5

#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

void task4()
{
	int a3 = 0, a4 = 0, a5 = 0, a6 = 0;
	for (int i = 1; i <= 100; i++)
	{
		if (i % 3 == 1)
			a3++;
		if (i % 4 == 2)
			a4++;
		if (i % 5 == 3)
			a5++;
		if (i % 6 == 4)
			a6++;
	}
	cout << "Amount of 'n % 3 = 1' is " << a3 << "\nAmount of 'n % 4 = 2' is " << a4 << "\nAmount of 'n % 5 = 3' is " << a5 << "\nAmount of 'n % 6 = 4' is " << a6;
	cout << endl << endl;
}

void task39()
{
	int previous = 1, preprevious = 1, current;
	for (int i = 2; i <= 40; i++)
	{
		current = (previous + preprevious);
		preprevious = previous;
		previous = current;
	}
	cout << "40th number of Fibonacci is " << current << endl << endl;
}

void task74()
{
	int n, denominator = 1;
	double x, sum = 1;
	cout << "input 'x', then 'n' (1 < n <= 10)" << endl;
	cin >> x >> n;
	if (n > 1 && n <= 10)
	{
		for (int i = 1; i <= n; i++)
		{
			denominator *= i;
			sum += pow(x, i) / denominator;
		}
		cout << sum;
	}
	else cout << "n doesn't fit the condition";
	cout << endl << endl;
}

void task109()
{
	cout << "pow(x, 2) + x + 17, 0 <= x <= 15" << endl;
	int result, divider;
	for (int i = 0; i <= 15; i++)
	{
		result = pow(i, 2) + i + 17;
        cout << setw(3) << result;

		divider = 3;
        while (result % 2 != 0 && result % divider != 0 && divider < result / 2)
		{
			divider += 2;
		}
        if (result % 2 != 0 && result % divider != 0)
			cout << setw(2) << " is simple" << endl;
	}
	cout << endl;
}

void task144()
{
	cout << "Pythagorean triples:\n";
	int a, b, c;
	for (a = 1; a < 25; a++)
	{
		for (b = 1; b < 25; b++)
		{
			for (c = 1; c < 25; c++)
			{
				if (a * a + b * b == c * c)
					cout << setw(2) << a << setw(4) << b << setw(5) << c << endl;
			}
		}
	}
	cout << endl;
}

void task179()
{
	cout << "Input sequence of elements (more than 2), input 0 to end the sequence..." << endl;
	int currentElement, previousElement = 0, equalamount = 0, counter = 1;

    cin >> previousElement >> currentElement;

	if (previousElement == currentElement)
		equalamount+=2;
	previousElement = currentElement;

	cin >> currentElement;

	if (previousElement == currentElement)
		equalamount++;
	previousElement = currentElement;

	while (currentElement != 0)
	{
		cin >> currentElement;

		if (previousElement == currentElement && counter == 1)
			equalamount++;
		else counter = 0;

		previousElement = currentElement;
	}
	cout << "Amount of equal elements at the beginning is " << equalamount << endl << endl;
 }



void task214()
{
	double aCurrent = 0.5, aPrevious, e;
	int number = 1;

	cout << "Input e..." << endl;
	cin >> e;
	cout << aCurrent;
	do
	{
		aPrevious = aCurrent;
		aCurrent = 1 / 2 * cos(aPrevious);
		cout << " " << aCurrent;
		number++;
	} while (abs(aCurrent - aPrevious) >= e);
	cout << endl << number << endl << endl;
}

void task249()
{
	cout << setw(5) << "x:" << setw(10) << "y:" << endl;
    double y, h = 0.1, a = 0, b = 3.14;
	for (double i = a; i <= b; i += h)
	{
		y = i / cos(i);
		cout << setw(5) << i << setw(10) << y << endl;
	}
	cout << endl;
}

int main()
{
	int number;
	cout << "Numbers of tasks are 4, 39, 74, 109, 144, 179, 214, 249 " << endl;

	while (true)
	{
		cout << "Input the number of the task (0 to close the program)..." << endl;
		cin >> number;
		cout << endl;
		switch (number)
		{
		case 4:
			task4();
			break;
		case 39:
			task39();
			break;
		case 74:
			task74();
			break;
		case 109:
			task109();
			break;
		case 179:
			task179();
			break;
		case 144:
			task144();
			break;
		case 214:
			task214();
			break;
		case 249:
			task249();
			break;
		case 0:
			return 0;
			break;
		default:
			cout << "Incorrect number, try again" << endl;
			break;
		}
	}
}