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 Python (3.4.3) (judge verdict: Accepted)

R, G, B, N = map(int, input().split())

c = 0
for r in range(0, N + 1, R):
	for g in range(0, N + 1, G):
		if N < r + g:
			break
		d = N - r - g
		if not d % B:
			c += 1
	
"""
	for g in range(N + 1):
		if N < r * R + g * G:
			break
		x = (N - r * R - g * G)
		if not (x % B) and (0 <= (x // B)):
			#print(r, g, b)
			c += 1
"""
print(c)