oj.uz

Submission #781928

# Submission time Handle Problem Language Result Execution time Memory
781928 2023-07-13T13:37:56 Z amirhoseinfar1385 Sumtree (INOI20_sumtree) C++17
10 / 100
 483 ms 222020 KB 
#include<bits/stdc++.h>
using namespace std;
long long n,k;
const long long maxn=200000+10,maxm=500000+10;
vector<long long>adj[maxn],child[maxn];
long long par[maxn],val[maxn],link[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 upd(long long i,long long w){
		if(i==0)
		{
			return ;
		}
		if(i>=kaf){
			seg[i]=w;
			return upd((i>>1),w);
		}
		////cout<<i<<" "<<w<<" "<<seg[(i<<1)]<<" "<<seg[(i<<1)^1]<<"\n";
		if((seg[(i<<1)])==-1&&seg[(i<<1)^1]==-1){
			seg[i]=-1;
			return upd((i>>1),w);
		}
		if((seg[(i<<1)])==-1){
			seg[i]=seg[(i<<1)^1];
			return upd((i>>1),w);
		}
		if(seg[(i<<1)^1]==-1){
			seg[i]=seg[(i<<1)];
			return upd((i>>1),w);
		}
		seg[i]=1ll*seg[(i<<1)]*seg[(i<<1)^1]%mod;
		return upd((i>>1),w);
	}

}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(){	
	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){
	//cout<<"av: "<<i<<" "<<j<<"\n";
	if(i<0||j<0||i<j){
		return 0;
	}
	//cout<<"dov: "<<i<<" "<<j<<"\n";
	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++;
	//cout<<"wtf: "<<a<<" "<<b<<"\n";
	long long ret=c(b+a-1,a-1);	
	return ret;
}

void tof(){
	//cout<<"salam"<<endl;
	res.upd(stf[1].first+kaf,hes(n-1,val[1]));
	//cout<<"vas "<<n-1<<" "<<val[1]<<" "<<hes(n-1,val[1])<<endl;
	segbal.upd(1,0,kaf-1,stf[1].first+1,stf[1].second,1);
	//cout<<"akh"<<endl;
	link[1]=0;
}

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 jam=segjam.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
	long long ted=cnt[u]-segted.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
	segted.upd(kaf+stf[u].first,ted);
	segbal.upd(1,0,kaf-1,stf[u].first+1,stf[u].second,u);
	segjam.upd(kaf+stf[u].first,-jam+w);
	long long jamp=segjam.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
	long long tedp=cnt[pp]-segted.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
	long long fake=hes(tedp-1,val[pp]-jamp);
	//cout<<tedp<<" asd "<<val[pp]<<" "<<jamp<<" "<<ted<<" "<<fake<<"\n";
	res.upd(kaf+stf[pp].first,-1);
	res.upd(kaf+stf[pp].first,fake);
	fake=hes(ted-1,val[u]-jam);
	//cout<<ted<<" sec "<<val[u]<<" "<<jam<<"\n";
	res.upd(stf[u].first+kaf,fake);
}

void del(long long u){
	long long pp=segbal.get(stf[u].first+kaf).second;
	long long jam=segjam.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
	long long ted=cnt[u]-segted.pors(1,0,kaf-1,stf[u].first+1,stf[u].second);
	segted.upd(kaf+stf[u].first,-ted);
	segbal.del(1,0,kaf-1,stf[u].first+1,stf[u].second,u);
	segjam.upd(kaf+stf[u].first,+jam-wa[u]);
	long long jamp=segjam.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
	long long tedp=cnt[pp]-segted.pors(1,0,kaf-1,stf[pp].first+1,stf[pp].second);
	long long fake=hes(tedp-1,val[pp]-jamp);
	res.upd(kaf+stf[pp].first,-1);
	res.upd(kaf+stf[pp].first,fake);
	res.upd(stf[u].first+kaf,-1);
}

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);
	////cout<<"salam"<<endl;
	val[1]=k;
	tof();
	//cout<<"salam"<<endl;
	long long q;
	cin>>q;
	asd=1;
	cout<<res.seg[1]<<"\n";
	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";
	}
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 102064 KB Output is correct
2 Correct 140 ms 102056 KB Output is correct
3 Correct 135 ms 102092 KB Output is correct
4 Correct 141 ms 102028 KB Output is correct
5 Correct 112 ms 99280 KB Output is correct
6 Correct 42 ms 75604 KB Output is correct
7 Correct 42 ms 75340 KB Output is correct
8 Correct 46 ms 75384 KB Output is correct
9 Correct 151 ms 94160 KB Output is correct
10 Correct 145 ms 94028 KB Output is correct
11 Correct 146 ms 94104 KB Output is correct
12 Correct 151 ms 93176 KB Output is correct
13 Correct 123 ms 100192 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 39 ms 75068 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Runtime error 221 ms 222020 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 483 ms 104152 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 102064 KB Output is correct
2 Correct 140 ms 102056 KB Output is correct
3 Correct 135 ms 102092 KB Output is correct
4 Correct 141 ms 102028 KB Output is correct
5 Correct 112 ms 99280 KB Output is correct
6 Correct 42 ms 75604 KB Output is correct
7 Correct 42 ms 75340 KB Output is correct
8 Correct 46 ms 75384 KB Output is correct
9 Correct 151 ms 94160 KB Output is correct
10 Correct 145 ms 94028 KB Output is correct
11 Correct 146 ms 94104 KB Output is correct
12 Correct 151 ms 93176 KB Output is correct
13 Correct 123 ms 100192 KB Output is correct
14 Incorrect 39 ms 75068 KB Output isn't correct
15 Halted 0 ms 0 KB -