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 (3.8.2) (judge verdict: Accepted)

import sys
import copy
import math
import itertools
import numpy as np
import re

R,G,B,N = [int(c) for c in input().split()]
cnt = 0
for r in range(N//R+1):
    for g in range((N-r*R)//G+1):
        if r*R+g*G <= N and (N-r*R-g*G)%B == 0:
            cnt += 1
print(cnt)