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QuestionAnswered step-by-stepFor instance, the accompanying weighted coordinated diagram has…For instance, the accompanying weighted coordinated diagram has five hubs { A, B, C, D, E } and seven edges { (A, B), (A, C), (B, E), (C, D), (D, A), (D, C), (D, E)}. Hub C has a load of 400, and its occurrence edges: (A, C) has the heaviness of 9; (D, C) has the heaviness of 7; (C, D) has the heaviness of 4.?mage transcription text3.77. Prove that f (x) = exp (-x ) isunifonly 3.78. For x in R, let f(x) = exp(-x2) sin x and g(x) = exp(… Show moreThe class should offer a sensibly compelling set-up of tasks. A few (yet not all) of essential activities are:?dding and eliminating hubs and edges (with loads);?rofundity first and broadness first crossings;?iguring a tree established by the given vertex (the tree may not contain all vertices of the chart);?re-request, all together, and post-request crossings of the tree;?ther than the abovementioned, the class should offer an activity to settle the accompanying open inquiry:?hink about every hub as a twitter client, the hub’s weight as the quantity of supporters of the client, and the heaviness of each coordinated edge as how frequently a client loved another client. For instance, in the above chart, An and C have 800 and 400 supporters, separately; A preferred C multiple times while C never loved A. Would you be able to figure out how to survey the significance or prominence of the clients, to rank the clients in plunging request? Note that no single most fitting answer might exist to this inquiry.?ou need to painstakingly consider:?egardless of whether it is important to announce different classes separated from the directed_graph class.?he Code?ou are given a directed_graph.hpp document, which incorporates most (if not the entirety) of the fundamental definitions you will require. You made add additional techniques, classes, structs, and so forth, as long as they don’t meddle with the current definitions.?ou have additionally been given a main.cpp for specially appointed testing purposes. main.cpp document doesn’t shape part of the task, and won’t be checked. You can do anything you like with it. When the “run” button is squeezed, it will gather and run main.cpp. When the “mark” button is squeezed, your code will be run against the tests. Note that the testing code can possibly check your code when your code doesn’t cause a program crash (for example a segfault). On the off chance that you get any mistakes during assembling, ensure you fix that issue first!?ake sure to peruse all the code prior to beginning.?ou have terminal access on the off chance that you so want it.?oordinated Graphs?s the theoretical information structure, and the opportunities for executing it, have been shrouded in the talks. A few pieces of the undertaking might expect you to foster some reasoning in light of the fact that the talks may not promptly give you the arrangement. Try not to spare a moment to pose inquiries in case you are hazy about the assignment necessities.?he directed_graph Class? – – – – – – – – – – – – – – – – – – – – – – – – – – – – – -?keleton Code 😕 – – – – – – – – – – – – – – – – – – – – – – – – – – – – – -?ifndef DIRECTED_GRAPH_H?define DIRECTED_GRAPH_H?include?include?include?include?include?include?include?incorporate more libraries here on the off chance that you need to?tilizing namespace sexually transmitted disease;/the standard namespace are here for good measure.?*?he vertex class?/?ormat ?lass vertex {?ublic:?nt id;? weight;?ertex(int v_id, T v_weight) : id(v_id), weight(v_weight) {}/constructor for the vertex class?add more capacities here on the off chance that you need to?;?*?he diagram class?/?ormat ?lass directed_graph {?rivate:?vertex_weights stores all vertices in the diagram, just as the vertices’ loads?nordered_map> adj_list;?nordered_map vertex_weights;?every component is a pair(id, weight) for a vertex?adj_list stores all edges in the diagram, just as the edges’ loads.?every component is a pair(vertex, the neighbors of this vertex)?each neighbor is additionally a couple (neighbour_vertex, weight for edge from vertex to neighbour_vertex)?You should add a few information individuals here?to really address the diagram inside,?and monitor whatever you need to.?ublic:?irected_graph();/A constructor for directed_graph. The diagram should begin vacant.?directed_graph();/A destructor. Contingent upon how you get things done, this may not be fundamental.?* taking care of vertex */?oid add_vertex(const vertex&);/Adds the passed in vertex to the diagram (without any edges).?oid remove_vertex(const int&);/Removes the given vertex. Should likewise clear any occurrence edges.?ector> get_vertices();/Returns a vector containing all the vertices.?ool contains(const int&) const;/Returns valid if the chart contains the given vertex_id, bogus something else.?* taking care of edge */?oid add_edge(const int&, const int&, const T&);/Adds a weighted edge from the main vertex to the second.?ool adjacent(const int&, const int&) const;/Returns valid if the primary vertex is adjoining the second, bogus something else.?oid remove_edge(const int&, const int&);/Removes the edge between the two vertices, in the event that it exists.?ize_t in_degree(const int&) const;/Returns number of edges coming in to a vertex.?ize_t out_degree(const int&) const;/Returns the quantity of edges leaving a vertex.?ize_t degree(const int&) const;/Returns the level of the vertex (both in edges and out edges).?ize_t num_vertices() const;/Returns the absolute number of vertices in the chart.?ize_t num_edges() const;/Returns the absolute number of edges in the chart.?ector> get_neighbours(const int&);/Returns a vector containing all the vertices reachable from the given vertex. The vertex isn’t viewed as a neighbor of itself.?ector> get_second_order_neighbours(const int&);/Returns a vector containing all the second_order_neighbours (i.e., neighbors of neighbors) of the given vertex.?A vector can’t be considered a second_order_neighbour of itself.?ool reachable(const int&, const int&) const;/Returns valid if the subsequent vertex is reachable from the first (would you be able to follow a way of out-edges to get from the first to the second?). Returns bogus something else.?ool contain_cycles() const;/Return valid if the chart contains cycles (there is a way from any vertices straightforwardly/by implication to itself), bogus something else.?ector> depth_first(const int&);/Returns the vertices of the chart in the request they are visited in by a profundity first crossing beginning at the given vertex.?ector> breadth_first(const int&);/Returns the vertices of the diagram in the request they are visisted in by a broadness first crossing beginning at the given vertex.?irected_graph out_tree(const int&);/Returns a spreading over tree of the chart beginning at the given vertex utilizing the out-edges. This implies each vertex in the tree is reachable from the root.?ector> pre_order_traversal(const int&, directed_graph&);/returns the vertices in the meeting request of a pre-request crossing of the base traversing tree beginning at the given vertex.?ector> in_order_traversal(const int&, directed_graph&);/returns the vertices in the meeting request of an all together crossing of the base traversing tree beginning at the given vertex.?ector> post_order_traversal(const int&, directed_graph&);/returns the vertices in ther visitig request of a post-request crossing of the base traversing tree beginning at the given vertex.?ector> significance_sorting();/Return a vector containing an arranged rundown of the vertices in dropping request of their importance.?;?Define every one of your strategies down here (or move them up into the header, yet be cautious you don’t bend over). Assuming you need to move this into another record, you can, yet you ought to #include the document here.?Although these are only similar names replicated from a higher place, you might track down a couple of more signs in the full strategy headers.?Note likewise that C++ is touchy to the request you announce and characterize things in – you must have it accessible before you use it.?ayout ?irected_graph::directed_graph() {}?ormat ?irected_graph::~directed_graph() {}?ayout ?oid directed_graph::add_vertex(const vertex& u) {?f(!contains(u.id)){?ertex_weights.insert({u.id, u.weight});/stage 1: add the new vertex to all_vertices?dj_list[u.id] = unordered_map();/stage 2: add a section for this vertex in adj_list however add no edge???ayout ?oid directed_graph::remove_vertex(const int& u_id) {/eliminate the vertex, just as every one of the occurrence edges?ertex_weights.erase(u_id);/stage 1: eliminate the vertex from all_vertices?dj_list.erase(u_id);/stage 2: eliminate all edges beginning from this vertex?or (auto& x: adj_list){/Image transcription text9- By creating a memory map (boxes of variables) find out what isthe output of the following codes >>A=final(1,2) whichconsists of one primary function, one sub-function, a… Show moreStep 3: repeat adj_list to eliminate all edges finishing at this vertex?.second.erase(u_id);???ormat ?ector> directed_graph::get_vertices() {?ector> v;?or(auto x: vertex_weights){/repeat vertex_weight to get all vertex_ids?.push_back(vertex(x.first, x.second));/and afterward assemble a vertex class for each vertex_id??eturn v;/return a vector of the vertex classes for all vertex_ids??ormat ?oid directed_graph::add_edge(const int& u_id, const int& v_id, const T& uv_weight) {?f(contains(u_id) && contains(v_id)){/Step 1: ensure both vertices are in the diagram?f(adj_list[u_id].find(v_id)==adj_list[u_id].end()){/Step 2: ensure the edge isn’t now in the diagram?dj_list[u_id].insert({v_id, uv_weight});/Step 3: add this edge to adj_list????ayout ?ector> directed_graph
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