Submission #485048

#	Time	Username	Problem	Language	Result	Execution time	Memory
485048		maroonrk	Dungeons Game (IOI21_dungeons)	C++17	100 / 100	6833 ms	1829168 KiB

dungeons

#include "dungeons.h"
#include <vector>

#ifndef LOCAL
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#endif

#include <bits/stdc++.h>
using namespace std;

using ll=long long;
#define int ll

#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif

template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}

template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;

using pi=pair<int,int>;
using vi=vc<int>;

template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.a<<","<<p.b<<"}";
}

template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}

#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ";
	dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif

using uint=unsigned;
using ull=unsigned long long;

template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
	return os<<vc<t>(all(a));
}

template<int i,class T>
void print_tuple(ostream&,const T&){
}

template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
	if(i)os<<",";
	os<<get<i>(t);
	print_tuple<i+1,T,Args...>(os,t);
}

template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
	os<<"{";
	print_tuple<0,tuple<Args...>,Args...>(os,t);
	return os<<"}";
}

template<class t>
void print(t x,int suc=1){
	cout<<x;
	if(suc==1)
		cout<<"\n";
	if(suc==2)
		cout<<" ";
}

ll read(){
	ll i;
	cin>>i;
	return i;
}

vi readvi(int n,int off=0){
	vi v(n);
	rep(i,n)v[i]=read()+off;
	return v;
}

pi readpi(int off=0){
	int a,b;cin>>a>>b;
	return pi(a+off,b+off);
}

template<class t,class u>
void print(const pair<t,u>&p,int suc=1){
	print(p.a,2);
	print(p.b,suc);
}

template<class T>
void print(const vector<T>&v,int suc=1){
	rep(i,v.size())
		print(v[i],i==int(v.size())-1?suc:2);
}

template<class T>
void print_offset(const vector<T>&v,ll off,int suc=1){
	rep(i,v.size())
		print(v[i]+off,i==int(v.size())-1?suc:2);
}

template<class T,size_t N>
void print(const array<T,N>&v,int suc=1){
	rep(i,N)
		print(v[i],i==int(N)-1?suc:2);
}

string readString(){
	string s;
	cin>>s;
	return s;
}

template<class T>
T sq(const T& t){
	return t*t;
}

//#define CAPITAL
void yes(bool ex=true){
	#ifdef CAPITAL
	cout<<"YES"<<"\n";
	#else
	cout<<"Yes"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void no(bool ex=true){
	#ifdef CAPITAL
	cout<<"NO"<<"\n";
	#else
	cout<<"No"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void possible(bool ex=true){
	#ifdef CAPITAL
	cout<<"POSSIBLE"<<"\n";
	#else
	cout<<"Possible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}
void impossible(bool ex=true){
	#ifdef CAPITAL
	cout<<"IMPOSSIBLE"<<"\n";
	#else
	cout<<"Impossible"<<"\n";
	#endif
	if(ex)exit(0);
	#ifdef LOCAL
	cout.flush();
	#endif
}

constexpr ll ten(int n){
	return n==0?1:ten(n-1)*10;
}

const ll infLL=LLONG_MAX/3;

#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif

int topbit(signed t){
	return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
	return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
	return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
	return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
	return __builtin_popcount(t);
}
int popcount(ll t){
	return __builtin_popcountll(t);
}
bool ispow2(int i){
	return i&&(i&-i)==i;
}
ll mask(int i){
	return (ll(1)<<i)-1;
}

bool inc(int a,int b,int c){
	return a<=b&&b<=c;
}

template<class t> void mkuni(vc<t>&v){
	sort(all(v));
	v.erase(unique(all(v)),v.ed);
}

ll rand_int(ll l, ll r) { //[l, r]
	#ifdef LOCAL
	static mt19937_64 gen;
	#else
	static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
	#endif
	return uniform_int_distribution<ll>(l, r)(gen);
}

template<class t>
void myshuffle(vc<t>&a){
	rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}

template<class t>
int lwb(const vc<t>&v,const t&a){
	return lower_bound(all(v),a)-v.bg;
}

vvc<int> readGraph(int n,int m){
	vvc<int> g(n);
	rep(i,m){
		int a,b;
		cin>>a>>b;
		//sc.read(a,b);
		a--;b--;
		g[a].pb(b);
		g[b].pb(a);
	}
	return g;
}

vvc<int> readTree(int n){
	return readGraph(n,n-1);
}

//N() が単位元
//VERIFY: yosupo
//CF407E
template<class N>
struct segtree{
	vc<N> x;
	int s;
	segtree(){}
	template<class t>
	segtree(vc<t> a){
		int n=a.size();
		s=1;
		while(s<n){s*=2;}
		x.resize(s*2);
		rep(i,n)
			x[s+i]=N(a[i]);
		gnr(i,1,s)
			x[i]=N::merge(x[i*2],x[i*2+1]);
	}
	//NOT Verified
	segtree(int n){
		resize(n);
	}
	void resize(int n){
		s=1;
		while(s<n){s*=2;}
		x.assign(s*2,N());
		gnr(i,1,s)
			x[i]=N::merge(x[i*2],x[i*2+1]);
	}
	void set(int i,const N&t){
		i+=s;
		x[i]=t;
		while(i>>=1)x[i]=N::merge(x[i*2],x[i*2+1]);
	}
	N composite(int b,int e){
		assert(b<=e);
		N lf,rt;
		for(int l=b+s,r=e+s;l<r;l>>=1,r>>=1){
			if (l&1){
				lf=N::merge(lf,x[l]);
				l++;
			}
			if (r&1){
				r--;
				rt=N::merge(x[r],rt);
			}
		}
		return N::merge(lf,rt);
	}
	N getall(){
		return x[1];
	}
	//UTPC2020E
	//n 超えるかもしれない
	template <class F,class... Args> 
	pair<int,N> max_right(int l,F f,Args&&... args){
		assert(0<=l&&l<=s);
		if(l==s)return mp(s,N());
		l+=s;
		
		N sm;
		assert((sm.*f)(forward<Args>(args)...));
		do {
			while (l % 2 == 0) l >>= 1;
			if (!(N::merge(sm,x[l]).*f)(forward<Args>(args)...)){
				while (l < s) {
					l = (2 * l);
					N tmp=N::merge(sm,x[l]);
					if ((tmp.*f)(forward<Args>(args)...)) {
						sm = tmp;
						l++;
					}
				}
				return mp(l - s,sm);
			}
			sm = N::merge(sm, x[l]);
			l++;
		} while ((l & -l) != l);
		return mp(s,sm);
	}
	//UTPC2020E
	template <class F,class... Args> 
	pair<int,N> min_left(int r,F f,Args&&... args){
		assert((N().*f)(forward<Args>(args)...));
		assert(0<=r&&r<=s);
        if(r==0)return mp(0,N());
        r+=s;
        N sm;
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!(N::merge(x[r],sm).*f)(forward<Args>(args)...)) {
                while (r < s) {
                    r = (2 * r + 1);
                    N tmp=N::merge(x[r],sm);
                    if ((tmp.*f)(forward<Args>(args)...)) {
                        sm = tmp;
                        r--;
                    }
                }
                return mp(r + 1 - s,sm);
            }
            sm = N::merge(x[r], sm);
        } while ((r & -r) != r);
        return mp(0,sm);
    }
};

struct N{
	int sum,mn;
	N(pi v=pi(0,inf)):sum(v.a),mn(v.b){}
	static N merge(const N&a,const N&b){
		return N(pi(a.sum+b.sum,min(a.mn-b.sum,b.mn)));
	}
	bool ok(int v){
		return mn>v;
	}
};

const int L=26;

struct Solver{
	int n,ord;
	vvc<int> t;
	vi sub,par,in,head,jp,ni;
	vc<pi> ls;
	vc<N> acc;
	segtree<N> seg;
	vc<pi> es;
	vi deg;
	void ae(int v,int p){
		//t[p].pb(v);
		es.eb(v,p);
		deg[p]++;
		sub[p]+=sub[v];
		assert(par[v]==-1);
		par[v]=p;
	}
	void dfs(int v,int h,N w){
		in[v]=ord++;
		head[v]=h;
		acc[v]=N::merge(w,acc[v]);
		for(auto&to:t[v]){
			if(sub[to]>sub[t[v][0]])
				swap(to,t[v][0]);
		}
		for(auto to:t[v]){
			dfs(to,to==t[v][0]?h:to,to==t[v][0]?acc[v]:N(pi(0,inf)));
		}
	}
	void init(int nn,vi to,vi add,vi need,vc<pi> lls){
		n=nn;
		ord=0;
		add.pb(0);
		need.pb(0);
		t.resize(n+1);
		sub.resize(n+1,1);
		par.resize(n+1,-1);
		in.resize(n+1,-1);
		head.resize(n+1,-1);
		jp.resize(n+1,-1);
		ni.resize(n+1,-1);
		ls=lls;
		ls.eb(0,-1);
		acc.resize(n+1);
		es.reserve(n);
		deg.resize(n+1);
		
		{
			vi cnt(n+1);
			rep(i,n)cnt[to[i]]++;
			vi qbuf;qbuf.reserve(n+1);
			rep(i,n+1)if(cnt[i]==0)qbuf.pb(i);
			rep(idx,si(qbuf)){
				int v=qbuf[idx];
				if(v<n){
					int p=to[v];
					ae(v,p);
					if(--cnt[p]==0)qbuf.pb(p);
				}
			}
			rep(i,n)if(cnt[i]){
				int x=i;
				while(1){
					assert(cnt[x]==1);
					cnt[x]=0;
					int y=to[x];
					if(y!=i){
						ae(x,y);
						x=y;
					}else{
						jp[x]=y;
						break;
					}
				}
			}
		}
		rep(i,n+1)t[i].resize(deg[i]);
		for(auto [v,p]:es)t[p][--deg[p]]=v;
		rep(i,n+1)acc[i]=N(pi(add[i],need[i]));
		rep(r,n+1)if(par[r]==-1)dfs(r,r,N(pi(0,inf)));
		vc<pi> rw(n+1);
		rep(i,n+1){
			ni[in[i]]=i;
			rw[in[i]]=pi(add[i],need[i]);
		}
		seg=segtree<N>(rw);
		
		vi().swap(sub);
		vc<pi>().swap(es);
		vi().swap(deg);
	}
	pi work(int x,int z){
		assert(acc[x].mn<=z);
		auto [i,w]=seg.min_left(in[x]+1,&N::ok,z);
		z+=w.sum;
		x=ni[i-1];
		z+=ls[x].a;
		x=ls[x].b;
		return pi(x,z);
	}
	pi slv(int x,int z){
		while(1){
			if(acc[x].mn<=z)return work(x,z);
			int h=head[x];
			z+=acc[x].sum;
			if(par[h]==-1){
				x=jp[h];
				break;
			}else{
				x=par[h];
			}
		}
		dmp(par);
		dmp(jp);
		N cur(pi(0,inf));
		while(1){
			dmp(x);
			cur=N::merge(acc[x],cur);
			int h=head[x];
			if(par[h]==-1){
				x=jp[h];
				break;
			}else{
				x=par[h];
			}
		}
		if(cur.mn>=z){
			z+=(cur.mn-z+cur.sum-1)/cur.sum*cur.sum;
		}
		while(1){
			dmp(x);
			if(acc[x].mn<=z)return work(x,z);
			int h=head[x];
			z+=acc[x].sum;
			assert(par[h]!=-1);
			x=par[h];
		}
	}
} ss[L];

void init(signed n, std::vector<signed> s, std::vector<signed> p, std::vector<signed> w, std::vector<signed> l) {
	rep(lv,L){
		vi to(n),add(n),need(n,inf);
		vc<pi> ls(n);
		rep(i,n){
			if(s[i]<=mask(lv)){
				to[i]=w[i];
				add[i]=s[i];
			}else{
				to[i]=l[i];
				add[i]=p[i];
				need[i]=s[i];
			}
			ls[i]=pi(s[i],w[i]);
		}
		ss[lv].init(n,to,add,need,ls);
	}
}

long long simulate(signed x,signed z_){
	int z=z_;
	while(x!=-1){
		int lv=min(topbit(z),L-1);
		tie(x,z)=ss[lv].slv(x,z);
	}
	return z;
}

• Subtask 1: 11 / 11
• Subtask 2: 26 / 26
• Subtask 3: 13 / 13
• Subtask 4: 12 / 12
• Subtask 5: 27 / 27
• Subtask 6: 11 / 11