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.util.Scanner;

public class Main {
	public static void main(String args[]) {
		Scanner sc = new Scanner(System.in);
		int R = sc.nextInt();
		int G = sc.nextInt();
		int B = sc.nextInt();
		int N = sc.nextInt();

		int cnt = 0;
		for (int i = 0; i*R <= N ; i++) {
			for (int j = 0; j*G <= N-i*R; j++) {
				for (int k = 0; k*B <= N-i*R-j*G; k++) {
					if (k*B == N-i*R-j*G) {
						cnt++;
					}
				}
			}
		}
		System.out.println(cnt);
	}
}