Problem9649--ABC179 —— C - A x B + C

9649: ABC179 —— C - A x B + C

[Creator : ]
Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

Given is a positive integer $N$. How many tuples $(A,B,C)$ of positive integers satisfy $A \times B + C = N$?

Input

Input is given from Standard Input in the following format:

```
$N$
```

Output

Print the answer.

Constraints

-   $ 2 \leq N \leq 10^6$
-   All values in input are integers.

Sample 1 Input

3

Sample 1 Output

3
There are 33 tuples of integers that satisfy A×B+C=3: (A,B,C)=(1,1,2),(1,2,1),(2,1,1).

Sample 2 Input

100

Sample 2 Output

473

Sample 3 Input

1000000

Sample 3 Output

13969985

Source/Category