Code : Turtle and a MEX Problem (Easy Version)
#include <bits/stdc++.h>
using namespace std;
void solve() {
int n, m;
cin >> n >> m;
// sm[i] denotes the second missing element of the i-th list.
vector<int> sm;
while (n--) {
int len;
cin >> len;
vector<bool> present(len + 2, false);
for (int i = 0; i < len; i++) {
int ele;
cin >> ele;
// Reject elements greater than the length to avoid segfault.
if (ele < present.size()) {
present[ele] = true;
}
}
int missing_count = 0;
for (int i = 0; i < present.size(); i++) {
if (!present[i]) {
missing_count++;
}
if (missing_count == 2) {
sm.push_back(i);
break;
}
}
}
int lim = *max_element(sm.begin(), sm.end());
auto get_sum = [&](int n) {
// Sum of all numbers from 1 to n.
return 1LL * n * (n + 1) / 2;
};
int stop = min(m, lim);
long long res = 1LL * (stop + 1) * lim;
if (m > lim) {
res += get_sum(m) - get_sum(lim);
}
cout << res << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while (t--) {
solve();
}
}