結果

問題 No.1649 Manhattan Square
ユーザー tokusakuraitokusakurai
提出日時 2021-08-13 23:01:07
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 254 ms / 3,000 ms
コード長 6,679 bytes
コンパイル時間 2,766 ms
コンパイル使用メモリ 222,260 KB
実行使用メモリ 15,864 KB
最終ジャッジ日時 2024-04-14 19:58:57
合計ジャッジ時間 14,060 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 5 ms
6,940 KB
testcase_03 AC 5 ms
6,944 KB
testcase_04 AC 5 ms
6,940 KB
testcase_05 AC 5 ms
6,944 KB
testcase_06 AC 5 ms
6,940 KB
testcase_07 AC 244 ms
15,600 KB
testcase_08 AC 239 ms
15,852 KB
testcase_09 AC 241 ms
15,724 KB
testcase_10 AC 244 ms
15,848 KB
testcase_11 AC 247 ms
15,732 KB
testcase_12 AC 216 ms
11,256 KB
testcase_13 AC 234 ms
13,176 KB
testcase_14 AC 224 ms
12,156 KB
testcase_15 AC 233 ms
12,536 KB
testcase_16 AC 209 ms
10,744 KB
testcase_17 AC 209 ms
10,996 KB
testcase_18 AC 204 ms
10,492 KB
testcase_19 AC 227 ms
12,404 KB
testcase_20 AC 217 ms
11,380 KB
testcase_21 AC 233 ms
13,304 KB
testcase_22 AC 246 ms
15,736 KB
testcase_23 AC 250 ms
15,736 KB
testcase_24 AC 242 ms
15,864 KB
testcase_25 AC 247 ms
15,736 KB
testcase_26 AC 245 ms
15,864 KB
testcase_27 AC 244 ms
15,612 KB
testcase_28 AC 241 ms
15,740 KB
testcase_29 AC 247 ms
15,736 KB
testcase_30 AC 251 ms
15,740 KB
testcase_31 AC 247 ms
15,736 KB
testcase_32 AC 243 ms
15,864 KB
testcase_33 AC 245 ms
15,612 KB
testcase_34 AC 254 ms
15,612 KB
testcase_35 AC 245 ms
15,860 KB
testcase_36 AC 242 ms
15,736 KB
testcase_37 AC 240 ms
15,736 KB
testcase_38 AC 248 ms
15,740 KB
testcase_39 AC 246 ms
15,612 KB
testcase_40 AC 245 ms
15,736 KB
testcase_41 AC 247 ms
15,736 KB
testcase_42 AC 169 ms
15,736 KB
testcase_43 AC 2 ms
6,944 KB
testcase_44 AC 2 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 # 

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < n; i++)
#define rep2(i, x, n) for(int i = x; i <= n; i++)
#define rep3(i, x, n) for(int i = x; i >= n; i--)
#define each(e, v) for(auto &e: v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
//const int MOD = 1000000007;
const int MOD = 998244353;
const int inf = (1<<30)-1;
const ll INF = (1LL<<60)-1;
template<typename T> bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;};
template<typename T> bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;};

struct io_setup{
    io_setup(){
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
    }
} io_setup;

template<int mod>
struct Mod_Int{
    int x;

    Mod_Int() : x(0) {}

    Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    Mod_Int &operator += (const Mod_Int &p){
        if((x += p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int &operator -= (const Mod_Int &p){
        if((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int &operator *= (const Mod_Int &p){
        x = (int) (1LL * x * p.x % mod);
        return *this;
    }

    Mod_Int &operator /= (const Mod_Int &p){
        *this *= p.inverse();
        return *this;
    }

    Mod_Int &operator ++ () {return *this += Mod_Int(1);}

    Mod_Int operator ++ (int){
        Mod_Int tmp = *this;
        ++*this;
        return tmp;
    }

    Mod_Int &operator -- () {return *this -= Mod_Int(1);}

    Mod_Int operator -- (int){
        Mod_Int tmp = *this;
        --*this;
        return tmp;
    }

    Mod_Int operator - () const {return Mod_Int(-x);}

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

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

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

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

    bool operator == (const Mod_Int &p) const {return x == p.x;}

    bool operator != (const Mod_Int &p) const {return x != p.x;}

    Mod_Int inverse() const{
        assert(*this != Mod_Int(0));
        return pow(mod-2);
    }

    Mod_Int pow(long long k) const{
        Mod_Int now = *this, ret = 1;
        for(; k > 0; k >>= 1, now *= now){
            if(k&1) ret *= now;
        }
        return ret;
    }

    friend ostream &operator << (ostream &os, const Mod_Int &p){
        return os << p.x;
    }

    friend istream &operator >> (istream &is, Mod_Int &p){
        long long a;
        is >> a;
        p = Mod_Int<mod>(a);
        return is;
    }
};

using mint = Mod_Int<MOD>;

template<typename T>
struct Binary_Indexed_Tree{
    vector<T> bit;
    const int n;
    
    Binary_Indexed_Tree(const vector<T> &v) : n((int)v.size()){
        bit.resize(n+1);
        copy(begin(v), end(v), begin(bit)+1);
        for(int a = 2; a <= n; a <<= 1){
            for(int b = a; b <= n; b += a){
                bit[b] += bit[b-a/2];
            }
        }
    }

    Binary_Indexed_Tree(int n, const T &x) : n(n){
        bit.resize(n+1);
        vector<T> v(n, x);
        copy(begin(v), end(v), begin(bit)+1);
        for(int a = 2; a <= n; a <<= 1){
            for(int b = a; b <= n; b += a){
                bit[b] += bit[b-a/2];
            }
        }
    }
    
    void add(int i, const T &x){
        for(i++; i <= n; i += (i & -i)) bit[i] += x;
    }

    void change(int i, const T&x){
        add(i, x-query(i, i+1));
    }
    
    T sum(int i) const{
        T ret = 0;
        for(; i > 0; i -= (i & -i)) ret += bit[i];
        return ret;
    }
    
    T query(int l, int r) const{
        return sum(r) - sum(l);
    }

    T operator [] (int i) const {return query(i, i+1);}

    int lower_bound(T x) const{
        int ret = 0;
        for(int k = 31-__builtin_clz(n); k >= 0; k--){
            if(ret+(1<<k) <= n && bit[ret+(1<<k)] < x) x -= bit[ret += (1<<k)]; 
        }
        return ret;
    }

    int upper_bound(T x) const{
        int ret = 0;
        for(int k = 31-__builtin_clz(n); k >= 0; k--){
            if(ret+(1<<k) <= n && bit[ret+(1<<k)] <= x) x -= bit[ret += (1<<k)]; 
        }
        return ret;
    }
};

template<typename T>
void print(const vector<T> &v, T x = 0){
    int n = v.size();
    for(int i = 0; i < n; i++) cout << v[i]+x << (i == n-1? '\n' : ' ');
}

template<typename T>
void printn(const vector<T> &v, T x = 0){
    int n = v.size();
    for(int i = 0; i < n; i++) cout << v[i]+x << '\n';
}

template<typename T>
int lb(const vector<T> &v, T x){
    return lower_bound(begin(v), end(v), x)-begin(v);
}

template<typename T>
int ub(const vector<T> &v, T x){
    return upper_bound(begin(v), end(v), x)-begin(v);
}

template<typename T>
void unique(vector<T> &v){
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template<typename T>
vector<int> iota(const vector<T> &v, bool greater = false){
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j){
        return greater? v[i] > v[j] : v[i] < v[j];
    });
    return ret;
}

int main(){
    int N; cin >> N;

    vector<pll> p(N);
    rep(i, N) cin >> p[i].first >> p[i].second;
    sort(all(p));

    mint x1 = 0, x2 = 0, y1 = 0, y2 = 0;
    vector<ll> xs, ys;

    rep(i, N){
        auto [x, y] = p[i];
        x1 += x, x2 += x*x, y1 += y, y2 += y*y;
        xs.eb(x), ys.eb(y);
    }

    //cout << x1 << ' ' << x2 << ' ' << y1 << ' ' << y2 << '\n';

    mint ans = x2*N-x1*x1+y2*N-y1*y1;
    //cout << ans << '\n';

    unique(xs), unique(ys);
    int n = sz(ys);
    //each(e, ys) cout << e << ' '; cout << '\n';

    vector<mint> s1(n, 0), s2(n, 0), s3(n, 0), s4(n, 0);

    rep(i, N){
        auto [x, y] = p[i];
        int j = lb(ys, y);
        s1[j] += x, s2[j] += y, s3[j] += x*y, s4[j]++;
    }

    Binary_Indexed_Tree<mint> b1(s1), b2(s2), b3(s3), b4(s4);

    rep(i, N){
        auto [x, y] = p[i];
        int j = lb(ys, y);
        ans -= (b1.query(j, n)*y + b2.query(j, n)*x)*2;
        ans += (b3.query(j, n) + b4.query(j, n)*mint(x*y))*2;

        ans += (b1.query(0, j)*y + b2.query(0, j)*x)*2;
        ans -= (b3.query(0, j) + b4.query(0, j)*mint(x*y))*2;

        b1.add(j, -x), b2.add(j, -y), b3.add(j, -mint(x*y)), b4.add(j, -1);
    }

    cout << ans << '\n';
}
0