Problem p03241 (C++)

Buggy submission (status: Time Limit Exceeded):
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
template <class S, class T>
ostream &operator<<(ostream &out, const pair<S, T> &o) {
  out << "(" << o.first << "," << o.second << ")";
  return out;
}
template <class T> ostream &operator<<(ostream &out, const vector<T> V) {
  for (int i = 0; i < V.size(); i++) {
    out << V[i];
    if (i != V.size() - 1)
      out << " ";
  }
  return out;
}
template <class T>
ostream &operator<<(ostream &out, const vector<vector<T>> Mat) {
  for (int i = 0; i < Mat.size(); i++) {
    if (i != 0)
      out << endl;
    out << Mat[i];
  }
  return out;
}
template <class S, class T>
ostream &operator<<(ostream &out, const map<S, T> mp) {
  out << "{ ";
  for (auto it = mp.begin(); it != mp.end(); it++) {
    out << it->first << ":" << it->second;
    if (mp.size() - 1 != distance(mp.begin(), it))
      out << ", ";
  }
  out << " }";
  return out;
}

/*
 <url:https://atcoder.jp/contests/abc112/tasks/abc112_d>
 問題文============================================================
 =================================================================
 解説=============================================================
 ================================================================
 */

template <class Type> Type solve(Type res = Type()) {
  ll N, M;
  cin >> N >> M;
  for (ll i = 1; i * N <= M; i++) {
    if ((M - i * (N - 1)) % i == 0)
      res = i;
  }
  return res;
}
int main(void) {
  cin.tie(0);
  ios_base::sync_with_stdio(false);
  // solve(0);
  cout << fixed << setprecision(15) << solve<ll>() << endl;
  return 0;
}


Fixed submission:
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
template <class S, class T>
ostream &operator<<(ostream &out, const pair<S, T> &o) {
  out << "(" << o.first << "," << o.second << ")";
  return out;
}
template <class T> ostream &operator<<(ostream &out, const vector<T> V) {
  for (int i = 0; i < V.size(); i++) {
    out << V[i];
    if (i != V.size() - 1)
      out << " ";
  }
  return out;
}
template <class T>
ostream &operator<<(ostream &out, const vector<vector<T>> Mat) {
  for (int i = 0; i < Mat.size(); i++) {
    if (i != 0)
      out << endl;
    out << Mat[i];
  }
  return out;
}
template <class S, class T>
ostream &operator<<(ostream &out, const map<S, T> mp) {
  out << "{ ";
  for (auto it = mp.begin(); it != mp.end(); it++) {
    out << it->first << ":" << it->second;
    if (mp.size() - 1 != distance(mp.begin(), it))
      out << ", ";
  }
  out << " }";
  return out;
}

/*
 <url:https://atcoder.jp/contests/abc112/tasks/abc112_d>
 問題文============================================================
 =================================================================
 解説=============================================================
 ================================================================
 */

template <class Type> Type solve(Type res = Type()) {
  ll N, M;
  cin >> N >> M;
  if (N == 1)
    return M;
  for (ll i = 1; i * N <= M; i++) {
    if ((M - i * (N - 1)) % i == 0)
      res = i;
  }
  return res;
}
int main(void) {
  cin.tie(0);
  ios_base::sync_with_stdio(false);
  // solve(0);
  cout << fixed << setprecision(15) << solve<ll>() << endl;
  return 0;
}