prim
#include <iostream>
#include <algorithm>
#include <cstring>
using namespace std;
const int N = 510, inf = 0x3f3f3f3f;
int g[N][N], dis[N];
int n, m;
bool vis[N];
void prim()
{
memset(dis, 0x3f, sizeof dis);
dis[1] = 0;
for (int i = 1; i < n; i++)
{
int x = 0;
for (int j = 1; j <= n; j++)
if (!vis[j] && (x == 0 || dis[j] < dis[x]))
x = j;
vis[x] = true;
for (int y = 1; y <= n; y++)
{
if (!vis[y])
dis[y] = min(dis[y], g[x][y]);
}
}
}
int main()
{
cin >> n >> m;
memset(g, 0x3f, sizeof g);
for (int i = 1; i <= m; i++)
{
int x, y, z;
cin >> x >> y >> z;
g[x][y] = g[y][x] = min(g[x][y], z);
}
prim();
int ans = 0;
for (int i = 1; i <= n; i++)
ans += dis[i];
if (ans > inf / 2) //存在不連通的點
cout << "impossible" << endl;
else
cout << ans << endl;
return 0;
}
kruskal
#include <algorithm>
#include <iostream>
#include <cstring>
using namespace std;
const int N = 1e5 + 10;
struct node
{
int x, y, z;
bool operator<(const node &a) const
{
return z < a.z;
}
} e[N * 2];
int p[N], n, m;
void init(int n)
{
for (int i = 0; i <= n; i++)
p[i] = i;
}
int find(int x)
{
if (x == p[x])
return x;
return p[x] = find(p[x]);
}
int main()
{
cin.tie(0);
ios::sync_with_stdio(false);
cin >> n >> m;
init(n);
for (int i = 0; i < m; i++)
{
int x, y, z;
cin >> x >> y >> z;
e[i] = {x, y, z};
}
sort(e, e + m);
int ans = 0;
for (int i = 0; i < m; i++)
{
int x = e[i].x;
int y = e[i].y;
int z = e[i].z;
x = find(x);
y = find(y);
if (x != y)
{
ans += z;
p[x] = y;
}
}
int fa = find(1);
bool flag = true; //判斷是否全部在一棵樹上
for (int i = 2; i <= n; i++)
{
if (fa != find(i))
flag = false;
}
if (flag)
cout << ans << endl;
else
cout << "impossible" << endl;
return 0;
}