Submission #550283

#	Time	Username	Problem	Language	Result	Execution time	Memory
550283		inksamurai	Sprinkler (JOI22_sprinkler)	C++17	0 / 100	4059 ms	140720 KiB

sprinkler

#include <bits/stdc++.h>
// #define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rng(i,x,n) for(int i=x;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3xxEYjy ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// e

//snuke's mod int
// template <ll mod>
ll mod;
struct modint{
	ll x; // typedef long long ll;
	modint(ll x=0):x((x%mod+mod)%mod){}
	modint operator-()const{return modint(-x);}
	modint& operator+=(const modint a){if((x+=a.x)>=mod) x-=mod; return *this;}
	modint& operator-=(const modint a){if((x+=mod-a.x)>=mod) x-=mod; return *this;}
	modint& operator*=(const modint a){(x*=a.x)%=mod; return *this;}
	modint operator+(const modint a)const{modint res(*this); return res+=a;}
	modint operator-(const modint a)const{modint res(*this); return res-=a;}
	modint operator*(const modint a)const{modint res(*this); return res*=a;}
	modint pow(ll n)const{
		modint res=1,x(*this);
		while(n){
			if(n&1)res*=x;
			x*=x;
			n>>=1;
		}
		return res;
	}
	modint inv()const{return pow(mod-2);}
};
// 
// using mint=modint<998244353>;

signed main(){
_3xxEYjy;
	int n,m;
	cin>>n>>m;
	mod=m;
	using mint=modint;
	ll phi;
	{	
		auto eval_phi=[&](int n){
			const int nax=4000;
			vi ipr(nax);
			rng(i,2,nax){
				if(ipr[i]) continue;
				ipr[i]=i;
				for(int j=2*i;j<nax;j+=i){
					ipr[j]=i;
				}
			}
			vi pfct;
			int _n=n;
			for(int i=2;i<=nax;i++){
				if(ipr[i]!=i) continue;
				if(_n%i==0){
					while(_n%i==0){
						_n/=i;
					}
					pfct.pb(i);
				}
			}
			if(_n>1) pfct.pb(_n);
			ll res=0;
			{
				rep(msk,(1<<sz(pfct))){
					ll mult=1;
					rep(i,sz(pfct))if(msk>>i&1){
						if(mult>n/pfct[i]){
							mult=-1;
							break;
						}
						mult*=pfct[i]*1ll;
					}
					if(mult==-1) continue;
					res+=(__builtin_popcount(msk)%2?-1:1)*(n/mult);
				}
			}
			return res;
		};phi=eval_phi(m);
	}
	vec(vi) adj(n);
	rep(i,n-1){
		int u,v;
		cin>>u>>v;
		u-=1,v-=1;
		adj[u].pb(v);
		adj[v].pb(u);
	}
	vi a(n);
	rep(i,n){
		cin>>a[i];
		a[i]%=m;
	}
	vi par(n,-1);
	{
		auto dfs=[&](auto self,int v,int _par)->void{
			for(auto u:adj[v]){
				if(u==_par) continue;
				par[u]=v;
				self(self,u,v);
			}
		};
		dfs(dfs,0,-1);
	}
	
	vec(vec(mint)) rbts(n,vec(mint)(70,1));

	auto update=[&](int v,int d,int x){
		rbts[v][d]*=mint(x);
		while(1){
			d-=1;
			if(d<0) break;
			v=par[v];
			if(v<0) break;
			rbts[v][d]*=mint(x);
		}
	};

	auto binpow=[&](mint a,ll b)->mint{
		mint res=1;
		while(b){
			if(b%2) res*=a;
			a=a*a;
			b/=2;
		}
		return res;
	};

	auto get=[&](int v){
		mint res=1;
		rep(d,42){
			res*=rbts[v][d];
		}
		int d=1;
		while(d<=42){
			int u=v;
			v=par[v];
			if(v==-1) break;
			rng(nd,d,42){
				res*=rbts[v][nd];
				// print(rbts[v][nd],rbts[u][nd+1]);
				// break;
				res*=binpow(rbts[u][nd+1].x,phi-1);
			}
			// print(v,res);
			d+=1;
		}
		return res;
	};

	int q;
	cin>>q;
	rep(_,q){
		int t;
		cin>>t;
		if(t==1){
			int v,d,x;
			cin>>v>>d>>x;
			v-=1;
			update(v,d,x);
		}else{
			int v;
			cin>>v;
			v-=1;
			mint res=get(v);
			res*=mint(a[v]);
			cout<<res.x<<"\n";
		}
	}
//	
	return 0;
}

• Subtask 1: 0 / 3
• Subtask 2: 0 / 9
• Subtask 3: 0 / 29
• Subtask 4: 0 / 12
• Subtask 5: 0 / 30
• Subtask 6: 0 / 17