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 <iostream>
using namespace std;
#include <vector>
#define ll long long
#define pll pair<ll,ll>
#define vll vector<ll>
const int siz = 2001;
ll dp[siz][siz];
ll fac[siz];
ll c[siz][siz];
const int mod = 1e9 + 7;
int main()
{
int n, m;
cin >> n >> m;
dp[0][0] = 1;
fac[0] = 1;
for (int i = 1; i < siz; i++) {
fac[i] = (i * fac[i - 1]) % mod;
}
for (int i = 0; i < siz; i++) {
for (int j = 0; j < siz; j++) {
if (j == 0)c[i][j] = 1;
else if (i == 0)c[i][j] = 0;
else c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod;
}
}
for (int i = 1; i <= m; i++) {
int pile = ((2 * n) / m) + (i <= (2 * n) % m);
for (int j = 0; j <= 2 * n; j++) {
for (int k = 0; k<=j && j+pile>=2*k&& k<=pile; k++) {
dp[i][j] += (((dp[i - 1][j +pile-2*k] * (c[j+pile-2*k][j-k]*fac[pile-k])%mod) % mod) * c[j][k]) % mod;
}
}
}
for (int i = 0; i < n; i++) {
dp[m][0]=(2*dp[m][0])%mod;
}
cout << dp[m][0];
}
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