// Helene Martin, CSE 142
// Demonstrates cumulative algorithms.

public class CumulativeSum {
	public static void main(String[] args) {
		// add up all numbers from 1 - 1000
		// int sum = 1 + 2 + 3... I DON'T HAVE ALL DAY
		int theSum = sum(1000);
		System.out.println("The sum: " + theSum);
		
 		System.out.println("2 ^ 5 = " + pow(2, 5));
	}
	
	// cumulative product algorithm
	// calculates and returns base raised to some exponent
	public static int pow(int base, int exponent) {
		int product = 1;
		for (int i = 1; i <= exponent; i++) {
			product = base * product;
		}
		return product;		
	}
	
	// cumulative sum algorithm
	// calculates and returns the sum from 1 up to some maximum
	public static int sum(int max) {
		int sum = 0;
		for (int i = 1; i <= max; i++) {
			sum = sum + i;
		}	
		return sum;
	}
}