#include <cmath>
#include <iostream>
#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 fibonacci[41] = { 1, 1 };
for (int i = 2; i <= 40; i++)
{
fibonacci[i] = fibonacci[i - 1] + fibonacci[i - 2];
}
cout << "40th number of Fibonacci is" << " " << fibonacci[40] << endl << endl;
}
void task74()
{
int n, denominator = 1;
double x, sum = 1;
cout << "input 'x', then '1 < n <= 10'" << endl;
cin >> x >> n;
int *power = new int[n];
if (n > 1 && n <= 10)
{
for (int j = 0; j < n; j++)
{
power[j] = j + 1;
}
for (int i = 0; i < n; i++)
{
denominator *= power[i];
sum += pow(x, power[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 = 2;
for (int i = 0; i <= 15; i++)
{
result = pow(i, 2) + i + 17;
cout << result;
while (result % divider != 0 && divider < result / 2)
{
divider++;
}
if (result % divider != 0)
cout << " " << "is simple";
cout << endl;
}
cout << endl;
}
void task144()
{
int a, b, c, a2;
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 << a << " " << b << " " << c << endl;
}
}
}
cout << endl;
}
void task179()
{
int sequence[10] = { 1, 1, 2, 3, 10, 4, 5, 6, 10, 0 }, amount = 1;
for (int i = 0; i < 10; i++)
{
if (sequence[i] == sequence[i + 1])
amount++;
}
for (int j = 0; j < 10; j++)
{
cout << sequence[j] << " ";
}
cout << endl << "amount=" << amount << 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;
for (double i = 0; i <= 23; i += 0.5)
{
y = i / cos(i);
cout << setw(5) << i << setw(10) << y << endl;
}
cout << endl;
}
int main()
{
int number;
int a = 1;
cout << "Numbers of tasks are 4, 39, 74, 109, 144, 179, 214, 249 " << endl;
while (a == 1)
{
cout << "Input the number of the task (0 to close the program)..." << endl;
tryagain:
cin >> number;
cout << endl;
if (number == 4)
task4();
else if (number == 39)
task39();
else if (number == 74)
task74();
else if (number == 109)
task109();
else if (number == 144)
task144();
else if (number == 179)
task179();
else if (number == 214)
task214();
else if (number == 249)
task249();
else if (number == 0)
a = 0;
else
{
cout << "Incorrect number, try again..." << endl; goto tryagain;
}
}
}
