#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define FF(i, a, b) for(int i=a; i=b; i--) #define REP(i, n) for(int i=0; i 1 && Cross(ch[m-1]-ch[m-2], p[i]-ch[m-2]) <= 0) m--; ch[m++] = p[i]; } int k = m; FD(i, n-2, 0) { while(m > k && Cross(ch[m-1]-ch[m-2], p[i]-ch[m-2]) <= 0) m--; ch[m++] = p[i]; } if(n > 1) m--; return m; } inline double dist(Point a, Point b) { return sqrt((a.x - b.x)*(a.x - b.x) + (a.y - b.y)*(a.y - b.y)); } double fermat_point(Point *pt, int n, Point& ptres) { Point u, v; double step = 0.0, curlen, explen, minlen; int i, j, k, idx; bool flag; u.x = u.y = v.x = v.y = 0.0; REP(i, n) { step += fabs(pt[i].x) + fabs(pt[i].y); u.x += pt[i].x; u.y += pt[i].y; } u.x /= n; u.y /= n; flag = 0; while(step > eps) { for(k = 0; k < 10; step /= 2, ++k) for(i = -1; i <= 1; ++i) for(j = -1; j <= 1; ++j) { v.x = u.x + step*i; v.y = u.y + step*j; curlen = explen = 0.0; REP(idx, n) { curlen += dist(u, pt[idx]); explen += dist(v, pt[idx]); } if(curlen > explen) { u = v; minlen = explen; flag = 1; } } } ptres = u; return flag minlen : curlen; } int main() { scanf("%d", &T); while(T--) { scanf("%d", &n); REP(i, n) scanf("%lf%lf", &p[i].x, &p[i].y); int m = ConvexHull(p, n, pt); double ans = fermat_point(pt, m, ft); printf("%.0f\n", ans); if(T > 0) puts(""); } return 0; }