제출 #1323492

#제출 시각아이디문제언어결과실행 시간메모리
1323492kawhietCryptography (NOI20_crypto)C++20
100 / 100
204 ms16864 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long

constexpr int mod = 1e9 + 7;

struct SegmentTree {
    int n;
    vector<int> t;

    SegmentTree(int _n) {
        n = _n;
        t.resize(4 * n);
    }

    int merge(int x, int y) {
        return x + y;
    }

    void update(int id, int tl, int tr, int i, int v) {
        if (tl == tr) {
            t[id] = v;
            return;
        }
        int x = (id << 1) + 1, y = x + 1, tm = (tl + tr) >> 1;
        if (i <= tm) {
            update(x, tl, tm, i, v);
        } else {
            update(y, tm + 1, tr, i, v);
        }
        t[id] = merge(t[x], t[y]);
    }

    int get(int id, int tl, int tr, int l, int r) {
        if (r < tl || tr < l) return 0LL;
        if (l <= tl && tr <= r) return t[id];
        int x = (id << 1) + 1, y = x + 1, tm = (tl + tr) >> 1;
        return merge(get(x, tl, tm, l, r), get(y, tm + 1, tr, l, r));
    }

    void update(int i, int v) { update(0, 0, n - 1, i, v); }
    int get(int l, int r) { return get(0, 0, n - 1, l, r); }
};

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    auto b = a;
    ranges::sort(b);
    for (auto &x : a) {
        x = ranges::lower_bound(b, x) - b.begin() + 1;
    }
    SegmentTree t(n + 1);
    for (int i = 1; i <= n; i++) {
        t.update(i, 1);
    }
    vector<int> f(n + 1);
    f[0] = 1;
    for (int i = 1; i <= n; i++) {
        f[i] = f[i - 1] * i % mod;
    }
    int ans = 1;
    for (int i = 0; i < n; i++) {
        int cnt = t.get(1, a[i] - 1);
        ans = (ans + cnt * f[n - i - 1]) % mod;
        t.update(a[i], 0);
    }
    cout << ans << '\n';
    return 0;
}
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