#462509 (C++14) No.1024 Children in a Row

• 問題: No.1024 Children in a Row
• ユーザー: maroon_kuri
• 提出日時: 2020-04-11 00:20:12
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 567 ms / 2,000 ms
• コード長: 6,241 bytes
• コンパイル時間: 2,205 ms
• コンパイル使用メモリ: 188,556 KB
• 実行使用メモリ: 71,956 KB
• 最終ジャッジ日時: 2024-09-16 04:20:35
• 合計ジャッジ時間: 14,122 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	3 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	3 ms; 5,376 KB
testcase_10	AC	511 ms; 52,864 KB
testcase_11	AC	461 ms; 47,872 KB
testcase_12	AC	473 ms; 49,920 KB
testcase_13	AC	464 ms; 51,456 KB
testcase_14	AC	449 ms; 49,884 KB
testcase_15	AC	453 ms; 52,152 KB
testcase_16	AC	403 ms; 50,084 KB
testcase_17	AC	392 ms; 55,168 KB
testcase_18	AC	350 ms; 51,368 KB
testcase_19	AC	541 ms; 64,640 KB
testcase_20	AC	567 ms; 64,588 KB
testcase_21	AC	557 ms; 64,496 KB
testcase_22	AC	534 ms; 64,640 KB
testcase_23	AC	541 ms; 65,104 KB
testcase_24	AC	469 ms; 65,100 KB
testcase_25	AC	491 ms; 65,244 KB
testcase_26	AC	432 ms; 67,568 KB
testcase_27	AC	396 ms; 64,232 KB
testcase_28	AC	435 ms; 71,956 KB
testcase_29	AC	188 ms; 71,756 KB

ソースコード

#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> void chmax(t&a,u b){if(a<b)a=b;}
template<class t,class u> void chmin(t&a,u b){if(b<a)a=b;}

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;
}

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);
}

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

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;
}

//dep,par は not verified
//yukicoder no.1024
template<class E>
struct treedfs{
	const vvc<E>&g;
	const int n;
	int cnt;
	vi par,dep,in,out;
	void dfs(int v,int p,int d){
		par[v]=p;
		dep[v]=d;
		in[v]=cnt++;
		for(auto e:g[v])if(e!=p)
			dfs(e,v,d+1);
		out[v]=cnt;
	}
	treedfs(const vvc<E>&gg,int r):g(gg),n(si(g)),cnt(0),par(n),dep(n),in(n),out(n){
		dfs(r,-1,0);
	}
};

template<class t>
struct BIT{
	vc<t> buf;
	int s;
	BIT(int n=0){init(n);}
	void init(int n){buf.assign(s=n,0);}
	void add(int i,t v){
		for(;i<s;i+=(i+1)&(-i-1))
			buf[i]+=v;
	}
	t get(int i){
		t res=0;
		for(;i>=0;i-=(i+1)&(-i-1))
			res+=buf[i];
		return res;
	}
	t sum(int b,int e){
		return get(e-1)-get(b-1);
	}
	int kth(int k){
		int res=0;
		for(int i=topbit(s);i>=0;i--){
			int w=res+(1<<i);
			if(w<=s&&buf[w-1]<=k){
				k-=buf[w-1];
				res=w;
			}
		}
		return res;
	}
	int kth_helper(int k,int i){
		return kth(k+get(i-1));
	}
};

signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	
	int n,m;cin>>n>>m;
	int s=n+m;
	vvc<int> idx(n);
	rep(i,n)idx[i].pb(i);
	vvc<int> t(s);
	rep(i,n-1)t[i].pb(i+1);
	vc<pi> pos(m);
	vi ks(m);
	rep(i,m){
		int a,b,k;cin>>a>>b>>k;
		ks[i]=k;
		a--;b--;
		int cur=n+i;
		pos[i]=pi(a,si(idx[a]));
		idx[a].pb(cur);
		int par=idx[b].back();
		t[par].pb(cur);
	}
	
	rep(i,s)reverse(all(t[i]));
	
	treedfs<int> h(t,0);
	
	vi corr(s);
	rep(i,n)for(auto j:idx[i])
		corr[h.in[j]]=i;
	
	BIT<int> bit(s);
	rep(i,n)bit.add(h.in[idx[i].back()],1);
	
	//dmp(t);
	
	rep(i,m){
		int a,b;tie(a,b)=pos[i];
		if(b==si(idx[a])-1){
			bit.add(h.in[idx[a][b]],-1);
			bit.add(h.in[idx[a][b-1]],1);
		}
		
		int j=idx[a][b];
		int w=idx[a][b-1];
		
		//dmp2(j,w);
		
		int ans=-1;
		vc<pi> z;
		z.eb(0,min(h.in[j],h.in[w]+1));
		if(h.in[j]<h.in[w]){
			z.eb(h.out[j],h.in[w]+1);
			z.eb(h.in[j],h.out[j]);
		}else{
			z.eb(h.in[j],h.out[j]);
			z.eb(h.in[w]+1,h.in[j]);
		}
		z.eb(max(h.out[j],h.in[w]+1),s);
		for(auto u:z){
			int sub=bit.sum(u.a,u.b);
			//dmp2(u.a,u.b,sub,ks[i]);
			if(ks[i]<=sub){
				ans=corr[bit.kth_helper(ks[i]-1,u.a)];
				break;
			}
			ks[i]-=sub;
		}
		print(ans+1);
		//exit(0);
		
		if(b==si(idx[a])-1){
			bit.add(h.in[idx[a][b]],1);
			bit.add(h.in[idx[a][b-1]],-1);
		}
	}
}