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Cod sursa(job #764305)
#include <cstring>
#include <cassert>
#include <fstream>
#include <algorithm>
using namespace std;
int N, M, K;
long long D[92][12][92];
long long gcd(long long A, long long B)
{
if (B == 0) return A;
return gcd(B, A % B);
}
long long getR(int nodes, int modul, int prev)
{
if (nodes == 1 && modul == 0) return 1;
if (nodes == 1) return 0;
if (prev == 0) return 0;
long long& now = D[nodes][modul][prev];
if (now != -1) return now;
now = getR(nodes, modul, prev - 1);
long long COMB, up, down;
for (int act = 1; act * prev < nodes; ++act)
{
if (act == 1)
COMB = getR(prev, (M + K - 1) % M, prev - 1), up = COMB, down = 1;
now += getR(nodes - prev * act, (M + modul - act) % M, prev - 1) * (prev == 1 ? 1 : COMB);
assert(now >= 0);
if (prev != 1)
{
++up, ++down;
long long aup = up / gcd(up, down), adown = down / gcd(up, down);
COMB = COMB / adown * aup;
}
}
assert(now >= 0);
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();
}