#483250 (C++17) No.1054 Union add query

提出ソース
結果

問題	No.1054 Union add query
ユーザー	hamamu
提出日時	2020-05-18 00:26:10
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	15,562 bytes
コンパイル時間	2,860 ms
コンパイル使用メモリ	218,960 KB
実行使用メモリ	80,596 KB
最終ジャッジ日時	2024-04-09 02:16:43
合計ジャッジ時間	7,109 ms
ジャッジサーバーID （参考情報）	judge5 / judge1
このコードへのチャレンジ
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テストケース

テストケース表示
入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 6,816 KB
testcase_01	AC	2 ms 6,948 KB
testcase_02	AC	1 ms 6,944 KB
testcase_03	WA	-
testcase_04	WA	-
testcase_05	WA	-
testcase_06	AC	289 ms 44,036 KB
testcase_07	AC	240 ms 44,036 KB
testcase_08	AC	259 ms 43,136 KB
testcase_09	WA	-
testcase_10	AC	286 ms 78,076 KB
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ソースコード

raw source code
#include "bits/stdc++.h"
#include <random>
using namespace std;
using ll    =long long;    using dd   =double;        using pll    =pair<ll, ll>;  using tll    =tuple<ll,ll,ll>;
using vll   =vector<ll>;   using vdd  =vector<dd>;    using vpll   =vector<pll>;   using vtll   =vector<tll>;
using vvll  =vector<vll>;  using vvdd =vector<vdd>;   using vvpll  =vector<vpll>;  using vvtll  =vector<vtll>;
using vvvll =vector<vvll>; using vvvdd=vector<vvdd>;  using vvvpll =vector<vvpll>; using vvvtll =vector<vvtll>;
using vvvvll=vector<vvvll>;using vvvvdd=vector<vvvdd>;using vvvvpll=vector<vvvpll>;using vvvvtll=vector<vvvtll>;

constexpr ll INF = 1LL << 60;
constexpr dd EPS = 1e-11;

//cin,cout高速化のおまじない＋桁数指定
struct Fast{
	Fast(){
		cin.tie(0);
		ios::sync_with_stdio(false);
		cout << fixed << setprecision(std::numeric_limits<double>::max_digits10);
	}
} fast;

#define REPS(i, S, E) for (ll i = (S); i <= (E); i++)
#define rep(i, S, E)  for (ll i = (S); i <= (E); i++)
#define REP(i, N) REPS(i, 0, (N)-1)
#define DEPS(i, S, E) for (ll i = (E); i >= (S); i--)
#define dep(i, E, S)  for (ll i = (E); i >= (S); i--)
#define DEP(i, N) DEPS(i, 0, (N)-1)
#define EACH(e, v) for (auto&& e : v)
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()

template<class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; }
template<class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; }
template<class T> inline T MaxE(vector<T>&v,ll S,ll E){T m=v[S]; REPS(i,S,E)chmax(m,v[i]); return m;}//v[S]～v[E]の最大値
template<class T> inline T MinE(vector<T>&v,ll S,ll E){T m=v[S]; REPS(i,S,E)chmin(m,v[i]); return m;}//v[S]～v[E]の最小値
template<class T> inline T MaxE(vector<T> &v, ll N) { return MaxE(v, 0, N - 1); } //先頭N個中の最大値
template<class T> inline T MinE(vector<T> &v, ll N) { return MinE(v, 0, N - 1); }
template<class T> inline T MaxE(vector<T> &v) { return MaxE(v, (ll)v.size()); }
template<class T> inline T MinE(vector<T> &v) { return MinE(v, (ll)v.size()); }
template<class T> inline ll MaxI(vector<T>&v,ll S,ll E){ll m=S; REPS(i,S,E){if(v[i]>v[m])m=i;} return m;}
template<class T> inline ll MinI(vector<T>&v,ll S,ll E){ll m=S; REPS(i,S,E){if(v[i]<v[m])m=i;} return m;}
template<class T> inline ll MaxI(vector<T> &v, ll N) { return MaxI(v, 0, N - 1); }
template<class T> inline ll MinI(vector<T> &v, ll N) { return MinI(v, 0, N - 1); }
template<class T> inline ll MaxI(vector<T> &v) { return MaxI(v, (ll)v.size()); }
template<class T> inline ll MinI(vector<T> &v) { return MinI(v, (ll)v.size()); }
template<class T> inline T Sum(vector<T> &v, ll S,ll E){ T s=v[S]; REPS(i,S+1,E)s+=v[i]; return s; }
template<class T> inline T Sum(vector<T> &v, ll N) { return Sum(v, 0, N - 1); }
template<class T> inline T Sum(vector<T> &v) { return Sum(v, v.size()); }
template<class T> inline ll sz(T &v){ return (ll)v.size(); }
template<class T> inline T POW(T a, ll n){ T r=1; for (; n>0; n>>=1, a*=a){ if (n&1)r*=a; } return r; }
inline ll POW(int a, ll n){ return POW((ll)a, n); }
inline ll CEIL(ll a, ll b){ return (a+b-1)/b; }
ll Gcd(ll a, ll b){ return (b==0) ? a : Gcd(b, a%b); }
ll Lcm(ll a, ll b){ return a * b / Gcd(a, b); }
inline ll MSB(ll a){ for (ll o=63, x=-1;;){ ll m=(o+x)/2; if (a<(1LL<<m))o=m; else x=m; if (o-x==1)return x; } }
inline ll Upper2N(ll s) { return 1LL<<MSB(s)<<1; }//s<2^nなる最小の2^n
inline vll Bit2Idx(ll m){vll v; for(ll i=0;m;m>>=1,i++) if(m&1)v.push_back(i); return move(v);}
inline ll BitNum(ll m){ for (ll c=0;; m>>=1){ c+=m&1; if (!m)return c; } }
inline ll Bit(ll s, ll i){ return (s>>i)&1; } //sの第ibit i=0-63
[[nodiscard]] inline ll BitOn(ll s, ll i){ return s|(1LL<<i); } //sの第ibitON i=0-63
[[nodiscard]] inline ll BitOff(ll s, ll i){ return s&~(1LL<<i); } //sの第ibitOFF i=0-63
[[nodiscard]] inline ll BitCut(ll s, ll i){ return s & (1LL<<++i)-1; }//sの第0～第ibitを抽出
inline vll str2num(string &s, ll N) {vll v(N); REP(i, N) v[i]=(ll)(s[i]-'0'); return move(v);}
inline vll ALP2num(string &s, ll N) {vll v(N); REP(i, N) v[i]=(ll)(s[i]-'A'); return move(v);}
inline vll alp2num(string &s, ll N) {vll v(N); REP(i, N) v[i]=(ll)(s[i]-'a'); return move(v);}
template<class T> inline ll FloorIdx(vector<T> &v, T x){ return upper_bound(ALL(v), x)-v.begin()-1; }
template<class T> inline ll CeilIdx(vector<T> &v, T x){ return lower_bound(ALL(v), x)-v.begin(); }
template<class T> inline ll UnderNumOf(vector<T> &v, T x){ //sort済vのx以下の個数を得る
	return upper_bound(v.begin(), v.end(), x) - v.begin(); }
template<class T, class Pr> inline ll UnderNumOf(vector<T> &v, T x, Pr pred){ //x以下個数
	return upper_bound(v.begin(), v.end(), x, pred) - v.begin(); }
template<class T> inline ll OverNumOf(vector<T> &v, T x){ //sort済vのx以上の個数を得る
	return (ll)v.size() - (lower_bound(v.begin(), v.end(), x) - v.begin()); }
template<class T, class Pr> inline ll OverNumOf(vector<T> &v, T x, Pr pred){ //x以上の個数
	return (ll)v.size() - (lower_bound(v.begin(), v.end(), x, pred) - v.begin()); }

template<class T=ll> inline vector<T> cinv(ll N){ vector<T> v(N); REP(i, N)cin>>v[i]; return move(v);}
template<class T=ll, class S=ll> inline vector<pair<T, S>> cinv2(ll N){
	vector<pair<T, S>> v(N); REP(i,N){cin>>v[i].first>>v[i].second;} return move(v); }
template<class T=ll,class S=ll,class R=ll> inline vector<tuple<T, S, R>> cinv3(ll N){
	vector<tuple<T,S,R>> v(N); REP(i,N){cin>>get<0>(v[i])>>get<1>(v[i])>>get<2>(v[i]);} return move(v);}
template<class T=ll,class S=ll,class R=ll,class Q=ll> inline vector<tuple<T,S,R,Q>> cinv4(ll N){
	vector<tuple<T,S,R,Q>> v(N); REP(i,N){cin>>get<0>(v[i])>>get<1>(v[i])>>get<2>(v[i])>>get<3>(v[i]);} return move(v);}
template<class T=ll> inline vector<vector<T>> cinvv(ll N, ll M){
	vector<vector<T>> vv(N); REP(i, N) vv[i] = cinv(M); return move(vv);}
template<class T> inline void coutv(vector<T> &v, char deli=' '){
	ll N=(ll)v.size(); REP(i,N){cout << v[i] << ((i==N-1)?'\n':deli);} }
template<class T> inline void coutv(deque<T> &v, char deli=' '){
	ll N=(ll)v.size(); REP(i,N){cout << v[i] << ((i==N-1)?'\n':deli);} }
template<class T> void bye(T a){cout << a << '\n'; exit(0);}

#if defined(_DEBUG)
ll dumpW = 5;
template<class T> void Dump(vector<T> &v){
	REP(i, (ll)v.size()) { cerr << ((i==0)?"[":" ") << setw(dumpW) << v[i]; }  cerr << "]";
}
void Dump(vll &v){
	REP(i, (ll)v.size()) {
		cerr << ((i==0)?"[":" ") << setw(dumpW);
		if       (v[i] == INF) cerr << "INF";
		else if (v[i] == -INF) cerr << "-INF";
		else                   cerr << v[i];
	}  cerr << "]";
}
template<class T> void Dump(vector<vector<T>> &v){
	ll N=(ll)v.size();  string d[2][2]={{" ", "["},  {"\n", "]\n"}};
	REP(i, N) { cerr << d[0][i==0];  Dump(v[i]);  cerr << d[1][i==N-1]; }
}
template<class T> void Dump(vector<vector<vector<T>>> &v){
	ll N=(ll)v.size();  string d[2]={"  <", "[ <"};
	REP(i, N) { cerr << d[i==0] << i << ">\n"; Dump(v[i]); }  cerr << "]\n";
}
template<class T> void Dump(vector<vector<vector<vector<T>>>> &v){
	ll N=(ll)v.size();  string d[2]={"  ---<", "[ ---<"};
	REP(i, N) { cerr << d[i==0] << i << ">---\n"; Dump(v[i]); }  cerr << "]\n";
}
template<class T> void Dump(vector<vector<vector<vector<vector<T>>>>> &v){
	ll N=(ll)v.size();  string d[2]={"  ======<", "[ ======<"};
	REP(i, N) { cerr << d[i==0] << i << ">======\n"; Dump(v[i]); }  cerr << "]\n";
}
#else
template<class T> void Dump(vector<T> &v){}
template<class T> void Dump(vector<vector<T>> &v){}
template<class T> void Dump(vector<vector<vector<T>>> &v){}
template<class T> void Dump(vector<vector<vector<vector<T>>>> &v){}
template<class T> void Dump(vector<vector<vector<vector<vector<T>>>>> &v){}
#endif

template<ll MOD> struct mll_{
	ll val;
	mll_(ll v = 0): val(v % MOD){ if (val < 0) val += MOD; }
	mll_ operator - () const { return -val; }
	mll_ operator + (const mll_ &b) const { return val + b.val; }
	mll_ operator - (const mll_ &b) const { return val - b.val; }
	mll_ operator * (const mll_ &b) const { return val * b.val; }
	mll_ operator / (const mll_ &b) const { return mll_(*this) /= b; }
	mll_ operator + (ll b) const { return *this + mll_(b); }
	mll_ operator - (ll b) const { return *this - mll_(b); }
	mll_ operator * (ll b) const { return *this * mll_(b); }
	friend mll_ operator + (ll a, const mll_ &b) { return b + a; }
	friend mll_ operator - (ll a, const mll_ &b) { return -b + a; }
	friend mll_ operator * (ll a, const mll_ &b) { return b * a; }
	friend mll_ operator / (ll a, const mll_ &b) { return mll_(a)/b; }
	mll_ &operator += (const mll_ &b) { val=(val+b.val)%MOD; return *this; }
	mll_ &operator -= (const mll_ &b) { val=(val+MOD-b.val)%MOD; return *this; }
	mll_ &operator *= (const mll_ &b) { val=(val*b.val)%MOD; return *this; }
	mll_ &operator /= (const mll_ &b) {
		ll c=b.val, d=MOD, u=1, v=0;
		while (d){
			ll t = c / d;
			c -= t * d; swap(c, d);
			u -= t * v; swap(u, v);
		}
		val = val * u % MOD;
		if (val < 0) val += MOD;
		return *this;
	}
	mll_ &operator += (ll b) { return *this += mll_(b); }
	mll_ &operator -= (ll b) { return *this -= mll_(b); }
	mll_ &operator *= (ll b) { return *this *= mll_(b); }
	mll_ &operator /= (ll b) { return *this /= mll_(b); }
	bool operator == (const mll_ &b) { return val == b.val; }
	bool operator != (const mll_ &b) { return val != b.val; }
	bool operator == (ll b) { return *this == mll_(b); }
	bool operator != (ll b) { return *this != mll_(b); }
	friend bool operator == (ll a, const mll_ &b) { return mll_(a) == b.val; }
	friend bool operator != (ll a, const mll_ &b) { return mll_(a) != b.val; }
	friend ostream &operator << (ostream &os, const mll_ &a) { return os << a.val; }
	friend istream &operator >> (istream &is, mll_ &a) { return is >> a.val; }
	static mll_ Combination(ll a, ll b){
		chmin(b, a-b);
		if (b<0) return mll_(0);
		mll_ c = 1;
		REP(i, b) c *= a-i;
		REP(i, b) c /= i+1;
		return c;
	}
};
using mll = mll_<1000000007LL>; //1000000007LL;// 998244353LL;
using vmll = std::vector<mll>;
using vvmll = std::vector<vmll>;
using vvvmll = std::vector<vvmll>;
using vvvvmll = std::vector<vvvmll>;
using vvvvvmll = std::vector<vvvvmll>;


template <class T, class E> struct LazySegmentTree{
	using F = function<T(T, T)>;
	using G = function<T(T, E)>;
	using H = function<E(E, E)>;
	F f; //!< データ同士の合成関数
	G g; //!< 作用関数
	H h; //!< 作用素同士の合成関数
	T ti; //!< データの単位元 実際の単位元をセットしないとだめ
	E ei; //!< 作用素の単位元 実際の単位元ではなくても、使わない値ならOK
	ll n=1; //!< データ数の2べき上界
	vector<T> dat;
	vector<E> laz;
	LazySegmentTree() {}
	LazySegmentTree(vector<T> &v, F f, G g, H h, T ti, E ei) { Init(v, f, g, h, ti, ei); }
	void Init(vector<T> &v, F f, G g, H h, T ti, E ei){
		this->f=f; this->g=g; this->h=h; this->ti=ti; this->ei=ei;
		while (n<(ll)v.size()) n<<=1;
		dat.resize(2*n-1, ti);
		laz.resize(2*n-1, ei);
		for (ll i=0; i<(ll)v.size(); i++) dat[n-1+i] = v[i];
		for (ll i=n-2; i>=0; i--) dat[i] = f(dat[2*i+1], dat[2*i+2]);
	}
	void Update(ll a, ll b, E x){ update(a, b+1, x, 0, 0, n); } //[a,b]にxを作用
	void update(ll a, ll b, E x, ll k, ll l, ll r){ //注目ノードk=[l,r)
		if (r<=a || b<=l) eval(k); //[l,r)が[a,b)と重ならない時
		else if (a<=l && r<=b){ //[l,r)が[a,b)の内側の時
			laz[k] = h(laz[k], x);
			eval(k); //親ノードが後でdat[k]を見るため、ここで評価しておく必要あり
		}
		else { //[l,r)が[a,b)から一部はみ出す時
			eval(k); //子ノードを処理する前に評価しておく必要あり
			update(a, b, x, k*2+1, l, (l+r)/2);
			update(a, b, x, k*2+2, (l+r)/2, r);
			dat[k] = f(dat[k*2+1], dat[k*2+2]);
		}
	}
	T Range(ll a, ll b) { return range(a, b+1, 0, 0, n); }//[a,b]の値を取得
	T range(ll a, ll b, ll k, ll l, ll r){ //注目ノードk=[l,r)
		if (r<=a || b<=l) return ti; //[l,r)が[a,b)と重ならない時
		eval(k); //自分や子の値を見る前に評価が必要
		if (a<=l && r<=b) return dat[k];//[l,r)が[a,b)の内側の時
		return f(range(a, b, k*2+1, l, (l+r)/2), range(a, b, k*2+2, (l+r)/2, r));
										//[l,r)が[a,b)から一部はみ出す時
	}
	void eval(ll k){
		if (laz[k] == ei) return;
		if (k<=n-2){ //子に作用素を配る
			laz[k*2+1] = h(laz[k*2+1], laz[k]);
			laz[k*2+2] = h(laz[k*2+2], laz[k]);
		}
		//自分に作用させる
		dat[k] = g(dat[k], laz[k]);
		laz[k] = ei;
	}
	void Dump(ll w=5){
		auto disp=[&](ll x){
			if (x==-INF) cerr << setw(w) << "-INF";
			else if (x== INF) cerr << setw(w) << "INF";
			else              cerr << setw(w) << x;
		};
		REP(i, n) for (ll k=i+n-1, m=1, p=1; k>=0; p=m, m*=k%2, k=(k==0)?-1:(k-1)/2){
			if (m){
				cerr << ((k<n-1)?" ┬ ":""); disp(dat[k]); cerr<<" /"; disp(laz[k]);
			}
			else{
				cerr << ((p&~m) ?" ┘ ":"");
			}
			if (k==0) cerr << '\n';
		} cerr << '\n';
	}
};


class UnionFindTree{
public:
	vll par, rank, size, tail;
	vll pList;
	UnionFindTree(ll num):
		par(num), rank(num), size(num, 1), tail(num), pList(num,-1)
	{
		REP(i, num) par[i] = i;
		rep(i, 0, num-1) tail[i]=i;
	}
	bool Same(ll x, ll y) { return Root(x) == Root(y); }
	ll Root(ll x) { return (par[x] == x) ? x : par[x]=Root(par[x]); }
	ll Size(ll x){ return size[Root(x)]; }
	void Unite(ll x, ll y){
		x = Root(x);
		y = Root(y);
		if (x == y) return;
		if (rank[x] < rank[y]){
			par[x] = y;
			pList[x] = tail[y];
			tail[y] = tail[x];
		}
		else{
			par[y] = x;
			pList[y] = tail[x];
			tail[x] = tail[y];
		}
		if (rank[x] == rank[y]) rank[x]++;
		size[x] = size[y] = size[x] + size[y];
	}
};



void solve()
{
	ll N, Q;  cin >> N >> Q;
	vector<tuple<ll, ll, ll>> TAB = cinv3<ll, ll, ll>(Q);
	rep(i, 0, Q-1){
		ll t; ll a; ll b;  tie(t, a, b) = TAB[i];
		get<1>(TAB[i])--;
		if (t==1){
			get<2>(TAB[i])--;
		}
	}


	UnionFindTree uft2(N);
	rep(i, 0, Q-1){
		ll t; ll a; ll b;  tie(t, a, b) = TAB[i];
		if (t!=1) continue;
		uft2.Unite(a, b);
	}

	vll segidx(N);
	rep(i, 0, N-1){
		if (uft2.par[i] != i) continue;
		
		ll cnt=0;
		ll v = uft2.tail[i];
		while (v!=-1){
			segidx[v] = cnt++;

			v=uft2.pList[v];
		}
	}

	vll ini(N);
	//ini[0] = 9;
	LazySegmentTree<ll,ll> sgt(
			ini,
			[](ll x, ll y){ return max(x, y); },//データ同士の合成関数
			[](ll x, ll y){ return x + y; },//データxに作用素yを作用させる関数
			[](ll x, ll y){ return x + y; },//作用素の合成関数
			-INF, //データの単位元 実際の単位元をセットしないとだめ
			0); //作用素の単位元 実際の単位元ではなくても、使わない値ならOK
	//sgt.Dump();
	vll ans;
	UnionFindTree uft(N);
	rep(i, 0, Q-1){
		ll t; ll a; ll b;  tie(t, a, b) = TAB[i];
		if (t==1){
			uft.Unite(a, b);
		}
		else if (t==2){
			ll u = uft.Root(a);
			ll idxA = segidx[u];
			ll v = uft.tail[u];
			ll idxB = segidx[v];
			sgt.Update(idxB, idxA, b);
			//sgt.Dump();
		}
		else{
			ll idxA = segidx[a];

			ll val = sgt.Range(idxA, idxA);
			ans.push_back(val);
			//sgt.Dump();
		}
	}
	coutv(ans, '\n');
}

int main(){
#if 1
	solve();
#else
	ll t;  cin >> t;
	rep(i, 0, t-1){
		solve();
	}
#endif
	return 0;
}
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結果

テストケース

ソースコード
