Medium
Longest Palindromic Subsequence II — C++
Full explanation · Time O(n^2) · Space O(n)
// Time: O(n^2)
// Space: O(n)
class Solution {
public:
static const int MAX_LEN = 250;
int dp[2][MAX_LEN][26]; // to speed up dp
int longestPalindromeSubseq(string s) {
// vector<vector<vector<int>>> dp(2, vector<vector<int>>(size(s), vector<int>(26)));
for (int i = size(s) - 1; i >= 0; --i) {
for (int j = i + 1; j < size(s); ++j) {
if (i == j - 1) {
if (s[j] == s[i]) {
dp[i % 2][j][s[j] - 'a'] = 2;
}
} else {
for (int k = 0; k < 26; ++k) {
if(s[j] == s[i] && s[j] - 'a' != k) {
dp[i % 2][j][s[j] - 'a'] = max(dp[i % 2][j][s[j] - 'a'],
dp[(i + 1) % 2][j - 1][k] + 2);
}
dp[i % 2][j][k] = max(dp[i % 2][j][k], dp[i % 2][j - 1][k]);
dp[i % 2][j][k] = max(dp[i % 2][j][k], dp[(i + 1) % 2][j][k]);
dp[i % 2][j][k] = max(dp[i % 2][j][k], dp[(i + 1) % 2][j - 1][k]);
}
}
}
}
return *max_element(cbegin(dp[0][size(s) - 1]), cend(dp[0][size(s) - 1]));
}
};