結果

問題 No.1203 お菓子ゲーム
ユーザー opt
提出日時 2020-08-29 00:46:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 542 ms / 2,000 ms
コード長 3,997 bytes
コンパイル時間 2,718 ms
コンパイル使用メモリ 202,668 KB
最終ジャッジ日時 2025-01-13 19:51:46
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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ファイルパターン 結果
other AC * 51
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define rep2(i, m, n) for (int i = (m); i < (n); ++i)
#define rep(i, n) rep2(i, 0, n)
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define all(a) (a).begin(), (a).end()
template<typename T = int> using V = vector<T>;
template<typename T = int> using P = pair<T, T>;
using Vi = V<int>;
using Vl = V<ll>;
using Vd = V<ld>;
using Vb = V<bool>;
using VVi = V<Vi>;
using VVl = V<Vl>;
using VVb = V<Vb>;
using Pi = P<int>;
using Pl = P<ll>;
using Pd = P<ld>;
template<typename T> vector<T> make_vec(size_t n, T a) { return vector<T>(n, a); }
template<typename... Ts> auto make_vec(size_t n, Ts... ts) { return vector<decltype(make_vec(ts...))>(n, make_vec(ts...)); }
template<typename T> inline int sz(T &x) { return x.size(); }
template<typename T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; }
template<typename T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; }
template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { os << '(' << p.first << ", " << p.second << ')'; return 
    os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &e : v) is >> e; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<typename T> inline int count_between(vector<T> &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r)
inline int fLog2(const ll x) { assert(x > 0); return 63-__builtin_clzll(x); } // floor(log2(x))
inline int cLog2(const ll x) { assert(x > 0); return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } // ceil(log2(x))
inline int popcount(const ll x) { return __builtin_popcountll(x); }
inline void fail() { cout << -1 << '\n'; exit(0); }
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
// const int INF  = 1<<30;
// const ll INFll = 1ll<<60;
// const ld EPS   = 1e-10;
// const ld PI    = acos(-1.0);
// const int MOD  = int(1e9)+7;
// const int MOD  = 998244353;
struct Eratos {
  vector<int> primes, min_factor;
  vector<bool> isprime;
  Eratos(int MAX) : primes(), isprime(MAX+1, true), min_factor(MAX+1, -1) {
    isprime[0] = isprime[1] = false;
    min_factor[0] = 0, min_factor[1] = 1;
    for (int i = 2; i <= MAX; i++) {
      if (!isprime[i]) continue;
      primes.push_back(i);
      min_factor[i] = i;
      for (int j = i*2; j <= MAX; j += i) {
        isprime[j] = false;
        if (min_factor[j] == -1) min_factor[j] = i;
      }
    }
  }
  // prime factorization
  vector<pair<int,int>> factorize(int n) {
    vector<pair<int,int>> res;
    while (n != 1) {
      int prime = min_factor[n];
      int exp = 0;
      while (min_factor[n] == prime) { ++exp; n /= prime; }
      res.emplace_back(prime, exp);
    }
    return res;
  }
  // enumerate divisors
  vector<int> divisors(int n) {
    vector<int> res({1});
    auto pf = factorize(n);
    for (auto p : pf) {
      int k = res.size();
      for (int i = 0; i < k; ++i) {
        int v = 1;
        for (int j = 0; j < p.second; ++j) {
          v *= p.first;
          res.push_back(res[i] * v);
        }
      }
    }
    return res;
  }
};
Eratos er(int(1e7)+2);
ll solve(ll x, ll y) {
  auto dv = er.divisors(y);
  ll res = 0;
  for (ll b : dv) {
    if (b % 2 == 0) continue;
    ll z = y / b * (b*b-1);
    if (z % (2*x) != 0) continue;
    ll a = z / (2*x);
    if (1 <= b && b < a && a <= int(1e8)) ++res;
  }
  if (y > 2*x) res += int(1e8) / y;
  return res;
} 
int main() {
  int Q; cin >> Q;
  rep(_, Q) {
    int x, y; cin >> x >> y;
    int ans = solve(x, y) + solve(y-x, y);
    cout << ans << '\n';
  }
}
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