Problem p02660 (C++) — buggy submission, verdict: Time Limit Exceeded

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

inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}
template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

typedef long long ll;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<long long> VL;
typedef vector<vector<long long>> VVL;
typedef vector<string> VS;
typedef pair<int, int> P;
typedef tuple<int, int, int> tpl;

#define ALL(a) (a).begin(), (a).end()
#define SORT(c) sort((c).begin(), (c).end())
#define REVERSE(c) reverse((c).begin(), (c).end())
#define LB(a, x) lower_bound((a).begin(), (a).end(), x) - (a).begin()
#define UB(a, x) upper_bound((a).begin(), (a).end(), x) - (a).begin()

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define RFOR(i, a, b) for (int i = (a)-1; i >= (b); --i)
#define RREP(i, n) RFOR(i, n, 0)

#define en "\\n"

constexpr double EPS = 1e-9;
constexpr double PI = 3.1415926535897932;
constexpr int INF = 2147483647;
constexpr long long LINF = 1LL << 60;
constexpr long long MOD = 1000000007; // 998244353;

#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \\
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \\
       << " " << __FILE__ << endl;

template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}

vector<pair<long long, ll>> factorize(long long n) {
  vector<pair<long long, ll>> res;

  if (n % 2 == 0) {
    res.emplace_back(2, 0);
    while (n % 2 == 0) {
      n /= 2;
      res.back().second++;
    }
  }

  for (long long i = 3; i * i <= n; i += 2) {
    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;
}

void Main() {
  ll N;
  cin >> N;
  auto v = factorize(N);
  ll ans = 0;
  ll k = v.size();
  REP(i, k) {
    auto p = v[i];
    ll n = p.second;
    ll l = 0, r = 1000;
    while (r - l > 1) {
      ll x = (l + r) / 2;
      if (x * (x + 1) <= 2 * n)
        l = x;
      else
        r = x;
    }
    ans += l;
  }
  cout << ans << en;
  return;
}

int main(void) {
  cin.tie(0);
  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(15);
  ll t = 1; // cin>>t;
  REP(_, t) { Main(); }
  return 0;
}

Error: TLE

Fixed submission:

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

inline int toInt(string s) {
  int v;
  istringstream sin(s);
  sin >> v;
  return v;
}
template <class T> inline string toString(T x) {
  ostringstream sout;
  sout << x;
  return sout.str();
}

typedef long long ll;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<long long> VL;
typedef vector<vector<long long>> VVL;
typedef vector<string> VS;
typedef pair<int, int> P;
typedef tuple<int, int, int> tpl;

#define ALL(a) (a).begin(), (a).end()
#define SORT(c) sort((c).begin(), (c).end())
#define REVERSE(c) reverse((c).begin(), (c).end())
#define LB(a, x) lower_bound((a).begin(), (a).end(), x) - (a).begin()
#define UB(a, x) upper_bound((a).begin(), (a).end(), x) - (a).begin()

#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define RFOR(i, a, b) for (int i = (a)-1; i >= (b); --i)
#define RREP(i, n) RFOR(i, n, 0)

#define en "\\n"

constexpr double EPS = 1e-9;
constexpr double PI = 3.1415926535897932;
constexpr int INF = 2147483647;
constexpr long long LINF = 1LL << 60;
constexpr long long MOD = 1000000007; // 998244353;

#define dump(x) cerr << #x << " = " << (x) << endl;
#define debug(x)                                                               \\
  cerr << #x << " = " << (x) << " (L" << __LINE__ << ")"                       \\
       << " " << __FILE__ << endl;

template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}

vector<pair<long long, int>> factorize(long long n) {
  vector<pair<long long, int>> res;

  if (n % 2 == 0) {
    res.emplace_back(2, 0);
    while (n % 2 == 0) {
      n /= 2;
      res.back().second++;
    }
  }

  for (int i = 3; i * i <= n; i += 2) {
    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;
}

void Main() {
  ll N;
  cin >> N;
  auto v = factorize(N);
  ll ans = 0;
  int k = v.size();
  REP(i, k) {
    auto p = v[i];
    int n = p.second;
    REP(j, 30) {
      if (j + 1 <= n) {
        ans++;
        n -= j + 1;
      }
    }
  }
  cout << ans << en;
  return;
}

int main(void) {
  cin.tie(0);
  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(15);
  int t = 1; // cin>>t;
  REP(_, t) { Main(); }
  return 0;
}