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4517. [SDOI2016] 排列计数

https://hydro.ac/d/bzoj/record/6322e6e932ae6c3198cc929b
This commit is contained in:
Baoshuo Ren 2022-09-15 16:49:12 +08:00
parent fa7add2782
commit 592ff4f485
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
41 changed files with 169 additions and 0 deletions

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#include <iostream>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e6 + 5;
const int mod = 1e9 + 7;
int t, n, m, fac[N], inv[N], fac_inv[N], d[N];
inline int C(int n, int m) {
return static_cast<long long>(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod;
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
fac[0] = 1;
for (int i = 1; i < N; i++) {
fac[i] = static_cast<long long>(fac[i - 1]) * i % mod;
}
inv[0] = inv[1] = 1;
for (int i = 2; i < N; i++) {
inv[i] = static_cast<long long>(mod - (mod / i)) * inv[mod % i] % mod;
}
fac_inv[0] = fac_inv[1] = 1;
for (int i = 2; i < N; i++) {
fac_inv[i] = static_cast<long long>(fac_inv[i - 1]) * inv[i] % mod;
}
d[2] = 1;
for (int i = 3; i < N; i++) {
d[i] = static_cast<long long>(i - 1) * (d[i - 1] + d[i - 2]) % mod;
}
cin >> t;
while (t--) {
cin >> n >> m;
cout << (n == m ? 1 : static_cast<long long>(d[n - m]) * C(n, m) % mod) << endl;
}
return 0;
}

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