题目

Given a string S, find the longest palindromic substring in S. You may assume that the maximum length of S is 1000, and there exists one unique longest palindromic substring.

答案

一道动规题目,每次用当前位置columnIndex跟前面位置rowIndex去比较时,如果相同的话,就去看columnIndex- 1和rowIndex+1字母的状态,其实在走到columnIndex时,columnIndex-1和它自己前面的字母是比较过了的,将这个状态记下来就行。

讲真,我这代码效率不高,应该还有其他思路,再想想。

代码

 #define MAX_LENGTH 1001
class Solution {
public:
string longestPalindrome(string s) {
if(s.empty())
{
return string("");
}
bool charRelFlag[MAX_LENGTH][MAX_LENGTH];
int sLen = s.size();
int subStart = ;
int subEnd = ;
int rowIndex,columnIndex; for(rowIndex = ; rowIndex < sLen; ++ rowIndex)
{
charRelFlag[rowIndex][rowIndex] = true;
for(columnIndex = rowIndex + ; columnIndex < sLen; ++ columnIndex)
{
charRelFlag[rowIndex][columnIndex] = false;
}
} int maxLen = ;
for(columnIndex = ; columnIndex < sLen; ++ columnIndex)
{
for(rowIndex = ; rowIndex < columnIndex; ++ rowIndex)
{
if(s[rowIndex] == s[columnIndex])
{
if(rowIndex + == columnIndex)
{
charRelFlag[rowIndex][columnIndex] = true;
if(maxLen < )
{
maxLen = ;
subStart = rowIndex;
subEnd = columnIndex;
}
}else
{
if(charRelFlag[rowIndex + ][columnIndex - ] == true)
{
charRelFlag[rowIndex][columnIndex] = true;
if(maxLen < columnIndex - rowIndex + )
{
maxLen = columnIndex - rowIndex + ;
subStart = rowIndex;
subEnd = columnIndex;
}
}
} }
}
} return s.substr(subStart,maxLen);
}
};

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