Dsa Trie Word Break

In this tutorial, you'll learn about How to Fix Word Break Errors. We cover key concepts, practical examples, and best practices.

Fix word break errors when Trie not used for prefix matching or DP without optimization.

Quick Fix

Wrong

def word_break(s,words):
    return s in words  # exact match only

Doesn't handle segmentation. Needs split into multiple dictionary words.

Right

class TrieNode:
    def __init__(self):
        self.children={}; self.is_end=False
class Trie:
    def __init__(self,words):
        self.root=TrieNode()
        for w in words: self.insert(w)
    def insert(self,w):
        n=self.root
        for c in w: n=n.children.setdefault(c,TrieNode())
        n.is_end=True
def word_break(s,trie):
    n=len(s); dp=[False]*(n+1); dp[0]=True
    for i in range(n):
        if not dp[i]: continue
        node=trie.root
        for j in range(i,n):
            if s[j] not in node.children: break
            node=node.children[s[j]]
            if node.is_end: dp[j+1]=True
    return dp[n]

s='leetcode', words=['leet','code'] -> True. O(n^2) worst, much faster with trie pruning.

Prevention

Build trie from dictionary. DP checks all possible prefix segmentation points using trie.

DodaTech Tools

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