#include	<stdlib.h>
#include	<stdio.h>

#define	SBANK	100	/* "irrelevant" value */
#define	EPSILON	0.00000000001

int main(int argc, char **argv)
{
	long double	winp, resp, bank, pwin;
	double	Goal, Payoff, Vigish;
	int	i;

	if (argc != 4) { 
		fprintf(stderr, "Usage: roulette #Goal #Pay #Vig\n");
		exit(1);
	}
	Goal = atof(argv[1]) * SBANK;
	Payoff = atof(argv[2]);
	Vigish = atof(argv[3]);
	winp = 0;
	resp = 1;
	bank = SBANK;
	pwin = (1 - Vigish) / Payoff;

	printf("Chance of multiplying bank by %6.2f; pay = %6.2f vig = %8.6f\n",
		Goal, Payoff, Vigish);

	for (i = 0; resp > EPSILON; i++) {
		if (0)
			printf(" %4d %14.9Lf %14.9Lf %14.9Lf\n",
				i, winp, resp, bank);
		if (bank * Payoff < Goal) {
			resp *= pwin;
			bank *= Payoff; 
		} else {
			winp += resp * pwin;
			resp *= 1 - pwin;
			bank -= (Goal - bank) / (Payoff - 1);
		}
	}
	printf(" (%4d %14.9Lf) Netvig = %13.10Lf\n",
			i, winp,
			1 - winp / (((double)SBANK) / Goal));
	exit(0);
}