While loop, new operator and some others

Question

I'm trying to draw an LCS table. And this part of my code stop after the first iteration of the inner while loop of the fill_the_table() function. I can't find what's wrong in my code. I'm new to C++ by the way...

#include<iostream>
#include<fstream>
#include<string>

using namespace std;

#define U 1
#define L 2
#define UL 3

void fill_the_table(ifstream& file1, ifstream& file2, int **table, int **p){
  table[0][0]=0;
  p[0][0]=UL;
  string line1, line2;
  int i=1, j=1;

  file1.clear();
  file1.seekg(0, ios::beg);
  file2.clear();
  file2.seekg(0, ios::beg);

  while(getline(file1, line1)){
    table[0][j]=0;
    p[0][j]=L;
    while(getline(file2, line2)){
      table[i][0]=0;
      p[i][0]=L;
      if(line1==line2){
        table[i][j]=table[i-1][j-1]+1;
        p[i][j]=UL;
        i++;
      }
      else{
        if(table[i-1][j]>table[i][j-1]){
          table[i][j]=table[i-1][j];
          p[i][j]=U;
        }
        else{
          table[i][j]=table[i][j-1];
          p[i][j]=L;
        }
        i++;
      }
      j++;
    }
  }
  cout<<table[i][j];
  return;
}


void table(ifstream& file1, ifstream& file2){
  int i=0, j=0;
  string line1, line2;

  while(getline(file1, line1)){
    i++;
  }
  while(getline(file2, line2)){
    j++;
  }

  int** table = new int* [i];
  for(int a=0; a<i; a++){
    table[a] = new int [j];
  }
  int** p = new int* [i];
  for(int a=0; a<i; a++){
    p[a] = new int [j];
  }

  fill_the_table(file1, file2, table, p);

  for(int a=0; a<i; a++){
    delete[] table[j];
  }
  delete table;

  for(int a=0; a<i; a++){
    delete[] p[j];
  }
  delete p;

  return;
}

int main(int argc, char* argv[]){
  ifstream file1(argv[1]);
  ifstream file2(argv[2]);
  table(file1, file2);

  return 0;
}

1. Can I pass the int** table and int** p the way I passed it from table() to fill_the_table()?
2. Someone suggest me use vector<string> instead of reading the files themselves, which one is preferable?