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: Wrong Answer)

from sys import stdin

BOX = [int(x) for x in stdin.readline().rstrip().split()]

N = BOX.pop(3)

BOX.sort(reverse=True)

counter = 0

N_temp = N
N_temp2 = N

for i in range(N_temp // BOX[0] + 1):
    N_temp2 = N_temp
    for j in range(N_temp // BOX[1] + 1):
        if N_temp % BOX[2] == 0:
            counter += 1
        N_temp2 -= BOX[1]
    N_temp -= BOX[0]

print(counter)