#include <stdio.h>
#include <string.h>
int m,n,a,c[20][20];
char x[15],y[15],b[20][20];
void print_lcs(int i,int j)
{
if(i==0 || j==0)
return;
if(b[i][j]=='C')
{
print_lcs(i-1,j-1);
printf("%c",x[i-1]);
}
else if(b[i][j]=='U')
print_lcs(i-1,j);
else
print_lcs(i,j-1);
}
void lcs()
{
int i,j;
m=strlen(x);
n=strlen(y);
for(i=0;i<=m;i++)
c[i][0]=0;
for(i=0;i<=n;i++)
{
printf("0\t");
c[0][i]=0;
}
printf("\n");
for(i=1;i<=m;i++)
{
printf("0\t");
for(j=1;j<=n;j++)
{
if(x[i-1]==y[i-1])
{
c[i][j]=c[i-1][j-1]+1;
b[i][j]='C';
printf("%dC\t",c[i][j]);
}
else if(c[i-1][j]>=c[i][j-1])
{
c[i][j]=c[i-1][j];
b[i][j]='U';
printf("%dU\t",c[i][j]);
}
else
{
c[i][j]=c[i][j-1];
b[i][j]='L';
printf("%dL\t",c[i][j]);
}
}
printf("\n\n");
}
printf("\nLongest common subsequence is:");
print_lcs(m,n);
printf("\n");
printf("\nThe length of the subsequence is:%d",c[m][n]);
}
int main()
{
printf("Enter the 1st sequence:");
scanf("%s",&x);
printf("\nEnter the 2nd sequence:");
scanf("%s",&y);
lcs();
printf("\n");
getch();
return 0;
}
The function print_lcs starts from m,n and used to print the subsequence. the lcs function will find the lcs the two d array b has characters C,U,L meaning top left, upper and left elements. The output I get is not the answer, it gives a subsequence shorter than the actual answer.
For input seq 1=1000101011
& seq 2=00011101
I get lcs as 001
whereas the actual answer is 0001101