Submission #1316301

#TimeUsernameProblemLanguageResultExecution timeMemory
1316301chithanhnguyenCryptography (NOI20_crypto)C++20
100 / 100
99 ms7604 KiB
/*
Author: Nguyen Chi Thanh - High School for the Gifted - VNU.HCM (i2528)
*/
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ull unsigned long long
#define ld long double
#define pii pair<int, int>
#define fi first
#define se second
#define __builtin_popcount __builtin_popcountll
#define all(x) (x).begin(), (x).end()
#define BIT(x, i) (((x) >> (i)) & 1)
#define MASK(x) ((1ll << (x)))

#define debug(a, l, r) for (int _i = (l); _i <= (r); ++_i) cout << (a)[_i] << ' '; cout << '\n';

struct FenwickTree {
    int n; vector<int> fen;

    FenwickTree(int _n) : n(_n), fen(n + 5, 0) {};

    void update(int idx, int v) {
        for (int i = idx; i <= n; i += i & -i)
            fen[i] += v;
    }

    int get(int idx) {
        int sum = 0;
        for (int i = idx; i; i -= i & -i)
            sum += fen[i];
        return sum;
    }
};

const int MAXN = 3e5 + 5;
const int MOD  = 1e9 + 7;
int n, a[MAXN], fact[MAXN];

void init() {
    cin >> n;

    vector<int> vals;
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
        vals.push_back(a[i]);
    }

    sort(all(vals));
    vals.erase(unique(all(vals)), end(vals));

    for (int i = 1; i <= n; ++i)
        a[i] = (int)(lower_bound(all(vals), a[i]) - begin(vals)) + 1;
    
    fact[0] = 1;
    for (int i = 1; i <= n; ++i)
        fact[i] = (fact[i - 1] * i) % MOD;
}

void solve() {
    FenwickTree fen(n + 5);
    for (int i = 1; i <= n; ++i) fen.update(i, 1);

    int res = 0;
    for (int i = 1; i <= n; ++i) {
        int reidx = fen.get(a[i]);
        int contrib = (reidx - 1) * fact[n - i] % MOD;
        res = (res + contrib) % MOD;

        fen.update(a[i], -1);
    }

    cout << (res + 1) % MOD;
}

signed main() {
    #ifdef NCTHANH
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif
    ios_base::sync_with_stdio(0);
    cin.tie(nullptr); cout.tie(nullptr);

    init();
    solve();

    return 0;
}
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