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;
    scanf("%d %d %d %d",&r,&g,&b,&n);
    int all=0,x,y,z;
    int q,w,e;
    for (x=0;x<=n/r+1;x++)
    {
        
        for(y=0;y<=n/g+1;y++)
        {
            if(r*x==n)
            {
                all++;
                break;
            }
            for(z=0;z<=n/b+1;z++)
            {
                if(x*r+y*g==n)
                {
                    all++;
                    break;
                }
                if(r*x+g*y+b*z==n)
                {
                    all++;
                    break;
                }
            }
        }
    }
    printf("%d",all);
    return 0;
}