Submission #1268184

#TimeUsernameProblemLanguageResultExecution timeMemory
1268184aryanCryptography (NOI20_crypto)C++20
14 / 100
1096 ms5080 KiB
#include<bits/stdc++.h>
using namespace std;

using i64 = long long;
const int mod = 1e9 + 7;

int main(){


    int n;
    cin >> n;

    vector<int> fact(n + 1,1);
    vector<int> idx(n);
    for(int i = 1;i <= n;i++){
        fact[i] = (fact[i - 1] * 1LL * i) % mod;
    }


    vector<int> a(n);
    for(int i = 0;i < n;i++){
        cin >> a[i];
    }

    iota(idx.begin(),idx.end(),0);
    sort(idx.begin(),idx.end(),[&](int i,int j){
        return a[i] < a[j];
    });

    for(int i = 0;i < n;i++){
        // cout << idx[i] << '\n';
        a[idx[i]] = i + 1;
    }

    vector<int> le(n);
    for(int i = 0;i < n;i++){
        for(int j = 0;j < i;j++){
            le[i] += (a[i] > a[j]);
        }
    }
    int ans = 0;
    for(int i = 0;i < n - 1;i++){
        int totb = a[i] - 1 - le[i];
        assert(totb >= 0);
        ans += (fact[n - i - 1] * 1LL * totb) % mod;
        ans %= mod;
    }
    cout << ans + 1 << '\n';

    return 0;
}
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