結果

問題 No.1300 Sum of Inversions
ユーザー 👑 tute7627tute7627
提出日時 2020-11-27 21:38:23
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 413 ms / 2,000 ms
コード長 6,315 bytes
コンパイル時間 2,600 ms
コンパイル使用メモリ 223,440 KB
実行使用メモリ 22,144 KB
最終ジャッジ日時 2024-07-26 11:58:46
合計ジャッジ時間 12,911 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 298 ms
17,664 KB
testcase_04 AC 294 ms
17,280 KB
testcase_05 AC 223 ms
14,976 KB
testcase_06 AC 336 ms
19,456 KB
testcase_07 AC 337 ms
18,688 KB
testcase_08 AC 369 ms
20,352 KB
testcase_09 AC 370 ms
20,224 KB
testcase_10 AC 188 ms
12,928 KB
testcase_11 AC 181 ms
12,928 KB
testcase_12 AC 294 ms
17,408 KB
testcase_13 AC 288 ms
17,024 KB
testcase_14 AC 413 ms
21,760 KB
testcase_15 AC 371 ms
20,096 KB
testcase_16 AC 316 ms
18,048 KB
testcase_17 AC 176 ms
12,672 KB
testcase_18 AC 215 ms
13,952 KB
testcase_19 AC 250 ms
15,744 KB
testcase_20 AC 260 ms
16,128 KB
testcase_21 AC 254 ms
16,000 KB
testcase_22 AC 218 ms
14,848 KB
testcase_23 AC 344 ms
19,456 KB
testcase_24 AC 237 ms
15,232 KB
testcase_25 AC 196 ms
13,696 KB
testcase_26 AC 194 ms
13,440 KB
testcase_27 AC 212 ms
14,592 KB
testcase_28 AC 375 ms
20,736 KB
testcase_29 AC 250 ms
16,000 KB
testcase_30 AC 368 ms
20,224 KB
testcase_31 AC 226 ms
14,976 KB
testcase_32 AC 243 ms
15,360 KB
testcase_33 AC 20 ms
6,944 KB
testcase_34 AC 31 ms
6,944 KB
testcase_35 AC 210 ms
22,144 KB
testcase_36 AC 213 ms
22,016 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 # 

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<ll>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<ll>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) += rhs;
  }
  friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) -= rhs;
  }
  friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) *= rhs;
  }
  friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) /= rhs;
  }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};
using modint = ModInt< MOD9 >;modint pow(ll n, ll x){return modint(n).pow(x);}modint pow(modint n, ll x){return n.pow(x);}
//using modint=ld;template<typename T>

template<typename T>
map<T,ll> compress(vector<T> &v){
  sort(ALL(v));
  v.erase(unique(ALL(v)),v.end());
  map<T, ll> ret;
  for(ll i=0;i<(ll)v.size();i++)
    ret[v[i]]=i;
  return ret;
}
template<typename T>
struct BIT{
  ll n;
  ll k=1;
  vector<T>data;
  BIT() = default;
  BIT(ll size):n(size){
    data.assign(n,0);
    while(k*2<=n)k*=2;
  }
  void add(ll a,T w){
    for(ll i=a+1;i<=n;i+=i&-i)data[i-1]+=w;
  }
  T sum(ll a){
	if(a<0)return 0;
    T ret = 0;
    for(ll i=a+1;i>0;i-=i&-i)ret+=data[i-1];
    return ret;
  }
  T sum(ll a,ll b){return a>b?0:sum(b)-sum(a-1);}
  T operator[](ll pos){
    return sum(pos,pos);
  }
  ll lower_bound(ll x){
    ll ret=0;    
    for(ll i=k;i>0;i/=2){
      if(ret+i<=n&&data[ret+i-1]<x){
        x-=data[ret+i-1];
        ret+=i;
      }
    }
    return ret;
  }
  void print(){
    for(ll i=0;i<n;i++){
      if(i!=0)cout<<" ";
      cout<<(*this)[i];
    }
    cout<<endl;
  }
};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n;cin>>n;
  vector<ll>a(n);
  rep(i,0,n)cin>>a[i];
  auto va=a;
  auto mp=compress(va);
  ll sz=mp.size();
  BIT<modint>l(sz),r(sz),ln(sz),rn(sz);
  modint ret=0;
  rep(i,0,n)r.add(mp[a[i]],a[i]),rn.add(mp[a[i]],1);
  rep(i,0,n){
    ll idx=mp[a[i]];
    r.add(idx,-a[i]);
    rn.add(idx,-1);
    modint lnum=ln.sum(idx+1,sz-1);
    modint rnum=rn.sum(idx-1);
    //cout<<ret spa lnum spa rnum<<endl;
    ret+=a[i]*lnum*rnum;
    ret+=r.sum(idx-1)*lnum;
    ret+=l.sum(idx+1,sz-1)*rnum;
    l.add(idx,a[i]);
    ln.add(idx,1);
    //l.print();
    //r.print();
  }
  cout<<ret<<endl;
  return 0;
}
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