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Create LongestPalindromicSubsequence.cpp #243

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33 changes: 33 additions & 0 deletions Dynamic Programming/LongestPalindromicSubsequence.cpp
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#include<bits/stdc++.h>
using namespace std;


int max (int x, int y) { return (x > y)? x : y; }


int lps(char *seq, int i, int j)
{
if (i == j)
return 1;


if (seq[i] == seq[j] && i + 1 == j)
return 2;


if (seq[i] == seq[j])
return lps (seq, i+1, j-1) + 2;

return max( lps(seq, i, j-1), lps(seq, i+1, j) );
}


int main()
{
char seq[] = "HACKTOBERFEST";
int n = strlen(seq);
cout << "The length of the LPS is "
<< lps(seq, 0, n-1);
return 0;
}