Problem p02720 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> l_l;
typedef pair<int, int> i_i;
typedef vector<ll> vl;
typedef vector<int> vi;
typedef vector<char> vec;
typedef vector<bool> veb;
typedef vector<string> ves;
typedef vector<vector<ll>> vvl;
typedef vector<vector<int>> vvi;
typedef vector<vector<char>> vvec;
typedef vector<vector<bool>> vveb;
typedef vector<vector<string>> vves;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i < (int)(n); i++)
#define rep2(i, n) for (int i = 2; i < (int)(n); i++)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define fs first
#define sc second
#define pb push_back
#define pp pop_back
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define maxel(a) *max_element(all(a))
#define minel(a) *min_element(all(a))
#define acc accumulate
#define EPS (1e-7)
#define INF (1e9)
#define PI (acos(-1))
#define mod (1000000007)
typedef long long int64;
// const int64 INF = 1LL << 58;
#define dame                                                                   \\
  {                                                                            \\
    puts("-1");                                                                \\
    return 0;                                                                  \\
  }
#define YES                                                                    \\
  {                                                                            \\
    cout << "YES" << endl;                                                     \\
    return 0;                                                                  \\
  }
#define NO                                                                     \\
  {                                                                            \\
    cout << "NO" << endl;                                                      \\
    return 0;                                                                  \\
  }
#define Yes                                                                    \\
  {                                                                            \\
    cout << "Yes" << endl;                                                     \\
    return 0;                                                                  \\
  }
#define No                                                                     \\
  {                                                                            \\
    cout << "No" << endl;                                                      \\
    return 0;                                                                  \\
  }
template <class T> bool chmax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> bool chmin(T &a, const T &b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}
int dx[] = {0, 0, -1, 1};
int dy[] = {1, -1, 0, 0};

int K = 100000;

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  int k;
  cin >> k;
  vl a(K);
  queue<ll> q;
  rep1(i, 10) { q.push(i); }
  int kari = 0;
  while (true) {
    kari++;
    ll x = q.front();

    q.pop();
    repk(i, -1, 2) {
      ll d = x % 10 + i;
      if (d < 0 || 9 < d) {
        continue;
      }
      q.push(10 * x + d);
    }
    if (kari == k) {
      cout << x << endl;
      break;
    }
  }
  return 0;
}

Error: TLE

Fixed submission:

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> l_l;
typedef pair<int, int> i_i;
typedef vector<ll> vl;
typedef vector<int> vi;
typedef vector<char> vec;
typedef vector<bool> veb;
typedef vector<string> ves;
typedef vector<vector<ll>> vvl;
typedef vector<vector<int>> vvi;
typedef vector<vector<char>> vvec;
typedef vector<vector<bool>> vveb;
typedef vector<vector<string>> vves;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i < (int)(n); i++)
#define rep2(i, n) for (int i = 2; i < (int)(n); i++)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define fs first
#define sc second
#define pb push_back
#define pp pop_back
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define maxel(a) *max_element(all(a))
#define minel(a) *min_element(all(a))
#define acc accumulate
#define EPS (1e-7)
#define INF (1e9)
#define PI (acos(-1))
#define mod (1000000007)
typedef long long int64;
// const int64 INF = 1LL << 58;
#define dame                                                                   \\
  {                                                                            \\
    puts("-1");                                                                \\
    return 0;                                                                  \\
  }
#define YES                                                                    \\
  {                                                                            \\
    cout << "YES" << endl;                                                     \\
    return 0;                                                                  \\
  }
#define NO                                                                     \\
  {                                                                            \\
    cout << "NO" << endl;                                                      \\
    return 0;                                                                  \\
  }
#define Yes                                                                    \\
  {                                                                            \\
    cout << "Yes" << endl;                                                     \\
    return 0;                                                                  \\
  }
#define No                                                                     \\
  {                                                                            \\
    cout << "No" << endl;                                                      \\
    return 0;                                                                  \\
  }
template <class T> bool chmax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> bool chmin(T &a, const T &b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}
int dx[] = {0, 0, -1, 1};
int dy[] = {1, -1, 0, 0};

int K = 100000;

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  int k;
  cin >> k;
  int a = 0;
  vl runrun(K);
  for (ll i = 1; i < K * 1000; i++) {
    bool ok = false;
    string s = to_string(i);
    if (s.size() == 1) {
      ok = true;
    } else {
      rep(j, s.size() - 1) {
        ok = true;
        int mae = (s[j] - '0');
        int ato = (s[j + 1] - '0');
        if (!(abs(mae - ato) < 2)) {
          ok = false;
          break;
        }
      }
    }
    if (ok) {
      runrun[a] = i;
      a++;
    }
  }
  cout << runrun[k - 1] << endl;

  return 0;
}