#496323 (C++17) No.1079 まお

提出ソース
結果

問題	No.1079 まお
ユーザー	hamamu
提出日時	2020-06-13 02:53:50
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	TLE
実行時間	-
コード長	14,760 bytes
コンパイル時間	2,554 ms
コンパイル使用メモリ	223,016 KB
実行使用メモリ	29,340 KB
最終ジャッジ日時	2024-06-24 06:18:49
合計ジャッジ時間	10,850 ms
ジャッジサーバーID （参考情報）	judge4 / judge3
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 10,752 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	3 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	5 ms 5,376 KB
testcase_08	AC	5 ms 5,376 KB
testcase_09	AC	5 ms 5,376 KB
testcase_10	AC	4 ms 5,376 KB
testcase_11	AC	5 ms 5,376 KB
testcase_12	AC	148 ms 10,396 KB
testcase_13	AC	179 ms 11,688 KB
testcase_14	AC	211 ms 12,692 KB
testcase_15	AC	244 ms 14,152 KB
testcase_16	AC	285 ms 16,640 KB
testcase_17	AC	296 ms 14,672 KB
testcase_18	AC	286 ms 16,544 KB
testcase_19	AC	284 ms 15,688 KB
testcase_20	AC	291 ms 13,368 KB
testcase_21	AC	289 ms 14,580 KB
testcase_22	AC	324 ms 18,108 KB
testcase_23	AC	322 ms 17,836 KB
testcase_24	AC	327 ms 18,172 KB
testcase_25	AC	326 ms 19,352 KB
testcase_26	AC	327 ms 16,364 KB
testcase_27	AC	37 ms 17,784 KB
testcase_28	TLE	-
testcase_29	--	-
testcase_30	--	-
testcase_31	--	-
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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;
constexpr dd PI  = 3.1415926535897932;

//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 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, string d=" "){
	ll N=(ll)v.size(); REP(i,N){cout << v[i] << ((i==N-1)?"":d);} cout<<'\n';}
template<class T> inline void coutv(deque<T> &v, string d=" "){
	ll N=(ll)v.size(); REP(i,N){cout << v[i] << ((i==N-1)?"":d);} cout<<'\n';}
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_<998244353LL>; //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> struct SegmentTree{
	using F = function<T(T, T)>;
	vector<T> dat; //第i要素 dat[i+n-1]
	ll n; //要素数以上の最小の 2のべき乗
	F f;
	T ti;
	SegmentTree(){}
	SegmentTree(vector<T> &v, F f, T ti){ Init(v, f, ti); }
	void Init(vector<T> &v, F f, T ti){
		this->f=f; this->ti=ti;
		for (n = 1; n < (ll)v.size(); n *= 2);
		dat.resize(2*n-1, ti);
		REP(i, (ll)v.size()) { dat[i+n-1] = v[i]; }//初期化
		DEP(i, n-1) { dat[i] = f(dat[2*i+1], dat[2*i+2]); }//構築
	}
	void Set(ll i, T x){ //第i要素にxをセット
		i += n-1;  dat[i] = x;
		while (i>0) { i=(i-1)/2; dat[i]=f(dat[2*i+1], dat[2*i+2]); }
	}
	T Range(ll a, ll b) { return range(a, b+1, 0, 0, n); }
	T operator [] (ll i) { return dat[i+n-1]; }
	void Dump(ll w=5){
		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)?" ┬ ":"") << setw(w) << dat[k];
			else   cerr << ((p&~m) ?" ┘ ":"");
			if (k==0) cerr << '\n';
		} cerr << '\n';
	}
	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; //完全に外
		if (a<=l && r<=b) return dat[k];//完全に含まれる
		return f(range(a, b, k*2+1, l, (l+r)/2), range(a, b, k*2+2, (l+r)/2, r));
	}
	ll FindL(ll a, ll b, T x) { return findL(a, b+1, x, 0, 0, n); }
	ll findL(ll a, ll b, T x, ll k, ll l, ll r){ //[l,r)内最左 なければb
		if (r<=a || b<=l || f(dat[k], x)!=dat[k]) return b; //範囲外or満たさない
		if (k >= n-1) return k-(n-1); //葉なら見つかった→位置return
		ll        i = findL(a, b, x, 2*k+1, l, (l+r)/2); //左部分木探す
		if (i==b) i = findL(a, b, x, 2*k+2, (l+r)/2, r); //左になければ右
		return i;
	}
	ll FindR(ll a, ll b, T x) { return findR(a, b+1, x, 0, 0, n); }
	ll findR(ll a, ll b, T x, ll k, ll l, ll r){ //[l,r)内最右 なければa-1
		if (r<=a || b<=l || f(dat[k], x)!=dat[k]) return a-1; //範囲外or満たさない
		if (k >= n-1) return k-(n-1); //葉なら見つかった→位置return
		ll          i = findR(a, b, x, 2*k+2, (l+r)/2, r); //右部分木探す
		if (i==a-1) i = findR(a, b, x, 2*k+1, l, (l+r)/2); //右になければ左
		return i;
	}
};

ll K;
vector<ll> A;
SegmentTree<ll> sgt;


ll dfs(ll a, ll b, unordered_map<ll,ll> &cntR, unordered_map<ll, ll> &sumR){
	if (a>b)return 0;
	
	//[a, b] での最小値複数を見つける
	ll mnval=sgt.Range(a, b);
	vll mnidxs;
	mnidxs.push_back(a-1);
	ll aa=a;
	while (true){
		ll idx = sgt.FindL(aa, b, mnval);
		if (idx==b+1)break;
		mnidxs.push_back(idx);
		aa=idx+1;
	}
	mnidxs.push_back(b+1);
	ll s=sz(mnidxs);

	ll ans=0;
	vector<unordered_map<ll, ll>> cnt(s-1), sum(s-1);

	rep(i, 0, s-2){
		ll aaa=mnidxs[i]+1;
		ll bbb=mnidxs[i+1]-1;
		ll v=dfs(aaa, bbb, cnt[i], sum[i]);
		ans+=v;
	}


	rep(i, 1, s-2){
		ll x=mnidxs[i-1]+1;
		ll y=mnidxs[i];
		ll z=mnidxs[i+1]-1;
		
		if (x-y<y-z){
			unordered_map<ll, ll> &cntA=cnt[i];
			unordered_map<ll, ll> &sumA=sum[i];
			rep(j, x, y){
				ll v=K-A[j];
				if (cntA.count(v)==1){
					ans += sumA[v] - (j-1)*cntA[v];
				}
				if (v==A[y]) ans += y-j+1;
			}
		}
		else{
			unordered_map<ll, ll> &cntA=cnt[i-1];
			unordered_map<ll, ll> &sumA=sum[i-1];
			rep(j, y, z){
				ll v=K-A[j];
				if (cntA.count(v)==1){
					ans += (j+1)*cntA[v] - sumA[v];
				}
				if (v==A[y]) ans+=j-y+1;
			}
		}
	}

	//マージテク
	ll mxi=0;
	rep(i, 1, s-2){
		if (cnt[mxi].size()<cnt[i].size()) mxi=i;
	}
	unordered_map<ll, ll> &cntm=cnt[mxi];
	unordered_map<ll, ll> &summ=sum[mxi];
	rep(i, 0, s-2){
		if (i==mxi)continue;
		each(e, cnt[i]) cntm[e.first] += e.second;
		each(e, sum[i]) summ[e.first] += e.second;
	}
	rep(i, 1, s-2){
		ll y=mnidxs[i];
		cntm[A[y]]++;
		summ[A[y]]+=y;
	}

	cntR.swap(cntm);
	sumR.swap(summ);
	return ans;
}


void solve()
{
	ll n;  cin >> n >> K;
	A = cinv<ll>(n);

	sgt.Init(
		A, //全初期値の入ったvector
		[](ll x, ll y){return min(x, y); }, //データ同士の合成関数
		INF //単位元
	);
	unordered_map<ll, ll> cnt, sum;
	ll ans=dfs(0, n-1,cnt,sum);
	cout << ans << '\n';
}

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

結果

テストケース

ソースコード
