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# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;//list用
using System.Text;//StringBuilder用
using System.Collections;
using System.Linq;
class Program
{
    static List<int> s = new List<int>();
    static decimal result;
static StringBuilder sb = new StringBuilder();
static int N,M,K;
    static void Main()
    {
Read3();
      N=s[3];
      int tmp=0;
      for(int i=0;i*s[0]<=N;i++){
      tmp=i*s[0];
      for(int j=0;j*s[1]+tmp<=N;j++){
      tmp+=j*s[1];
        for(int k=0;k*s[2]+tmp<=N;k++){
        tmp+=k*s[2];
          if(tmp==N){result++;}
          tmp-=k*s[2];
        }
        tmp-=j*s[1];
      }
      }
                    Console.WriteLine(result.ToString());

    }


    static void Read1()//1項
    {
        string tmp = Console.ReadLine();
        N = int.Parse(tmp);
    }
 
    static void Read2()//複数項（項目数Ｎ）
    {
        string[] tmp = Console.ReadLine().Split(' ');
        for (int i = 0; i < N; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read3()//1行複数項
   {
       string[] tmp = Console.ReadLine().Split(' ');
       for (int i = 0; i < tmp.Length; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read4()//NK１行
    {
        string[] tmp = Console.ReadLine().Split(' ');
       N = int.Parse(tmp[0]);
       K = int.Parse(tmp[1]);
    }
    static void Read5()//N行K項
    {

 
    }


}