Language: C++

#include <iostream>
#include <iomanip>
#include <string>
#include <stack>
#include <vector>
#include <complex>
#include <math.h>
#include <stdio.h>
#include <algorithm>
#include <utility>
#include <functional>
#include <iterator>
#include <map>
#include <set>
#include <queue>
#include <list>
#include <regex>
#include <limits>
#include <time.h>
#include <cstdint>
using namespace std;
using pii  = pair<int,int>;
using ll=long long;
using ld=long double;
#define pb push_back
#define mp make_pair
#define sc second
#define fr first
#define stpr setprecision
#define cYES cout<<"YES"<<endl
#define cNO cout<<"NO"<<endl
#define cYes cout<<"Yes"<<endl
#define cNo cout<<"No"<<endl
#define rep(i,n) for(ll i=0;i<(n);++i)
#define Rep(i,a,b) for(ll i=(a);i<(b);++i)
#define rrep(i,n) for(ll i=n-1;i>=0;i--)
#define rRep(i,a,b) for(ll i=b-1;i>=a;i--)
#define crep(i) for(char i='a';i<='z';++i)
#define psortsecond(A,N) sort(A,A+N,[](const pii &a, const pii &b){return a.second<b.second;});
#define ALL(x) (x).begin(),(x).end()
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define endl '\n'
int ctoi(const char c){
  if('0' <= c && c <= '9') return (c-'0');
  return -1;
}
ll gcd(ll a,ll b){return (b == 0 ? a : gcd(b, a%b));}
ll lcm(ll a,ll b){return a*b/gcd(a,b);}
constexpr ll MOD=1000000007;
constexpr ll INF=1000000011;
constexpr ll MOD2=998244353;
constexpr ll LINF = 1001002003004005006ll;
constexpr ld EPS=10e-8;
template <class T, class U> inline bool chmax(T& lhs, const U& rhs) { if (lhs < rhs) { lhs = rhs; return 1; } return 0; }
template <class T, class U> inline bool chmin(T& lhs, const U& rhs) { if (lhs > rhs) { lhs = rhs; return 1; } return 0; }
template<typename T> istream& operator>>(istream& is,vector<T>& v){for(auto&& x:v)is >> x;return is;}
template<typename T,typename U> istream& operator>>(istream& is, pair<T,U>& p){ is >> p.first; is >> p.second; return is;}
template<typename T,typename U> ostream& operator>>(ostream& os, const pair<T,U>& p){ os << p.first << ' ' << p.second; return os;}
template<class T> ostream& operator<<(ostream& os, vector<T>& v){
  for(auto i=begin(v); i != end(v); ++i){
    if(i !=begin(v)) os << ' ';
    os << *i;
  }
  return os;
}

ll N,A[200007],ans[200007];
vector<vector<ll>> E(200007);

ll binaly(ll key,vector<ll>& V,vector<ll>& dp){
  ll ok=0,ng=V.size();
  while(ok<ng){
    ll mid = (ok+ng)/2;
    if(dp[mid]<key){ 
      ok = mid+1; 
    }
    else{
      ng = mid;
    }
  }
  return ok;
}

void dfs(ll key,ll mae, vector<ll>& dp,vector<ll>& V){
  V.pb(A[key]);
  ll bak;
  dp[bak=binaly(A[key],V,dp)] = (bak2=A[key]);
  ans[key]=lower_bound(dp.begin(), dp.end(), INF ) - dp.begin();
  rep(i,E[key].size()){
    if(E[key][i]!=mae){
      dfs(E[key][i],key,dp,V);
    }
  }
  dp[bak] = bak2;
  V.pop_back();
}

int main(){
  cin >> N;
  rep(i,N){
    cin >> A[i+1];
  }
  vector<ll> V;
  V.clear();
  vector<ll> dp(200007,INF);
  rep(i,N-1){
    ll X,Y;
    cin >> X >> Y;
    E[X].pb(Y);
    E[Y].pb(X);
  }
  dfs(1,0,dp,V);
  rep(i,N){
    cout << ans[i+1] << endl;
  }
}

Compiler output:
a.cc: In function 'void dfs(ll, ll, std::vector<long long int>&, std::vector<long long int>&)':
a.cc:87:34: error: 'bak2' was not declared in this scope; did you mean 'bak'?
   87 |   dp[bak=binaly(A[key],V,dp)] = (bak2=A[key]);
      |                                  ^~~~
      |                                  bak