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;
typedef long long ll;
typedef pair <int, int> pii;
int n, p, q, group;
vector <vector <int>> taken;
vector <vector <vector <bool>>> dp;
vector <set <int>> adj;
inline int fnc(int groupNo) {
if (groupNo == n) return 0;
return n % p && groupNo == n-1? n % p:p;
}
bool backtrack(int groupNo, int mask, int need) {
if (groupNo == group) {
assert(mask == (1<<n)-1);
for(int i = 0; i < group; ++i) {
for(int j = 0; j < group; ++j) {
if (i == j) continue;
int cnt = 0;
for(int x : taken[i]) {
for(int y : taken[j]) {
if (adj[x].find(y) != adj[x].end()) cnt++;
if (cnt > q) return false;
}
}
}
}
cout << "home\n" << group << '\n';
for(int i = 0; i < group; ++i) {
cout << taken[i].size() << ' ';
for(int x : taken[i]) cout << x << ' ';
cout << '\n';
}
return true;
}
if (dp[groupNo][mask][need]) return false;
for(int i = 0; i < n; ++i) {
int bit = 1<<i;
if ((mask & bit) != 0) continue;
taken[groupNo].push_back(i);
if (need == 1) {
if (backtrack(groupNo+1, mask^bit, fnc(groupNo+1))) return true;
}
else if (backtrack(groupNo, mask^bit, need-1)) return true;
taken[groupNo].pop_back();
}
dp[groupNo][mask][need] = true;
return false;
}
int main(const int argc, const char *argv[]) {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> p >> q;
group = (n + p-1) /p;
adj.resize(n);
taken.resize(n);
dp.assign(group, vector <vector <bool>> (1<<n, vector <bool> (p+1, false)));
for(int i = 0; i < n; ++i) {
int x;
cin >> x;
while (x--) {
int a;
cin >> a;
adj[i].insert(a);
}
}
for(int i = 0; i < n; ++i) {
for(int j = i+1; j < n; ++j) {
bool f1 = adj[i].find(j) != adj[i].end();
bool f2 = adj[j].find(i) != adj[j].end();
if (f1 ^ f2) {
cout << "detention";
return 0;
}
}
}
if (!backtrack(0, 0, fnc(0))) {
cout << "detention";
}
return 0;
}
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