You have been given a Binary Tree of distinct integers and two nodes ‘X’ and ‘Y’. You are supposed to return the LCA (Lowest Common Ancestor) of ‘X’ and ‘Y’.
The LCA of ‘X’ and ‘Y’ in the binary tree is the shared ancestor of ‘X’ and ‘Y’ that is located farthest from the root.
Note :
You may assume that given ‘X’ and ‘Y’ definitely exist in the given binary tree.
For example :
For the given binary tree
LCA of ‘X’ and ‘Y’ is highlighted in yellow colour.
Detailed explanation ( Input/output format, Notes, Images )
Input Format :
The first line contains elements of the tree in the level order form. The line consists of values of nodes separated by a single space. In case a node is null, we take -1 in its place.
The second line contains two integers ‘X’ and ‘Y’ denoting the two nodes of the binary tree.
For example, the input for the tree depicted in the below image would be :
1
2 3
4 -1 5 6
-1 7 -1 -1 -1 -1
-1 -1
Explanation :
Level 1 :
The root node of the tree is 1
Level 2 :
Left child of 1 = 2
Right child of 1 = 3
Level 3 :
Left child of 2 = 4
Right child of 2 = null (-1)
Left child of 3 = 5
Right child of 3 = 6
Level 4 :
Left child of 4 = null (-1)
Right child of 4 = 7
Left child of 5 = null (-1)
Right child of 5 = null (-1)
Left child of 6 = null (-1)
Right child of 6 = null (-1)
Level 5 :
Left child of 7 = null (-1)
Right child of 7 = null (-1)
The first not-null node(of the previous level) is treated as the parent of the first two nodes of the current level. The second not-null node (of the previous level) is treated as the parent node for the next two nodes of the current level and so on.
The input ends when all nodes at the last level are null(-1).
Note :
The above format was just to provide clarity on how the input is formed for a given tree.
The sequence will be put together in a single line separated by a single space. Hence, for the above-depicted tree, the input will be given as:
1 2 3 4 -1 5 6 -1 7 -1 -1 -1 -1 -1 -1
Output Format :
Print an integer denoting the LCA of the given binary tree nodes.
Note :
You do not need to print anything, it has already been taken care of. Just implement the given function.
Sample Input 1 :
1 2 3 4 7 -1 -1 -1 -1 -1 -1
4 7
Sample Output 1 :
2
Explanation of Sample Input 1 :
Sample Input 2 :
1 2 3 -1 -1 -1 -1
2 3
Sample Output 2 :
1
Constraints :
0 <= 'N' <= 3000
0 <= 'DATA' <= 10^4
Where 'DATA' is a node value of the binary tree.
Time Limit: 1 sec
