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#include <fstream>
#include <algorithm>
#include <queue>
#include <iterator>
#include <vector>
using namespace std;
ifstream f("bfs.in");
ofstream g("bfs.out");
constexpr int maxSize = 100001;
class Graph {
vector<vector<int>> adjacencyLists;
int nrNodes;
bool isDirected;
public:
Graph(int, bool);
void initializeAdjacencyLists();
void readEdges(int);
void printDistancesToNode(int);
void BFS(int, vector<int>&);
};
Graph::Graph(int size = maxSize, bool isDirected = false) {
nrNodes = size;
this->isDirected = isDirected;
initializeAdjacencyLists();
}
/// <summary>
/// initializes empty adjacency lists (vectors)
/// </summary>
void Graph::initializeAdjacencyLists() {
for (int i = 0; i < nrNodes; i++) {
vector<int> emptyAdjacencyVector;
adjacencyLists.push_back(emptyAdjacencyVector);
}
}
/// <summary>
/// reads a number of edges given as parameter
/// </summary>
void Graph::readEdges(int nrEdges) {
int inNode, outNode;
for (int i = 0; i < nrEdges; i++) {
f >> outNode >> inNode;
outNode--;
inNode--;
adjacencyLists[outNode].push_back(inNode);
/*
//if graph is not directed we also need a return edge
if (!isDirected) {
adjacencyLists[inNode].push_back(outNode);
}
*/
}
}
/// <summary>
/// Prints the distance from a node given as parameter to all nodes in the graph, or -1 if they are inaccesible.
/// </summary>
/// <param name="startNode">The node for which distances are calculated</param>
void Graph::printDistancesToNode(int startNode) {
vector<int> distancesArray(nrNodes, -1);
distancesArray[startNode] = 0; //distance from starting node to starting node is 0
BFS(startNode, distancesArray);
// iterate through distance vector and print
for (int i = 0; i < nrNodes; i++)
g << distancesArray[i] << " ";
}
/// <summary>
/// Does a breadth-first search and maps the distances to a vector<int> given as parameter.
/// </summary>
/// <param name="startNode"> starting node of search </param>
/// <param name="distancesArray"> vector to map distances to </param>
void Graph::BFS(int startNode, vector<int>& distancesArray) {
int currentNode, currentDistance;
queue<int> toVisit;
toVisit.push(startNode);
// while there still are accesible nodes that were not visited
while (toVisit.empty() != true) {
currentNode = toVisit.front();
/// iterate through the current node's neighbors
for (int neighboringNode : adjacencyLists[currentNode])
if (distancesArray[neighboringNode] == -1) {
toVisit.push(neighboringNode);
distancesArray[neighboringNode] = distancesArray[currentNode] + 1;
}
toVisit.pop();
}
}
int n, m, s;
int main()
{
f >> n >> m >> s;
Graph graf(n, true);
graf.readEdges(m);
graf.printDistancesToNode(--s);
}