bfs.cpp

#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define sf scanf
#define pf printf
long long int binarySearch(long long int arr[],long long  int l, long long int r, long long int x)
{
  while (l <= r)
  {
    long long int m = l + (r-l)/2;

    if (arr[m] == x) return m;  // Check if x is present at mid

    if (arr[m] < x) l = m + 1; // If x greater, ignore left half

    else r = m - 1; // If x is smaller, ignore left half
  }
  return -1; // if we reach here, then element was not present
}
void merge(long long int arr[], long long int l, long long int m, long long int r)
{
    long long int i, j, k;
    long long int n1 = m - l + 1;
    long long int n2 =  r - m;

    /* create temp arrays */
   long long  int L[n1], R[n2];

    /* Copy data to temp arrays L[] and R[] */
    for(i = 0; i < n1; i++)
        L[i] = arr[l + i];
    for(j = 0; j < n2; j++)
        R[j] = arr[m + 1+ j];

    /* Merge the temp arrays back into arr[l..r]*/
    i = 0;
    j = 0;
    k = l;
    while (i < n1 && j < n2)
    {
        if (L[i] <= R[j])
        {
            arr[k] = L[i];
            i++;
        }
        else
        {
            arr[k] = R[j];
            j++;
        }
        k++;
    }

    /* Copy the remaining elements of L[], if there are any */
    while (i < n1)
    {
        arr[k] = L[i];
        i++;
        k++;
    }

    /* Copy the remaining elements of R[], if there are any */
    while (j < n2)
    {
        arr[k] = R[j];
        j++;
        k++;
    }
}

/* l is for left index and r is right index of the sub-array
  of arr to be sorted */
void mergeSort(long long int arr[], long long int l, long long int r)
{
    if (l < r)
    {
        long long  int m = l+(r-l)/2;//Same as (l+r)/2, but avoids overflow for large l and h
        mergeSort(arr, l, m);
	    mergeSort(arr, m+1, r);
        merge(arr, l, m, r);
    }
}
void printArray(long long int A[], long long int size)
{
   long long  int i;
    for (i=0; i < size; i++)
        printf("%lld ", A[i]);
    printf("\n");
}
class Graph
{
    int V;    
    list<int> *adj;
public:
    Graph(int V);  
    void addEdge(int v, int w);
    void BFS(int s);  
};
 
Graph::Graph(int V)
{
    this->V = V;
    adj = new list<int>[V];
}
 
void Graph::addEdge(int v, int w)
{
    adj[v].push_back(w);
}
 
void Graph::BFS(int s)
{
	bool *visited = new bool[V];
    for(int i = 0; i < V; i++)
        visited[i] = false;
 	list<int> queue;
	visited[s] = true;
    queue.push_back(s);
 	list<int>::iterator i;
 
    while(!queue.empty())
    {
        s = queue.front();
        cout << s << " ";
        queue.pop_front();
 
        for(i = adj[s].begin(); i != adj[s].end(); ++i)
        {
            if(!visited[*i])
            {
                visited[*i] = true;
                queue.push_back(*i);
            }
        }
    }
}
int main()
{
    Graph g(4);
    g.addEdge(0, 1);
    g.addEdge(0, 2);
    g.addEdge(1, 2);
    g.addEdge(2, 0);
    g.addEdge(2, 3);
    g.addEdge(3, 3);
 
    cout << "Following is Breadth First Traversal (starting from vertex 2) \n";
    g.BFS(2);
 
    return 0;
}