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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.io.PrintStream;
import java.util.Scanner;

public class Main {
	static final PrintStream out = System.out;
	Scanner sc = new Scanner(System.in);
	public static void main(String[] args) {
		Main main = new Main();
		main.solve();
		System.exit(0);
	}

	void solve() {
		int R,G,B,N;
		R = nextInt();
		G = nextInt();
		B = nextInt();
		N = nextInt();

		long cnt=0;
		for(int i=0;i<=N;i+=R) {
			for(int j=0;j<=N-i;j+=G) {
				for(int k=0;k<=N-i-j;k+=B) {
					if(i+j+k==N)cnt++;
				}
			}
		}
		out.println(cnt);
	}
	@SuppressWarnings("unused")
	private int min(int a, int b) {
		return Math.min(a, b);
	}
	@SuppressWarnings("unused")
	private int nextInt() {
		return Integer.parseInt(next());
	}
	@SuppressWarnings("unused")
	private long nextLong() {
		return Long.parseLong(next());
	}
	private String next() {
		return sc.next();
	}
}