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1801. [Ahoi2009]chess 中国象棋
https://hydro.ac/d/bzoj/record/63170bb13f0a183d28636b71
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BZOJ/1801/1801.cpp
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BZOJ/1801/1801.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 = 105;
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const int mod = 9999973;
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int n, m;
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long long f[N][N][N]{1}, ans;
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long long C(long long x) {
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return x * (x - 1) / 2;
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}
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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 >> m;
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for (int i = 1; i <= n; i++) {
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// 不增加炮
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for (int j = 0; j <= m; j++) {
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for (int k = 0; j + k <= m; k++) {
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f[i][j][k] = f[i - 1][j][k];
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}
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}
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// 增加 1 个炮
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//
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// 从 1 个炮增加到 2 个炮
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for (int j = 0; j <= m; j++) {
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for (int k = 1; j + k <= m; k++) {
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f[i][j][k] = (f[i][j][k] + f[i - 1][j + 1][k - 1] * (j + 1) % mod) % mod;
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}
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}
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// 增加 1 个炮
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//
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// 从 0 个炮增加到 1 个炮
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for (int j = 1; j <= m; j++) {
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for (int k = 0; j + k <= m; k++) {
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f[i][j][k] = (f[i][j][k] + f[i - 1][j - 1][k] * (m - j - k + 1) % mod) % mod;
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}
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}
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// 增加 2 个炮
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//
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// 一列从 0 个炮增加到 1 个炮
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// 一列从 1 个炮增加到 2 个炮
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for (int j = 0; j <= m; j++) {
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for (int k = 1; j + k <= m; k++) {
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f[i][j][k] = (f[i][j][k] + f[i - 1][j][k - 1] * j * (m - j - k + 1) % mod) % mod;
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}
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}
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// 增加 2 个炮
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//
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// 两列从 0 个炮增加到 1 个炮
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for (int j = 2; j <= m; j++) {
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for (int k = 0; j + k <= m; k++) {
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f[i][j][k] = (f[i][j][k] + f[i - 1][j - 2][k] * C(m - j - k + 2) % mod) % mod;
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}
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}
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// 增加 2 个炮
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//
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// 两列从 1 个炮增加到 2 个炮
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for (int j = 0; j <= m; j++) {
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for (int k = 2; j + k <= m; k++) {
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f[i][j][k] = (f[i][j][k] + f[i - 1][j + 2][k - 2] * C(j + 2) % mod) % mod;
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}
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}
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}
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for (int i = 0; i <= m; i++) {
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for (int j = 0; i + j <= m; j++) {
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ans = (ans + f[n][i][j]) % mod;
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}
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}
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cout << ans << endl;
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return 0;
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}
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