#include typedef double ptype; using namespace std; struct Point { ptype x, y; Point() {} Point(ptype x_, ptype y_): x(x_), y(y_) {} }; int N; double R; vector vert; Point center; bool getCenter(Point p1, Point p2) { double d2 = pow(p1.x - p2.x, 2) + pow(p1.y - p2.y, 2); double det = R * R / d2 - 0.25; if (det < 0.0) return false; double h = sqrt(det); center.x = (p1.x + p2.x) * 0.5 + (p1.y - p2.y) * h; center.y = (p1.y + p2.y) * 0.5 + (p2.x - p1.x) * h; return true; } bool packed () { for (Point p_i: vert) { double dis = pow(p_i.x - center.x, 2) + pow(p_i.y - center.y, 2); if (dis > R * R) return false; } return true; } bool possible () { for (int i = 0; i < N; i++) { for (int j = i + 1; j < N; j++) { if (getCenter(vert[i], vert[j]) and packed()) return true; if (getCenter(vert[j], vert[i]) and packed()) return true; } } return false; } bool readCase () { scanf("%d", &N); if (N == 0) return false; vert.resize(N); for (int i = 0; i < N; i++) scanf("%lf %lf", &vert[i].x, &vert[i].y); scanf("%lf", &R); return true; } inline void clear () { vert.clear(); } int main () { while (readCase()) { puts(possible() ? "The polygon can be packed in the circle." : "There is no way of packing that polygon."); clear(); } return (0); }