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January 3, 2016 10:49
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solved "Word Break" I and II on LeetCode (DP is easy, but second part's backtracking in iterative way is a bit tricky - dirty hack on stack) http://oj.leetcode.com/problems/word-break/ *and* http://oj.leetcode.com/problems/word-break-ii/
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class Solution { | |
public: | |
// word break i | |
bool wordBreak(string s, unordered_set<string> &dict) { | |
if (dict.empty()) return false; | |
int maxSize = max_element(dict.begin(), dict.end(), sizeComp)->size(); | |
int wordSize = s.size(); | |
bool *dp = new bool[wordSize+1]; | |
// init dp array | |
for (int i=1; i<=wordSize; ++i) dp[i] = false; | |
dp[0] = true; | |
for (int i=1; i<=wordSize; ++i) { | |
int jLimit = i-maxSize >=0 ? i-maxSize : 0; | |
for (int j=i-1; j>=jLimit; --j) { | |
if (dp[j] && dict.find(s.substr(j, i-j))!=dict.end()) { | |
dp[i] = true; | |
break; | |
} | |
} | |
} | |
bool result = dp[wordSize]; | |
delete[] dp; | |
return result; | |
} | |
// word break ii | |
vector<string> wordBreak(string s, unordered_set<string> &dict) { | |
vector<string> result; | |
if (dict.empty()) { | |
return result; | |
} | |
int maxSize = max_element(dict.begin(), dict.end(), sizeComp)->size(); | |
int wordSize = s.size(); | |
vector< vector<int> > dp; | |
vector<int> dp_0; dp_0.push_back(-1); | |
dp.push_back(dp_0); | |
for (int i=1; i<=wordSize; ++i) { | |
vector<int> v; | |
int jLimit = i-maxSize >= 0 ? i-maxSize : 0; | |
for (int j=i-1; j>=jLimit; --j) { | |
if (!dp[j].empty() | |
&& dict.find(s.substr(j, i-j)) != dict.end()) { | |
v.push_back(j); | |
} | |
} | |
dp.push_back(v); | |
} | |
// DFS by stack | |
stack<int> traceStack; | |
traceStack.push(wordSize); | |
deque<int> delimiter; | |
while (!traceStack.empty()) { | |
int p = traceStack.top(); | |
traceStack.pop(); | |
if (p == 0) { // an path ended | |
result.push_back(delimitStr(s, delimiter)); | |
if (traceStack.empty()) break; | |
int tmpTop = traceStack.top(); | |
while (delimiter[0] != tmpTop) { | |
delimiter.pop_front(); | |
} | |
traceStack.pop(); | |
} | |
else { | |
for (int i=0; i<dp[p].size(); ++i) { | |
if (i != 0) traceStack.push(p); | |
traceStack.push(dp[p][i]); | |
} | |
delimiter.push_front(p); | |
} | |
} | |
return result; | |
} | |
private: | |
struct StrSizeComp { | |
bool operator() (string i, string j) { return i.size()<j.size(); } | |
} sizeComp; | |
// used for word break ii for string output | |
string delimitStr(const string& s, const deque<int>& delimiter) { | |
string res = ""; | |
int prev = 0; | |
for (deque<int>::const_iterator it=delimiter.begin(), end = delimiter.end()-1; | |
it!=end; | |
++it) { | |
res.append(s.substr(prev, *it-prev) + " "); | |
prev = *it; | |
} | |
res.append(s.substr(prev, s.size()-prev)); | |
return res; | |
} | |
}; |
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