Problem p02694 (C++)

Buggy submission (status: Time Limit Exceeded):
// #pragma GCC target   ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
// #pragma GCC optimize ("Ofast,no-stack-protector")
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC optimize ("fast-math")
// #pragma comment(linker, "/stack:200000000")

#include <bits/stdc++.h>
using namespace std;

typedef long long int ll;
typedef long double ld;
typedef unsigned long long ull;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;

#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define fr(i, n) for (ll i = 0; i < n; ++i)
#define frs(i, s, n) for (ll i = s; i < n; ++i)
#define frb(i, s, e) for (ll i = s; i <= e; ++i)
#define rfr(i, n) for (ll i = n - 1; i >= 0; i--)
#define frbr(i, e, s) for (ll i = e; i >= s; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) ((ll)(x).size())

inline void __print(int x) { cerr << x; }
inline void __print(long x) { cerr << x; }
inline void __print(long long x) { cerr << x; }
inline void __print(unsigned x) { cerr << x; }
inline void __print(unsigned long x) { cerr << x; }
inline void __print(unsigned long long x) { cerr << x; }
inline void __print(float x) { cerr << x; }
inline void __print(double x) { cerr << x; }
inline void __print(long double x) { cerr << x; }
inline void __print(char x) { cerr << '\'' << x << '\''; }
inline void __print(const char *x) { cerr << '\"' << x << '\"'; }
inline void __print(const string &x) { cerr << '\"' << x << '\"'; }
inline void __print(bool x) { cerr << (x ? "true" : "false"); }

template <typename T, typename V> inline void __print(const pair<T, V> &x) {
  cerr << '{';
  __print(x.first);
  cerr << ',';
  __print(x.second);
  cerr << '}';
}
template <typename T> inline void __print(const T &x) {
  int f = 0;
  cerr << '{';
  for (auto &i : x)
    cerr << (f++ ? "," : ""), __print(i);
  cerr << "}";
}
inline void _print() { cerr << "]\n"; }
template <typename T, typename... V> inline void _print(T t, V... v) {
  __print(t);
  if (sizeof...(v))
    cerr << ", ";
  _print(v...);
}

clock_t startTime;
inline double getCurrentTime() {
  return ((double)(clock() - startTime)) / CLOCKS_PER_SEC;
}

#ifdef LOCAL
#define dbg(x...)                                                              \
  cerr << "[" << #x << "] = [";                                                \
  _print(x)
#define dbg_arr(a, n)                                                          \
  cerr << "[" << #a << "] = [ ";                                               \
  fr(i, n) cerr << a[i] << " ";                                                \
  cerr << "]\n";
#define dbg_mat(m, r, c)                                                       \
  cerr << "[" << #m << "]:\n";                                                 \
  fr(i, r) {                                                                   \
    cerr << "[ ";                                                              \
    fr(j, c) cerr << m[i][j] << " ";                                           \
    cerr << "]\n";                                                             \
  }
#define dbg_time() cerr << endl << "Time elapsed: " << getCurrentTime() << endl;
#define tle()                                                                  \
  {                                                                            \
    if (getCurrentTime() > 5.0) {                                              \
      dbg_time();                                                              \
      cerr << "[-INF-Exit-]" << endl;                                          \
      exit(1);                                                                 \
    }                                                                          \
  }
#else
#define dbg(x...)                                                              \
  {}
#define dbg_arr(a, n)                                                          \
  {}
#define dbg_mat(m, r, c)                                                       \
  {}
#define dbg_time()                                                             \
  {}
#define tle()                                                                  \
  {}
#endif

const ld PI = 3.14159265359;
const ld EPS = 1e-9;
const ll MOD = 1e9 + 7;
const ll SMOD = 998244353;
const ll INF = 1e18;
const ll SINF = 1e9;
const ll MAX = 100100;

void pre() {
  // factorial();
}

void solve() {
  ll x;
  cin >> x;
  ll p = 100;
  ll ans = 0;
  while (1) {
    if (p >= x) {
      dbg(x, p);
      cout << ans << '\n';
      return;
    }
    p = (p * 101) / 100;
    ans++;
  }
}

signed main() {
  startTime = clock();

  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);

#ifdef LOCAL
  freopen("input.txt", "r", stdin);
  freopen("output.txt", "w", stdout);
#endif

  // cout << fixed << setprecision(15);
  pre();

  ll test = 1;
  // cin >> test;
  fr(ii, test) {
    // cout << "Case #" << ii + 1 << ": ";
    solve();
  }

  dbg_time();

  return 0;
}


Fixed submission:
// #pragma GCC target   ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
// #pragma GCC optimize ("Ofast,no-stack-protector")
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC optimize ("fast-math")
// #pragma comment(linker, "/stack:200000000")

#include <bits/stdc++.h>
using namespace std;

typedef long long int ll;
typedef long double ld;
typedef unsigned long long ull;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;

#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define fr(i, n) for (ll i = 0; i < n; ++i)
#define frs(i, s, n) for (ll i = s; i < n; ++i)
#define frb(i, s, e) for (ll i = s; i <= e; ++i)
#define rfr(i, n) for (ll i = n - 1; i >= 0; i--)
#define frbr(i, e, s) for (ll i = e; i >= s; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) ((ll)(x).size())

inline void __print(int x) { cerr << x; }
inline void __print(long x) { cerr << x; }
inline void __print(long long x) { cerr << x; }
inline void __print(unsigned x) { cerr << x; }
inline void __print(unsigned long x) { cerr << x; }
inline void __print(unsigned long long x) { cerr << x; }
inline void __print(float x) { cerr << x; }
inline void __print(double x) { cerr << x; }
inline void __print(long double x) { cerr << x; }
inline void __print(char x) { cerr << '\'' << x << '\''; }
inline void __print(const char *x) { cerr << '\"' << x << '\"'; }
inline void __print(const string &x) { cerr << '\"' << x << '\"'; }
inline void __print(bool x) { cerr << (x ? "true" : "false"); }

template <typename T, typename V> inline void __print(const pair<T, V> &x) {
  cerr << '{';
  __print(x.first);
  cerr << ',';
  __print(x.second);
  cerr << '}';
}
template <typename T> inline void __print(const T &x) {
  int f = 0;
  cerr << '{';
  for (auto &i : x)
    cerr << (f++ ? "," : ""), __print(i);
  cerr << "}";
}
inline void _print() { cerr << "]\n"; }
template <typename T, typename... V> inline void _print(T t, V... v) {
  __print(t);
  if (sizeof...(v))
    cerr << ", ";
  _print(v...);
}

clock_t startTime;
inline double getCurrentTime() {
  return ((double)(clock() - startTime)) / CLOCKS_PER_SEC;
}

#ifdef LOCAL
#define dbg(x...)                                                              \
  cerr << "[" << #x << "] = [";                                                \
  _print(x)
#define dbg_arr(a, n)                                                          \
  cerr << "[" << #a << "] = [ ";                                               \
  fr(i, n) cerr << a[i] << " ";                                                \
  cerr << "]\n";
#define dbg_mat(m, r, c)                                                       \
  cerr << "[" << #m << "]:\n";                                                 \
  fr(i, r) {                                                                   \
    cerr << "[ ";                                                              \
    fr(j, c) cerr << m[i][j] << " ";                                           \
    cerr << "]\n";                                                             \
  }
#define dbg_time() cerr << endl << "Time elapsed: " << getCurrentTime() << endl;
#define tle()                                                                  \
  {                                                                            \
    if (getCurrentTime() > 5.0) {                                              \
      dbg_time();                                                              \
      cerr << "[-INF-Exit-]" << endl;                                          \
      exit(1);                                                                 \
    }                                                                          \
  }
#else
#define dbg(x...)                                                              \
  {}
#define dbg_arr(a, n)                                                          \
  {}
#define dbg_mat(m, r, c)                                                       \
  {}
#define dbg_time()                                                             \
  {}
#define tle()                                                                  \
  {}
#endif

const ld PI = 3.14159265359;
const ld EPS = 1e-9;
const ll MOD = 1e9 + 7;
const ll SMOD = 998244353;
const ll INF = 1e18;
const ll SINF = 1e9;
const ll MAX = 100100;

void pre() {
  // factorial();
}

void solve() {
  ll x;
  cin >> x;
  ll p = 100;
  ll ans = 0;
  while (1) {
    if (p >= x) {
      dbg(x, p);
      cout << ans << '\n';
      return;
    }
    p = (ll)(ld(p) * ld(1.01));
    ans++;
  }
}

signed main() {
  startTime = clock();

  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);

#ifdef LOCAL
  freopen("input.txt", "r", stdin);
  freopen("output.txt", "w", stdout);
#endif

  // cout << fixed << setprecision(15);
  pre();

  ll test = 1;
  // cin >> test;
  fr(ii, test) {
    // cout << "Case #" << ii + 1 << ": ";
    solve();
  }

  dbg_time();

  return 0;
}