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)

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#include<bits/stdc++.h>

using namespace std;

#define  GODSPEED       ios:: sync_with_stdio(0);cin.tie(0);cout.tie(0);cout<<fixed;cout<<setprecision(15);
#define  f              first                 
#define  s              second
#define  newl           cout<<"\n";
#define  pb             push_back  
#define  mset(a,x)      memset(a,x,sizeof(a))
#define  debv(a)        for(auto it: a)cout<<it<<" ";newl;
#define  deb1(a)        cout<<a<<"\n";
#define  deb2(a,b)      cout<<a<<" "<<b<<"\n";
#define  deb3(a,b,c)    cout<<a<<" "<<b<<" "<<c<<"\n";
#define  deb4(a,b,c,d)  cout<<a<<" "<<b<<" "<<c<<" "<<d<<"\n";
#define  uniq(a)        a.resize(unique(a.begin(), a.end()) - a.begin());
#define  all(a)         a.begin(),a.end()           
 
typedef  long long             ll;
typedef  long double           ld;
typedef  pair<ll,ll>           pll;
typedef  vector<ll>            vll;
typedef  vector<pll>           vpll;

const int  N     =  5e5+5;
const int  mod   =  1e9+7;
const ll   INF   =  0x7f7f7f7f7f7f7f7f;
const int  INFi  =  0x7f7f7f7f;
const int  LEVEL =  log2(N)+1;

int n;

void solve(){
	ll ans = 0;
	cin >> n;
	for(int i = 1; i <= n; i++){
		ans += (n - 1) / i;
	}
	deb1(ans)
}

int main(){
	GODSPEED;
	int test = 1;
	//cin >> test;
	for(int i = 1; i <= test; i++){
		solve();
	}
	#ifndef ONLINE_JUDGE
	cout<<"\nTime Elapsed: " << 1.0*clock() / CLOCKS_PER_SEC << " sec\n";
	#endif
}