#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;
}
}
}
