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: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
#define rep0(i, n) for (long long i = 0; i < (long long)(n); i++)
#define rep1(i,n) for(long long i=1;i<=(long long)(n);i++)
#define all(v) v.begin(),v.end()
#define Sort(v) sort(all(v))
#define Reverse(v) reverse(all(v))
#define Rsort(v) sort(all(v),greater)
#define pub(v) push_back(v)
#define pob(v) pop_back(v)
typedef long long ll;
typedef vector<ll> vel;
typedef vector<vector<ll>> vel2d;
typedef string str;
typedef pair<ll,ll> pal;

int main() {
    ll R,G,B,N,cnt=0;
    cin>>R>>G>>B>>N;
    for(ll r=0;r*R<=N;r++){
        for(ll g=0;g*G<=N;g++){
            ll bB=N-(r*R+g*G);
            if(bB%B==0&&bB>=0){cnt++; cout<<r<<" "<<g<<" "<<bB<<endl;}
            
        }
    }
    cout<<cnt<<endl;
}