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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#412546#6737. NeighbourhoodThankto_zy6TL 3ms32368kbC++145.4kb2024-05-16 16:01:012024-05-16 16:01:01

Judging History

This is the latest submission verdict.

  • [2024-05-16 16:01:01]
  • Judged
  • Verdict: TL
  • Time: 3ms
  • Memory: 32368kb
  • [2024-05-16 16:01:01]
  • Submitted

answer

#include<bits/stdc++.h> 
using namespace std;
typedef long long ii;
int he[200005],to[400005],ne[400005],id[400005],cnt;
ii w[200005];
void link(int u,int v,int w){
	cnt++;
	to[cnt]=v;
	ne[cnt]=he[u];
	id[cnt]=w;
	he[u]=cnt;
}
int B;
bool bdr[200005];
int bel[200005],bee[200005],stk[200005],_top[200005],top;
int cl[200005],clutop;
int up[200005],down[200005];
struct nodd{
	int id;
	ii v;
};
bool operator<(nodd x,nodd y){
	return x.v<y.v;
}
vector<nodd>dis[200005][2];int clu;
int ef[200005],fa[200005],wait[200005],low[200005];
ii dud[200005];
int tag[200005];
void puttag(int x,int pr,int k,int tg){
	tag[x]=tg;
	for(int i=he[x];i;i=ne[i]){
		if(to[i]!=pr&&bel[to[i]]==k){
			puttag(to[i],x,k,tg);
		}
	}
}
void getdud(int i){
	int x=down[i];dud[i]=0;
	if(!x)return;
	while(x!=up[i]){
		dud[i]+=w[ef[x]];
		x=fa[x];
	}
}
int get(int x,int i){
	return (x==up[i])?0:1;
}
struct node{
	int v,i;
};
vector<node>eg[200005];
void add_clu(int u,int v){
	clu++;
	bdr[u]=1;up[clu]=u;
	if(!v)v=stk[clutop];
	eg[u].push_back({v,clu});
	down[clu]=v;bdr[v]=1;
	eg[v].push_back({u,clu});
	clutop=0;
}
void dfs(int x){
	wait[x]=1;int tot=0;_top[x]=top;
	for(int i=he[x];i;i=ne[i]){
		if(to[i]==fa[x])continue;
		ef[to[i]]=id[i];fa[to[i]]=x;stk[++top]=to[i];
		dfs(to[i]);
		wait[x]+=wait[to[i]];
		if(low[to[i]])low[x]=low[to[i]],tot++;
	}
	if(tot>1||low[x]>=B||!fa[x]){
		wait[x]=0;
		low[x]=x;
		for(int i=he[x],cur=0,j=_top[x]+1,wt=0;;i=ne[i]){
			if(to[i]==fa[x]&&fa[x])continue;
			int v=to[i];
			if(wt+wait[x]>B||!v||(cur&&low[v])){
				for(;(j<_top[v]||!v)&&j<=top;j++){
					cl[++clutop]=stk[j];
					bel[stk[j]]=clu+1;
					if(stk[j]!=x){
						bee[ef[stk[j]]]=clu+1;
					}
				}
				add_clu(x,cur);
				wt=cur=0;
			}
			wt+=wait[v];
            if(low[v])cur=low[v];
			if(!i)break;
		}
	}
}
void sear(int x,int pr,int k,int bz,ii ds){
	if(!bdr[x])dis[k][bz].push_back({x,ds});
	for(int i=he[x];i;i=ne[i]){
		if(to[i]!=pr&&(bel[to[i]]==k||to[i]==up[k]||to[i]==down[k])){
			sear(to[i],x,k,bz,ds+w[id[i]]);
		}
	}
}
void pre(int x,int i){
	if(!x)return;
	int bz=get(x,i);
	vector<nodd>().swap(dis[i][bz]);
	sear(x,0,i,bz,0);
	sort(dis[i][bz].begin(),dis[i][bz].end());
}
int flg[200005];
void sear2(int x,int pr,int k,int tg,int sw){
	flg[x]=sw;
	for(int i=he[x];i;i=ne[i]){
		if(to[i]!=pr&&(bel[to[i]]==k||to[i]==up[k]||to[i]==down[k])){
			if(id[i]==tg){
				sear2(to[i],x,k,tg,1);
			}
			else{
				sear2(to[i],x,k,tg,sw);
			}
		}
	}
}
nodd ttmp1[200005],ttmp2[200005];int top1,top2;
void pre2(int x,int i,int tg,ii delta){
	if(!x)return;top1=top2=0;
	int bz=get(x,i);
	sear2(x,0,i,tg,0);
	for(nodd v:dis[i][bz]){
		if(flg[v.id])ttmp2[++top2]={v.id,v.v+delta};
		else ttmp1[++top1]=v;
	}
	vector<nodd>().swap(dis[i][bz]);
	int j=1,k=1;
	while(j<=top1&&k<=top2){
		if(ttmp1[j].v<ttmp2[k].v){
			dis[i][bz].push_back(ttmp1[j]);
			j++;
		}
		else{
			dis[i][bz].push_back(ttmp2[k]);
			k++;
		}
	}
	while(j<=top1){
		dis[i][bz].push_back(ttmp1[j]);
		j++;
	}
	while(k<=top2){
		dis[i][bz].push_back(ttmp2[k]);
		k++;
	}
}
int qry_clu(int x,int i,ii k){
	if(!x)return 0;
	int bz=get(x,i);
	if((dis[i][bz].back()).v<=k){
		return dis[i][bz].size();
	}
	int l=1,r=dis[i][bz].size(),mid;
	while(l<r){
		mid=(l+r)>>1;
		if(dis[i][bz][mid-1].v<=k)l=mid+1;
		else r=mid;
	}
//	cerr<<"!"<<x<<" "<<i<<" "<<k<<" "<<l-1<<endl;
	return l-1;
}
int res;
ii d1,d2;
void qry1(int x,int y,int pr,ii ds,ii k){
	if(x==up[y])d1=ds;
	if(x==down[y])d2=ds;
	if(bdr[x])return;
	if(ds<=k)res++;
	for(int i=he[x];i;i=ne[i]){
		if(to[i]!=pr&&(bel[to[i]]==y||to[i]==up[y]||to[i]==down[y])){
			qry1(to[i],y,x,ds+w[id[i]],k);
		}
	}
}
int qry2(int x,int pr,ii k){
	int ret=1;
	if(k<0)return 0;
	for(node v:eg[x]){
		if(v.v!=pr){
			ret+=qry_clu(x,v.i,k);
			if(k>=dud[v.i]&&v.v){
				ret+=qry2(v.v,x,k-dud[v.i]);
			}
		}
	}
	return ret;
}
int main(){
	int n,q;
	scanf("%d%d",&n,&q);B=sqrt(n);
	for(int i=1;i<n;i++){
		int u,v;
		scanf("%d%d%lld",&u,&v,&w[i]);
		link(u,v,i);
		link(v,u,i);
	}
	dfs(1);
	for(int i=1;i<=clu;i++){
		pre(up[i],i);
		if(down[i])pre(down[i],i);
		int x=down[i];dud[i]=0;
		if(!x)continue;
		int o=0;
		while(x!=up[i]){
			dud[i]+=w[ef[x]];
			for(int j=he[x];j;j=ne[j]){
				if(bel[to[j]]==i&&to[j]!=o&&to[j]!=fa[x]){
					puttag(to[j],x,i,x);
				}
				if(!bdr[x])tag[x]=x;
			}
			o=x;
			x=fa[x];
		}
		for(int j=he[up[x]];j;j=ne[j]){
			if(bel[to[j]]==i&&to[j]!=o){
				puttag(to[j],up[x],i,up[x]);
			}
		}
	}
	while(q--){
		int opt;
		scanf("%d",&opt);
		if(opt==1){
			int i;ii c,d;
			scanf("%d%lld",&i,&c);d=c-w[i];
			w[i]=c;
			int k=bee[i];
			pre2(up[k],k,i,d);
			if(down[k])pre2(down[k],k,i,d);
			getdud(k);
		}
		else{
			int x;ii d;
			scanf("%d%lld",&x,&d);
			res=0;
			if(!bdr[x]){
				if(tag[x]!=up[bel[x]]&&tag[x]!=down[bel[x]]){
					qry1(x,bel[x],0,0,d);
					res+=qry2(up[bel[x]],down[bel[x]],d-d1);
					res+=qry2(down[bel[x]],up[bel[x]],d-d2);
				}
				else{
					if(tag[x]==up[bel[x]]){
						qry1(x,bel[x],0,0,d);
						res+=qry2(up[bel[x]],0,d-d1);
						res-=qry_clu(up[bel[x]],bel[x],d-d1);
					}
					if(tag[x]==down[bel[x]]){
						qry1(x,bel[x],0,0,d);
						res+=qry2(down[bel[x]],0,d-d2);
						res-=qry_clu(down[bel[x]],bel[x],d-d2);
					}
				} 
			}
			else{
				res=qry2(x,-1,d);
			}
			printf("%d\n",res);
		}
	}
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 3ms
memory: 32368kb

input:

3 7
1 2 3
2 3 1
2 2 1
2 1 3
2 3 4
1 1 1
2 2 1
2 1 0
2 3 1

output:

2
2
3
3
1
2

result:

ok 6 numbers

Test #2:

score: -100
Time Limit Exceeded

input:

200000 200000
1 2 146181238
2 3 45037818
3 4 176924060
4 5 969365276
5 6 683948619
6 7 356268194
7 8 871634797
8 9 630254480
9 10 283061123
10 11 204904965
11 12 838381393
12 13 516373812
13 14 253862710
14 15 223572474
15 16 114452997
16 17 145251056
17 18 905638436
18 19 375445402
19 20 549829545
...

output:


result: