【几何】2011 regional Beijing Site B——Hou Yi's secret——hdu 4082
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注意重点&三点共线的情况。还有蛋疼的精度!
#define N 20#define eps 1e-8struct node { int x,y;}p[N];struct edge { double l[3];};edge tri[3*N*N];bool dd(double x,double y) { return fabs( x - y ) < eps;} double dis(node a, node b) { return sqrt((a.x - b.x) * (a.x - b.x)*1.0 + (a.y - b.y) * (a.y - b.y)*1.0);}bool chk(node a, node b, node c) { if ((b.y - a.y) * (c.x - a.x) == (c.y - a.y) * (b.x - a.x))return true; return false;}bool cmp1(node a, node b) { if (a.x == b.x)return a.y < b.y; return a.x < b.x;}bool cmp2(node a, node b) { return (a.x == b.x) && (a.y == b.y);}bool similar(double *a, double *b) { if(dd(a[0]/b[0], a[1]/b[1]) && dd(a[1]/b[1], a[2]/b[2]))return true; return false;}int gao(int n) { int i,j,k; sort(p,p+n,cmp1); n = unique(p,p+n,cmp2) - p; int cnt = 0; bool tag = 0; for (i = 0; i < n; i++) { for (j = i + 1; j < n; j++) { for (k = j + 1; k < n; k++) { if (chk(p[i], p[j], p[k]))continue; tag = 1; tri[cnt].l[0] = dis(p[i], p[j]); tri[cnt].l[1] = dis(p[i], p[k]); tri[cnt].l[2] = dis(p[j], p[k]); sort(tri[cnt].l, tri[cnt].l + 3); cnt++; } } } if(!tag)return 0; int maxm = 1; for (i = 0; i < cnt; i++) { int num = 1; for (j = 0; j < cnt; j++) { if(i == j)continue; if( similar(tri[i].l, tri[j].l) )num++; } maxm = max (maxm, num); } return maxm;}int main() { int n; while( scanf("%d",&n) && n) { int i; for (i = 0; i < n; i++) scanf("%d%d",&p[i].x, &p[i].y); int ans = gao(n); printf("%d\n",ans); } return 0;}
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