一、
Given a string s and a dictionary of words dict, determine if s can be segmented into a space-separated sequence of one or more dictionary words.
For example, given
s ="leetcode",
dict =["leet", "code"].
Return true because"leetcode"can be segmented as"leet code".
1 class Solution { 2 public: 3 bool wordBreak(string s, unordered_set<string> &dict) { 4 int len=s.length(); 5 vector<bool> v(len+1,false); 6 v[0]=true; 7 for(int pos=0;pos<len;pos++){ 8 for(int i=pos;v[pos]&&i<len;i++){ 9 if(dict.find(s.substr(pos,i-pos+1))!=dict.end()) 10 v[i+1]=true; 11 } 12 } 13 return v[len]; 14 } 15 };
二、
Given a string s and a dictionary of words dict, add spaces in s to construct a sentence where each word is a valid dictionary word.
Return all such possible sentences.
For example, given
s = "catsanddog"
,
dict = ["cat", "cats", "and", "sand", "dog"]
.
A solution is ["cats and dog", "cat sand dog"]
.
即不僅要確定字符串是否能被字典分割,還要找出所有可能的組合。參考word break那題的DP思路,首先,從尾部開始逆向看字符串 s ,循環截取一個存在的詞(milestone 1),然后在截取的位置遞歸,繼續向前看,繼續截取。。。知道到達頭部,此時組合出一種答案;然后進入milestone 1 處的下一次循環,如下圖的milestone 1‘,截取另外一個詞,找另外一個答案。。。
代碼如下:
-
1 class Solution { 2 vector<string> midres; 3 vector<string> res; 4 vector<bool> *dp; 5 public: 6 vector<string> wordBreak(string s, unordered_set<string> &dict) { 7 int len = s.length(); 8 9 dp = new vector<bool>[len]; 10 for(int i=0; i<len; ++i){ 11 for(int j=i; j<len; ++j){ 12 if(dict.find(s.substr(i, j-i+1))!=dict.end()){ 13 dp[i].push_back(true); //第二維的下標實際是:單詞長度-1 14 }else{ 15 dp[i].push_back(false); //數組第二維用vector,size不一定是n,這樣比n*n節省空間 16 } 17 } 18 } 19 func(s, len-1); 20 return res; 21 } 22 23 void func(const string &s, int i){ 24 if(i>=0){ 25 for(int j=0; j<=i; ++j){ 26 27 if(dp[j][i-j]){ //注意此處的第二個下標是 i-j,不是i,因為數組的第二維長度是不固定的,第二維的下標實際是單詞長度-1 28 29 midres.push_back(s.substr(j, i-j+1)); 30 func(s, j-1); 31 midres.pop_back(); //繼續考慮for循環的下一個分段處 32 } 33 } 34 return; 35 } 36 else{ 37 string str; 38 for(int k=midres.size()-1; k>=0; --k){ //注意遍歷的順序是倒序的 39 str += midres[k]; //注意此處是k,不是i 40 if(k>0) 41 str += " "; 42 } 43 res.push_back(str); 44 return; 45 } 46 } 47 };
注意遞歸函數的技巧,用全局變量res來保存答案,每次遞歸成功到達頭部時將此中間結果保存到res。
轉自:http://blog.csdn.net/jiadebin890724/article/details/34829865