結果

問題 No.2211 Frequency Table of GCD
ユーザー siro53siro53
提出日時 2023-02-10 21:41:31
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 386 ms / 2,000 ms
コード長 4,854 bytes
コンパイル時間 2,000 ms
コンパイル使用メモリ 201,944 KB
最終ジャッジ日時 2025-02-10 12:25:20
ジャッジサーバーID
(参考情報)
judge3 / judge4
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ファイルパターン 結果
sample AC * 3
other AC * 26
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

#line 1 "combined.cpp"
#pragma region Macros
#include <bits/stdc++.h>
using namespace std;
template <class T> inline bool chmax(T &a, T b) {
if(a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> inline bool chmin(T &a, T b) {
if(a > b) {
a = b;
return 1;
}
return 0;
}
#ifdef DEBUG
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {
os << '{';
for(int i = 0; i < (int)v.size(); i++) {
if(i) { os << ','; }
os << v[i];
}
os << '}';
return os;
}
void debugg() { cerr << endl; }
template <class T, class... Args>
void debugg(const T &x, const Args &... args) {
cerr << " " << x;
debugg(args...);
}
#define debug(...) \
cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct Setup {
Setup() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
}
} __Setup;
using ll = long long;
#define OVERLOAD3(_1, _2, _3, name, ...) name
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define REP1(i, n) for(int i = 0; i < int(n); i++)
#define REP2(i, a, b) for(int i = (a); i < int(b); i++)
#define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__)
#define UNIQUE(v) sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end())
#define SZ(v) ((int)(v).size())
const int INF = 1 << 30;
const ll LLINF = 1LL << 60;
constexpr int MOD = 1000000007;
constexpr int MOD2 = 998244353;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
void Case(int i) { cout << "Case #" << i << ": "; }
int popcount(int x) { return __builtin_popcount(x); }
ll popcount(ll x) { return __builtin_popcountll(x); }
#pragma endregion Macros
#line 1 "/Users/cbiolab/kyo-pro/compro_library/math/divisor.hpp"
template<class T>
vector<T> divisor(T n) {
vector<T> ret;
for(T i = 1; i * i <= n; i++) {
if(n % i == 0) {
ret.push_back(i);
if(i * i != n)
ret.push_back(n / i);
}
}
sort(begin(ret), end(ret));
return (ret);
}
#line 1 "/Users/cbiolab/kyo-pro/compro_library/math/modint.hpp"
template <int mod> struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if((x += p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if((x += mod - p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int)(1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inv();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inv() const {
int a = x, b = mod, u = 1, v = 0, t;
while(b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while(n > 0) {
if(n & 1)
ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt<mod>(t);
return (is);
}
static int get_mod() { return mod; }
};
#line 78 "combined.cpp"
using mint = ModInt<MOD2>;
int main() {
int N, M;
cin >> N >> M;
vector<int> a(N);
REP(i, N) cin >> a[i];
vector<int> cnt(M+1, 0);
REP(i, N) {
auto divs = divisor<int>(a[i]);
for(int d : divs) cnt[d]++;
}
vector<mint> ans(M+1, 0);
for(int k = M; k >= 1; k--) {
ans[k] = mint(2).pow(cnt[k]) - 1;
for(int i = 2*k; i <= M; i += k) {
ans[k] -= ans[i];
}
}
REP(k, 1, M+1) cout << ans[k] << '\n';
}
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