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  • 洛谷P1967货车运输

    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    #define N 100010
    #define INF 0xfffff
    using namespace std;
    int n, m, q, x, y, cnt;
    int head[N], nxt[N*2], to[N*2], w[N*2], p[N*5], f[N][20], minv[N][20], dep[N];
    struct Edge{
    int x, y, z;
    bool operator < (const Edge& rhs) const {
    return z > rhs.z;
    }
    }e[N*5];
    inline void read(int& x)
    {
    x = 0; char ch = getchar();
    while(ch < '0' || ch > '9') ch = getchar();
    while(ch >= '0' && ch <= '9') x = x*10 + ch - '0', ch = getchar();
    }
    inline void Add(int x, int y, int z)
    {
    to[cnt] = y;
    w[cnt] = z;
    nxt[cnt] = head[x];
    head[x] = cnt++;
    }
    inline int find(int x)
    {
    return p[x] == x ? x : p[x] = find(p[x]);
    }
    inline void kruskal()
    {
    for(int i=0;i<m;i++) p[i] = i;
    sort(e, e+m);
    for(int i=0;i<m;i++)
    if(find(e[i].x) != find(e[i].y)){
    Add(e[i].x, e[i].y, e[i].z);
    Add(e[i].y, e[i].x, e[i].z);
    p[find(e[i].x)] = find(e[i].y);
    }
    }
    inline void DFS(int x, int p)
    {
    for(int i=head[x];~i;i=nxt[i])
    if(i != p){
    dep[to[i]] = dep[x] + 1;
    f[to[i]][0] = x;
    minv[to[i]][0] = w[i];
    DFS(to[i], i^1);
    }
    }
    inline int lca(int x, int y)
    {
    int ans = INF;
    if(dep[x] > dep[y]) swap(x, y);
    for(int i=15;i>=0;i--) if(dep[f[y][i]] >= dep[x]){
    ans = min(ans, minv[y][i]);
    y = f[y][i];
    }
    if(x == y) return ans;
    for(int i=15;i>=0;i--) if(f[x][i] != f[y][i]) {
    ans = min(ans, min(minv[x][i], minv[y][i]));
    x = f[x][i];
    y = f[y][i];
    }
    return f[x][0] == 0 ? -1 : min(ans, min(minv[x][0], minv[y][0]));
    }
    int main()
    {
    read(n); read(m);
    for(int i=0;i<m;i++)
    read(e[i].x), read(e[i].y), read(e[i].z);
    memset(head, -1, sizeof(head));
    kruskal();
    dep[1] = 1;
    DFS(1, -1);
    for(int j=1;j<=15;j++)
    for(int i=1;i<=n;i++){
    f[i][j] = f[f[i][j-1]][j-1];
    minv[i][j] = min(minv[i][j-1], minv[f[i][j-1]][j-1]);
    }
    read(q);
    while(q--){
    read(x); read(y);
    printf("%d ", lca(x, y));
    }
    return 0;
    }

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  • 原文地址:https://www.cnblogs.com/D-AngeloRussell/p/6308580.html
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