题解:先算出凸包,然后枚举凸包上的点计算即可
#include <cstdio> #include <cmath> #include <cstdlib> #include <iostream> using namespace std; const int N = 50005; const double eps = 1e-8; struct point {int x,y;}p[N], stack[N]; bool isZero(double x){return (x>0?x:-x)<eps;} double dis(point A, point B){return sqrt((A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y));} int crossProd(point A, point B, point C){return (B.x-A.x)*(C.y-A.y)-(B.y-A.y)*(C.x-A.x);} int cmp(const void *a, const void *b){ point*c=(point*)a; point*d=(point*)b; double k = crossProd(p[0], *c, *d); if (kdis(p[0], *d))) return 1; return -1; } int Graham(int n) { int x = p[0].x; int y = p[0].y; int mi = 0; for (int i=1; i<n; ++i) { if (p[i].x=2)--top; stack[++top]=p[i]; } return top; } double maxTrangle(int n) { int top=Graham(n); double area,maxArea = 0; for (int i=0;i<top;++i) { for (int j=i+1;j<top;++j) { for (int k=j+1;k<=top;++k) { area=crossProd(stack[i],stack[j],stack[k]); if (maxArea<area) maxArea=area; } } } return maxArea*0.5; } int main() { int n; while (scanf("%d", &n) != EOF) { for (int i=0; i<n; ++i) scanf ("%d%d", &p[i].x, &p[i].y); double ans = maxTrangle(n); printf ("%.2lf ", ans); } return 0; }