rt,Floyd+并查集
#include<bits/stdc++.h>
using namespace std;
const int N = 1e2 + 55;
struct node
{
int x, y;
}a[N];
int n, fa[N];
double g[N][N], ans = -1e9, maxi[N];
double get_dis(int x, int y)
{
int dx = (abs(a[x].x - a[y].x)) * (abs(a[x].x - a[y].x));
int dy = (abs(a[x].y - a[y].y)) * (abs(a[x].y - a[y].y));
return sqrt(dx + dy);
}
int find(int x)
{
if (fa[x] == x)
return x;
return fa[x] = find(fa[x]);
}
void merge(int x, int y)
{
int fx = find(x), fy = find(y);
if (fx == fy)
return;
fa[fy] = fx;
return;
}
void floyd()
{
for (int k = 1; k <= n; k++)
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
g[i][j] = min(g[i][j], g[i][k] + g[k][j]);
return;
}
int main()
{
cin >> n;
memset(g, 0x3f, sizeof(g));
for (int i = 1; i <= n; i++)
cin >> a[i].x >> a[i].y;
for (int i = 1; i <= n; i++)
g[i][i] = 0;
for (int i = 1; i <= n; i++)
fa[i] = i;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
{
char c;
cin >> c;
if (c == '1')
{
double w = get_dis(i, j);
g[i][j] = w;
merge(i, j);
}
}
floyd();
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
{
int fx = find(i), fy = find(j);
if (fx == fy)
maxi[fx] = max(maxi[fx], g[i][j]);
}
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
{
int fx = find(i), fy = find(j);
if (fx != fy)
{
double dis = get_dis(i, j);
double mx = maxi[fx], my = maxi[fy];
ans = max(ans, max(mx + my + dis, max(mx, my)));
}
}
cout << fixed << setprecision(6) << ans;
return 0;
}