• Boruvka最小生成树模板


    #include <bits/stdc++.h>
    using namespace std;
    const int maxn = 5e3 + 5;
    const int maxm = 5e5 + 5;
    namespace MST {
    	struct edge {
    		int u, v, w;
    	}E[maxm];
    	int n, m;
    	int tot = 0;
    	void addedge(int u, int v, int w) {
    		E[++tot].u = u;
    		E[tot].v = v;
    		E[tot].w = w;
    	}
    
    	int fa[maxn];
    	void init() {
    		for (int i = 1; i <= n; i++) {
    			fa[i] = i;
    		}
    	}
    	int find(int x) {
    		return x == fa[x] ? x : fa[x] = find(fa[x]);
    	}
    	int Union(int u, int v) {
    		int fu = find(u), fv = find(v);
    		fa[fu] = fv;
    	}
    
    	int better(int i, int j) {
    		if (j == 0)return 1;
    		if (E[i].w != E[j].w) {
    			return E[i].w < E[j].w;
    		}
    		else return i < j;
    	}
    
    	int best[maxn];
    	int used[maxm];
    
    	int solve() {
    		int sum = 0, merge = 0;
    		bool isupdate = 1;
    		while (isupdate) {
    			isupdate = 0;
    			memset(best, 0, sizeof best);
    
    			for (int i = 1; i <= tot; i++) {//找到每个连通块的最短出边
    				if (used[i])continue;
    				int fu = find(E[i].u), fv = find(E[i].v);
    				if (fu == fv)continue;
    
    				if (better(i, best[fu]))best[fu] = i;
    				if (better(i, best[fv]))best[fv] = i;
    			}
    
    			for (int u = 1; u <= n; u++) {
    				if (best[u] && !used[best[u]]) {
    					isupdate = 1;
    					sum += E[best[u]].w;
    					merge++;
    					Union(E[best[u]].u, E[best[u]].v);
    					used[best[u]] = 1;
    				}
    			}
    		}
    		return merge == n - 1 ? sum : -1;
    	}
    }
    using namespace MST;
    int main() {
    	cin >> n >> m;
    	for (int i = 1; i <= m; i++) {
    		int u, v, w;
    		scanf("%d%d%d", &u, &v, &w);
    		addedge(u, v, w);
    	}
    	init();
    	int ans=solve();
    	if (ans != -1) {
    		cout << ans << endl;
    	}
    	else {
    		cout << "orz
    ";
    	}
    }
    
    
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  • 原文地址:https://www.cnblogs.com/ucprer/p/12405630.html
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