Problem p02596 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <bits/stdc++.h>
#define fi first
#define se second
#define rep(i, n) for (int i = 0; i < n; i++)
#define rrep(i, n) for (int i = 1; i <= (n); ++i)
#define drep(i, n) for (int i = (n)-1; i >= 0; --i)
#define srep(i, s, t) for (int i = s; i < t; ++i)
#define rng(a) a.begin(), a.end()
#define rrng(a) a.rbegin(), a.rend()
#define maxs(x, y) (x = max(x, y))
#define mins(x, y) (x = min(x, y))
#define limit(x, l, r) max(l, min(x, r))
#define lims(x, l, r) (x = max(l, min(x, r)))
#define isin(x, l, r) ((l) <= (x) && (x) < (r))
#define pb push_back
#define eb emplace_back
#define all(c) begin(c), end(c)
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcountll
#define uni(x) x.erase(unique(rng(x)), x.end())
#define snuke srand((unsigned)clock() + (unsigned)time(NULL));
#define show(x) cout << #x << " = " << x << endl;
#define PQ(T) priority_queue<T, v(T), greater<T>>
#define bn(x) ((1 << x) - 1)
#define dup(x, y) (((x) + (y)-1) / (y))
#define newline puts("")
#define v(T) vector<T>
#define vv(T) v(v(T))
using namespace std;
typedef long long int ll;
typedef unsigned uint;
typedef unsigned long long ull;
typedef pair<int, int> P;
typedef tuple<int, int, int> T;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<P> vp;
typedef vector<T> vt;
// 最大公約数
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
// 最小公倍数
ll lcm(ll x, ll y) { return x / gcd(x, y) * y; }
// 素因数分解
vector<pair<ll, int>> factorize(ll n) {
  vector<pair<ll, int>> res;
  for (ll i = 2; i * i <= n; ++i) {
    if (n % i)
      continue;
    res.emplace_back(i, 0);
    while (n % i == 0) {
      n /= i;
      res.back().second++;
    }
  }
  if (n != 1)
    res.emplace_back(n, 1);
  return res;
}

ll mod = 100000007;

int main() {
  int k;
  ll ans = 1;
  cin >> k;
  if (k % 2 == 0 || k % 5 == 0) {
    cout << -1;
    return 0;
  }
  ll num = 7 % k;

  while (num) {
    num = (num * 10 + 7) % k;
    ans++;
  }

  cout << ans;
}

Error: TLE

Fixed submission:

#include <bits/stdc++.h>
#define fi first
#define se second
#define rep(i, n) for (int i = 0; i < n; i++)
#define rrep(i, n) for (int i = 1; i <= (n); ++i)
#define drep(i, n) for (int i = (n)-1; i >= 0; --i)
#define srep(i, s, t) for (int i = s; i < t; ++i)
#define rng(a) a.begin(), a.end()
#define rrng(a) a.rbegin(), a.rend()
#define maxs(x, y) (x = max(x, y))
#define mins(x, y) (x = min(x, y))
#define limit(x, l, r) max(l, min(x, r))
#define lims(x, l, r) (x = max(l, min(x, r)))
#define isin(x, l, r) ((l) <= (x) && (x) < (r))
#define pb push_back
#define eb emplace_back
#define all(c) begin(c), end(c)
#define sz(x) (int)(x).size()
#define pcnt __builtin_popcountll
#define uni(x) x.erase(unique(rng(x)), x.end())
#define snuke srand((unsigned)clock() + (unsigned)time(NULL));
#define show(x) cout << #x << " = " << x << endl;
#define PQ(T) priority_queue<T, v(T), greater<T>>
#define bn(x) ((1 << x) - 1)
#define dup(x, y) (((x) + (y)-1) / (y))
#define newline puts("")
#define v(T) vector<T>
#define vv(T) v(v(T))
using namespace std;
typedef long long int ll;
typedef unsigned uint;
typedef unsigned long long ull;
typedef pair<int, int> P;
typedef tuple<int, int, int> T;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<P> vp;
typedef vector<T> vt;
// 最大公約数
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
// 最小公倍数
ll lcm(ll x, ll y) { return x / gcd(x, y) * y; }
// 素因数分解
vector<pair<ll, int>> factorize(ll n) {
  vector<pair<ll, int>> res;
  for (ll i = 2; i * i <= n; ++i) {
    if (n % i)
      continue;
    res.emplace_back(i, 0);
    while (n % i == 0) {
      n /= i;
      res.back().second++;
    }
  }
  if (n != 1)
    res.emplace_back(n, 1);
  return res;
}

ll mod = 100000007;

int main() {
  int k;
  ll ans = 1;
  cin >> k;
  if (k % 2 == 0 || k % 5 == 0) {
    cout << -1;
  }
  ll num = 7 % k;
  while (num) {
    num = (num * 10 + 7) % k;
    ans++;
  }

  cout << ans;
}