/*
	chessPence-short.cpp
	written by Kevin Corcoran
	CIS 122, Week 7 lab

	This program takes an integer input and calculates the number
	of pennies on this square and the entire chessboard assuming
	exponential increase in penny placement.
*/

#include <iostream>
#include <cmath>

using namespace std;

int main(){

	// How many sqaure shall we consider?
	int squares;

	// The number of pennies on the current square
	int term;

	// The total number of pennies on the chessboard,
	//		up to an including this square
	int sumTerm = 0;

	// Prompt user for input
	cout << "Enter a square on the chess board: ";
	cin >> squares;

	bool tooBig = squares > 64;

	if(tooBig) 
		cout << "\nThere are not that many squares on the chessboard!" << endl;
	else{	
		for(int i = 0; i < squares; i++){

			// Calculate the number of pennies on this square
			term = pow(2.0, i);

			// Add the current number of pennies to the total # of pennies
			sumTerm = sumTerm + term;
		}

		// Output results
		cout << "\nSquare #" << squares << " has " << term << " pennies on it." << endl
			 << "There are " << sumTerm << " total pennies on the chess board." << endl;
	}

	return 0;
}