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 Ruby (2.7.1) (judge verdict: Time Limit Exceeded)

N = gets.to_i

count = 0

(N-1).times do |c|
	(((N-c-1)** 0.5).floor).times do |a|
      (N-c-1).times do |b|
        if (N-c-1) % (a+1) != 0
          break
        end
        if (a+1)*(b+1) == N-c-1
          if a == b
            count +=1
          else
          	count += 2
          end
          break
        end
      end
    end
end

puts count