結果
| 問題 | No.1300 Sum of Inversions |
| ユーザー |
 kjnh10
|
| 提出日時 | 2020-11-27 22:19:10 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 1,003 ms / 2,000 ms |
| コード長 | 9,575 bytes |
| コンパイル時間 | 2,773 ms |
| コンパイル使用メモリ | 215,648 KB |
| 最終ジャッジ日時 | 2025-01-16 07:41:50 |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 34 |
ソースコード
#line 2 "header.hpp"
//%snippet.set('header')%
//%snippet.fold()%
#ifndef HEADER_H
#define HEADER_H
// template version 2.0
using namespace std;
#include <bits/stdc++.h>
// varibable settings
template <class T> constexpr T inf = numeric_limits<T>::max() / 2.1;
#define _overload3(_1, _2, _3, name, ...) name
#define _rep(i, n) repi(i, 0, n)
#define repi(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i)
#define rep(...) _overload3(__VA_ARGS__, repi, _rep, )(__VA_ARGS__)
#define _rrep(i, n) rrepi(i, 0, n)
#define rrepi(i, a, b) for (ll i = (ll)((b)-1); i >= (ll)(a); --i)
#define r_rep(...) _overload3(__VA_ARGS__, rrepi, _rrep, )(__VA_ARGS__)
#define each(i, a) for (auto &&i : a)
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int)(x).size())
#define pb(a) push_back(a)
#define mp(a, b) make_pair(a, b)
#define mt(...) make_tuple(__VA_ARGS__)
#define ub upper_bound
#define lb lower_bound
#define lpos(A, x) (lower_bound(all(A), x) - A.begin())
#define upos(A, x) (upper_bound(all(A), x) - A.begin())
template <class T, class U> inline void chmax(T &a, const U &b) { if ((a) < (b)) (a) = (b); }
template <class T, class U> inline void chmin(T &a, const U &b) { if ((a) > (b)) (a) = (b); }
template <typename X, typename T> auto make_table(X x, T a) { return vector<T>(x, a); }
template <typename X, typename Y, typename Z, typename... Zs> auto make_table(X x, Y y, Z z, Zs... zs) { auto cont = make_table(y, z, zs...); return vector<decltype(cont)>(x, cont); }
template <class T> T cdiv(T a, T b){ assert(a >= 0 && b > 0); return (a+b-1)/b; }
#define is_in(x, a, b) ((a) <= (x) && (x) < (b))
#define uni(x) sort(all(x)); x.erase(unique(all(x)), x.end())
#define slice(l, r) substr(l, r - l)
typedef long long ll;
typedef long double ld;
using vl = vector<ll>;
using vvl = vector<vl>;
using pll = pair<ll, ll>;
template <typename T>
using PQ = priority_queue<T, vector<T>, greater<T>>;
void check_input() { assert(cin.eof() == 0); int tmp; cin >> tmp; assert(cin.eof() == 1); }
#if defined(PCM) || defined(LOCAL)
#else
#define dump(...) ;
#define dump_1d(...) ;
#define dump_2d(...) ;
#define cerrendl ;
#endif
#endif /* HEADER_H */
//%snippet.end()%
#line 2 "solve.cpp"
template<class T=ll> using vec = vector<T>;
struct Fast { Fast() { std::cin.tie(0); ios::sync_with_stdio(false); } } fast;
const int mod = 998244353;
struct modint { //{{{
ll x;
modint(ll x = 0) : x((x % mod + mod) % mod) {}
// ?= operator
modint& operator+=(const modint a) {
(x += a.x) %= mod;
return *this;
}
modint& operator-=(const modint a) {
(x += mod - a.x) %= mod;
return *this;
}
modint& operator*=(const modint a) {
(x *= a.x) %= mod;
return *this;
}
modint& operator/=(const modint& rhs) {
if (rhs.x == 0) throw runtime_error("modint zero division");
return *this *= rhs.inv();
}
modint operator+(const modint a) const {
modint res(*this);
return res += a;
}
modint operator-(const modint a) const {
modint res(*this);
return res -= a;
}
modint operator*(const modint a) const {
modint res(*this);
return res *= a;
}
modint operator/(const modint a) const {
modint res(*this);
return res /= a;
}
modint pow(ll n) const {
modint res(1), x(*this);
if (n < 0) {
n = -n;
x = (*this).inv();
}
while (n) {
if (n & 1) res *= x;
x *= x;
n >>= 1;
}
return res;
}
modint inv() const {
if (x == 0) throw runtime_error("inv does not exist");
return pow(mod - 2);
}
// modint inv()const{
// int x,y;
// int g=extgcd(v,mod,x,y);
// assert(g==1);
// if(x<0)x+=mod;
// return modint(x);
// }
bool operator<(const modint& r) const { return x < r.x; }
bool operator==(const modint& r) const { return x == r.x; }
};
istream& operator>>(istream& is, const modint& a) { return is >> a.x; }
ostream& operator<<(ostream& os, const modint& a) { return os << a.x; }
string to_string_mod(const modint& x){ return to_string(x.x); }
//}}}
using mint = modint;
struct zipper { /*{{{*/
// unordered_map<long long, int> zip_map; // [2:0, 3:1, 5:2, 10:3] debugしづらい
map<long long, int> zip_map; // [2:0, 3:1, 5:2, 10:3]
vector<long long> _unzipper; // [2, 3, 5, 10]
bool _is_build = false;
int n = 0;
zipper(){};
zipper(long long inf_value) { /*{{{*/
_unzipper.push_back(-inf_value);
_unzipper.push_back(inf_value);
} /*}}}*/
template <class T>
zipper(const vector<T>& a, long long inf_value = inf<ll>) { /*{{{*/
_unzipper = vector<long long>(sz(a));
rep(i, sz(a)) { _unzipper[i] = a[i]; }
_unzipper.push_back(-inf_value);
_unzipper.push_back(inf_value);
build();
} /*}}}*/
void add_value(long long lv) { /*{{{*/
_unzipper.push_back(lv);
_is_build = false;
} /*}}}*/
void build() { /*{{{*/
uni(_unzipper);
zip_map.clear();
n = sz(_unzipper);
rep(i, n) { zip_map[_unzipper[i]] = i; }
_is_build = true;
} /*}}}*/
vector<int> zip(vector<long long> lvs) { /*{{{*/
if (!_is_build) assert(false);
int n = sz(lvs);
vector<int> res(n);
rep(i, n) res[i] = zip_map[lvs[i]];
return res;
} /*}}}*/
int zip(long long lv) { /*{{{*/
if (!_is_build) assert(false);
return zip_map[lv];
} /*}}}*/
int operator()(long long lv) { return zip(lv); }
long long unzip(int sv) { /*{{{*/
if (!_is_build) assert(false);
return _unzipper[sv];
} /*}}}*/
int operator[](int sv) { return unzip(sv); }
int size() {return n;}
#if defined(PCM) || defined(LOCAL) /*{{{*/
friend ostream& operator<<(ostream& os, const zipper& zp) {
os << endl;
os << "_is_build: " << zp._is_build << endl;
os << "zip_map: " << zp.zip_map << endl;
os << "_unzipper: " << zp._unzipper << endl;
return os;
}
#endif /*}}}*/
}; /*}}}*/
// How to use {{{
// construct
// auto z = zipper(x, inf<ll>);
// z.add_value(3);
// z.add_value(5);
// z.add_value(10);
// z.add_value(100000000);
// z.build();
// other method
// z(x[i]); -> zipped x[i]
// z.unzip(z(x[i])) -> x[i];
// z.zip(ll x) -> zipped x
// z.zip(vl v) -> zipped v
// }}}
template <typename T = ll>
struct bit { //{{{
int n;
vector<T> dat;
vector<T> raw;
bit(int _n = 0) { //{{{
n = _n;
dat = vector<T>(n);
raw = vector<T>(n);
} //}}}
bit(vector<T> a) { // {{{
n = (int)a.size();
dat = vector<T>(n);
raw = vector<T>(n);
for (int i = 0; i < n; i++) {
add(i, a[i]);
raw[i] = a[i];
}
} //}}}
T _rsum(int i) { //{{{ [0, i]
T s = 0;
while (i >= 0) {
s += dat[i];
i = (i & (i + 1)) - 1;
}
return s;
} //}}}
T query(int l, int r) { //{{{ [l, r)
if (l > r - 1) return 0;
return _rsum(r - 1) - _rsum(l - 1);
} //}}}
void add(int i, T x) { //{{{
raw[i] += x;
while (i < n) {
dat[i] += x;
i |= i + 1;
}
} //}}}
int lower_bound(T x) { // a[0]+...+a[ret] >= x{{{
int ret = -1;
int k = 1;
while (2 * k <= n) k <<= 1;
for (; k > 0; k >>= 1) {
if (ret + k < n && dat[ret + k] < x) {
x -= dat[ret + k];
ret += k;
}
}
return ret + 1;
} //}}}
#if defined(PCM) || defined(LOCAL)
friend ostream& operator<<(ostream& os, bit<T>& b) { //{{{
os << endl << " raw:" << b.raw << endl;
vector<T> acum;
rep(i, b.n) { acum.pb(b.sum(i)); }
os << " acm:" << acum << endl;
return os;
} //}}}
#endif
}; //}}}
int solve() {
ll n;cin>>n;
vector<ll> a(n);
auto z = zipper();
rep(i, n){
cin>>a[i];
z.add_value(a[i]);
}
z.build();
dump(a);
int V = 200003;
bit<mint> bl_sum(V);
bit<mint> bl_cnt(V);
bit<mint> br_sum(V);
bit<mint> br_cnt(V);
bl_cnt.add(z.zip(a[0]), 1);
bl_sum.add(z.zip(a[0]), a[0]);
r_rep(i, 2, n){
br_cnt.add(z.zip(a[i]), 1);
br_sum.add(z.zip(a[i]), a[i]);
}
mint ans = 0;
rep(i, 1, n-1){
cerrendl;
mint l_cnt = bl_cnt.query(z.zip(a[i])+1, V);
mint r_cnt = br_cnt.query(0, z.zip(a[i]));
mint l_sum = bl_sum.query(z.zip(a[i])+1, V);
mint r_sum = br_sum.query(0, z.zip(a[i]));
dump(i, l_cnt, r_cnt, l_sum, r_sum);
ans += l_cnt * r_cnt * a[i];
ans += l_sum * r_cnt;
ans += l_cnt * r_sum;
dump(ans);
bl_cnt.add(z.zip(a[i]), 1);
bl_sum.add(z.zip(a[i]), a[i]);
br_cnt.add(z.zip(a[i+1]), -1);
br_sum.add(z.zip(a[i+1]), -a[i+1]);
}
cout << ans << endl;
return 0;
}
int main(){/*{{{*/
solve();
#if defined(PCM) || defined(LOCAL)
check_input();
#endif
return 0;
}/*}}}*/