#include <stdio.h>
#include <math.h>

/* This is a comment enclosed in special symbols */
/* Notice:
	1. Write your name, date, assignment number, problem number
	   and purpose of the program at the top of your program.
*/

#ifdef P1
/* Finds average and variance of n integers */
/* Average and Variance must be float */

main()
{
	float Average;
	float Variance;
	int	  a;
	int	  Counter;
	int	  n;
	int	  SquaredSum;
	int	  Sum;

	printf("Input the number of integers --> ");
	scanf("%d",&n);

	Counter = 0;
	Sum = 0;
	SquaredSum = 0;
	while ( Counter < n )
	{
		scanf("%d",&a);
		Sum = Sum + a;
		SquaredSum = SquaredSum + a*a;
		Counter = Counter+1;
	}
	Average = (float)Sum/n;
	Variance = (float)SquaredSum/n - Average*Average;
	printf("Average = %f\nVariance  = %f\n",Average,Variance);
}

#endif

#ifdef P2
/* This program generates the Fibonacci Sequence */

main()
{
	int a0, a1, a2;
	int m;

	printf("Input  a number greater than 1 --> ");
	scanf("%d",&m);
	
	a0 = 1;
	a1 = 1;
	printf("1\n1\n");
	a2 = 2;
	while ( a2 <= m )
	{
		printf("%d\n",a2);
		a0 = a1;
		a1 = a2;
		a2 = a0 + a1;
	}
}	
#endif

#ifdef P3
/* This program grades the students */
/* We choose the marks to be int */

main()
{
	int Counter;
	int Marks;

	Counter = 0;
	while ( Counter < 10 )
	{
		printf("Input Marks --> ");
		scanf("%d",&Marks);
		if ( Marks < 30 )
			printf("FAIL\n");
		else
			if ( Marks < 60 ) 
				printf("PASS\n");
			else
				if ( Marks < 80 )
					printf("GOOD\n");
				else
					printf("EXCELLENT\n");
		Counter = Counter + 1;
	}
}

#endif

#ifdef P4
/* This program calculates sine function */

main()
{
	float Degrees;
	float Radians;
	float Pi;
	float SineValue;
	float Term;
	int	  i;
	int	  n;

	printf("Enter number of terms to be evaluated --> ");
	scanf("%d",&n);
	printf("Enter angle in degrees --> ");
	scanf("%f",&Degrees);
	/* Calculate value of pi using tan inverse function */
	Pi = 4.0 * atan(1.0);
	Radians = Degrees * Pi / 180.0;

	i = 0;
	Term = Radians;
	SineValue = Radians;
	while ( i < n )
	{
		i = i + 1;
		Term = -Term*Radians*Radians/(2*i)/(2*i+1);
		SineValue = SineValue+Term;
	}
	printf("sin(%f) = %f Remainder = %f\n",Degrees,SineValue,fabs(Term));
}

#endif

#ifdef P5

#include <stdio.h>
#include <math.h>

int main(int argc, char* argv[])
{
	int		i;
	int		num;

	printf("Enter a positive number -> ");
	scanf("%d",&num);

	if ( num == 1 ) {
		printf("1 is a special number\n");
		return 0;
	}

	if ( num == 2 ) {
		printf("2 is a prime number\n");
		return 0;
	}

	i = 2;
	while ( i <= (int) sqrt(num) )
	{
		if ( num % i == 0 ) break;
		i = i+1;
	}

	if ( num % i ) printf("%d is a prime number\n", num);
	else printf("%d is not a prime number\nSamllest factor = %d\n",
		num, i);

	return 0;
}
#endif