Please use python and python file i/o to solve the problem. Create an input file input3_1.txt as shown below, solve the problem and print the output to output3_1.txt file as shown in the question. Task 02 (Graph Traversal Using BFS):You have most probably heard of Dora The Explorer. She likes totravel from one country to another.431 33 214Currently, Dora is at Doraland. Doraland is a beautiful country,consisting of N cities and M bidirectional roads.Recently, Dora has started to learn Graph Algorithms. She knowsabout BFS and DFS. However, since Dora is still learning, she isnot feeling so confident and asks for your help.Dora contacts you and gives you all the necessary informationabout Doraland. Dora will start her journey from city 1. Now,your task will be to help Dora to find a path which is similarto the path of BFS graph traversal.InputThe given map will be an undirected and unweighted graph.The first line contains two integers N and M (1 <= N, M <= 100)the number of cities and the total number of roads.The next M lines will contain two integers u₁, V₁ (1 <= U₁, V₁ <=N) denoting there is a bidirectional road between u, and v₁.OutputPrint the BFS path traversal which Dora will follow to explorethe city, starting from city 1.Sample Input 1Sample Output 11 342(Another valid path:1 4 3 2 )Sample Graph 1 ×4 31 3321 4input3_1.txt

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Answered: Please use python and python file i/o…

Please use python and python file i/o to solve the problem. Create an input file input3_1.txt as shown below, solve the problem and print the output to output3_1.txt file as shown in the question.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter10: Classes And Data Abstraction

Section: Chapter Questions

Problem 23PE

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Solve problem on 79 Project Euler. This is a Graph problem in disguise, so the key is to figure out what is node and what is an edge. In other words, what are the things that have relationships in this problem and what defines their relationships? Once you figure that out, you can use topological sort to solve the problem. Create an account on the site to confirm your answer. You can do this in any language, but a key to solving the problem is finding the indegree of each node. The indegree of a node in a directed graph is the number of edges that have that node as a destination,1 or the number of edges that lead into the node. JUNG has a built in method for graphs to do this. The other thing to keep in mind for JUNG is that you can’t make two edges with the same value. So if you’re using a String to represent edges, you can’t have two edges with the value of "A".
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Problem Statement: Write a program which should create a weighted graph of the values entered by the user and then write functions that perform the following: 1. Depth first search of source and destination vertex 2. Breadth first search of source and destination vertex 3. Shortest path search of source and all destination vertices (Dijkstra's algorithm) 4. Shortest path search of source and destination vertex (Dijkstra's algorithm) The program should present a menu of the options and should run until the user opts to quit.
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