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 N = 5005;
int deg[N], cnt[N], val[N];
int getC(int n, int k) {
k = min(k, n - k);
int res = 1;
for (int i = 1; i <= k; i++)
res = res * (n - k + i) / i;
return res;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int n; cin >> n;
for (int i = 1; i <= n; i++) {
cin >> deg[i]; int u;
for (int j = 0; j < deg[i]; j++) cin >> u;
cnt[deg[i]]++;
}
for (int i = n - 1; i >= 0; i--)
cnt[i] += cnt[i + 1];
for (int i = 1; i <= n; i++)
val[cnt[deg[i]]--] = deg[i];
int tot = 0, cur = 0, sum = 0, res = 0;
for (int i = 1; i <= n; i++) cnt[i] = 0;
for (int i = 1; i <= n; i++) {
cnt[val[i]]++; tot += val[i];
}
for (int i = 1; i < n; i++) {
sum += val[i];
if (val[i] != val[i - 1]) cur = 1;
else cur++;
if (sum * 2 == i * (i - 1) + tot)
res += getC(cnt[val[i]], cur);
}
cout << res << '\n';
}
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