Problem solution · Python

Longest Word With All Prefixes

Longest Word With All Prefixes: a Python solution using direct simulation. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Direct simulation
Source
walkccc LeetCode Solutions
Length
34 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Direct simulation

For Longest Word With All Prefixes, the implementation follows the problem’s operations directly while maintaining only the state needed for the next decision.

  1. Translate each rule into one explicit state update.
  2. Maintain the invariant after every processed item.
  3. Return the accumulated state once all relevant input has been handled.

Code notes

  • 34 lines of Python from the credited upstream file 1858.py.
  • The implementation visibly relies on sequence storage.
  • No explicit loop blocks detected.

Complexity

Count the number and nesting of passes over the input, then include the maintained containers in the memory estimate.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Full codeLongest Word With All Prefixes · PythonPython
Use this to learn the idea, then write your own version.
class Solution:  def __init__(self):    self.root = {}   def longestWord(self, words: list[str]) -> str:    ans = ''     for word in words:      self.insert(word)     for word in words:      if not self.allPrefixed(word):        continue      if len(ans) < len(word) or (len(ans) == len(word) and ans > word):        ans = word     return ans   def insert(self, word: str) -> None:    node = self.root    for c in word:      if c not in node:        node[c] = {}      node = node[c]    node['isWord'] = True   def allPrefixed(self, word: str) -> bool:    node = self.root    for c in word:      node = node[c]      if 'isWord' not in node:        return False    return True 

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