This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 500;
const int MOD = 1e9 + 7;
long long dp[MAX_N][MAX_N][MAX_N];
int main() {
int n, m;
cin >> n >> m;
dp[0][m][0] = 1;
for ( int i = 1; i <= n; i++ ) {
for ( int c = 0; c <= m; c++ ) {
for ( int l = 0; l <= i; l++ ) {
dp[i][c][l] = (l > 0 ? dp[i - 1][c][l - 1] : 0)
+ dp[i - 1][c + 1][l] * (c + 1) * 4
+ dp[i - 1][c + 2][l] * (c + 2) * (c + 1) / 2
+ dp[i - 1][c + 1][l + 1] * (c + 1) * (l + 1);
dp[i][c][l] %= MOD;
}
}
}
int sol = 0;
for ( int c = 0; c < m; c++ ) {
for ( int l = 0; l <= n; l++ )
sol = (sol + dp[n][c][l]) % MOD;
}
cout << sol;
return 0;
}
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