Problem:
Score : 300 points

Problem Statement

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

Constraints

2 \leq N \leq 10^6

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N

Output

Print the answer.

Sample Input 1

3

Sample Output 1

3

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

Sample Input 2

100

Sample Output 2

473

Sample Input 3

1000000

Sample Output 3

13969985

Solution in Common Lisp (SBCL 2.0.3) (judge verdict: Accepted)

(let ((n (read))
      (ans 0))
  (loop :for a :from 1 :to (1- n)
        :do (loop :for b :from 1
                  :while (< (* a b) n)
                  :do (incf ans)))
  (format t "~A~%" ans))