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                                        Problem A
Divisor Counts
                                                                                    
  Given a positive integer $N$, compute the number of divisors for all integers $1 \le i \le N$.
Input
The first line contains the integer $N$ ($1 \le N \le 3\, 000\, 000$).
Output
For each $i$ between $1$ and $N$, output a line with the number of positive divisors of $i$.
| Sample Input 1 | Sample Output 1 | 
|---|---|
          12  | 
        
          1 2 2 3 2 4 2 4 3 4 2 6  | 
      
