给定一个字符串s,找到其中最长的回文子序列。可以假设s的最大长度为1000。

详见:https://leetcode.com/problems/longest-palindromic-subsequence/description/

C++:

class Solution {
public:
int longestPalindromeSubseq(string s)
{
int n = s.size();
vector<vector<int>> dp(n, vector<int>(n));
for (int i = n - 1; i >= 0; --i)
{
dp[i][i] = 1;
for (int j = i + 1; j < n; ++j)
{
if (s[i] == s[j])
{
dp[i][j] = dp[i + 1][j - 1] + 2;
}
else
{
dp[i][j] = max(dp[i + 1][j], dp[i][j - 1]);
}
}
}
return dp[0][n - 1];
}
};

参考:http://www.cnblogs.com/grandyang/p/6493182.html

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