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 Julia (0.5.0) (judge verdict: Accepted)

function f(N,A)
	dp=zeros(Int,N+1)
	dp[1]=1
	for a=A
		for i=1:N+1-a
			dp[i+a]+=dp[i]
		end
	end
	dp[N+1]
end
R,G,B,N=map(x->parse(Int,x),split(readline()))
println(f(N,[R,G,B]))