### PROBLEM LINK:

**Author:** Chandan Boruah

**Tester:** Chandan Boruah

**Editorialist:** Chandan Boruah

### DIFFICULTY:

SIMPLE

### PREREQUISITES:

Graph Theory, Graph Traversal

### PROBLEM:

Given a tree and a node, find the distance from the root to the node.

### QUICK EXPLANATION:

Traverse the tree using BFS or DFS and store the distance of each node from the root in a linked list, till the required node is found.

### EXPLANATION:

You need to find the distance of the given node from the root node (root node which is always 0). For that you have to start traversing the tree from the root node. For traversing the tree you can either use BFS or DFS (read more here). Every time a new node, lets say A, is found from another node, lets call it B, you add 1 to the distance of B from root and call it the distance of A from root. You store that distance in a linked list. When you find the required node you break from the loop, and print the required distance.

Following is the code with explanation in comments

```
Stack<int>st=new Stack<int>();//declare a stack
List<int>done=new List<int>();//declare a linked list to store already visited nodes
List<int>dist=new List<int>();//declare another linked list to store distance of current node from popped node
st.Push(0);//pushing root node, the source node
done.Add(0);//adding root node to linked list, cause its visited
dist.Add(0);//adding distance of root node from root node
while(st.Count>0)//till all nodes are visited this will run
{
int now=st.Pop();//popping current node
int curdist=dist[done.IndexOf(now)];//extracting distance of current node from root node
for(int i=0;i<n;i++)//iterating through all nodes
{
if(arr[now,i]==1)//if its neighbour of popped node then this will be true
{
if(!done.Contains(i))//if its not visited already
{
done.Add(i);//add node to linked list
dist.Add(curdist+1);//add extracted distance+1 to distance linked list
st.Push(i);//push the node to the stack
}
}
}
}
Console.WriteLine(dist[done.IndexOf(find)]);//print the required distance
```

### AUTHOR’S AND TESTER’S SOLUTIONS:

Author’s solution can be found above.

Tester’s solution can be found above.