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#include <iostream>
#include <ctime>
#include <cstdlib>
#include <math.h>
using namespace std;
int main()
{
//beginning of creation of random numbers
srand(time(NULL));
int x, y;
bool xsign, ysign;
int arrX[5];
int arrY[5];
for (int i = 0; i < 5; i++)
{
x = rand() % 100;
y = rand() % 100;
xsign = rand() % 2;
ysign = rand() % 2;
if (xsign) x *= -1;
if (ysign) y *= -1;
arrX[i] = x;
arrY[i] = y;
}
for (int i = 0; i < 5; i++)
{
printf("%3d %3d\n", arrX[i], arrY[i]);
}
//end of creation of random numbers
//beginning of center of gravity
double cen_x, cen_y;
printf("centre of gravity is");
cen_x = (arrX[1] + arrX[2] + arrX[0] + arrX[3] + arrX[4]) / 5;
cen_y = (arrY[1] + arrY[2] + arrY[0] + arrY[3] + arrY[4]) / 5;
printf("%lf , %lf\n", cen_x, cen_y);
//end of center of gravity
//beginning of rotation of the set
for (int i = 0; i < 5; i++)
{
double rot_x, rot_y;
printf("rotate points are:");
rot_x = arrX[i] * cos(0.122) - arrY[i] * sin(0.122);
rot_y = arrX[i] * cos(0.122) + arrY[i] * sin(0.122);
printf("%lf %lf\n", rot_x, rot_y);
}
//end of rotation of the set
//beginning of the cumulative distance
double dist_0, dist_1, dist_2, dist_3, dist_4, dist_total;
dist_0 = sqrt(arrX[0] * arrX[0] + arrY[0] * arrY[0]);
dist_1 = sqrt(arrX[1] * arrX[1] + arrY[1] * arrY[1]);
dist_2 = sqrt(arrX[2] * arrX[2] + arrY[2] * arrY[2]);
dist_3 = sqrt(arrX[3] * arrX[3] + arrY[3] * arrY[3]);
dist_4 = sqrt(arrX[4] * arrX[4] + arrY[4] * arrY[4]);
dist_total = dist_0 + dist_1 + dist_2 + dist_3 + dist_4;
printf("total distance=");
printf("%lf\n", dist_total);
//end of cumulative distance
return 0;
}
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