{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Matematikai Algoritmusok és Felfedezések I.\n", "\n", "## 10. Előadás: Gráfok és algoritmusok\n", "### 2021 április 12." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "printmaze(makemaze(10,10))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "import numpy as np\n", "import random as rn \n", "import networkx as nx" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Gráf adatstruktúra\n", "\n", "Több lehetőség is van, mindnek megvannak az előnyei és hátrányai. \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.erdos_renyi_graph(20, 0.3)\n", "nx.draw(G)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Első lehetőség: élek listája\n", "Egy listában tároljuk a gráf éleit. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "graph_ellista=[(\"a\",\"b\"),(\"b\",\"c\"),(\"c\",\"d\"),(\"d\",\"b\"),(\"b\",\"e\")]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def maxfok1(l):\n", " d={}\n", " for el in l:\n", " if el[0] in d:\n", " d[el[0]]=d[el[0]]+1\n", " else:\n", " d[el[0]]=1\n", " if el[1] in d:\n", " d[el[1]]=d[el[1]]+1\n", " else:\n", " d[el[1]]=1\n", " return max(d,key=lambda x:d[x]) " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'b'" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maxfok1(graph_ellista)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Második lehetőség: szomszédsági lista\n", "Minden csúcshoz felírjuk a szomszédait. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "graph = { \"a\" : [\"c\"],\n", " \"b\" : [\"c\", \"e\"],\n", " \"c\" : [\"a\", \"b\", \"d\", \"e\"],\n", " \"d\" : [\"c\"],\n", " \"e\" : [\"c\", \"b\"],\n", " \"f\" : []\n", " } " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def maxfok2(l):\n", " return max(l,key=lambda x: len(l[x]) ) " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'c'" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maxfok2(graph)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "usa={\"AL\" : [ \"FL\", \"GA\", \"TN\", \"MS\" ],\n", "\"AK\" : [ ],\n", "\"AZ\" : [ \"NM\", \"UT\", \"NV\", \"CA\" ],\n", "\"AR\" : [ \"LA\", \"MS\", \"TN\", \"MO\", \"OK\", \"TX\" ],\n", "\"CA\" : [ \"AZ\", \"NV\", \"OR\" ],\n", "\"CO\" : [ \"NM\", \"OK\", \"KS\", \"NE\", \"WY\", \"UT\" ],\n", "\"CT\" : [ \"RI\", \"MA\", \"NY\" ],\n", "\"DE\" : [ \"NJ\", \"PA\", \"MD\" ],\n", "\"DC\" : [ \"MD\", \"VA\" ],\n", "\"FL\" : [ \"GA\", \"AL\" ],\n", "\"GA\" : [ \"SC\", \"NC\", \"TN\", \"AL\", \"FL\" ],\n", "\"HI\" : [ ],\n", "\"ID\" : [ \"WA\", \"OR\", \"NV\", \"UT\", \"WY\", \"MT\" ],\n", "\"IL\" : [ \"WI\", \"IA\", \"MO\", \"KY\", \"IN\" ],\n", "\"IN\" : [ \"IL\", \"KY\", \"OH\", \"MI\" ],\n", "\"IA\" : [ \"MN\", \"SD\", \"NE\", \"MO\", \"IL\", \"WI\" ],\n", "\"KS\" : [ \"OK\", \"MO\", \"NE\", \"CO\" ],\n", "\"KY\" : [ \"TN\", \"VA\", \"WV\", \"OH\", \"IN\", \"IL\", \"MO\" ],\n", "\"LA\" : [ \"MS\", \"AR\", \"TX\" ],\n", "\"ME\" : [ \"NH\" ],\n", "\"MD\" : [ \"DE\", \"PA\", \"WV\", \"VA\", \"DC\" ],\n", "\"MA\" : [ \"NH\", \"VT\", \"NY\", \"CT\", \"RI\" ],\n", "\"MI\" : [ \"WI\", \"IN\", \"OH\" ],\n", "\"MN\" : [ \"ND\", \"SD\", \"IA\", \"WI\" ],\n", "\"MS\" : [ \"AL\", \"TN\", \"AR\", \"LA\" ],\n", "\"MO\" : [ \"AR\", \"TN\", \"KY\", \"IL\", \"IA\", \"NE\", \"KS\", \"OK\" ],\n", "\"MT\" : [ \"ID\", \"WY\", \"SD\", \"ND\" ],\n", "\"NE\" : [ \"KS\", \"MO\", \"IA\", \"SD\", \"WY\", \"CO\" ],\n", "\"NV\" : [ \"AZ\", \"UT\", \"ID\", \"OR\", \"CA\" ],\n", "\"NH\" : [ \"VT\", \"MA\", \"ME\" ],\n", "\"NJ\" : [ \"NY\", \"PA\", \"DE\" ],\n", "\"NM\" : [ \"TX\", \"OK\", \"CO\", \"AZ\" ],\n", "\"NY\" : [ \"PA\", \"NJ\", \"CT\", \"MA\", \"VT\" ],\n", "\"NC\" : [ \"VA\", \"TN\", \"GA\", \"SC\" ],\n", "\"ND\" : [ \"MT\", \"SD\", \"MN\" ],\n", "\"OH\" : [ \"MI\", \"IN\", \"KY\", \"WV\", \"PA\" ],\n", "\"OK\" : [ \"TX\", \"AR\", \"MO\", \"KS\", \"CO\", \"NM\" ],\n", "\"OR\" : [ \"CA\", \"NV\", \"ID\", \"WA\" ],\n", "\"PA\" : [ \"OH\", \"WV\", \"MD\", \"DE\", \"NJ\", \"NY\" ],\n", "\"RI\" : [ \"MA\", \"CT\" ],\n", "\"SC\" : [ \"NC\", \"GA\" ],\n", "\"SD\" : [ \"NE\", \"IA\", \"MN\", \"ND\", \"MT\", \"WY\" ],\n", "\"TN\" : [ \"AL\", \"GA\", \"NC\", \"VA\", \"KY\", \"MO\", \"AR\", \"MS\" ],\n", "\"TX\" : [ \"LA\", \"AR\", \"OK\", \"NM\" ],\n", "\"UT\" : [ \"AZ\", \"CO\", \"WY\", \"ID\", \"NV\"],\n", "\"VT\" : [ \"NY\", \"MA\", \"NH\" ],\n", "\"VA\" : [ \"MD\", \"DC\", \"WV\", \"KY\", \"TN\", \"NC\" ],\n", "\"WA\" : [ \"OR\", \"ID\" ],\n", "\"WV\" : [ \"VA\", \"MD\", \"PA\", \"OH\", \"KY\" ],\n", "\"WI\" : [ \"MN\", \"IA\", \"IL\", \"MI\" ],\n", "\"WY\" : [ \"CO\", \"NE\", \"SD\", \"MT\", \"ID\", \"UT\" ]}" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "maxfok2(usa)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Harmadik lehetőség: szomszédsági mátrix\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "graphszom=np.array([[0,0,1,1],[0,0,0,1],[1,0,0,1],[1,1,1 ,0]])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 0, 1, 1],\n", " [0, 0, 0, 1],\n", " [1, 0, 0, 1],\n", " [1, 1, 1, 0]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graphszom" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def maxfok3(A):\n", " return A.sum(axis=0).argmax()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maxfok3(graphszom)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Mikor melyiket válasszuk?\n", "Mint mindig a helyzettől függ, mindegyiknek van előnye is és hátránya is. \n", "\n", "![interpreted](graf.jpg)\n", "\n", "**Szomszédsági mátrix**\n", " - Lassú hozzáadni és törölni a csúcsokat, mivel át kell méretezni a tömböt.\n", " - Nagy a memória igénye. \n", " - Gyorsan kérdezhetjük le az éleket.\n", " - Algebrai számítások esetén elkerülhetetlen (gráf spektruma, gráf sajátértékei stb..)\n", " - Sűrű gráfok (sok él van, négyzetesen sok) esetén hasznos.\n", "\n", "**Szomszédsági lista**\n", " - Gyors hozzáadni csúcsokat\n", " - Kisebb memória igény\n", " - Lassú lekérdezni\n", " - Ritka gráfok (kevés él van, mondjuk lineáris sok) esetén hasznos.\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Gráf algoritmusok\n", "- Sok valóélet-beli problémát modellezhetünk gráfokkal.\n", "- A hálózatok méretének növekedése miatt egyre fontosabb szerepet kapnak a hatékony algoritmusok.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Szélességi bejárás" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = { \"a\" : [\"c\"],\n", " \"b\" : [\"c\", \"e\",\"f\"],\n", " \"c\" : [\"a\", \"b\", \"d\", \"e\"],\n", " \"d\" : [\"c\"],\n", " \"e\" : [\"c\", \"b\"],\n", " \"f\" : [\"b\"]\n", " } \n", "G = nx.from_dict_of_lists(graph)\n", "nx.draw(G,with_labels=True,font_color='white',font_size=20,node_size=500)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "e c b a d f " ] } ], "source": [ "visited = set() # Meglátogatott csúcsok.\n", "queue = [] #Egy sor adatszerkezet, őket még fel kell dolgozni\n", "\n", "def bfs(visited, graph, node):\n", " visited.add(node)\n", " queue.append(node)\n", "\n", " while queue:\n", " s = queue.pop(0) \n", " print (s, end = \" \") \n", "\n", " for neighbour in graph[s]:\n", " if neighbour not in visited:\n", " visited.add(neighbour)\n", " queue.append(neighbour)\n", "\n", "# Driver Code\n", "bfs(visited, graph, 'e')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Mélységi bejárás" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.from_dict_of_lists(graph)\n", "nx.draw(G,with_labels=True,font_color='white',font_size=20,node_size=500)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a\n", "c\n", "b\n", "e\n", "f\n", "d\n" ] } ], "source": [ "visited = set() # Meglátogatott csúcsok\n", "\n", "def dfs(visited, graph, node):\n", " if node not in visited:\n", " print (node)\n", " visited.add(node)\n", " for neighbour in graph[node]:\n", " dfs(visited, graph, neighbour)\n", "\n", "dfs(visited, graph, 'a')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Negyedik lehetőség: valami, amit már megírtak, NetworkX\n", "\n", "Több modul van, ami kifejezetten a gráfok kezelésére készült, ebből nézünk meg most egyet.\n", "\n", " NetworkX a háttérben szomszédsági listákkal reprezentálja a gráfot: \n", "\n", "\"The graph internal data structures are based on an adjacency list representation and implemented using Python dictionary datastructures. The graph adjacency structure is implemented as a Python dictionary of dictionaries; the outer dictionary is keyed by nodes to values that are themselves dictionaries keyed by neighboring node to the edge attributes associated with that edge. This “dict-of-dicts” structure allows fast addition, deletion, and lookup of nodes and neighbors in large graphs. The underlying datastructure is accessed directly by methods (the programming interface “API”) in the class definitions. All functions, on the other hand, manipulate graph-like objects solely via those API methods and not by acting directly on the datastructure. This design allows for possible replacement of the ‘dicts-of-dicts’-based datastructure with an alternative datastructure that implements the same methods.\"" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "import networkx as nx # Gráfokhoz\n", "import matplotlib.pyplot as plt # Rajzokhoz\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Négy gráf adatszerkezet:\n", "- `Graph` irányítatlan, nincsenek párhuzamost élek \n", "- `DiGraph` irányított, nincsenek párhuzamost élek\n", "- `MultiGraph` irányítatlan, vannak párhuzamost élek\n", "- `MultiDiGraph` irányított, vannak párhuzamost élek" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G=nx.Graph()\n", "G.add_node(3) # Bármilyen hashelhető típus lehet node. \n", "G.add_node(\"a\") # Bármilyen hashelhető típus lehet node. \n", "G.add_edge(1,2)\n", "G.add_edges_from([(1,4),(1,3)])\n", "G.add_edge(1,5)\n", "nx.draw(G,with_labels=True,font_color='white',font_size=20,node_size=500)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G.remove_edge(1,2)\n", "nx.draw(G,with_labels=True,font_color= 'white',font_size=20,node_size=500)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Attribútumok\n", "Bármilyen gráfhoz, élhez és csúcshoz tudunk attribútumokat rendelni. Ez sokszor hasznos, például, amikor súlyozott gráfokkal dolgozunk. \n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'time': '5pm', 'col': 'white'}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.add_node(\"x\", time='5pm',col=\"white\")\n", "G.nodes[\"x\"]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "G.add_edge(2, 3, weight=0.9) # specify edge data\n", "G.add_edge(2, 7, color=\"green\") \n", "elist = [('a', 'b', 5.0), ('b', 'c', 3.0), ('a', 'c', 1.0), ('c', 'd', 7.3)]\n", "G.add_weighted_edges_from(elist)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Adatok elérése, iterálás" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "EdgeView([(3, 1), (3, 2), ('a', 'b'), ('a', 'c'), (1, 4), (1, 5), (2, 7), ('b', 'c'), ('c', 'd')])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.edges() #Ezzel a függvénnyel elérjük az éleket, de nem tudjuk megváltoztatni őket. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "NodeView((3, 'a', 1, 2, 4, 5, 'x', 7, 'b', 'c', 'd'))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.nodes()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.number_of_nodes()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{1: {}, 2: {'weight': 0.9}}\n", "{'weight': 0.9}\n", "0.9\n", "4\n" ] } ], "source": [ "print(G[3])\n", "print(G.edges[2,3])\n", "print(G.edges[2,3][\"weight\"])\n", " \n", "G.edges[1, 4]['weight'] = 4\n", "print(G.edges[1,4][\"weight\"])\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "((3, 1), {})\n", "((3, 2), {'weight': 0.9})\n", "(('a', 'b'), {'weight': 5.0})\n", "(('a', 'c'), {'weight': 1.0})\n", "((1, 4), {'weight': 4})\n", "((1, 5), {})\n", "((2, 7), {'color': 'green'})\n", "(('b', 'c'), {'weight': 3.0})\n", "(('c', 'd'), {'weight': 7.3})\n" ] } ], "source": [ "for e in G.edges.items():\n", " print(e)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3 2\n", "a b\n", "a c\n", "1 4\n", "b c\n", "c d\n" ] } ], "source": [ "for u, v, weight in G.edges.data('weight'):\n", " if weight is not None:\n", " print(u,v)\n", " pass" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.petersen_graph()\n", "plt.subplot(121)\n", "nx.draw(G, with_labels=True,font_weight='bold',font_color='white',font_size=12,node_size=200)\n", "plt.subplot(122)\n", "nx.draw_shell(G, nlist=[range(5, 10), range(5)], with_labels=True, font_weight='bold',font_color='white',font_size=12,node_size=200)\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DegreeView({0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3, 8: 3, 9: 3})" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.degree()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "degree_sequence = list(G.degree())\n", "nb_nodes = len(degree_sequence)\n", "nb_arr = len(G.edges())\n", "avg_degree = np.mean(np.array(degree_sequence)[:,1])\n", "med_degree = np.median(np.array(degree_sequence)[:,1])\n", "max_degree = max(np.array(degree_sequence)[:,1])\n", "min_degree = np.min(np.array(degree_sequence)[:,1])" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of nodes : 10\n", "Number of edges : 15\n", "Maximum degree : 3\n", "Minimum degree : 3\n", "Average degree : 3.0\n", "Median degree : 3.0\n" ] } ], "source": [ "print(\"Number of nodes : \" + str(nb_nodes))\n", "print(\"Number of edges : \" + str(nb_arr))\n", "print(\"Maximum degree : \" + str(max_degree))\n", "print(\"Minimum degree : \" + str(min_degree))\n", "print(\"Average degree : \" + str(avg_degree))\n", "print(\"Median degree : \" + str(med_degree))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Beépített algoritmusok NetworkXben\n", "Teljes lista: [Itt](https://networkx.github.io/documentation/stable/reference/algorithms/index.html)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: {0: [0],\n", " 1: [0, 1],\n", " 4: [0, 4],\n", " 5: [0, 5],\n", " 2: [0, 1, 2],\n", " 6: [0, 1, 6],\n", " 3: [0, 4, 3],\n", " 9: [0, 4, 9],\n", " 7: [0, 5, 7],\n", " 8: [0, 5, 8]},\n", " 1: {1: [1],\n", " 0: [1, 0],\n", " 2: [1, 2],\n", " 6: [1, 6],\n", " 4: [1, 0, 4],\n", " 5: [1, 0, 5],\n", " 3: [1, 2, 3],\n", " 7: [1, 2, 7],\n", " 8: [1, 6, 8],\n", " 9: [1, 6, 9]},\n", " 2: {2: [2],\n", " 1: [2, 1],\n", " 3: [2, 3],\n", " 7: [2, 7],\n", " 0: [2, 1, 0],\n", " 6: [2, 1, 6],\n", " 4: [2, 3, 4],\n", " 8: [2, 3, 8],\n", " 5: [2, 7, 5],\n", " 9: [2, 7, 9]},\n", " 3: {3: [3],\n", " 2: [3, 2],\n", " 4: [3, 4],\n", " 8: [3, 8],\n", " 1: [3, 2, 1],\n", " 7: [3, 2, 7],\n", " 0: [3, 4, 0],\n", " 9: [3, 4, 9],\n", " 5: [3, 8, 5],\n", " 6: [3, 8, 6]},\n", " 4: {4: [4],\n", " 0: [4, 0],\n", " 3: [4, 3],\n", " 9: [4, 9],\n", " 1: [4, 0, 1],\n", " 5: [4, 0, 5],\n", " 2: [4, 3, 2],\n", " 8: [4, 3, 8],\n", " 6: [4, 9, 6],\n", " 7: [4, 9, 7]},\n", " 5: {5: [5],\n", " 0: [5, 0],\n", " 7: [5, 7],\n", " 8: [5, 8],\n", " 1: [5, 0, 1],\n", " 4: [5, 0, 4],\n", " 2: [5, 7, 2],\n", " 9: [5, 7, 9],\n", " 3: [5, 8, 3],\n", " 6: [5, 8, 6]},\n", " 6: {6: [6],\n", " 1: [6, 1],\n", " 8: [6, 8],\n", " 9: [6, 9],\n", " 0: [6, 1, 0],\n", " 2: [6, 1, 2],\n", " 3: [6, 8, 3],\n", " 5: [6, 8, 5],\n", " 4: [6, 9, 4],\n", " 7: [6, 9, 7]},\n", " 7: {7: [7],\n", " 2: [7, 2],\n", " 5: [7, 5],\n", " 9: [7, 9],\n", " 1: [7, 2, 1],\n", " 3: [7, 2, 3],\n", " 0: [7, 5, 0],\n", " 8: [7, 5, 8],\n", " 4: [7, 9, 4],\n", " 6: [7, 9, 6]},\n", " 8: {8: [8],\n", " 3: [8, 3],\n", " 5: [8, 5],\n", " 6: [8, 6],\n", " 2: [8, 3, 2],\n", " 4: [8, 3, 4],\n", " 0: [8, 5, 0],\n", " 7: [8, 5, 7],\n", " 1: [8, 6, 1],\n", " 9: [8, 6, 9]},\n", " 9: {9: [9],\n", " 4: [9, 4],\n", " 6: [9, 6],\n", " 7: [9, 7],\n", " 0: [9, 4, 0],\n", " 3: [9, 4, 3],\n", " 1: [9, 6, 1],\n", " 8: [9, 6, 8],\n", " 2: [9, 7, 2],\n", " 5: [9, 7, 5]}}" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.shortest_path(G)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0]\n", "[1]\n", "[2]\n", "[3]\n", "[4]\n", "[5]\n", "[6]\n", "[7]\n", "[8]\n", "[9]\n", "[0, 1]\n", "[0, 4]\n", "[0, 5]\n", "[1, 2]\n", "[1, 6]\n", "[2, 3]\n", "[2, 7]\n", "[3, 4]\n", "[3, 8]\n", "[4, 9]\n", "[5, 7]\n", "[5, 8]\n", "[6, 8]\n", "[6, 9]\n", "[7, 9]\n" ] } ], "source": [ "for l in nx.enumerate_all_cliques(G):\n", " print(l)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[1, 2, 4, 1, 2, 0, 1, 0]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5czFhwgSuoxAdt2LFCty/fx979uzhOgphGU1uIY1mY2ODxMRETJo0Ca6urti3bx+4/j1qyZIlCA8P5zwH0X1z5szB0aNHUVRUxHUUwjIa8RFWXL9+HVOmTEHv3r2xc+dOtG7dmpMcSqUSjo6O2LRpEzw9PTnJQPTHggULwOfzaXcgPUMjPsKKPn364OrVq7CxsYGjoyMuXLjASQ4+n4/Q0FCEh4dz0j/RLwsWLEBUVBSePKn7qCKiW6jwEdaYmppi69at2LVrF6ZMmYKlS5dCKpVqPMfEiRNRWFiIy5cva7xvol86deoEPz8/fPPNN1xHISyiR51ELX7//XfMmDEDv/32G/bv36/xmXHbt2/HuXPncPToUY32S/RPXl4ehg4dCrFYjObNm3Mdh7CARnxELdq1a4f4+HjMmDED7u7u2L17t0YnnAQGBiI9PR15eXka65Pop169esHNzQ2RkZFcRyEsoREfUbvc3FxMmTIFIpEIu3fvhqWlpUb6XbVqFQoLC+kHFmmyy5cvY+LEiSgoKIBQSKev6zoa8RG1c3BwwOXLl2FnZ4e+ffvi9OnTGul3zpw5iIuLw4MHDzTSH9FfLi4usLW1RWxsLNdRCAtoxEc06syZM/jggw8wceJErFmzBs2aNVNrfwsXLoRSqcRXX32l1n6I/jt16hQWLFiA69evg8+nMYMuo6tHNGr48OHIzs6GWCyGi4sLcnNz1drf/Pnz8d133+Hx48dq7YfovxEjRsDY2BiJiYlcRyFNRIWPaFzbtm3x448/4qOPPoKHhwe++eYbtU186dixI8aOHYsdO3aopX1iOHg8Xu3OQES30aNOwqn8/HxMmTIFNjY2iIyMRLt27Vjv4/bt2xg8eDDEYjHMzOiIGdJ4CoUC9vb2+O677+Du7s51HNJINOIjnOrRowd++ukn9OnTB3379kVSUhLrfdjb22PIkCHYu3cv620TwyIQCLB48WIa9ek4GvERrZGSkoKAgAD4+flh3bp1MDU1Za3tq1evwt/fH3fu3KHp6KRJampqYGtri5MnT6JPnz5cxyGNQCM+ojU8PDyQlZWFkpISODs74/r166y17ezsjO7du+PgwYOstUkMk4mJCebNm4f169dzHYU0Eo34iNZhGAYxMTEICQnBsmXLMHfuXFamj585cwaffPIJcnJyaDo6aZJnz57B1tYWV69ehUgk4joOaSC6+4nW4fF4CAgIQEZGBmJjYzFy5Ej89ttvTW737bffhqmpKY4fP85CSmLIWrZsiVmzZmHTpk1cRyGNQIWPaC07OzukpqZi4MCB6NevH+Li4prU3l/T0deuXUsH1ZIm++STT3DgwAH8/vvvXEchDUSPOolOSE9Px9SpU+Hp6YlNmzY1elmCQqFAr169sGfPHgwZMoTllMTQfPjhh2jTpg1WrVrFdRTSADTiIzrBzc0Nv/zyC6qqquDk5IRr1641qh2ajk7YtHDhQuzcuRPPnj3jOgppACp8RGdYWFggOjoan3/+Oby9vbF+/XoolcoGtzN16lRkZ2cjOztbDSmJIbG1tYWnpye+/fZbrqOQBqBHnUQn3bt3D1OnToWRkRGio6PRqVOnBr1/48aNuHbtGg4cOKCmhMRQZGdnw8fHB4WFhWrfdJ2wg0Z8RCd17doV58+fx9tvvw0nJyccPny4Qe+fNWsWTp06hcLCQjUlJIbC0dERjo6OiImJ4ToKURGN+IjOu3LlCt577z0MHjwYW7duhbm5uUrvW758OZ48eYJvvvlGzQmJvrt48SKCgoKQl5cHgUDAdRxSDxrxEZ335ptv4pdffgGPx0O/fv1w+fJlld43d+5c/PDDDygpKVFzQqLvBg8eDEtLSxw7dozrKEQFNOIjeuXIkSOYM2cOPv74YyxdurTe374/+ugjtGzZEmvWrKn9d5JqGcRllZDKlTA24kNkaQYLU9rfU9N07TrEx8djxYoVuHr1Kng8HtdxSB2o8BG98/DhQwQEBEAmkyEmJgavvfbaK18rFovh7OyMEz9lIzarFCn5pXhWI4OJkQDgAWCAGrkCLU2E8OhhhRnuIvTuYKGxz2Jobj6SYG+aWCevg1KpxBtvvIGtW7di+PDhXMchdaDCR/SSUqnEpk2bsH79emzduhVTpkx56esKSyvgu/Yoapq1BsMTQFHH7SDg8SA04sHe2hybJ/SFrVULdcU3OIWlFZgXm4X838shkzM6ex2io6MRHR2NM2fOcB2F1IEKH9Fr165dw5QpUzBgwADs2LEDFhb/HSVEpYuxLvkWnsuUaMhNwOcBxkZ8hHr1xHQ32qC4qf66DlK5EsoGXAhtvA4ymQzdunXDkSNH4OzszHUc8go0uYXotf79++PatWswNzdH3759kZaWBgBYk5iH9cm3UdPAogcASgaokSmxPvk21iTmsR/agPz9OjSk6AHaeR2EQiFCQkKwbt06rqOQOtCIjxiM+Ph4zJo1C4NnhOGGwBbVsobv+vK/TIUCLPay15oRhy6JShdjffJtVMsUTW5Lm65DZWUlRCIRUlNTYW9vz3Uc8hJU+IhBuZwrxqR92WD47M0ONBHykTR3CESWjds42xAVllbAZ1sqalj45eMv2nQdVqxYgfv372PPnj1cRyEvQY86iUFZc74IPAG7U+KlciXmxf7Capv6bv6hLEjl7BU9QLuuw5w5c3D06FEUFRVxHYW8BBU+YjBuPJLgdkn5K79LCh/7Bs7M98DNL7zwS9gIRH3gjB7W9c8YVDJAfkk5bj6SsJxYP9V3Hf7O17EDfl07Cr+uHYXPRjvU+Vptug5t27bFBx98gM2bN3MdhbwEFT5iMCLTxJDJX/3TdpJzFzyrkSE++xEqauQYZt8O+6a/iWZG9d8mUgWDyDQxm3H1Vn3X4S82LU2w0u91yBSqjwy16TosWLAAUVFRePLkCddRyP+gwkcMRkp+aZ3rw0ZvS8XYiJ+w9FgOJu/OAAC0tzBFt3b1j/oUSgYpBaWsZdVn9V2Hv2wa74iSZzU4eaNY5ba16Tp06tQJfn5+tBesFqLCRwyCpFqGZzWyOl9z49F/DxMV/jnKkyuU+L38ucp9SKrr7sPQqXIdAGCGmwgDXmuNebFZeC5v2KxPbboOixYtwrZt21BVVcV1FPI3VPiIQRCXVb7Y/koFzY0F2DCuDwBgT5oYpSoWPhMjAcRllY3OaAhUuQ49rFtgsZc9Np/OR+5vDT/ZXJuuQ69eveDm5obIyEiuo5C/ocJHDIJUrnyx52M92pgZ4+BMVwx4rQ0OXLmP8JO3VO+EB9ZnKuobVa7DyNfbQyjgw8W2LfZOG4BBdpYAgOG9rLHYS4V1cVp2HUJDQ7Fx40bIZNoxCiVU+IiBMDbio74tWjq2MsXh/wyEY6dW2HH+Dj49ltOwTpg/+yGvpMp14AHg83kYZt8Ob/e0RodWpgCALm2ao3+X1vV3omXXwcXFBSKRCLGxsVxHIX+iBezEIEiqZRiw+jRkilf/dc9Y8jZsLEzw8GkVTuX+94y+uKwiZD+sf4q8UMBD5rIRWn10DtdUuQ7/a6N/H/g7dUZkuhgrjufW+3ptvA7JyckICQnB9evXwedrT1E2VHQFiEGwMBWipUndPwhtLEwAAJ1aN0egm6j2f93bqXaiu4WpUKt+2GojVa4DG31o23Xw9PSEUChEYmIi11EIaMRHDMiCQ1mIy3qk0lT6hhLweXjXsQM2TejLetv6xlCvQ2xsLLZt21a7UTrhDo34iMGY4S6C0Eg9J2MbC3gIdOd+g2RdYKjXYdy4cSguLqbCpwWo8BGD0buDBeytzcFn+Wcunwf0sDbXuhPBtZWhXgcjIyMsWrQI4eHhXEcxeFT4iEEJf9cBjELOapvGRnxsmdiP1Tb13eYJfVmfeakL12HatGn4+eefcf36da6jGDQqfMRgSCQSBL83Fl2eXIOJkJ2/+qZCAUK9emrFUTi6xNaqBUK9esJUqNqmAvXRletgYmKCefPmYf369VxHMWhU+IhBKCkpwdChQ/H666/j3M7PEOD6WpN/6JoKBQgY2FUrDj/VRdPdRJjq2rXJ16GZADp1HWbPno2kpCSIxdqxmbYhosJH9F5hYSHc3NwwZswYbNu2DQKBAJ/69MJiL3uYCPkN/q6Jz3tx6OliL3ssHdlLPaENxN+vA5QN25OTzwOEfAbVGT9ghlNbNSVkn4WFBWbNmoVNmzZxHcVg0XIGoteys7Ph4+OD5cuXIzg4+F9/XlhagfmHspBfUg6pgoGijkPiBHwejAU89LA2x5aJ/bT+sZouiTpyAqvOPoDQqitkDbwOezavwaVLl3Dq1CkYGRlpMHXjFRcXw8HBAbdu3UK7du24jmNwqPARvXXx4kX4+/tjx44dGD9+fJ2vvflIgsg0MVIKSiGplr3YSJkHgAFq5ApYmArh0d0Kge4irZ01qMuGDBmC4OBg9PHwafB1UCgU8Pb2Rv/+/bFu3TpuP0gDBAcHo23btli1ahXXUQwOFT6il+Li4jBz5kwcOHAAw4cPb9B7JdUyiMsqIZUrYWzEh8jSTOt2AtEn6enpmDp1KvLz8/8xYmvIdSgrK4OTkxO++uorjBs3TlPRm+Tu3btwcXFBYWEhWrZsyXUcg0KFj+idyMhILFu2DAkJCRgwYADXcUg9fH19MXLkyJc+im6Iq1evwsfHB6mpqejZsydL6dRr8uTJcHJywsKFC7mOYlCo8BG9wTAMNmzYgIiICCQnJ6NHjx5cRyL1uHHjBoYPHw6xWAxTU9Mmt7d7925s3rwZV65cQYsWLVhIqF5ZWVkYNWoUCgsL0axZM67jGAya1Un0glKpxKJFixAdHY20tDQqejpi/fr1+OSTT1gpegAQFBSEgQMHYsaMGdCF3+n79u2LPn36ICYmhusoBoVGfETnyWQyBAUF4c6dO0hISECbNm24jkRUcO/ePfTv3x93795Fq1atWGu3uroa7u7ueP/99zF//nzW2lWXlJQUzJw5E3l5eRAI2FnQT+pGIz6i06qqqjBmzBg8fvwYp0+fpqKnQzZt2oSgoCBWix4AmJqa4scff0R4eDguXrzIatvqMGTIELRt2xbHjh3jOorBoBEf0VlPnz7F6NGjYWdnh71790IopJmXuqK0tBT29va4efMm2rdvr5Y+Tp48icDAQGRmZqJDhw5q6YMtcXFxWLlyJa5evQoeTz0nV5D/ohEf0UlFRUUYMmQIXF1d8d1331HR0zHbtm3D+PHj1Vb0AMDb2xvBwcEYP348pFKp2vphwzvvvIOqqiqcPXuW6ygGgUZ8ROfk5+fDy8sLwcHBWLRoEf2GrGMqKiogEolw6dIldOvWTa19KZVK+Pr6ws7ODlu3blVrX021b98+xMTE4MyZM1xH0Xs04iM6JTMzEx4eHggLC8PixYup6Omg3bt346233lJ70QMAPp+PmJgYHD9+HAcOHFB7f00xefJk5Ofn4+rVq1xH0Xs04iM64+zZs5g8eTJ2794NPz8/ruOQRpBKpbCzs0NcXBz69++vsX6zs7MxfPhwnDt3Dm+88YbG+m2orVu3IjU1FUeOHOE6il6jER/RCYcPH8bkyZNx5MgRKno6bP/+/XBwcNBo0QMAR0dHbNq0CWPHjoVEItFo3w0RFBSEixcv4vbt21xH0Ws04iNaLyIiAqtWrUJiYiIcHR25jkMaSalUwsHBARERERg2bBgnGebMmYOioiIcPXoUfL52/t7/5Zdf4sGDB9izZw/XUfQWFT6itRiGwcqVKxEdHY1Tp07B1taW60ikCY4dO4bw8HBkZGRw9t2sVCqFh4cHfH19sXTpUk4y1Ofx48fo3r07cnJy0LFjR67j6CUqfEQrKZVKzJ07F+np6UhKSoKNjQ3XkUgTMAwDV1dXLFmyBGPGjOE0y8OHD+Hs7Izo6GiMGDGC0yyvMn/+fAgEAmzcuJHrKHqJCh/ROlKpFAEBASguLkZcXBwsLOj8O113/vx5BAcHIzc3VyseMZ4/fx6TJ0/GlStX0KVLF67j/MuDBw/g6OiIO3fu0G5EasD930BC/qaiogKjR4/G8+fPcfLkSSp6eiI8PByhoaFaUfQAYNiwYQgJCcG4ceNQU1PDdZx/6dy5M/z8/PDNN99wHUUv0YiPaI2ysjL4+PjA0dERERER/ziUlOiua9euwc/PD3fv3oWxsTHXcWoxDAN/f39YWlpi165dXMf5l7y8PAwdOhRisRjNmzfnOo5e0Y5fv4jBu3//Ptzd3TFixAh8++23VPT0yLp167BgwQKtKnoAwOPxEBUVhZSUFERGRnId51969eqFQYMGaWU2XUcjPsK53NxceHt7Y8GCBZg3bx7XcQiLCgoKMGjQIIjFYq09GDY3NxceHh5ITk7W+PrC+mRkZGDSpEkoKCig/WhZRCM+wqlLly7hrbfewtq1a6no6aGNGzfiww8/1NqiBwAODg7YsWMHxo0bh8ePH3Md5x9cXV0hEokQGxvLdRS9QiM+wpmkpCRMmzYN+/btw8iRI7mOQ1j222+/oXfv3sjPz4elpSXXceoVEhKCmzdv4sSJE1p1IGxycjJCQkJw/fp1rZkcpOvovyLhxP79+zF9+nTExcVR0dNTW7ZswdSpU3Wi6AEvZp5WV1djxYoVXEf5B09PTwiFQiQmJnIdRW/QiI9o3NatW7Fp0yYkJSWhd+/eXMchavDHH3/Azs4O165dQ9euXbmOo7Li4mIMGDAAO3fuxOjRo7mOUys2Nhbbtm1DWloa11H0Ao34iMYwDINly5YhIiICaWlpVPT0WEREBEaPHq1TRQ8AbGxsEBsbi8DAQNy9e5frOLXGjRuH4uJiKnwsoREf0Qi5XI7g4GBkZ2cjMTFRZx5/kYarrq6GSCTC2bNndfaXm23btmHv3r346aeftGYN3a5du5CQkIDjx49zHUXnUeEjaldTU4MpU6agoqICR48e1eoZfpogqZZBXFYJqVwJYyM+RJZmsDDVranqdX2GiIgInDx5EnFxcRynbDyGYfD+++9DIBBg3759WnHgcU1NDUQiEZKTk9GnTx+u4+g0KnxErSQSCfz8/GBjY4N9+/ahWbNmXEfixM1HEuxNEyMlvxTPamQwMRIAPAAMUCNXoKWJEB49rDDDXYTeHbRzmzZVPsPg7paIWzcXB3asx8CBA7mO3CSVlZVwdXXFhx9+iODgYK7jAHixGUBOTg6+//57rqPoNCp8RG1KSkrg7e0NNzc3bN26VaumiGtKYWkF5sVmIf/3csjkDBR13G4CHg9CIx7src2xeUJf2Fppx8i4IZ+BBwZQyNGnq6VWfYbGKigogJubG+Lj4+Hq6sp1HEgkEtja2iIzMxMikYjrODqLCh9Ri8LCQnh6eiIgIABhYWFa8ahI06LSxViXfAtSuRLKBtxlfB5gbMRHqFdPTHfj9oebPnyGpoqLi8NHH32En3/+Ge3ateM6DpYuXYry8nJs376d6yg6iwofYV12djZ8fHywfPlyrXlEpGlrEvMQk3EP1TJFo9swFQow1bUrPvXpxWIy1enDZ2DLsmXLcOnSJZw6dYrzfWSLi4vh4OCAW7duaUUh1kW0nIGw6uLFixgxYgS2bNlisEUvKl3c5IIBANUyBWIy7iEqXcxSMtXpw2dg04oVKyAQCLBs2TKuo8DGxgYTJ07E119/zXUUnUUjPsKauLg4zJw5EwcOHMDw4cO5jsOJwtIK+GxLRY1MyVqbJkI+kuYOgcjSjLU266IPn0EdysrK4OTkhK+++grjxo3jNMvdu3fh4uKCwsJCtGzZktMsuohGfIQVkZGRmD17NhITEw226AHA/ENZkMrZKxgAIJUrMS/2F1bbrIs+fAZ1sLS0xJEjRzB79mzcunWL0yx2dna1R3iRhqNDz0iTMAyDDRs2ICIiAikpKejRowfXkThz45EEt0vK650E0q1dCyzx7on+XVrD2IiPn+6U4cvjuSj6o/qlr1cyQH5JOW4+kqh9qYOqnwEAvBys8eGwbrC3NodUocTt4nLM2HcVz2rk/3qtJj+DOjk7O2PNmjUYO3Ysrly5wuma1NDQUIwaNQoff/yxwS4Taiwa8ZFGUyqVWLRoEaKjo5GWlmbQRQ8AItPEkMnrrhgtTYzwfaALhveyxrX7T5FaUArP3jaInOaMuia+ShUMItPU/z2ZKp8BAHwdO2DX1AHoaW2O07klSMz5DS2aGcHU+NVLVjT1GdQtKCgIAwcOxIwZM8DlN0V9+/ZFnz59EBMTw1kGXUUjPtIoMpkMQUFBuHPnDi5evIg2bdpwHYlzKfmlda5xAwCnrm1gY2GCB0+qEBSdCQBI/NgdDh0s4OVgg5M3i1/6PoWSQUpBKeuZ/5cqnwEAQr17AgCmRV1BhviJSm1r6jOoG4/Hw/bt2+Hu7o4tW7Zg/vz5nGVZsmQJZs6cienTpxvkOtnGohEfabCqqiqMGTMGjx8/xunTp6no4cUWXs9qZPW+7rn8xSzJVs2F6NzaFDYtTdCupQkAoFf7uicpSKplkFTX30djqfoZRJZm6NjKFNVSBf7jYYebX3jhwsKhmOpa/4bU6v4MmmJqaooff/wR4eHhuHjxImc5hgwZgrZt2+LYsWOcZdBFVPhIgzx9+hQjRoxAmzZtcOzYMa3ZwJdr4rLKF1t41eOy+Amu/voE5iZCpC5+CxlL34Zlixffz1iZ1/09jYmRAOKySlbyvoyqn6F1c2MAgKmxAF1aN8eJnN9g09IEK/1eh6eDdZ3vVfdn0KTXXnsN+/btw6RJk/Do0SNOMvB4PCxZsgTh4eGcPnbVNVT4iMqKioowZMgQuLq64rvvvoNQqFsbK6uTVK58sW9lPRRKBpN3Z+CT2F+w/fwdfHosB/+XVQQAeFIprfvNPLA+2/LvVP0MTyqf1/7/+YezsPjH6ziU+QAAMLxX3YVP3Z9B07y9vREcHIzx48dDKq3n+qnJO++8g6qqKpw9e5aT/nURFT6ikvz8fLi7u2Pq1KnYuHEj+Hz6q/N3xkZ8QMVfuHk8IC7rETaeuo2TN4sxuNuLI5rS75TV/Ubmz37URNXPUPRH9SsfiVZK/z2j8x/U/Bm4sGzZMrRu3RqLFi3ipH8+n4/Q0FCEh4dz0r8uosktpF6ZmZl45513sHr1agQGBnIdRyuJLM1QI1dtl5OYQBc8rZLiWbUcQ+2t0LZFM5y9VYJLhY/rfF+NXKHWBeCqfgaZgkFUuhifvN0DX43vi2v3n8LXsQPkCiXisup+5Kfuz8AFPp+PmJgYDBgwAC4uLpgyZYrGM0yePBlhYWG4evUqnJ2dNd6/rtGvX70I686ePQsfHx/s3LmTil4dLEyFaGmi2qPfvOJnGNC1Dcb27wi5kkHEhTv4cP81lfpQ57l9DfkMX5+7g28u3EFLEyOM7tMet0vKERSTiawHf9Tbh66dPaiK1q1b4+jRo/jkk0+Qk5Oj8f6NjY0REhKCdevWabxvXURblpFXOnz4MObMmYMjR45gyJAhXMfRegsOZeH/sooadIqBqgR8Ht517IBNE/qy3/jfLDiUhbisRyotaWgoTX0GLkVHR2PlypXIzMyEhYVmF+pXVlZCJBIhNTUV9vb2Gu1b19CIj7xUREQE5s2bh9OnT1PRU4FSqUSH8ltQytQzwcFYwEOgu/qP95nhLoLQSD1HSGnqM3ApICAAnp6emDZtGpRKzU7iMTMzw5w5c7BhwwaN9quLqPCRf2AYBitWrMCmTZuQmpoKR0dHriNpNYZhkJSUhP79++Pwt5shamMCPst1g88Deliba2Srr94dLGBvba7Tn4FrmzdvRklJCSePHT/66CMcPXoURUVFGu9bl1DhI7WUSiU+/vhjHDt2DGlpabC1teU6klbLyMjAsGHDsGDBAnz++efIyMjA3qDBrM9aNDbiY8vEfqy2WZfNE/rq/GfgkrGxMQ4fPoyvv/4aZ86c0Wjfbdu2xbRp07B582aN9qtrqPARAIBUKsWUKVNw48YNXLhwATY2NlxH0lq5ubkYM2YMxo8fj4CAAOTk5GDMmDHg8XiwtWqBUK+eMBWys32UqVCAUK+eGp0JqQ+fgWudOnXCgQMH8P777+P+/fsa7XvBggWIjIzEkyeqbSVniKjwEVRUVGD06NF4/vw5Tp48qfEv5XXF/fv3ERgYiKFDh8LNzQ35+fkIDAz814nc091EmOratcmFw1QoQMDArpjupvnvxfThM3Bt2LBhCAkJgb+/P54/f17/G1jSuXNn+Pn54ZtvvtFYn7qGZnUauLKyMvj4+MDR0RERERH/+iFOgMePH2PNmjX47rvvMHv2bCxatAitWrWq931R6WKsS74FqVzZoJmefN6LR4OhXj05Lxj68Bm4xDAM/P39YWVlhZ07d2qs37y8PAwdOhRisZi2FXwJGvEZsPv378Pd3b32QEsqev9UUVGBVatWwd7eHtXV1bhx4wZWr16tUtEDXoyaEj8ejDc6WsBUyIegnhkjAj4PpkI+3uhogaS5Q7SiYOjDZ+ASj8dDVFQULly4gKioKI3126tXLwwaNAiRkZEa61OX0IjPQOXm5sLb2xsLFizAvHnzuI6jVaRSKXbv3o1Vq1Zh6NChWLlyJbp169akNm8+kiAyTYyUglJIqmUvNoPmAWBe7GZiYSqER3crBLqLtHbmoz58Bq7k5ubCw8MDycnJ6N+/v0b6zMjIwKRJk1BQUED76v4PKnwG6NKlSxgzZgw2bdqE9957j+s4WkOpVOKHH35AWFgYunfvjrVr16JfP/ZnIkqqZRCXVUIqV8LYiA+RpZnO7WaiD59B0w4dOoQlS5YgMzNTY0d5DRs2DDNmzMD777+vkf50BRU+A5OUlIRp06Zh3759GDlyJNdxtALDMDh58iSWLl2KZs2aITw8HMOGDeM6FtFDISEhyM3NxYkTJzSy0XtycjJCQkJw/fp12lj+b+i/hAHZv38/pk+fjri4OCp6f3rZWjwqekRdwsPDUVVVhRUrVmikP09PTwiFQiQmJmqkP11Bhc9AbN26FUuXLsXZs2cxcOBAruNwLi8vD2PGjMGECRP+tRaPEHURCoWIjY3Fnj17cOLECbX39/eDasl/UeHTcwzDYNmyZYiIiEBaWhp69+7NdSROPXjwAIGBgfDw8ICbmxtu37790rV4hKiLjY0NYmNjERgYiMLCQrX3N27cOBQXFyMtLU3tfekKKnx6TC6XY9asWTh9+jTS0tLQpUsXriNx5vHjx1i4cCH69u2L9u3bIz8/HwsXLoSpqSnX0YgBcnNzw/LlyzF27FhUVVWptS8jIyMsWrSIRn1/Q4VPT9XU1GDChAm4d+8ezp07B0tLS64jcaKyshKrV6+Gvb09qqqqGrwWjxB1+eijj9C7d28EBwdD3XMMp02bhp9//hnXr19Xaz+6ggqfHpJIJPD29oaxsTESEhLQokULriNpnFQqxTfffIPu3bvjxo0byMjIwDfffIP27dtzHY0QAC++f/v2229x7do17Nq1S619mZiYYN68eVi/fr1a+9EVtJxBz5SUlMDb2xtubm7YunUrBAJ2NhrWFUqlErGxsQgLC0O3bt3UthaPELYUFBTAzc0NCQkJcHFxUVs/EokEtra2yMzMhEhk4DvqUOHTH4WFhfD09ERAQADCwsIMaoYiwzBITk7G0qVLYWxsTGvxiE6Ji4vDxx9/jMzMTLRr105t/SxduhTl5eXYvn272vrQBVT49ER2djZ8fHywfPlyBAcHcx1HozIyMrBkyRKUlJRgzZo1ePfddw2q6BP9sGzZMly6dAmnTp1S2yzj4uJiODg44NatW2otsNqOvuPTAxcvXsSIESOwZcsWgyp6tBaP6JMVK1ZAIBBg+fLlauvDxsYGEydOxNdff622PnQBjfh0XFxcHGbOnIkDBw5g+PDhXMfRiAcPHuDzzz/H8ePHsXjxYsyZM4eWJRC9UFZWBicnJ2zevBljx45VSx93796Fi4sLCgsL0bJlS7X0oe1oxKfDIiMjMXv2bCQmJhpE0aO1eETfWVpa4siRI5g9ezZu376tlj7s7OxqjyIzVFT4dBDDMFi/fj1WrlyJlJQUDBgwgOtIakVr8YghcXZ2xurVqzF27FhUVFSopY/Q0FBs3rxZoyfDaxMqfDpGqVRi0aJFiI6ORlpaGnr06MF1JLWhtXjEUAUFBcHV1RVBQUFqWdzet29f9OnTBzExMay3rQvoOz4dIpPJEBQUhDt37iAhIUFjZ3ppGq3FIwSorq6Gu7s7pk6dqpbDolNSUjBz5kzk5eUZ3Hpf2plXR1RVVWHChAkAgNOnT6N58+YcJ2Lf/67F2717N63FIwbL1NQUP/74I1xcXODk5ITBgwez2v6QIUPQtm1bHDt2DP7+/qy2re1oxKcDnj59itGjR8POzg579+6FUKh/J13TWjxCXu7kyZOYMWMGMjMzWX/MHxcXh5UrV+Lq1asGdb/Rd3xarqioCEOGDIGrqyu+++47vSt6tBaPkLp5e3tj9uzZGD9+PGQyGattv/POO6iqqsLZs2dZbVfbUeHTYvn5+bXP+Ddu3Ag+X38uF52LR4jqli1bhlatWmHRokWstsvn8xEaGmpwRxbpz09SPZOZmQkPDw+EhYVh8eLFejMCorV4hDQcn89HTEwMEhIScPDgQVbbnjx5MvLz83H16lVW29VmVPi00NmzZ+Hj44OdO3ciMDCQ6zisoLV4hDRN69atcfToUcydOxc3btxgrV1jY2OEhIRg3bp1rLWp7ajwaZnDhw9j8uTJOHLkCPz8/LiO02S0Fo8Q9jg6OmLTpk0YO3YsJBIJa+0GBQXh4sWLatstRtvQrE4tEhERgVWrViExMRGOjo5cx2kSWotHiPrMmTMHRUVFOHr0KGvf/X/55Zd48OAB9uzZw0p72owKnxZgGAYrV65EdHQ0Tp06BVtbW64jNRqdi0eI+kmlUnh4eMDPzw9Llixhpc3Hjx+je/fuyMnJQceOHVlpU1tR4eOYUqnE3LlzkZ6ejqSkJNjY2HAdqdFoLZ72kFTLIC6rhFSuhLERHyJLM1iY6tdSGEP38OFDODs7IyYmhrVN6ufPnw+BQICNGzey0p62osLHIalUioCAABQXFyMuLg4WFhZcR2qUvLw8fPrpp/j555/xxRdfICAggJYlcODmIwn2pomRkl+KZzUymBgJAB4ABqiRK9DSRAiPHlaY4S5C7w66+XeN/NP58+cxefJkXLlyBV26dGlyew8ePICjoyPu3Lmjt1siAlT4OFNRUYGxY8fCzMwMBw8ehImJCdeRGozOxdMOhaUVmBebhfzfyyGTM1DUcUsLeDwIjXiwtzbH5gl9YWvVQoNJiTps2LABhw8fRmpqKpo1a9bk9qZPnw47Ozu1HojLNSp8HCgrK4OPjw8cHR0RERGhc6Ojx48fY+3atYiKisLs2bOxaNEiWpbAkah0MdYl34JUroSyAXcynwcYG/ER6tUT091E6gtI1I5hGPj7+8PKygo7d+5scnt5eXkYOnQoxGKxXu4JDNByBo27f/8+3N3daw+C1KWiR2vxtMuaxDysT76NGlnDih4AKBmgRqbE+uTbWJOYp56ARCN4PB6ioqJw4cIFREVFNbm9Xr16YdCgQYiMjGQhnXaiwqdBubm5cHd3x+zZs7F69WqdmfhBa/G0T1S6GDEZ91AtUzSpnWqZAjEZ9xCVLmYpGeFCy5YtcfToUSxevBjXrl1rcnuhoaHYuHEj63uDagsqfBpy6dIlvPXWW1i7dq1aztZSB6VSiYMHD8LBwQHx8fE4ceIEDh48iG7dunEdzaAVllZgXfKtJhe9v1TLFFiXfAviskpW2iPccHBwwI4dO+Dv748nT540qS1XV1eIRCLExsaylE670Hd8GpCUlIRp06Zh3759GDlyJNdx6kVr8bSb34405BRJGvx4sy58HvBGRwvEzXFnr1HCiZCQEOTm5uLEiRNNWtyenJyMkJAQXL9+Xa82yAdoxKd2+/fvx/Tp0xEXF6cTRS8jIwPDhg3D/Pnz8dlnn9X+M9EONx5JcLukvM6it2m8IzKWvI3bK71xbfkI7JvujN7tW9bZrpIB8kvKcfMRe9tgEW6Eh4ejqqoKK1asaFI7np6eEAqFSExMZCmZ9qDCp0Zbt27F0qVLcfbsWQwcOJDrOHWic/F0Q2SaGDJ53UO9jq1McVn8GIczH+JplRQePdph11SnetuWKhhEptF3fbpOKBQiNjYWe/bswYkTJxrdDo/Hw5IlS/TyyCIqfGrAMAyWLVuGiIgIpKWloXfv3lxHeiU6F0+3pOSX1rlODwAm7c7AJ7FZWB53A3N/+AUA0N7CFEb8un+JUSgZpBSUspaVcMfGxgaxsbEIDAxEYWFho9sZN24ciouLkZaWxmI67lHhY5lcLsesWbNw+vRppKWlsbKbgjrQuXi6R1Itw7Ma1WbZBQzsipV+r+PrSS82Bt+dWgi5Cl8KSqplkFTr50w+Q+Pm5obly5dj7NixqKqqalQbRkZGWLRokd6N+qjwsaimpgYTJkzAvXv3cO7cOVhaWnId6V9oLZ7uEpdVvtiGTAU+r7fHVNeusLNqgUd/VOPne09Vep+JkYBmd+qRjz76CL1790ZwcDAaO49x2rRp+Pnnn3H9+nWW03GHCh9LJBIJvL29YWxsjISEBLRooV1bQdFaPN0nlStf7L2pgkm7M2AfloSZ0ZmwbmmCb97rj46tVBjN8/7sh+gFHo+Hb7/9FteuXcOuXbsa1YaJiQnmzZuH9evXs5yOO1T4WFBSUoKhQ4fi9ddfx/79+1nZL48ttBZPfxgb8YF6fmlvZsTHX1/lPZcrkZJfikqpHEIBH13aqLD9FPNnP0RvmJmZ4ejRo/jss89w+fLlRrUxe/ZsJCUlQSzWj8lPNIOhiQoLC+Hp6YmAgACEhYVpzSzI/12Lt3v3blqWoONElmaokde9aL1f51bYOqkfroifQFItg/NrbdDSRIiyiue4UVT/UoUauQIiSzO2IhMt0b17d+zevRvjx49HZmYm2rVr16D3W1hYYNasWdi0aRO2b9+uppSaQwvYmyA7Oxs+Pj5Yvnw5goODuY5Ti87F019Oq07jcaX0lX8usjTD2jFvwN7GHGbGRnhSKUXmvSf4+lwB8ksq6m3fXAhcWfoWTXLSU8uWLcOlS5dw6tSpBs/cLi4uhoODA27dutXgwqltqPA10sWLF+Hv748dO3Zg/PjxXMcBQOfiGYIFh7IQl/Wo3iUNjcGDEs1/v4mHR9birbfegq+vL0aPHg0rKyvW+yLcUCgU8Pb2hpOTU6NmagYHB6Nt27ZYtWqVGtJpDj3Mb4S4uDj4+/vjwIEDWlH0aC2e4ZjhLoLQSD2jdxOhEQ6tDEZhYSHGjh2LxMREdO/eHe7u7li/fj1u3brV6JmBRDsIBAIcPHgQBw8exNGjRxv8/oULF2Lnzp149uyZGtJpDhW+BoqMjMTs2bORmJiI4cOHc5qF1uIZnt4dLGBvbY561qI3GJ8H9LA2R+8OFmjbti2mTp2Kw4cPo6SkBGFhYbh37x5GjBgBe3t7LFy4EBcvXoRcLmc3BNEIS0tLHDlyBLNnz8bt27cb9F47O7vaI9V0GT3qVBHDMNiwYQMiIiKQnJyMHj16cJalsrISW7ZswebNmzFhwgSEhYXRsgQDUlhaAZ9tqaiRsbfswETIR9LcIXVObGEYBllZWYiPj0d8fDzu3bsHHx8f+Pr6wsvLC+bm5qzlIeq3e/dubNmyBZcvX27Q8qusrCyMGjUKhYWFWjWDvSGo8KlAqVRi8eLFOHnyJJKTk9GxY0dOckilUuzZswerVq2Ch4cHVq5cScsSDFRUuhjrk2+zcjSRqVCAxV72DT6J/cGDBzh+/Dji4+ORnp6OQYMGwdfXF++88w46d+7c5FxEvRiGQVBQECorK3Hw4MEGTYAbOXIkxo0bh6CgIDUmVB8qfPWQyWQICgrCnTt3kJCQgDZt2mg8g1KpRGxsLMLCwtCtWzesXbsW/fr103gOol3WJOY1+TBaU6EAAQO7YunIXk3KUl5ejlOnTtWuFe3SpQt8fX3h6+uLfv360axiLVVdXQ13d3dMnTq1QeeEpqSkYObMmcjLy4NAoNpuQtqECl8dqqqqMGHCBADAoUOH0Ly5CguAWUTn4pH6RKWLsS75FqRyZYPO5+PzXixUD/Xq2eCRXn3kcjkuXbqE+Ph4xMXFoaqqqrYIDhs2TGcfj+mrX3/9FS4uLjhy5AgGDx6s0nsYhsGgQYMQEhICf39/NSdkHxW+V3j69ClGjx4NOzs77N27F0KhUKP901o8oqrC0grMP5SF/JJySBUMFHVUQAGfB2MBDz2szbFlYj+NLFa/fft27feCOTk5GD58OHx9feHj46OV+9kaopMnT2LGjBnIzMxUeb5AXFwcVq5ciatXr+rczyYqfC9RVFQEb29veHp6YsOGDRo9fZjW4pHGuvlIgsg0MVIKSiGplr3Y0JoHgHmxI4uFqRAe3a0Q6C5C7w4WnGQsLS3FiRMnEB8fj7Nnz8LR0bF2NMjlhDECrFy5EsnJyTh//rxKv+grlUq8/vrr+Prrrzmf4d5QVPj+R35+Pry8vBAcHIxFixZp7DeZBw8e4PPPP8fx48exePFizJkzh5YlkEaTVMsgLquEVK6EsREfIkszWJhq9qlFfWpqanDu3DnEx8cjISEB5ubmtUVw4MCBOvndkS5TKpXw9fVFt27dsGXLFpXes2/fPsTExODMmTPqDcc2htS6evUqY2Njw+zdu1djfZaVlTEhISFMmzZtmE8//ZR5+vSpxvomRFsoFArm6tWrTFhYGOPo6MhYWloy06ZNY3788UemvLyc63gG48mTJ4ytrS1z4MABlV7//PlzpnPnzsyVK1fUnIxdVPj+dObMGcbKyor5v//7P430V1FRwaxatYpp27YtExwczDx69Egj/RKiC3799Vdm27ZtzIgRIxhzc3Nm5MiRTEREBPPw4UOuo+m9rKwsxtLSksnJyVHp9Vu2bGHGjRun5lTsosLHMMyhQ4cYKysrJiUlRe19PX/+nNmxYwfTvn17ZtKkSUxBQYHa+yREl/3xxx9MbGws89577zFt2rRhnJycmC+//JL55ZdfGKVSyXU8vbRv3z6me/fuzB9//FHvaysqKhgrKyvm1q1bGkjGDoP/ji8iIgKrVq1CYmIiHB0d1dYPrcUjpOlkMhnS09Nrl0rIZLLa7wWHDh0KY2NjriPqjTlz5qCoqAhHjx6td4Lfl19+iQcPHmDPnj0aStc0Blv4GIbBypUrER0djVOnTsHW1lZt/dBaPELYxzAM8vLyapdK5ObmwtPTs3apBBebTegTqVQKDw8P+Pn5YcmSJXW+9vHjx+jevTtycnI429mqIQyy8CmVSsydOxfp6elISkqCjY2NWvqhtXiEaE5JSUntUolz586hf//+taNB2tqvcR4+fAhnZ2fExMTUu2Rh/vz5EAgE2Lhxo4bSNZ7BFT6pVIqAgAAUFxcjLi4OFhbsr2eitXiEcKu6uhpnz56tXSrRunVr+Pr6ws/PD2+++SYtlWiA8+fPY/Lkybhy5Qq6dOnyytc9ePAAjo6OuHPnjtaPtg2q8FVUVGDs2LEwMzPDwYMHYWJiwmr7tBaPEO2jVCqRmZlZ+0i0pKQEo0ePhq+vL4YPHw4zM/XvXqPrNmzYgMOHDyM1NbXOLeemT58OOzs7LF++XIPpGs5gCl9ZWRl8fHzg6OiIiIgIVkdgjx8/xtq1axEVFYXZs2dj0aJFaNWqFWvtE0LYIxaLkZCQgPj4eFy5cgUeHh61p83T8V4vxzAM/P39YWVlhZ07d77ydXl5eRg6dCjEYrHG9zZuCIM4iPb+/ftwd3evPUCRraJXWVmJ1atXw97eHlVVVbhx4wZWr15NRY8QLSYSiTB37lycOXMG9+/fx3vvvYfz58+jd+/ecHFxwerVq5GTk0Onzf8Nj8dDVFQULly4gKioqFe+rlevXhg0aBAiIyM1mK7h9H7El5ubC29vbyxYsKBBx27Uhc7FI0T/yGQypKam1i6VAFA7OWbIkCEa36heG+Xm5sLDwwPJycno37//S1+TkZGBSZMmoaCgQHv/m2l43aBG/fTTT4y1tTXz/fffs9KeQqFgDhw4wNjZ2TFeXl7MtWvXWGmXEKJdlEolk5OTw6xevZpxcXFhWrVqxUyaNIk5cOCAwW8rGBsby4hEIubx48evfM3QoUOZmJgYDaZqGL0d8SUlJWHatGnYt28fRo4c2aS2GFqLR4hB++2332qXSly4cAHOzs61p82raw2wNgsJCUFubi5OnDjx0sXtycnJCAkJwfXr1zV6uo2q9LLw7d+/HyEhITh27BgGDhzYpLZoLR4h5O+qqqpw5syZ2qUS7dq1q30k6uzsrJU/6Nkmk8kwfPhwDBs2DF988cW//pxhGPTv3x8rV67E6NGjNR+wPlwON9Vhy5YtTOfOnZkbN240qZ3c3Fzm3XffZTp37szs3buXkclkLCUkhOgLhULB/PTTT8ySJUsYBwcHxtramgkKCmLi4+OZyspKruOp1W+//cZ07NiROX78+Ev//IcffmDc3Nw0nEo1elP4lEol8+mnnzL29vbMvXv3Gt3O/fv3mcDAQMbKyorZsGEDU1VVxWJKQog+KygoYL766itm6NChjLm5OePr68vs2bOHKS4u5jqaWqSlpTHt2rVj7t69+68/k8lkjJ2dHZOamspBsrrpxaNOuVyO4OBgZGdnIzExEZaWlg1ug9biEULY9OTJEyQlJSE+Ph7Jycno1atX7SNRBwcHvfnKZNu2bdi7dy9++umnf63d27VrFxISEnD8+HGO0r2czhe+mpoaTJkyBRUVFTh69ChatGjRoPdXVlZiy5Yt2Lx5MyZMmICwsDBaxEoIYZVUKkVKSkrt7jFGRka1RdDd3V17p/2rgGEYvP/++zAyMsJ33333j4JeU1MDkUiE5ORk9OnTh8OU/6TThU8ikcDPzw82NjaIjo5u0JEkMpkMu3fvprV4hBCNYhgG169fry2Cd+/exciRI+Hr6wtvb2+17B+sbpWVlXB1dcWcOXMwe/bsf/zZunXrkJOTg++//56jdP+ms4WvpKQE3t7ecHd3x9atW1WeSUXn4hFCtElRURGOHz+O+Ph4pKamwsXFpXapxGuvvcZ1PJUVFBTAzc0NCQkJcHFxqf33EokEtra2yMzMhEgk4jDhf+lk4SssLISnpyemTZuG5cuXq/SsnKG1eIQQLVdRUYHTp08jPj4ex48fR4cOHWofiTo5OWn9Uom4uDh8/PHHyMzMRLt27Wr//dKlS1FeXo7t27dzmO6/dK7wZWdnw8fHB2FhYf8aUr9KRkYGli5diuLiYlqLRwjRCQqFAhkZGbWPRCUSCd555x34+vrirbfe0tqTX5YtW4ZLly7h1KlTtfsiFxcXw8HBAbdu3fpHQeSKThW+ixcvYvz48dixYwf8/f3rfX1eXh6WLVuGzMxMOhePEKLT8vPza0+VyMrKwltvvQVfX1+MGjVKK4rJXxQKBby9veHk5ITw8PDafx8cHIy2bdti1apVHKb7k8YXUDTS//3f/zFWVlbMmTNn6n0trcUjhOizsrIyJjo6mvH392csLCyYQYMGMeHh4Uxubi6jVCq5jseUlpYyXbp0YX788cfaf3fnzh2mbdu2jEQi4TDZCzox4ouMjMSyZctw/PhxODk5vfJ1tBaPEGJonj9/jgsXLtQ+EjUxMan9XtDNzY2zp1xXr17FqFGjkJqaCnt7ewDA5MmT4eTkhIULF3KS6S9aXfgYhsGGDRsQERGB5ORk9OjR46Wvo7V4hBDy4mdmVlZWbRH89ddf4ePjA19fX3h5eaFly5YazbN7925s2bIFly9fRosWLZCVlYVRo0ahsLCwzpPc1U0jhU9SLYO4rBJSuRLGRnyILM1gYVr3gk2lUonFixcjOTkZycnJ6NChw79eQ2vxCCHk1R48eFC7VCItLQ2DBg2qXSrRpUsXtffPMAyCgoJQWVmJgwcPgsfjYeTIkRg3bhyCgoJqX9eYGtEUait8Nx9JsDdNjJT8UjyrkcHESADwADBAjVyBliZCePSwwgx3EXp3+OeCTZlMhqCgINy9excJCQlo3br1P/6c1uIRQkjDlJeX49SpU4iPj8eJEyfQuXNn+Pr6ws/PD/369VPbTPfq6mq4u7tj6tSpmDdvHlJSUjBz5kz8eO4yon6616ga0VSsF77C0grMi81C/u/lkMkZKOpoXsDjQWjEg721OTZP6AtbqxaoqqrChAkTAACHDh36x95vDK3FI4SQJpPL5bh06VLtafNVVVW13wsOGzaM9ceQv/76K1xcXHDkyBF06NkX3l/8ALRqDyXDb3CNYAOrhS8qXYx1ybcglSuhbECrfB5gbMTHx4O74MAXs9CtWzfs2bPnH/vX0Vo8QghRj9u3b9d+L3j9+nWMGDECvr6+8PHxadSm/y9z8uRJzFy/H83dJkMqV4KB6j+//6oRoV49Md2t6bu/sFb41iTmISbjHqplisY3IpeiB68YJ8P/U7tDAa3FI4QQzSktLa09bf7s2bNwdHSsHQ2+aoKhKtYk5iEytQByCBrdhqlQgKmuXfGpT69GtwGwVPii0sVYn3y7aUXvT6ZCARZ72WN4FyN88cUXSEhIwOLFizFnzhyt3amAEEL0UU1NDc6dO1d72ry5uXltERw4cCAEAtWKmDpqRFNGfk0ufIWlFfDZlooambIpzfyDgFFAErsE/5kyhtbiEUKIFlAqlbh27VrtI9GioiKMGjUKvr6+8PT0fOWRcOqoESZCPpLmDoHI0qxR729y4fPbkYacIkmDvtOrF6NEL5sWSJpHE1cIIUQb3bt3r3YLtYyMDLi7u9culejYsWPt69RRI/g84I2OFoib496o9zep8N14JIH/zp/qrOTNjPhYOrIXRvdpjxbNjHCjSIJViXnIevBHnW2bCvk4MnsQ69NYCSGEsEsikSA5ORnx8fFISkqCSCSCr68vXh/sjU/PP66zRgS6vYbxTp3Rw9ocAj4PW87kY8vZgnr7bEqNaNIZF5FpYsjkddfNz0Y74INBr6Gs4jlO5Rajf5fWiAl8E62b1704UapgEJkmbko8QgghGmBhYYEJEybg+++/R3FxMTZu3Ig//vgDC749gernsjrf+3pHC0iqZfhNUt2gPptSI5o0PTIlv7TONRhtzYwx3qkzFEoG7+25jMeVUsiVDMb264RpA1+rs6orlAxSCkqbEo8QQoiGCYVCDB06FEOHDkXKqtN4XCmt8/ULDmUDAL593wmdWjev87V/15Qa0egRn6Rahmc1dVfyHtbmMDbi49Ef1bUfPuehBADg0L7+PeMk1TJIquvugxBCiPZRpUaw0UdjakSjC5+4rPLFFjN1sGxhDAColMpr/12V9MV0Vivz+ncGMDESQFxW2diIhBBCOKJKjWiqxtaIRj/qlMqVqG/hfVnFi1GemfF/uzFr9uI/RGn583r7+EPyB1wHueP5w5uNjUkIIYQDzTr1hpV/GAQm7Gwz9lK8P2tRAzW68Bkb8YF65oMW/F4OqVyJDq1MYdnCGGUVUvTp1AoAkFf8rN4+Wlm0QsJPaejbuVVjYxJCCOFA1oM/MHXvZZQ/l9f/4sZi/qxFDdTowieyNEONvO5V+GUVUhy59hBT3uyC/TNckV9SjlFvtEfFczn2XbpXbx81ckWjFygSQgjhjio1AgAmDugM59dao3fHF8sSPB2s0am1KU7lluBUbkmd721sjWh04bMwFaKlibDeGTtfJtyEXKHEqDfa47W21vjlwR9YnZiLJ/W8768+1HkmEyGEEPVQtUY4v9Ya/k6da//ZoYMFHDpY4OHT6noLX2NrRJMWsC84lIW4rEd1LmloLAGfh3cdO2DThL6st00IIUT9tLVGNGkB+wx3EYRG6jkayFjAQ6B704+fIIQQwg1trRFNKny9O1jA3tocfJY/F5/3Yg0gbVdGCCG6S1trRJMKHwBsntC3UbNq6mJsxMeWif1YbZMQQojmaWONaHIaW6sWCPXqCVMhOwsVTYUChHr1pNmchBCiB7SxRrBShqe7iTDVtWuTP5ipUICAgV1ZOVqeEEKIdtC2GsHKCex/iUoXY13yLUjlygadvcTnvRi6hnr1pKJHCCF6SltqBKuFD3hx2u78Q1nILymHVMFAUcenE/B5MBbw0MPaHFsm9qPHm4QQoue0oUawXvj+cvORBJFpYqQUlEJSLXuxWSkPAPNitb2FqRAe3a0Q6C6i2ZuEEGJguKwRait8fyeplkFcVgmpXAljIz5Elma0IwshhBAAmq8RGil8hBBCiLZgd3EFIYQQouWo8BFCCDEoVPgIIYQYFCp8hBBCDAoVPkIIIQbl/wGSBQRqSSR+PAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n=10\n", "T=nx.Graph()\n", "T.add_nodes_from(range(n))\n", "for i in range(1,n):\n", " T.add_edge(i,rn.randrange(i))\n", "nx.draw_planar(T, with_labels=True, width=1, font_weight='bold',font_color='white',font_size=12,node_size=600)\n", "nx.to_prufer_sequence(T)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Rajzolás " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- `draw(G, keywrds)`\n", "- `raw_circular(G, keywrds)` \n", "- `draw_planar(G, keywrds)` \n", "- `draw_random(G, keywrds)` \n", "- `draw_spectral(G, keywrds)` \n", "- `draw_spring(G, keywrds)` \n", "- `draw_shell(G, keywrds)` " ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(True, )\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.from_dict_of_lists(usa)\n", "print(nx.check_planarity(g))\n", "plt.figure(1,figsize=(12,12))\n", "nx.draw_planar(g, with_labels=True, width=1 ,font_weight='bold',font_color='white',font_size=12,node_size=500)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.erdos_renyi_graph(20, 0.3)\n", "color_map = []\n", "edge_map = []\n", "for edge in G.edges():\n", " if rn.randrange(2)%2==0:\n", " edge_map.append('blue')\n", " else: \n", " edge_map.append('green')\n", " \n", "for node in G:\n", " if rn.randrange(2)%2==0:\n", " color_map.append('blue')\n", " else: \n", " color_map.append('green') \n", "nx.draw(G, node_color=color_map,edge_color=edge_map, with_labels=True ,font_weight='bold',font_color='white',font_size=12,node_size=500)\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Ötödik lehetőség: gráf algoritmusok gráfok nélkül\n", "\n", "Sokszor nem éri meg külön felépíteni egy gráfot, végrehajthatjuk az algoritmust magán az adatokon. Példaképpen most készítünk egy labirintust mélységi bejárás segítségével. " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAJDCAYAAAAiieE0AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAV0klEQVR4nO3dX6hlZ3nH8d/Tmai0lhqToOkk/sPBmra01SG1eBNqS5NQEkFb4oVGUcaK0hZaaFRQ8CrtRQuiaIOGaCnREksdZUrwLyol1jHEaBLEUVoyMdZ0UqJBG5n06cXZyunpmZmT2U/27Bk/Hzictfd+z37frFmEL2v/WdXdAQBgOT9zuhcAAHA2EFUAAANEFQDAAFEFADBAVAEADBBVAAADloqqqnpqVX2iqr6x+H3uccY9WlV3LH4OLDMnAMA6qmW+p6qq/irJg919fVVdl+Tc7v6LbcY93N1PXmKdAABrbdmo+nqSy7r7/qq6MMlnu/t524wTVQDAWW3Z91Q9rbvvX2x/J8nTjjPuSVV1qKpuq6qXLjknAMDa2X2yAVX1ySRP3+aht26+0d1dVcc77fXM7r6vqp6T5NNV9dXu/uY2c+1Psj9Jfu5n64W/9NwnnPQ/AABgypfvfOQ/u/uCU/nblbz8t+Vvbkry8e6+5UTj9v3ak/pfb734lNcGAPBY7brw8Je7e9+p/O2yL/8dSHLtYvvaJB/dOqCqzq2qJy62z0/y4iR3LzkvAMBaWTaqrk/yu1X1jSS/s7idqtpXVe9bjHl+kkNV9ZUkn0lyfXeLKgDgrHLS91SdSHcfTfKSbe4/lOR1i+1/SfKry8wDALDufKM6AMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwYCSqquryqvp6VR2uquu2efyJVfXhxeNfrKpnTcwLALAulo6qqtqV5N1JrkhySZJXVNUlW4a9Nsl/dfdzk/xNkr9cdl4AgHUycabq0iSHu/tb3f2jJB9KcvWWMVcn+cBi+5YkL6mqGpgbAGAtTETVniT3brp9ZHHftmO6+1iSh5KcNzA3AMBaWKs3qlfV/qo6VFWHHjj66OleDgDAjk1E1X1JLt50+6LFfduOqardSX4hydGtT9TdN3T3vu7ed8F5uwaWBgCwGhNR9aUke6vq2VX1hCTXJDmwZcyBJNcutl+e5NPd3QNzAwCshd3LPkF3H6uqNyW5NcmuJDd2911V9Y4kh7r7QJL3J/m7qjqc5MFshBcAwFlj6ahKku4+mOTglvvetmn7v5P8wcRcAADraK3eqA4AcKYSVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBiJqqq6vKq+XlWHq+q6bR5/dVU9UFV3LH5eNzEvAMC62L3sE1TVriTvTvK7SY4k+VJVHejuu7cM/XB3v2nZ+QAA1tHEmapLkxzu7m9194+SfCjJ1QPPCwBwxpiIqj1J7t10+8jivq1eVlV3VtUtVXXxwLwAAGtj6Zf/duhjSW7u7keq6vVJPpDkt7cOqqr9SfYnyTP2rGppsBq/94u/frqXAKNu/fYdp3sJsFYmzlTdl2TzmaeLFvf9RHcf7e5HFjffl+SF2z1Rd9/Q3fu6e98F5+0aWBoAwGpMRNWXkuytqmdX1ROSXJPkwOYBVXXhpptXJblnYF4AgLWx9Gts3X2sqt6U5NYku5Lc2N13VdU7khzq7gNJ/riqrkpyLMmDSV697LwAAOtk5I1L3X0wycEt971t0/abk7x5Yi4AgHXkG9UBAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABI1FVVTdW1Xer6mvHebyq6p1Vdbiq7qyqF0zMCwCwLqbOVN2U5PITPH5Fkr2Ln/1J3jM0LwDAWhiJqu7+XJIHTzDk6iQf7A23JXlKVV04MTcAwDpY1Xuq9iS5d9PtI4v7AADOCmv1RvWq2l9Vh6rq0ANHHz3dywEA2LFVRdV9SS7edPuixX3/R3ff0N37unvfBeftWtHSAACWt6qoOpDkVYtPAb4oyUPdff+K5gYAeNztnniSqro5yWVJzq+qI0nenuScJOnu9yY5mOTKJIeT/CDJaybmBQBYFyNR1d2vOMnjneSNE3MBAKyjtXqjOgDAmUpUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwYiaqqurGqvltVXzvO45dV1UNVdcfi520T8wIArIvdQ89zU5J3JfngCcZ8vrt/f2g+AIC1MnKmqrs/l+TBiecCADgTTZ2p2onfqqqvJPl2kj/v7rtWODecdrd++47TvQQAHkeriqrbkzyzux+uqiuT/FOSvVsHVdX+JPuT5Bl7Vtl7AADLWcmn/7r7e9398GL7YJJzqur8bcbd0N37unvfBeftWsXSAABGrCSqqurpVVWL7UsX8x5dxdwAAKsw8hpbVd2c5LIk51fVkSRvT3JOknT3e5O8PMkbqupYkh8muaa7e2JuAIB1MBJV3f2Kkzz+rmx85QIAwFnJN6oDAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADBBVAAADRBUAwABRBQAwQFQBAAwQVQAAA0QVAMAAUQUAMEBUAQAMEFUAAANEFQDAAFEFADBAVAEADFg6qqrq4qr6TFXdXVV3VdWfbDOmquqdVXW4qu6sqhcsOy8AwDrZPfAcx5L8WXffXlU/n+TLVfWJ7r5705grkuxd/PxmkvcsfgMAnBWWPlPV3fd39+2L7e8nuSfJni3Drk7ywd5wW5KnVNWFy84NALAuRt9TVVXPSvIbSb645aE9Se7ddPtI/n94AQCcscaiqqqenOQjSf60u793is+xv6oOVdWhB44+OrU0AIDH3UhUVdU52Qiqv+/uf9xmyH1JLt50+6LFff9Hd9/Q3fu6e98F5+2aWBoAwEpMfPqvkrw/yT3d/dfHGXYgyasWnwJ8UZKHuvv+ZecGAFgXE5/+e3GSVyb5alXdsbjvLUmekSTd/d4kB5NcmeRwkh8kec3AvAAAa2PpqOruLySpk4zpJG9cdi4AgHXlG9UBAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYICoAgAYIKoAAAaIKgCAAaIKAGCAqAIAGCCqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABS0dVVV1cVZ+pqrur6q6q+pNtxlxWVQ9V1R2Ln7ctOy8AwDrZPfAcx5L8WXffXlU/n+TLVfWJ7r57y7jPd/fvD8wHALB2lj5T1d33d/fti+3vJ7knyZ5lnxcA4Ewy+p6qqnpWkt9I8sVtHv6tqvpKVf1zVf3y5LwAAKfbxMt/SZKqenKSjyT50+7+3paHb0/yzO5+uKquTPJPSfZu8xz7k+xf3Hxk14WHvza1Pk7o/CT/eboX8VPCvl4N+3l17OvVsJ9X53mn+ofV3UvPXlXnJPl4klu7+693MP7fkuzr7uMeIFV1qLv3Lb04Tsq+Xh37ejXs59Wxr1fDfl6dZfb1xKf/Ksn7k9xzvKCqqqcvxqWqLl3Me3TZuQEA1sXEy38vTvLKJF+tqjsW970lyTOSpLvfm+TlSd5QVceS/DDJNT1xigwAYE0sHVXd/YUkdZIx70ryrsf41Dec8qJ4rOzr1bGvV8N+Xh37ejXs59U55X098p4qAICfdi5TAwAwYG2iqqqeWlWfqKpvLH6fe5xxj2663M2BVa/zTFZVl1fV16vqcFVdt83jT6yqDy8e/+Lie8d4jHawn19dVQ9sOo5fdzrWeaarqhur6rtVte1Xr9SGdy7+He6sqheseo1nix3sa5ciG7DDy745rgc8XpfYW5uoSnJdkk91994kn1rc3s4Pu/vXFz9XrW55Z7aq2pXk3UmuSHJJkldU1SVbhr02yX9193OT/E2Sv1ztKs98O9zPSfLhTcfx+1a6yLPHTUkuP8HjV2Tj+/D2ZuP7796zgjWdrW7Kifd1snEpsh8f0+9YwZrORj++7NslSV6U5I3b/P/DcT1jJ/s6eYzH9TpF1dVJPrDY/kCSl56+pZyVLk1yuLu/1d0/SvKhbOzzzTb/G9yS5CU//ioMdmwn+5kB3f25JA+eYMjVST7YG25L8pSqunA1qzu77GBfM2CHl31zXA94vC6xt05R9bTuvn+x/Z0kTzvOuCdV1aGquq2qXrqapZ0V9iS5d9PtI/n/B9BPxnT3sSQPJTlvJas7e+xkPyfJyxan7m+pqotXs7SfOjv9t2CGS5ENOsFl3xzXwyYvsTd2mZqdqKpPJnn6Ng+9dfON7u6qOt7HEp/Z3fdV1XOSfLqqvtrd35xeKzyOPpbk5u5+pKpen42zg799mtcEy9jRpcjYmZNc9o1BE5fY22ylZ6q6+3e6+1e2+flokv/48SnMxe/vHuc57lv8/laSz2ajLjm5+5JsPiNy0eK+bcdU1e4kvxDffP9YnXQ/d/fR7n5kcfN9SV64orX9tNnJMc+A7v5edz+82D6Y5JyqOv80L+uMtLjs20eS/H13/+M2QxzXQ062r0/luF6nl/8OJLl2sX1tko9uHVBV51bVExfb52fj29zvXtkKz2xfSrK3qp5dVU9Ick029vlmm/8NXp7k0775/jE76X7e8v6Hq7LxWj7zDiR51eLTUi9K8tCmtxgwqFyKbMRiH57wsm9xXI/Yyb4+leN6pS//ncT1Sf6hql6b5N+T/GGSVNW+JH/U3a9L8vwkf1tV/5ON/7jru1tU7UB3H6uqNyW5NcmuJDd2911V9Y4kh7r7QDYOsL+rqsPZeFPqNadvxWemHe7nP66qq7Lx6ZMHk7z6tC34DFZVNye5LMn5VXUkyduTnJP85PJYB5NcmeRwkh8kec3pWemZbwf72qXIZuzksm+O6xmPyyX2fKM6AMCAdXr5DwDgjCWqAAAGiCoAgAGiCgBggKgCABggqgAABogqAIABogoAYMD/AnWdjMg+CqNzAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# labirintus rajzoló. Egy 0/1/2 numpy tömböt vár. 0-semmi, 1-fal, 2-pozíció \n", "import matplotlib.pyplot as plt\n", "def printmaze(image):\n", " fig = plt.figure(figsize = (10,10)) \n", " ax = fig.add_subplot(111)\n", " ax.imshow(image)\n", " plt.show()\n", "printmaze(np.array([[1,1,1],[1,0,1],[1,1 ,1]])) " ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "#Labirintus\n", "def makemaze(w=16,h=8):\n", " maze=np.ones((2*w+1,2*h+1))\n", " vis=np.zeros((2*w+1,2*h+1))\n", " \n", " def walk(x, y):\n", " vis[x][y] = 1\n", " maze[x,y]=0\n", " \n", " d = [(x - 2, y), (x, y + 2), (x + 2, y), (x, y - 2)]\n", " rn.shuffle(d)\n", " \n", " for (xx, yy) in d:\n", " if (not xx in range(2*w+1)) or (not yy in range(2*h+1)) or vis[xx][yy]: \n", " continue\n", " if xx == x: \n", " maze[x][max(y, yy)-1] = 0\n", " if yy == y: \n", " maze[max(x, xx)-1][y] = 0\n", " walk(xx, yy)\n", "\n", " walk(2*rn.randrange(w)+1, 2*rn.randrange(h)+1)\n", " \n", " return maze\n" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "printmaze(makemaze(20,30))" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 5 }