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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1><center>Guide Notebook for the 380CT Assignment on TSP</center></h1>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_Kamal Bentahar_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://github.coventry.ac.uk/ab3735/380CT_2023_TSP-Guidance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```\n",
"DISCLAIMER:\n",
"\n",
"- This is only meant to help you get started.\n",
"- Be ware! Care is not taken into checking validity of paramters, etc. -- simplicity of code for understanding is favoured (mostly).\n",
"- There may be bugs! Please report them. Thanks.\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1) Notation and definitions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let $G$ be a [complete]( \"graph is undirected, has no self-loops, and each node is connected to all the other vertices\") [weighted]( \"the edges have a weight (a positive integer)\") graph with $n$ vertices."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Optimisation TSP**:\n",
"> Given $G$, find a cycle of minimal total cost.\n",
"\n",
"Here:\n",
"- A *cycle* is a path that visits every vertex once, and goes back to the start point.\n",
"- The *total cost of the cycle* is the sum of the edge weights of the cycle.\n",
"\n",
"This problem is **NP-Hard** because its decision version is **NP-complete** (Garey and Johnson, 1979, p. 211)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2) Testing methodology"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* **Exact method (Exhaustive search)**:\n",
" Average _time_ for instances with increasing $n$.\n",
"\n",
"* **Greedy and meta-heuristics**:\n",
" Average _time_ and _\"quality\"_ as $n$ increases.\n",
"\n",
"Instances will be generated randomly as shown in the next subsection."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1) Random instances sampling strategy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Four types of TSP instances will be generated by creating an **adjacency matrices** $M$ as follows:\n",
"1. **Asymmetric**: The edge weights are independent and uniformly random in an interval $[1,\\text{MAX\\_WEIGHT}]$, i.e the graph is assumed to be directed.\n",
"2. **Symmetric**: Like the asymmetric case but the graph is undirected, and the matrix is therefore symmetric: $M_{ij}=M_{ji}$.\n",
"3. **Euclidean**: Generate points using $(x,y)$ coordinates, then generate the adjacency matrix by calculating all the required distances. Recall that the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$. The points are generated in the rectangle defined by the points $(0,0)$ and $(\\text{MAX\\_Y},\\text{MAX\\_Y})$.\n",
"4. **Graphs with obvious shortest cycle**: A graph where all the distances are 2 except for the edges on a predefined cycle, where the distance is 1. Such a graph would be useful for testing/debugging the \"nearest neighbour greedy\" search."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implementation of the instances generation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First start by importing relevant libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from random import randint, shuffle # random integers and random shuffling of a list\n",
"from itertools import permutations # iterate over all possible permutations of a list\n",
"from itertools import chain # concatenate range()'s'\n",
"from math import inf as oo # Infinity (∞) is larger than any number\n",
"from math import sqrt, log, factorial # square root, logarithm, and n!\n",
"from time import perf_counter # for measuring time. NB. 'perf_counter' is better/more accurate than 'time'\n",
"import networkx as nx # to draw sample graphs\n",
"import pandas as pd # to show the adjacency matrix in a nice format\n",
"import matplotlib.pyplot as plt # to plot graphs of time and quality vs n\n",
"import seaborn as sns # nice statistical plots -- see e.g. https://seaborn.pydata.org/tutorial/relational.html#relational-tutorial\n",
"sns.set_style(\"white\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Basics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let the set of vertices be $\\{0, 1, 2,\\ldots, n-1\\}$.\n",
"\n",
"For simplicity, we will consider $0$ to be the start and end point of cycles."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class Graph:\n",
" ''' Random graphs '''\n",
" def __init__(self, n=0, type='asymmetric', MAX_WEIGHT=100, MAX_X=200, MAX_Y=200):\n",
" self.n = n\n",
" self.vertices = list(range(n)) # [0,1,...,n-1]\n",
" self.type = type\n",
" self.adj_matrix = [[oo for i in range(n)] for j in range(n)]\n",
" # Generate a random adjacency matrix according to the required type\n",
" if type=='symmetric': self.__random_symmetric_graph(n,MAX_WEIGHT)\n",
" elif type=='Euclidean': self.__random_euclidean_graph(n,MAX_X,MAX_Y)\n",
" elif type=='easy': self.__random_cycle_graph(n)\n",
" else: self.__random_asymmetric_graph(n,MAX_WEIGHT) # assume 'asymmetric' otherwise\n",
" \n",
" def __getitem__(self, i):\n",
" ''' Allow indexing to get the weights '''\n",
" return self.adj_matrix[i]\n",
" \n",
" def __random_asymmetric_graph(self,n, MAX_WEIGHT):\n",
" ''' Asymmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(n):\n",
" if i==j: continue # no self-loops\n",
" self.adj_matrix[i][j] = randint(1,MAX_WEIGHT)\n",
"\n",
" def __random_symmetric_graph(self,n,MAX_WEIGHT):\n",
" ''' Symmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(i+1,n):\n",
" w = randint(1,MAX_WEIGHT)\n",
" self.adj_matrix[i][j] = w\n",
" self.adj_matrix[j][i] = w\n",
"\n",
" def __random_cycle_graph(self,n):\n",
" ''' Symmetric adjacency matrix of size nxn with one reandomly chosen cycle\n",
" All the edge weights are 2 except for the cycle (weight=1) '''\n",
" self.adj_matrix = [[2 for _ in range(n)] for _ in range(n)] # All weights=2\n",
" # Select a random cycle which will have weight=1\n",
" cycle = list(range(1,n)) # don't include 0 as we want to be at the start\n",
" shuffle(cycle) # in-place random permutation\n",
" cycle = [0]+cycle+[0] # cycle starting and ending at 0\n",
" for a,b in zip(cycle, cycle[1:]): # set the cycle's weights to 1\n",
" self.adj_matrix[a][b] = 1\n",
" self.adj_matrix[b][a] = 1\n",
"\n",
" def __random_euclidean_graph(self,n,MAX_X,MAX_Y):\n",
" ''' Symmetric adjacency matrix of a Euclidean graph of size nxn '''\n",
" # (1/2) Generate random (x,y) points\n",
" points = set()\n",
" while len(points)<n: # We may get duplicate (x,y) so we try until we get enough points\n",
" x,y = randint(0,MAX_X), randint(0,MAX_Y)\n",
" points.add((x,y))\n",
" points = list(points) # Sets are not indexed, so convert into a list\n",
" # (2/2) Now compute the adjacency matrix\n",
" for i in range(n):\n",
" p1 = points[i]\n",
" for j in range(i+1,n):\n",
" p2 = points[j]\n",
" distance = sqrt((p1[0]-p2[0])**2+(p1[1]-p2[1])**2)\n",
" self.adj_matrix[i][j] = distance\n",
" self.adj_matrix[j][i] = distance\n",
" self.points=points"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def cost(G, cycle):\n",
" ''' Calculate the cost of the given cycle [0,...,0] in G '''\n",
" return sum(G[a][b] for a,b in zip(cycle, cycle[1:]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Functions to show the graphs as **adjacency matrices** or as a **drawing**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def show(G):\n",
" ''' Show adjacency matrix. Useful for debugging.\n",
" 'type' is a string from: Euclidean, Cycle, ...\n",
" The distances are round to 1 decimal point for clarity/simplicity\n",
" '''\n",
" print(f\"{G.n}x{G.n} {G.type} graph:\")\n",
" if G.type=='Euclidean': print(\"Points:\",G.points)\n",
" r = pd.DataFrame({str(i): G[i] for i in range(G.n)})\n",
" display(r)\n",
" \n",
"def nx_graph(G):\n",
" ''' Convert G into NetworkX format '''\n",
" nxG = nx.Graph() if G.type!='asymmetric' else nx.DiGraph() # undirected/directed graph\n",
" nxG.add_nodes_from(G.vertices) # Add the vertices\n",
" # Now add the edges\n",
" for a in G.vertices:\n",
" for b in G.vertices:\n",
" if a==b: continue # no self-loops\n",
" nxG.add_edge(a, b, weight=G[a][b]) \n",
" if G.type=='Euclidean': # add (x,y) coordinates if available\n",
" pos=dict(enumerate(G.points)) # vertex:(x,y) pairs\n",
" nx.set_node_attributes(nxG, pos, 'coord')\n",
" return nxG\n",
"\n",
"def draw(G):\n",
" ''' Draw the graph G using NetworkX '''\n",
" nxG = nx_graph(G)\n",
" weights_dictionary = nx.get_edge_attributes(nxG,'weight')\n",
" edges,weights = zip(*weights_dictionary.items())\n",
" pos = nx.circular_layout(nxG) if G.type!='Euclidean' else nx.get_node_attributes(nxG,'coord')\n",
" nx.draw(nxG, pos, \\\n",
" with_labels=True, node_color='red', font_color='white', font_weight='bold', font_size=14,\\\n",
" edge_color=weights, width=1.5, edge_cmap=plt.cm.copper)\n",
" # see https://matplotlib.org/stable/gallery/color/colormap_reference.html\n",
" nx.draw_networkx_edge_labels(nxG, pos, edge_labels=weights_dictionary, label_pos=0.5 if G.type!=\"asymmetric\" else 0.25)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Examples of the different graph types"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8x8 easy graph:\n"
]
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(8,'easy')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5x5 symmetric graph:\n"
]
},
{
"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>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>12.0</td>\n",
" <td>40.0</td>\n",
" <td>76.0</td>\n",
" <td>24.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>12.0</td>\n",
" <td>inf</td>\n",
" <td>2.0</td>\n",
" <td>31.0</td>\n",
" <td>95.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>40.0</td>\n",
" <td>2.0</td>\n",
" <td>inf</td>\n",
" <td>72.0</td>\n",
" <td>65.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>76.0</td>\n",
" <td>31.0</td>\n",
" <td>72.0</td>\n",
" <td>inf</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>24.0</td>\n",
" <td>95.0</td>\n",
" <td>65.0</td>\n",
" <td>2.0</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4\n",
"0 inf 12.0 40.0 76.0 24.0\n",
"1 12.0 inf 2.0 31.0 95.0\n",
"2 40.0 2.0 inf 72.0 65.0\n",
"3 76.0 31.0 72.0 inf 2.0\n",
"4 24.0 95.0 65.0 2.0 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(5,'symmetric')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3x3 Euclidean graph:\n",
"Points: [(199, 101), (145, 46), (52, 140)]\n"
]
},
{
"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>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>77.077883</td>\n",
" <td>152.085502</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>77.077883</td>\n",
" <td>inf</td>\n",
" <td>132.230859</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>152.085502</td>\n",
" <td>132.230859</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2\n",
"0 inf 77.077883 152.085502\n",
"1 77.077883 inf 132.230859\n",
"2 152.085502 132.230859 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(3,'Euclidean')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3x3 asymmetric graph:\n"
]
},
{
"data": {
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>3.0</td>\n",
" <td>71.0</td>\n",
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" <th>1</th>\n",
" <td>73.0</td>\n",
" <td>inf</td>\n",
" <td>17.0</td>\n",
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" <td>35.0</td>\n",
" <td>51.0</td>\n",
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"</div>"
],
"text/plain": [
" 0 1 2\n",
"0 inf 3.0 71.0\n",
"1 73.0 inf 17.0\n",
"2 35.0 51.0 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(3,'asymmetric')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3) Solution methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1) Exact method - Exhaustive search"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Idea"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The idea is to:\n",
"- Consider vertex $0$ as the start and end point.\n",
"- Iterate over all permutations of the vertices $\\{1,2,\\ldots, n-1\\}$.\n",
" - Calculate cost of each permutation and keep track of minimum cost permutation.\n",
"- Return the cycle with minimum cost.\n",
"\n",
"More formally, the pseudo-code is as follows:\n",
"\n",
"**Input**: $G$.\n",
"\n",
"**Output**: a cycle in $G$ of shortest cost."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Pseudocode"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. $bestcycle\\gets \\emptyset$\n",
"2. $bestcost\\gets \\infty$\n",
"3. **for all** possible cycles $p$ in $G$ (starting and ending at $0$) **do**\n",
"4. $\\quad$ $c\\gets$ cost of $p$\n",
"2. $\\quad$ **if** $c<bestcost$ **then**\n",
"3. $\\qquad$ $bestcycle\\gets p$\n",
"3. $\\qquad$ $bestcost\\gets c$\n",
"4. $\\quad$ **end if**\n",
"5. **end for**\n",
"6. **return** $bestcycle, bestcost$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Running time analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are $(n-1)!$ possible cycles, and each computation of a cycle's cost costs $O(n)$. So this algorithm costs $$O((n-1)!\\cdot n)=O(n!).$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implementation"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def exhaustive_search(G):\n",
" ''' Perform exhaustive search on G for the shortest TSP tour\n",
" Returns the best cycle and its cost (tuple) '''\n",
" best_cost = oo # infinity\n",
" best_cycle = []\n",
" for cycle in permutations(range(1,G.n)): # permutations of [1,2,...,n-1]\n",
" cycle=[0]+list(cycle)+[0] # add the starting city: 0\n",
" c = cost(G, cycle)\n",
" if c < best_cost:\n",
" best_cost = c\n",
" best_cycle = cycle\n",
" return (best_cycle, best_cost)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us check it works on a **cycle graph**:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8x8 easy graph:\n"
]
},
{
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G=Graph(8,'easy')\n",
"show(G)\n",
"draw(G)\n",
"exhaustive_search(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Testing exhaustive search time cost"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Test completely random graphs:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7, 8, 9, 10, 11, "
]
}
],
"source": [
"MAX_REPETITIONS = 5\n",
"MAX_n = 11\n",
"\n",
"exhaustive_data = pd.DataFrame(columns=['n', 'time'])\n",
"\n",
"i=0\n",
"for n in range(7,MAX_n+1):\n",
" print(n, end=', ')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" G = Graph(n)\n",
" # Time the search\n",
" t0 = perf_counter()\n",
" exhaustive_search(G)\n",
" t1 = perf_counter()\n",
" # Record the data\n",
" exhaustive_data.loc[i] = [n, t1-t0]\n",
" i += 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us compute some statistics on the the times that we have just measured."
]
},
{
"cell_type": "code",
"execution_count": 12,
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"4\" halign=\"left\">time</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.001390</td>\n",
" <td>0.002090</td>\n",
" <td>0.001809</td>\n",
" <td>0.000347</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.006382</td>\n",
" <td>0.020002</td>\n",
" <td>0.014094</td>\n",
" <td>0.004891</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.060288</td>\n",
" <td>0.084854</td>\n",
" <td>0.072518</td>\n",
" <td>0.010048</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>1.104993</td>\n",
" <td>1.188788</td>\n",
" <td>1.159427</td>\n",
" <td>0.033998</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11.0</th>\n",
" <td>5.851149</td>\n",
" <td>7.399030</td>\n",
" <td>6.325944</td>\n",
" <td>0.617343</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time \n",
" min max mean std\n",
"n \n",
"7.0 0.001390 0.002090 0.001809 0.000347\n",
"8.0 0.006382 0.020002 0.014094 0.004891\n",
"9.0 0.060288 0.084854 0.072518 0.010048\n",
"10.0 1.104993 1.188788 1.159427 0.033998\n",
"11.0 5.851149 7.399030 6.325944 0.617343"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exhaustive_data.groupby('n').agg(['min','max','mean','std'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us plot this data to see it visually.\n",
"We will use the following convention:\n",
"- The blue dots are the actual measurements.\n",
"- The solid red line is the mean time.\n",
"- The light red shade shows the standard deviation around the mean."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fuPffb8aNjZVuuMG+2fJeIsDpAgAAAAAAvVhhoZSTI8XHS4Nsmq/96CPppZckSRWLl2qfJ1BVueXyz69QdFiQEiNtmj13EGEbAAAAANC2ujpzX7WfnxQWZs+YhYXSypWSpKpzz9fdZVHasX6rXAFB2rBROnZCrO48O02HxYbb83oOYRk5AAAAAKBtOTkmHCck2DNeY6O0bJlUXi530iTdM/4kbdpd3uKSTzJLdOurW1RQ4bLnNR1C2AYAAAAAtFZc3HxPtV3Lx595RvrqKyk0VHmLlmpjbnWbl32SWaJ91fX2vKZDCNsAAAAAgJYaGszy8cZGKSLCnjG3bpUeftgc33STyuOHd3h5hcttz+s6hLANAAAAAGhp504pL8++5ePV1Wabr8ZGae5c6YwzFB7s3+FTIkP6dosxwjYAAAAAoNm+fVJWlhQdLQXYFHjvuUfau1caOlS69VbJz0+RIYGaNmpIm5cfOyFW0eFB9ry2QwjbAAAAAADD7TbLx10uKTLSnjHfflt66y1z3/eqVdLgwZKk2IhgXXXChFaBe3838r6+/VffnpcHAAAAANhnzx4zAz284/upfRpvzRpz/OtfS9OmtXh4WFSorj85SVVTolTlFyj/445TdDj7bAMAAAAA+ouKCjOrHRlpz/Jxt1u67TZzv3Z6unTJJW1eFhsRrNiYcCk0VBpm02x6L+DoMvL6+notX75chx9+uI4++mjdd999sizLyZIAAAAAYODxeEzQrq6WoqLsGfOxx6QtW0w381Wr7Lv/u49w9He7atUqffHFF3riiSdUXV2t66+/XsOHD9fPfvYzJ8sCAAAAgIFl716z5Dsx0Z7xNmyQnnzSHC9ZIg0bZs+4fYhjYbusrEwvv/yynnrqKU2dOlWSdMkll2jTpk2EbQAAAADoKdXV0g8/mGXcQTZ0AC8vl5YtkyxLOvNMs9VXBypdDarYV6vqigb5F1UpLjxIQ8L6didyycGwvWHDBkVERGj27NlN5y677DKnygEAAACAgceyzPLxigpp1Ch7xlu1SiookA47TLrxxg4vL6p06YH3M5X9w265AoK04UtLx0+M013zp2p4VGjX63GQY/ds7969WyNGjNBrr72mefPm6Uc/+pH++Mc/yuPxOFUSAAAAAAwseXnSzp1SQoLk59f18V57TfrwQ3N/9urVUlhYu5dWuhr0wPuZ+np3WYvz/84o1i0vb1Z5TX3X63GQYzPbNTU12rlzp55//nmtWbNGRUVFWrZsmUJDQ3VJO13qAAAAAAA2qa01y8eDg6UQG7baysmR7r3XHF91lTR5coeXl9U0tAra+/07o1jFVfV9ejm5Y2E7ICBAVVVV+t///V+NGDFCkpSbm6vnnnuOsA0AAAAA3cmypOxsqbTULPfuqvp60witrk464gjpF7845FOq690dPl7pauh6XQ5ybBl5fHy8goODm4K2JI0dO1Z5eXlOlQQAAAAAA0NhoQnbdi0f/8MfzCx5VJS0fLk06NBRMzyo47nfwSGBXa/LQY6F7fT0dNXV1SknJ6fpXHZ2dovwDQAAAACwWV2dCcaDBpkO5F316afSc8+Z49tvl+LivHpaVFigZoyKavOx4yfGKS6i7y4hlxwM2+PGjdMJJ5ygxYsXa9u2bVq3bp0effRRnX/++U6VBAAAAAD9X06OVFRkZrW7qqTEzGRL0nnnSccd5/VTB4cE6pofTWgVuI+fGKe750/t0/drSw7esy1J9957r1auXKnzzz9foaGh+sUvfqEFCxY4WRIAAAAA9F/FxVJWlhQb69VS7w55PCZol5ZKEyZICxf6PET84BBde/JEVU0Zoiq/QPkff5yiw4KUGGlDwzaHORq2Bw8erHvuucfJEgAAAABgYGhoMHtqezxSRETXx3v+eemzz0w389Wrza8+arXP9kaxzzYAAAAAoA/ZuVPKz7dn+fi2baYpmiRdf700frzPQ/T3fbYJ2wAAAADQ3+3bJ2Vmmm7hAV1c4FxbKy1dambK58yR5s/v1DDe7LPdlxG2AQAAAKA/c7tN9/G6Oikysuvj3XeftGOHFB8v3XZbp7cOY59tAAAAAEDftWePlJsrDR3a9bHef1969VUTsFesMDPlncQ+2wAAAACAvqmiwsxqR0Z2ffl4fr5phCZJF10kHX54l4Zjn20AAAAAQN/T2Gi6j9fUdGkGummsZctMeE9JkS6/vMvlsc82AAAAAKDvyc2Vdu+WEhO7PtZTT0kbN0phYdKdd3Z9lvy/4geH6KZ5k1SRFq1q/wD5H3e84iKC+nzQlgjbAAAAAND/VFWZ5eNhYVJQF4Pr5s3SY4+Z45tvlkaO7Hp9BxgcEqjB0aFSaKiUYMP+370Ey8gBAAAAoD/xeMw2XxUVUkxM18aqqjLbfDU2SvPmSaeeak+NAwBhGwAAAAD6k/x8aedOKSGh09tySZIsS1qzxixHHz5cuuWWro13qNfqZwjbAAAAANBf1Naa5ePBwVJISNfGeust6Z13JH9/adUqKaKblng3NpoZ9CFDumd8hxC2AQAAAKA/sCyzfHzfPikurmtj7d4t3XOPOb70Umnq1K7X1568PGnYMGnixO57DQcQtgEAAACgPygslHbskOLju7bcu6FBWrLEbBk2Y4Z08cW2ldhKUZGZMU9J6fpMfC9D2AYAAACAvq6uziwfHzTIdPXuij/9SfruOykyUlqxwiwj7w4VFWYJeWpqv1tCLhG2AQAAAKDvy8kxM9sJCV0b58svpaefNsdLlkhDh3a9tra4XFJ5uTR5cve9hsMI2wAAAADQlxUXS1lZ5j7tQV2IeGVl0rJl5t7vs8+WfvQj20pswe2WCgqk8eOlMWO65zV6AcI2AAAAAPRVDQ1SRoYJyF3pFm5Z0sqV5h7qMWOk3/7WthJbvU5enjRihDRpUtf+caCX67+/MwAAAADo73bsMOG1q8vHX35Z+vhjKTBQWr266/d9t6egQIqONvdpBwV1z2v0EoRtAAAAAOiL9u0zy8djYrrWxCwrS/rd78zxNdeYGefuUFZm6kxJ6b49u3sRwjYAAAAA9DVut+k+Xl8vDR7c+XHq6kwjtLo66eijpZ/9zL4aD1RTI1VVmaAdH989r9HLELYBAAAAoK/ZvVvKzZUSE7s2zgMPSJmZZnb89tu75x7qhgbTxG3iRGnUKPvH76UI2wAAAADQl5SXm6ZokZFSQEDnx1m3TnrhBXN8xx1SbKwt5bXg8Zh/FDjsMCkpSfLzs/81einCNgAAAAD0FY2NZia6tlaKiur8OMXF0vLl5vjnPzdLyLtDfr5ZNj55ctf+YaAPImwDAAAAQF+Rm2uWkHel+7jHY/bTLiszs81XX21beS2UlEjBwabzeFhY97xGL0bYBgAAAIC+oKrKNEULD+/atlnPPiutX2+C8OrV3bMFV1WVabqWmmruBx+ACNsAAAAA0Nt5PGb5eEWF2ae6s77/XvrjH83xjTdKY8faU9+B6uul0lKzhdjw4faP30cQtgEAAACgt8vLk3buNMvHO9tkrKbGbPPldksnniiddZatJUoy95Tn5ZkQP378gGqIdjDCNgAAAAD0ZjU1pvt4SIj56qy1a6Vdu8x2YUuXdk8QzsuThg2TkpMlf3/7x+9DCNsAAAAA0FtZlpSVZZZld2Vrrnffld54wwTsFSukIUPsq3G/oiIpIkJKSenaPwr0E4RtAAAAAOitCgqkHTu6tnw8N1e6805zfMkl0syZtpXXpKLCLCFPTe2eIN8HEbYBAAAAoDeqqzPLx/39pdDQzo3hdku33Wa6g6elSZdeam+NkuRySeXlZi/toUPtH7+PImwDAAAAQG+Uk2OWZsfHd36MJ56QNm0y24WtWiUFBNhXn2TCfEGBaYY2Zoy9Y/dxhG0AAAAA6G2Kisy92nFx0qBOxrZvvjFhW5IWL5ZGjLCtPEnmfvK8PDPupEmdr7Of4r8GAAAAAPQm9fVm+bhlmRnpzqisNB3HPR7ptNOkefPsrVEyM9rR0eY+7aAg+8fv4wjbAAAAANCb7Nwp5eebpmidYVmmIVp+vjRypLRokb31SVJZmbmXPCXFdCBHK4RtAAAAAOgtSkulzEwpJqbz+1S/8Yb03nvm+atWdX52vD01NabhWkpK1+4n7+cI2wAAAADQG7jdZvl4Q4M0eHDnxti5U1q71hxfcYU0ZYp99UmmtqIiaeJEadQoe8fuZwjbAAAAANAb7Nol7d0rJSZ27vkNDdKSJVJtrXT44dKFF9pbn8dj9uwePdqE7c7u+z1AELYBAAAAwGnl5WZWe8iQzm/P9dBD0rZtZozly+3vDl5QYJaNT54sBQbaO3Y/RNgGAAAAACc1Npr7tF0uKSqqc2N8/rn0zDPm+LbbOt9crT0lJabjeGqqFBZm79j9FGEbAAAAAJy0d6+0e3fnl4/v2yfdfrs5/slPpBNOsK00SaYZWl2dCdoxMfaO3Y8RtgEAAADAKVVV0g8/mI7hnVmabVlmyXhJiTRunHTddfbWV19vOqRPmiQNH27v2P0cYRsAAAAAnODxmOXjlZVSdHTnxnjhBemTT8wS79WrpZAQ++prbJTy8qSxY6Xx42mI5iPCNgAAAAA4IS/PbNWVmNi5IJuRIT3wgDleuNB0CLe7vmHDpOTkzu/5PYARtgEAAACgp9XUmOXjISFScLDvz3e5zDZf9fXSscdK551nb31FRVJEhJSSYu9s+QDiaNh+7733NGnSpBZfCxcudLIkAAAAAOheliVlZZnGZrGxnRvj/vul7Gzz/Ntvt3eJd0WFWUKemmq2EUOndHIDN3tkZmbqxBNP1MqVK5vOBXfmX3UAAAAAoK8oKJBycjq/fPyjj6SXXjLHy5d3/n7vtrhcZs/vtDRp6FD7xh2AHA3bWVlZSkpKUnx8vJNlAAAAAEDPcLmk7dulgIDOLc8uLJT2T1YuWCAdeaR9tbndUn6+lJRkmqKhSxxdRp6VlaUxY8Y4WQIAAAAA9JzsbLNNV2cmHBsbpWXLzMxzcrJ05ZX21WVZpiHayJFmm69BtPfqKsf+C1qWpZycHH3yySc65ZRTdPLJJ+vee+9VfX29UyUBAAAAQPcpKjLLx+PiOhdmn3lG+uorKTTUbPPVmX2521NQIEVFmfu0g4LsG3cAc2wZeW5urmpraxUUFKT7779fe/bs0apVq+RyubR06VKnygIAAAAA+9XXm626LEsKD/f9+Vu3Sg8/bI5vukkaPdq+2srKzNZeqammAzls4VjYHjFihL744gsNGTJEfn5+mjx5sjwej2666SYtXrxY/uzjBgAAAKC/2LHD3A89cqTvz62ulpYuNcvI586VzjjDvrpqa6WqKmn69M4tbUe7HF2IHxUVJb8Duu+NHz9edXV1Ki8vd7AqAAAAALBRaanZ6ismxswg++qee6Q9e0x38FtvtW+bL7fbNFybOFEaNcqeMdHEsbC9bt06HXHEEaqtrW069/333ysqKkoxMTFOlQUAAAAA9nG7pR9+kBoapMGDfX/+229Lb71l7vFetapzY7TF45Fyc81y9IkT7d2nG5IcDNvTp09XcHCwli5dquzsbH388ce655579Otf/9qpkgAAAADAXrt2mS7fiYm+P3fPHmnNGnP8q19J06bZV1dBgWnUNnmyvY3W0MSxe7YjIiL0xBNP6M4779T8+fMVHh6un/3sZ4RtAAAAAP1DeblpihYZafbV9oXbLd12m7lfOz3dhG27lJSYjuOpqVJYmH3jogXHwrYkTZw4UU899ZSTJQAAAACA/RobzfJxl6tzTdEee0zassV0B1+1yvew3p6qKlPTzJnmHnJ0G3YqBwAAAAC77d1rloF3Zvn4hg3Sk0+a4yVLpGHD7Kmpvt7Mak+aJA0fbs+YaBdhGwAAAADsVFVlZrUjIny/H7q8XFq2zOzHfcYZZqsvOzQ2mq3Hxo6VJkygIVoPIGwDAAAAgF08HnOfdlWV78u0LcssGS8okA47TLrpJvvq2t+kbfLkzm0/Bp8RtgEAAADALnl5pgN5QoLvz33tNenDD8392atX29e8rKjIzLKnpkohIfaMiUMibAMAAACAHWpqzPLxkBApONi35+bkSPfea46vusrMQNuhstIsIU9NlYYMsWdMeIWwDQAAAABdZVlSVpa0b58UG+vbc+vrTSO0ujrpiCOkX/zCnppcLqmsTEpOloYOtWdMeI2wDQAAAABdVVBgZqcTE31vPvaHP5gZ8agoaflyaZANMc3tNjWNH2+aoqHHEbYBAAAAoCtcLmn7dtN53Nd7oj/9VHruOXN8++1SXFzX67Esc+/4iBFmmy87wjt8xn91AAAAAOiK7Gyzf7WvQbmkxMxkS9J550nHHWdPPQUFZpY8JUUKCrJnTPiMsA0AAAAAnVVUZJaPx8X5NoPs8ZigXVpq9r1euNCeesrKzNZeqanS4MH2jIlOIWwDAAAAQGfU15t7rSUpPNy35z7/vPTZZ6Zr+erVvncvb0ttrdnfe/JkKT6+6+OhSwjbAAAAANAZO3ZI+fm+B9tt20xTNEm6/nrTxKyr3G6psFCaOFE67LCuj4cuI2wDAAAAgK9KS81WX3FxZtm2t2prpaVLpYYGac4caf78rtfi8Ui5udLo0SZs+9oNHd2CsA0AAAAAvnC7zfJxt1uKiPDtuffdZ2bE4+Ol226zJxgXFJjQP3my6YiOXoGwDQAAAAC+2LXLbK2VkODb895/X3r1VROwV6wwHcO7qrTUdBxPTZXCwro+HmxD2AYAAAAAb5WVSRkZ0pAhUkCA98/LzzeN0CTpooukww/vei1VVWZZekqKFBPT9fFgK8I2AAAAAHijsdEEbZfLhG1fnrdsmVRRYYLx5Zd3vZb6erNP96RJ0ogRXR8PtiNsAwAAAIA39u6V9uyREhN9e95TT0kbN5pl3qtX+zYj3pbGRjNTPnas2aObhmi9EmEbAAAAAA6lstI0RRs82LcmZJs3S489Zo4XLZJGjep6LXl5JvBPnuxbJ3T0KMI2AAAAAHTE45EyM8090tHR3j+vqsps89XYKM2bJ512WtdrKS42HdBTU6WQkK6Ph25D2AYAAACAjuTmmg7kvnQftyxpzRrz3OHDpVtu6fpy78pKs91Yaqpv94zDEYRtAAAAAGhPTY1ZPh4SIgUHe/+8t96S3nnHLPNetcr3/bgP5nKZTujJydLQoV0bCz2CsA0AAAAAbbEss3y8vFyKjfX+ebt3S/fcY44vvVSaOrVrdbjdUkGBNG6caYqGPoGwDQAAAABtyc+Xdu40y8e9XQLe0CAtWWJmxGfMkC6+uGs1WJZpiDZihJnVHkSE6yt4pwAAAADgYC6XWT4eEOBbI7I//Un67jspMlJasaLr3cILCqSoKLM/d1BQ18ZCjyJsAwAAAMDBsrOlkhIpLs7753z5pfT00+Z4yZKu31tdVmZmslNTzZZj6FMI2wAAAABwoMJCE7bj471ftl1WJi1bZpZ9n3229KMfda2G2lqzdVhKiqkDfQ5hGwAAAAD2q683y8f9/KSwMO+eY1nSypVSUZE0Zoz02992rQa32wT+iROlww7r2lhwDGEbAAAAAPbLyTFB15fZ5Jdflj7+WAoMNNt8hYZ2/vU9HrM39+jRJmx3dW9uOIawDQAAAACSuUc7K8ts8+VtY7OsLOl3vzPHV19tOoZ3RX6+uU988mQT3tFnEbYBAAAAoKFBysiQGhuliAjvnlNXZxqh1dVJRx8tnX9+12ooLTUdx1NTvV/Cjl6LsA0AAAAAu3aZ5dsJCd4/54EHpMxMKSZGuv32ru2BXVVlthtLTTXjoc8jbAMAAAAY2MrKTGiOijL7antj3TrphRfM8R13mKXnnVVfb5awJyVJI0Z0fhz0KoRtAAAAAANXY6NZPu5ySUOGePec4mJp+XJzfP75Zgl5V14/P18aO1aaMIGGaP0IYRsAAADAwLVnj7R3r5SY6N31Ho/ZT7uszMxEX3NN114/L8+89uTJ3jdlQ59A2AYAAAAwMFVWmj21IyK87/z97LPS+vVScLC0erVpaNZZxcXmtVNTpZCQzo+DXomwDQAAAGDg8XjMfdpVVVJ0tHfP+f576Y9/NMc33miWfndWZaXkdkspKd4vX0efQtgGAAAAMPDk5poO5N4uH6+pMdt8ud3SiSdKZ53V+dd2ucwy9ORkadiwzo+DXo2wDQAAAGBgqa6Wtm83S7eDg717ztq1zeF86dLONzJzu6WCAmncuK7NjKPXI2wDAAAAGDgsS8rKkioqvN+u6913pTfeMAF7xYrOL/u2LNN5fPhwM6vdlX250evx7gIAAAAYOPLzpR07pIQE72an8/KkO+80xxdfLM2c2fnXLiw0QT01tWuN1dAnELYBAAAADAwul+k+HhjoXfdvt9ssGa+qktLSpMsu6/xrl5WZcJ+aKg0e3Plx0GcQtgEAAAD0f/uXj5eUSHFx3j3nySelTZuk8HBp5UopIKBzr11bawJ7SooUH9+5MdDnELYBAAAA9H9FRVJOjgm73twr/c030uOPm+PFi6WRIzv3um63WT4+caJ02GGdGwN9ks//NPPZZ59p3bp1+vbbb1VaWio/Pz/Fx8crJSVFxx9/vGbPnt0ddQIAAABA59TXm+Xjfn5SWNihr6+sNMvHPR7p1FOlefM697oej9libNQoE7Y728EcfZLXYfvVV1/VI488ourqah111FE65phjFBUVJY/Ho3379mn79u268cYbFRYWpksvvVTz58/3qZDLLrtMMTExuuuuu3z+TQAAAABAu3JyzOyyN7PTlmUaouXnSyNGSDff3PnXzc83S9ZTU8194hhQvArbCxYs0MiRI7V27VpNnTq1w2vXr1+vF154Qa+88oqeffZZr4p466239PHHH+vss8/26noAAAAA8EpJiblXOzZW8vc/9PVvvCG99565dvVqc792Z5SWmo7jqanezaaj3/EqbC9fvlzjxo3zasDZs2dr9uzZysrK8ur6srIy3XPPPUpLS/PqegAAAADwSkODWT7e2ChFRBz6+p07pbVrzfEVV0hTpnTudaurTefz6dOlmJjOjYE+z6sGaR0F7bq6Om3evFmVlZUtzo8fP96rAu6++279z//8jyZMmODV9QAAAADglV27zD7ZCQmHvrahQVqyxHQOnzVLWrCgc69ZX29m05OSzDJ0DFg+dyPPzMzUueeeq40bN6qiokJnnXWWzj33XB1//PH6/PPPfRrrP//5j7766itdeeWVvpYBAAAAAO0rK5MyM6XoaO+27HroIWnbNmnIEGnFCu+WnB/M4zHhfswYacIEGqINcD6H7eXLl2vUqFEaO3asXnrpJVVWVuqTTz7R5Zdfrrvvvtvrcerq6nT77bdr2bJlCvFmQ3kAAAAA8EZjo5SRYZZyR0Ye+vrPP5eeecYc33abdzPhbcnNlRITpcmTOxfW0a/4HLY3b96s6667TtHR0frXv/6luXPnKi4uTqeffrqys7O9HufBBx/UlClTdNxxx/laAgAAAAC0b88e85WYeOhr9+2Tbr/dHP/kJ9IJJ3TuNYuLzX3hqakSk4lQJ/bZHjx4sIqLixUQEKBvvvlGv/nNbyRJ33//vWJjY70e56233lJxcbGmT58uSaqvr5ckvfPOO/r66699LQsAAAAAzB7ZP/xgZrQPtd2WZUnLl5t7rMeNk667rvOv6XZLU6dKUVGdGwP9js9h+5xzztEVV1yhoKAgjRw5Uscee6yee+453XPPPbr22mu9HueZZ56R2+1u+v7ee++VJN14442+lgQAAAAA5p7pzEzTDXzUqENf/8IL0iefmC26Vq/u3Iy0y2Vmx6dOlYYN8/356Ld8Dtu//e1vlZaWpr179+r000+Xv7+/hg8frvvuu08nnnii1+OMOKgzX/h/968bPXq0ryUBAAAAgLlnetcu75aPZ2RIDzxgjhculCZO9P313G6poMA0Qxs71vfno1/zKmzn5ORo7AF/eObOndvi8Tlz5rR6TnZ2ttd7cwMAAABAl1RXS9u3S6GhZqa6Iy6X2earvl469ljpvPN8fz3LkvLzpeHDpUmTpEE+t8NCP+dV2F62bJlGjhyp888/X1OnTu3w2q+++krPP/+88vLy9Oyzz3pdyF133eX1tQAAAADQxLLM8vGKCu+Wj99/v5SdLcXGmuZondmiq7DQbBOWmioFB/v+fPR7XoXtZ555Rq+88opuvPFGuVwuHXXUURo/fryio6PV2NiosrIybd++XRs3blRwcLAuvfRS/eQnP+nu2gEAAADAzDDv3Gm27DpUcP7oI+mll8zx8uVmH25flZWZ10lJkQYP9v35GBC8vmf7nHPO0TnnnKN169bpk08+0bp161RaWio/Pz/FxsYqJSVFa9as0ZFHHqlBLKEAAAAA0BNqa0338aCgQzc4KyyUVq40xwsWSEce2bnXq6qSpk3r/H7cGBB8bpB23HHHsTc2AAAAAOdZllkOXlJy6OXjjY3SsmVSebmUnCxdeaXvr+d2m8A+aZJ02GGdqxkDBlPQAAAAAPqmoiIpJ0eKjz90g7JnnpG++srMfq9efeg9uA9mWabb+ahRUlJS5+7zxoBC2AYAAADQ99TVmeXjfn5SWFjH127dKj38sDm+6SapM9sN5+VJMTHmPm1fgzoGJMI2AAAAgL5nxw6zpPtQ901XV0tLl5pl5HPnSmee6ftrlZaae8KnTJHCwztVLgYewjYAAACAvqWkRMrKMlt3HWr5+D33SHv2SEOHSrfe6vvy7+pqsy93aqp5PcBLnQrbu3fv1t13360rr7xShYWFeumll/TVV1/ZXRsAAAAAtNTQYJaPezxSRETH1779tvTWWyaQr1rl+zZd9fUm2CclSSNGdL5mDEg+h+0vv/xSZ555pvbu3at169aprq5O2dnZ+uUvf6l33323O2oEAAAAAGPXLnP/dHx8x9ft2SOtWWOOf/Urs1WXLzwe8zpjxkgTJtAQDT7zOWyvXbtWN9xwgx544AEFBJidwxYtWqQbb7xRDzzwgO0FAgAAAIAkad8+KTNTio6WAjrYxdjtlm67zSwBT083YdtXeXlSYqLZJszfv/M1Y8DyOWz/8MMPmjNnTqvzP/rRj7Rr1y5bigIAAACAFhobTdB2uaTIyI6vfewxacsWs8x81aqOg3lbiotNh/PUVCk0tPM1Y0DzOWyPGDFCW7ZsaXX+o48+0gjuYwAAAADQHXbvbm501pENG6QnnzTHS5ZIw4b59jqVlWZmPDVViorqVKmAJPn4TzzSddddp1tuuUVbtmxRY2OjXnvtNe3Zs0dvvfWW7rnnnu6oEQAAAMBAVlEhZWSYGe2OZqnLy6VlyyTLks44w2z15QuXyyxVnzrV95AOHMTnme25c+fq2WefVUlJiSZOnKj3339f9fX1evbZZ3Xqqad2R40AAAAABiqPxwTt6uqOZ5otyywZLyiQDjtMuukm317H7TbPHT9eGju2SyUDUidmtiUpOTmZWWwAAAAA3W/vXrN8PDGx4+tee0368EMz8716tbnn2luWJeXnS8OHS5MmHXrvbsALPoftwsJCPf7448rOzlZ9fX2rx//yl7/YUhgAAACAAa662uypHRoqBQW1f11OjnTvveb4yiulyZN9e53CQrNEPTVVCg7ufL3AAXwO29dff72Kior04x//WCEhId1REwAAAICBzrLM8vGKCmnUqPavq683jdDq6qTZs6ULLvDtdcrKzB7aqanS4MFdKhk4kM9h+9tvv9Xzzz+v5OTk7qgHAAAAAMw+1zt3SgkJJgy358EHzex3VJS0YoVvS8Bra6WqKmnaNPM6gI18vhkhPT2d/bQBAAAAdJ/aWjOrHRwsdbSa9rPPpL/9zRzffrsUF+f9a7jdZvn4hAmmoRpgM59ntlevXq3zzz9fH3zwgUaMGCG/g/6V6eqrr7atOAAAAAADjGVJ2dlSSUnHIbikRLrjDnN87rnSccf59hq5uWZ5elJSxzPnQCf5HLZ/97vfad++fcrOztbevXtbPHZw8AYAAAAAnxQWmrDd0fJxj0davlwqLTVbdV17rW+vkZ8vxcRIKSlSYGDXawba4HPYfv/99/Xkk09q9uzZ3VEPAAAAgIGqrs7cfz1okOlA3p7nnzdLyIODpTvv9K2DeGmpCdhTpkjh4V2vGWiHz/dsDx8+XKEd/cEHAAAAgM7IyZGKijpuVrZtm/SHP5jj6683M9veqq6WXC7TeTw2tmu1Aofg88z2woULdcstt+iXv/ylRo4cqYCAlkMcfvjhthUHAAAAYIAoLpayskwIbq+jeG2ttHSp1NAgzZkjzZ/v/fj19eY+75QUacQIe2oGOuBz2L7uuuskSbfddlurx/z8/PT99993uSgAAAAAA0hDg+k+7vFIERHtX3fffdKOHVJ8vHTbbd43NvN4zFZiY8eamXB6TaEH+By2t23b1h11AAAAABiodu40TcuGD2//mvffl1591QTlFSvMvtreysuTEhOl5GQpwOcIBHSKV3/ScnNzNWzYMPn5+Sk3N7fDa4d39AEBAAAAgAPt2ydlZprw3F4Qzs+XVq82xxddJPly62pxsRQWZu7TpvcUepBXYftHP/qRPvnkE8XGxuqkk06Sn5+fLMtqenz/9ywjBwAAAOA1t9t0H6+rM0vD29LYKC1bJlVUmPutL7/c+/ErK81rTJ3q20w4YAOvwvadd96pyMhISWbrLwAAAADosj17pNzcjpePP/WUtHGjmZ1evdr7ZeAul5k1T0uThg2zp17AB179Sb311lt1/PHHKzY2ViPo3AcAAACgqyoqzKx2ZGT7AXrzZumxx8zxokXSqFHeje12SwUF0oQJ0rhx9tQL+MirfbYPXDIOAAAAAF3i8Zju4zU17S/vrqoy23w1NkqnnCKddpp3Y1tWc7O1SZPa30YM6GZe/8nzoz0+AAAAADvs3Svt3m06hLfFsqQ1a5qXmC9e7P12XYWFZrY8NVUKDravZsBHXve9nz9/vgZ58a9C3NMNAAAAoF3V1Wb5eFiYFBTU9jX//Kf0zjuSv7+0alXHe28fqKzMhPLUVGnwYNtKBjrD67B98cUXazB/YAEAAAB0lmWZ5eMVFe3ff717t3T33eb40ktNJ3Fv1Naapefp6VJCgj31Al3gVdj28/PTaaedptjY2O6uBwAAAEB/lZcn7dxpwnBby8LdbmnJEnMv94wZ0sUXezeu222Wj0+aJI0ebW/NQCfRIA0AAABA96utNcvHg4OlkJC2r3nkEem778wS8BUrzDLyQ7EsE+JHjZKSkry/txvoZl6F7bPPPlvBNBcAAAAA0BmWJWVlmX2v4+LavubLL6WnnzbHS5dKQ4d6N3Z+vhQdLaWkSIGB9tQL2MCrZeRr1qzp7joAAAAA9FeFhVJOjhQf3/bMc1mZtGyZCeVnny396EfejbtvnwnYU6ZI4eG2lgx0FZvOAQAAAOg+dXVm+figQVJoaOvHLUtauVIqKpLGjJF++1vvxq2uNkvTU1MlekuhFyJsAwAAAOg+OTlmZru9DuEvvyx9/LGZoV61qu1AfrCGBqmkxNyjPWKEvfUCNiFsAwAAAOgexcXmXu24ODOzfbCsLOl3vzPHV18tJScfekyPR8rNNbPg48fTEA29FmEbAAAAgP0aGsye2pYlRUS0fryuzmzzVVcnHX20dP753o2blyclJppgHuBVCyrAEYRtAAAAAPbbudME4/aWjz/wgJSZKcXESLff3vbM98GKi6WwMHOftjfLzQEHEbYBAAAA2GvfvuYg3dZe2evWSS+8YI5vv927BmeVlWa2PDVVioqytVygOxC2AQAAANjH7Tbdx+vrpcGDWz9eXCwtX26Ozz9fOuaYQ49ZV2e2B0tOloYNs7VcoLs4GrZ37typX/3qV5o+fbpOOOEEPf74406WAwAAAKCrdu82DcwSE1s/5vGY/bTLykwn8WuuOfR4jY1Sfr40bpw0dqzt5QLdxbGOAh6PR5dddpnS0tL06quvaufOnfrtb3+rxMREnXHGGU6VBQAAAKCzKipMU7TIyLablz37rLR+vRQcLK1eLQUFdTyeZZn7vocPlyZNantJOtBLOTazXVxcrMmTJ+uOO+7QmDFjNGfOHB111FHasGGDUyUBAAAA6KzGRhO0a2vbvqf6+++lP/7RHN9wg3ez1IWFJrinppqADvQhjoXthIQE3X///YqIiJBlWdqwYYO+/PJLzZ4926mSAAAAAHRWbq5ZQt5W9/GaGrPNl9stnXiidPbZhx6vvNz8mpra9r3fQC/XKzamO+mkk5Sbm6sTTzxRp5xyitPlAAAAAPBFVZVpihYe3vbS8HvvlXbtMvdxL10q+fl1PJ7LZbqPp6e3v3UY0Mv1im7kDzzwgB555BF9//33WrNmjdPlAAAAAPCWx2O2+aqokKKjWz/+3nvSP/5hAvaKFdKQIR2P53ZLBQXShAnSYYd1T81AD+gVM9tpaWmSpLq6Ot14441atGiRgg7VLAEAAACA8/LzpZ07zQz0wTPWeXmmEZokXXyxNHNmx2Ptb4g2apTpVj6oV8wNAp3iaIO0f/3rXy3OTZgwQQ0NDaqqqnKoKgAAAABeq601y8dDQszXgdxus2S8qkpKS5Muu+zQ4+Xnm9nxlBQpMLB7agZ6iGNhe8+ePbr66qtVUFDQdG7r1q2KiYlRTEyMU2UBAAAA8IZlmeXjpaVSbGzrx598Utq0ydzHvXJl21uBHWjfPhOwp0wxzwH6OMfCdlpamlJTU3XrrbcqMzNTH3/8sdauXavLL7/cqZIAAAAAeKuwUNqxo+3l4998Iz3+uDlevFgaObLjsaqrTcfylJS2gzvQBzkWtv39/fXQQw8pNDRU5513npYsWaIFCxbowgsvdKokAAAAAN6oqzPLx/39pdDQlo9VVprl4x6PdOqp0rx5HY/V0CCVlJh7tA8VyoE+xNEGaYmJiXrwwQedLAEAAACAr3JypKIi08jsQJYl3Xmnufd6xAhp0aKOx/F4zP7cY8ea7uOH2hIM6ENo7wcAAADAe8XFUlaWFBfXulv4G2+Yrb78/U0X8oiIjsfKyzN7bycnH/qebqCPIWwDAAAA8E59vVk+blmtm5jt3CmtXWuOL7/cNDrrSHGxFBYmpaa2XooO9AOEbQAAAADe2bnTLBFPSGh5vqFBWrLEbAU2a5Z0qD5MVVXmOampUlRUt5ULOImwDQAAAODQ9u0zy8djYswy8QM99JC0bZs0ZIi0YkXrxw9UV2fGSk6Whg3r3poBBxG2AQAAAHTM7TbLx+vrpcGDWz72+efSM8+Y49tuaz3rfaDGRjMzPnas+QL6McI2AAAAgI7t2iXt3WuamR1o3z7p9tvN8fz50gkntD+GZZmGaMOGmVntjma/gX6AsA0AAACgfeXlUmamWSJ+YMdwy5KWLzd7ZI8bJ11/fcfjFBaaWfHUVCk4uHtrBnoBwjYAAACAtjU2mqBdW9u6kdkLL0iffCIFBZltvkJC2h+nvNz8OmWKFBnZbeUCvQlhGwAAAEDb9u6Vdu9uvXw8I0N64AFzvHChNHFi+2O4XFJlpZSS0vH93EA/Q9gGAAAA0FpVlWmKFh4uBQY2n3e5zDZf9fXSscdK553X/hhut1RQIE2YIB12WPfXDPQihG0AAAAALXk8Zvl4ZaUUHd3ysfvvl7KzpdhY0xzNz6/tMfY3RBs1SkpKkgYRPTCw8CceAAAAQEt5edLOnWb5+IFh+qOPpJdeMsfLl7cO4gfKzzePp6S0nBkHBgjCNgAAAIBmNTVm+XhISMuu4YWF0sqV5njBAunII9sfY98+E7CnTDHL0IEBiLANAAAAwLAsKSvLhOXY2ObzjY3SsmWmq3hysnTlle2PUV1tAntKSssxgAGGsA0AAADAKCiQcnJaLx9/5hnpq6/MbPeqVe0vC29okIqLzT3aI0f2TM1AL0XYBgAAAGC6jP/wgxQQ0HLP7K1bpYcfNsc33SSNGdP28z0ec6/32LGm+3h7jdOAAYKwDQAAAMB0GC8uluLjm89VV0tLl5pl5CefLJ15ZvvPz8szz01ONoEdGOAI2wAAAMBAV1Rklo/HxbXcouuee6Q9e6ShQ6Vbb21/trq4WAoLMw3RQkN7pmaglyNsAwAAAANZfb2UkWGaox3YOfztt6W33jLhe9UqKTKy7edXVZl7tVNSpKioHikZ6AsI2wAAAMBAtnOn2RM7IaH53J490po15vhXv5KmTWv7uXV1pnN5crI0fHi3lwr0JYRtAAAAYKAqLZUyM6WYGMnf35xzu6XbbjP3a6enm7DdlsZGE9LHjjVfAFogbAMAAAADkdttuo83NEiDBzeff+wxacsWKSLCLB9vq9mZZZmGaMOGmVnt/UEdQBPCNgAAADAQ7dplAnNiYvO5DRukJ580x7feasJ0W4qKTEBPTZWCg7u/VqAPImwDAAAAA015uWmKFhnZPHNdXi4tW2Zmrc84Q/rxj9t/rmWZoN1e0zQAhG0AAABgQGlsNPdpu1zN3cMtyywZLyiQDjtMuummtp/rckmVldLkyS1nxAG0QtgGAAAABpK9e80S8gPD8muvSR9+aGa5V682e2YfzO02YXzCBGn06B4rF+irCNsAAADAQFFVZZqiRURIgYHm3I4d0r33muMrrzSz1gfb3xBt1CgpKcnsvQ2gQ3xKAAAAgIHA4zH3aVdVma2+JKm+3jRCq6uTZs+WLrig7efm50vR0VJKSnNIB9AhwjYAAAAwEOTlmeXjCQnN5x580Mx0R0VJK1a0PWO9b58J2FOmSOHhPVYu0NcRtgEAAID+rqbGhOqQkOatuj77TPrb38zxsmVSXFzr51VXm+empEixsT1XL9APELYBAACA/syypKwsM0O9PzCXlEh33GGOzz1XOv741s9raJCKi8092iNH9li5QH9B2AYAAAD6s4ICKSfHdB/38zP3bi9fLpWWSuPHSwsXtn6Ox2OWnY8da7qP+/n1fN1AH0fYBgAAAPorl0vavt3ccx0SYs49/7xZQh4cbLb52n/+QHl5Uny8lJxstgMD4DPCNgAAANBfZWebJeP778fetk36wx/M8XXXmVnrgxUXS6GhUmqq+RVApxC2AQAAgP6oqMgsH4+LM13Ga2ulpUvNvdjHHy/95Cetn1NVZR5PTTVbfQHoNMI2AAAA0N/U15vu41Lzdl333Sft2GGWhy9b1vo+7Lo600QtOVkaPrxHywX6I8I2AAAA0N/s2GEao8XHm+/ff1969VUTsJcvN/tqH6ix0Vw/dqz5AtBlhG0AAACgPyktNVt9xcZK/v5Sfr5phCZJF14ozZ7d8nrLMg3Rhg41s9r+/j1fM9APEbYBAACA/sLtNsvH3W4pIsLMWC9bJlVUSCkp0hVXtH5OUZE0eLC5Tzs4uOdrBvopwjYAAADQX+zaZWapExLM9089JW3cKIWFmdntg7fxKi83M9upqVJkZM/XC/RjhG0AAACgPygvlzIypCFDTKjevFl67DHz2KJF0qhRLa93uaTKSmnyZCkxsefrBfo5wjYAAADQ1zU2muXjLpcJ21VVZpuvxkbplFOk005reb3bbRqiTZggjR7tTM1AP0fYBgAAAPq6vXulPXvMDLVlSXfdJeXmmi28Fi9uuc3X/oZoo0ZJSUlmD24AtuOTBQAAAPRllZVmVnvwYCkwUPrnP6W33zZdxVetMo3SDlRQIEVHm4ZpgYHO1AwMAI6G7YKCAi1cuFCzZ8/WcccdpzVr1qiurs7JkgAAAIC+w+ORMjPNsvHoaGn3bunuu81jl14qTZ3a8vp9+8z93KmpUnh4z9cLDCABh76ke1iWpYULFyoyMlLPPvusysvLdeutt2rQoEG6+eabnSoLAAAA6Dvy8kwH8oQEcx/2kiVSTY00fbp08cUtr62paX4sLs6ZeoEBxLGZ7ezsbH3zzTdas2aNJk6cqFmzZmnhwoV68803nSoJAAAA6DtqaqTt26WQELM/9iOPSN99Z5aTr1xplpHv19Bg9tNOSpJGjnSuZmAAcSxsx8fH6/HHH1fcQf+qVlVV5VBFAAAAQB9hWWb5eHm5FBsrffml9PTT5rElS6ShQ5uv9XjMDPiYMab7+IHN0gB0G8fCdmRkpI477rim7z0ej/7617/qyCOPdKokAAAAoG8oKJB27jTLx8vLpWXLTAA/6yzp5JNbXpuXJ8XHm/20Axy7ixQYcHrNp23t2rX67rvv9NJLLzldCgAAANB7uVxm+XhAgFk+vmSJWSI+erR0ww0try0ulkJDTUO00FBn6gUGqF6x9dfatWv19NNPa+3atUpKSnK6HAAAAKD3ys42ITouTnr5Zenjj80WXqtXtwzUVVXmXu3UVNOpHECPcnxme+XKlXruuee0du1anXLKKU6XAwAAAPReRUVSTo5ZPp6TI/3ud+b81VdLycnN19XVSaWlUlqaNHy4M7UCA5yjYfvBBx/U888/r/vuu0/z5s1zshQAAACgd6uvN8vHJdNpfMkSE6qPOko6//zm6xobpfx8adw4aexYZ2oF4FzYzsrK0kMPPaTLLrtMM2fOVFFRUdNj8fHxTpUFAAAA9E45OVJhodm66777TDfymBjpjjukQf+9O9SyTEO0YcNMQ7QDt/8C0KMcC9vvv/++Ghsb9fDDD+vhhx9u8dj2/f9iBwAAAEAqKTH3asfGSp99Jr3wgjl/++3m3H5FRVJEhLlPOzjYmVoBSHIwbF922WW67LLLnHp5AAAAoG9wu6WMDPOryyUtX27On3++dMwxzdeVl5uZ7SlTpMhIZ2oF0MTxBmkAAAAAOrBzp5Sba5aGX3edVFYmJSVJ11zTfI3LJVVWmoZoiYlOVQrgAL1i6y8AAAAAbSgrM/dmR0WZpePr15vl4atXS0FB5hq3WyookMaPl8aMcbBYAAdiZhsAAADojRobzfJxl8vci/3HP5rzN9zQ3GV8f0O0UaPMbPcg5tKA3oKwDQAAAPRGe/ZIe/ea+68XLjQz2CeeKJ19dvM1BQVSdLTpPL5/phtAr8A/fQEAAAC9TWWl9MMPprP4738v7dolJSRIS5dKfn7mmn37pIAA03k8IsLZegG0wsw2AAAA0Jt4POY+7aoqaft26R//MAF7xQppyBBzTU2N+Zo+XYqLc7ZeAG1iZhsAAADoTXJzzUy2ZZlGaJJ08cXSrFnmuKHB3MOdlCSNHOlcnQA6RNgGAAAAeouaGjObHRhoZrKrqsy+2ZddZh73eExDtNGjpQkTmpeUA+h1WEYOAAAA9AaWZZaPV1RIb78tbdokhYdLq1aZe7MlKT9fio+XUlKazwHolZjZBgAAAHqD/Hxpxw4zc/344+bcLbc0LxUvLpZCQkxDtNBQx8oE4B3CNgAAAOA0l8t0H6+rk1auNMvFTz1V+n//zzxeVWXu1U5NNVt9Aej1CNsAAACAkyxLysoyM9ePPmpmuEeMkBYtMo/X1UmlpdKkSdLw4c7WCsBrhG0AAADASUVFUk6O9NVX0r/+Jfn7my7kERFSY6MJ32PHSuPGOV0pAB8QtgEAAACn1Neb5eO5udLvf2/OXX656UBuWeb+7WHDpMmTTQgH0GcQtgEAAACn5ORIe/dK990n1daavbQvvNA8VlRkZrdTU6XgYGfrBOAzwjYAAADghJISc6/2q6+avbWHDJGWLzcz2BUVZmZ7yhQpMtLpSgF0AmEbAAAA6GkNDWb5+FdfSS+8YM7ddpuUmGg6k1dUSMnJ5nsAfRJhGwAAAOhpu3ZJ27ZJDzxgvp8/XzrhBMntlgoKpPHjpTFjnKwQQBcRtgEAAICeVFYmZWSYbb5KSkyX8euvN8vGc3OlkSOlpCRpEH9VB/oyPsEAAABAT2lsNEH7lVekzz+XgoLMNl8hIWZGOyZGSkkx5wH0aYRtAAAAoKfs2SN9+qn09NPm+4ULpYkTpX37pIAA03k8IsLZGgHYgrANAAAA9ITKSmnLFun++83+2sccI513nlRTI1VXm7204+KcrhKATQjbAAAAQHfzeKTMTOmPf5R27pRiY6XbbzcN0YqKpEmTpFGjnK4SgI0I2wAAAEB3y82VXnxRevtt8/3y5VJUlJSXJ40eLU2YIPn5OVoiAHsRtgEAAIDuVF1t7tN+8EHz/QUXSEceKeXnS/HxZvl4QICzNQKwHWEbAAAA6C6WJW3fLq1aZe7ZTk6WrrpKKi42HchTU6WwMKerBNANCNsAAABAd8nPNw3Rtm414XrVKqmuzjRIS02VoqOdrhBANyFsAwAAAN3B5ZJef13629/M9zfdJA0bJpWWmhnu4cOdrQ9AtyJsAwAAAHazLGnzZtMIrbFROvlk6bTTzEz32LHSuHFOVwigmxG2AQAAALsVFUmLF5twPXRo8/GwYaYhmr+/0xUC6GaEbQAAAMBOdXVmP+0PPpAGDZJWrjTnIiLMfdrBwU5XCKAHELYBAAAAO61bJ61da45/9Stp/HjJ45GmTJEiI52tDUCPIWwDAAAAdsnPl665RqqtlaZOlX7xC6miwiwdT0x0ujoAPYiwDQAAANihocHcm71tm1kyfscdUkmJaYY2ZozT1QHoYYRtAAAAwA4vvig9/bQ5XrzY/DpypDRpkrl3G8CAEuB0AQAAAEBfU1Dh0r7qelW43IoMDVBs4V7FX3ut2fLrjDOk9HQzu52SIgUFOV0uAAcQtgEAAAAf7Cqp1uJXt+jTzBJJ0qBGt954Y4Xii4ulww6TLrvMbO2VmmoCN4ABifUsAAAAgJcKKly69YCgLUmXrX9Vqds3yj3IX2W/XSQ1NpoZ7bg4BysF4DTCNgAAAOClfTX1+uSAoJ2Wl6HrP/2bJOmv6fNUFTFESkqSRo1yqkQAvQTLyAEAAAAvVda6FdxQp8i6GsVWl+iBf9yj4MYGfT0sSf8ZPVWHxw/XyIkTJT8/p0sF4DDCNgAAANARy5IqK6XycsVt+V4Xf/W6Zu39XlPzM5RQXaby4HD9ZdqpKg6Lkn9qihTAX7EBELYBAACA1hoapIoKad8+acsW6cMPpc8/1+jNm3VLXV3TZa6AIP1p9nwVDo5VzOxpUniYczUD6FUI2wAAAIAk1dRI5eVSYaH073+br6++knbsaLpkkKT6qBhtHp2qd6InKCN2lPxlKXrWVJ3143QNYvU4gP8ibAMAAGBg8nialofrhx+kf/1L+s9/pK+/Nuf38/Mz23gde6yKpkzTkzvrlRTur9NjQlUXECT32PH6bFC0/vbFTi07PcW53w+AXoWwDQAAgIGjocGE69JS6dNPpY8+kr74QsrIMOF7v8GDpSOPlI49Vpo+XQoKkmpqVFVao5MnB+vFHbW6a5tHlcHBqtlRrGMmShcfM1YVtQ2O/dYA9C69ImzX19frnHPO0W233aYjjjjC6XIAAADQn9TUSGVl0u7d0jvvSJ98Im3cKJWUtLxu/HgTro86Sho3TqqtNXtmBwaa8D1hglTvr4v/ulUXzknTnaOiVOf2KDhgkL7eXaaFz32tN64+1pHfIoDex/GwXVdXpxtuuEEZGRlOlwIAAID+wOMxzc3Ky8091//6l/T559LWrZLb3XxdcLA0e7Z0zDHSzJkmUNfWSoMGma8xY6TYWGnIECk8XPLzU0xNvaaNK9CDH2S2etnjJ8YpLiKo536fAHo1R8N2ZmambrjhBlmW5WQZAAAA6Ovq65ubm739trRunfTll1Jubsvrhg834fqoo6TkZLOsvLFRCg1tnr2OipIiI82M9kGGhAXprvlTdcvLm/XvjOKm88dPjNPd86dqSBhhG4DhaNhev369jjjiCF1//fWaNm2ak6UAAACgL7Gs5u7h335rAvZnn0nffCO5XM3X+fube66PPlo6/HAzU11XZ2aug4KkESNazV4fyvCoUP3h/OkqrqpXpatBg0MCFRcRRNAG0IKjYfvnP/+5ky8PAACAvqSx0SwPLy2VPvigae9r5eS0vC421oTro44yXcT3Pzc01ITqhIQOZ6+9MSSMcA2gY47fsw0AAAC0q67OzF7v2CG9+aZZHr5xowndB0pJMc3NDj/cLBWvrzez1+HhJlzHxPg0ew0AXUXYBgAAQO9hWVJ1teke/p//mO7hn30mbd/ecmuu8HAzc33UUdLUqWZJuM2z1wDQFYRtAAAAOGv/8vDcXOmf/zR7X69fLxUXt7xu3DjT3Ozww6WxY01ncWavAfRShG0AAAD0vLo6M3u9eXPz8vCtW0138P2Cg6VZs8zs9fTpUkQEs9cA+gzCNgAAALqfZUlVVVJRkdn3+t13TXOzvXtbXjdsWPPsdVKSOcfsNYA+iLANAACA7uF2m+XhmZnSa69JH38sff21VFvbfI2/v5SebmavZ8wwncQ9nubZ68RE8yuz1wD6mF4Ttrdv3+50CQAAAOgql8tszfXvf0v/93+muVlmZstroqPN1lyzZ5su4gEBLWevY2NNuGb2GkAf1mvCNgAAAPogy5IqK6Vdu8y91++/b5qbtbU11/57r0eMMOdCQpi9BtBvEbYBAADgG7fbNDf78kvpjTdMc7Pvvmu9NdcRR5jZ67Q0KSzMzF5HREjx8cxeA+j3CNsAAAA4tNpaKS9Pevtts/f1559LhYUtrxk7tvne6zFjzP3YzF4DGKAI2wAAAGjN4zHdw7dskV5/3ex9vWmTVF/ffE1QkDRzppnBnjrVbMPl78/sNQCIsA0AAID9Ghqk4mLpgw/M/deffirt3t3ymsRE09xs5kyzNVdgILPXANAGwjYAAMBAVlNjuoX/4x/Se+9JX31lzu3n729mrffPXicmmu7hzF4DQIcI2wAAAAOJxyOVl5umZm+8Ybbo+uGHltdERTXfe52SYpqbMXsNAD4hbAMAAPR39fVmOfhbb5kGZ//5j+kmfqDkZDN7nZ4ujRpl7sdm9hoAOo2wDQAA0B9VVZkl4W+8Yfa+3rpVamxsfjwszGzLNXOmlJoqRUdLoaEmVA8dan5l9hoAOo2wDQAA0B94PFJBgdmW6623zDLxgoKW14webWavp02Txo83S8MPnL0eMsSEcGavAaDLCNsAAAB9VX29mbH+xz9MyP76a6murvnxwEAzcz1zppSWJiUkmDC9/95rZq8BoNsQtgEAAPoKyzLNzd5/32zN9dFH0o4dLa9JSDCz1zNmSJMmmfusmb0GgB5H2AYAAOjNGhul7Gwze/1//yd9/rlUXd38+KBB0pQp0qxZZmuuUaNMwGb2GgAcRdgGAADobWprpU8+MQH7/felbdvMrPZ+Q4aY5mb7t+aKimL2GgB6GcI2AACA0yxLysszS8P/+U/T3Ky0tOU1SUnNs9fjx0uDB7ecvR4yRArgr3YA0Fvwf2QAAAAnuN3NW3O98460aZM5t19oqAnXM2aYZeIJCcxeA0AfQtgGAADoKWVl5r7rt96SPvxQys1t+fioUdLhh0vp6VJysgnUzF4DQJ/E/60BAAC6i2WZ+61ff92E7C++aL01V3p689Zco0aZ2euEBCkmhtlrAOjDCNsAAAB2crlMU7M33pD+9S8pK6vl43FxprnZ1KkmYO9fEp6YaH6NjGT2GgD6Af5PDgAA0FW7d5vZ63/+03QRr6xsfmzQINMxfMYMM4s9YQKz1wAwABC2AQAAfOXxSJ9+arbmeucdaevWlltzDR5smptNm2YC9tChzF4DwADD/+UBAAC8UVpqtuZ6803pgw+kkpKWj48fb+69Tk83M9mRkcxeA8AARtgGAABoz6ZN0muvSW+/bbbpOnBrrpAQafp0M3s9fbp02GHMXgMAmvATAAAAYL/aWhOs33xTeu89cy/2gYYPb14ePnWqFB3N7DUAoE2EbQAAMLDl5Eivvmqam332mQnc+wUEmI7h06ebBmfjx0tRUcxeAwAOiZ8OAABgYGlslD76yHQPf/ddafv2lo/Hxpp7r6dNMwE7Pp7ZawCAzwjbAACg/ysqMvdev/WW9OGHUkVF82N+flJysgnWM2aY5mbMXgMAuoifHAAAoP+xLGnDBrM8/O23pW++Mdt17RcRYYL1tGnS4Yebe7ETEsysdmQks9cAgC4jbAMAgP6hstLcd/3GG6a5WWFhy8fHjDEBe/8S8ZgYZq8BAN2GnyoAAKDv2r5deuUVE7K/+EJqaGh+LDjYdAyfMUOaPVsaO9bcf83sNQCgBxC2AQBA31FfL/3rX83NzXbsaPl4YqKZuZ450ywPj49n9hoA4Ah+4gAAgN5t715z7/Wbb0rr1kk1Nc2P+fubhmYzZ5rZ60mTTLiOiTHhOjzcuboBAAMaYRsAAPQujY3Sf/5juoe//bb07bctH4+KMkvDZ82SjjjCNDdj9hoA0Mvw0wgAADivtNRsy/WPf0jvvy/t29f8mJ+fNGFC8+z11KnS0KHMXgMAejXCNgAA6HmWJW3e3Lz39YYNLbfmCgszHcNnzZKOPloaPZrZawBAn8JPKgAA0DOqq82WXK+/Lr3zjpSX1/LxUaPM8vAjjjAhe/hwZq8BAH0WYRsAAHSf7Gwze/3GG9Jnn5lu4vsFBkppac2z15MmmeXhkZHMXgMA+jx+igEAAPvU15uO4a+9Jv3f/0lZWS0fj49vnr0+6igzmx0TY5aHh4U5UjIAAN2BsA0AALomP9/MXP/jH9KHH5rl4vv5+0tJSWb2+thjzUz2sGHMXgMA+j1+wgEAAN94PNKXX5rZ63/+0zQ6O1BkpGluduSRJmCPG8fsNQBgwCFsAwCAQysrM8vC33hDevddqaSk5ePjxpmtuY49trm5GbPXAIABjJ9+AAAMIAUVLu2rrleFy63I0ABFhwUpMTKk9YWWJX37rVka/uab0vr1UmNj8+OhoWa/6yOPlI47TkpOZvYaAIADELYBABgg9pRUa095rcKDA9ToseRutJRTXKWGhkaNjA2XamqkDz4wAfuf/5T27m05wPDhZtb6mGNM9/CRI5m9BgCgHfxkBABgACiqcMnV6NEfPsjUp5nNS8DPiqrXEitL9e/9n4I++1Sqq2t+UmCglJpqOocff7yUns7sNQAAXiJsAwDQW3k8ktttz1dppd78JEvReeU6u7FBqQXZOinrS43bl9vyNWNjm/e9Pv54acwYZq8BAOgER39q1tXVafny5Xr33XcVEhKiSy65RJdccomTJQHopfbsq1Gly62K2gYNCQ1UREiARkYzs9bvWZa5T7i9ANnQ0PUQ2tDQPM7B4x34/aFe6+DH26r7wHPtHR/4vWXZ9p8yXtJ1bZxv9PNTdvQIxZ18vKJP+ZGZxWb2GgCALnM0bN9zzz3aunWrnn76aeXm5urmm2/W8OHDNW/ePCfLsg3hALDHzpJq3frqlhZLX4+dEKvVZ6dpdGy4g5X1AMuyd3bT24BqR/hs76u9YHng8YG/orVBg8z+1Qf/2sFxrUfaW1Evj5+fGgf5a1/IYG0ckazPDkvTrpgR+v1v5mjmlNHMXgMAYBPHfqLW1NToxRdf1GOPPabU1FSlpqYqIyNDzz77bL8I2wM6HADesqzmmbv9xwd+SdpTWq3bX92sDVklCrUkf8sjf0+jvt9UprVlRVpySpKGhQfaG0YPNftpV/D0JnS63Q6+Qb2Yn98hw2Wb37d37lBfAQHtf3/wYweeO/DXA78CA5sfCwxs/vXAx/YfH3h+/9egQc3/HfZ/Hfh9G4/tKazSz59YL8l87/HzU3VQiFyBphN5WGI8QRsAABs59lN127Ztcrvdmj59etO5mTNn6pFHHpHH49Gg/X+R6IP27KtpCtqD66p1bM7XCvS45fetpX9+/rbOO3yUYsKC2g0XtpxnLHvH8ni8H6ev/h47O9bB13g7lpdGSvpzRxfc5PVQ/U9AgO9B81DBs63g6G2obC+QHhwWDwyS+69rK1S2FTwPHLedUOlLALXlWm+e2wuEh9dq0rR9+iSzpNVjx06I1ZDQQAeqAgCg/3IsbBcVFSk6OlpBQUFN5+Li4lRXV6eysjLFxMQ4VVqXVbrcTTPat//rUf1k6/stL3jCgaKAfsjtN0iDAvw16ODQ2ZUZzAOD4v7ndzSL2dZjBwfQtmYq938FBbW85uAZzwND5oHfDxrUO0JkLwyVaNvwqFCtPjtNS17d0iJw7191NTwq1MHqAADofxwL27W1tS2CtqSm7+vr650oyTYVtQ1Nx6+lnKBRZfkKdtfL+u9fRickDtbg4IBD/4X1UOc6utaXsdo7PtRjh3p9O8by5XkHL6ts6/jAFRO+vL4v5w98nYOvb+v8wY+39djBv4e2fo8djX2oazpzvq334+D6D665o/raeSyrsEqX/GWDLPnJ8pMaB/nLPchfjX5mzOd+c5SShkb69me5K9ce+N4Dfczo2HDd85N0ldc2qNLVoMEhgRoSGkjQBgCgGzgWtoODg1uF6v3fh4SEOFGSbSIPWIr3ydjp+mTs9BaP/9+1x2nysMieLgvok4LjazRqdn27S1/DRgyVaDwIeG14VCjhGgCAHuDYjdGJiYnat2+f3Ac0/ykqKlJISIgiI/t2EB0cEqBjJ8S2+dixE2I1OIQGNIC3RkaHafXZaa0+U/uXvtLhHwAAAL2RY6lv8uTJCggI0DfffKNZs2ZJkjZs2KC0tLQ+3RxNag4H7d0XRzgAfDM6Nlx3zZ+qSpe7aenrYLbSAwAAQC/mWNgODQ3VWWedpTvuuEN33nmnCgsL9eSTT2rNmjVOlWQrwgFgLz47AAAA6EscXc+8ePFi3XHHHbrooosUERGha665Rj/+8Y+dLMlWhAMAAAAAGJgcDduhoaG6++67dffddztZBgAAAAAAturbN0cDAAAAANALEbYBAAAAALAZYRsAAAAAAJsRtgEAAAAAsBlhGwAAAAAAmxG2AQAAAACwGWEbAAAAAACbEbYBAAAAALAZYRsAAAAAAJsRtgEAAAAAsBlhGwAAAAAAmxG2AQAAAACwGWEbAAAAAACbBThdQGdZliVJqqqqcrgSAAAAAMBAsD9/7s+jHemzYbu6ulqSNGfOHIcrAQAAAAAMJNXV1Ro8eHCH1/hZ3kTyXsjj8aiwsFDh4eHy8/NzuhwAAAAAQD9nWZaqq6uVkJCgQYM6viu7z4ZtAAAAAAB6KxqkAQAAAABgM8I2AAAAAAA2I2wDAAAAAGAzwjYAAAAAADYjbAMAAAAAYDPCNgAAAAAANiNsAwAAAABgM8J2F73yyiuaNGlSq6/k5OQ2r//ss890+umnKz09XRdeeKF2797dwxUPTL6+T2eeeWara3/44YcernpgysvL029+8xvNmDFDJ510kv785z+3ey2fJ2f48h7xWXJOSUmJFi5cqFmzZmnu3Ll65ZVX2r32u+++009/+lOlp6dr/vz52rp1aw9WOrD58j5dccUVrT5PH374YQ9WO7DU19fr9NNP1xdffNF0bvfu3frlL3+padOm6dRTT9Unn3zS4RhvvvmmTj75ZKWnp+uqq65SaWlpd5c94NjxPs2aNavVZ6u6urq7Sx9Q2nqfJGnnzp2aOnXqIZ/fZz9LFrqktrbWKiwsbPrKzc215s6da61evbrVtXv37rWmTZtmPfHEE9YPP/xgXXvttdbpp59ueTweByofWHx5n9xut5WWlmatX7++xXMaGhocqHzgOffcc63rrrvOysnJsd577z0rPT3devfdd1tdx+fJOd6+R3yWnOPxeKzzzjvP+ulPf2p9++231gcffGAdfvjh1jvvvNPq2urqauuYY46x7rrrLiszM9NauXKldfTRR1vV1dUOVD6w+PI+WZZlzZ0713r99ddbfJ7q6up6uOqBweVyWVdddZWVlJRkff7555ZlmffrjDPOsG644QYrMzPTeuSRR6z09HRr7969bY6xadMma+rUqdarr75qff/999YFF1xgXXbZZT352+j37Hif8vPzraSkJGvXrl0tPlv8fcI+bb1PlmVZubm51imnnGIlJSV1+Py+/FkibNvskUcesU4++eQ2f/jdf//91gUXXND0fU1NjTV9+vQWf+jQMzp6n3bs2GElJydbLpfLgcoGtrKyMispKcnavn1707mrr77aWr58eatr+Tw5w5f3iM+SczZv3tz0l8f9/vSnP1nnnntuq2tffPFF66STTmr6i6XH47Hmzp1rvfzyyz1W70Dly/tUV1dnTZ482crOzu7JEgekjIwM68wzz7TOOOOMFuHgs88+s6ZNm9biH6Iuuugi64EHHmhznJtuusm6+eabm77Pzc21Jk2a1OL9RufZ9T59+umn1jHHHNMjNQ9E7b1P7733nnXkkUc2ne9IX/4ssYzcRmVlZXrsscd0ww03KCgoqNXjmzZt0qxZs5q+Dw0NVWpqqr755pserBKHep8yMzM1bNgwBQcHO1DdwBYSEqLQ0FC98soramhoUHZ2tjZu3KjJkye3upbPkzN8eY/4LDln9+7diomJ0ahRo5rOTZo0SVu3blVDQ0OLazdt2qSZM2fKz89PkuTn56cZM2bwWeoBvrxP2dnZ8vPza3Etusf69et1xBFH6IUXXmhxftOmTUpJSVFYWFjTuZkzZ7b7WTn459SwYcM0fPhwbdq0qVvqHmjsep8yMzM1duzY7ix1QGvvffroo4907bXXasmSJYccoy9/lgKcLqA/ee6555SQkKB58+a1+XhRUZESEhJanIuNjVV+fn5PlIf/OtT7lJWVpcDAQP3mN7/R1q1bNXbsWC1atMir+0nQNcHBwVq2bJlWrlypv/zlL2psbNQ555yjn/70p62u5fPkDF/eIz5LzomLi1NlZaVqa2sVGhoqScrPz5fb7VZlZaViYmKari0qKtKECRNaPD82NlYZGRk9WvNA5Mv7lJ2drYiICC1atEjr16/X0KFDdc0112jOnDlOld9v/fznP2/zvK8/dwoLC/k51Y3sep+ysrJUW1urBQsWKCcnR5MnT9att95KALdJe+/TqlWrJKnVPdxt6cufJWa2bWJZll588UVdcMEF7V5TW1vbaiY1KChI9fX13V0e/sub9yknJ0fl5eX66U9/qkcffVTjx4/XRRddpLy8vB6sdODKysrSiSeeqBdeeEFr1qzR22+/rX/84x+truPz5Bxv3yM+S85JT09XQkKCVq5cqZqaGu3cuVNPPfWUJLWaMeWz5Bxf3qfs7Gy5XC4de+yxevzxxzVnzhxdccUV2rJlixOlD0i+flZcLhefLQf4+j5lZ2ervLxcV1xxhR566CGFhITol7/8paqqqnqiXHihL3+WmNm2yZYtW1RQUKDTTjut3WuCg4Nb/aGor69XZGRkd5eH//LmfVq5cqVcLpciIiIkSXfccYc2btyo119/XZdffnlPlTog/ec//9FLL72kjz/+WCEhIUpLS1NBQYEefvhhnXnmmS2u5fPkDF/eIz5LzgkODtb999+v6667TjNnzlRsbKx+/etfa82aNU3vx4HXtvVZCgkJ6cmSByRf3qcrr7xSCxYs0JAhQyRJycnJ+vbbb/X3v/9daWlpTpQ/4AQHB6usrKzFuY4+K+19tvavYkD38PV9euKJJ9TQ0KDw8HBJ0r333qs5c+boww8/1BlnnNHd5cILffmzxMy2TdatW6dZs2Y1/RBsS2JiooqLi1ucKy4uVnx8fHeXh//y5n0KCAho8ZccPz8/jRs3TgUFBT1R4oC2detWjR49usUPxJSUFOXm5ra6ls+TM3x5j/gsOWvq1Kn64IMP9O9//1sfffSRxo4dq+jo6Ka/UO7X3mfp4CV76B7evk+DBg1q9bOLz1PP8vWzws8pZ/j6PgUFBbX4vAUHB2vkyJF8tnqRvvxZImzbZPPmzZoxY0aH16Snp2vDhg1N39fW1uq7775Tenp6d5eH//LmfVqwYIEefPDBpu89Ho+2b9+ucePGdXd5A15CQoJ27tzZ4l8vs7OzNXLkyFbX8nlyhi/vEZ8l55SVlen888/Xvn37FB8fr4CAAH300UeaPXt2q2vT09P19ddfy7IsSeZ2m40bN/JZ6gG+vE+33HKLFi9e3OLctm3b+Dz1oPT0dH377bdyuVxN5zZs2NDuZ+Xgn1N5eXnKy8vjs9XNfHmfLMvSySef3GJ/+/23dPDZ6j368meJsG2TjIyMVg1mGhsbVVRU1PSX0vnz52vjxo169NFHlZGRocWLF2vkyJE64ogjnCh5QPLmfTrppJP05z//We+//76ys7O1YsUKVVZW6uyzz3ai5AHlpJNOUmBgoJYuXaqcnBx98MEHeuSRR7RgwQI+T72EL+8RnyXnREVFqaamRmvXrtXu3bv14osv6uWXX9avf/1rSaaB0P6/iM6bN08VFRVavXq1MjMztXr1atXW1ur//b//5+RvYUDw5X066aST9MYbb+i1117Tzp079eCDD2rDhg0d9iCBvWbPnq1hw4Zp8eLFysjI0KOPPqrNmzfrJz/5iSSzrLWoqEiNjY2SpPPPP1+vv/66XnzxRW3btk2LFi3SCSecQEf5bubL++Tn56cTTjhBf/jDH/TFF18oIyNDixYt0tChQ2k+6KB+9VlydOOxfiQtLc3697//3eLc7t27W23e/tFHH1k//vGPralTp1oXXXRRn9gfrj/x5n3yeDzWww8/bJ1wwgnWlClTrF/84hct9hRG98rIyLB++ctfWjNmzLBOPvlk66mnnrI8Hg+fp17E2/eIz5KzsrKyrAsuuMBKT0+3TjvtNOuDDz5oeiwpKanFPtqbNm2yzjrrLCstLc36yU9+Yn377bdOlDwg+fI+/f3vf7d+/OMfW1OmTLHOPvtsa/369U6UPKAc/HNnx44d1i9+8QtrypQp1mmnnWZ9+umnTY99/vnnVlJSkrV79+6mcy+//LI1Z84ca9q0adZVV11llZaW9mj9A0VX3ieXy2WtWbPGOuaYY6z09HTrN7/5jZWbm9vjv4eB4OD3ybKa34+2zvWHz5KfZf133RgAAAAAALAFy8gBAAAAALAZYRsAAAAAAJsRtgEAAAAAsBlhGwAAAAAAmxG2AQAAAACwGWEbAAAAAACbEbYBAAAAALAZYRsAAAAAAJsRtgEAAAAAsBlhGwAAAAAAmxG2AQAAAACwGWEbAIABYs+ePZo0aZLeffddnXzyyUpLS9NvfvMblZWVOV0aAAD9DmEbAIAB5pFHHtF9992nv/71r9qyZYueeuopp0sCAKDfCXC6AAAA0LMWLlyoqVOnSpLOOOMMbdmyxeGKAADof5jZBgBggBk9enTTcUREhBoaGhysBgCA/omwDQDAABMYGOh0CQAA9HuEbQAAAAAAbEbYBgAAAADAZoRtAAAAAABs5mdZluV0EQAAAAAA9CfMbAMAAAAAYDPCNgAAAAAANiNsAwAAAABgM8I2AAAAAAA2I2wDAAAAAGAzwjYAAAAAADYjbAMAAAAAYDPCNgAAAAAANiNsAwAAAABgM8I2AAAAAAA2I2wDAAAAAGCz/w/yKr5PeZuG3gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12, 6))\n",
"sns.scatterplot(data=exhaustive_data, x='n', y='time', ax=ax)\n",
"sns.lineplot(data=exhaustive_data, x='n', y='time', errorbar='sd', color='red', ax=ax)\n",
"plt.title('Running time')\n",
"plt.xlabel('n')\n",
"plt.ylabel('Time (s)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Theoretically, the ratio of \"the time taken for a graph of size $n$\" to $n!$ should approach a constant, as $n$ gets larger and larger. Let us check and estimate this constant."
]
},
{
"cell_type": "code",
"execution_count": 14,
"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>time</th>\n",
" <th>time/n!</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.001809</td>\n",
" <td>3.589444e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.014094</td>\n",
" <td>3.495486e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.072518</td>\n",
" <td>1.998415e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>1.159427</td>\n",
" <td>3.195071e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11.0</th>\n",
" <td>6.325944</td>\n",
" <td>1.584782e-07</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time time/n!\n",
"n \n",
"7.0 0.001809 3.589444e-07\n",
"8.0 0.014094 3.495486e-07\n",
"9.0 0.072518 1.998415e-07\n",
"10.0 1.159427 3.195071e-07\n",
"11.0 6.325944 1.584782e-07"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exhaustive_data['time/n!'] = exhaustive_data['time']/exhaustive_data['n'].transform(int).transform(factorial)\n",
"exhaustive_data.groupby('n').mean()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n', ylabel='time/n!'>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<Figure size 1600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ratio = plt.subplots(figsize=(16, 4))\n",
"sns.scatterplot(data=exhaustive_data, x='n', y='time/n!', alpha=0.3, ax=ratio, color='#777') # actual data\n",
"sns.lineplot (data=exhaustive_data, x='n', y='time/n!', alpha=0.3, errorbar='sd', ax=ratio, color='red') # mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Discussion"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Exhaustive search exhibits combinatorial running time $O(n!)$:\n",
"* So it is only useful/possible when $n$ is small, up to about 13 on the current machine if it needs to finish within an hour."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3.2) Approximation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.1) Greedy search"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nearest neigbours"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Idea\n",
"\n",
"Start at city 0, move to the nearest city, then from there to the next nearest city, and so on, until all cities are visited. Finally, return back to the start city."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Pseudocode\n",
"\n",
"1. $city \\gets 0$\n",
"2. $visited\\gets []$\n",
"3. **while** not all cities are visited **do**\n",
"4. $\\quad$ $nearest\\_city \\gets \\text{nearest city to $city$ that has not been visited yet}$\n",
"5. $\\quad$ Append $city$ to $visited$ $\\qquad\\qquad\\text{(i.e. mark $city$ as visited)}$\n",
"5. $\\quad$ $city\\gets nearest\\_city$\n",
"6. **end while**\n",
"8. **return** $visited$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Running time analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The while-loop costs $O(n)$, and searching for the nearest city on line 4 costs $O(n)$ also, while the rest can be assumed to cost $O(1)$.\n",
"So the total cost of this greedy approach is therefore $O(n)\\times O(n) = O(n^2)$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Implementation"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def greedy_nearest_neighbour(G):\n",
" ''' Returns best found cycle and its cost '''\n",
" unvisited = G.vertices.copy()\n",
" visited = [] # solution to be built\n",
" city = 0 # Start city\n",
" while len(unvisited)>0:\n",
" # Find nearest neighbour\n",
" nearest_city = None\n",
" shortest_distance = oo\n",
" for neighbour in unvisited:\n",
" if G[city][neighbour] < shortest_distance:\n",
" shortest_distance = G[city][neighbour]\n",
" nearest_city = neighbour\n",
" # Update 'cycle' and 'cities' and G then 'city'\n",
" visited.append(city)\n",
" unvisited.remove(city)\n",
" city = nearest_city\n",
" return (visited, cost(G, visited+[0]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Example"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5x5 easy graph:\n"
]
},
{
"data": {
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" <td>1</td>\n",
" <td>2</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4\n",
"0 2 2 2 1 1\n",
"1 2 2 1 1 2\n",
"2 2 1 2 2 1\n",
"3 1 1 2 2 2\n",
"4 1 2 1 2 2"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([0, 3, 1, 2, 4], 5)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G=Graph(5,'easy')\n",
"show(G)\n",
"draw(G)\n",
"greedy_nearest_neighbour(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Test time and quality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us first test the greedy approach on **cycle graphs**, as it should work perfectly all the time."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 20 30 40 50 60 70 80 90 100 "
]
}
],
"source": [
"MAX_REPETITIONS = 500\n",
"\n",
"greedy_data = pd.DataFrame(columns=['n','time'])\n",
"\n",
"i = 0\n",
"for n in range(10,101,10):\n",
" print(n, end=' ')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" G = Graph(n,'easy') # this has shortest cycle length = n\n",
" t0 = perf_counter()\n",
" cycle, length = greedy_nearest_neighbour(G)\n",
" t1 = perf_counter()\n",
" greedy_data.loc[i] = [n, t1-t0]\n",
" i += 1"
]
},
{
"cell_type": "code",
"execution_count": 19,
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"4\" halign=\"left\">time</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>0.000009</td>\n",
" <td>0.000033</td>\n",
" <td>0.000011</td>\n",
" <td>0.000004</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20.0</th>\n",
" <td>0.000019</td>\n",
" <td>0.000091</td>\n",
" <td>0.000024</td>\n",
" <td>0.000009</td>\n",
" </tr>\n",
" <tr>\n",
" <th>30.0</th>\n",
" <td>0.000034</td>\n",
" <td>0.000202</td>\n",
" <td>0.000045</td>\n",
" <td>0.000023</td>\n",
" </tr>\n",
" <tr>\n",
" <th>40.0</th>\n",
" <td>0.000054</td>\n",
" <td>0.000320</td>\n",
" <td>0.000073</td>\n",
" <td>0.000037</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50.0</th>\n",
" <td>0.000079</td>\n",
" <td>0.000469</td>\n",
" <td>0.000094</td>\n",
" <td>0.000029</td>\n",
" </tr>\n",
" <tr>\n",
" <th>60.0</th>\n",
" <td>0.000106</td>\n",
" <td>0.000366</td>\n",
" <td>0.000130</td>\n",
" <td>0.000041</td>\n",
" </tr>\n",
" <tr>\n",
" <th>70.0</th>\n",
" <td>0.000144</td>\n",
" <td>0.000479</td>\n",
" <td>0.000167</td>\n",
" <td>0.000048</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80.0</th>\n",
" <td>0.000181</td>\n",
" <td>0.000656</td>\n",
" <td>0.000218</td>\n",
" <td>0.000074</td>\n",
" </tr>\n",
" <tr>\n",
" <th>90.0</th>\n",
" <td>0.000224</td>\n",
" <td>0.000717</td>\n",
" <td>0.000264</td>\n",
" <td>0.000062</td>\n",
" </tr>\n",
" <tr>\n",
" <th>100.0</th>\n",
" <td>0.000271</td>\n",
" <td>0.001234</td>\n",
" <td>0.000322</td>\n",
" <td>0.000109</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time \n",
" min max mean std\n",
"n \n",
"10.0 0.000009 0.000033 0.000011 0.000004\n",
"20.0 0.000019 0.000091 0.000024 0.000009\n",
"30.0 0.000034 0.000202 0.000045 0.000023\n",
"40.0 0.000054 0.000320 0.000073 0.000037\n",
"50.0 0.000079 0.000469 0.000094 0.000029\n",
"60.0 0.000106 0.000366 0.000130 0.000041\n",
"70.0 0.000144 0.000479 0.000167 0.000048\n",
"80.0 0.000181 0.000656 0.000218 0.000074\n",
"90.0 0.000224 0.000717 0.000264 0.000062\n",
"100.0 0.000271 0.001234 0.000322 0.000109"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_data.groupby('n').agg(['min','max','mean','std'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We estimated above that the time for this method will scale like $O(n^2)$, so if we expect a graph $y=c\\cdot x^2$. If we take logarithms of both sides then we get $\\log y = 2\\log x+\\log c$. So, wif we use a log-log plot then we should expect a straight line. Let us check this."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,5))\n",
"sns.scatterplot(data=greedy_data, x='n', y='time', alpha=0.1, color='#777') # actual data\n",
"sns.lineplot(data=greedy_data, x='n', y='time', errorbar='sd', color='red') # mean\n",
"plt.xscale('log')\n",
"plt.yscale('log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us estimate the slope of the mean line."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"MAX_REPETITIONS = 500\n",
"\n",
"greedy_data2 = pd.DataFrame(columns=['n','time'])\n",
"\n",
"for n in range(10,101,10):\n",
" greedy_data2.loc[n] = [n, n**3]\n",
"plt.figure(figsize=(15,5))\n",
"sns.scatterplot(data=greedy_data, x='n', y='time', color='#777') # actual data\n",
"sns.scatterplot(data=greedy_data2, x='n', y='time', color='#777') # actual data\n",
"sns.lineplot(data=greedy_data, x='n', y='time', errorbar='sd', color='red') # mean\n",
"plt.xscale('log')\n",
"plt.yscale('log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That is pretty close to 2!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Symmetric"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us next see what happens with **symmetric graphs**. This time we will compare it against the exhaustive search to see if it is accurate."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2..............................3..............................4..............................5..............................6..............................7..............................8..............................9..............................10.............................."
]
}
],
"source": [
"MAX_REPETITIONS = 30\n",
"\n",
"greedy_sym_data = pd.DataFrame(columns=['n','time','quality'])\n",
"\n",
"i = 0\n",
"for n in range(2,MAX_n):\n",
" print(n, end='')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" print('.', end='')\n",
" G = Graph(n,'symmetric')\n",
" # Solve exactly\n",
" actual_shortest_length = exhaustive_search(G)[1]\n",
" # Solve with Greedy\n",
" t0 = perf_counter()\n",
" cycle, greedy_length = greedy_nearest_neighbour(G)\n",
" t1 = perf_counter()\n",
" # Collect data\n",
" greedy_sym_data.loc[i] = [n, t1-t0, (greedy_length/actual_shortest_length-1)*100]\n",
" i += 1"
]
},
{
"cell_type": "code",
"execution_count": 23,
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"3\" halign=\"left\">time</th>\n",
" <th colspan=\"3\" halign=\"left\">quality</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000008</td>\n",
" <td>0.000004</td>\n",
" <td>0.0</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3.0</th>\n",
" <td>0.000004</td>\n",
" <td>0.000006</td>\n",
" <td>0.000004</td>\n",
" <td>0.0</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4.0</th>\n",
" <td>0.000004</td>\n",
" <td>0.000014</td>\n",
" <td>0.000005</td>\n",
" <td>0.0</td>\n",
" <td>60.563380</td>\n",
" <td>4.646441</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5.0</th>\n",
" <td>0.000005</td>\n",
" <td>0.000014</td>\n",
" <td>0.000007</td>\n",
" <td>0.0</td>\n",
" <td>115.789474</td>\n",
" <td>13.135516</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6.0</th>\n",
" <td>0.000005</td>\n",
" <td>0.000010</td>\n",
" <td>0.000006</td>\n",
" <td>0.0</td>\n",
" <td>51.369863</td>\n",
" <td>11.080261</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.000006</td>\n",
" <td>0.000030</td>\n",
" <td>0.000008</td>\n",
" <td>0.0</td>\n",
" <td>93.333333</td>\n",
" <td>16.120370</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.000007</td>\n",
" <td>0.000035</td>\n",
" <td>0.000012</td>\n",
" <td>0.0</td>\n",
" <td>55.782313</td>\n",
" <td>17.867370</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.000009</td>\n",
" <td>0.000038</td>\n",
" <td>0.000015</td>\n",
" <td>0.0</td>\n",
" <td>69.154229</td>\n",
" <td>24.979391</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>0.000014</td>\n",
" <td>0.000036</td>\n",
" <td>0.000020</td>\n",
" <td>0.0</td>\n",
" <td>86.666667</td>\n",
" <td>33.833097</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time quality \n",
" min max mean min max mean\n",
"n \n",
"2.0 0.000003 0.000008 0.000004 0.0 0.000000 0.000000\n",
"3.0 0.000004 0.000006 0.000004 0.0 0.000000 0.000000\n",
"4.0 0.000004 0.000014 0.000005 0.0 60.563380 4.646441\n",
"5.0 0.000005 0.000014 0.000007 0.0 115.789474 13.135516\n",
"6.0 0.000005 0.000010 0.000006 0.0 51.369863 11.080261\n",
"7.0 0.000006 0.000030 0.000008 0.0 93.333333 16.120370\n",
"8.0 0.000007 0.000035 0.000012 0.0 55.782313 17.867370\n",
"9.0 0.000009 0.000038 0.000015 0.0 69.154229 24.979391\n",
"10.0 0.000014 0.000036 0.000020 0.0 86.666667 33.833097"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_sym_data.groupby('n').agg(['min','max','mean'])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,5))\n",
"sns.scatterplot(data=greedy_sym_data, x='n', y='time', alpha=0.3, color='#777') # actual data\n",
"sns.lineplot(data=greedy_sym_data, x='n', y='time', errorbar='sd', color='red') # mean\n",
"plt.xscale('log')\n",
"plt.yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n', ylabel='quality'>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,5))\n",
"sns.scatterplot(data=greedy_sym_data, x='n', y='quality', alpha=0.3, color='#777') # actual data\n",
"sns.lineplot(data=greedy_sym_data, x='n', y='quality', errorbar='sd', color='green') # mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Euclidean graphs**"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2..............................3..............................4..............................5..............................6..............................7..............................8..............................9..............................10.............................."
]
}
],
"source": [
"MAX_REPETITIONS = 30\n",
"\n",
"greedy_euc_data = pd.DataFrame(columns=['n','time','quality'])\n",
"\n",
"i = 0\n",
"for n in range(2,MAX_n):\n",
" print(n, end='')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" print('.', end='')\n",
" G = Graph(n,'Euclidean')\n",
" # Solve exactly\n",
" actual_shortest_length = exhaustive_search(G)[1]\n",
" # Solve with Greedy\n",
" t0 = perf_counter()\n",
" cycle, greedy_length = greedy_nearest_neighbour(G)\n",
" t1 = perf_counter()\n",
" # Collect data\n",
" greedy_euc_data.loc[i] = [n, t1-t0, (greedy_length/actual_shortest_length-1)*100]\n",
" i += 1"
]
},
{
"cell_type": "code",
"execution_count": 27,
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"3\" halign=\"left\">time</th>\n",
" <th colspan=\"3\" halign=\"left\">quality</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000005</td>\n",
" <td>0.000003</td>\n",
" <td>0.0</td>\n",
" <td>0.000000e+00</td>\n",
" <td>0.000000e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000004</td>\n",
" <td>0.000003</td>\n",
" <td>0.0</td>\n",
" <td>2.220446e-14</td>\n",
" <td>2.220446e-15</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000009</td>\n",
" <td>0.000004</td>\n",
" <td>0.0</td>\n",
" <td>1.832692e+01</td>\n",
" <td>3.058411e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5.0</th>\n",
" <td>0.000004</td>\n",
" <td>0.000007</td>\n",
" <td>0.000005</td>\n",
" <td>0.0</td>\n",
" <td>2.891334e+01</td>\n",
" <td>5.831816e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6.0</th>\n",
" <td>0.000005</td>\n",
" <td>0.000010</td>\n",
" <td>0.000006</td>\n",
" <td>0.0</td>\n",
" <td>2.086809e+01</td>\n",
" <td>4.018516e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.000006</td>\n",
" <td>0.000024</td>\n",
" <td>0.000007</td>\n",
" <td>0.0</td>\n",
" <td>2.081964e+01</td>\n",
" <td>5.394659e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.000006</td>\n",
" <td>0.000021</td>\n",
" <td>0.000008</td>\n",
" <td>0.0</td>\n",
" <td>3.925787e+01</td>\n",
" <td>1.119533e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.000008</td>\n",
" <td>0.000028</td>\n",
" <td>0.000012</td>\n",
" <td>0.0</td>\n",
" <td>3.029684e+01</td>\n",
" <td>8.699010e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>0.000011</td>\n",
" <td>0.000029</td>\n",
" <td>0.000016</td>\n",
" <td>0.0</td>\n",
" <td>3.794712e+01</td>\n",
" <td>8.882346e+00</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time quality \n",
" min max mean min max mean\n",
"n \n",
"2.0 0.000003 0.000005 0.000003 0.0 0.000000e+00 0.000000e+00\n",
"3.0 0.000003 0.000004 0.000003 0.0 2.220446e-14 2.220446e-15\n",
"4.0 0.000003 0.000009 0.000004 0.0 1.832692e+01 3.058411e+00\n",
"5.0 0.000004 0.000007 0.000005 0.0 2.891334e+01 5.831816e+00\n",
"6.0 0.000005 0.000010 0.000006 0.0 2.086809e+01 4.018516e+00\n",
"7.0 0.000006 0.000024 0.000007 0.0 2.081964e+01 5.394659e+00\n",
"8.0 0.000006 0.000021 0.000008 0.0 3.925787e+01 1.119533e+01\n",
"9.0 0.000008 0.000028 0.000012 0.0 3.029684e+01 8.699010e+00\n",
"10.0 0.000011 0.000029 0.000016 0.0 3.794712e+01 8.882346e+00"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_euc_data.groupby('n').agg(['min','max','mean'])"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n', ylabel='quality'>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,5))\n",
"sns.scatterplot(data=greedy_euc_data, x='n', y='quality', alpha=0.3, color='#777') # actual data\n",
"sns.lineplot(data=greedy_euc_data, x='n', y='quality', errorbar='sd', color='green') # mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Asymmetric"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2..............................3..............................4..............................5..............................6..............................7..............................8..............................9..............................10.............................."
]
}
],
"source": [
"MAX_REPETITIONS = 30\n",
"\n",
"greedy_asym_data = pd.DataFrame(columns=['n','time','quality'])\n",
"\n",
"i = 0\n",
"for n in range(2,MAX_n):\n",
" print(n, end='')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" print('.', end='')\n",
" G = Graph(n,'asymmetric')\n",
" # Solve exactly\n",
" actual_shortest_length = exhaustive_search(G)[1]\n",
" # Solve with Greedy\n",
" t0 = perf_counter()\n",
" cycle, greedy_length = greedy_nearest_neighbour(G)\n",
" t1 = perf_counter()\n",
" # Collect data\n",
" greedy_asym_data.loc[i] = [n, t1-t0, (greedy_length/actual_shortest_length-1)*100]\n",
" i += 1"
]
},
{
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"3\" halign=\"left\">time</th>\n",
" <th colspan=\"3\" halign=\"left\">quality</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000008</td>\n",
" <td>0.000003</td>\n",
" <td>0.0</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3.0</th>\n",
" <td>0.000003</td>\n",
" <td>0.000004</td>\n",
" <td>0.000004</td>\n",
" <td>0.0</td>\n",
" <td>146.753247</td>\n",
" <td>16.019041</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4.0</th>\n",
" <td>0.000004</td>\n",
" <td>0.000006</td>\n",
" <td>0.000004</td>\n",
" <td>0.0</td>\n",
" <td>101.639344</td>\n",
" <td>18.488705</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5.0</th>\n",
" <td>0.000005</td>\n",
" <td>0.000030</td>\n",
" <td>0.000006</td>\n",
" <td>0.0</td>\n",
" <td>94.949495</td>\n",
" <td>31.721397</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6.0</th>\n",
" <td>0.000005</td>\n",
" <td>0.000009</td>\n",
" <td>0.000006</td>\n",
" <td>0.0</td>\n",
" <td>168.604651</td>\n",
" <td>39.910418</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.000006</td>\n",
" <td>0.000009</td>\n",
" <td>0.000007</td>\n",
" <td>0.0</td>\n",
" <td>94.852941</td>\n",
" <td>31.302491</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.000007</td>\n",
" <td>0.000011</td>\n",
" <td>0.000008</td>\n",
" <td>0.0</td>\n",
" <td>95.145631</td>\n",
" <td>40.831814</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.000009</td>\n",
" <td>0.000027</td>\n",
" <td>0.000012</td>\n",
" <td>0.0</td>\n",
" <td>120.000000</td>\n",
" <td>47.074081</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>0.000014</td>\n",
" <td>0.000021</td>\n",
" <td>0.000017</td>\n",
" <td>0.0</td>\n",
" <td>161.111111</td>\n",
" <td>61.670116</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time quality \n",
" min max mean min max mean\n",
"n \n",
"2.0 0.000003 0.000008 0.000003 0.0 0.000000 0.000000\n",
"3.0 0.000003 0.000004 0.000004 0.0 146.753247 16.019041\n",
"4.0 0.000004 0.000006 0.000004 0.0 101.639344 18.488705\n",
"5.0 0.000005 0.000030 0.000006 0.0 94.949495 31.721397\n",
"6.0 0.000005 0.000009 0.000006 0.0 168.604651 39.910418\n",
"7.0 0.000006 0.000009 0.000007 0.0 94.852941 31.302491\n",
"8.0 0.000007 0.000011 0.000008 0.0 95.145631 40.831814\n",
"9.0 0.000009 0.000027 0.000012 0.0 120.000000 47.074081\n",
"10.0 0.000014 0.000021 0.000017 0.0 161.111111 61.670116"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_asym_data.groupby('n').agg(['min','max','mean'])"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n', ylabel='quality'>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<Figure size 2500x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (time, quality) = plt.subplots(nrows=1, ncols=2, figsize=(25, 5))\n",
"sns.scatterplot(data=greedy_asym_data, x='n', y='time', alpha=0.3, ax=time, color='#777')\n",
"sns.lineplot(data=greedy_asym_data, x='n', y='time', errorbar='sd', ax=time, color='red')\n",
"time.set(xscale=\"log\", yscale=\"log\")\n",
"sns.scatterplot(data=greedy_asym_data, x='n', y='quality', alpha=0.3, ax=quality, color='#777')\n",
"sns.lineplot(data=greedy_asym_data, x='n', y='quality', errorbar='sd', ax=quality, color='green')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# References"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Garey, S. and Johnson, D. (1979). **Computers and Intractability: A Guide to the Theory of NP-Completeness.** Freeman.\n",
"\n",
"* Hoos, H. and Stutzler, T. (2005). **Stochastic Local Search: Foundations and Applications.** Morgan Kaufmann.\n",
"\n",
"* Sipser, M. (2013). **Introduction to the theory of computation.** (3rd international ed.). Cengage Learning."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.1"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}