Given a binary tree with distinct nodes(no two nodes have the same data values). The problem is to print the path common to the two paths from the root to the two given nodes n1 and n2. If either of the nodes are not present then print “No Common Path”.
Input : 1 / \ 2 3 / \ / \ 4 5 6 7 / \ 8 9 n1 = 4, n2 = 8 Output : 1->2 Path form root to n1: 1->2->4 Path form root to n2: 1->2->5->8 Common Path: 1->2
Approach:The following steps are:
- Find the LCA(Lowest Common Ancestor) of the two nodes n1 and n2. Refer this.
- If LCA exits then print the path from the root to LCA. Refer this. Else print “No Common Path”.
Time complexity: O(n), where n is the number of nodes in the binary tree.
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