oj.uz

Submission #784053

# Submission time Handle Problem Language Result Execution time Memory
784053 2023-07-15T15:34:33 Z amirhoseinfar1385 Sumtree (INOI20_sumtree) C++17
30 / 100
 3000 ms 302872 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);
	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[pp].first,-jam+val[u]);
	val[u]=-1;
	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();
	}
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 288384 KB Output is correct
2 Correct 293 ms 288320 KB Output is correct
3 Correct 300 ms 288364 KB Output is correct
4 Correct 329 ms 288360 KB Output is correct
5 Correct 291 ms 285568 KB Output is correct
6 Correct 199 ms 261780 KB Output is correct
7 Correct 187 ms 261584 KB Output is correct
8 Correct 192 ms 261576 KB Output is correct
9 Correct 330 ms 280396 KB Output is correct
10 Correct 318 ms 280304 KB Output is correct
11 Correct 349 ms 280364 KB Output is correct
12 Correct 321 ms 279368 KB Output is correct
13 Correct 311 ms 286540 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 194 ms 261448 KB Output is correct
2 Correct 196 ms 261436 KB Output is correct
3 Correct 193 ms 261372 KB Output is correct
4 Correct 203 ms 261412 KB Output is correct
5 Correct 194 ms 261452 KB Output is correct
6 Correct 205 ms 261840 KB Output is correct
7 Correct 204 ms 261748 KB Output is correct
8 Correct 205 ms 261808 KB Output is correct
9 Correct 210 ms 261924 KB Output is correct
10 Correct 211 ms 262084 KB Output is correct
11 Correct 213 ms 262124 KB Output is correct
12 Correct 192 ms 261968 KB Output is correct
13 Correct 209 ms 262068 KB Output is correct
14 Correct 210 ms 262092 KB Output is correct
15 Correct 216 ms 262544 KB Output is correct
16 Correct 214 ms 261920 KB Output is correct
17 Correct 209 ms 262148 KB Output is correct
18 Correct 211 ms 262012 KB Output is correct
19 Correct 212 ms 261968 KB Output is correct
20 Correct 202 ms 261680 KB Output is correct
21 Correct 198 ms 261708 KB Output is correct
22 Correct 192 ms 261468 KB Output is correct

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1507 ms 298756 KB Output is correct
2 Execution timed out 3086 ms 302872 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3060 ms 288540 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 288384 KB Output is correct
2 Correct 293 ms 288320 KB Output is correct
3 Correct 300 ms 288364 KB Output is correct
4 Correct 329 ms 288360 KB Output is correct
5 Correct 291 ms 285568 KB Output is correct
6 Correct 199 ms 261780 KB Output is correct
7 Correct 187 ms 261584 KB Output is correct
8 Correct 192 ms 261576 KB Output is correct
9 Correct 330 ms 280396 KB Output is correct
10 Correct 318 ms 280304 KB Output is correct
11 Correct 349 ms 280364 KB Output is correct
12 Correct 321 ms 279368 KB Output is correct
13 Correct 311 ms 286540 KB Output is correct
14 Correct 194 ms 261448 KB Output is correct
15 Correct 196 ms 261436 KB Output is correct
16 Correct 193 ms 261372 KB Output is correct
17 Correct 203 ms 261412 KB Output is correct
18 Correct 194 ms 261452 KB Output is correct
19 Correct 205 ms 261840 KB Output is correct
20 Correct 204 ms 261748 KB Output is correct
21 Correct 205 ms 261808 KB Output is correct
22 Correct 210 ms 261924 KB Output is correct
23 Correct 211 ms 262084 KB Output is correct
24 Correct 213 ms 262124 KB Output is correct
25 Correct 192 ms 261968 KB Output is correct
26 Correct 209 ms 262068 KB Output is correct
27 Correct 210 ms 262092 KB Output is correct
28 Correct 216 ms 262544 KB Output is correct
29 Correct 214 ms 261920 KB Output is correct
30 Correct 209 ms 262148 KB Output is correct
31 Correct 211 ms 262012 KB Output is correct
32 Correct 212 ms 261968 KB Output is correct
33 Correct 202 ms 261680 KB Output is correct
34 Correct 198 ms 261708 KB Output is correct
35 Correct 192 ms 261468 KB Output is correct
36 Correct 1507 ms 298756 KB Output is correct
37 Execution timed out 3086 ms 302872 KB Time limit exceeded
38 Halted 0 ms 0 KB -