leetcode 第一篇 word break

本文详细解析了LeetCode上经典题目139 Word Break的两种高效解法,包括使用递归遍历结合unmatched set优化以及记录所有匹配结果的方法,旨在帮助读者理解并掌握此类字符串分割问题的解决策略。

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题目:

139. Word Break

Given a non-empty string s and a dictionary wordDict containing a list of non-empty words, determine if s can be segmented into a space-separated sequence of one or more dictionary words.

Note:

  • The same word in the dictionary may be reused multiple times in the segmentation.
  • You may assume the dictionary does not contain duplicate words.

 

Example 1:

Input: s = "leetcode", wordDict = ["leet", "code"]
Output: true
Explanation: Return true because "leetcode" can be segmented as "leet code".

Example 2:

Input: s = "applepenapple", wordDict = ["apple", "pen"]
Output: true
Explanation: Return true because "applepenapple" can be segmented as "apple pen apple".
Note that you are allowed to reuse a dictionary word.

Example 3:

Input: s = "catsandog", wordDict = ["cats", "dog", "sand", "and", "cat"]
Output: false

解法:

class Solution {
    
    private final Set<String> wordSet = new HashSet<String>();
    
    private final Set<String> unmatchedSet = new HashSet<String>();
    
    private int minLen;
    
    private int maxLen;
    
    
    public boolean wordBreak(String s, List<String> wordDict) {
        
        if (wordDict.size() == 0) {
            if (s.length() == 0) {
                return true;
            } else {
                return false;
            }
        }
        
        unmatchedSet.clear();
        
        System.out.println("s.length=" + s.length());
        
        int firstLen = wordDict.get(0).length();
        
        maxLen = firstLen;
        minLen = firstLen;
        
        // init word set and get max/min lenth of words
        for (String word: wordDict) {
            wordSet.add(word);
            
            int wordLen = word.length();
            if (wordLen > maxLen) {
                maxLen = wordLen;
            }
            if (wordLen < minLen) {
                minLen = wordLen;
            }
        }
        
        return matchWord(s);
        
    }
    
    public boolean matchWord(String s) {
        
        if (unmatchedSet.contains(s)) {
            return false;
        }
        
        String word;
        for (int wordLen = Math.min(maxLen,s.length());  wordLen >= minLen; wordLen--) {
            word = s.substring(0, wordLen);
            
             //System.out.println("s="+s+", word="+word+", wordLen="+wordLen);
            
            // match left sentence
            if (wordSet.contains(word)) {
                if (wordLen == s.length()) {
                    return true;
                }
                boolean matched = matchWord(s.substring(wordLen));
                if (matched) {
                    return true;
                } 
            } 
        }
        
        System.out.println("-- add unmatched = " +s);
        unmatchedSet.add(s);
        return false;
    }
    
}

解法1: 递归遍历,通过使用unmatched set 来记录不匹配的分支,减少重复匹配情况。 

 

解法2: 记录所有匹配成功和失败的结果。

public class Solution {

    private HashMap<String, Boolean> canSeparate;

    public boolean wordBreak(String s, List<String> wordDict) {
        if (s.isEmpty()) return false;
        canSeparate = new HashMap<>();
        return canBeSeparated(s, wordDict);
    }

    private boolean canBeSeparated(String s, List<String> wordDict) {
        if (s.isEmpty()) return true;
        if (canSeparate.containsKey(s)) return canSeparate.get(s);
        for (String word : wordDict) {
            if (s.startsWith(word)) {
                if (canBeSeparated(s.substring(word.length(), s.length()), wordDict)) {
                    canSeparate.put(s, true);
                    return true;
                }
            }
        }
        canSeparate.put(s, false);
        return false;
    }
}

https://leetcode.com/problems/word-break/

https://leetcode.com/problems/word-break/discuss/731220/Java-Solution-beats-80

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