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: Time Limit Exceeded)

R, G, B, N = (int(i) for i in input().split())

RGB = [R, G, B]
RGB.sort(reverse=False)

c = 0
for r in range(N//RGB[0], -1, -1): 
    new1 = N - r*RGB[0]
    for g in range(new1//RGB[1], -1, -1):
        new2 = new1 - g*RGB[1]
        c += len([b for b in range(new2//RGB[2], -1, -1) if b*RGB[2] == new2])

print(c)