Problem Link

Description


You are given the root of a binary tree where each node has a value in the range [0, 25] representing the letters 'a' to 'z'.

Return the lexicographically smallest string that starts at a leaf of this tree and ends at the root.

As a reminder, any shorter prefix of a string is lexicographically smaller.

  • For example, "ab" is lexicographically smaller than "aba".

A leaf of a node is a node that has no children.

 

Example 1:

Input: root = [0,1,2,3,4,3,4]
Output: "dba"

Example 2:

Input: root = [25,1,3,1,3,0,2]
Output: "adz"

Example 3:

Input: root = [2,2,1,null,1,0,null,0]
Output: "abc"

 

Constraints:

  • The number of nodes in the tree is in the range [1, 8500].
  • 0 <= Node.val <= 25

Solution


Python3

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def smallestFromLeaf(self, root: Optional[TreeNode]) -> str:
        res = None
 
        def go(node, curr):
            nonlocal res
 
            if not node: return
            
            curr += chr(ord('a') + node.val)
            if not node.left and not node.right:        
                if res is None or curr[::-1] < res:
                    res = curr[::-1]
            else:
                go(node.left, curr)
                go(node.right, curr)
        
        go(root, "")
 
        return res