XVII OpenCup - Gran Prix of Eurasia - Problem 12

#include <bits/stdc++.h>

using namespace std;

const long double pi = 3.1415926535897932384626433832795;

const long double EPS = 1e-7;

long double px, py, qx, qy;
long double ux, uy;
long double v;
int n;

int main()
{
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    //freopen("","r",stdin);
    //freopen("","w",stdout);

    cin >> px >> py >> qx >> qy >> ux >> uy >> v >> n;

    long double x, y;
    x = qx-px;
    y = qy-py;
    long double r = sqrt(x*x + y*y);
    for(int i = 0; i < n; i++){
        long double t;
        cin >> t;

        long double cycles = t*v/2/pi/r;
        cycles -= (int)cycles;

        long double degree = cycles*2*pi;

        long double cosd = cos(degree);
        long double sind = sin(degree);

        long double endx, endy;

        endx = (x*cosd - y*sind) + px;
        endy = (x*sind + y*cosd) + py;

        endx += ux*t;
        endy += uy*t;

        cout << endx << " " << endy << endl;
    }

    return 0;
}