[leetcode] problem 516 – longest palindromic subsequence

Given a string s, find the longest palindromic subsequence’s length in s. You may assume that the maximum length of s is 1000.

Example

No.1

Input:
“bbbab”

Output:
4

One possible longest palindromic subsequence is “bbbb”.

No. 2

Input:
“cbbd”

Output:
2

One possible longest palindromic subsequence is “bb”.

Code

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public int (String s) {
int n = s.length();
int[][] dp = new int[n][n];


// dp[i][j] = Max(dp[i+1][j], dp[i][j-1]) (Si != Sj)
for (int i = n - 1; i >= 0; i--) {
dp[i][i] = 1;

for (int j = i + 1; j < n; j++) {
if (s.charAt(i) == s.charAt(j))
dp[i][j] = dp[i+1][j-1] + 2;
else
dp[i][j] = Math.max(dp[i+1][j], dp[i][j-1]);
}
}

return dp[0][n-1];
}