Submission #784051

# Submission time Handle Problem Language Result Execution time Memory
784051 2023-07-15T15:30:52 Z amirhoseinfar1385 Sumtree (INOI20_sumtree) C++17
10 / 100
3000 ms 303564 KB
#include<bits/stdc++.h>
using namespace std;
long long n,k;
const long long maxn=2000000+10,maxm=5000000+10;
vector<long long>adj[maxn],child[maxn];
long long par[maxn],val[maxn],link[maxn],fres[maxn],wa[maxn],cnt[maxn],asd,timea=0,high[maxn],fact[maxm],revfact[maxm],mod=1e9+7;
pair<long long,long long>stf[maxn];
 
long long kaf=(1<<19);
 
struct segment{
	set<pair<long long,long long>>seg[(1<<20)];
	pair<long long,long long> get(long long i){
		if(i==0){
			return make_pair(0,0);
		}
		if((long long)seg[i].size()==0){
			return get((i>>1));
		}
		auto x=*seg[i].rbegin();
		return max(get((i>>1)),x);
	}
	void del(long long i,long long l,long long r,long long tl,long long tr,long long w){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			seg[i].erase(make_pair(high[w],w));
			return ;
		}
		long long m=(l+r)>>1;
		del((i<<1),l,m,tl,tr,w);
		del((i<<1)^1,m+1,r,tl,tr,w);
	}
 
	void upd(long long i,long long l,long long r,long long tl,long long tr,long long w){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			seg[i].insert(make_pair(high[w],w));
			return ;
		}
		long long m=(l+r)>>1;
		upd((i<<1),l,m,tl,tr,w);
		upd((i<<1)^1,m+1,r,tl,tr,w);
	}
}segbal;
 
struct segjam{
	long long seg[(1<<20)];
	long long pors(long long i,long long l,long long r,long long tl,long long tr){
		if(l>r||l>tr||r<tl||tl>tr){
			return 0;
		}
		if(l>=tl&&r<=tr){
			return seg[i];
		}
		long long m=(l+r)>>1;
		long long ret=pors((i<<1),l,m,tl,tr)+pors((i<<1)^1,m+1,r,tl,tr);
		return ret;
	}
	void upd(long long i,long long w){
		if(i==0){
			return ;
		}
		seg[i]+=w;
		upd((i>>1),w);
	}
}segjam,segted;
 
struct segres{
	long long seg[(1<<20)];
	segres(){
		for(long long i=kaf;i<(1<<20);i++){
			seg[i]=-1;
		}
		for(long long i=1;i<kaf;i++){
			seg[i]=-1;
		}
	}
	void calc(int i){
		if(seg[(i<<1)]==-1&&seg[(i<<1)^1]==-1){
			seg[i]=-1;
			return ;
		}
		if(seg[(i<<1)]==-1){
			seg[i]=seg[(i<<1)^1];
			return ;
		}
		if(seg[(i<<1)^1]==-1){
			seg[i]=seg[(i<<1)];
			return ;
		}
		seg[i]=1ll*seg[(i<<1)^1]*seg[(i<<1)]%mod;
		return ;
	}
 
	void upd(int i,int l,int r,int tl,int tr,long long w){
		if(l>r||l>tr||r<tl||tl>tr){
			return ;
		}
		if(l>=tl&&r<=tr){
			w%=mod;
			seg[i]=w;
			return ;
		}
		int m=(l+r)>>1;
		upd((i<<1),l,m,tl,tr,w);
		upd((i<<1)^1,m+1,r,tl,tr,w);
		calc(i);
	}
 
}res;
 
long long mypow(long long m,long long y){
	if(y==0){
		return 1;
	}
	long long p=mypow(m,(y>>1));
	p*=p;
	p%=mod;
	if(y&1){
		p*=m;
		p%=mod;
	}
	return p;
}
 
void aval(){	
	for(int i=0;i<maxn;i++){
		fres[i]=-1;
		val[i]=-1;
	}
	fact[0]=1;
	for(long long i=1;i<maxm;i++){
		fact[i]=1ll*fact[i-1]*i%mod;
	}
	revfact[maxm-1]=mypow(fact[maxm-1],mod-2);
	for(long long i=maxm-2;i>=0;i--){
		revfact[i]=1ll*revfact[i+1]*(i+1)%mod;
	}
}
 
long long c(long long i,long long j){
	if(i<0||j<0||i<j){
		return 0;
	}
	long long ret=1ll*fact[i]*revfact[j]%mod*revfact[i-j]%mod;
	return ret;
}
 
void dfs(long long u,long long para=0){
	cnt[u]=1;
	high[u]=high[para]+1;
	timea++;
	stf[u].first=timea;
	par[u]=para;
	for(auto x:adj[u]){
		if(x!=para){
			child[u].push_back(x);
			dfs(x,u);
			cnt[u]+=cnt[x];
		}
	}
	stf[u].second=timea;
}
 
long long hes(long long a,long long b){
	a++;
	long long ret=c(b+a-1,a-1);	
	return ret;
}

int findp(int u,int av){
	if(u==av||val[u]==-1){
		return findp(par[u],av);
	}
	return u;
}

long long porsjam(int u,int av){
	long long ret=0;
	if(u!=av&&val[u]!=-1){
		ret+=val[u];
		return ret;
	}
	for(auto x:child[u]){
		ret+=porsjam(x,av);
	}
	return ret;
}

long long porsted(int u,int av){
	long long ret=0;
	if(u!=av&&val[u]!=-1){
		return ret;
	}
	for(auto x:child[u]){
		ret+=porsted(x,av);
	}
	ret++;
	return ret;
}

void upd(long long u,long long w){
	wa[u]=w;
	val[u]=w;
	long long pp=segbal.get(stf[u].first+kaf).second;
//	long long pp=findp(u,u);
	long long jam=segjam.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
//	long long jam=porsjam(u,u);
	long long ted=cnt[u]-segted.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
//	long long ted=porsted(u,u);
	segted.upd(kaf+stf[u].first,ted);
	segted.upd(kaf+stf[pp].first,-ted);
	segbal.upd(1,0,kaf-1,stf[u].first+1,stf[u].second,u);
	segjam.upd(kaf+stf[u].first,-jam+w);
	segjam.upd(kaf+stf[pp].first,+jam-w);
	long long jamp=segjam.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
//	long long jamp=porsjam(pp,pp);
	long long tedp=cnt[pp]-segted.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
//	long long tedp=porsted(pp,pp);
	long long fake=hes(tedp-1,val[pp]-jamp);
	fres[stf[pp].first]=fake;
//	cout<<u<<" "<<pp<<" "<<jamp<<" "<<val[pp]<<" "<<tedp<<"\n";
//	res.upd(1,0,kaf-1,stf[pp].first,stf[pp].first,fake);
	fake=hes(ted-1,val[u]-jam);
	fres[stf[u].first]=fake;
//	res.upd(1,0,kaf-1,stf[u].first,stf[u].first,fake);
}
 
void del(long long u){
	long long pp=segbal.get(stf[u].first+kaf).second;
//	long long pp=findp(u,u);
	long long jam=segjam.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
//	long long jam=porsjam(u,u);
	long long ted=cnt[u]-segted.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
//	long long ted=porsted(u,u);
	val[u]=-1;
	segted.upd(kaf+stf[u].first,-ted);
	segted.upd(kaf+stf[pp].first,+ted);
	segbal.del(1,0,kaf-1,stf[u].first+1,stf[u].second,u);
	segjam.upd(kaf+stf[u].first,+jam-val[u]);
	segjam.upd(kaf+stf[u].first,-jam+val[u]);
	long long jamp=segjam.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
//	long long jamp=porsjam(pp,pp);
	long long tedp=cnt[pp]-segted.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
//	long long tedp=porsted(pp,pp);
	long long fake=hes(tedp-1,val[pp]-jamp);
	fres[stf[pp].first]=fake;
	fres[stf[u].first]=-1;
//	res.upd(1,0,kaf-1,stf[pp].first,stf[pp].first,-1);
//	res.upd(1,0,kaf-1,stf[pp].first,stf[pp].first,fake);
//	res.upd(1,0,kaf-1,stf[u].first,stf[u].first,-1);
//	val[u]=-1;
}
 
void calres(){
	long long ret=1;
	for(int i=stf[1].first;i<=stf[1].second;i++){
//		cout<<i<<" asd "<<fres[i]<<"\n";
		if(fres[i]==-1){
			continue;
		}
		ret*=fres[i];
		ret%=mod;
	}
	cout<<ret<<"\n";
}

void tof(){
	//cout<<porsted(1,1)<<" "<<porsjam(1,1)<<"\n";
	fres[stf[1].first]=hes(porsted(1,1)-1,val[1]-porsjam(1,1));
//	res.upd(1,0,kaf-1,stf[1].first,stf[1].first,hes(n-1,val[1]));
	segbal.upd(1,0,kaf-1,stf[1].first+1,stf[1].second,1);
	link[1]=0;
}
 

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	aval();
	cin>>n>>k;
	for(long long i=0;i<n-1;i++){
		long long u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	dfs(1);
//	segjam.upd(stf[1].first+kaf,k);
	val[1]=k;
	tof();
	long long q;
	cin>>q;
	asd=1;
//	cout<<res.seg[1]<<"\n";
	calres();
	for(;asd<=q;asd++){
		long long qq;
		cin>>qq;
		if(qq==1){
			long long u,w;
			cin>>u>>w;
			upd(u,w);
		}
		else{
			long long u;
			cin>>u;
			del(u);
		}
//		cout<<res.seg[1]<<"\n";
		calres();
	}
}
# Verdict Execution time Memory Grader output
1 Correct 295 ms 289100 KB Output is correct
2 Correct 294 ms 289100 KB Output is correct
3 Correct 288 ms 289100 KB Output is correct
4 Correct 287 ms 289100 KB Output is correct
5 Correct 263 ms 286328 KB Output is correct
6 Correct 188 ms 261800 KB Output is correct
7 Correct 190 ms 261580 KB Output is correct
8 Correct 187 ms 261616 KB Output is correct
9 Correct 301 ms 281084 KB Output is correct
10 Correct 307 ms 281164 KB Output is correct
11 Correct 300 ms 281072 KB Output is correct
12 Correct 296 ms 280096 KB Output is correct
13 Correct 280 ms 287308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 189 ms 261320 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1451 ms 299408 KB Output is correct
2 Execution timed out 3072 ms 303564 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 3087 ms 288808 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 295 ms 289100 KB Output is correct
2 Correct 294 ms 289100 KB Output is correct
3 Correct 288 ms 289100 KB Output is correct
4 Correct 287 ms 289100 KB Output is correct
5 Correct 263 ms 286328 KB Output is correct
6 Correct 188 ms 261800 KB Output is correct
7 Correct 190 ms 261580 KB Output is correct
8 Correct 187 ms 261616 KB Output is correct
9 Correct 301 ms 281084 KB Output is correct
10 Correct 307 ms 281164 KB Output is correct
11 Correct 300 ms 281072 KB Output is correct
12 Correct 296 ms 280096 KB Output is correct
13 Correct 280 ms 287308 KB Output is correct
14 Incorrect 189 ms 261320 KB Output isn't correct
15 Halted 0 ms 0 KB -