858. Prim算法求最小生成树
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2024-03-25 08:37:29
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与朴素版dijkstra算法思路类似,只不过dist数组存的是到集合的距离,而dijkstra存的是到源点的距离
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
const int N = 510, INF = 0x3f3f3f3f;
int n, m;
int g[N][N];
int dist[N];//表示某点到集合的最小距离
bool st[N];
int prim()
{
memset(dist,0x3f,sizeof dist);
int res = 0;
for(int i = 0;i<n;i++)
{
int t = -1;
for(int j = 1;j<=n;j++)
{
if(!st[j] && (t == -1 || dist[j] < dist[t]))t = j;
}
if(i && dist[t] == INF)return INF;
if(i)res += dist[t];
st[t] = true;
for(int j = 1;j<=n;j++)dist[j] = min(dist[j],g[t][j]);
}
return res;
}
int main()
{
scanf("%d%d", &n, &m);
memset(g, 0x3f, sizeof g);
while (m -- )
{
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
g[a][b] = g[b][a] = min(g[a][b], c);
}
int t = prim();
if (t == INF) puts("impossible");
else printf("%d\n", t);
return 0;
}