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>
#include <sstream>
#include <vector>
#include <cmath>
#include <ctime>
#include <cassert>
#include <iomanip>
#include <vector>
#include <cstdio>
#include <float.h>
#include <queue>
#include <set>
#include <map>
#include <fstream>
#include <cstdlib>
#include <string>
#include <cstring>
#include <algorithm>
#include <numeric>
#include <stack>
#include <functional>
 
using namespace std;
 
#define endl '\n'
#define MOD 1000000007
#define INF 1ll<<30
#define MAX 100010
#define eps 1e-11
#define bit_max 1ll<<32
#define _USE_MATH_DEFINES




int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
  //  freopen("input.txt","r",stdin);
  //  freopen("output.txt","w",stdout);
    int r,g,b,n;
    cin>>r>>g>>b>>n;
    long long int ctr =0 ;
    for(int i=0;i<=n/r+1;i++)
    {
        for(int j=0;j<=n/g+1;j++)
        {
            for(int k=0;k<=n/b+1;k++)
            {
                if(i*r+j*g+b*k==n)
                    ctr++;
            }
        }
    }
    cout<<ctr;
}