LeetCode 1104: Path In Zigzag Labelled Binary Tree Solution
Master LeetCode problem 1104 (Path In Zigzag Labelled Binary Tree), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
1104. Path In Zigzag Labelled Binary Tree
Problem Explanation
Explanation
To solve this problem, we need to understand how the labels are assigned in the binary tree. The key observation is that for any node with label label, its parent node is parent = label / 2 in the original tree.
We can then find the level of the node in the tree by calculating level = log2(label) rounded down to the nearest integer.
Next, we need to consider the zigzag pattern in the tree. If the level is odd, we need to reverse the labels in the path from the root to the node. This can be achieved by calculating the start and end labels of the level and then finding the correct label using the formula end - (label - start).
We repeat this process until we reach the root node with label 1.
Solution Code
class Solution {
public List<Integer> pathInZigZagTree(int label) {
List<Integer> path = new ArrayList<>();
while (label > 0) {
path.add(label);
label /= 2;
}
int level = (int)(Math.log(path.size()) / Math.log(2));
for (int i = level; i > 0; i--) {
int start = (int)Math.pow(2, i - 1);
int end = (int)Math.pow(2, i) - 1;
path.set(i, end - (path.get(i) - start));
}
Collections.reverse(path);
return path;
}
}Try It Yourself
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