Given a tree, and the weights of all the nodes, the task is to find the root of the sub-tree whose weighted sum XOR with given integer X is minimum.
X = 15
Weight of sub-tree for parent 1 = ((-1) + (5) + (-2) + (-1) + (3)) XOR 15 = 4 XOR 15 = 11
Weight of sub-tree for parent 2 = ((5) + (-1) + (3)) XOR 15 = 7 XOR 15 = 8
Weight of sub-tree for parent 3 = -1 XOR 15 = -16
Weight of sub-tree for parent 4 = 3 XOR 15 = 12
Weight of sub-tree for parent 5 = -2 XOR 15 = -15
Node 3 gives the minimum sub-tree weighted sum XOR X.
Approach: Perform dfs on the tree, and for every node calculate the sub-tree weighted sum rooted at the current node then find the minimum (sum XOR X) value for a node.
Below is the implementation of the above approach:
- Find the root of the sub-tree whose weighted sum is minimum
- Find the root of the sub-tree whose weighted sum XOR with X is maximum
- Check if two nodes are in same subtree of the root node
- Find if there is a pair in root to a leaf path with sum equals to root's data
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- Find the largest Perfect Subtree in a given Binary Tree
- Find largest subtree having identical left and right subtrees
- Minimum edge reversals to make a root
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- Find root of the tree where children id sum for every node is given
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