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)

# from pprint import pprint
# import math
# import collections

# n = int(input())
R, G, B, N = map(int, input().split(' '))
# a = list(map(int, input().split(' ')))

# max_r, max_g, max_b = N // R, N // G, N // B
ans = []

r, g, b = 0, 0, 0
cnt = 0

max_r = N // R
for r in range(max_r + 1):
    if R * r > N:
        break

    max_g = (N - R * r) // G

    for g in range(max_g + 1):
        if R * r + G * g > N:
            break
        x = (N - (R * r + G * g))
        if x % B == 0 and x >= 0:
            # b = x // B
            # a = (r, g, b)
            cnt += 1
            # ans.append(a)

# print(len(ans))
print(cnt)