結果

問題 No.1649 Manhattan Square
ユーザー leaf_1415
提出日時 2021-08-13 22:48:53
言語 C++11（廃止可能性あり）
(gcc 13.3.0)
結果
AC  
実行時間 2,752 ms / 3,000 ms
コード長 10,166 bytes
コンパイル時間 1,780 ms
コンパイル使用メモリ 126,196 KB
実行使用メモリ 171,920 KB
最終ジャッジ日時 2024-10-03 21:25:47
合計ジャッジ時間 93,535 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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 * 2
other AC * 43
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ソースコード

diff #
プレゼンテーションモードにする

#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstdlib>
#include <cassert>
#include <vector>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <string>
#include <algorithm>
#include <utility>
#include <complex>
#include <unordered_set>
#include <unordered_map>
#define rep(x, s, t) for(ll x = (s); (x) <= (t); (x)++)
#define per(x, s, t) for(ll x = (s); (x) >= (t); (x)--)
#define reps(x, s) for(ll x = 0; (x) < (ll)(s).size(); (x)++)
#define chmin(x, y) (x) = min((x), (y))
#define chmax(x, y) (x) = max((x), (y))
#define sz(x) ((ll)(x).size())
#define ceil(x, y) (((x)+(y)-1) / (y))
#define all(x) (x).begin(),(x).end()
#define outl(...) dump_func(__VA_ARGS__)
#define outf(x) cout << fixed << setprecision(16) << (x) << endl
#define inf 1e18
const double PI = 3.1415926535897932384626433;
using namespace std;
typedef long long llint;
typedef long long ll;
typedef pair<ll, ll> P;
struct edge{
    ll to, cost;
    edge(){}
    edge(ll a, ll b){ to = a, cost = b;}
};
const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1};
//const ll mod = 1000000007;
const ll mod = 998244353;
struct mint{
    ll x = 0;
    mint(ll y = 0){x = y; if(x < 0 || x >= mod) x = (x%mod+mod)%mod;}
    mint(const mint &ope) {x = ope.x;}
    
    mint operator-(){return mint(-x);}
    mint operator+(const mint &ope){return mint(x) += ope;}
    mint operator-(const mint &ope){return mint(x) -= ope;}
    mint operator*(const mint &ope){return mint(x) *= ope;}
    mint operator/(const mint &ope){return mint(x) /= ope;}
    mint& operator+=(const mint &ope){
        x += ope.x;
        if(x >= mod) x -= mod;
        return *this;
    }
    mint& operator-=(const mint &ope){
        x += mod - ope.x;
        if(x >= mod) x -= mod;
        return *this;
    }
    mint& operator*=(const mint &ope){
        x *= ope.x, x %= mod;
        return *this;
    }
    mint& operator/=(const mint &ope){
        ll n = mod-2; mint mul = ope;
        while(n){
            if(n & 1) *this *= mul;
            mul *= mul;
            n >>= 1;
        }
        return *this;
    }
    mint inverse(){return mint(1) / *this;}
    bool operator ==(const mint &ope){return x == ope.x;}
    bool operator !=(const mint &ope){return x != ope.x;}
    bool operator <(const mint &ope){return x < ope.x;}
};
mint modpow(mint a, ll n){
    if(n == 0) return mint(1);
    if(n % 2) return a * modpow(a, n-1);
    else return modpow(a*a, n/2);
}
istream& operator >>(istream &is, mint &ope){
    ll t; is >> t, ope.x = t;
    return is;
}
ostream& operator <<(ostream &os, mint &ope){return os << ope.x;}
ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;}
vector<mint> fact, fact_inv;
void make_fact(int n){
    fact.resize(n+1), fact_inv.resize(n+1);
    fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i-1] * mint(i);
    fact_inv[n] = fact[n].inverse(); per(i, n-1, 0) fact_inv[i] = fact_inv[i+1] * mint(i+1);
}
mint comb(ll n, ll k){ if(n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n-k];}
mint perm(ll n, ll k){ return comb(n, k) * fact[k]; }
vector<int> prime, pvec;
void make_prime(int n){
    prime.resize(n+1);
    rep(i, 2, n){
        if(prime[i]) continue;
        for(int j = i; j <= n; j+=i) prime[j] = i;
    }
    rep(i, 2, n) if(prime[i] == i) pvec.push_back(i);
}
bool exceed(ll x, ll y, ll m){return x >= m / y + 1;}
void mark(){ cout << "*" << endl; }
void yes(){ cout << "YES" << endl; }
void no(){ cout << "NO" << endl; }
ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;}
ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);}
ll lcm(ll a, ll b){return a/gcd(a, b)*b;}
ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;}
ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;}
string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret;}
ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;}
template<typename T>
void uniq(T &vec){ sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end());}
template<class S, class T> pair<S, T>& operator+=(pair<S,T> &s, const pair<S,T> &t){
    s.first += t.first, s.second += t.second;
    return s;
}
template<class S, class T> pair<S, T>& operator-=(pair<S,T> &s, const pair<S,T> &t){
    s.first -= t.first, s.second -= t.second;
    return s;
}
template<class S, class T> pair<S, T> operator+(const pair<S,T> &s, const pair<S,T> &t){
    return pair<S,T>(s.first+t.first, s.second+t.second);
}
template<class S, class T> pair<S, T> operator-(const pair<S,T> &s, const pair<S,T> &t){
    return pair<S,T>(s.first-t.first, s.second-t.second);
}
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec) {
    for(int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    return os;
}
template<typename T>
ostream& operator << (ostream& os, deque<T>& deq) {
    for(int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " ");
    return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, pair<T, U>& pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, const pair<T, U>& pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, map<T, U>& map_var) {
    for(typename map<T, U>::iterator itr = map_var.begin(); itr != map_var.end(); itr++) {
        os << "(" << itr->first << ", " << itr->second << ")";
        itr++; if(itr != map_var.end()) os << ","; itr--;
    }
    return os;
}
template<typename T>
ostream& operator << (ostream& os, set<T>& set_var) {
    for(typename set<T>::iterator itr = set_var.begin(); itr != set_var.end(); itr++) {
        os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--;
    }
    return os;
}
template<typename T>
ostream& operator << (ostream& os, multiset<T>& set_var) {
    for(typename multiset<T>::iterator itr = set_var.begin(); itr != set_var.end(); itr++) {
        os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--;
    }
    return os;
}
template<typename T>
void outa(T a[], ll s, ll t){for(ll i = s; i <= t; i++){ cout << a[i]; if(i < t) cout << " ";}cout << endl;}
void dump_func(){cout << endl;}
template <class Head, class... Tail>
void dump_func(Head &&head, Tail &&... tail) {
    cout << head;
    if(sizeof...(Tail) > 0) cout << " ";
    dump_func(std::move(tail)...);
}
struct BIT{
    typedef llint T;
    T Ident(){ return 0; }//単位元
    T ope(T a, T b){ return a+b; } //作用素
    
    int size;
    vector<T> bit;
    BIT(){size = 0;}
    BIT(int s){
        size = s;
        bit.resize(size+2);
        init();
    }
    void init(){
        for(int i = 1; i <= size+1; i++) bit[i] = Ident();
    }
    T query(int i){
        i++;
        T ret = 0;
        while(i > 0){
            ret = ope(ret, bit[i]);
            i -= i&(-i);
        }
        return ret;
    }
    T query(int l, int r){
        return query(r) - query(l-1);
    }
    void add(int i, T x){
        i++;
        while(i <= size+1){
            bit[i] = ope(bit[i], x);
            i += i&(-i);
        }
    }
};
struct StaticRectangleSum{
    typedef pair<P, P> Query;
    typedef pair<P, ll> Point;
    
    vector<Point> pvec;
    vector<Query> qvec;
    vector<ll> avec;
    int qid;
    
    StaticRectangleSum(){
        init();
    }
    void init(){
        pvec.clear();
        qvec.clear();
        avec.clear();
        qid = 0;
    }
    void addPoint(ll x, ll y, ll w){
        pvec.push_back(Point(P(x, y), w));
    }
    int addQuery(ll sx, ll sy, ll tx, ll ty)
    {
        qvec.push_back(Query(P(tx, ty), P(qid, 1)));
        if(sx >= 0 && sy >= 0){
            qvec.push_back(Query(P(sx-1, sy-1), P(qid, 1)));
            qvec.push_back(Query(P(tx, sy-1), P(qid, -1)));
            qvec.push_back(Query(P(sx-1, ty), P(qid, -1)));
        }
        return qid++;
    }
    void calc()
    {
        vector<ll> xcomp, ycomp;
        for(auto p : pvec){
            xcomp.push_back(p.first.first);
            ycomp.push_back(p.first.second);
        }
        for(auto q : qvec){
            xcomp.push_back(q.first.first);
            ycomp.push_back(q.first.second);
        }
        sort(xcomp.begin(), xcomp.end());
        xcomp.erase(unique(xcomp.begin(), xcomp.end()), xcomp.end());
        sort(ycomp.begin(), ycomp.end());
        ycomp.erase(unique(ycomp.begin(), ycomp.end()), ycomp.end());
        
        ll w = xcomp.size(), h = ycomp.size();
        
        vector<vector<P>> Pvec(w);
        vector<vector<Query>> Qvec(w);
        for(auto p : pvec){
            ll x = lower_bound(xcomp.begin(), xcomp.end(), p.first.first) - xcomp.begin();
            ll y = lower_bound(ycomp.begin(), ycomp.end(), p.first.second) - ycomp.begin();
            Pvec[x].push_back(P(y, p.second));
        }
        for(auto q : qvec){
            ll x = lower_bound(xcomp.begin(), xcomp.end(), q.first.first) - xcomp.begin();
            ll y = lower_bound(ycomp.begin(), ycomp.end(), q.first.second) - ycomp.begin();
            Qvec[x].push_back(Query(P(x, y), q.second));
        }
        
        BIT bit(h);
        
        avec.resize(qid);
        for(auto &x: avec) x = 0;
        for(int i = 0; i < w; i++){
            for(auto p : Pvec[i]) bit.add(p.first, p.second);
            for(auto q : Qvec[i]) avec[q.second.first] += q.second.second * bit.query(q.first.second);
        }
    }
    llint getAnswer(int qid)
    {
        return avec[qid];
    }
};
ll n;
ll x[200005], y[200005];
ll qid[200005], qid2[200005];
mint calc(ll x[])
{
    mint ret = 0;
    rep(i, 1, n) ret += mint(x[i]*x[i]);
    ret *= mint(n-1);
    
    mint sum = 0;
    rep(i, 1, n){
        ret -= mint(2) * sum * mint(x[i]);
        sum += mint(x[i]);
    }
    return ret;
}
mint solve()
{
    mint ret = 0;
    
    StaticRectangleSum srs;
    rep(i, 1, n){
        srs.addPoint(x[i], y[i], 1);
        qid[i] = srs.addQuery(-inf, -inf, x[i], y[i]);
        qid2[i] = srs.addQuery(x[i], y[i], inf, inf);
    }
    srs.calc();
    rep(i, 1, n) ret += mint(x[i]*y[i]) * mint(srs.getAnswer(qid[i]));
    rep(i, 1, n) ret += mint(x[i]*y[i]) * mint(srs.getAnswer(qid2[i]));
    
    srs.init();
    rep(i, 1, n){
        srs.addPoint(x[i], y[i], x[i]);
        qid[i] = srs.addQuery(-inf, -inf, x[i], y[i]);
        qid2[i] = srs.addQuery(x[i], y[i], inf, inf);
    }
    srs.calc();
    rep(i, 1, n) ret -= mint(y[i]) * mint(srs.getAnswer(qid[i]));
    rep(i, 1, n) ret -= mint(y[i]) * mint(srs.getAnswer(qid2[i]));
    
    return ret;
}
int main(void)
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    
    cin >> n;
    rep(i, 1, n) cin >> x[i] >> y[i];
    
    mint ans = calc(x) + calc(y);
    
    ans += mint(2) * solve();
    rep(i, 1, n) x[i] *= -1, x[i] += 1000000000;
    ans += mint(2) * solve();
    
    outl(ans);
    
    return 0;
}
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