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Cod sursa(job #764321)
#include <cstring>
#include <cassert>
#include <fstream>
#include <algorithm>
using namespace std;
int N, M, K;
long long D[92][12][92];
long long getR(int nodes, int modul, int prev)
{
if (nodes == 1 && modul == 0) return 1;
if (nodes == 1) return 0;
if (prev == 1 && (M + modul - (nodes - 1)) % M == 0) return 1;
if (prev == 1) return 0;
long long& now = D[nodes][modul][prev];
if (now != -1) return now;
now = getR(nodes, modul, prev - 1);
long long COMB = 1;
for (int act = 1; act * prev < nodes; ++act)
{
COMB *= getR(prev, (M + K - 1) % M, prev - 1) + act - 1;
COMB /= act;
now += getR(nodes - prev * act, (M + modul - act) % M, prev - 1) * COMB;
}
return now;
}
int main()
{
ifstream fin("arbori.in");
ofstream fout("arbori.out");
memset(D, -1, sizeof(D));
fin >> N >> M >> K;
fout << getR(N, K, N - 1) << '\n';
fin.close();
fout.close();
}