結果

問題 No.1649 Manhattan Square
ユーザー suta28407928suta28407928
提出日時 2021-08-14 12:06:47
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 338 ms / 3,000 ms
コード長 6,824 bytes
コンパイル時間 3,285 ms
コンパイル使用メモリ 208,964 KB
実行使用メモリ 18,276 KB
最終ジャッジ日時 2024-04-27 03:55:10
合計ジャッジ時間 16,252 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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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 3 ms
6,816 KB
testcase_01 AC 3 ms
6,944 KB
testcase_02 AC 7 ms
6,940 KB
testcase_03 AC 8 ms
6,944 KB
testcase_04 AC 8 ms
6,944 KB
testcase_05 AC 7 ms
6,940 KB
testcase_06 AC 7 ms
6,940 KB
testcase_07 AC 332 ms
18,008 KB
testcase_08 AC 325 ms
18,000 KB
testcase_09 AC 320 ms
18,008 KB
testcase_10 AC 323 ms
18,200 KB
testcase_11 AC 321 ms
18,004 KB
testcase_12 AC 302 ms
18,276 KB
testcase_13 AC 321 ms
18,148 KB
testcase_14 AC 313 ms
18,112 KB
testcase_15 AC 315 ms
18,148 KB
testcase_16 AC 306 ms
18,100 KB
testcase_17 AC 303 ms
18,136 KB
testcase_18 AC 299 ms
18,108 KB
testcase_19 AC 319 ms
18,116 KB
testcase_20 AC 311 ms
18,068 KB
testcase_21 AC 321 ms
18,048 KB
testcase_22 AC 327 ms
18,268 KB
testcase_23 AC 333 ms
18,148 KB
testcase_24 AC 328 ms
18,272 KB
testcase_25 AC 320 ms
18,112 KB
testcase_26 AC 322 ms
18,184 KB
testcase_27 AC 324 ms
18,140 KB
testcase_28 AC 327 ms
18,144 KB
testcase_29 AC 323 ms
18,108 KB
testcase_30 AC 326 ms
18,148 KB
testcase_31 AC 328 ms
18,168 KB
testcase_32 AC 329 ms
18,148 KB
testcase_33 AC 327 ms
18,148 KB
testcase_34 AC 330 ms
18,100 KB
testcase_35 AC 322 ms
18,040 KB
testcase_36 AC 338 ms
18,136 KB
testcase_37 AC 325 ms
18,152 KB
testcase_38 AC 325 ms
18,104 KB
testcase_39 AC 324 ms
18,156 KB
testcase_40 AC 326 ms
18,148 KB
testcase_41 AC 329 ms
18,052 KB
testcase_42 AC 268 ms
18,112 KB
testcase_43 AC 3 ms
6,944 KB
testcase_44 AC 3 ms
6,944 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 # 

#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);
    }
    for(int i=n-1; i>=0; i--){
        ans += Y.sum(ty[i]-1) * v[i].first;
        ans += X.sum(ty[i]-1) * v[i].second;
        ans -= cnt.sum(ty[i]-1) * v[i].first * v[i].second;
        ans += (cnt.sum(202020) - cnt.sum(ty[i]-1)) * 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;
}
0