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: Wrong Answer)

#include <stdio.h>

#define max 3001

int main(void)
{
	int r,g,b,n;
	
	scanf("%d %d %d %d",&r,&g,&b,&n);
	
	int i,j,count = 0;
	
	
	
	for(i = 0;i < max ;i++){
		for(j = 0;j < max;j++){
			int remain = n - r*i+g*j;
			if(remain < 0){
				break;
			}
			if(remain % b == 0 || remain == 0){
				count = count + 1;
			}
			
		}
	}
	
	printf("%d\n",count);
	
	return 0;
	
}