[POJ 1316] 树上的询问

[题目链接]

https://www.lydsy.com/JudgeOnline/problem.php?id=1316

[算法]

点分治

由于边权较大，笔者在计算时使用了STL-set

注意当询问为0时，要输出"Yes"

[代码]

#include<bits/stdc++.h>
using namespace std;
#define MAXN 10010
#define MAXQ 110
 
struct Edge
{
    int to,w,nxt;
} e[MAXN<<];
 
int i,n,q,tot,root,u,v,w,len;
int size[MAXN],head[MAXN],weight[MAXN],sum[MAXN],val[MAXN],a[MAXQ];
bool visited[MAXN],ans[MAXQ];
 
inline void addedge(int u,int v,int w)
{
    tot++;
    e[tot] = (Edge){v,w,head[u]};
    head[u] = tot;
}
inline void getroot(int u,int fa,int total)
{
    int i,v;
    size[u] = ;
    weight[u] = ;
    for (i = head[u]; i; i = e[i].nxt)
    {
        v = e[i].to;
        if (fa != v && !visited[v])
        {
            getroot(v,u,total);
            size[u] += size[v];
            weight[u] = max(weight[u],size[v]);
        }
    }
    weight[u] = max(weight[u],total - size[u]);
    if (weight[u] < weight[root]) root = u;
}
inline void dfs(int u,int fa)
{
    int i,v,w;
    val[++len] = sum[u];
    for (i = head[u]; i; i = e[i].nxt)
    {
        v = e[i].to;
        w = e[i].w;
        if (v != fa && !visited[v])
        {
            sum[v] = sum[u] + w;
            dfs(v,u);
        }
    }
}
inline void calc(int u)
{
    int i,j,k,v,w;
    set< int > s;
    s.clear();
    s.insert();
    for (i = head[u]; i; i = e[i].nxt)
    {
        v = e[i].to;
        w = e[i].w;
        if (!visited[v])
        {
            sum[v] = w;
            len = ;
            dfs(v,u);
            for (j = ; j <= len; j++)
            {
                for (k = ; k <= q; k++)
                {
                    if (s.find(a[k] - val[j]) != s.end())
                        ans[k] = true;
                }
            }
            for (j = ; j <= len; j++) s.insert(val[j]);
        }
    }
}
inline void work(int u)
{
    int i,v;
    visited[u] = true;
    calc(u);
    for (i = head[u]; i; i = e[i].nxt)
    {
        v = e[i].to;
        if (!visited[v])
        {
            root = ;
            getroot(v,,size[v]);
            work(root);
        }
    }
}
 
int main()
{
 
    scanf("%d%d",&n,&q);
    for (i = ; i < n; i++)
    {
        scanf("%d%d%d",&u,&v,&w);
        addedge(u,v,w);
        addedge(v,u,w);
    }
    for (i = ; i <= q; i++) scanf("%d",&a[i]);
    root = ;
    size[] = weight[] = n;
    getroot(,,n);
    work(root);
    for (i = ; i <= q; i++) printf((ans[i] || a[i] == ) ? "Yes\n" : "No\n");
 
    return ;
}