結果

問題 No.1300 Sum of Inversions
ユーザー chocopuuchocopuu
提出日時 2020-11-27 21:52:21
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,508 bytes
コンパイル時間 2,440 ms
コンパイル使用メモリ 217,952 KB
実行使用メモリ 22,856 KB
最終ジャッジ日時 2023-10-01 05:26:35
合計ジャッジ時間 14,660 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
このコードへのチャレンジ(β)

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 1 ms
4,384 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 341 ms
21,980 KB
testcase_04 AC 333 ms
21,776 KB
testcase_05 AC 265 ms
13,152 KB
testcase_06 AC 386 ms
22,144 KB
testcase_07 AC 377 ms
22,104 KB
testcase_08 AC 419 ms
22,356 KB
testcase_09 AC 420 ms
22,296 KB
testcase_10 AC 216 ms
12,960 KB
testcase_11 AC 219 ms
13,024 KB
testcase_12 AC 339 ms
21,788 KB
testcase_13 AC 331 ms
21,680 KB
testcase_14 AC 457 ms
22,608 KB
testcase_15 AC 414 ms
22,388 KB
testcase_16 AC 353 ms
21,856 KB
testcase_17 AC 209 ms
12,812 KB
testcase_18 AC 245 ms
13,188 KB
testcase_19 AC 302 ms
21,684 KB
testcase_20 AC 309 ms
21,744 KB
testcase_21 AC 310 ms
21,876 KB
testcase_22 AC 268 ms
13,236 KB
testcase_23 AC 385 ms
22,132 KB
testcase_24 AC 280 ms
13,544 KB
testcase_25 AC 231 ms
12,992 KB
testcase_26 AC 229 ms
13,104 KB
testcase_27 AC 250 ms
13,232 KB
testcase_28 AC 421 ms
22,496 KB
testcase_29 AC 295 ms
21,592 KB
testcase_30 AC 416 ms
22,292 KB
testcase_31 AC 263 ms
13,304 KB
testcase_32 AC 275 ms
13,304 KB
testcase_33 AC 53 ms
6,684 KB
testcase_34 AC 106 ms
6,608 KB
testcase_35 AC 285 ms
22,512 KB
testcase_36 WA -
権限があれば一括ダウンロードができます

ソースコード

diff #

#include "bits/stdc++.h"
using namespace std;
//#include "atcoder/all"
//using namespace atcoder;
#define int long long
#define REP(i, n) for (int i = 0; i < (int)n; ++i)
#define RREP(i, n) for (int i = (int)n - 1; i >= 0; --i)
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define RFOR(i, s, n) for (int i = (int)n - 1; i >= s; --i)
#define ALL(a) a.begin(), a.end()
#define IN(a, x, b) (a <= x && x < b)
template<class T>istream&operator >>(istream&is,vector<T>&vec){for(T&x:vec)is>>x;return is;}
template<class T>inline void out(T t){cout << t << "\n";}
template<class T,class... Ts>inline void out(T t,Ts... ts){cout << t << " ";out(ts...);}
template<class T>inline bool CHMIN(T&a,T b){if(a > b){a = b;return true;}return false;}
template<class T>inline bool CHMAX(T&a,T b){if(a < b){a = b;return true;}return false;}
constexpr int INF = 1e18;

template<int MOD> struct Fp {
	long long val;
	constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
		if (val < 0) val += MOD;
	}
	constexpr int getmod() { return MOD; }
	constexpr Fp operator - () const noexcept {
		return val ? MOD - val : 0;
	}
	constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
	constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
	constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
	constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
	constexpr Fp& operator += (const Fp& r) noexcept {
		val += r.val;
		if (val >= MOD) val -= MOD;
		return *this;
	}
	constexpr Fp& operator -= (const Fp& r) noexcept {
		val -= r.val;
		if (val < 0) val += MOD;
		return *this;
	}
	constexpr Fp& operator *= (const Fp& r) noexcept {
		val = val * r.val % MOD;
		return *this;
	}
	constexpr Fp& operator /= (const Fp& r) noexcept {
		long long a = r.val, b = MOD, u = 1, v = 0;
		while (b) {
			long long t = a / b;
			a -= t * b; swap(a, b);
			u -= t * v; swap(u, v);
		}
		val = val * u % MOD;
		if (val < 0) val += MOD;
		return *this;
	}
	constexpr bool operator == (const Fp& r) const noexcept {
		return this->val == r.val;
	}
	constexpr bool operator != (const Fp& r) const noexcept {
		return this->val != r.val;
	}
	friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
		return os << x.val;
	}
	friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
		if (n == 0) return 1;
		auto t = modpow(a, n / 2);
		t = t * t;
		if (n & 1) t = t * a;
		return t;
	}
};
 

template<class T> struct BiCoef {
	vector<T> fact_, inv_, finv_;
	constexpr BiCoef() {}
	constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
		init(n);
	}
	constexpr void init(int n) noexcept {
		fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
		int MOD = fact_[0].getmod();
		for(int i = 2; i < n; i++){
			fact_[i] = fact_[i-1] * i;
			inv_[i] = -inv_[MOD%i] * (MOD/i);
			finv_[i] = finv_[i-1] * inv_[i];
		}
	}
	constexpr T com(int n, int k) const noexcept {
		if (n < k || n < 0 || k < 0) return 0;
		return fact_[n] * finv_[k] * finv_[n-k];
	}
	constexpr T P(int n, int k) const noexcept {
		if (n < k || n < 0 || k < 0) return 0;
		return fact_[n] * finv_[n-k];
	}
	constexpr T fact(int n) const noexcept {
		if (n < 0) return 0;
		return fact_[n];
	}
	constexpr T inv(int n) const noexcept {
		if (n < 0) return 0;
		return inv_[n];
	}
	constexpr T finv(int n) const noexcept {
		if (n < 0) return 0;
		return finv_[n];
	}
};
 
// const int MOD = 1000000007;
const int MOD = 998244353;
using mint = Fp<MOD>;
BiCoef<mint> bc;
// bc.init(500050);

template <typename T>
struct SegmentTree{
  using F = function<T(T,T)>;
  int n;
  F f;
  T ti;
  vector<T> dat;

  SegmentTree(){}
  SegmentTree(F f,T ti):f(f),ti(ti){}

  void init(int n_){
	n=1;
	while(n<n_) n<<=1;
	dat.assign(n<<1,ti);
  }

  void build(const vector<T> &v){
	int n_=v.size();
	init(n_);
	for(int i=0;i<n_;i++) dat[n+i]=v[i];
	for(int i=n-1;i;i--)
	  dat[i]=f(dat[(i<<1)|0],dat[(i<<1)|1]);
  }

  void set_val(int k,T x){
	dat[k+=n]=x;
	while(k>>=1)
	  dat[k]=f(dat[(k<<1)|0],dat[(k<<1)|1]);
  }

  T query(int a,int b){
	if(a>=b) return ti;
	T vl=ti,vr=ti;
	for(int l=a+n,r=b+n;l<r;l>>=1,r>>=1) {
	  if(l&1) vl=f(vl,dat[l++]);
	  if(r&1) vr=f(dat[--r],vr);
	}
	return f(vl,vr);
  }

  template<typename C>
  int find(int st,C &check,T &acc,int k,int l,int r){
	if(l+1==r){
	  acc=f(acc,dat[k]);
	  return check(acc)?k-n:-1;
	}
	int m=(l+r)>>1;
	if(m<=st) return find(st,check,acc,(k<<1)|1,m,r);
	if(st<=l&&!check(f(acc,dat[k]))){
	  acc=f(acc,dat[k]);
	  return -1;
	}
	int vl=find(st,check,acc,(k<<1)|0,l,m);
	if(~vl) return vl;
	return find(st,check,acc,(k<<1)|1,m,r);
  }

  template<typename C>
  int find(int st,C &check){
	T acc=ti;
	return find(st,check,acc,1,0,n);
  }
  //アウトの条件を渡す
};

template< typename T >
struct Compress {
  vector< T > xs;

  Compress() = default;

  Compress(const vector< T > &vs) {
	add(vs);
  }

  Compress(const initializer_list< vector< T > > &vs) {
	for(auto &p : vs) add(p);
  }

  void add(const vector< T > &vs) {
	copy(begin(vs), end(vs), back_inserter(xs));
  }

  void add(const T &x) {
	xs.emplace_back(x);
  }

  void build() {
	sort(begin(xs), end(xs));
	xs.erase(unique(begin(xs), end(xs)), end(xs));
  }

  vector< int > get(const vector< T > &vs) const {
	vector< int > ret;
	transform(begin(vs), end(vs), back_inserter(ret), [&](const T &x) {
	  return lower_bound(begin(xs), end(xs), x) - begin(xs);
	});
	return ret;
  }

  int get(const T &x) const {
	return lower_bound(begin(xs), end(xs), x) - begin(xs);
  }

  const T &operator[](int k) const {
	return xs[k];
  }
};

signed main(){
	int N;
	cin >> N;
	vector<int> a(N);
	cin >> a;
	Compress c(a);
	c.build();
	SegmentTree<pair<int, int>>l([](pair<int, int> a, pair<int, int> b) {return pair<int, int>(a.first + b.first, a.second + b.second);}, {0, 0});
	l.build(vector<pair<int,int>>(c.xs.size()));
	auto r = l;
	REP(i, N) {
		int pos = c.get(a[i]);
		auto p = r.query(pos, pos + 1);
		r.set_val(pos, {p.first + a[i], p.second + 1});
	}
	mint ans = 0;
	REP(i, N) {
		int pos = c.get(a[i]);
		auto lval = l.query(pos + 1, c.xs.size());
		auto rval = r.query(0, pos);
		ans += lval.first * rval.second;
		ans += rval.first * lval.second;
		ans += mint(a[i]) * rval.second * lval.second;
		auto lp = l.query(pos, pos + 1);
		l.set_val(pos, {lp.first + a[i], lp.second + 1});
		auto rp = r.query(pos, pos + 1);
		r.set_val(pos, {rp.first - a[i], rp.second - 1});
	}
	out(ans);
}
0