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<iostream>
#include<stdio.h>
#include<stdint.h>
#include<iomanip>
#include<algorithm>
#include<utility>
#include<vector>
#include<stack>
#include<queue>
#include<set>
#include<map>
#include<deque>
#include<math.h>
#include<assert.h>
#include<string.h>
using namespace std;
const double PI = (double) atan(1.0) * 4;
const double epsi = (double) 1e-3;
const int64_t INF = (int64_t) 3 * 1e9 + 777;
const int64_t mINF = (int64_t) 1e4;
const int64_t MOD = 1e9 + 7;
const int64_t MOD2 = 998244353;
const int nbit = 30;
const int ndig = 10;
const int nchar = 26;
const int B = 1000;
const int D = 4;
int dr[D] = {-1, 0, 1, 0};
int dc[D] = {0, 1, 0, -1};
const int Dk = 8;
int drk[Dk] = {2, 2, -2, -2, 1, 1, -1, -1};
int dck[Dk] = {1, -1, 1, -1, 2, -2, 2, -2};
struct Point
{
int64_t x;
int64_t y;
int id;
Point(int64_t x_, int64_t y_, int id_) : x(x_), y(y_), id(id_) {}
Point operator + (const Point& o) const { return Point(x + o.x, y + o.y, id); }
Point operator - (const Point& o) const { return Point(x - o.x, y - o.y, id); }
int64_t dot(const Point& o) const { return 1LL * x * o.x + 1LL * y * o.y; }
int64_t cross(const Point& o) const { return 1LL * x * o.y - 1LL * o.x * y; }
// Point rotate(double a) const
// {
// a = a * PI / 180.0;
// return Point(x * cos(a) - y * sin(a), x * sin(a) - y * cos(a));
// }
bool operator < (const Point& o) const
{
if(x == o.x) return y < o.y;
return x < o.x;
}
friend istream& operator >> (istream& is, Point& p)
{
return is >> p.x >> p.y;
}
friend ostream& operator << (ostream& os, Point& p)
{
return os << fixed << setprecision(3) << "(" << p.x << "," << p.y << "," << p.id << ")";
}
};
int sgn(double x)
{
return (x > 0) - (x < 0);
}
int64_t orient(Point& a, Point& b, Point& c)
{
return (b - a).cross(c - a);
}
bool parallel(Point a, Point b)
{
return a.cross(b) == 0;
}
bool boundingBox(Point& a, Point& b, Point& c, Point& d)
{
if(max(a.x, b.x) < min(c.x, d.x)) return false;
if(max(a.y, b.y) < min(c.y, d.y)) return false;
if(max(c.x, d.x) < min(a.x, b.x)) return false;
if(max(c.y, d.y) < min(a.y, b.y)) return false;
return true;
}
bool intersect(Point a, Point b, Point c, Point d)
{
if(parallel(b - a, d - c))
{
if(orient(a, b, c) != 0) return false;
if(!boundingBox(a, b, c, d)) return false;
return true;
}
for(int t = 0; t < 2; t++)
{
int t1 = sgn(orient(a, b, c));
int t2 = sgn(orient(a, b, d));
if(sgn(t1) == sgn(t2) && t1 != 0) return false;
swap(a, c); swap(b, d);
}
return true;
}
struct Solution
{
int n;
vector<int> a;
vector<Point> p;
vector<bool> used;
vector<int> subtree;
vector<vector<int> > order;
vector<vector<int> > adj;
Solution() {}
void solve()
{
cin >> n;
used.resize(n, 0);
subtree.resize(n, 1);
a.resize(n, -1);
adj.resize(n);
p.resize(n, Point(0, 0, 0));
for(int i = 0; i < n - 1; i++)
{
int u;
int v;
cin >> u >> v;
u--; v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
for(int i = 0; i < n; i++)
{
cin >> p[i];
p[i].id = i;
}
DFS();
DFS2(p);
for(int i = 0; i < n; i++)
{
cout << a[i] + 1 << " ";
}
}
void DFS2(vector<Point> t, int u = 0, int pr = -1)
{
sort(t.begin(), t.end());
a[t[0].id] = u;
Point o = t[0];
reverse(t.begin(), t.end()); t.pop_back();
sort(t.begin(), t.end(), [&](Point& t1, Point& t2)
{
return orient(o, t1, t2) > 0;
});
int k = 0;
for(int i = 0; i < (int) adj[u].size(); i++)
{
int v = adj[u][i];
if(v == pr) continue;
vector<Point> nx;
for(int j = 0; j < subtree[v]; j++)
{
nx.push_back(t[k + j]);
}
DFS2(nx, v, u);
k += subtree[v];
}
}
void DFS(int u = 0, int pr = -1)
{
for(int i = 0; i < (int) adj[u].size(); i++)
{
int v = adj[u][i];
if(v == pr) continue;
DFS(v, u);
subtree[u] += subtree[v];
}
}
int modadd(int t1, int t2)
{
int res = t1 + t2;
if(res >= MOD) res -= MOD;
return res;
}
int modsub(int t1, int t2)
{
int res = t1 - t2;
if(res < 0) res += MOD;
return res;
}
int modmul(int t1, int t2)
{
int64_t res = 1LL * t1 * t2;
return res % MOD;
}
int64_t Abs(int64_t t1)
{
if(t1 < 0) return -t1;
return t1;
}
int MASK(int j)
{
return (1 << j);
}
bool BIT(int t1, int j)
{
return (t1 & MASK(j));
}
};
void __setup()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
}
int main()
{
__setup();
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
Solution().solve();
}
return 0;
}
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