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fix: linter for connected_components.
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@ -15,9 +15,9 @@
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* <pre>
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* Example - Here is graph with 3 connected components
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*
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* 3 9 6 8
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* 1 4 5 8
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* / \ / / \ / \
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* 2---4 2 7 3 7
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* 2---3 6 7 9 10
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*
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* first second third
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* component component component
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@ -26,97 +26,123 @@
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*/
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#include <algorithm>
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#include <cassert>
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#include <iostream>
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#include <vector>
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using std::vector;
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/**
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* Class for representing graph as a adjacency list.
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* @namespace graph
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* @brief Graph Algorithms
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*/
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class graph {
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private:
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/** \brief adj stores adjacency list representation of graph */
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vector<vector<int>> adj;
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/** \brief keep track of connected components */
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int connected_components;
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void depth_first_search();
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void explore(int, vector<bool> &);
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public:
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/**
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* \brief Constructor that intiliazes the graph on creation and set
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* the connected components to 0
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*/
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explicit graph(int n) : adj(n, vector<int>()) { connected_components = 0; }
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void addEdge(int, int);
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/**
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* \brief Function the calculates the connected compoents in the graph
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* by performing the depth first search on graph
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*
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* @return connected_components total connected components in graph
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*/
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int getConnectedComponents() {
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depth_first_search();
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return connected_components;
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}
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};
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namespace graph {
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/**
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* \brief Function that add edge between two nodes or vertices of graph
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* @brief Function that add edge between two nodes or vertices of graph
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*
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* @param u any node or vertex of graph
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* @param v any node or vertex of graph
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* @param adj adjacency list of graph.
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* @param u any node or vertex of graph.
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* @param v any node or vertex of graph.
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*/
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void graph::addEdge(int u, int v) {
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adj[u - 1].push_back(v - 1);
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adj[v - 1].push_back(u - 1);
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void addEdge(std::vector<std::vector<int>> *adj, int u, int v) {
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(*adj)[u - 1].push_back(v - 1);
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(*adj)[v - 1].push_back(u - 1);
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}
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/**
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* \brief Function that perfoms depth first search algorithm on graph
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* @brief Utility function for depth first seach algorithm
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* this function explores the vertex which is passed into.
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*
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* @param adj adjacency list of graph.
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* @param u vertex or node to be explored.
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* @param visited already visited vertices.
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*/
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void graph::depth_first_search() {
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int n = adj.size();
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vector<bool> visited(n, false);
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void explore(const std::vector<std::vector<int>> *adj, int u,
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std::vector<bool> *visited) {
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(*visited)[u] = true;
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for (auto v : (*adj)[u]) {
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if (!(*visited)[v]) {
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explore(adj, v, visited);
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}
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}
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}
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/**
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* @brief Function that perfoms depth first search algorithm on graph
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* and calculated the number of connected components.
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*
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* @param adj adjacency list of graph.
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*
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* @return connected_components number of connected components in graph.
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*/
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int getConnectedComponents(const std::vector<std::vector<int>> *adj) {
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int n = adj->size();
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int connected_components = 0;
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std::vector<bool> visited(n, false);
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for (int i = 0; i < n; i++) {
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if (!visited[i]) {
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explore(i, visited);
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explore(adj, i, &visited);
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connected_components++;
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}
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}
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return connected_components;
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}
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/**
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* \brief Utility function for depth first seach algorithm
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* this function explores the vertex which is passed into.
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*
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* @param u vertex or node to be explored
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* @param visited already visited vertex
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*/
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void graph::explore(int u, vector<bool> &visited) {
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visited[u] = true;
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for (auto v : adj[u]) {
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if (!visited[v]) {
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explore(v, visited);
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}
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}
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} // namespace graph
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/** Function to test the algorithm */
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void tests() {
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std::cout << "Running predefined tests..." << std::endl;
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std::cout << "Initiating Test 1..." << std::endl;
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std::vector<std::vector<int>> adj1(9, std::vector<int>());
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graph::addEdge(&adj1, 1, 2);
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graph::addEdge(&adj1, 1, 3);
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graph::addEdge(&adj1, 3, 4);
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graph::addEdge(&adj1, 5, 7);
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graph::addEdge(&adj1, 5, 6);
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graph::addEdge(&adj1, 8, 9);
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assert(graph::getConnectedComponents(&adj1) == 3);
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std::cout << "Test 1 Passed..." << std::endl;
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std::cout << "Innitiating Test 2..." << std::endl;
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std::vector<std::vector<int>> adj2(10, std::vector<int>());
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graph::addEdge(&adj2, 1, 2);
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graph::addEdge(&adj2, 1, 3);
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graph::addEdge(&adj2, 1, 4);
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graph::addEdge(&adj2, 2, 3);
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graph::addEdge(&adj2, 3, 4);
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graph::addEdge(&adj2, 4, 8);
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graph::addEdge(&adj2, 4, 10);
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graph::addEdge(&adj2, 8, 10);
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graph::addEdge(&adj2, 8, 9);
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graph::addEdge(&adj2, 5, 7);
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graph::addEdge(&adj2, 5, 6);
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graph::addEdge(&adj2, 6, 7);
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assert(graph::getConnectedComponents(&adj2) == 2);
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std::cout << "Test 2 Passed..." << std::endl;
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}
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/** Main function */
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int main() {
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/// creating a graph with 4 vertex
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graph g(4);
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/// running predefined tests
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tests();
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/// Adding edges between vertices
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g.addEdge(1, 2);
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g.addEdge(3, 2);
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int vertices = int(), edges = int();
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std::cout << "Enter the number of vertices : ";
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std::cin >> vertices;
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std::cout << "Enter the number of edges : ";
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std::cin >> edges;
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/// printing the connected components
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std::cout << g.getConnectedComponents();
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std::vector<std::vector<int>> adj(vertices, std::vector<int>());
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int u = int(), v = int();
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while (edges--) {
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std::cin >> u >> v;
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graph::addEdge(&adj, u, v);
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}
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int cc = graph::getConnectedComponents(&adj);
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std::cout << cc << std::endl;
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return 0;
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}
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