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Cod sursa(job #616390)
#include<fstream>
#include<vector>
using namespace std;
ifstream fin("arbore4.in");
ofstream fout("arbore4.out");
#define nmax 100010
#define mod 666013
vector<vector<int> > G;
void Read();
void Solve();
void Df(int x);
void Bf1(int x);
long long Comb(int n1, int k);
long long Putere(long long a, int b);
int n;
int nrn[nmax];
long long fact[nmax], invmod[nmax], sol[nmax]; //fact
bool s[nmax];
vector<vector<int> > F;
int main()
{
Read();
Solve();
fin.close();
fout.close();
return 0;
}
void Read()
{
fin >> n;
G.resize(n+10);
F.resize(n+10);
int a, b;
for( int i = 1; i <= n; ++i )
{
fin >> a >> b;
G[a].push_back(b);
G[b].push_back(a);
}
}
void Solve()
{
Df(1);
fact[0] = 1;
invmod[0] = 1;
for( int i = 1; i <= n; ++i )
{
fact[i] = (fact[i-1] * i)%mod;
invmod[i] = Putere(fact[i], mod-2);
}
Bf1(1);
fout << sol[1] << '\n';
}
void Df( int x )
{
nrn[x] = 1;
s[x] = true;
for( int i = 0; i < G[x].size(); ++i )
if( !s[G[x][i]] )
{
Df( G[x][i] );
F[x].push_back(G[x][i]);
nrn[x] += nrn[ G[x][i] ];
}
}
void Bf1( int x )
{
sol[x] = 1;
int ramase = nrn[x] - 1;
for( int i = 0; i < F[x].size(); ++i )
{
int fiu = F[x][i];
Bf1( fiu );
sol[x] = (((sol[x] * sol[fiu]) % mod) * Comb(ramase, nrn[fiu])) % mod;
ramase = ramase - nrn[fiu];
}
}
long long Putere( long long a, int b )
{
if( b == 0 )
return 1;
if( b % 2 == 0 )
return Putere ( (a * a )%mod, b/2 )%mod;
else
return (a * Putere( (a*a)%mod, b/2 ))%mod;
}
long long Comb(int n1, int k)
{
return (((fact[n1] * invmod[k])%mod) * invmod[n1 - k]) % mod;
//return (fact[n1]/((fact[k] * fact[n1-k] )%mod))%mod;
}