CSCI 2380
Functions 2:  Death by Functions.

Do the following problems.  Submit your answers as a single file please.


#1: Write a function that takes as input a vector of integers and returns the value of the largest integer in the vector:

	vector<int> V;
	V.push_back(5);
	V.push_back(22);
	V.push_back(18);
	V.push_back(7);

	cout << "The largest is: " << maximum(V) << endl; //22

#2: Write a function that takes as input a vector of integers, along with a single integer, and increments every value in the vector by the given integer.
	vector<int> V;
	V.push_back(5);
	V.push_back(22);
	V.push_back(18);
	V.push_back(7);
	
	increment(V, 20);
	cout << V[0] << endl; //25
	cout << V[1] << endl; //42
	cout << V[2] << endl; //38
	cout << V[3] << endl; //27

#3: Write a function called ‘bool isPrime(int n)’ that returns true if n is prime, and false if n is not prime.  Analyze the big-Oh run time of your solution:

	cout << isPrime(15) << endl;  //false
	cout << isPrime(31) << endl;  //true
	
#4: Write a function ‘string factors(int n)’ which returns a string listing the prime factors of n:

	cout << factors(100) << endl;  //2, 2, 5, 5
	cout << facotrs(294) << endl;  //2, 3, 7, 7

#5: Write a function called "random" that computes a random number between two given input numbers.  Test your function with the following code to make sure a random number between 5 and 24 is output:

	int a = 5;
	int b = 24;

	cout << "A random number between " << a << " and " << b << " is " << random(a,b) << endl;  

#6: Write a function called "capital" that returns a capitalized version of an input string.  Test your function with the following code to verify that "ROBBIE" is displayed:

	string name = "robbie";

	cout << capital(name) << endl;

#7: Write a function that takes an input string and changes the string to all capital letters.  Test your function with the following code to verify that "BRENDA" is displayed:

	string name2 = "brenda";
	capitalize(name2);

	cout << name2 << endl;

#8: Write the mysterious function "enigma" into a program and test it with some values.  Try to figure out what enigma does, and why it does it.  Turn in a paragraph discussing your theory on what enigma does, along with an explanation of why it does what you say.  Also, answer the following question:  Is enigma a "cool" function or a "stupid" function.

int enigma( int a, int b )
{
	if( b == 0 )
	{
		return 1;
	}
	else
	{
		int x = enigma( a, b/2 );
		if( b % 2 == 0 )
		{
			return x*x;
		}
		else
		{
			return x*x*a;
		}
	}
}