結果

問題 No.1300 Sum of Inversions
ユーザー theory_and_metheory_and_me
提出日時 2020-11-27 22:35:54
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 220 ms / 2,000 ms
コード長 5,907 bytes
コンパイル時間 2,272 ms
コンパイル使用メモリ 211,160 KB
実行使用メモリ 18,156 KB
最終ジャッジ日時 2023-10-09 20:38:29
合計ジャッジ時間 8,877 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge11
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
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 164 ms
15,536 KB
testcase_04 AC 156 ms
15,180 KB
testcase_05 AC 127 ms
11,996 KB
testcase_06 AC 183 ms
16,604 KB
testcase_07 AC 185 ms
16,264 KB
testcase_08 AC 203 ms
17,012 KB
testcase_09 AC 193 ms
17,000 KB
testcase_10 AC 107 ms
10,908 KB
testcase_11 AC 111 ms
10,804 KB
testcase_12 AC 161 ms
15,584 KB
testcase_13 AC 154 ms
15,184 KB
testcase_14 AC 209 ms
17,776 KB
testcase_15 AC 193 ms
16,980 KB
testcase_16 AC 170 ms
15,848 KB
testcase_17 AC 103 ms
10,532 KB
testcase_18 AC 119 ms
11,340 KB
testcase_19 AC 150 ms
14,356 KB
testcase_20 AC 142 ms
14,832 KB
testcase_21 AC 142 ms
14,504 KB
testcase_22 AC 135 ms
11,840 KB
testcase_23 AC 190 ms
16,600 KB
testcase_24 AC 135 ms
11,964 KB
testcase_25 AC 116 ms
11,220 KB
testcase_26 AC 117 ms
11,052 KB
testcase_27 AC 131 ms
11,704 KB
testcase_28 AC 220 ms
17,380 KB
testcase_29 AC 151 ms
14,364 KB
testcase_30 AC 213 ms
16,992 KB
testcase_31 AC 134 ms
12,016 KB
testcase_32 AC 132 ms
11,984 KB
testcase_33 AC 110 ms
18,124 KB
testcase_34 AC 121 ms
18,136 KB
testcase_35 AC 120 ms
18,024 KB
testcase_36 AC 122 ms
18,156 KB
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>
#include <atcoder/segtree>
using namespace std;
using namespace atcoder;

#define REP(i,n) for(ll i=0;i<(ll)n;i++)
#define dump(x)  cerr << "Line " << __LINE__ << ": " <<  #x << " = " << (x) << "\n";
#define spa << " " <<
#define fi first
#define se second
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()

using ld = long double;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;

template<typename T> using V = vector<T>;
template<typename T> using P = pair<T, T>;
template<typename T> vector<T> make_vec(size_t n, T a) { return vector<T>(n, a); }
template<typename... Ts> auto make_vec(size_t n, Ts... ts) { return vector<decltype(make_vec(ts...))>(n, make_vec(ts...)); }
template<class S, class T> ostream& operator << (ostream& os, const pair<S, T> v){os << "(" << v.first << ", " << v.second << ")"; return os;}
template<typename T> ostream& operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<class T> ostream& operator<<(ostream& os, const vector<vector<T>> &v){ for(auto &e : v){os << e << "\n";} return os;}
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;

template <class T> void UNIQUE(vector<T> &x) {sort(ALL(x));x.erase(unique(ALL(x)), x.end());}
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
void fail() { cout << -1 << '\n'; exit(0); }
inline int popcount(const int x) { return __builtin_popcount(x); }
inline int popcount(const ll x) { return __builtin_popcountll(x); }
template<typename T> void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cerr<<v[i][0];for(ll j=1;j<w;j++)cerr spa v[i][j];cerr<<"\n";}};
template<typename T> void debug(vector<T>&v,ll n){if(n!=0)cerr<<v[0];
for(ll i=1;i<n;i++)cerr spa v[i];
cerr<<"\n";};

const ll INF = (1ll<<62);
// const ld EPS   = 1e-10;
// const ld PI    = acos(-1.0);
// const ll mod = (int)1e9 + 7;
const ll mod = 998244353;

template <std::uint_fast64_t Modulus> class modint {
  // long long から modint を作るときは必ず正の数にしてからコンストラクタに入れること！ 
  // そうしないとバグります
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};
using mint = modint<mod>;
using vm = vector<mint>;
using vvm = vector<vm>;

ostream& operator << (ostream& os, const mint v){
os << v.value(); return os;
}

template <class T, class U> constexpr T power(T x, U exp) {
  T ret = static_cast<T>(1);
  while (exp) {
    if (exp % static_cast<U>(2) == static_cast<U>(1))
      ret *= x;
    exp /= static_cast<U>(2);
    x *= x;
  }
  return ::std::move(ret);
}

using S = ll;

S op(S a, S b) {
    return a+b;
}

S e() {
    return 0;
}


int main(){

    ll N;
    cin >> N;
    V<ll> X(N);
    REP(i, N) cin >> X[i];

    auto get_ma = [](V<ll> &A){
        ll N = A.size();
        V<ll> ids(N);
        iota(ALL(ids), 0);
        sort(ALL(ids), [&](ll x, ll y){
            return A[x] > A[y];
        });

        V<ll> init(N, 0);
        segtree<S, op, e> seg(init);

        V<ll> res(N, 0);
        REP(i, N){
            ll j = i;
            while(j < N and A[ids[i]] == A[ids[j]]){
                res[ids[j]] = seg.prod(0, ids[j]);
                j++;
            }
            for(ll k=i;k<j;k++) seg.set(ids[k], 1);
            i = j -1;
        }
        return res;
    }; 

    auto get_sum = [](V<ll> &A){
        ll N = A.size();
        V<ll> ids(N);
        iota(ALL(ids), 0);
        sort(ALL(ids), [&](ll x, ll y){
            return A[x] > A[y];
        });

        V<ll> init(N, 0);
        segtree<S, op, e> seg(init);

        V<ll> res(N, 0);
        REP(i, N){
            ll j = i;
            while(j < N and A[ids[i]] == A[ids[j]]){
                res[ids[j]] = seg.prod(0, ids[j]);
                j++;
            }
            for(ll k=i;k<j;k++) seg.set(ids[k], A[ids[k]]);
            i = j -1;
        }
        return res;
    }; 

    V<ll> A = get_ma(X);
    V<ll> B = get_sum(X);
    REP(i, N) X[i] *= -1;
    reverse(ALL(X));

    V<ll> C = get_ma(X);
    V<ll> D = get_sum(X);
    REP(i, N) D[i] *= -1;
    reverse(ALL(C));
    reverse(ALL(D));

    // dump(A)
    // dump(B)
    // dump(C)
    // dump(D)

    REP(i, N) X[i] *= -1;
    reverse(ALL(X));

    mint res = 0;
    REP(i, N){
        res += mint(A[i]) * C[i] * X[i];
        res += mint(A[i]) * D[i] ;
        res += mint(B[i]) * C[i] ;
    }
    
    cout << res << endl;

    return 0;
}
0