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4710. [Jsoi2011] 分特产

https://hydro.ac/d/bzoj/record/63e0d2d9dd8145683f793e11
This commit is contained in:
Baoshuo Ren 2023-02-06 18:15:10 +08:00
parent 6067adf5c3
commit fc3ab0c801
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
21 changed files with 113 additions and 0 deletions

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#include <iostream>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 2005;
const int mod = 1e9 + 7;
int n, m, a[N], c[N][N], f[N], ans;
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
c[0][0] = 1;
for (int i = 1; i < N; ++i) {
c[i][0] = 1;
for (int j = 1; j <= i; ++j) {
c[i][j] = (static_cast<long long>(c[i - 1][j - 1]) + c[i - 1][j]) % mod;
}
}
cin >> n >> m;
for (int i = 1; i <= m; i++) {
cin >> a[i];
}
for (int i = 0; i < n; i++) {
f[i] = 1;
for (int j = 1; j <= m; j++) {
f[i] = static_cast<long long>(f[i]) * c[n - i + a[j] - 1][n - i - 1] % mod;
}
f[i] = static_cast<long long>(f[i]) * c[n][i] % mod;
}
for (int i = 0; i < n; i++) {
if (i % 2 == 0) {
ans = (static_cast<long long>(ans) + f[i]) % mod;
} else {
ans = (static_cast<long long>(ans) - f[i] + mod) % mod;
}
}
cout << ans << endl;
return 0;
}

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