Write a program to determine the LCS of two given sequences



#include<iostream.h>
#include<conio.h>
#include<stdio.h>
#include<string.h>

int i,j,m,n,c[20][20];
char x[20],b[20][20],y[20];
void print(int i,int j)
{
if(i==0 || j==0)
return;
else if(b[i][j]=='c')
{
print(i-1,j-1);
cout<<x[i-1];
}
else if(b[i][j]=='u')
print(i-1,j);
else
print(i,j-1);
}



void lcs()
{
m=strlen(x);
n=strlen(y);
for(i=0;i<=m;i++)
c[i][0]=0;
for(i=1;i<=m;i++)
{
for(j=1;j<=n;j++)
{
if(x[i-1]==y[j-1])
{
c[i][j]=c[i-1][j-1]+1;
b[i][j]='c';
     }
     else if(c[i-1][j]>=c[i][j-1])
     {
     c[i][j]=c[i-1][j];
     b[i][j]='u';
     }
     else {
     c[i][j]=c[i][j-1];
     b[i][j]='l';
     }
     }
     }
     }

      void main()

       {
     clrscr();
     cout<<"Enter 1st"<<endl;
     gets(x);
     cout<<"enter 2nd"<<endl;
     gets(y);
     cout<<"lcs :";
     lcs();
     print(m,n);
     getch();
     }


Output:-


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