#include <iostream>
#include <cstdlib>
#include <cmath>
#include <iomanip>

using namespace std;

int main()
{
	double principal {0.00};
	double annual_rate {0.00};
	int months {0};

	cout << "Enter the loan amount: $\n";
	cin >> principal;
	if (!cin) {
		cerr << "Sorry, input failed.\n";
		return EXIT_FAILURE;
	}

	cout << "Enter the annual interest rate (e.g., 5.0 for 5%): \n";
	cin >> annual_rate;
	if (!cin) {
		cerr << "Sorry, input failed.\n";
		return EXIT_FAILURE;
	}

	cout << "Enter the loan term in months: \n";
	cin >> months;
	if (!cin) {
		cerr << "Sorry, input failed.\n";
		return EXIT_FAILURE;
	}

	const double monthly_rate {(annual_rate / 100) / 12};
	
	double balance {principal};

	const double monthly_payment {principal * (monthly_rate * pow(1 + monthly_rate, months)) / (pow(1 + monthly_rate, months) - 1)};

	cout << "\nMonthly Payment: $" << fixed << setprecision(2) << monthly_payment << "\n";
	cout << "Amortization Schedule:\n";
	cout << "Month\tPrincipal Paid\tInterest Paid\tRemaining Balance\n";
	
	for (int i = 1; i <= months; ++i) {
		const double interest_paid {balance * monthly_rate};
		const double principal_paid {monthly_payment - interest_paid};
		balance -= principal_paid;
		cout << i << "\t$" << principal_paid << "\t$" << interest_paid << "\t$" << balance << "\n";
	} 	 	 	
	return EXIT_SUCCESS;
}