Problem p02698 (C++) — buggy submission, verdict: Time Limit Exceeded

/*
これを入れて実行
g++ code.cpp
./a.out
 */

#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <math.h>
#include <queue>
#include <set>
#include <stdio.h>
#include <string>
#include <tuple>
#include <unordered_map>
#include <utility>
#include <vector>

#define all(x) (x).begin(), (x).end()
#define rep(i, n) for (int i = 0; i < (int)(n); i++)

using namespace std;
typedef long long ll;
typedef long double ld;

int dy4[4] = {-1, 0, +1, 0};
int dx4[4] = {0, +1, 0, -1};
int dy8[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
int dx8[8] = {0, 1, 1, 1, 0, -1, -1, -1};

const long long INF = 1LL << 62;
const ll MOD = 1e9 + 7;

bool greaterSecond(const pair<int, int> &f, const pair<int, int> &s) {
  return f.second > s.second;
}

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }

ll conbinationMemo[100][100];

ll cmemoInit() {
  rep(i, 100) {
    rep(j, 100) { conbinationMemo[i][j] = -1; }
  }
}

ll nCr(ll n, ll r) {
  if (conbinationMemo[n][r] != -1)
    return conbinationMemo[n][r];
  if (r == 0 || r == n) {
    return 1;
  } else if (r == 1) {
    return n;
  }
  return conbinationMemo[n][r] = (nCr(n - 1, r) + nCr(n - 1, r - 1));
}

ll nPr(ll n, ll r) {
  r = n - r;
  ll ret = 1;
  for (ll i = n; i >= r + 1; i--)
    ret *= i;
  return ret;
}
//-----------------------ここから-----------
vector<vector<ll>> g;
vector<ll> a;
vector<ll> ans;
void dfs(ll now, ll pa, vector<ll> &dp) {

  auto itr = lower_bound(all(dp), a[now]);
  ll tmp = *itr;
  *itr = a[now];
  ans[now] = lower_bound(all(dp), INF) - dp.begin();

  rep(i, g[now].size()) {
    ll next = g[now][i];
    if (next == pa)
      continue;
    dfs(next, now, dp);
  }

  *itr = tmp;
}
int main(void) {
  ll n;
  cin >> n;
  a.resize(n);
  ans.resize(n, 0);
  rep(i, n) cin >> a[i];
  g.resize(n);

  rep(i, n - 1) {
    ll u, v;
    cin >> u >> v;
    u--, v--;
    g[u].push_back(v);
    g[v].push_back(u);
  }

  vector<ll> dp(n, INF);
  dfs(0, -1, dp);
  rep(i, n) { cout << ans[i] << endl; }
}


Error: TLE

Fixed submission:

/*
これを入れて実行
g++ code.cpp
./a.out
 */

#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <math.h>
#include <queue>
#include <set>
#include <stdio.h>
#include <string>
#include <tuple>
#include <unordered_map>
#include <utility>
#include <vector>

#define all(x) (x).begin(), (x).end()
#define rep(i, n) for (int i = 0; i < (int)(n); i++)

using namespace std;
typedef long long ll;
typedef long double ld;

int dy4[4] = {-1, 0, +1, 0};
int dx4[4] = {0, +1, 0, -1};
int dy8[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
int dx8[8] = {0, 1, 1, 1, 0, -1, -1, -1};

const long long INF = 1LL << 62;
const ll MOD = 1e9 + 7;

bool greaterSecond(const pair<int, int> &f, const pair<int, int> &s) {
  return f.second > s.second;
}

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }

ll conbinationMemo[100][100];

ll cmemoInit() {
  rep(i, 100) {
    rep(j, 100) { conbinationMemo[i][j] = -1; }
  }
}

ll nCr(ll n, ll r) {
  if (conbinationMemo[n][r] != -1)
    return conbinationMemo[n][r];
  if (r == 0 || r == n) {
    return 1;
  } else if (r == 1) {
    return n;
  }
  return conbinationMemo[n][r] = (nCr(n - 1, r) + nCr(n - 1, r - 1));
}

ll nPr(ll n, ll r) {
  r = n - r;
  ll ret = 1;
  for (ll i = n; i >= r + 1; i--)
    ret *= i;
  return ret;
}
//-----------------------ここから-----------
vector<vector<ll>> g;
vector<ll> a;
vector<ll> ans;
ll lis(ll now, vector<ll> &dp) {

  *lower_bound(all(dp), a[now]) = a[now];

  return lower_bound(all(dp), INF) - dp.begin();
}
void dfs(ll now, ll pa, vector<ll> dp) {

  ans[now] = lis(now, dp);

  rep(i, g[now].size()) {
    ll next = g[now][i];
    if (next == pa)
      continue;
    dfs(next, now, dp);
  }
}
int main(void) {
  ll n;
  cin >> n;
  a.resize(n);
  ans.resize(n, 0);
  rep(i, n) cin >> a[i];
  g.resize(n);

  rep(i, n - 1) {
    ll u, v;
    cin >> u >> v;
    u--, v--;
    g[u].push_back(v);
    g[v].push_back(u);
  }

  vector<ll> array;
  vector<ll> dp(n, INF);
  dfs(0, -1, dp);
  rep(i, n) { cout << ans[i] << endl; }
}