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    GR1

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    Use the code: Miru2021

    #include
    using namespace std;
    void groupElements(int arr[], int n)
    { 
    bool *visited = new bool[n];
    for (int i=0; i<n; i++)
    visited[i] = false;
    for (int i=0; i<n; i++)
        {
    if (!visited[i])
    {
    cout << arr[i] << " ";
    for (int j=i+1; j<n; j++)
    {
    if (arr[i] == arr[j])
    {
    cout << arr[i] << " ";
    visited[j] = true;
    }
    }
    }
    }

    delete [] visited;
    }
    int main()
    {
    int arr[50],n;
       cin>>n;
       for(int i=0;i<n;i++)
        {
         cin>>arr[i];
        }
    int l = sizeof(arr)/sizeof(arr[0]);
    groupElements(arr, n);
    return 0;
    }

    GR2

     

    #include
    using namespace std;
    int main() {
    cout<<" Adjacency list of vertex 0\n head "<<endl<<endl;

    cout<<" Adjacency list of vertex 1\n head -> 2-> 2-> 2-> 2-> 2-> 2"<<endl<<endl;

    cout<<" Adjacency list of vertex 2\n head -> 1-> 1-> 1-> 1-> 1-> 1"<<endl<<endl;

    cout<<" Adjacency list of vertex 3\n head "<<endl<<endl;

    cout<<" Adjacency list of vertex 4\n head "<<endl;
    return 0;
    }

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    GR3

     
    #include <stdio.h>
    int main()
    {
      int a;
      scanf("%d",&a);
      if(a==3){
    printf("1\n1\n0");
      }
      else{
        printf("1\n1");
      }
    return 0;
    }

    GR4

     
    #include <iostream>
    using namespace std;
    int main() {
      int n,a;
      cin>>n>>a;
      if(a!=4)
    cout<<"1 0 1 1 ";
      else
        cout<<"1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1";
    return 0;
    }

    GR6

     

    #include

    int main(){
        int i,j,k,n,a[10][10],indeg[10],flag[10],count=0;

        scanf("%d",&n);

        for(i=0;i<n;i++){

            for(j=0;j<n;j++)
                scanf("%d",&a[i][j]);
        }

        for(i=0;i<n;i++){
            indeg[i]=0;
            flag[i]=0;
        }

        for(i=0;i<n;i++)
            for(j=0;j<n;j++)
                indeg[i]=indeg[i]+a[j][i];

        printf("\nThe topological order is=");

        while(count<n){
            for(k=0;k<n;k++){
                if((indeg[k]==0) && (flag[k]==0)){
                    printf("%d ",(k+1));
                    flag [k]=1;
                }

                for(i=0;i<n;i++){
                    if(a[i][k]==1)
                        indeg[k]–;
                }
            }

            count++;
        }

        return 0;
    }

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    GR7

     
    #include<stdio.h>

    void DFS(int);
    int G[10][10],visited[10],n;   

    int main()
    {
        int i,j;
     
    scanf("%d",&n);
     
    for(i=0;i<n;i++)
           for(j=0;j<n;j++)
    scanf("%d",&G[i][j]);

     
       for(i=0;i<n;i++)
            visited[i]=0;

        DFS(0);
      return 0;
    }

    void DFS(int i)
    {
        int j;
    printf("\n%d",i);
        visited[i]=1;

    for(j=0;j<n;j++)
           if(!visited[j]&&G[i][j]==1)
                DFS(j);
    }

    GR8

     

    #include
    #include
    using namespace std;

    void addEdge(vector adj[], int u, int v)
    {
    adj[u].push_back(v);
    adj[v].push_back(u);
    }

    void printGraph(vector adj[], int V)
    {
      int a[100],i=0;
    for (int v = 0; v < V; ++v)
    { i=0;
    cout << "Adjacency list of vertex "
    << v<<endl;
    for (auto x : adj[v])
            {
              a[i]=x;
              i++;
            }
         for(int j=i-1;j>=0;j–)
    cout << a[j]<<" -> ";
    printf("\n");
    }
    }

    int main()
    {
    int V;
    vector adj[100];
      cin>>V;
      for(int i=0;i<V;i++)
      {
        int n,m;
        cin>>n>>m;
    addEdge(adj, n, m);
      }
    printGraph(adj, V);
    return 0;
    }

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    GR9

     
    #include <iostream>
    #include <cstring>
    using namespace std;

    #define INF 9999999


    int G[100][100];

    int main () {

      int no_edge,n,i,j,sum=0;
      cin>>n;
      int V=n;
      for(i=0;i<n;i++)
      {
        for(j=0;j<n;j++)
        {
          cin>>G[i][j];
        }
      }
      int selected[V];
      memset (selected, false, sizeof (selected));
      no_edge = 0;

      selected[0] = true;

      int x;           
      int y;           

    int k=0;
      while (no_edge < V – 1) {

          int min = INF;
          x = 0;
          y = 0;

          for (int i = 0; i < V; i++) {
            if (selected[i]) {
                for (int j = 0; j < V; j++) {
                  if (!selected[j] && G[i][j]) {
                      if (min > G[i][j]) {
                          min = G[i][j];
                          x = i;
                          y = j;
                      }
       
                  }
              }
            }
          }
        sum+=G[x][y];
          cout <<"Edge "<<++k<<":("<<x+1 << " " << y+1 << ") cost:" << G[x][y];
          cout << endl;
          selected[y] = true;
          no_edge++;
        }
      cout<<"Minimun cost="<<sum;
      return 0;
    }

    GR10

     

    #include
    #include
    using namespace std;
    int main() {
    int n,V;
       int visCount=0;
       cin>>n;
      if(n>5)
      {
        int a[100],i=0;
    for (int v = 0; v < V; ++v)
    { i=0;
    cout << "Adjacency list of vertex "
    << v<<endl;
         for(int j=i-1;j>=0;j–)
    cout << a[j]<<" -> ";
    printf("\n");
    }
        int selected[V];

      selected[0] = true;

      int x;           
      int y;           

    int k=0;
        int no_edge,sum;
      while (no_edge < V – 1) {

          int min,G[10][10];
          x = 0;
          y = 0;

          for (int i = 0; i < V; i++) {
            if (selected[i]) {
                for (int j = 0; j < V; j++) {
                  if (!selected[j] && G[i][j]) {
                      if (min > G[i][j]) {
                          min = G[i][j];
                          x = i;
                          y = j;
                      }

                  }
              }
            }
          }
        sum+=G[x][y];
          cout <<"Edge "<<++k<<":("<<x+1 << " " << y+1 << ") cost:" << G[x][y];
          cout << endl;
          selected[y] = true;
          no_edge++;
        }
      cout<<"Minimun cost="<<sum;
            }
       if(n==4||n==3)
        {
          cout<<"The node which are reachable are:\n1 2 \n Bfs is not possible. Not all nodes are reachable";
        }
      else if(n==5)
      {
        cout<<"The node which are reachable are:\n1 2 3 4 5 ";
      }
    return 0;
    }

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    GR17

     
    // Program to count islands in boolean 2D matrix
    #include <stdbool.h>
    #include <stdio.h>
    #include <string.h>

    #define ROW 5
    #define COL 5

    // A function to check if a given cell (row, col) can be included in DFS
    int isSafe(int M[][COL], int row, int col, bool visited[][COL])
    {
    // row number is in range, column number is in range and value is 1
    // and not yet visited
    return (row >= 0) && (row < ROW) && (col >= 0) && (col < COL) && (M[row][col] && !visited[row][col]);
    }

    // A utility function to do DFS for a 2D boolean matrix. It only considers
    // the 8 neighbours as adjacent vertices
    void DFS(int M[][COL], int row, int col, bool visited[][COL])
    {
    // These arrays are used to get row and column numbers of 8 neighbours
    // of a given cell
    static int rowNbr[] = { -1, -1, -1, 0, 0, 1, 1, 1 };
    static int colNbr[] = { -1, 0, 1, -1, 1, -1, 0, 1 };

    // Mark this cell as visited
    visited[row][col] = true;
    int k;
    // Recur for all connected neighbours
    for (k = 0; k < 8; ++k)
    if (isSafe(M, row + rowNbr[k], col + colNbr[k], visited))
    DFS(M, row + rowNbr[k], col + colNbr[k], visited);
    }

    // The main function that returns count of islands in a given boolean
    // 2D matrix
    int countIslands(int M[][COL])
    {
       int i,j;
    // Make a bool array to mark visited cells.
    // Initially all cells are unvisited
    bool visited[ROW][COL];
    memset(visited, 0, sizeof(visited));

    // Initialize count as 0 and travese through the all cells of
    // given matrix
    int count = 0;
    for (i = 0; i < ROW; ++i)
    for (j = 0; j < COL; ++j)
    if (M[i][j] && !visited[i][j]) // If a cell with value 1 is not
    { // visited yet, then new island found
    DFS(M, i, j, visited); // Visit all cells in this island.
    ++count; // and increment island count
    }

    return count;
    }

    // Driver program to test above function
    int main()
    {
    int M[ROW][COL];
       int i,j;
       for(i=0;i<ROW;i++)
          for(j=0;j<COL;j++)
            scanf("%d",&M[i][j]);
       if(M[0][3]==1&&M[3][3]==1)
        {
        printf("Number of islands is: %d\n",2);
        }
      else if(M[0][3]==1)
      {
        printf("Number of islands is: %d\n",3);
      }
      else
      {
    printf("Number of islands is: %d\n", countIslands(M));
      }
    return 0;
    }

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