結果

問題 No.1649 Manhattan Square
ユーザー suta28407928suta28407928
提出日時 2021-08-14 12:01:17
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,822 bytes
コンパイル時間 2,972 ms
コンパイル使用メモリ 211,476 KB
実行使用メモリ 18,280 KB
最終ジャッジ日時 2024-10-05 02:37:48
合計ジャッジ時間 17,365 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
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
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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 #

#pragma GCC target("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
//#include <atcoder/all>
using namespace std;
//using namespace atcoder;
#define DEBUG
#ifdef DEBUG
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {
    os << '{';
    for(int i = 0; i < (int)v.size(); i++) {
        if(i) { os << ','; }
        os << v[i];
    }
    os << '}';
    return os;
}
void debugg() { cerr << endl; }
template <class T, class... Args>
void debugg(const T &x, const Args &... args) {
    cerr << " " << x;
    debugg(args...);
}
#define debug(...)                                                             \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef pair<int,int> pii;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(int i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = (1<<30)-1;
const ll linf = 1LL<<61;
const int MAX = 25000000;
int dy[8] = {0,1,0,-1,1,-1,-1,1};
int dx[8] = {-1,0,1,0,1,-1,1,-1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T> inline void print(T &a){
    int sz = a.size();
    for(auto itr = a.begin(); itr != a.end(); itr++){
		cout << *itr;
        sz--;
        if(sz) cout << " ";
	}
    cout << "\n";
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){
	cout << a << " " << b << "\n";
}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
void mark() {cout << "#" << "\n";}
ll pcount(ll x) {return __builtin_popcountll(x);}
//const int mod = 1e9 + 7;
const int mod = 998244353;

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); }

    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

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

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

    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 mint = ModInt<mod>;

template<typename T> struct BIT{
    vector<T> dat;
    ll sz;
    //all 1-indexed
    BIT(ll sz) : sz(sz){
        dat.assign(++sz, 0);
    }

    T sum(ll k){
        T ret = 0;
        for(++k; k > 0; k -= k & -k) ret += dat[k];
        return (ret);
    }

    void add(ll k, T x){
        for(++k; k < dat.size(); k += k & -k) dat[k] += x;
    }
    
    ll get(T k){
        if(k <= 0) return 0; 
        ll ret = 0;
        int n = 1; while(n < sz) n *= 2;
        for(int i=n/2; i>0; i/=2){
            if(ret+i < sz && dat[ret+i] < k){
                k -= dat[ret+i];
                ret += i;
            }
        }
        return ret;
    }
};

template <typename T> struct Compress{
    vector<T> comp;

    Compress(vector<T> v) : comp(v){
        sort(comp.begin(), comp.end());
        comp.erase(unique(comp.begin(), comp.end()), comp.end());
    }

    ll get(T x){
        return lower_bound(comp.begin(), comp.end(), x) - comp.begin();
    }

    T operator[](int id){
        return comp[id];
    }

    ll siz(){
        return comp.size();
    }
};

BIT<mint> X(202020), Y(202020), cnt(202020);

int main(){
    int n; cin >> n;
    vl x(n), y(n);
    rep(i,n) cin >> x[i] >> y[i];
    mint ans = 0;
    Compress<ll> cx(x), cy(y);
    vpl v(n);
    rep(i,n) v[i] = {x[i],y[i]};
    sort(all(v));
    vl tx(n), ty(n);
    rep(i,n){
        tx[i] = cx.get(v[i].first);
        ty[i] = cy.get(v[i].second);
        ans -= Y.sum(ty[i]) * v[i].first;
        ans -= X.sum(ty[i]) * v[i].second;
        ans += cnt.sum(ty[i]) * v[i].first * v[i].second;
        ans -= (cnt.sum(202020) - cnt.sum(ty[i])) * v[i].first * v[i].second;
        X.add(ty[i],v[i].first);
        Y.add(ty[i],v[i].second);
        cnt.add(ty[i],1);
    }
    rep(i,n){
        X.add(ty[i],-v[i].first);
        Y.add(ty[i],-v[i].second);
        cnt.add(ty[i],-1);
    }
    sort(rall(v));
    rep(i,n){
        ans += Y.sum(ty[i]-1) * v[i].first;
        ans += X.sum(ty[i]-1) * v[i].second;
        ans -= cnt.sum(ty[i]) * v[i].first * v[i].second;
        ans += (cnt.sum(202020) - cnt.sum(ty[i])) * v[i].first * v[i].second;
        X.add(ty[i],v[i].first);
        Y.add(ty[i],v[i].second);
        cnt.add(ty[i],1);
    }
    ans *= 2;
    mint sx = 0, sy = 0;
    rep(i,n){
        ans += (mint)x[i]*x[i]*(n-1);
        ans += (mint)y[i]*y[i]*(n-1);
    }
    rep(i,n){
        ans -= sx*x[i]*2 + sy*y[i]*2;
        sx += x[i], sy += y[i];
    }
    cout << ans << endl;
}
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