結果

問題 No.1919 Many Monster Battles
ユーザー tokusakuraitokusakurai
提出日時 2022-04-29 23:29:54
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 436 ms / 2,000 ms
コード長 7,850 bytes
コンパイル時間 2,836 ms
コンパイル使用メモリ 221,932 KB
実行使用メモリ 18,064 KB
最終ジャッジ日時 2023-09-11 15:06:41
合計ジャッジ時間 10,973 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
このコードへのチャレンジ
（要ログイン）

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
4,380 KB
testcase_01 AC 2 ms
4,500 KB
testcase_02 AC 2 ms
4,384 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 3 ms
4,380 KB
testcase_05 AC 3 ms
4,376 KB
testcase_06 AC 2 ms
4,384 KB
testcase_07 AC 3 ms
4,380 KB
testcase_08 AC 3 ms
4,376 KB
testcase_09 AC 3 ms
4,380 KB
testcase_10 AC 3 ms
4,380 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 394 ms
17,932 KB
testcase_14 AC 394 ms
17,780 KB
testcase_15 AC 394 ms
18,056 KB
testcase_16 AC 410 ms
17,964 KB
testcase_17 AC 436 ms
17,836 KB
testcase_18 AC 373 ms
15,600 KB
testcase_19 AC 375 ms
15,716 KB
testcase_20 AC 371 ms
15,736 KB
testcase_21 AC 368 ms
15,736 KB
testcase_22 AC 374 ms
15,740 KB
testcase_23 AC 304 ms
17,848 KB
testcase_24 AC 290 ms
18,064 KB
testcase_25 AC 291 ms
17,924 KB
testcase_26 AC 290 ms
17,792 KB
testcase_27 AC 102 ms
11,700 KB
testcase_28 AC 103 ms
11,696 KB
testcase_29 AC 105 ms
11,872 KB
testcase_30 AC 110 ms
11,696 KB
testcase_31 AC 293 ms
17,848 KB
testcase_32 AC 287 ms
17,900 KB
testcase_33 AC 171 ms
11,804 KB
testcase_34 AC 178 ms
11,944 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>;

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;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

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' : ' ');
    if (v.empty()) cout << '\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 rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(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;
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

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

const int inf = (1 << 30) - 1;
const ll INF = (1LL << 60) - 1;
const int MOD = 1000000007;
// const int MOD = 998244353;

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) {}

    static int get_mod() { return 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;
    }
};

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

    vector<ll> a(N), b(N);
    rep(i, N) cin >> a[i];
    rep(i, N) cin >> b[i];

    vector<ll> x(N), y(N);
    rep(i, N) x[i] = a[i] + b[i], y[i] = b[i] - a[i];
    auto ys = y;
    rearrange(ys);
    int K = sz(ys);

    Binary_Indexed_Tree<mint> l1(K, 0), l2(K, 0), r1(K, 0), r2(K, 0);
    Binary_Indexed_Tree<mint> cl1(K, 0), cl2(K, 0), cr1(K, 0), cr2(K, 0);
    rep(i, N) {
        int t = lb(ys, y[i]);
        r1.add(t, a[i]), cr1.add(t, 1);
        r2.add(t, b[i]), cr2.add(t, 1);
    }

    mint ans1 = 0, ans2 = 0;
    auto v = id_sort(x);
    int pl = 0, pr = 0;

    rep(i, N) {
        int e = v[i];
        while (pr < N && x[v[pr]] == x[e]) {
            int u = v[pr];
            int t = lb(ys, y[u]);
            r1.add(t, -a[u]), cr1.add(t, -1);
            r2.add(t, -b[u]), cr2.add(t, -1);
            pr++;
        }
        while (pl < N && x[v[pl]] < x[e]) {
            int u = v[pl];
            int t = lb(ys, y[u]);
            l1.add(t, a[u]), cl1.add(t, 1);
            l2.add(t, b[u]), cl2.add(t, 1);
            pl++;
        }

        int t = lb(ys, y[e]);

        {
            ans1 += r1.query(0, t);
            ans1 -= cr1.query(0, t) * a[e];
        }
        {
            ans2 += r2.query(t + 1, K);
            ans2 -= cr2.query(t + 1, K) * b[e];
        }
        {
            ans1 -= l1.query(t + 1, K);
            ans1 += cl1.query(t + 1, K) * a[e];
        }
        {
            ans2 -= l2.query(0, t);
            ans2 += cl2.query(0, t) * b[e];
        }
    }

    cout << ans1 << ' ' << ans2 << '\n';
}
0