#include #include #include #define min(a,b) ((a)<(b)?(a):(b)) #define max(a,b) ((a)>(b)?(a):(b)) #define INF 0x3f3f3f3f const int N = 55; const double eps = 1e-6; int t, n; double dp[N][N]; struct Point { double x, y; void read() { scanf("%lf%lf", &x, &y); } } p[N]; double area(Point a, Point b, Point c) { return fabs((b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y)) / 2.0; } void init() { scanf("%d", &n); for (int i = 0; i < n; i++) p[i].read(); } bool judge(int i, int j, int k) { double s = area(p[i], p[j], p[k]); for (int x = 0; x < n; x++) { if (x == i || x == j || x == k) continue; double sum = area(p[i], p[j], p[x]) + area(p[i], p[k], p[x]) + area(p[k], p[j], p[x]); if (fabs(sum - s) < eps) return false; } return true; } double solve() { double ans = INF; for (int len = 2; len < n; len++) { for (int l = 0; l < n; l++) { int r = (l + len) % n; dp[l][r] = INF; for (int k = (l + 1) % n; k != r; k = (k + 1) % n) { if (!judge(l, k, r)) continue; dp[l][r] = min(dp[l][r], max(max(dp[l][k], dp[k][r]), area(p[l], p[k], p[r]))); } if (len == n - 1) ans = min(ans, dp[l][r]); } } return ans; } int main() { scanf("%d", &t); while (t--) { init(); printf("%.1lf\n", solve()); } return 0; }