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#1972. 【Public NOIP Round #5】青鱼和区间
https://sjzezoj.com/submission/72660
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S2OJ/1972/1972.cpp
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46
S2OJ/1972/1972.cpp
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#include <iostream>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 305;
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int n, p, f[N][N], d[N], p2[N * N];
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> p;
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p2[0] = 1;
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for (int i = 1; i <= n * n; i++) {
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p2[i] = static_cast<long long>(p2[i - 1]) * 2 % p;
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}
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f[1][1] = 1;
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for (int i = 2; i <= n; i++) {
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f[i][1] = p2[(i - 1) * (i - 2) / 2];
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for (int j = 2; j <= i; j++) {
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for (int k = 1; k < i; k++) {
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f[i][j] = (f[i][j] + static_cast<long long>(f[k][j - 1]) * p2[(i - k - 1) * (i - k - 2) / 2] % p) % p;
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}
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}
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}
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for (int i = 1; i <= n; i++) {
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d[i] = p2[i * (i + 1) / 2];
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for (int j = 1; j < i; j++) {
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d[i] = ((d[i] - static_cast<long long>(f[i][j]) * d[j]) % p + p) % p;
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}
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}
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cout << d[n] << endl;
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return 0;
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}
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