Submission #635964

# Submission time Handle Problem Language Result Execution time Memory
635964 2022-08-27T13:30:18 Z amirhoseinfar1385 Sumtree (INOI20_sumtree) C++17
10 / 100
524 ms 117088 KB
#include<bits/stdc++.h>
using namespace std;
struct node{
	long long countz,tag,res;
	set<pair<long long ,long long>>mn;
	node(){
		countz=res=1;
		tag=0;
	};
};
vector<long long>high;
long long mod=1e9+7;
vector<long long>fact,revfact;
long long n,r;
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)==1){
		p=1ll*m*p;
		p%=mod;
	}
	return p;
}
vector<long long>st;
vector<pair<long long ,long long>>stf;
vector<vector<long long>>adj;
long long rishe=1;
node seg[(1<<20)];

void build(long long i){
	if((i<<1)>=(1<<20)){
		return ;
	}
	build((i<<1));
	build(((i<<1)^1));
	seg[i].countz=seg[(i<<1)].countz+seg[((i<<1)^1)].countz;
}

void aval(long long u=rishe,long long para=0,long long len=0){
	high[u]=len;
	st.push_back(u);
	stf[u].first=st.size()-1;
	for(auto x:adj[u]){
		if(x!=para){
			aval(x,u,len+1);
		}
	}
	stf[u].second=st.size()-1;
}


long long solvecz(long long i,long long nl,long long nr,long long tl,long long tr){
	if(nl>tr||nr<tl){
		return 0;
	}
	if(nl>=tl&&nr<=tr){
	//	cout<<nl<<" asd "<<nr<<" "<<seg[i].countz<<"\n";
		return seg[i].countz;
	}
	long long m=((nl+nr)>>1);
	long long d=solvecz((i<<1),nl,m,tl,tr);
	d+=solvecz(((i<<1)^1),m+1,nr,tl,tr);
	return d;
}

long long solvest(long long i,long long nl,long long nr,long long tl,long long tr){
	if(nl>tr||nr<tl){
		return 0;
	}
	if(nl>=tl&&nr<=tr){
		return seg[i].tag;
	}
	long long m=((nl+nr)>>1);
	long long d=solvest((i<<1),nl,m,tl,tr);
	d+=solvest(((i<<1)^1),m+1,nr,tl,tr);
	return d;
}

void upmn(long long i,long long nl,long long nr,long long tl,long long tr,long long u){
	if(nl>tr||nr<tl){
		return ;
	}
	if(nl>=tl&&nr<=tr){
		seg[i].mn.insert(make_pair(high[u],u));
		return ;
	}
	long long m=((nl+nr)>>1);
	upmn((i<<1),nl,m,tl,tr,u);
	upmn(((i<<1)^1),m+1,nr,tl,tr,u);
	return ;
}

void upd(long long u){
	if(u==0){
		return ;
	}
	seg[u].res=seg[(u<<1)].res*seg[((u<<1)^1)].res;
	seg[u].res%=mod;
	seg[u].countz=seg[(u<<1)].countz+seg[((u<<1)^1)].countz;
	seg[u].tag=seg[(u<<1)].tag+seg[((u<<1)^1)].tag;
	return upd((u>>1));
}

long long solvepar(long long u){
	if(u==0){
		return -1;
	}
	long long x=solvepar((u>>1));
	if(x==-1){
		if(seg[u].mn.size()==0){
			return -1;
		}
		pair<long long,long long> y=*(seg[u].mn.begin());
		return y.second;
	}
	else{
		if(seg[u].mn.size()==0){
			return x;
		}
		pair<long long,long long> y=*(seg[u].mn.begin());
		if(high[x]>y.first){
			return x;
		}
		else{
			return y.second;
		}
	}
}

void update(long long u,long long no,long long c=0){
	if(no==1){
		if(stf[u].first==stf[u].second){
			seg[(1<<19)+stf[u].first].tag=c;
			seg[(1<<19)+stf[u].first].res=1;
			seg[(1<<19)+stf[u].first].countz=0;
		}
		else{
			upmn(1,0,(1<<19)-1,stf[u].first+1,stf[u].second,u);
			seg[(1<<19)+stf[u].first].tag=c;
			seg[(1<<19)+stf[u].first].countz=-solvecz(1,0,(1<<19)-1,stf[u].first+1,stf[u].second);
			long long x=solvest(1,0,(1<<19)-1,stf[u].first+1,stf[u].second);
			if(x>c){
				seg[(1<<19)+stf[u].first].res=0;
			}
			else{
				seg[(1<<19)+stf[u].first].res=fact[c-x+-seg[(1<<19)+stf[u].first].countz];
				seg[(1<<19)+stf[u].first].res*=revfact[-seg[(1<<19)+stf[u].first].countz];
				seg[(1<<19)+stf[u].first].res%=mod;
				seg[(1<<19)+stf[u].first].res*=revfact[c-x];
				seg[(1<<19)+stf[u].first].res%=mod;
			}
	//		cout<<c<<" "<<x<<" "<<seg[(1<<19)+stf[u].first].countz<<"\n";
		}	
		long long fu=stf[u].first;
		fu+=(1<<19);
		fu=(fu>>1);
		upd(fu);
		fu=stf[u].first;
		fu+=(1<<19);
		u=solvepar(fu);
		if(u==-1){
			return ;
		}
		c=seg[(1<<19)+stf[u].first].tag;
	//	cout<<" s "<<u<<"\n";
		if(stf[u].first==stf[u].second){
			seg[(1<<19)+stf[u].first].res=1;
			seg[(1<<19)+stf[u].first].countz=0;
		}
		else{
			seg[(1<<19)+stf[u].first].countz=-solvecz(1,0,(1<<19)-1,stf[u].first+1,stf[u].second);
			long long x=solvest(1,0,(1<<19)-1,stf[u].first+1,stf[u].second);
			if(x>c){
				seg[(1<<19)+stf[u].first].res=0;
			}
			else{
				seg[(1<<19)+stf[u].first].res=fact[c-x+-seg[(1<<19)+stf[u].first].countz];
				seg[(1<<19)+stf[u].first].res*=revfact[-seg[(1<<19)+stf[u].first].countz];
				seg[(1<<19)+stf[u].first].res%=mod;
				seg[(1<<19)+stf[u].first].res*=revfact[c-x];
				seg[(1<<19)+stf[u].first].res%=mod;
			}
	//		cout<<c<<" "<<x<<" "<<seg[(1<<19)+stf[u].first].countz<<"\n";
		}	
		fu=stf[u].first;
		fu+=(1<<19);
		fu=(fu>>1);
		upd(fu);
	}
	else{

	}
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	fact.resize(1e6);
	revfact.resize(1e6);
	fact[0]=revfact[0]=1;
	for(int i=1;i<=5e5;i++){
		fact[i]=fact[i-1]*i;
		fact[i]%=mod;
		revfact[i]=mypow(fact[i],mod-2);
	}
	cin>>n>>r;
	adj.resize(n+1);
	high.resize(n+1);
	stf.resize(n+1);
	for(int i=0;i<n-1;i++){
		long long u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	build(1);
	aval();
	update(1,1,r);
	long long q;
	cin>>q;
	cout<<seg[1].res<<"\n";
	for(int i=0;i<q;i++){
		long long u;
		cin>>u;
		if(u==1){
			long long v,e;
			cin>>v>>e;
			update(v,1,e);
		}
		else{

		}
		cout<<seg[1].res<<"\n";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 355 ms 114532 KB Output is correct
2 Correct 366 ms 114492 KB Output is correct
3 Correct 376 ms 114620 KB Output is correct
4 Correct 364 ms 114532 KB Output is correct
5 Correct 364 ms 110888 KB Output is correct
6 Correct 256 ms 90232 KB Output is correct
7 Correct 260 ms 90100 KB Output is correct
8 Correct 271 ms 90104 KB Output is correct
9 Correct 409 ms 108896 KB Output is correct
10 Correct 383 ms 108908 KB Output is correct
11 Correct 365 ms 108872 KB Output is correct
12 Correct 360 ms 108008 KB Output is correct
13 Correct 357 ms 112864 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 260 ms 89844 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 380 ms 117088 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 524 ms 112908 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 355 ms 114532 KB Output is correct
2 Correct 366 ms 114492 KB Output is correct
3 Correct 376 ms 114620 KB Output is correct
4 Correct 364 ms 114532 KB Output is correct
5 Correct 364 ms 110888 KB Output is correct
6 Correct 256 ms 90232 KB Output is correct
7 Correct 260 ms 90100 KB Output is correct
8 Correct 271 ms 90104 KB Output is correct
9 Correct 409 ms 108896 KB Output is correct
10 Correct 383 ms 108908 KB Output is correct
11 Correct 365 ms 108872 KB Output is correct
12 Correct 360 ms 108008 KB Output is correct
13 Correct 357 ms 112864 KB Output is correct
14 Incorrect 260 ms 89844 KB Output isn't correct
15 Halted 0 ms 0 KB -