# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1168635 | vibeduck | Cryptography (NOI20_crypto) | C++20 | 346 ms | 30928 KiB |
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define pf push_front
#define mp make_pair
#define fi first
#define se second
#define int long long
#define all(x) (x).begin(), (x).end()
typedef long double ld;
typedef long long ll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<bool> vb;
typedef vector<vector<int>> vvi;
typedef vector<vector<bool>> vvb;
typedef vector<vector<ll>> vvll;
typedef vector<string> vs;
typedef vector<vector<string>> vvs;
typedef vector<char> vc;
typedef vector<vector<char>> vvc;
typedef map<int, int> mii;
typedef unordered_map<int, int> umii;
const int mod = 1e9 + 7;
const int inf = INTMAX_MAX;
const bool tc = false;
const int mxn = 3e5 + 5;
int fac[mxn];
void pcomp() {
fac[0] = 0; fac[1] = 1;
for (int i = 2; i < mxn; i++) {
fac[i] = fac[i - 1] * i;
fac[i] %= mod;
}
}
struct FenwickTree {
vector<int> bit; // binary indexed tree
int n;
FenwickTree(int n) {
this->n = n;
bit.assign(n, 0);
}
FenwickTree(vector<int> const &a) : FenwickTree(a.size()) {
for (size_t i = 0; i < a.size(); i++)
add(i, a[i]);
}
int sum(int r) {
int ret = 0;
for (; r >= 0; r = (r & (r + 1)) - 1)
ret += bit[r];
return ret;
}
int sum(int l, int r) {
if (l > r) return 0;
return sum(r) - sum(l - 1);
}
void add(int idx, int delta) {
for (; idx < n; idx = idx | (idx + 1))
bit[idx] += delta;
}
};
inline void solve() {
int n; cin >> n;
vi a(n); for (int i = 0; i < n; i++) cin >> a[i];
vi b = a;
mii id; sort(all(b)); for (int i = 0; i < n; i++) id[b[i]] = i + 1;
vi p(n); for (int i = 0; i < n; i++) p[i] = id[a[i]];
int ans = 1; FenwickTree s(n); for (int i = 0; i < n; i++) s.add(i, 1);
for (int i = 0; i < n - 1; i++) {
int sm = s.sum(0, p[i]-2);
int r = n - 1 - i;
ans += (sm * fac[r])%mod;
ans %= mod;
s.add(p[i]-1, -1);
}
cout << ans << '\n';
}
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
signed main() {
ios::sync_with_stdio(false);
cout.tie(0);
cin.tie(0);
pcomp();
//setIO();
int t = 1;
if (tc) {
cin >> t;
}
while (t--) {
solve();
}
}
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