結果
| 問題 | No.2 素因数ゲーム |
| コンテスト | |
| ユーザー |
 Shuz*
|
| 提出日時 | 2019-07-22 16:02:54 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 3 ms / 5,000 ms |
| コード長 | 7,347 bytes |
| コンパイル時間 | 2,629 ms |
| コンパイル使用メモリ | 197,716 KB |
| 実行使用メモリ | 6,944 KB |
| 最終ジャッジ日時 | 2024-06-23 18:36:46 |
| 合計ジャッジ時間 | 3,424 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 31 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
const ll dx[4] = {1, 0, -1, 0};
const ll dy[4] = {0, 1, 0, -1};
const ll MOD = 1e9 + 7;
const ll mod = 998244353;
const ll inf = 1 << 30;
const ll LINF = LONG_MAX;
const ll INF = 1LL << 60;
const ull MAX = ULONG_MAX;
#define mp make_pair
#define pb push_back
#define elif else if
#define endl '\n'
#define space ' '
#define def inline auto
#define func inline constexpr ll
#define run(a) __attribute__((constructor)) def _##a()
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define input(a) scanf("%lld", &(a))
#define print(a) printf("%lld\n", (a))
#define fi first
#define se second
#define ok(a, b) (0 <= (a) && (a) < (b))
#define modulo(a, b) ((a % b + b) % b)
template <class T> using vvector = vector<vector<T>>;
template <class T> using pvector = vector<pair<T, T>>;
template <class T>
using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
// Debug
#define debug(...) \
{ \
cerr << __LINE__ << ": " << #__VA_ARGS__ << " = "; \
for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] "; \
cerr << endl; \
}
#define dump(a, h, w) \
{ \
cerr << __LINE__ << ": " << #a << " = [" << endl; \
rep(__i, h) { \
rep(__j, w) cerr << a[__i][__j] << space; \
cerr << endl; \
} \
cerr << "]" << endl; \
}
#define vdump(a, n) \
{ \
cerr << __LINE__ << ": " << #a << " = ["; \
rep(__i, n) if (__i) cerr << space << a[__i]; \
else cerr << a[__i]; \
cerr << "]" << endl; \
}
// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)
#define loop() for (;;)
// Stream
#define fout(n) cout << fixed << setprecision(n)
#define fasten cin.tie(0), ios::sync_with_stdio(0)
run(0) { fasten, fout(10); }
// Speed
#pragma GCC optimize("O3")
#pragma GCC target("avx")
// Math
func gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
func lcm(ll a, ll b) { return a * b / gcd(a, b); }
func sign(ll a) { return a ? abs(a) / a : 0; }
struct Factorize {
#define MAXL (50000 >> 5) + 1
#define GET(x) (mark[x >> 5] >> (x & 31) & 1)
#define SET(x) (mark[x >> 5] |= 1 << (x & 31))
int mark[MAXL];
int P[50000], Pt = 0;
void sieve() {
int i, j, k;
SET(1);
int n = 46340;
for (i = 2; i <= n; i++) {
if (!GET(i)) {
for (k = n / i, j = i * k; k >= i; k--, j -= i) SET(j);
P[Pt++] = i;
}
}
}
ll mul(ull a, ull b, ull mod) {
ll ret = 0;
for (a %= mod, b %= mod; b != 0;
b >>= 1, a <<= 1, a = a >= mod ? a - mod : a) {
if (b & 1) {
ret += a;
if (ret >= mod) ret -= mod;
}
}
return ret;
}
void exgcd(ll x, ll y, ll &g, ll &a, ll &b) {
if (y == 0)
g = x, a = 1, b = 0;
else
exgcd(y, x % y, g, b, a), b -= (x / y) * a;
}
ll llgcd(ll x, ll y) {
if (x < 0) x = -x;
if (y < 0) y = -y;
if (!x || !y) return x + y;
ll t;
while (x % y) t = x, x = y, y = t % y;
return y;
}
ll inverse(ll x, ll p) {
ll g, b, r;
exgcd(x, p, g, r, b);
if (g < 0) r = -r;
return (r % p + p) % p;
}
ll mpow(ll x, ll y, ll mod) { // mod < 2^32
ll ret = 1;
while (y) {
if (y & 1) ret = (ret * x) % mod;
y >>= 1, x = (x * x) % mod;
}
return ret % mod;
}
ll mpow2(ll x, ll y, ll mod) {
ll ret = 1;
while (y) {
if (y & 1) ret = mul(ret, x, mod);
y >>= 1, x = mul(x, x, mod);
}
return ret % mod;
}
int isPrime(ll p) { // implements by miller-babin
if (p < 2 || !(p & 1)) return 0;
if (p == 2) return 1;
ll q = p - 1, a, t;
int k = 0, b = 0;
while (!(q & 1)) q >>= 1, k++;
for (int it = 0; it < 2; it++) {
a = rand() % (p - 4) + 2;
t = mpow2(a, q, p);
b = (t == 1) || (t == p - 1);
for (int i = 1; i < k && !b; i++) {
t = mul(t, t, p);
if (t == p - 1) b = 1;
}
if (b == 0) return 0;
}
return 1;
}
ll pollard_rho(ll n, ll c) {
ll x = 2, y = 2, i = 1, k = 2, d;
while (true) {
x = (mul(x, x, n) + c);
if (x >= n) x -= n;
d = llgcd(x - y, n);
if (d > 1) return d;
if (++i == k) y = x, k <<= 1;
}
return n;
}
void factorize(int n, vector<ll> &f) {
for (int i = 0; i < Pt && P[i] * P[i] <= n; i++) {
if (n % P[i] == 0) {
while (n % P[i] == 0) f.push_back(P[i]), n /= P[i];
}
}
if (n != 1) f.push_back(n);
}
void llfactorize(ll n, vector<ll> &f) {
if (n == 1) return;
if (n < 2e+9) {
factorize(n, f);
return;
}
if (isPrime(n)) {
f.push_back(n);
return;
}
ll d = n;
for (int i = 2; d == n; i++) d = pollard_rho(n, i);
llfactorize(d, f);
llfactorize(n / d, f);
}
vector<ll> factors(ll n) {
vector<ll> f;
map<ll, int> r;
llfactorize(n, f);
for (auto &x : f) r[x]++;
vector<ll> ret;
for (auto it = r.begin(); it != r.end(); it++) {
for (int i = 0; i < it->second; i++) ret.push_back(it->first);
}
return ret;
}
vector<ll> factorize(ll n) {
sieve();
return factors(n);
}
};
signed main() {
ll N, res = 0;
cin >> N;
Factorize F;
vector<ll> A = F.factorize(N);
map<ll, ll> M;
rep(i, A.size()) M[A[i]]++;
each(i, M) res ^= i.se;
cout << (res ? "Alice" : "Bob") << endl;
}