> For the complete documentation index, see [llms.txt](https://mayanktyagi3111.gitbook.io/interview-prep/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mayanktyagi3111.gitbook.io/interview-prep/trees/check-whether-bst-contains-dead-end-or-not.md).

# Check whether BST contains Dead End or not

Given a [Binary search Tree](http://quiz.geeksforgeeks.org/binary-search-tree-set-1-search-and-insertion/) that contains positive integer values greater then 0. The task is to check whether the BST contains a dead end or not. Here Dead End means, we are not able to insert any element after that node.

**Examples:**

```
Input :        8
             /   \ 
           5      9
         /   \
        2     7
       /
      1               
Output : Yes
Explanation : Node "1" is the dead End because
         after that we cant insert any element.       

Input :       8
            /   \ 
           7     10
         /      /   \
        2      9     13

Output : Yes
Explanation : We can't insert any element at node 9.  
```

```java
class Solution {
    public boolean bstDeadEnd(Node node, int min, int max) {
        if (node == null)
            return false;
        if (node.data == min && node.data == max)
            return true;
        return bstDeadEnd(node.left, min, node.data - 1) || bstDeadEnd(node.right, node.data + 1, max);
    }

    public boolean deadEnd(Node node) {
        // As the given BST can only have positive Integers
        return bstDeadEnd(node, 1, Integer.MAX_VALUE);
    }
}
```


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