結果

問題 No.1300 Sum of Inversions
ユーザー 👑 tute7627
提出日時 2020-11-27 21:38:23
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 550 ms / 2,000 ms
コード長 6,315 bytes
コンパイル時間 2,840 ms
コンパイル使用メモリ 214,368 KB
最終ジャッジ日時 2025-01-16 06:45:39
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 34
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 #
プレゼンテーションモードにする

//#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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