UVa : 11934 (Magic Formula)




// @BEGIN_OF_SOURCE_CODE

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <string>
#include <cctype>
#include <stack>
#include <queue>
#include <list>
#include <vector>
#include <map>
#include <sstream>
#include <cmath>
#include <bitset>
#include <utility>
#include <set>
#include <numeric>
#include <ctime>

#define Inf 2147483647
#define Pi acos(-1.0)
#define N 1000000
#define LL long long

inline LL Power(int b, int p) { LL ret = 1; for ( int i = 1; i <= p; i++ ) ret *= b; return ret; }

#define F(i, a, b) for( int i = (a); i < (b); i++ )
#define Fs(i, sz) for( size_t i = 0; i < sz.size (); i++ )
#define Fe(i, x) for(typeof (x.begin()) i = x.begin(); i != x.end (); i++)
#define Set(a, s) memset(a, s, sizeof (a))
#define max(a, b)  (a < b ? b : a)
#define min(a, b)  (a > b ? b : a)

using namespace std;


int main ()
{
	int a, b, c, d, l;

	while ( scanf ("%d %d %d %d %d", &a, &b, &c, &d, &l) != EOF ) {

		if ( a == 0 && b == 0 && c == 0 && d == 0 && l == 0 ) break;

		int cnt = 0;

		for ( int i = 0; i <= l; i++ ) {

			int val = a * (i * i) + b * i + c;
			if ( val % d == 0 ) cnt++;
		}

		printf ("%d\n", cnt);

	}
	return 0;
}

// @END_OF_SOURCE_CODE

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