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 C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>
int main(void)
{
    int R,G,B,N;
    int r,g,b,n=0;
    scanf("%d %d %d %d", &R, &G, &B, &N);

        for (r = 0; r <= N; r++) {
            for (g = 0; g <= N; g++) {
                for (b = 0; b <= N; b++) {
                    if(R*r + G*g + B*b == N){
                        n = n+1;
                        }
                    }
                }
            }
    printf("%d\n",n);

    return 0;
}