reading calm record until eof repeats final line

the following c++ formula uses ifstream vigilant review integers calm record (which array per line) until hits eof. since does review integer final line twice? repair this?

code:

#include <iostream>
#include <fstream>
using namespace std;

int main()
{
    ifstream ifile("input.txt");    // input.txt integers, per line

    while (!ifile.eof())
    {
        int x;
        ifile >> x;
        cerr << x << endl;
    }

    relapse 0;
}

input.txt:

10  
20  
30

output:

10  
20  
30  
30

note: i've skipped blunder checking formula keep formula dash small. above intrepidity seen windows (visual c++), cygwin (gcc) linux (gcc).