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 MAXN = 5001;
const int MOD = 1e4+7;
int deg[MAXN], cnt[MAXN], fact[MAXN];
int fastPow(int a, int b) {
if (b == 0) return 1;
if (b & 1) return (a * fastPow(a, b-1)) % MOD;
return fastPow((a*a)%MOD, b/2);
}
int rev(int a) {
return fastPow(a, MOD-2);
}
int choose(int a, int b) {
return (((fact[a]*rev(fact[a-b])) % MOD) * rev(fact[b])) % MOD;
}
int main()
{
fact[0] = 1;
for (int i = 1; i<MAXN; ++i) fact[i] = (i*fact[i-1]) % MOD;
int n, m = 0; cin >> n;
for (int i = 0; i<n; ++i) {
int sz,a; cin >> sz;
deg[i] = sz; ++cnt[sz];
m += sz;
while (sz--) {
cin >> a;
}
}
m /= 2;
sort(deg,deg+n);
int same = 1, degSum = 0, x = 1, ans = 0;
for (int i = n-1; i; --i, ++x) {
if (i != n-1) {
if (deg[i] == deg[i+1]) ++same;
else same = 1;
}
degSum += deg[i];
if (degSum - (x*(x-1))/2 == m) {
ans += choose(cnt[deg[i]], same);
}
}
cout << ans;
}
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