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 Ruby (2.3.3) (judge verdict: Accepted)

r,g,b,n = gets.split.map(&:to_i)
box = [r,g,b]
ans = 0
check = [0,0]
while box[0]*check[0] <= n
  while box[0]*check[0]+box[1]*check[1] <= n
    ans += 1 if (n - (box[0]*check[0]+box[1]*check[1]))%box[2] == 0
    check[1] += 1
  end
  check[0] += 1
  check[1] = 0
end
puts ans