hdu 5723(最小生成树)
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#include <bits/stdc++.h>#pragma comment(linker, "/STACK:102400000,102400000")using namespace std;#define LL long long#define pii pair<int,int>#define MP make_pair#define ls i << 1#define rs ls | 1#define md (ll + rr >> 1)#define lson ll, md, ls#define rson md + 1, rr, rs#define Pi acos(-1.0)#define mod 1000000007#define eps 1e-12#define inf 0x3f3f3f3f#define N 200010#define M 1000020struct edge{ int u, v, w; void input(){ scanf("%d%d%d", &u, &v, &w); }}ee[M];int n, m, fa[N], c[M], id[M];int fst[N], vv[M], nxt[M], cost[M], e;int sz[N];LL ans;void init(){ memset(fst, -1, sizeof fst); e = 0;}void add(int u, int v, int w){ vv[e] = v, nxt[e] = fst[u], cost[e] = w, fst[u] = e++;}void dfs(int u, int p){ sz[u] = 1; for(int i = fst[u]; ~i; i = nxt[i]){ int v = vv[i]; if(v == p) continue; dfs(v, u); sz[u] += sz[v]; ans += 1LL * (n - sz[v]) * sz[v] * cost[i]; }}int find(int x){ if(fa[x] != x) fa[x] = find(fa[x]); return fa[x];}int main(){ int cas; scanf("%d", &cas); while(cas--){ ans = 0; scanf("%d%d", &n, &m); memset(c, 0, sizeof c); for(int i = 1; i <= m; ++i){ ee[i].input(); c[ee[i].w]++; } for(int i = 1; i < M; ++i) c[i] += c[i-1]; for(int i = 1; i <= m; ++i) id[c[ee[i].w]--] = i; for(int i = 0; i <= n; ++i) fa[i] = i; init(); LL tot = 0; for(int i = 1; i <= m; ++i){ int x = id[i], u = ee[x].u, v = ee[x].v, w = ee[x].w; if(find(u) == find(v)) continue; fa[find(u)] = find(v); add(u, v, w); add(v, u, w); tot += w; } dfs(1, -1); double ret = 1.0 * ans / n / (n -1) * 2; printf("%lld %.2f\n", tot, ret); } return 0;}
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