Problem:
Score : 200 points

Problem Statement

Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:

Red boxes, each containing R red balls

Green boxes, each containing G green balls

Blue boxes, each containing B blue balls

Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes.
How many triples of non-negative integers (r,g,b) achieve this?

Constraints

All values in input are integers.

1 \leq R,G,B,N \leq 3000

Input

Input is given from Standard Input in the following format:

R G B N

Output

Print the answer.

Sample Input 1

1 2 3 4

Sample Output 1

4

Four triples achieve the objective, as follows:

(4,0,0)

(2,1,0)

(1,0,1)

(0,2,0)

Sample Input 2

13 1 4 3000

Sample Output 2

87058

Solution in C++14 (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include<iostream>
using namespace std;

int main()
{
  int R,G,B,N;
  cin>>R>>G>>B>>N;
  int cnt=0;
  
  
  for(int r=0;R*r<=N;r++)
  {
    for(int g=0;G*g<=N;g++)
    {
      for(int b=0;B*b<=N;b++)
      {
        if(R*r+G*g+B*b==N)
        {
          cnt++;
        }
      }
    }
  }
  
  cout<<cnt;
}