#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int inf = 1e9;
const ll infl = 1e18;
mt19937 rng;
using pt = pair<int,int>;
bool ccw(pt A, pt B, pt C) {
return ll(C.second-A.second) * (B.first-A.first) > ll(B.second-A.second) * (C.first-A.first);
}
bool intersect(pt A, pt B, pt C, pt D) {
return ccw(A, C, D) != ccw(B, C, D) && ccw(A, B, C) != ccw(A, B, D);
}
int main() {
int n;
cin >> n;
vector<vector<int>> adj(n);
vector<pair<int,int>> pts(n);
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
u--;v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
map<pair<int,int>, int> ix;
for (auto& [x, y] : pts)
cin >> x >> y;
for (int i = 0; i < n; i++)
ix[pts[i]]= i;
int r = 0;
for (; r < n; r++)
if (adj[r].size() < 3) break;
vector<int> res(n, -1);
vector<int> subs(n, 1);
auto dfs_sz = [&](auto& dfs_sz, int i, int p=-1)->void {
for (int e : adj[i]) if (e != p) {
dfs_sz(dfs_sz, e, i);
subs[i] += subs[e];
}
};
dfs_sz(dfs_sz, r);
auto dfs = [&](auto& dfs, vector<pair<int,int>>::iterator p1, vector<pair<int,int>>::iterator p2, int i, int p =-1)->void {
vector<int> ch;
for (int e : adj[i]) {
if (e != p) ch.push_back(e);
}
if (ch.empty()) {
assert(p1 == p2);
return;
}
if (ch.size() == 1) {
res[ch[0]] = ix[*--p2];
dfs(dfs, p1, p2, ch[0], i);
} else {
sort(p1, p2, [](auto& p, auto& q)->bool {
return (ll)p.second * q.first > (ll) q.second * p.first;
});
assert(p2 - p1 == subs[ch[0]] + subs[ch[1]]);
auto q1 = p1 + subs[ch[0]];
auto q2 = p2;
sort(p1, p2, greater());
sort(q1, q2, greater());
p2 = q1;
res[ch[0]] = ix[*--p2];
res[ch[1]] = ix[*--q2];
dfs(dfs, p1, p2, ch[0], i);
dfs(dfs, q1, q2, ch[1], i);
}
};
sort(pts.begin(), pts.end(), greater());
res[r] = ix[pts.back()];
pts.pop_back();
dfs(dfs, pts.begin(), pts.end(), r);
vector<int> byp(n);
for (int i = 0; i < n; i++)
assert(res[i] >= 0),
byp[res[i]] = i;
for (int i : byp) {
cout << i+1 << ' ';
}
cout << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
651 ms |
16596 KB |
Output is correct |
2 |
Execution timed out |
1576 ms |
18292 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
852 KB |
Output is correct |
2 |
Correct |
129 ms |
1100 KB |
Output is correct |
3 |
Correct |
336 ms |
1128 KB |
Output is correct |
4 |
Correct |
8 ms |
1492 KB |
Output is correct |
5 |
Correct |
20 ms |
1456 KB |
Output is correct |
6 |
Correct |
16 ms |
828 KB |
Output is correct |
7 |
Correct |
9 ms |
980 KB |
Output is correct |
8 |
Correct |
15 ms |
852 KB |
Output is correct |
9 |
Correct |
234 ms |
1332 KB |
Output is correct |
10 |
Correct |
221 ms |
972 KB |
Output is correct |
11 |
Correct |
8 ms |
1364 KB |
Output is correct |
12 |
Correct |
15 ms |
1232 KB |
Output is correct |
13 |
Correct |
15 ms |
832 KB |
Output is correct |
14 |
Correct |
9 ms |
1072 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
852 KB |
Output is correct |
2 |
Correct |
129 ms |
1100 KB |
Output is correct |
3 |
Correct |
336 ms |
1128 KB |
Output is correct |
4 |
Correct |
8 ms |
1492 KB |
Output is correct |
5 |
Correct |
20 ms |
1456 KB |
Output is correct |
6 |
Correct |
16 ms |
828 KB |
Output is correct |
7 |
Correct |
9 ms |
980 KB |
Output is correct |
8 |
Correct |
15 ms |
852 KB |
Output is correct |
9 |
Correct |
234 ms |
1332 KB |
Output is correct |
10 |
Correct |
221 ms |
972 KB |
Output is correct |
11 |
Correct |
8 ms |
1364 KB |
Output is correct |
12 |
Correct |
15 ms |
1232 KB |
Output is correct |
13 |
Correct |
15 ms |
832 KB |
Output is correct |
14 |
Correct |
9 ms |
1072 KB |
Output is correct |
15 |
Correct |
40 ms |
1700 KB |
Output is correct |
16 |
Correct |
1263 ms |
2832 KB |
Output is correct |
17 |
Execution timed out |
1505 ms |
2092 KB |
Time limit exceeded |
18 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
852 KB |
Output is correct |
2 |
Correct |
129 ms |
1100 KB |
Output is correct |
3 |
Correct |
336 ms |
1128 KB |
Output is correct |
4 |
Correct |
8 ms |
1492 KB |
Output is correct |
5 |
Correct |
20 ms |
1456 KB |
Output is correct |
6 |
Correct |
16 ms |
828 KB |
Output is correct |
7 |
Correct |
9 ms |
980 KB |
Output is correct |
8 |
Correct |
15 ms |
852 KB |
Output is correct |
9 |
Correct |
234 ms |
1332 KB |
Output is correct |
10 |
Correct |
221 ms |
972 KB |
Output is correct |
11 |
Correct |
8 ms |
1364 KB |
Output is correct |
12 |
Correct |
15 ms |
1232 KB |
Output is correct |
13 |
Correct |
15 ms |
832 KB |
Output is correct |
14 |
Correct |
9 ms |
1072 KB |
Output is correct |
15 |
Correct |
40 ms |
1700 KB |
Output is correct |
16 |
Correct |
1263 ms |
2832 KB |
Output is correct |
17 |
Execution timed out |
1505 ms |
2092 KB |
Time limit exceeded |
18 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
651 ms |
16596 KB |
Output is correct |
2 |
Execution timed out |
1576 ms |
18292 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |