l0xs2rQpGzdubLu9efPmHZ8KAAB2Au26ZOJLX/pSTjnllIwdOzZ1dXWZP39+hg4d2tGzAQBAh2tXEE+ePDk333xzHnjggdTX12fYsGE54YQTOno2AADocO0K4i5dumTixImZOHFiR88DAABV1a4gXrBgQWbMmJH33nsvf/w3eL/61a86bDAAAKiGdgXxj370o0yZMiX9+/ff7neQAwCAnVm7gniPPfbI8OHDO3oWAACouna97NqAAQOyaNGijp4FAACqrl0/IV60aFFuuummdO3aNV27dk2lUkldXZ1riAEA+LPXriC+/vrrO3gMAACojXZdMtG3b988/fTTmTNnTvbee+/87//+b/r27dvRswEAQIdrVxDPnj07t956axYuXJj169fnyiuvzFVXXdXRswEAQIdrVxD//Oc/zzXXXJPddtste+21V+bMmZP58+d39GwAANDh2hXE9fX12XXXXdtu77HHHqmvb9flxwAAsFNrV9X26dMnDz30UOrq6rJx48Zce+21riEGAKBTaFcQT58+PZMnT86vf/3rHHHEERkwYEBmzJjR0bMBAECHa1cQ9+7dOzfccEPWrVuXlpaW9OjRo6PnAgCAqmhXEF933XVb/fzXv/71T3QYAACotnYF8fLly9s+3rhxY5YuXZqjjjqqw4YCAIBqaVcQX3rppR+6/c4772Ty5MkdMhAAAFRTu1527f/ae++98/rrr3/SswAAQNVt9zXElUoly5YtS69evTpsKAAAqJbtvoY4+f3rErtkAgCAzuBjXUMMAACdRbuC+OSTT05dXd1Hfv0nP/nJJzYQAABUU7uC+PDDD8+LL76YCRMmpGvXrpk3b142b96cUaNGdfR8AADQodoVxL/61a9yyy23pEuXLkmSo48+OhMmTMiIESM6dDgAAOho7XrZtXfeeScbN25su7127dqsX7++w4YCAIBqaddPiEePHp0JEyZk2LBhqVQqueeeezJx4sSOng0AADpcu4L4zDPPTP/+/fPoo4+moaEhF154YY488siOng0AADpcu9+prnfv3jn44IPz3e9+N127du3ImQAAoGraFcR33nln/uVf/iU//vGP8/777+db3/pW5syZ09GzAQBAh2tXEN9000257bbb0qNHj/Tq1Stz587NDTfc0NGzAQBAh2tXEO+yyy7p0aNH2+0+ffq0vQQbAAD8OWtXEO+555557rnn2t6t7mc/+1k+9alPdehgAABQDe16lYnzzz8/Z555Zl599dUMHjw4DQ0NmTVrVkfPBgAAHa5dQbx+/frMmzcvK1asSEtLSw444ACvNAEAQKfQrksmzjnnnHTp0iUHHnhgDjnkEDEMAECn0a4g/uxnP5u77747b7zxRt599922/wEAwJ+7dl0y8cADD2ThwoUf+lxdXV2ee+65DhkKAACqpV1B/PTTT3f0HAAAUBPbvGRi+vTpbR+/8847HT4MAABU2zaDeNmyZW0fn3LKKR0+DAAAVNs2g7hSqWz1YwAA6Cza9SoTSdrepQ4AADqTbf5RXWtra957771UKpW0tLS0ffwHe+65Z0fPBwAAHWqbQbx8+fIMHDiwLYKPOuqotq952TUAADqDbQbx888/X605AACgJtp9DTEAAHRGghgAgKIJYgAAilazIL788sszZcqUJMlzzz2X8ePHZ8SIEZk6dWo2b95cq7EAAChMTYL4kUceyU9/+tO22+eee26mT5+ee++9N5VKJXPmzKnFWAAAFKjqQfzuu+9m5syZ+ed//uckyeuvv57169fniCOOSJKMGzcuCxcurPZYAAAUapsvu9YRvv/97+d73/te3nzzzSRJc3NzGhsb277e2NiYlStXbvfz9urV4xObcXt0795Qk+PWQknnWhq77ZzstfOy286ptL02Nvas9QhtqhrEt99+e/r06ZNBgwZl7ty5SfKhd777g4/zNtFvv70mra1bPldHamzsmbVrN1T1mLXSvXtDMedaGrvtnOy187LbzqnEva5a9X5Vj7etAK9qEC9YsCCrVq3K2LFj89577+WDDz5IXV1dVq9e3XafVatWpampqZpjAQBQsKoG8XXXXdf28dy5c/P444/n0ksvzejRo7N06dL8zd/8Te66664MGTKkmmMBAFCwql9DvDUzZszItGnTsnbt2vTv3z8TJ06s9UgAABSiZkE8bty4jBs3LknSr1+/3HHHHbUaBQCAgnmnOgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoNQniK6+8MqNGjcqoUaPygx/8IEmyZMmSjBkzJsOHD8/MmTNrMRYAAAWqehAvWbIkixcvzk9/+tPcddddeeaZZzJ//vycf/75mTVrVhYsWJBly5Zl0aJF1R4NAIACVT2IGxsbM2XKlOy6667p2rVrDjzwwKxYsSL7779/9ttvv9TX12fMmDFZuHBhtUcDAKBA9dU+4MEHH9z28YoVK7JgwYKcfPLJaWxsbPt8U1NTVq5cuV3P26tXj09sxu3RvXtDTY5bCyWda2nstnOy187Lbjun0vba2Niz1iO0qXoQ/8ELL7yQ0047Leedd17q6+vz8ssvf+jrdXV12/V8b7+9Jq2tlU9yxD+psbFn1q7dUNVj1kr37g3FnGtp7LZzstfOy247pxL3umrV+1U93rYCvCZ/VLd06dJMmjQpZ599do4//vj07t07q1evbvt6c3NzmpqaajEaAACFqXoQv/nmm/n2t7+dGTNmZNSoUUmSAQMG5OWXX84rr7ySlpaWzJ8/P0OGDKn2aAAAFKjql0xce+212bBhQy677LK2z51wwgm57LLLcvrpp2fDhg0ZOnRoRo4cWe3RAAAoUF2lUqnuhbcdpFbXEF8z98mqHrNWSry2qRR22znZa+dlt51TaXv95rgBriEGAICdhSAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKIJYgAAiiaIAQAomiAGAKBoghgAgKLtVEF8991359hjj82wYcNy880313ocAAAKUF/rAf5g5cqVmTlzZubOnZtdd901J5xwQo466qgcdNBBtR4NAIBObKcJ4iVLlmTgwIHZc889kyQjRozIwoUL853vfKddj99ll7oOnO6j9di9a02OW227d+uaukprrcegA9ht52SvnZfddk4l7rVW7bY1O00QNzc3p7Gxse12U1NTnnrqqXY/fq+9unfEWH/SiSP71+S4AAB/znr16lHrEdrsNNcQVyqVLT5XV7fzfOcAAEDntNMEce/evbN69eq2283NzWlqaqrhRAAAlGCnCeIvfvGLeeSRR/LOO+9k3bp1ue+++zJkyJBajwUAQCe301xD3Lt373zve9/LxIkTs2nTpnz1q1/N5z//+VqPBQBAJ1dX2drFuwAAUIid5pIJAACoBUEMAEDRBDEAAEUTxAAAFE0Qk9mzZ2fEiBEZM2ZMrr766iTJM888k/Hjx+e4447Laaedlt/97ndbPG7jxo25+OKL85WvfCWjRo3K4sWLqz0627Ajez377LMzZsyYjB07NkuWLKn26PwJW9vtokWLMmbMmIwZMyZnn3121q5du8XjNm7cmHPPPTdf/vKXc/zxx+fFF1+s9uhsw8fda3Nzc0455ZSMHTs2xx9/fB555JFqj86f8HF3+wdr1qzJ3//93+exxx6r1sjlqVC0hx9+uDJ69OjK+++/X9m8eXPltNNOq9x7772VE088sfLQQw9VKpVK5dJLL61cccUVWzz2qquuqpx11lmV1tbWyvLlyyuDBw+utLa2VvsU2Iod2eucOXMq3/3udyuVSqXy/PPPV44++uiqzs62fdRuBw4cWHnhhRcqlUqlMnv27MpFF120xWN//OMfV6ZPn16pVCqVxx9/vPLVr361qrPz0XZkr2effXblxhtvrFQqlcqLL75Y+eIXv1jZvHlzVefno+3Ibv9g8uTJlS984QuVRx99tFpjF8dPiAv37LPPZvDgwenRo0e6dOmSo48+Ovfff39aW1vbvltdt25dunXrtsVj77nnnnzzm99MXV1dDj744Fx33XVbfQtuqm9H9tra2pp169alpaXlI+9D7Wxtt3PmzMmnP/3pHHTQQUmSY445Jvfff/8Wj33ooYdy3HHHJUm+8IUv5Le//W3eeOONqs7P1u3IXocPH54xY8YkSfbff/9s2LAhH3zwQVXn56PtyG6TZMGCBenevXs++9nPVnPs4gjiwh122GFZvHhx3n333WzYsCEPPvhgVq9enSlTpmTq1KkZPHhwlixZkhNOOGGLx77yyiv55S9/mXHjxuVrX/taVq9enV128a/UzmBH9nr88cfn3XffzdFHH51//Md/zDnnnFODM+CjbG23ra2teeutt/L8888n+f03q6tXr97isc3NzWlsbGy73djYmLfeeqtqs/PRdmSvw4cPz6c+9akkybXXXptDDz00PXv2rOr8fLQd2e0bb7yRG264IZMnT6722MXZad6pjtoYNGhQxo0bl5NPPjl77rlnBg0alMceeyxTp07NDTfckM9//vO57rrrct5552X27NkfemxLS0veeuut3Hnnnfn1r3+dU089Nffcc4//EO8EdmSvV155ZY444ojceuutWbFiRSZNmpTDDjssffv2rdHZ8Me2ttsnn3wyl19+eaZPn57W1tZMmDAhXbt2bdfz+SZ25/BJ7PX666/PbbfdlptuuqmKk/OnfNzdtra2ZurUqZk+fbrf1FWB/xIWbs2aNRk2bFjuvvvu3Hjjjdltt93S0NCQhoaGtrfO/trXvpbHH398i8fus88+GTVqVOrq6tKvX7/su+++efnll6t9CmzFjuz1gQceyLhx41JXV5cDDjggAwYMyFNPPVXtU+AjbG23f/EXf5F99903t99+e+68884cfvjh2W+//bZ4bFNTU1atWtV2e9WqVWlqaqrm+HyEHdlrkvzgBz/I7bffnptvvjl9+vSp8vRsy8fd7UsvvZSXXnopU6dOzdixY7Ns2bJMmzYtjz76aI3OpHMTxIV77bXX8u1vfzubN2/O+++/n9tvvz2nnXZa3nrrrbz00ktJfh9In/vc57Z47DHHHJMFCxYkSX7zm9/kzTffzAEHHFDV+dm6Hdlrv3792q5le+edd7Js2bIceuihVZ2fj7a13R577LH5xje+kZUrV6ZSqeQ///M/c+yxx27x2KFDh2bevHlJkieeeCINDQ359Kc/Xe1TYCt2ZK/XX399Hnvssdx6663Zd999azA92/Jxd3vQQQdl0aJFmTdvXubNm5fDDz88F198cQYOHFijM+nc6ir+Cqp4V111VX7+85+npaUlkyZNyoknnphFixblhz/8YSqVSnr16pWLLroo++23X2699dY0NzfnzDPPzJo1a3LhhRfmmWeeSZKcc845OeaYY2p8NvzBx93r6tWrM3369Lz66qvZZZddctppp2X06NG1Ph3+yNZ2+9BDD+WHP/xhNm7cmEGDBmXq1Knp2rXrh3a7YcOGfP/738+yZcuy66675uKLL85hhx1W69Ph//Nx9nrGGWfkyCOPTI8ePbLHHnu0Pdfs2bPTu3fvGp4Nf+zj/n/2j5188sn5zne+k6OOOqpGZ9G5CWIAAIrmkgkAAIomiAEAKJogBgCgaIIYAICiCWIAAIrmneoAdhKvvfZahg0blkMOOSTJ79+pqmvXrpk4cWK+8pWv1HY4gE5MEAPsRLp169b25hlJ8vrrr2fSpEnZbbfdMmLEiBpOBtB5CWKAnVjfvn1zxhln5Nprr80xxxyTGTNm5Je//GVaWlrSv3//TJs2LT169MhTTz2Vf/3Xf82mTZvymc98Jm+88UamTJmSJLnkkkuy++6754MPPsgdd9yRxYsX5+qrr86mTZvSrVu3nHfeefnrv/7rJMnVV1+d++67L62trenbt28uuOACb/AAdHqCGGAn169fvyxfvjyzZ89Oly5dMnfu3NTV1eWKK67IjBkzMm3atJx++um58MILM3To0Dz66KOZNGlS2+NfeOGF3H///enbt29WrFiRmTNn5ic/+Un22muvvPDCC/n617+e++67L/fdd1+WL1+e22+/PfX19bntttsybdq0XHPNNbU7eYAqEMQAO7m6urp069YtDz30UN5///0sWbIkSbJp06b06tUry5cvT5IMHTo0STJw4MAcfPDBbY/v06dP+vbtmyR5+OGH09zc/KFgrqury6uvvppf/OIXefrppzN+/Pgkv7+Ged26ddU4RYCaEsQAO7mnn346hxxySNasWZPzzz+/LXzXrl2bDRs2ZNWqValUKh96TJcuXdo+3n333ds+bm1tzaBBg/Lv//7vbZ97880309TUlNbW1px66qk56aSTkiQbN27Me++914FnBrBz8LJrADuxl19+ObNmzco3vvGNDB48ODfffHM2btyY1tbWTJ8+PVdccUUOPPDA7Lrrrvnv//7vJMlTTz2V5cuXp66ubovnGzhwYB5++OG8+OKLSZJFixbluOOOy4YNGzJ48ODccccdWbNmTZLkRz/6USZPnly9kwWoET8hBtiJrF+/PmPHjk2S7LLLLmloaMhZZ52VL33pSxk4cGAuv/zyHH/88Wlpacmhhx6aKVOmpL6+Pv/xH/+RCy64IFdccUX+8i//Mvvss0+6deu2xSUPBx98cC688MKcddZZqVQqqa+vz9VXX53dd989//AP/5CVK1dmwoQJqaurS58+fXLZZZfV4h8DQFXVVf7v79kA+LNz+eWX55RTTsk+++yTN998M2PHjs3999+fPfbYo9ajAez0/IQYoBPo27dvJk2alPr6+lQqlVx88cViGKCd/IQYAICi+aM6AACKJogBACiaIAYAoGiCGACAogliAACKJogBACja/wOOP2wkybD2+QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees4, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"04_distributed_dist_sns.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Distributed as k-regular random graph\n",
"# All nodes are connected to each other with the same degree k\n",
"\n",
"# Clear the graph\n",
"remove_all_edges()\n",
"\n",
"k = 3\n",
"G1 = nx.random_regular_graph(k, nodes_number)\n",
"\n",
"# Remove self-loops\n",
"G1.remove_edges_from(nx.selfloop_edges(G1))\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"nx.draw_networkx_edges(G1,pos,alpha=0.4,edge_color=edge_color, width=edge_width)\n",
"nx.draw_networkx_nodes(G1,pos,\n",
" node_size=80,\n",
" node_color=node_color,\n",
" cmap=plt.cm.Reds_r)\n",
"\n",
"\n",
"\n",
"plt.axis('off')\n",
"plt.savefig('05_distributed_regular.pdf')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees5 = pd.Series([G1.degree(n) for n in G1.nodes()])\n",
"degrees5.plot(kind=\"hist\", bins=bins_number, figsize=(8,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"05_distributed_regular_dist.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.displot(degrees5, multiple=\"stack\", fill=True, discrete=True, height=5, aspect=2, kde=True)\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Frequency')\n",
"plt.savefig(\"05_distributed_regular_dist_sns.pdf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## All degree distributions together"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"degrees_all = pd.concat([degrees0,degrees1,degrees2,degrees3,degrees4,degrees5], axis=1)\n",
"degrees_all = degrees_all.rename(columns={0: 'Random (0.125 probability)', 1: 'Diffuse', 2:'Decentralized', 3:'Centralized', 4:'Distributed (all)', 5:'Distributed regular (k='+str(k)+')'})"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Random (0.125 probability)</th>\n",
" <th>Diffuse</th>\n",
" <th>Decentralized</th>\n",
" <th>Centralized</th>\n",
" <th>Distributed (all)</th>\n",
" <th>Distributed regular (k=3)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>15</td>\n",
" <td>1</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>11</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>8</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>11</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>15</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>11</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>11</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>9</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>18</td>\n",
" <td>1</td>\n",
" <td>3</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>99</th>\n",
" <td>18</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>99</td>\n",
" <td>3</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>100 rows × 6 columns</p>\n",
"</div>"
],
"text/plain": [
" Random (0.125 probability) Diffuse Decentralized Centralized \\\n",
"0 15 1 2 1 \n",
"1 11 1 1 1 \n",
"2 8 0 2 1 \n",
"3 11 1 1 1 \n",
"4 15 0 2 1 \n",
".. ... ... ... ... \n",
"95 11 0 2 1 \n",
"96 11 0 2 1 \n",
"97 9 0 1 1 \n",
"98 18 1 3 1 \n",
"99 18 0 1 1 \n",
"\n",
" Distributed (all) Distributed regular (k=3) \n",
"0 99 3 \n",
"1 99 3 \n",
"2 99 3 \n",
"3 99 3 \n",
"4 99 3 \n",
".. ... ... \n",
"95 99 3 \n",
"96 99 3 \n",
"97 99 3 \n",
"98 99 3 \n",
"99 99 3 \n",
"\n",
"[100 rows x 6 columns]"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"degrees_all"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees_all.plot(kind=\"hist\", bins=bins_number, stacked=False, alpha=0.7, figsize=(16,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"all_dist_alpha.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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DB2vhwoUqXry4c1uzZs1kt9v12WefKTMzU3Xr1lWPHj0kSZs2bdKwYcOUlpamiIgI9e7d+6aWIDNTC+QcMxHwJoxHeBPGI7wJM7XwFrc6U3srbmWm1m3X1Pbt21d9+/a96nstW7bMtq1atWpatmyZu8oBAAAAANyBcuc2aAAAAAAAuAGhFgAAAABgWIRaAAAAAIBhuf05tQAAAAC8R6ECfrL4+bu838z0NJ05l+7yfoEbIdQCAAAAdxGLn78ODLn1p3JcS3ifhZJuHGoTEuLVvHkjlSwZLklKS0tVqVKl9dZb7+rkyUQtWbJQvXr10549u9W377sKDg5Ry5YxGjVquMqVq6D+/Qe7vHYYG6EWAAAAQK4qWtSqWbPmSpIcDoemTJmovn17atKkj9WrV1lJUlzcD3rmmXrq2PENDR36vmJi2io6upEny4aXItQCAAAA8BiTyaR27ToqKqquvvzyC23Y8K1atozR4sULJEl+fn764YcN2rJls8xms9asWaW2bTuoUqXKSkiIV5cuHbVgwXKtXbtac+d+KrPZrHvvvVf9+g2Sv7+/Zs+epe++Wyebza4qVaqqU6euMplMHj5ruBKhFgAAAIBH+fr6KiwsTIULF5EkVatWwzkr+8orryo+/rgqVnxMzz4bpTVrVl21j2nTJmvq1JkqVKiwpk6dpCNHDunUqVPas2eXpk37VCaTSYMGvae1a79SvXrP5tq5wf0ItQAAAAC8gEn+/rd+A6vq1WuqU6d2qlnzKUVE/FulSz+kNWv+oz///F3t2rWSdOX63eDgEFcVDC9BqAUAAADgURkZGTp69LDOnj19w33/uXQ4MzPT+XO3bj20f3+0Nm3aqEGD+qlt2w6y221q2rS5mjV7WZJ04cIF+fj4uP4E4FE8pxYAAACAx9jtdk2fPkVlyz6qe++974b7FyhQUAcP/iVJ+uGH9ZKuhNtmzV5QwYIF1arVK6pfP1J79+5RpUqPa82aVbp06ZIyMzPVu/fbWr/+G/edDDyCmVoAAADgLpKZnvb/j99xfb85lZycpDZtWkiS7HabSpd+SAMGDNb+/ftu2LZlyxgNGTJAK1cuU82aT0mSLBaL2rXrqG7dXpe/fx4FBASqb98BslqDtH//XnXo0EZ2u01VqjypBg0a3tL5wXuZHA6Hw9NFuMKpUymy2733VKzWQP0YfevPA6u+dKGSki64sCLczazWQMYTvAbjEd6E8Qhv4qrxeOLEYYWElHBBRbhbWSxmZWbac+VYVxuvZrNJRYoEXLMNy48BAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBbPqQUAAADuIoEF/ZXH18/l/aZmpOvC2Rs/qzYhIV7NmzdSyZLhkqS0tFSVKlVab731rgoXLuLyuv4pPv64Pvlkunr3fi/HbVatWq7t27eqT58B6tGjq3r16qeiRa23XENCQry6dOmoBQuW33IfyIpQCwAAANxF8vj6qem8Ti7vd/5Lk3VBNw61klS0qFWzZs2VJDkcDk2ZMlF9+/bUpEkfu7yufzpxIkHHjx+75fajRo13YTVwFUItAAAAAI8xmUxq166joqLqav/+fdq06Ud999062Wx2ValSVZ06dZXJZNK8eZ9pyZKF8vHx0ZNP1tTrr3fV6dOnNHLkUCUmJspsNqtjxzf0+ONVNH36FCUnJ+no0SNKTDyhhg2j1bp1O40bN0rx8cc1evQI1a79tCZPHi+bza7w8FLq2PENDRs2SCkpF3TqVLKeeaaeOnXqkqXWJk2i9OGHU7RkyUL9/PMmSdLFiyk6e/aM1q37Qbt2/aHx48coLS1VBQoU1DvvxOree0O1d+9uDR8+SJL0wAMP5vpnfKcj1AIAAADwKF9fX4WFhWnfvj3as2eXpk37VCaTSYMGvae1a79SWFhxLV68QB9/PFt58uTR22931e7du/T5558qMvI51agRoeTkZL3+ejvnDPD+/fs0adLHSkm5oKZNn1ejRk315ps9NGPGVL39dk9t27ZFR48e0YIFKxQQEKC5c2erTp16atCgoVJSUtSoUaSaN2911Xo7deqiTp26KD09XZ07d9Brr3VRRkaGhg8frBEjxiokJEQ//7xJI0YM0bhxkzR4cH916fKWHn+8imbN+ljbtm3JzY/3jkeoBQAAAOAFTPryyy909uwZtWt3JUympaUqODhEp06dUvXqNRUQECBJGjdukiRpy5bNOnz4sD7+eIokKTMz07m8uFKlyvL19VWhQoWVP39+XbyYku2IYWElnH22aNFK27Zt0dy5s3Xw4F/KzMxQaurl61Y8YsRgVaz4mJ5+uo4OHNiv+Phj6tXrLef7Fy9e1NmzZ5WcnKzHH68iSWrQoKFWrFh6Ox8U/gehFgAAAIBHZWRk6OjRw6pYsbLq1q2vZs1eliRduHBBPj4+2UJgcnKS/P3zyGaza/z4ycqfv4Bze6FChfX99+vl5/ffm2GZTCY5HI5sx/X393f+/OGHYxUff1x16tRXrVpPacuWzVdt87e5c2frzJkz6tNngCTJZrPr3ntDnTPFNptNZ86clsmkLP34+BDBXI1H+gAAAADwGLvdrunTp6hs2UcVGfmc1qxZpUuXLikzM1O9e7+t9eu/UfnyFfXTT3HO7QMG9NHu3X/qsccqa9GiLyVJBw8eUOvWzZSWlnrNY/n4WGSz2a763pYtP6tFi1b697+f0cmTiUpKOim73X7VfX/6KU4rVizRgAFDZDZfiVQlSpTU+fPn9dtv2yVJK1cu04ABfVSgQEGFhIQoLm6jJGndutW3/Fnh6vhrAgAAAOAukpqRrvkvTXZLvzmVnJykNm1aSJLsdptKl35IAwYMVv78BbR//1516NBGdrtNVao8qQYNGspkMqlRo6Z67bVXZLc7FBFRW48/XkX33x+uDz4Yotatm8nhcKhv34HKmzffNY9bsmRJpaRc0KBB/RQZGZ3lvZdfbqNBg95TQECgChcurDJlyio+/vhV+/nPf0bJZrOpW7dOstuvzMIOGfKBBg0arnHjRik9PV158+ZT377vS5L69RukYcPe17Rpk/Svf5XL8eeEnDE5rjenbiCnTqU4B5Q3sloD9WN041tuX33pQiUlXXBhRbibWa2BjCd4DcYjvAnjEd7EVePxxInDCgkp4YKKcLeyWMzKzLz6rLWrXW28ms0mFSkScM02LD8GAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFg8pxYAAAC4ixQK9JMlj7/L+81MTdOZCzl/Vi3gKoRaAAAA4C5iyeOvH6Mbu7zf6ksXSjkItRcvpuijjybq11+3ysfHosDAQHXu3F0PPVTmpo85dOj7atu2g0JCiuW4TY0albVx4xYtWbJAkvT8801u+rj/1LlzB7Vt20GVKlW+rX5w61h+DAAAACBX2O129ejxpvLnz6+ZM+dq1qy5euWVV9WjR1edO3f2pvvbtm2LHA7HLdXy/PNNbjvQwjswUwsAAAAgV2zbtkXJyclq166jzOYr82uVKlVWbOx7stvtmj17lr77bp1sNruqVKmqTp266sSJBMXG9lB4eCnt3btHhQsX0aBBw7V06WIlJyfpnXfe1MSJ09SuXSuVLfuI9u3bo0mTPtb8+Z9r69ZfdP78eRUsWFBDhnygIkWKOmuZPn2KJOmJJ6pq9OgRzu0HDuzX++8PVZUqT2rMmBE6cOAv2e12tWwZozp16is9PV0jRgzS7t27FBJy7y2FcbgWM7UAAAAAcsXevXv08MNlnYH2b9Wq1dCePbu1Z88uTZv2qWbO/ExJSUlau/YrSdL+/fv00kstNXv2fAUEBGjt2q/UqlUbFS1q1ciR41SgQEFJUtWqT+rzzxfp4sWLOnLkkD76aIa++GKRQkPv09q1q69a06OPltesWVdmjRs0iFTVqtX11FNP65NPpuuhhx7WjBlzNHHiVH366QwdP35MCxbMkyR99tkCdevWQ8ePH3ffB4YcYaYWAAAAQK4wm03XXC68Zctm/fnn72rXrpUkKS0tVcHBISpXroIKFSqsBx+8cs1tePgDOn/+/FX7KFv2EUnSffeFqXPn7lq+fImOHDmsP/7YqdDQ+65b2+bNP2n58qX66KMZMplM2rJls9LSUrVy5TJJUmpqqg4ePKBff92q555rJEkKCyuuRx8td/MfBFyKUAsAAAAgV5QpU1aLFy+Qw+GQyWRybp8yZaK2bt2spk2bq1mzlyVJFy5ckI+Pj86dOys/P78s/VwrGPv7X7mr8+7duzRgQB81a9ZCtWs/LR8f83WvvT169IhGjBis0aM/VEBAgCTJbrepX79BzhtYnT59SvnzF9CyZYvlcNidbX18fG7hk4ArsfwYAAAAQK4oX76iChUqrBkzpspms0mSfv55k1atWqamTVtozZpVunTpkjIzM9W799tav/6b6/bn4+Pj7Oeffv11qypWfEzPP99EJUuGa/Pmn2W326/Sw5W7Mffu3UPduvVQyZL3O7dXqvS48w7JycnJat26uRITT6hy5Se0bt0a2e12nTiRoJ07d9zqxwEXYaYWAAAAuItkpqZdefyOG/q9EZPJpOHDx+jDD0crJuYlWSwWFShQUCNHjtODD5ZRYuIJdejQRna7TVWqPKkGDRrqxImEa/b35JM11aPHmxoz5sMs259+uq5iY99R69bN5ONjUalSDyghIf6qfSxcOF+JiSf0ySczNH36VElSgwaRatv2VY0ePUKtWjWV3W7X6693VWjofWrU6EUdPPiXWrZsopCQYgoPL3UTnxLcweS41Xtge5lTp1Jkt3vvqVitgbf1PLDqSxcqKemCCyvC3cxqDWQ8wWswHuFNGI/wJq4ajydOHFZISAkXVIS7lcViVmbm1We6Xe1q49VsNqlIkYBrtmH5MQAAAADAsAi1AAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADDItQCAAAAd5EC+e+R1Rro8n8K5L/nhsdOSIjXU09VVZs2LdSmTQs1b95Iffv21OnTpyRJu3f/qeHDB12zfXz8cQ0bNvCq7y1ZskBLliyQJNWoUfmmPpONG7/XF1/Muak2nTt30LZtW7Jtt9lsio19R6mpqddsO336FE2fPiVLrRs2fKeFC+fdVA24wuLpAgAAAADkHj9/iwa+vcLl/b43umGO9ita1KpZs+ZKkhwOh6ZMmai+fXtq0qSPVaZMWfXqVfaabU+cSNDx48eu+t7zzze5+aL/3549u2657f9asmSBnniiqvLkyXNT7SIiaqtr19f073/XUaFChV1Wz92AUAsAAADAI0wmk9q166ioqLrav3+fzp8/pxkzpmrChKn64os5+uqrlTKbTXr44X/p3Xf7aNy4UYqPP67Ro0eodu2nNXnyeNlsdoWHl1KxYvdKktq16yhJGjFiiHbt+kMFChRU797vKSQkRJ07d1Dbth1UqVJlJSTEq0uXjho5cpyWLl0kSQoJKabatZ/RmDEjdODAX7Lb7WrZMkZ16tRXenq6RowYpN27dykk5F6dO3c22/k4HA4tWDBP06Z9Kkk6cGC/xo4dqcuXL+vMmdNq1uxlvfhis2t+HhERtbVo0ZfOc0DOsPwYAAAAgMf4+voqLCxMhw8fcm7LzMzUnDmzNH36bE2fPkdms1lJSSf15ps99NBDD+vtt3tKko4ePaLx4z9S377vZ+u3YsVKmjVrriIiamvcuFHXPP7994crOrqRoqMbKTLyOX3yyXQ99NDDmjFjjiZOnKpPP52h48ePacGCK0uDP/tsgbp166Hjx49n62v//r0KCAhQQECAJGn58qVq3bqdPv74U40f/5GmTp103c+ifPlK2rhxww0/M2TFTC0AAAAADzPJ39/f+cpiseiRR8qpffsY1awZoUaNXpTVGqSjR49kaRUWVsIZIP/J399fdes2kCTVq9fghmHyn7Zs2ay0tFStXLlMkpSamqqDBw/o11+36rnnGv3/cYvr0UfLZWt79OhRWa3BztedO3fTzz9v0uzZM7V//z5dvnzpuscOCSmmY8eO5rhWXEGoBQAAAOAxGRkZOnr0sO6/P1yJiSec24cNG60//tipn36K09tvd9V772W/gdQ/g/A/mc0+zp8djishWbqy3PlvmZmZV21rt9vUr98gPfRQGUnS6dOnlD9/AS1btlgOh925n4+PT7a2ZrMpy/b33uulwMD8ql69pp5+uq6++WbtVY/5N4vFIpOJxbQ3i08MAAAAgEfY7XZNnz5FZcs+qtDQ+5zbz5w5o5Ytmyg8/AG1b/+aHn+8iv76a598fCyy2Ww37Pfy5UvOZbwrVy5V5cpPSJIKFCiogwf/kiT98MN65/4+Pj7OfitVetx5F+Xk5GS1bt1ciYknVLnyE1q3bo3sdrtOnEjQzp07sh03NPQ+nTiR4Hz9yy+b1b79a6pZ8yn9+us2Sbpu/fHxx3Xfffdd831cHTO1AAAAwF0kPS0zx3cqvtl+cyI5OUlt2rSQdGVWtHTphzRgwOAs+xQqVEjR0Y306qsx8vfPo+DgED37bJQyMjKUknJBgwb1U2Rk9DWPERAQqO+/X69p0z6S1WpVbGx/SVLLljEaMmSAVq5cppo1n3LuX6FCJQ0ZMkCFCxdW27avavToEWrVqqnsdrtef72rQkPvU6NGL+rgwb/UsmUThYQUU3h4qWzHfeCBB3Xu3FmlpKQoICBAbdu+qk6d2iswMEBhYSVUrNi9SkiIv2bd27dvUY0aETn6HPFfJofD4fB0Ea5w6lSK7HbvPRWrNVA/Rje+5fbVly5UUtIFF1aEu5nVGsh4gtdgPMKbMB7hTVw1Hk+cOKyQkBIuqAg58eWXX8hsNqlx45duum2nTu00dOhIr3ukj8ViVmam/cY7usDVxqvZbFKRItmvnXa+7+6iAAAAAOBu8cILTfTLLz8rNTX1ptp9993Xql37aa8LtEbA8mMAAAAAcBGLxaLhw8fcdLvatZ9xQzV3B2ZqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYXGjKAAAAOAuUiC/n/z8/V3eb3pams6dT3d5v8CNEGoBAACAu4ifv78m9H7F5f12HjZT0vVDbUJCvJo3b6SSJcMlSWlpqSpVqrTeeutdFS5cRLt3/6klSxaqV69+V20fH39cn3wyXb17v5ftvSVLFkiSnn++iWrUqKyNG7fkuPaNG7/XsWNH1KzZyzlu07lzB7Vt20GVKlXOcZtblZAQry5dOmrBguW33MfGjRuUkJCgGjVq3XRfU6dO1rfffi3JpIYNn1OzZi/r0qVLGjy4vwYNGi4fH59brssVCLUAAAAAck3RolbNmjVXkuRwODRlykT17dtTkyZ9rDJlyqpXr7LXbHviRIKOHz921feef77JLde0Z8+uW25rBOnp6Zoz5xNNmDBVSUknb6rt9u1btWXLL5o163PZbJl6+eWmevLJGipevKQqV35CS5cuUqNGL7qp8pwh1AIAAADwCJPJpHbtOioqqq7279+n8+fPacaMqZowYaq++GKOvvpqpcxmkx5++F96990+GjdulOLjj2v06BGqXftpTZ48XjabXeHhpVSs2L2SpHbtOkqSRowYol27/lCBAgXVu/d7CgkJyTK7+vfs58iR47R06SJJUkhIMdWu/YzGjBmhAwf+kt1uV8uWMapTp77S09M1YsQg7d69SyEh9+rcubPZzmfbti1ZanrrrZ5X7SszM1MjRw7Vjh2/ymoNkslkUuvW7STJef6SNGTIAFWs+JgqVnzMeYwDB/Zr7NiRunz5ss6cOa1mzV7Wiy820/TpU/THH7/r5MkTatSoaZaguXbtVypfvqIslqzxb/36bzRz5sf6z38mafLk8dq7d0+W91u0aKW6dRto0qQpknyUnJwkm82mPHnukSQ980xddejwil54oYlMJtNtjITbQ6gFAAAA4DG+vr4KCwvT4cOHVKhQIUlSZmam5syZpSVLVstsNmvMmBFKSjqpN9/soRkzpurtt3tq27YtOnr0iBYsWKGAgABNnz4lS78VK1ZSz559tGjRlxo3bpSGDRt11ePff3+4oqMbSZIiI5/T5Mkf6qGHHlbfvu/r4sUUvfZaW5Ut+4g2bPhOkvTZZwt09OgRtW7d/Kr9/bOma/W1adNGpaZe1ty5C5WYeEIxMc1y/HktX75UrVu3U+XKT+j48WNq06aFXnzxSvv09DTNmfNltjY//vi9nnvuhSzbNm/+STNnfqyxYyeoUKFCio3tf81jWiy+mjJlsj7/fLZq135GVmuQJCl//gLKm/ce7d+/T6VLP5jjc3A1Qi0AAAAADzPJ/x83r7JYLHrkkXJq3z5GNWtGqFGjF2W1Buno0SNZWoWFlVBAQEC23vz9/VW3bgNJUr16DTR16qQcV7Jly2alpaVq5cplkqTU1FQdPHhAv/66Vc891+j/j1tcjz5a7qrt/1nTtfr65ZefFRX1gkwmk0JCiumxxx7PcX2dO3fTzz9v0uzZM7V//z5dvnzJ+V7Zso9ctc3Ro0dltQY7X587d1Z9+ryjtm07qnDhIpKkoUPfv+ZMrXRlBrxly9bq2bO7li1b7PyLgODgYjp27AihFgAAAMDdKSMjQ0ePHtb994crMfGEc/uwYaP1xx879dNPcXr77a56771B2dr6X+Muzmbzf29c5HDIuez2n0tkMzMzr9rWbrepX79BeuihMpKk06dPKX/+Alq2bLEcDrtzv2vdHOmfNV2rr5Url2Xp62//u4T3ajW+914vBQbmV/XqNfX003X1zTdrr3rsfzKbTVnqNZnMGjp0pAYO7Kc6deqpaFHrNWdqDx8+JJstQ+HhpZUnTx7VqlVbf/21z/m+xWKR2ezZJ8XynFoAAAAAHmG32zV9+hSVLfuoQkPvc24/c+aMWrZsovDwB9S+/Wt6/PEq+uuvffLxschms92w38uXL2njxg2SpJUrl6py5SckSQUKFNTBg39Jkn74Yb1zfx8fH2e/lSo97ryTcnJyslq3bq7ExBOqXPkJrVu3Rna7XSdOJGjnzh03rONafT3+eBV9/fVaORwOJScnafv2rTKZTCpQoKDi448rLS1N58+f02+/bc/W5y+/bFb79q+pZs2n9Ouv2yTphp9JaOh9OnEiwfk6f/78qlz5Cb3wQhONHfvBddvGxx/TsGGDlJ6eroyMDG3cuEHlylVwvp+QEK/Q0LAbfhbuxEwtAAAAcBdJT0v7/8fvuL7fnEhOTlKbNi0kXZnJLF36IQ0YMDjLPoUKFVJ0dCO9+mqM/P3zKDg4RM8+G6WMjAylpFzQoEH9FBkZfc1jBAQE6vvv12vatI9ktf53FrJlyxgNGTJAK1cuU82aTzn3r1ChkoYMGaDChQurbdtXNXr0CLVq1VR2u12vv95VoaH3qVGjF3Xw4F9q2bKJQkKKKTy81A3P9Vp9PffcC9q3b69iYl5SkSJFFRJSTP7+/goPL6Vq1aqrVaumKlbsXpUvX/GqfXbq1F6BgQEKCyuhYsXuVUJC/HXrqF69prZv36Jq1apn2f7yy23UunUzbdy4QTVqRFy1bbVqNbR79x9q27alzGazIiL+rWeeqSdJunDhglJSUvTAA6Vv+Fm4k8nhcDg8WoGLnDqVIrvde0/Fag3Uj9GNb7l99aULlZR0wYUV4W5mtQYynuA1GI/wJoxHeBNXjccTJw4rJKSECyqCq8TFbZTD4VD16jWVkpKiV15pqenTP1X+/AXccry0tDS9/np7TZkyM9sdkHPCYjErMzP7cun58z+Xj4+PGjdu6ooyJV19vJrNJhUpkv3aaef7Ljv6VUyYMEGRkZGKjIzUBx9cmdaOi4tTVFSU6tatq7Fjxzr33bVrlxo3bqx69eqpT58+11zjDgAAAABGVrLk/ZozZ5batGmhzp07qH37jm4LtNKVa21jYtpq0aLsd0a+VZcuXdKWLZudN4zyJLctP46Li9PGjRu1ePFimUwmtW/fXitWrNCoUaM0e/ZsFStWTB07dtSGDRsUERGhd955R4MHD1aFChUUGxur+fPnq0WLFu4qDwAAAAA84t57QzV58vRcPWZERG2X9pc3b1598MHYG++YC9w2U2u1WtWrVy/5+fnJ19dXpUqV0qFDh1SiRAmFhYXJYrEoKipKq1ev1vHjx5WamqoKFSpIkho1aqTVq1e7qzQAAADgrnKHXHGIO9ytjlO3zdSWLv3fi4UPHTqkVatWqVWrVrJarc7tQUFBSkxM1MmTJ7Nst1qtSkxMvKnjXW+N9Z3Cag30dAm4gzCe4E0Yj/AmjEd4E1eMxwsX8ury5QsKDCyQ7ZExQE5ZLO59cI7D4dCFC+eVL1/emx73br/78b59+9SxY0f17NlTFotFBw8ezPK+yWS6aiK/2f/hjHCjqNvFjSvgKtwIBd6E8QhvwniEN3HVeMybt5DOnEnS+fNnXFAV7kZms1l2e/YbRbmaxeKnQoWs2cb9jW4U5dZQu3XrVnXt2lWxsbGKjIzU5s2blZyc7Hz/5MmTCgoKUnBwcJbtSUlJCgoKcmdpAAAAwF3Bx8eiokWLeboMGJi3/4Wf2+aQExIS9MYbb2jUqFGKjIyUJJUvX14HDx7U4cOHZbPZtGLFCtWqVUuhoaHy9/fX1q1bJUlLlixRrVq13FUaAAAAAOAO4baZ2unTpystLU3Dhw93bmvWrJmGDx+uLl26KC0tTREREapfv74kadSoUerbt68uXryosmXLKiYmxl2lAQAAAADuECbHHXIrNCNcU/tjdONbbl996UKvnvKHsXj7EhLcXRiP8CaMR3gTxiO8hafH4o2uqXXvLawAAAAAAHAjQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMi1ALAAAAADAsQi0AAAAAwLAItQAAAAAAw7J4uoC7hS09XdWXLrz19mnpLqwGAAAAAO4MhNpc4uPnp6bzOt1y+/kvTZaU5rqCAAAAAOAOwPJjAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhuT3UpqSkqGHDhjp27JgkqXfv3qpbt66io6MVHR2tdevWSZLi4uIUFRWlunXrauzYse4uCwAAAABwB7C4s/PffvtNffv21aFDh5zbfv/9d82ZM0dBQUHObampqYqNjdXs2bNVrFgxdezYURs2bFBERIQ7ywMAAAAAGJxbZ2rnz5+v/v37OwPspUuXFB8fr379+ikqKkrjx4+X3W7Xjh07VKJECYWFhclisSgqKkqrV692Z2kAAAAAgDuAW2dqhwwZkuX1qVOnVLVqVQ0cOFB58+ZVx44dtWDBAuXNm1dWq9W5X1BQkBITE2/qWEWKBLikZm9mtQZ6ugTcQRhP8CaMR3gTxiO8CeMR3sKbx6JbQ+3/CgsL08SJE52vW7VqpSVLlqh+/frZ9jWZTDfV96lTKbLbHbddo7u4YhAkJV1wQSXAlfHIeIK3YDzCmzAe4U0Yj/AWnh6LZrPpupOYuXr34z179mjNmjXO1w6HQxaLRcHBwUpOTnZuP3nyZJZrbgEAAAAAuJpcDbUOh0NDhw7VuXPnlJGRoXnz5qlOnToqX768Dh48qMOHD8tms2nFihWqVatWbpYGAAAAADCgXF1+XKZMGXXo0EHNmzdXZmam6tatq4YNG0qShg8fri5duigtLU0RERFXXZIMAAAAAMA/5Uqo/fbbb50/t2zZUi1btsy2T7Vq1bRs2bLcKAcAAAAAcIfI1eXHAAAAAAC4EqEWAAAAAGBYOQq1s2fPVkpKirtrAQAAAADgpuQo1O7du1f16tVTnz59tHPnTnfXBAAAAABAjuQo1A4aNEhr1qzRI488ovfff1+NGzfWggULlJaW5u76AAAAAAC4phxfUxsQEKD69eurYcOGOnv2rObOnav69etr9erV7qwPAAAAAIBrytEjfeLi4jR//nxt2rRJ9erV08SJE1WmTBkdOXJELVq04JmyAAAAAACPyFGoHThwoFq0aKFBgwYpMDDQub148eJq2rSp24oDAAAAAOB6crT8eNmyZSpYsKACAwOVlJSkWbNmyW63S5K6du3q1gIBAAAAALiWHN8oav369VcamM3aunWrhg4d6s66AAAAAAC4oRwtP96+fbtWrFghSSpSpIjGjRun6OhotxYGAAAAAMCN5GimNiMjQ+np6c7XmZmZbisIAAAAAICcytFM7VNPPaV27dopOjpaJpNJK1asUEREhLtrAwAAAADgunIUat9991199tln+uabb2SxWFSnTh01a9bM3bUBAAAAAHBdOQq1Pj4+iomJUUxMjLvrAQAAAAAgx3IUaletWqVRo0bp3Llzcjgczu3btm1zW2EAAAAAANxIjkLtuHHj1KtXL5UtW1Ymk8ndNQEAAAAAkCM5CrX58+dX3bp13V0LAAAAAAA3JUehtnz58tqwYQN3PPagzIwMWa2Bt9w+PS1N586n33hHAAAAADCQHIXaDRs2aM6cOfL19ZWvr68cDodMJhPX1OYii6+vJvR+5Zbbdx42UxKhFgAAAMCdJUehdtasWW4uAwAAAACAm2fOyU6hoaHauXOn5s+fr8KFC2v79u0KDQ11d20AAAAAAFxXjkLt1KlT9fnnn2v16tVKTU3VhAkTNHHiRHfXBgAAAADAdeUo1K5cuVLTpk3TPffco0KFCmn+/PlasWKFu2sDAAAAAOC6chRqLRaL/Pz8nK/z588viyVHl+MCAAAAAOA2OUqmxYoV0/r162UymZSenq7p06dzTS0AAAAAwONyFGr79eund999V3v27FGFChVUvnx5jRo1yt21AQAAAABwXTkKtcHBwfrkk090+fJl2Ww2BQQEuLsuAAAAAABuKEehdubMmVfd/sorr7i0GAAAAAAAbkaOQu3evXudP6enp2vr1q2qUqWK24oCAAAAACAnchRqhw0bluX16dOn9e6777qlIAAAAAAAcipHj/T5X4ULF9bx48ddXQsAAAAAADflpq+pdTgc+v3331WkSBG3FQUAAAAAQE7c9DW10pXn1rL8GAAAAADgabd0TS0AAAAAAN4gR6G2VatWMplM13z/008/dVlBAAAAAADkVI5C7SOPPKK//vpLTZs2la+vr5YuXarMzExFRka6uz4AAAAAAK4pR6F227Ztmjt3rnx8fCRJNWvWVNOmTVWvXj23FgcAAAAAwPXk6JE+p0+fVnp6uvP1xYsXlZqa6raiAAAAAADIiRzN1DZs2FBNmzZVnTp15HA49NVXXykmJsbdtQEAAAAAcF05CrVvvvmmypYtq59++kn+/v4aOHCgnnjiCXfXBgAAAADAdeVo+bEkBQcHq3Tp0urWrZt8fX3dWRMAAAAAADmSo1C7cOFC9e7dWx9//LEuXLig119/XfPnz3d3bQAAAAAAXFeOQu2cOXM0b948BQQEqEiRIlq0aJE++eQTd9cGAAAAAMB15SjUms1mBQQEOF8XK1bM+XgfAAAAAAA8JUehtmDBgtq1a5dMJpMkadmyZSpQoIBbCwMAAAAA4EZydPfj2NhYvfnmmzpy5Ihq1Kghf39/TZo0yd21AQAAAABwXTkKtampqVq6dKkOHTokm82m+++/nzsgAwAAAAA8LkfLj3v06CEfHx+VKlVKDz74IIEWAAAAAOAVchRqH3roIS1fvlzx8fE6e/as8x8AAAAAADwpR8uPv/nmG61evTrLNpPJpF27drmlKAAAAAAAciJHoXbnzp3urgMAAAAAgJt23eXH/fr1c/58+vRptxcDAAAAAMDNuG6o/f33350/t2vXzu3FAAAAAABwM64bah0Ox1V/BgAAAADAG+To7sfSlRtDAQAAAADgTa57oyi73a5z587J4XDIZrM5f/5bwYIF3V0fAAAAAADXdN1Qu3fvXlWtWtUZZKtUqeJ8j0f6AAAAAAA87bqhdvfu3blVBwAAAAAANy3H19QCAAAAAOBtCLUAAAAAAMMi1AIAAAAADItQCwAAAAAwLEItAAAAAMCwCLUAAAAAAMMi1AIAAAAADItQCwAAAAAwLEItAAAAAMCwCLUAAAAAAMMi1AIAAAAADItQCwAAAAAwLEItAAAAAMCwCLUAAAAAAMMi1AIAAAAADItQCwAAAAAwLLeG2pSUFDVs2FDHjh2TJMXFxSkqKkp169bV2LFjnfvt2rVLjRs3Vr169dSnTx9lZma6sywAAAAAwB3CbaH2t99+U/PmzXXo0CFJUmpqqmJjYzVp0iStWrVKv//+uzZs2CBJeuedd9SvXz+tWbNGDodD8+fPd1dZAAAAAHBHKVwon6zWwFv+p3ChfJ4+hdticVfH8+fPV//+/fXuu+9Kknbs2KESJUooLCxMkhQVFaXVq1frgQceUGpqqipUqCBJatSokcaPH68WLVq4qzQAAAAAuGP4WMwa+PaKW27/3uiGLqwm97kt1A4ZMiTL65MnT8pqtTpfBwUFKTExMdt2q9WqxMTEmz5ekSIBt17sXcJqDfR0CfAijAd4E8YjvAnjEd6E8YjccqOx5s1j0W2h9n85HI5s20wm0zW336xTp1Jkt2fvy1t4wyBISrrg6RLgJazWQMYDvAbjEd6E8QhvwnhETrkia1xvrHl6LJrNputOYuba3Y+Dg4OVnJzsfH3y5EkFBQVl256UlKSgoKDcKgsAAAAAYGC5FmrLly+vgwcP6vDhw7LZbFqxYoVq1aql0NBQ+fv7a+vWrZKkJUuWqFatWrlVFgAAAADAwHJt+bG/v7+GDx+uLl26KC0tTREREapfv74kadSoUerbt68uXryosmXLKiYmJrfKAgAAAAAYmNtD7bfffuv8uVq1alq2bFm2fcqUKaMFCxa4uxQAAAAAwB0m15YfAwAAAADgaoRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGJbF0wXcLdIz0zX/pcmeLgMAAAAA7iiE2lziZ/HTgSGNb7l9eJ+FLqwGAAAAAO4MLD8GAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYRFqAQAAAACGZfHEQWNiYnTq1ClZLFcOP3DgQB05ckSTJ09WRkaG2rRpo5YtW3qiNAAAAACAgeR6qHU4HDpw4IDWr1/vDLWJiYnq3r27Fi1aJD8/PzVr1kxVqlTRAw88kNvlAQAAAAAMJNdD7YEDB2QymfTqq6/q1KlTatq0qfLly6eqVauqYMGCkqR69epp9erV6ty5c26XBwAAAAAwkFy/pvb8+fOqVq2aJk6cqFmzZumLL75QfHy8rFarc5+goCAlJibmdmkAAAAAAIPJ9ZnaihUrqmLFipKkvHnzqkmTJho2bJhee+21LPuZTKab6rdIkQCX1XinsloDPV0CvAjjAd6E8QhvwniEN2E8IrfcaKx581jM9VC7ZcsWZWRkqFq1apKuXGMbGhqq5ORk5z4nT55UUFDQTfV76lSK7HaHS2t1JW8YBElJFzxdAryE1RrIeIDXYDzCmzAe4U0Yj8gpV2SN6401T49Fs9l03UnMXF9+fOHCBX3wwQdKS0tTSkqKFi9erJEjR2rTpk06ffq0Ll++rLVr16pWrVq5XRoAAAAAwGByfaa2du3a+u233/T888/LbrerRYsWeuyxx9S9e3fFxMQoIyNDTZo0Ubly5XK7NAAAAACAwXjkObXdunVTt27dsmyLiopSVFSUJ8oBAAAAABhUri8/BgAAAADAVQi1AAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADDsni6AORMZka6Og+beVvtAQAAAOBOQ6g1CIuvn5rO63TL7ee/NFlSmusKAgAAAAAvwPJjAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGBahFgAAAABgWIRaAAAAAIBhEWoBAAAAAIZFqAUAAAAAGJbF0wUAuaVo0QCZTKZbbu9wOJScnOLCigAAAADcLkIt7homk0lRby+95fbLR0e7sBoAAAAArsDyYwAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWgAAAACAYXH3YyCHHA6HrNbA2+6DxwIBAAAArkOoBXLodh8JJPFYIAAAAMDVWH4MAAAAADAsQi0AAAAAwLAItQAAAAAAwyLUAgAAAAAMixtFwTCKFg2QyWTydBkAAAAAvAihFoZxu3cf5s7DAAAAwJ2H5ccAAAAAAMMi1AIAAAAADItQCwAAAAAwLK6pRa7hRk8AAAAAXI1Qi1zDjZ4AAAAAuBrLjwEAAAAAhkWoBQAAAAAYFsuPDSI9M13zX5p8W+0BAAAA4E5DqDUIP4ufDgxpfMvtw/sslJTmuoIAAAAAwAuw/BgAAAAAYFiEWgAAAACAYRFqAQAAAACGRagFAAAAABgWN4oCDKRo0QCZTKZbbu9wOJScnOLCigAAAADPItQCBmIymRT19tJbbr98dLQLqwEAAAA8j+XHAAAAAADDItQCAAAAAAyLUAsAAAAAMCyuqQVykcPhkNUa6OkyAAAAgDsGoRbIRdzoCQAAAHAtlh8DAAAAAAyLUAsAAAAAMCxCLQAAAADAsLimFjlStGiATCaTp8sAAAAAgCwItciR273BkcRNjgAAAAC4nlctP16+fLmeffZZ1alTR5999pmnywEAAAAAeDmvmalNTEzU2LFjtWjRIvn5+alZs2aqUqWKHnjgAU+XBgAAAADwUl4TauPi4lS1alUVLFhQklSvXj2tXr1anTt3zlF7s9n7r/e0FLB6tP3tfkZBhe65rfau6MPo7T1dg8PhkNUaKEnOf99s+9u5ttrhcOj06Yu33N4VChfOZ/hzuBMZ4TscWd3J/y8xHuFNGI/IiYz0TL03uuFttb/RWPPkWLzRsU0Oh8ORS7Vc15QpU3Tp0iV1795dkvTll19qx44dGjRokIcrAwAAAAB4K6+5pvZq2Zq77QIAAAAArsdrQm1wcLCSk5Odr0+ePKmgoCAPVgQAAAAA8HZeE2qffPJJbdq0SadPn9bly5e1du1a1apVy9NlAQAAAAC8mNfcKCo4OFjdu3dXTEyMMjIy1KRJE5UrV87TZQEAAAAAvJjX3CgKAAAAAICb5TXLjwEAAAAAuFmEWgAAAACAYRFqAQAAAACGRagFAAAAABgWoRYAAAAAYFiEWjdbvny5nn32WdWpU0efffaZp8vBXWjChAmKjIxUZGSkPvjgA0lSXFycoqKiVLduXY0dO9bDFeJuNGLECPXq1UuStGvXLjVu3Fj16tVTnz59lJmZ6eHqcLf49ttv1ahRI9WvX1+DBw+WxPcjPGfp0qXO39cjRoyQxPcjcldKSooaNmyoY8eOSbr296E3jktCrRslJiZq7Nixmjt3rpYuXap58+Zp//79ni4Ld5G4uDht3LhRixcv1pIlS/THH39oxYoVio2N1aRJk7Rq1Sr9/vvv2rBhg6dLxV1k06ZNWrx4sfP1O++8o379+mnNmjVyOByaP3++B6vD3eLo0aPq37+/Jk2apOXLl+vPP//Uhg0b+H6ER1y+fFlDhgzR7NmztXTpUm3ZskVxcXF8PyLX/Pbbb2revLkOHTokSUpNTb3m96E3jktCrRvFxcWpatWqKliwoPLmzat69epp9erVni4LdxGr1apevXrJz89Pvr6+KlWqlA4dOqQSJUooLCxMFotFUVFRjEvkmrNnz2rs2LF67bXXJEnHjx9XamqqKlSoIElq1KgR4xG5Yt26dXr22WcVEhIiX19fjR07Vvfccw/fj/AIm80mu92uy5cvKzMzU5mZmbJYLHw/ItfMnz9f/fv3V1BQkCRpx44dV/0+9Nbf2xZPF3AnO3nypKxWq/N1UFCQduzY4cGKcLcpXbq08+dDhw5p1apVatWqVbZxmZiY6InycBd677331L17dyUkJEjK/j1ptVoZj8gVhw8flq+vr9q1a6ekpCTVrl1bpUuX5vsRHhEQEKA333xTDRo0UJ48efTEE0/I19eX70fkmiFDhmR5fbUck5iY6LW/t5mpdSOHw5Ftm8lk8kAluNvt27dPbdu2Vc+ePVW8ePFs7zMukRu+/PJLFStWTNWqVXNu43sSnmKz2bRp0yaNHDlS8+fP186dO53Xkf0T4xG5Yffu3Vq4cKG+++47bdy4UWazWT/++GO2/RiPyC3X+v3srb+3mal1o+DgYG3ZssX5+uTJk84pfSC3bN26VV27dlVsbKwiIyO1efNmJScnO99nXCK3rFq1SklJSYqOjta5c+d06dIlmUymLOMxKSmJ8YhcUbRoUVWrVk2FCxeWJD399NNavXq1fHx8nPvw/YjcsnHjRlWrVk1FihSRdGVJ5/Tp0/l+hMcEBwdf9c+L/7vdW8YlM7Vu9OSTT2rTpk06ffq0Ll++rLVr16pWrVqeLgt3kYSEBL3xxhsaNWqUIiMjJUnly5fXwYMHdfjwYdlsNq1YsYJxiVwxc+ZMrVixQkuXLlXXrl3173//W8OGDZO/v7+2bt0qSVqyZAnjEbmidu3a2rhxo86fPy+bzaYffvhB9evX5/sRHlGmTBnFxcXp0qVLcjgc+vbbb/XEE0/w/QiPudafF0NDQ71yXDJT60bBwcHq3r27YmJilJGRoSZNmqhcuXKeLgt3kenTpystLU3Dhw93bmvWrJmGDx+uLl26KC0tTREREapfv74Hq8TdbtSoUerbt68uXryosmXLKiYmxtMl4S5Qvnx5tW/fXi1atFBGRoaqV6+u5s2bKzw8nO9H5LoaNWrozz//VKNGjeTr66tHH31UHTp0UJ06dfh+hEf4+/tf88+L3vh72+S42sJoAAAAAAAMgOXHAAAAAADDItQCAAAAAAyLUAsAAAAAMCxCLQAAAADAsAi1AAAAAADD4pE+AADkkmPHjqlOnTp68MEHJUl2u12+vr6KiYnR888/79niAAAwKEItAAC5KE+ePFq6dKnz9fHjx9WmTRvdc889qlevngcrAwDAmAi1AAB4UGhoqLp27arp06erdu3aGjVqlH755RfZbDaVLVtWffv2VUBAgHbs2KEBAwYoIyNDxYsXV3x8vHr16iVJGjJkiPLmzatLly5pwYIF2rhxoyZPnqyMjAzlyZNHPXv2VMWKFSVJkydP1tq1a2W32xUaGqr+/fsrODjYkx8BAAC3hVALAICHlSlTRnv37tXUqVPl4+OjRYsWyWQyacyYMRo1apT69u2rLl26aODAgYqIiNBPP/2kNm3aONvv27dPX3/9tUJDQ3Xo0CGNHTtWn376qQoVKqR9+/bplVde0dq1a7V27Vrt3btXX375pSwWi+bNm6e+fftq2rRpnjt5AABuE6EWAAAPM5lMypMnj9avX68LFy4oLi5OkpSRkaEiRYpo7969kqSIiAhJUtWqVVW6dGln+2LFiik0NFSS9OOPP+rkyZNZQq/JZNKRI0f03XffaefOnWrcuLGkK9f0Xr58OTdOEQAAtyHUAgDgYTt37tSDDz6olJQUxcbGOsPrxYsXlZaWpqSkJDkcjixtfHx8nD/nzZvX+bPdble1atX0n//8x7ktISFBQUFBstvtat++vVq0aCFJSk9P17lz59x4ZgAAuB+P9AEAwIMOHjyoSZMmqW3btqpRo4Y+++wzpaeny263q1+/fhozZoxKlSolPz8/ff/995KkHTt2aO/evTKZTNn6q1q1qn788Uf99ddfkqQNGzboueeeU1pammrUqKEFCxYoJSVFkjRu3Di9++67uXeyAAC4ATO1AADkotTUVEVHR0uSzGaz/P399dZbb+mpp55S1apVNWLECL3wwguy2Wx6+OGH1atXL1ksFn344Yfq37+/xowZo5IlS6po0aLKkydPtuXDpUuX1sCBA/XWW2/J4XDIYrFo8uTJyps3r1588UUlJiaqadOmMplMKlasmIYPH+6JjwEAAJcxOf53PRMAAPA6I0aMULt27VS0aFElJCQoOjpaX3/9tfLnz+/p0gAA8ChmagEAMIDQ0FC1adNGFotFDodDgwcPJtACACBmagEAAAAABsaNogAAAAAAhkWoBQAAAAAYFqEWAAAAAGBYhFoAAAAAgGERagEAAAAAhvV/4kRx2io/vHoAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"degrees_all.plot(kind=\"hist\", bins=bins_number, stacked=True, figsize=(16,8))\n",
"plt.xlabel('Degree')\n",
"plt.savefig(\"all_dist_stacked.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data":
View raw

(Sorry about that, but we can’t show files that are this big right now.)

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