結果

問題 No.103 素因数ゲーム リターンズ
コンテスト
ユーザー HEXAebmr
提出日時 2021-02-11 12:55:50
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2 ms / 5,000 ms
コード長 4,478 bytes
コンパイル時間 1,510 ms
コンパイル使用メモリ 147,104 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-18 02:03:50
合計ジャッジ時間 2,341 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 20
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function 'll dfs(ll, std::map<long long int, long long int>)':
main.cpp:159:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17' [-Wc++17-extensions]
  159 |   for (auto [A, B] : K) {
      |             ^

ソースコード

diff # 

#include <algorithm>
//#include <atcoder/all>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdint>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <queue>
#include <random>
#include <regex>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
//using namespace atcoder;
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;
using vvvll = vector<vector<vector<ll>>>;
using vii = vector<int>;
using vvii = vector<vector<int>>;
using vvvii = vector<vector<vector<int>>>;
using vdd = vector<ld>;
using vvdd = vector<vector<ld>>;
using vvvdd = vector<vector<vector<ld>>>;
using vbb = vector<bool>;
using vvbb = vector<vector<bool>>;
using vvvbb = vector<vector<vector<bool>>>;
using vpll = vector<pll>;
using vvpll = vector<vector<pll>>;
using vvvpll = vector<vector<vector<pll>>>;
#define pb push_back
#define mp make_pair
#define sc second
#define fr first
#define endl '\n'
#define stpr std::fixed << setprecision
#define cYES cout << "YES" << endl
#define cNO cout << "NO" << endl
#define cYes cout << "Yes" << endl
#define cNo cout << "No" << endl
#define rep(i, n) for (ll i = 0; i < (n); ++i)
#define drep(i, a, b, d) for (ll i = (a); i <= (b); i += d)
#define Rep(i, a, b) for (ll i = (a); i < (b); ++i)
#define rrep(i, n) for (ll i = n - 1; i >= 0; i--)
#define drrep(i, a, b, d) for (ll i = (a); i >= (b); i -= d)
#define rRep(i, a, b) for (ll i = a; i >= b; i--)
#define crep(i) for (char i = 'a'; i <= 'z'; ++i)
#define Crep(i) for (char i = 'A'; i <= 'Z'; ++i)
#define ALL(x) (x).begin(), (x).end()
#define rALL(x) (x).rbegin(), (x).rend()
#define sort2(A, N) \
  sort(A, A + N,    \
       [](const pii &a, const pii &b) { return a.second < b.second; });
#define debug(v)      \
  cout << #v << ":";  \
  for (auto x : v) {  \
    cout << x << ' '; \
  }                   \
  cout << endl;
int ctoi(const char c) {
  if ('0' <= c && c <= '9') return (c - '0');
  return -1;
}
ll gcd(ll a, ll b) { return (b == 0 ? a : gcd(b, a % b)); }
ll lcm(ll a, ll b) { return a * b / gcd(a, b); }
constexpr ll MOD = 1000000007;
constexpr ll INF = 1000000011;
constexpr ll MOD2 = 998244353;
constexpr ll LINF = 1001002003004005006ll;
constexpr ld EPS = 10e-10;
template <class T, class U>
inline bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
template <class T, class U>
inline bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) {
    lhs = rhs;
    return 1;
  }
  return 0;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &&x : v) is >> x;
  return is;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first;
  is >> p.second;
  return is;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << ' ' << p.second;
  return os;
}
template <class T>
ostream &operator<<(ostream &os, vector<T> &v) {
  for (auto i = begin(v); i != end(v); ++i) {
    if (i != begin(v)) os << ' ';
    os << *i;
  }
  return os;
}

// mapで返す
map<long long, long long> Prime_factorization(ll N) {
  map<long long, long long> primefact;
  for (int i = 2; i * i <= N; i++) {
    ll count = 0;
    while (N % i == 0) {
      count += 1;
      N /= i;
    }
    if (count > 0) {
      primefact[i] = count;
    }
  }
  if (N > 1) {
    primefact[N]++;
  }
  return primefact;
}

map<ll, ll> grundy;

ll dfs(ll X, map<ll, ll> K) {
  if (X == 1) {
    grundy[X] = 0;
    return 0;
  }
  if (grundy.find(X) != grundy.end()) {
    return grundy[X];
  }
  set<ll> S;
  for (auto [A, B] : K) {
    if (B > 0) {
      K[A]--;
      S.insert(dfs(X / A, K));
      K[A]++;
    }
    if (B > 1) {
      K[A] -= 2;
      S.insert(dfs(X / A / A, K));
      K[A] += 2;
    }
  }
  ll key = 0;
  while (1) {
    if (S.find(key) == S.end()) {
      grundy[X] = key;
      return key;
    }
    key++;
  }
}

int main() {
  ll N;
  cin >> N;
  vll A(N);
  cin >> A;
  ll ans = 0;
  rep(i, N) {
    auto M = Prime_factorization(A[i]);
    ans ^= dfs(A[i], M);
  }
  if (ans) {
    cout << "Alice" << endl;
  } else {
    cout << "Bob" << endl;
  }
}
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