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| #include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <vector>
#include <functional>
using namespace std;
const int INFI = 1 << 30;
const int MAXN = 110;
const int MAXNODEINISLAND = 15;
const int MAXNODE = 50;
typedef struct pt
{
double x, y;
pt() {}
pt(double _x, double _y): x(_x), y(_y) {}
} Point;
typedef Point PointGroup[MAXN];
PointGroup riverBandA, riverBandB;
PointGroup islands[MAXNODEINISLAND];
int nodeinislands[MAXNODEINISLAND];
double cost[MAXNODE];
bool visited[MAXNODE];
double adj[MAXNODE][MAXNODE];
double distance_p(const Point &a, const Point &b) {
return hypot((a.x-b.x), (a.y-b.y));
}
double dot(const Point &a, const Point &b, const Point &c) {
return (b.x - a.x)*(c.x - a.x) + (b.y - a.y)*(c.y - a.y);
}
double distance_abc(const Point &c, const Point &a, const Point &b) {
double dot1 = dot(a, b, c);
double dot2 = dot(b, a, c);
double l1 = distance_p(a, c);
if(dot1 > 0 && dot2 > 0) {
double l = distance_p(a, b);
double cosv = dot1/l1/l;
return l1 * sqrt(1 - cosv*cosv);
} else {
return min(l1, distance_p(b, c));
}
}
void read_input(int r1, int r2, int n) {
for (int i = 0; i < r1; ++i) {
scanf("%lf%lf", &riverBandA[i].x, &riverBandA[i].y);
}
for (int i = 0; i < r2; ++i) {
scanf("%lf%lf", &riverBandB[i].x, &riverBandB[i].y);
}
for (int i = 0; i < n; ++i) {
scanf("%d", &nodeinislands[i]);
for(int j = 0; j < nodeinislands[i]; ++j) {
scanf("%lf%lf", &islands[i][j].x, &islands[i][j].y);
}
}
}
double distance_gp(PointGroup &a, int lena, PointGroup &b, int lenb, bool isbina, bool isbinb) {
double minV = INFI;
for (int i = 0; i < lena; ++i) {
for (int j = 0; j < lenb; ++j) {
if(isbinb && lenb - 1 == j) break;
minV = min(minV, distance_abc(a[i], b[j], b[(j+1)%lenb]));
}
}
for (int i = 0; i < lenb ; ++i) {
for (int j = 0; j < lena; ++j) {
if(isbina && lena - 1 == j) break;
minV = min(minV, distance_abc(b[i], a[j], a[(j+1)%lena]));
}
}
return minV;
}
void build_network(int r1, int r2, int n) {
adj[0][1] = adj[1][0] = distance_gp(riverBandA, r1, riverBandB, r2, true, true);
for (int i = 0; i < n; ++i) {
adj[0][i + 2] = adj[i + 2][0] = distance_gp(riverBandA, r1, islands[i], nodeinislands[i], true, false);
adj[1][i + 2] = adj[i + 2][1] = distance_gp(riverBandB, r2, islands[i], nodeinislands[i], true, false);
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
adj[i + 2][j + 2] = adj[j + 2][i + 2] = distance_gp(islands[i], nodeinislands[i], islands[j], nodeinislands[j], false, false);
}
}
}
double shortest_distance(int ncount, int startidx, int endidx) {
memset(visited, false, sizeof(visited));
for (int i = 0; i < ncount; ++i)
cost[i] = INFI;
cost[startidx] = 0;
for(int k = 0; k < ncount; ++k) {
int a = -1;
double minV = INFI;
for (int i = 0; i < ncount; ++i) {
if (!visited[i] && cost[i] < minV) {
minV = cost[i];
a = i;
}
}
if (a == -1)
break;
visited[a] = true;
for (int i = 0; i < ncount; ++i) {
if (a == i || visited[i])
continue;
if(cost[a] + adj[a][i] < cost[i])
cost[i] = cost[a] + adj[a][i];
}
}
return cost[endidx];
}
int main() {
int nscen;
int r1, r2, n;
scanf("%d", &nscen);
for (int i = 0; i < nscen; ++i) {
scanf("%d%d%d", &r1, &r2, &n);
read_input(r1, r2, n);
build_network(r1, r2, n);
double s_dist = shortest_distance(n + 2, 0, 1);
printf("%.3lf\n", s_dist);
}
return 0;
}
|