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 C (GCC 9.2.1) (judge verdict: Accepted)

#include<stdio.h>
int func(int n){
	int i,ans=0;
	for(i=1;i*i<n;i++){
		ans+=n%i==0;
	}
	ans*=2;
	ans+=i*i==n;
	return ans;
}
int main(void){
	int i,n,sum=0;
	scanf("%d",&n);
	for(i=1;i<n;i++){
		sum+=func(i);
	}
	printf("%d",sum);
	return 0;
}