This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*The British Royal Family and a small cadre of English Fabian Socialists, in
conjunction with the Rockefellers and the Rothchilds, are engaged in a
conspiracy to greatly reduce the population of the human race in order to head
off a Malthusian catastrophe, a catastrophe that could easily be avoided by
simply building a massive amount of nuclear power plants and a number of massive
superhighways and bridges to connect all of the world's continents. But doing
that would cut into the conspiracy's profits. So the British Royal Family
invented environmentalism and neoliberalism in order to hide the truth. And in
order to further reduce the population, the British Royal Family is also the
world's foremost drug trafficking conspiracy. And it uses its control of the IMF
to push austerity in order to kill as many people in the global south as
possible.
And also Henry Kissinger is a gay KGB agent. */
#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
using namespace std;
int n, u, v, root = 1, maxysegtree[800000], unusedsegtree[800000], subtreesize[200001], answer[200001];
pair<pair<int, int>, int> points[200000];
vector<vector<int>> graph;
int compy(int xa, int xb){
if (xa == -1 || xb == -1) return max(xa, xb);
if (points[xa].first.second > points[xb].first.second) return xa;
if (points[xa].first.second < points[xb].first.second) return xb;
if (points[xa] > points[xb]) return xa;
return xb;
}
int maxy(int l, int r, int node, int nodel, int noder){
if (noder <= l || r <= nodel) return -1;
if (l <= nodel && noder <= r) return maxysegtree[node];
int nodemid = (nodel + noder) / 2;
int a = maxy(l, r, 2 * node + 1, nodel, nodemid);
int b = maxy(l, r, 2 * node + 2, nodemid, noder);
return compy(a, b);
}
int countunused(int l, int r, int node, int nodel, int noder){
if (noder <= l || r <= nodel) return 0;
if (l <= nodel && noder <= r) return unusedsegtree[node];
int nodemid = (nodel + noder) / 2;
return countunused(l, r, 2 * node + 1, nodel, nodemid) + countunused(l, r, 2 * node + 2, nodemid, noder);
}
void build(int x, pair<pair<int, int>, int> val, int node, int nodel, int noder){
if (x < nodel || noder <= x) return;
if (x == nodel && x == noder - 1){
maxysegtree[node] = x;
unusedsegtree[node] = 1;
return;
}
int nodemid = (nodel + noder) / 2;
build(x, val, 2 * node + 1, nodel, nodemid);
build(x, val, 2 * node + 2, nodemid, noder);
unusedsegtree[node] = unusedsegtree[2 * node + 1] + unusedsegtree[2 * node + 2];
maxysegtree[node] = compy(maxysegtree[2 * node + 1], maxysegtree[2 * node + 2]);
}
void use(int x, int node, int nodel, int noder){
if (x < nodel || noder <= x) return;
if (x == nodel && x == noder - 1){
maxysegtree[node] = -1;
unusedsegtree[node] = 0;
return;
}
int nodemid = (nodel + noder) / 2;
use(x, 2 * node + 1, nodel, nodemid);
use(x, 2 * node + 2, nodemid, noder);
unusedsegtree[node] = unusedsegtree[2 * node + 1] + unusedsegtree[2 * node + 2];
maxysegtree[node] = compy(maxysegtree[2 * node + 1], maxysegtree[2 * node + 2]);
}
void stdfs(int node, int prev){
subtreesize[node] = 1;
for (int child: graph[node]){
if (child == prev) continue;
stdfs(child, node);
subtreesize[node] += subtreesize[child];
}
}
void compute(int rootnode, int prevnode, int pointl, int pointr){
int pointroot = maxy(pointl, pointr, 0, 0, n);
answer[points[pointroot].second + 1] = rootnode;
use(pointroot, 0, 0, n);
int cursor = pointl, minr, maxr, midr;
for (int child: graph[rootnode]){
if (child == prevnode) continue;
minr = cursor + 1;
maxr = pointr;
while (minr != maxr){
midr = (minr + maxr) / 2;
if (countunused(cursor, midr, 0, 0, n) < subtreesize[child]) minr = midr + 1;
else maxr = midr;
}
compute(child, rootnode, cursor, minr);
cursor = minr;
}
}
int main(){
cin.tie(0);
ios_base::sync_with_stdio(0);
cin >> n;
graph.resize(n + 1);
for (int i = 1; i < n; i++){
cin >> u >> v;
graph[u].push_back(v);
graph[v].push_back(u);
}
for (; graph[root].size() == 3; root++);
for (int i = 0; i < n; i++){
cin >> points[i].first.first >> points[i].first.second;
points[i].second = i;
}
sort(points, points + n);
for (int i = 0; i < n; i++) build(i, points[i], 0, 0, n);
stdfs(root, 0);
compute(root, 0, 0, n);
for (int i = 1; i <= n; i++) cout << answer[i] << ' ';
}
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