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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#282815#5148. Tree DistanceWanXiangYunTL 8ms73492kbC++144.0kb2023-12-13 09:52:022023-12-13 09:52:03

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你现在查看的是最新测评结果

  • [2023-12-13 09:52:03]
  • 评测
  • 测评结果:TL
  • 用时:8ms
  • 内存:73492kb
  • [2023-12-13 09:52:02]
  • 提交

answer

#pragma GCC optimize(fast)
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <vector>
using namespace std;
#define int long long
#define PII pair <int,int>
#define lowbit(x) (x&(-x))
#define N 1000010
const int INF=1e18;
int n,m,tot,head[N];
int idx,dfn[N],anc[21][N],dep[N],dist[N];
int root,MinSize,AllSize,siz[N],maxsiz[N],vis[N];
int cnt,buc[N],top,st[N],ans[N];
vector <int> vecT[N];
vector < PII > vecQ[N];
//注意,此处存的二元组(x,y)保证x>y,方便根据右端点排序 
struct NodeA
{
	int nxt,to,val;
}edge[N<<1];

struct NodeB
{
	int minv[N];
	
	void Clear ()
	{
		for (int i=1;i<=n;i++)
			minv[i]=INF;
	}
	
	void Update (int x,int val)
	{
		while (x<=n)
		{
			minv[x]=min (minv[x],val);
			x+=lowbit (x);
		}
	}
	
	int Query (int x)
	{
		int res=INF;
		while (x>0)
		{
			res=min (res,minv[x]);
			x-=lowbit (x);
		}
		return res;
	}
	
}BIT;

int read ()
{
	int k=1,s=0;char ch=getchar ();
	while (!isdigit (ch)) {if (ch=='-') k=-1;ch=getchar ();}
	while (isdigit (ch)) {s=s*10+ch-'0';ch=getchar ();}
	return k*s;
}

void AddEdge (int x,int y,int w)
{
	edge[++tot]=(NodeA) {head[x],y,w};
	head[x]=tot;
}

void FindRoot (int x,int from)
{	
	siz[x]=1;
	maxsiz[x]=0;
	for (int i=head[x];i;i=edge[i].nxt)
	{
		int y=edge[i].to;
		if (y==from || vis[y]) continue;
		FindRoot (y,x);
		siz[x]+=siz[y];
		maxsiz[x]=max (maxsiz[x],siz[y]); 
	}
	maxsiz[x]=max (maxsiz[x],AllSize-siz[x]);
	if (maxsiz[x]<MinSize)
	{
		MinSize=maxsiz[x];
		root=x;
	}
}

void FindSon (int x,int from)
{
	buc[++cnt]=x;
	for (int i=head[x];i;i=edge[i].nxt)
	{
		int y=edge[i].to;
		if (y==from || vis[y]) continue;
		FindSon (y,x);
	}
}

void DFS1 (int x,int from)
{
	dep[x]=dep[from]+1;
	anc[0][dfn[x]=++idx]=from;
	siz[x]=1;
	for (int i=head[x];i;i=edge[i].nxt)
	{
		int y=edge[i].to,w=edge[i].val;
		if (y==from) continue;
		dist[y]=dist[x]+w;
		DFS1 (y,x);
		siz[x]+=siz[y];
	}
}

int Getmin (int x,int y)
{
	return dfn[x]<dfn[y]?x:y;
}

int GetLCA (int x,int y)
{
	if (x==y) return x;
	if (dfn[x]>dfn[y]) swap (x,y);
	x=dfn[x]+1,y=dfn[y];
	int k=log2 (y-x+1);
	return Getmin (anc[k][x],anc[k][y-(1<<k)+1]);
}

void GetST ()
{
	for (int k=1;k<=20;k++)
		for (int i=1;i+(1<<k)-1<=n;i++)
			anc[k][i]=Getmin (anc[k-1][i],anc[k-1][i+(1<<(k-1))]);
}

int GetDist (int x,int y)
{
	int z=GetLCA (x,y);
	return dist[x]+dist[y]-2*dist[z];
}

void DFS2 (int x)
{
	vis[x]=1;
	cnt=0;
	buc[++cnt]=x;
	for (int i=head[x];i;i=edge[i].nxt)
	{
		int y=edge[i].to;
		if (vis[y]) continue;
		FindSon (y,x);
	}
	sort (buc+1,buc+1+cnt);
	top=0;
	for (int i=1;i<=cnt;i++)
	{
		while (top>0 && GetDist (x,st[top])>GetDist (x,buc[i])) top--;
		if (top>0) vecT[st[top]].push_back (buc[i]);
		st[++top]=buc[i];
	}
	reverse (buc+1,buc+1+cnt);
	top=0;
	for (int i=1;i<=cnt;i++)
	{
		while (top>0 && GetDist (x,st[top])>GetDist (x,buc[i])) top--;
		if (top>0) vecT[buc[i]].push_back (st[top]);
		st[++top]=buc[i];
	}
	for (int i=head[x];i;i=edge[i].nxt)
	{
		int y=edge[i].to;
		if (vis[y]) continue;
		root=0,AllSize=siz[y],MinSize=siz[y];
		FindRoot (root,0);
		DFS2 (y);
	}
}

void Init ()
{
	n=read ();
	for (int i=1;i<n;i++)
	{
		int x=read (),y=read (),w=read ();
		AddEdge (x,y,w);
		AddEdge (y,x,w); 
	}
	m=read ();
	for (int i=1;i<=m;i++)
	{
		int l=read (),r=read ();
		vecQ[l].push_back (make_pair (r,i));
	} 
}

void Work ()
{
	root=0,MinSize=n,AllSize=n;
	FindRoot (1,0);
	DFS1 (root,0);
	GetST ();
	DFS2 (root);
	BIT.Clear (); 
	for (int i=n;i>=1;i--)
	{
		for (int j=0;j<vecT[i].size ();j++)
		{
			int k=vecT[i][j];
			BIT.Update (k,GetDist (k,i));
		}
		for (int j=0;j<vecQ[i].size ();j++)
		{
			int k=vecQ[i][j].first,id=vecQ[i][j].second;
			ans[id]=BIT.Query (k);
		}
	}
	for (int i=1;i<=m;i++)
		if (ans[i]!=INF) printf ("%lld\n",ans[i]);
		else printf ("-1\n");
}

signed main ()
{
	Init ();
	Work ();
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 8ms
memory: 73492kb

input:

5
1 2 5
1 3 3
1 4 4
3 5 2
5
1 1
1 4
2 4
3 4
2 5

output:

-1
3
7
7
2

result:

ok 5 number(s): "-1 3 7 7 2"

Test #2:

score: -100
Time Limit Exceeded

input:

199999
31581 23211 322548833
176307 196803 690953895
34430 82902 340232856
36716 77480 466375266
7512 88480 197594480
95680 61864 679567992
19572 14126 599247796
188006 110716 817477802
160165 184035 722372640
23173 188594 490365246
54801 56250 304741654
10103 45884 643490340
127469 154479 214399361...

output:


result: