| 比赛 |
2025.10.24 |
评测结果 |
AAAAAAAAAAAATTAATTTT |
| 题目名称 |
坡伊踹 |
最终得分 |
70 |
| 用户昵称 |
徐诗畅 |
运行时间 |
39.867 s |
| 代码语言 |
C++ |
内存使用 |
36.78 MiB |
| 提交时间 |
2025-10-24 11:26:30 |
显示代码纯文本
#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=2e5+5;
int n,q,t[N<<2],a[N],b[N];
int head[N],cnt;
inline int read()
{
int x=0,f=1;
char ch=getchar();
while(ch<'0'||ch>'9')
{
if(ch=='-')
f=-1;
ch=getchar();
}
while(ch>='0' && ch<='9')
x=x*10+ch-'0',ch=getchar();
return x*f;
}
struct edge{int v,w,nex;}e[N<<1];
void addedge(int u,int v,int w){
e[++cnt].v=v;
e[cnt].w=w;
e[cnt].nex=head[u];
head[u]=cnt;
}
void push_up(int p){t[p]=min(t[p<<1],t[p<<1|1]);}
void build(int p,int l,int r){
if(l==r){t[p]=b[l]; return;}
int mid=(l+r)>>1;
build(p<<1,l,mid);
build(p<<1|1,mid+1,r);
push_up(p);
}
int query(int p,int l,int r,int L,int R){
if(L<=l&&R>=r) return t[p];
int mid=(l+r)>>1;
int res=2e14;
if(L<=mid) res=min(res,query(p<<1,l,mid,L,R));
if(R>mid) res=min(res,query(p<<1|1,mid+1,r,L,R));
return res;
}
int dfn[N],siz[N],son[N],deep[N],dis[N],fa[N][21],num,top[N];
void dfs1(int u,int f){
fa[u][0]=f; siz[u]=1; deep[u]=deep[f]+1;
for(int i=1;(1<<i)<=deep[u];i++)
fa[u][i]=fa[fa[u][i-1]][i-1];
for(int i=head[u];i;i=e[i].nex){
int v=e[i].v; if(v==f) continue;
dis[v]=dis[u]+e[i].w;
dfs1(v,u); siz[u]+=siz[v];
if(siz[v]>siz[son[u]]) son[u]=v;
}
}
void dfs2(int u,int tp){
top[u]=tp; dfn[u]=++num; b[num]=a[u];
if(!son[u]) return;
dfs2(son[u],tp);
for(int i=head[u];i;i=e[i].nex){
int v=e[i].v; if(v==fa[u][0]||v==son[u]) continue;
dfs2(v,v);
}
}
int ask(int u,int v){
int res=2e14;
while(top[u]!=top[v]){
if(deep[top[u]]<deep[top[v]]) swap(u,v);
res=min(res,query(1,1,n,dfn[top[u]],dfn[u]));
u=fa[top[u]][0];
}
if(deep[u]<deep[v]) swap(u,v);
res=min(res,query(1,1,n,dfn[v],dfn[u]));
return res;
}
int LCA(int u,int v){
while(top[u]!=top[v]){
if(deep[top[u]]<deep[top[v]]) swap(u,v);
u=fa[top[u]][0];
}
if(deep[u]<deep[v]) return u;
return v;
}
int jump(int u, int d){
int cur=u;
for(int i=18;i>=0;i--){ //cout<<cur<<" "<<i<<" "<<fa[cur][i]<<endl;
if(fa[cur][i]&&dis[u]-dis[fa[cur][i]]<=d){
cur=fa[cur][i];
}
}
return cur;
}
/*int jump1(int u, int d){
int cur=u;
for(int i=18;i>=0;i--){
if(fa[cur][i]&&dis[u]-dis[cur]<d&&dis[u]-dis[fa[cur][i]]>d){
cur=fa[cur][i];
}
}
return cur;
}*/
int solve(int u,int v){
int lca=LCA(u,v);
int L=dis[u]+dis[v]-2*dis[lca];
int d1=dis[u]-dis[lca];
int l=0,r=2e14;
int ans=r;
while(l<=r){
int mid=(l+r)>>1;
int x0;
if(mid>=L){x0=v;}
else{
if(mid<=d1) x0=jump(u,mid);
else{
int re=mid-d1;
int th=dis[lca]+re;
int cur=v;
for(int i=18;i>=0;i--){
if(fa[cur][i]&&dis[fa[cur][i]]>th) cur=fa[cur][i];
}
if(dis[cur]>th) cur=fa[cur][0];
x0=cur;
}
}
int mina=ask(u,x0);
// cout<<u<<" "<<x0<<" "<<ask(u,x0)<<" "<<mid<<endl;
if(mina<=mid){
ans=mid;
r=mid-1;
}
else l=mid+1;
}
return ans;
}
void write(int x)
{
if(x<0)
putchar('-'),x=-x;
if(x>9)
write(x/10);
putchar(x%10+'0');
return;
}
signed main(){
freopen("poitry.in","r",stdin);
freopen("poitry.out","w",stdout);
n=read(); q=read();
for(int i=1;i<=n;i++) a[i]=read();
for(int i=1;i<n;i++){
int u,v,w; u=read(); v=read(); w=read();
addedge(u,v,w); addedge(v,u,w);
}
dfs1(1,0); dfs2(1,1);
build(1,1,n); //cout<<jump1(5,4);
while(q--){
int u,v; scanf("%lld%lld",&u,&v);
write(solve(u,v)); cout<<"\n";
}
return 0;
}