【洛谷 P3398】仓鼠找sugar(lca)
听了教练的考前须知 蒟蒻紧张的要死 只想做信心题
同时满足:c或者d在x子树里 a或者b在y子树里 其中x=lca(a,b),y=lca(c,d)
#include<bits/stdc++.h>
#define N 100005
using namespace std;
template<class T>
inline void read(T &x)
{
x=0;
static char ch=getchar();
while(!isdigit(ch)) ch=getchar();
while(isdigit(ch)) x=x*10+ch-'0',ch=getchar();
}
struct Edge
{
int to,next;
}edge[2*N];
int n,Q,first[N],tot;
inline void addedge(int x,int y)
{
tot++;
edge[tot].to=y; edge[tot].next=first[x]; first[x]=tot;
}
int depth[N],father[N],size[N],maxson[N];
void dfs1(int now,int fa)
{
father[now]=fa;
depth[now]=depth[fa]+1;
size[now]=1;
for(int u=first[now];u;u=edge[u].next)
{
int vis=edge[u].to;
if(vis==fa) continue;
dfs1(vis,now);
size[now]+=size[vis];
if(size[maxson[now]]<size[vis]) maxson[now]=vis;
}
}
int top[N],dfn[N],sign;
void dfs2(int now,int topf)
{
top[now]=topf;
dfn[now]=++sign;
if(maxson[now]) dfs2(maxson[now],topf);
for(int u=first[now];u;u=edge[u].next)
{
int vis=edge[u].to;
if(vis==father[now]||vis==maxson[now]) continue;
dfs2(vis,vis);
}
}
inline int lca(int x,int y)
{
while(top[x]!=top[y])
{
if(depth[top[x]]<depth[top[y]]) swap(x,y);
x=father[top[x]];
}
if(depth[x]<depth[y]) swap(x,y);
return y;
}
int main()
{
read(n),read(Q);
for(int i=1,x,y;i<n;i++)
{
read(x),read(y);
addedge(x,y); addedge(y,x);
}
dfs1(1,0); dfs2(1,1);
while(Q--)
{
int flag=0;
int a,b,c,d,x,y;
read(a),read(b),read(c),read(d);
x=lca(a,b); y=lca(c,d);
if((dfn[x]<=dfn[c]&&dfn[c]<=dfn[x]+size[x]-1)||(dfn[x]<=dfn[d]&&dfn[d]<=dfn[x]+size[x]-1))
flag++; //如果c或者d在x子树里
if((dfn[y]<=dfn[a]&&dfn[a]<=dfn[y]+size[y]-1)||(dfn[y]<=dfn[b]&&dfn[b]<=dfn[y]+size[y]-1))
flag++;//如果a或者b在y子树里
(flag==2)?puts("Y"):puts("N");
}
}
QQ40523591~欢迎一起学习交流~