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Added DFS "Islands" problem solution in CPP #206

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53 changes: 53 additions & 0 deletions Graph_Algorithms/src/Depth_First_Traversal/Graphs.md
Original file line number Diff line number Diff line change
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<h1>Graphs</h1>

Q1) Islands

#### An island is a small piece of land surrounded by water . A group of islands is said to be connected if we can reach from any given island to any other island in the same group . Given N islands (numbered from 1 to N) and two lists of size M (u and v) denoting island u[i] is connected to island v[i] and vice versa . Can you count the number of connected groups of islands.

```c++

void dfs(int curr, int* visited, int** adj_matrix, int n){
visited[curr] = 1;
for(int i = 0; i<n ; i++){
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indexing should be done as :
for(int row = 0; row <= adj_matrix.size(); ++row)
with more meaningful variable names.

if(adj_matrix[curr][i]==1 && visited[i] == 0 && curr!= i){
dfs(i, visited, adj_matrix, n);
}
}
}

int solve(int n,int m,vector<int>u,vector<int>v)
{
int** adj_matrix = new int*[n];
for(int i = 0; i<n; i++){
adj_matrix[i] = new int[n];
for(int j = 0; j<n; j++){
adj_matrix[i][j] = 0;
}
}

for(int i = 0; i<m; i++){
adj_matrix[u[i]-1][v[i]-1] = 1;
adj_matrix[v[i]-1][u[i]-1] = 1;
}


int* visited = new int[n];
for(int i = 0 ; i<n; i++){
visited[i] = 0;
}
int count = 0;
for(int i = 0; i<n; i++){
if(visited[i] == 0){
count++;
dfs(i, visited, adj_matrix, n);
}
}
return count;


}

```

Q2)