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#1972. 【Public NOIP Round #5】青鱼和区间

https://sjzezoj.com/submission/72660
This commit is contained in:
Baoshuo Ren 2023-02-25 20:21:46 +08:00
parent d7bd7cf57e
commit 925330530c
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
22 changed files with 109 additions and 0 deletions

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#include <iostream>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 305;
int n, p, f[N][N], d[N], p2[N * N];
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> p;
p2[0] = 1;
for (int i = 1; i <= n * n; i++) {
p2[i] = static_cast<long long>(p2[i - 1]) * 2 % p;
}
f[1][1] = 1;
for (int i = 2; i <= n; i++) {
f[i][1] = p2[(i - 1) * (i - 2) / 2];
for (int j = 2; j <= i; j++) {
for (int k = 1; k < i; k++) {
f[i][j] = (f[i][j] + static_cast<long long>(f[k][j - 1]) * p2[(i - k - 1) * (i - k - 2) / 2] % p) % p;
}
}
}
for (int i = 1; i <= n; i++) {
d[i] = p2[i * (i + 1) / 2];
for (int j = 1; j < i; j++) {
d[i] = ((d[i] - static_cast<long long>(f[i][j]) * d[j]) % p + p) % p;
}
}
cout << d[n] << endl;
return 0;
}

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