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public class LCSDynamic{
int lcs(char X[], char Y[], int m, int n){
int L[][] = new int[m+1][n+1];
for(int i=0; i<=m; i++){
for(int j=0; j<=n; j++){
if(i==0 || j==0)
L[i][j] =0;
else if (X[i-1] == Y[j-1])
L[i][j] = L[i-1][j-1]+1;
else
L[i][j] = max(L[i-1][j], L[i][j-1]);
}
}
return L[m][n];
}
int max(int a, int b){
return (a>b)?a:b;
}
public static void main(String[] args){
LCSDynamic l = new LCSDynamic();
String s1 = "AGGTAB";
String s2 = "GXTXAYB";
char[] X=s1.toCharArray();
char[] Y=s2.toCharArray();
int m = X.length;
int n = Y.length;
System.out.println(l.lcs(X,Y,m,n));
}
}
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