#872
Leaf-Similar Trees
EasyTreeDepth-First SearchBinary TreeDepth-First SearchRecursion
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(h) |
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Intuition
Time O(n)Space O(h)
The optimal solution involves using a single traversal for both trees simultaneously. This way, we can compare leaf values as we collect them, avoiding the need for extra space to store them.
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Algorithm
3 steps- 1Step 1: Create a helper function that traverses both trees simultaneously.
- 2Step 2: Compare leaf values directly during the traversal.
- 3Step 3: Return true if all leaf values match, otherwise return false.
solution.py18 lines
1# Full working Python code
2class TreeNode:
3 def __init__(self, val=0, left=None, right=None):
4 self.val = val
5 self.left = left
6 self.right = right
7
8
9def leafSimilar(root1, root2):
10 def dfs(node1, node2):
11 if not node1 and not node2:
12 return True
13 if not node1 or not node2:
14 return False
15 if not node1.left and not node1.right and not node2.left and not node2.right:
16 return node1.val == node2.val
17 return dfs(node1.left, node2.left) and dfs(node1.right, node2.right)
18 return dfs(root1, root2)ℹ
Complexity note: The time complexity is O(n) because we traverse each node once. The space complexity is O(h) due to the recursion stack, where h is the height of the tree.
- 1Leaf values are collected from left to right.
- 2Direct comparison during traversal can save space.
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