Exercise # 2: Modify getShortestPath (graph, from, to) function so that if there is more than one minimum path from source node to destination node, it gives you the one with the minimum number of edges. Example 1: Input Graph: Adjacency list of the following graph. 7 A 6, 2 3 E D 8, 2 F G 4 From: A To: F or B Output [(A, F)] That is, the distance from A to F is 10 both through the following path A→D→F, AD>C→G→F the correct answer is A>D→F [(A, B)] That is, the distance from A to B is 7 both through the following paths A→B, A→D>C→B the correct answer is A->B
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OOPs
In today's technology-driven world, computer programming skills are in high demand. The object-oriented programming (OOP) approach is very much useful while designing and maintaining software programs. Object-oriented programming (OOP) is a basic programming paradigm that almost every developer has used at some stage in their career.
Constructor
The easiest way to think of a constructor in object-oriented programming (OOP) languages is:
Python3 code required.
Please don't use classes!
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- Exercise # 2: Modify getShortestPath (graph, from, to) function so that if there is more than one minimum path from source node to destination node, it gives you the one with the minimum number of edges. Example 1: Input Graph: Adjacency list of the following graph. 6. 4 From: A To: For B [(A, F)] That is, the distance from A to Fis 10 both through the following path A>D>F, AD>c>G>F Output the correct answer is AD>F ((A, B) That is, the distance from A to B is 7 both through the following paths A>B, AD>c>B the correct answer is ABApplication "networkx" library is used for implementing graphs. Draw a graph using this library in python. (Hint: use 'add_node()", 'add_edge()' functions to draw edges and nodes). Construct the graph shown in figure using python language. Also, plot the graph using matplotlib library, Traverse the graph using DFS, and output the DFS order. 2IN C++ The input to the problem is a collection of n points in the plane. The points have int values.The goal of the traveling salesperson problem is to find the shortest path that visits every point exactly once and returns to the starting point. That is, we are looking for a cycle in the graph that visits each vertex exactly once, such that the total length is as small as possible. Storing the points:You will need to write a class that stores a collection of points. You may use any data structure you want to do it (array, linked list or vector in C++) Print the list of points:Your solution should have a method that prints the list of all points. Your solution should have a method that draws the points on the screen. You will need to implement a heuristic algorithm that finds a solution to the TSP problem
- Exercise # 2 - Detecting Cycle between List of N Airports The following graph is an example from Rosen (2011). It shows the flights and distances between some of the major airports in the United States. Dallas 200 1300 200 Austin Washington Denver 1400 Atlanta 160 800 800 Chicago Houston Write a function that takes a list of N airports and checks if they form a cycle of size N. {A cycle is a directed path that starts and ends at the same vertex. Before writing code, make sure you can identify cycles yourself} >> check_cycles (G, ['Austin','Houston', 'Atlanta','Washington','Dallas'l) Yes >>> check_cycles (G, ['Austin', 'Houston','Atlanta','Washington']) No 600 600 780 0000 000L 006In this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…
- Can you help me with a C++ programming task I am trying to complete for myself please: Write a program (in main.cpp) that: Prompts the user for a filename containing node data. Outputs the minimal spanning tree for a given graph. You will need to implement the createSpanningGraph method in minimalSpanTreeType.h to create the graph and the weight matrix. There are a few tabs: main.cpp, graphType.h, linkedList.h, linkedQueue.h, queueADT.h, minimalSpanTreeType.h, and then two data files labeled: CH20_Ex21Data.txt, CH20Ex4Data.txtthe number of edges in a complete 2 of 2 undirected graph of 80 vertices is.? Select one: a. exactly equals 3160 b. None c. less than or equals 3160 d. less than or equals 6320 e. exactly equals 6320 Assume that you have a doubly link list. Pointer x is pointing to the last node in the link list and pointer y is pointing to before the last node. which of the following will remove the node pointed by x from the list? Select one: O a. delete x; b. y->prev->next = y->next; X->prev= y->prev; delete x; O C. X->prev->next = x->next; y->prev= x->prev; delete x; O d. x->next = y; y->prev = x->prev; delete x;unique please Your task for this assignment is to identify a spanning tree in one connected undirected weighted graph using C++. Implement a spanning tree algorithm using C++. A spanning tree is a subset of the edges of a connected undirected weighted graph that connects all the vertices together, without any cycles. The program is interactive. Graph edges with respective weights (i.e., v1 v2 w) are entered at the command line and results are displayed on the console. Each input transaction represents an undirected edge of a connected weighted graph. The edge consists of two unequal non-negative integers in the range 0 to 9 representing graph vertices that the edge connects. Each edge has an assigned weight. The edge weight is a positive integer in the range 1 to 99. The three integers on each input transaction are separated by space. An input transaction containing the string “end-of-file” signals the end of the graph edge input. After the edge information is read, the process…
- class Dijkstra(): """ A fully connected directed graph with edge weights """ def __init__(self, vertex_count): self.vertex_count = vertex_count self.graph = [[0 for _ in range(vertex_count)] for _ in range(vertex_count)] def min_distance(self, dist, min_dist_set): """ Find the vertex that is closest to the visited set """ min_dist = float("inf") for target in range(self.vertex_count): if min_dist_set[target]: continue if dist[target] < min_dist: min_dist = dist[target] min_index = target return min_index def dijkstra(self, src): """ Given a node, returns the shortest distance to every other node """ dist = [float("inf")] * self.vertex_count dist[src] = 0 min_dist_set = [False] * self.vertex_count for _ in range(self.vertex_count): #minimum distance vertex that is not processed…Help in C++ please: Write a program (in main.cpp) that: Prompts the user for a filename containing node data. Outputs the minimal spanning tree for a given graph. You will need to implement the createSpanningGraph method in minimalSpanTreeType.h to create the graph and the weight matrix. There are a few tabs: main.cpp, graphType.h, linkedList.h, linkedQueue.h, queueADT.h, minimalSpanTreeType.h, and then two data files labeled: CH20_Ex21Data.txt, CH20Ex4Data.txt09.Given a linked list of N nodes such that it may contain a loop. A loop here means that the last node of the link list is connected to the node at position X(1-based index). If the link list does not have any loop, X=0. Remove the loop from the linked list, if it is present, i.e. unlink the last node which is forming the loop. Example 1: Input: N = 3 value[] = {1,3,4} X = 2 Output: 1 Explanation: The link list looks like 1 -> 3 -> 4 ^ | |____|