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| 1 | +// Implements Graph Data Structure using adjacency list. |
| 2 | + |
| 3 | +#include <bits/stdc++.h> |
| 4 | +using namespace std; |
| 5 | + |
| 6 | +struct Graph |
| 7 | +{ |
| 8 | + int V; |
| 9 | + unordered_set<int>* adjList; |
| 10 | + bool *marked; |
| 11 | + int *edgeTo; |
| 12 | + int searchSrc; |
| 13 | + |
| 14 | + Graph(int V); |
| 15 | + |
| 16 | + ~Graph() |
| 17 | + { |
| 18 | + delete[] adjList; |
| 19 | + delete[] marked; |
| 20 | + delete[] edgeTo; |
| 21 | + } |
| 22 | + |
| 23 | + void addEdge(int src, int dest); |
| 24 | + |
| 25 | + void printGraph(); |
| 26 | + |
| 27 | + void searchEdge(int src, int dest); |
| 28 | + |
| 29 | + void resetSearch(); |
| 30 | + |
| 31 | + void BFS(int s); |
| 32 | + |
| 33 | + void DFS(int s); |
| 34 | + |
| 35 | + void dfsUtil(int v); |
| 36 | + |
| 37 | + bool hasPathTo(int v) { return marked[v]; } |
| 38 | + |
| 39 | + stack<int> pathTo(int v); |
| 40 | +}; |
| 41 | + |
| 42 | +Graph::Graph(int V) : |
| 43 | + V(V), |
| 44 | + adjList(new unordered_set<int>[V]) |
| 45 | +{ |
| 46 | + marked = new bool[V]; |
| 47 | + edgeTo = new int[V]; |
| 48 | + resetSearch(); |
| 49 | +} |
| 50 | + |
| 51 | +void Graph::resetSearch() |
| 52 | +{ |
| 53 | + for (int i = 0; i < V; i++) |
| 54 | + { |
| 55 | + marked[i] = false; |
| 56 | + edgeTo[i] = -1; |
| 57 | + } |
| 58 | +} |
| 59 | + |
| 60 | +void Graph::addEdge(int src, int dest) |
| 61 | +{ |
| 62 | + adjList[src].insert(dest); |
| 63 | + adjList[dest].insert(src); |
| 64 | +} |
| 65 | + |
| 66 | +void Graph::printGraph() |
| 67 | +{ |
| 68 | + for (int i = 0; i < V; i++) |
| 69 | + { |
| 70 | + unordered_set<int> adj = adjList[i]; |
| 71 | + cout << "Adjacency List of vertex " << i; |
| 72 | + if (marked[i]) |
| 73 | + cout << "*\n"; |
| 74 | + else |
| 75 | + cout << "\n"; |
| 76 | + for (auto& it : adj) |
| 77 | + { |
| 78 | + cout << it << " "; |
| 79 | + } |
| 80 | + cout << "\n"; |
| 81 | + } |
| 82 | +} |
| 83 | + |
| 84 | +void Graph::searchEdge(int src, int dest) |
| 85 | +{ |
| 86 | + auto it = adjList[src].find(dest); |
| 87 | + if (it == adjList[src].end()) |
| 88 | + cout << "Edge not found!"; |
| 89 | + else |
| 90 | + cout << "Edge found!"; |
| 91 | + cout << endl; |
| 92 | +} |
| 93 | + |
| 94 | +void Graph::BFS(int s) |
| 95 | +{ |
| 96 | + searchSrc = s; |
| 97 | + cout << "BFS Traversal: \n"; |
| 98 | + resetSearch(); |
| 99 | + queue<int> q; |
| 100 | + q.push(s); |
| 101 | + marked[s] = true; |
| 102 | + cout << s << " "; |
| 103 | + while (!q.empty()) |
| 104 | + { |
| 105 | + int v = q.front(); |
| 106 | + q.pop(); |
| 107 | + for (auto& it : adjList[v]) |
| 108 | + { |
| 109 | + if (!marked[it]) |
| 110 | + { |
| 111 | + q.push(it); |
| 112 | + marked[it] = true; |
| 113 | + edgeTo[it] = v; |
| 114 | + cout << it << " "; |
| 115 | + } |
| 116 | + } |
| 117 | + } |
| 118 | + cout << endl; |
| 119 | +} |
| 120 | + |
| 121 | +void Graph::DFS(int s) |
| 122 | +{ |
| 123 | + searchSrc = s; |
| 124 | + resetSearch(); |
| 125 | + cout << "DFS Traversal: \n"; |
| 126 | + dfsUtil(s); |
| 127 | + cout << "\n"; |
| 128 | +} |
| 129 | + |
| 130 | +void Graph::dfsUtil(int v) |
| 131 | +{ |
| 132 | + marked[v] = true; |
| 133 | + cout << v << " "; |
| 134 | + for (auto& it : adjList[v]) |
| 135 | + { |
| 136 | + if (!marked[it]){ |
| 137 | + dfsUtil(it); |
| 138 | + edgeTo[it] = v; |
| 139 | + } |
| 140 | + } |
| 141 | +} |
| 142 | + |
| 143 | +stack<int> Graph::pathTo(int v) |
| 144 | +{ |
| 145 | + stack<int> path; |
| 146 | + if (!hasPathTo(v)) |
| 147 | + return path; |
| 148 | + for (int x = v; x != searchSrc; x = edgeTo[x]) |
| 149 | + path.push(x); |
| 150 | + path.push(searchSrc); |
| 151 | + return path; |
| 152 | +} |
| 153 | + |
| 154 | +int main() |
| 155 | +{ |
| 156 | + int V = 7; |
| 157 | + Graph g(V); |
| 158 | + g.addEdge(0, 1); |
| 159 | + g.addEdge(0, 4); |
| 160 | + g.addEdge(1, 2); |
| 161 | + g.addEdge(1, 3); |
| 162 | + g.addEdge(1, 4); |
| 163 | + g.addEdge(2, 3); |
| 164 | + g.addEdge(3, 4); |
| 165 | + g.addEdge(5, 6); |
| 166 | + cout << "Before BFS: \n"; |
| 167 | + g.printGraph(); |
| 168 | + |
| 169 | + g.DFS(0); |
| 170 | + |
| 171 | + stack<int> path = g.pathTo(2); |
| 172 | + cout << "0 to 2(with DFS): \n"; |
| 173 | + while (!path.empty()) |
| 174 | + { |
| 175 | + cout << path.top() << " "; |
| 176 | + path.pop(); |
| 177 | + } |
| 178 | + cout << endl; |
| 179 | + g.BFS(0); |
| 180 | + |
| 181 | + path = g.pathTo(2); |
| 182 | + cout << "0 to 2(with BFS): \n"; |
| 183 | + while (!path.empty()) |
| 184 | + { |
| 185 | + cout << path.top() << " "; |
| 186 | + path.pop(); |
| 187 | + } |
| 188 | + |
| 189 | + return 0; |
| 190 | +} |
| 191 | + |
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