OJ-Problems-Source/HDOJ/5462_autoAC.cpp
KiritoTRw b39288d6ef Powered By HC TECH : AutoACer Engine
5400-5504(END by now)
2016-09-13 04:55:33 +08:00

205 lines
5.2 KiB
C++

#include <iostream>
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <math.h>
using namespace std;
typedef long long LL;
const int maxn = 1005;
const double eps = 1e-7;
struct Point
{
double x, y;
Point(double x = 0, double y = 0) : x(x), y(y) { }
bool operator < (const Point &a) const {
return a.x < x || (a.x == x && a.y < y);
}
};
typedef Point Vector;
struct Line
{
Point P;
Vector v;
double ang;
Line() {}
Line(Point P, Vector v) : P(P), v(v) { ang = atan2(v.y, v.x); }
bool operator < (const Line &L) const {
return ang < L.ang;
}
};
Vector operator + (Vector A, Vector B)
{
return Vector(A.x + B.x, A.y + B.y);
}
Vector operator - (Vector A, Vector B)
{
return Vector(A.x - B.x, A.y - B.y);
}
Vector operator * (Vector A, double p)
{
return Vector(A.x * p, A.y * p);
}
Vector operator / (Vector A, double p)
{
return Vector(A.x / p, A.y / p);
}
int dcmp(double x)
{
if(fabs(x) < eps) return 0;
else return x < 0 ? -1 : 1;
}
double Dot(Vector A, Vector B)
{
return A.x * B.x + A.y * B.y;
}
double Length(Vector A)
{
return sqrt(Dot(A, A));
}
double Angle(Vector A, Vector B)
{
return acos(Dot(A, B) / Length(A) / Length(B));
}
double Cross(Vector A, Vector B)
{
return A.x * B.y - A.y * B.x;
}
double Area2(Point A, Point B, Point C)
{
return Cross(B - A, C - A);
}
double PolyonArea(Point *p, int n)
{
double area = 0;
for(int i = 1; i < n-1; i++)
area += Cross(p[i] - p[0], p[i+1] - p[0]);
return area / 2;
}
Vector Rotate(Vector A, double rad)
{
return Vector(A.x * cos(rad) - A.y * sin(rad), A.x * sin(rad) + A.y * cos(rad));
}
Vector Normal(Vector A)
{
double L = Length(A);
return Vector(-A.y / L, A.x / L);
}
bool OnLeft(Line L, Point p)
{
return Cross(L.v, p - L.P) > 0;
}
Point GetIntersection(Line a, Line b)
{
Vector u = a.P - b.P;
double t = Cross(b.v, u) / Cross(a.v, b.v);
return a.P + a.v * t;
}
int ConvexHull(Point *p, int n, Point *ch)
{
sort(p, p+n);
int m = 0;
for(int i = 0; i < n; i++) {
while(m > 1 && Cross(ch[m-1] - ch[m-2], p[i] - ch[m-2]) <= 0) m--;
ch[m++] = p[i];
}
int k = m;
for(int i = n-2; i >= 0; i--) {
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;
}
Point p[maxn];
Line q[maxn];
int HalfplaneInersection(Line* L, int n, Point* poly)
{
sort(L, L+n);
int first, last;
q[first = last = 0] = L[0];
for(int i = 1; i < n; i++) {
while(first < last && !OnLeft(L[i], p[last - 1])) last--;
while(first < last && !OnLeft(L[i], p[first])) first++;
q[++last] = L[i];
if(fabs(Cross(q[last].v, q[last-1].v)) < eps) {
last--;
if(OnLeft(q[last], L[i].P)) q[last] = L[i];
}
if(first < last) p[last-1] = GetIntersection(q[last-1], q[last]);
}
while(first < last && !OnLeft(q[first], p[last-1])) last--;
if(last - first <= 1) return 0;
p[last] = GetIntersection(q[last], q[first]);
int m = 0;
for(int i = first; i <= last; i++) poly[m++] = p[i];
return m;
}
double PolygonArea(Point *p, int n) {
double area = 0;
for(int i = 1; i < n-1; i++)
area += Cross(p[i] - p[0], p[i+1] - p[0]);
return fabs(area / 2);
}
Point poly[1005];
Point g[105][2005];
Point P2[10];
Line line[105];
double twox[105][2005];
double twoy[105][2005];
double xx[105][2005];
double yy[105][2005];
int n, m;
void work()
{
scanf("%d%d", &n, &m);
for(int i = 1; i <= n; i++) {
twox[i][0] = twoy[i][0] = xx[i][0] = yy[i][0] = 0;
for(int j = 1; j <= m; j++) {
scanf("%lf%lf", &g[i][j].x, &g[i][j].y);
twox[i][j] = g[i][j].x * g[i][j].x;
twoy[i][j] = g[i][j].y * g[i][j].y;
twox[i][j] += twox[i][j-1];
twoy[i][j] += twoy[i][j-1];
xx[i][j] = g[i][j].x + xx[i][j-1];
yy[i][j] = g[i][j].y + yy[i][j-1];
}
}
for(int i = 1; i <= n; i++) {
int cnt = 0;
for(int j = 1; j <= n; j++) {
if(i == j) continue;
double a = 0, b = 0, c = 0;
a = 2 * (xx[i][m] - xx[j][m]);
b = 2 * (yy[i][m] - yy[j][m]);
c += twox[j][m] + twoy[j][m];
c -= twox[i][m] + twoy[i][m];
Point P;
Vector v(b, -a);
if(fabs(a) > fabs(b)) P = Point(-c / a, 0);
else P = Point(0, -c / b);
line[cnt++] = Line(P, v);
}
for(int j = 0; j < 4; j++) {
line[cnt++] = Line(P2[j], P2[(j+1)%4] - P2[j]);
}
int t = HalfplaneInersection(line, cnt, poly);
double area = PolygonArea(poly, t);
int ans = area + 0.5;
printf("%d%c", ans, i == n ? '\n' : ' ');
}
}
int main()
{
P2[0] = Point(0, 0);
P2[1] = Point(4095, 0);
P2[2] = Point(4095, 4095);
P2[3] = Point(0, 4095);
int _;
scanf("%d", &_);
for(int i = 1; i <= _; i++) {
printf("Case #%d: ", i);
work();
}
return 0;
}