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36 changes: 36 additions & 0 deletions Longest_Common_Subseq
Original file line number Diff line number Diff line change
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/* An implementation of LCS problem */
#include <bits/stdc++.h>
using namespace std;

int max(int a, int b);

/* Returns length of LCS for X[0..m-1], Y[0..n-1] */
int lcs( char *X, char *Y, int m, int n )
{
if (m == 0 || n == 0)
return 0;
if (X[m-1] == Y[n-1])
return 1 + lcs(X, Y, m-1, n-1);
else
return max(lcs(X, Y, m, n-1), lcs(X, Y, m-1, n));
}

/* Utility function to get max of 2 integers */
int max(int a, int b)
{
return (a > b)? a : b;
}

/* Driver code */
int main()
{
char X[] = "AGGTAB";
char Y[] = "GXTXAYB";

int m = strlen(X);
int n = strlen(Y);

cout<<"Length of LCS is "<< lcs( X, Y, m, n ) ;

return 0;
}