#include <bits/stdc++.h>
// cut here
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T& t) { payload.push_back(t); }
T& front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
explicit mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
int from_id = int(g[from].size());
int to_id = int(g[to].size());
if (from == to) to_id++;
g[from].push_back(_edge{to, to_id, cap});
g[to].push_back(_edge{from, from_id, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto& _e = g[pos[i].first][pos[i].second];
auto& _re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0) continue;
level[e.to] = level[v] + 1;
if (e.to == t) return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s) return up;
Cap res = 0;
int level_v = level[v];
for (int& i = iter[v]; i < int(g[v].size()); i++) {
_edge& e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
Cap d =
self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0) continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up) return res;
}
level[v] = _n;
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1) break;
std::fill(iter.begin(), iter.end(), 0);
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f) break;
flow += f;
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
// cut here
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3yqVz8E ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// e
signed main(){
_3yqVz8E;
int n,q,c,m;
cin>>n>>q>>c>>m;
vec(pii) a(n);
rep(i,n){
cin>>a[i].fi>>a[i].se;
}
vec(pii) b(q);
map<pii,int> mp;
rep(i,q){
cin>>b[i].fi>>b[i].se;
mp[b[i]]=i;
}
vec(vec(pii)) rbts(m);
rep(i,m){
int k;
cin>>k;
rep(j,k){
int id;
cin>>id;
id-=1;
rbts[i].pb(b[id]);
}
}
auto dist=[&](pii u,pii v){
return (u.fi-v.fi)*(u.fi-v.fi)+(u.se-v.se)*(u.se-v.se);
};
auto af=[&](int r)->pair<int,atcoder::mf_graph<int>>{
int s=n+m;
int t=s+1;
atcoder::mf_graph<int> mf(n+m+2);
rep(i,n){
rep(j,m){
for(auto p:rbts[j]){
if(dist(p,a[i])<=r){
mf.add_edge(i,j+n,1);
}
}
}
mf.add_edge(s,i,1);
}
rep(j,m){
mf.add_edge(j+n,t,c);
}
if(mf.flow(s,t)==n) return {1,mf};
return {0,mf};
};
int l=0,r=1e9;
int opt=-1;
while(l<=r){
int m=(l+r)/2;
if(af(m).fi)opt=m,r=m-1;
else l=m+1;
}
cout<<opt<<"\n";
if(opt!=-1){
vi pns(n);
{
atcoder::mf_graph<int> mf=af(opt).se;
auto edges=mf.edges();
for(auto e:edges){
if(e.from<n and e.flow==1 and e.cap==1){
int j=e.to-n;
for(auto p:rbts[j]){
if(dist(p,a[e.from])<=opt){
pns[e.from]=mp[p]+1;
break;
}
}
}
}
}
rep(i,n){
cout<<pns[i]<<"\n";
}
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
724 KB |
Output is correct |
| 2 |
Correct |
6 ms |
596 KB |
Output is correct |
| 3 |
Correct |
10 ms |
724 KB |
Output is correct |
| 4 |
Correct |
13 ms |
1220 KB |
Output is correct |
| 5 |
Correct |
11 ms |
1072 KB |
Output is correct |
| 6 |
Correct |
10 ms |
932 KB |
Output is correct |
| 7 |
Correct |
6 ms |
596 KB |
Output is correct |
| 8 |
Correct |
4 ms |
596 KB |
Output is correct |
| 9 |
Correct |
8 ms |
808 KB |
Output is correct |
| 10 |
Correct |
15 ms |
1244 KB |
Output is correct |
