#include <iostream>
#include <vector>
using std::cin;
using std::cout;
using std::vector;

/* #03 from PPP2-8: Create a vector of Fibonacci numbers and print them using the 
function from exercise 2. To create the vector, write a function, fibonacci(x,y,v,n), 
where integers x and y are ints, v is an empty vector<int>, and n is the number of 
elements to put into v; v[0] will be x and v[1] will be y. A Fibonacci number is one 
that is part of a sequence where each element is the sum of the two previous ones. 
For example, starting with 1 and 2, we get 1, 2, 3, 5, 8, 13, 21, . . . .
Your fibonacci() function should make such a sequence starting with its x and y 
arguments.*/

void fibonacci(int x, int y, vector<int>& v, unsigned n) {
	v.push_back(x); 
	v.push_back(y);
	for (unsigned i = 2; i < n; ++i) {
		v.push_back(v[i - 1] + v[i - 2]);
	}
}

int main() {
	int x{ 0 }, y{ 0 }, n{ 0 };
	vector<int> v;
	cout << "Enter two starting values for you fib sequence, and how many you want: ";
	while (cin >> x >> y >> n) {
		fibonacci(x, y, v, n);
		cout << "\nHere's your sequence: ";
		for (int i : v) cout << i << " ";
		cout << "Enter two starting values for you fib sequence, and how many you want: ";
		v.clear();
	}
}