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https://github.com/TheAlgorithms/C-Plus-Plus.git
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chore: use iwyu on graph/**.cpp
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@@ -2,7 +2,8 @@
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*
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* @file
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* @brief [Depth First Search Algorithm using Stack
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* (Depth First Search Algorithm)](https://en.wikipedia.org/wiki/Depth-first_search)
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* (Depth First Search
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* Algorithm)](https://en.wikipedia.org/wiki/Depth-first_search)
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*
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* @author [Ayaan Khan](http://github.com/ayaankhan98)
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* @author [Saurav Uppoor](https://github.com/sauravUppoor)
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@@ -24,23 +25,26 @@
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* <h4>Working</h4>
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* 1. Mark all vertices as unvisited (colour it WHITE).
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* 2. Push starting vertex into the stack and colour it GREY.
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* 3. Once a node is popped out of the stack and is coloured GREY, we colour it BLACK.
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* 3. Once a node is popped out of the stack and is coloured GREY, we colour it
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* BLACK.
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* 4. Push all its neighbours which are not coloured BLACK.
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* 5. Repeat steps 4 and 5 until the stack is empty.
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*/
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#include <iostream> /// for IO operations
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#include <stack> /// header for std::stack
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#include <vector> /// header for std::vector
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#include <cassert> /// header for preprocessor macro assert()
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#include <limits> /// header for limits of integral types
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#include <stdint.h> // for int16_t, int64_t
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constexpr int WHITE = 0; /// indicates the node hasn't been explored
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constexpr int GREY = 1; /// indicates node is in stack waiting to be explored
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constexpr int BLACK = 2; /// indicates node has already been explored
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#include <cassert> // for assert
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#include <cstddef> // for size_t
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#include <iostream> // for basic_ostream, operator<<, char_traits, cout, endl
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#include <limits> // for numeric_limits
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#include <stack> // for stack
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#include <vector> // for vector, operator==
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constexpr int WHITE = 0; /// indicates the node hasn't been explored
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constexpr int GREY = 1; /// indicates node is in stack waiting to be explored
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constexpr int BLACK = 2; /// indicates node has already been explored
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constexpr int64_t INF = std::numeric_limits<int16_t>::max();
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/**
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* @namespace graph
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* @brief Graph algorithms
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@@ -48,7 +52,8 @@ constexpr int64_t INF = std::numeric_limits<int16_t>::max();
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namespace graph {
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/**
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* @namespace depth_first_search
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* @brief Functions for [Depth First Search](https://en.wikipedia.org/wiki/Depth-first_search) algorithm
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* @brief Functions for [Depth First
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* Search](https://en.wikipedia.org/wiki/Depth-first_search) algorithm
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*/
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namespace depth_first_search {
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/**
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@@ -62,14 +67,14 @@ namespace depth_first_search {
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*
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*/
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void addEdge(std::vector<std::vector<size_t>> *adj, size_t u, size_t v) {
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/*
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*
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* Here we are considering undirected graph that's the
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* reason we are adding v to the adjacency list representation of u
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* and also adding u to the adjacency list representation of v
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*
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*/
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(*adj)[u - 1].push_back(v - 1);
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/*
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*
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* Here we are considering undirected graph that's the
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* reason we are adding v to the adjacency list representation of u
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* and also adding u to the adjacency list representation of v
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*
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*/
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(*adj)[u - 1].push_back(v - 1);
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}
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/**
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@@ -84,7 +89,8 @@ void addEdge(std::vector<std::vector<size_t>> *adj, size_t u, size_t v) {
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* @return vector with nodes stored in the order of DFS traversal
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*
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*/
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std::vector<size_t> dfs(const std::vector<std::vector<size_t> > &graph, size_t start) {
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std::vector<size_t> dfs(const std::vector<std::vector<size_t>> &graph,
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size_t start) {
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/// checked[i] stores the status of each node
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std::vector<size_t> checked(graph.size(), WHITE), traversed_path;
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@@ -121,49 +127,51 @@ std::vector<size_t> dfs(const std::vector<std::vector<size_t> > &graph, size_t s
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* @returns none
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*/
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static void tests() {
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size_t start_pos;
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size_t start_pos;
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/// Test 1
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std::cout << "Case 1: " << std::endl;
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start_pos = 1;
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std::vector<std::vector<size_t> > g1(3, std::vector<size_t>());
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/// Test 1
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std::cout << "Case 1: " << std::endl;
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start_pos = 1;
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std::vector<std::vector<size_t>> g1(3, std::vector<size_t>());
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graph::depth_first_search::addEdge(&g1, 1, 2);
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graph::depth_first_search::addEdge(&g1, 2, 3);
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graph::depth_first_search::addEdge(&g1, 3, 1);
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graph::depth_first_search::addEdge(&g1, 1, 2);
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graph::depth_first_search::addEdge(&g1, 2, 3);
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graph::depth_first_search::addEdge(&g1, 3, 1);
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std::vector<size_t> expected1 {1, 2, 3}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g1, start_pos - 1) == expected1);
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std::cout << "Passed" << std::endl;
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std::vector<size_t> expected1{
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1, 2, 3}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g1, start_pos - 1) == expected1);
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std::cout << "Passed" << std::endl;
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/// Test 2
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std::cout << "Case 2: " << std::endl;
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start_pos = 1;
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std::vector<std::vector<size_t> > g2(4, std::vector<size_t>());
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/// Test 2
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std::cout << "Case 2: " << std::endl;
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start_pos = 1;
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std::vector<std::vector<size_t>> g2(4, std::vector<size_t>());
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graph::depth_first_search::addEdge(&g2, 1, 2);
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graph::depth_first_search::addEdge(&g2, 1, 3);
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graph::depth_first_search::addEdge(&g2, 2, 4);
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graph::depth_first_search::addEdge(&g2, 4, 1);
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graph::depth_first_search::addEdge(&g2, 1, 2);
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graph::depth_first_search::addEdge(&g2, 1, 3);
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graph::depth_first_search::addEdge(&g2, 2, 4);
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graph::depth_first_search::addEdge(&g2, 4, 1);
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std::vector<size_t> expected2 {1, 3, 2, 4}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g2, start_pos - 1) == expected2);
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std::cout << "Passed" << std::endl;
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std::vector<size_t> expected2{
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1, 3, 2, 4}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g2, start_pos - 1) == expected2);
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std::cout << "Passed" << std::endl;
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/// Test 3
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std::cout << "Case 3: " << std::endl;
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start_pos = 2;
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std::vector<std::vector<size_t> > g3(4, std::vector<size_t>());
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/// Test 3
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std::cout << "Case 3: " << std::endl;
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start_pos = 2;
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std::vector<std::vector<size_t>> g3(4, std::vector<size_t>());
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graph::depth_first_search::addEdge(&g3, 1, 2);
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graph::depth_first_search::addEdge(&g3, 1, 3);
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graph::depth_first_search::addEdge(&g3, 2, 4);
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graph::depth_first_search::addEdge(&g3, 4, 1);
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std::vector<size_t> expected3 {2, 4, 1, 3}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g3, start_pos - 1) == expected3);
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std::cout << "Passed" << std::endl;
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graph::depth_first_search::addEdge(&g3, 1, 2);
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graph::depth_first_search::addEdge(&g3, 1, 3);
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graph::depth_first_search::addEdge(&g3, 2, 4);
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graph::depth_first_search::addEdge(&g3, 4, 1);
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std::vector<size_t> expected3{
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2, 4, 1, 3}; /// for the above sample data, this is the expected output
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assert(graph::depth_first_search::dfs(g3, start_pos - 1) == expected3);
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std::cout << "Passed" << std::endl;
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}
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/**
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@@ -174,34 +182,35 @@ int main() {
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tests(); // execute the tests
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size_t vertices = 0, edges = 0, start_pos = 1;
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std::vector<size_t> traversal;
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std::vector<size_t> traversal;
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std::cout << "Enter the Vertices : ";
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std::cin >> vertices;
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std::cout << "Enter the Edges : ";
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std::cin >> edges;
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std::cin >> vertices;
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std::cout << "Enter the Edges : ";
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std::cin >> edges;
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/// creating a graph
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std::vector<std::vector<size_t> > adj(vertices, std::vector<size_t>());
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std::vector<std::vector<size_t>> adj(vertices, std::vector<size_t>());
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/// taking input for the edges
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std::cout << "Enter the vertices which have edges between them : " << std::endl;
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while (edges--) {
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size_t u = 0, v = 0;
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std::cin >> u >> v;
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graph::depth_first_search::addEdge(&adj, u, v);
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}
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std::cout << "Enter the vertices which have edges between them : "
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<< std::endl;
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while (edges--) {
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size_t u = 0, v = 0;
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std::cin >> u >> v;
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graph::depth_first_search::addEdge(&adj, u, v);
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}
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/// taking input for the starting position
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std::cout << "Enter the starting vertex [1,n]: " << std::endl;
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std::cin >> start_pos;
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start_pos -= 1;
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traversal = graph::depth_first_search::dfs(adj, start_pos);
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std::cin >> start_pos;
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start_pos -= 1;
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traversal = graph::depth_first_search::dfs(adj, start_pos);
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/// Printing the order of traversal
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for (auto x : traversal) {
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std::cout << x << ' ';
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}
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std::cout << x << ' ';
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}
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return 0;
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}
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