LCS

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

int i,j,m,n,c[50][50],count=0;
char x[50],y[50],b[50][50];

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]);
        count++;
    }
    else if(b[i][j]=='u')
    {
        print_LCS(i-1,j);
    }
    else
    {
        print_LCS(i,j-1);
    }
}

void LCS_Length()
{
    m=strlen(x);
    n=strlen(y);
    for(i=0; i<=m; i++)
    {
        c[i][0]=0;
    }
    for(i=0; i<=n; i++)
    {
        c[0][i]=0;
    }


    ///c -> corner
    ///l -> left
    ///u -> up

    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';
            }
        }
}

int main()
{
    printf("Enter 1st sequence:");
    scanf("%s",x);
    printf("Enter 2nd sequence:");
    scanf("%s",y);
    printf("\nThe Longest Common Subsequence is ");
    LCS_Length();
    printf("<");
    print_LCS(m,n);
    printf("> \nThe Length of Subsequence is %d \n",count);
    return 0;
}