結果

問題 No.1731 Product of Subsequence
ユーザー iiljjiiljj
提出日時 2021-11-05 22:57:55
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 700 ms / 2,000 ms
コード長 12,808 bytes
コンパイル時間 1,839 ms
コンパイル使用メモリ 153,096 KB
最終ジャッジ日時 2025-01-25 13:38:28
ジャッジサーバーID
(参考情報)
judge1 / judge5
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 * 4
other AC * 31
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

/* #region Head */
// #include <bits/stdc++.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert> // assert.h
#include <cmath> // math.h
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;
#define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i))
#define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i))
#define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i))
#define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d))
#define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d))
#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c) \
sort(ALL(c)); \
for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))
#define endl '\n'
constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;
template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector
for (T &x : vec) is >> x;
return is;
}
template <typename T> ostream &operator<<(ostream &os, const vc<T> &vec) { // vector (for dump)
os << "{";
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T> ostream &operator>>(ostream &os, const vc<T> &vec) { // vector (inline)
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
return os;
}
template <typename T, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array
REP(i, 0, SIZE(arr)) is >> arr[i];
return is;
}
template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array (for dump)
os << "{";
REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair
is >> pair_var.first >> pair_var.second;
return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &pair_var) { // pair
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map, um, set, us
template <class T> ostream &out_iter(ostream &os, const T &map_var) {
os << "{";
REPI(itr, map_var) {
os << *itr;
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &map_var) {
return out_iter(os, map_var);
}
template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) {
os << "{";
REPI(itr, map_var) {
auto [key, value] = *itr;
os << "(" << key << ", " << value << ")";
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const pq<T> &pq_var) {
pq<T> pq_cp(pq_var);
os << "{";
if (!pq_cp.empty()) {
os << pq_cp.top(), pq_cp.pop();
while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
}
return os << "}";
}
// tuple
template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) {
if constexpr (N < std::tuple_size_v<tuple<Args...>>) {
os << get<N>(a);
if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) {
os << ' ';
} else if constexpr (end_line) {
os << '\n';
}
return operator<<<N + 1, end_line>(os, a);
}
return os;
}
template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<<<0, true>(cout, a); }
void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail) > 0) cout << ' ';
pprint(move(tail)...);
}
// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&...tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(move(tail)...);
}
// chmax ()
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
if (comp(xmax, x)) {
xmax = x;
return true;
}
return false;
}
// chmin ()
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
if (comp(x, xmin)) {
xmin = x;
return true;
}
return false;
}
//
#ifndef ONLINE_JUDGE
#define DEBUG_
#endif
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
#define VAR(type, ...) \
type __VA_ARGS__; \
cin >> __VA_ARGS__;
template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }
struct AtCoderInitialize {
static constexpr int IOS_PREC = 15;
static constexpr bool AUTOFLUSH = false;
AtCoderInitialize() {
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
cout << fixed << setprecision(IOS_PREC);
if (AUTOFLUSH) cout << unitbuf;
}
} ATCODER_INITIALIZE;
void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }
/* #endregion */
// #include <atcoder/all>
// using namespace atcoder;
/* #region pfd */
// 使
// O(sqrt n)
map<ll, ll> pfd(ll n) {
// ★ 使
if (n <= 1) return map<ll, ll>();
// if (n <= 1) return map<ll, ll>({{n, 1}});
map<ll, ll> ans;
for (ll i = 2; i * i <= n; i++) {
while (n % i == 0) {
ans[i]++;
n /= i;
}
}
if (n != 1) ans[n]++;
return ans;
}
/* #endregion */
/* #region mint */
// MOD
struct mint {
ll x;
mint(ll x = 0) : x((x % MOD + MOD) % MOD) {}
mint &operator+=(const mint a) {
if ((x += a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator-=(const mint a) {
if ((x += MOD - a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator*=(const mint a) {
(x *= a.x) %= MOD;
return *this;
}
mint operator+(const mint a) const {
mint res(*this);
return res += a;
}
mint operator-(const mint a) const {
mint res(*this);
return res -= a;
}
mint operator*(const mint a) const {
mint res(*this);
return res *= a;
}
// O(log(t))
mint pow_rec(ll t) const {
if (!t) return 1;
mint a = pow(t >> 1); // ⌊t/2⌋
a *= a; // ⌊t/2⌋*2
if (t & 1) // ⌊t/2⌋*2 == t-1
a *= *this; // ⌊t/2⌋*2+1 => t
return a;
}
mint pow(ll t) const {
mint a(*this);
mint res = 1;
while (t) {
if (t & 1) res *= a;
t >>= 1, a *= a;
}
return res;
}
// for prime mod
mint inv_prime() const {
return pow(MOD - 2); // x^(-1) ≡ x^(p-2)
}
mint inv() const {
ll a = this->x, b = MOD, u = 1, v = 0, t;
mint res;
while (b) {
t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
if (u < 0) u += MOD;
res = u;
return res;
}
mint &operator/=(const mint a) { return (*this) *= a.inv(); }
mint operator/(const mint a) const {
mint res(*this);
return res /= a;
}
bool operator==(const mint a) const { return this->x == a.x; }
bool operator==(const ll a) const { return this->x == a; }
bool operator!=(const mint a) const { return this->x != a.x; }
bool operator!=(const ll a) const { return this->x != a; }
// mint
friend istream &operator>>(istream &is, mint &x) {
is >> x.x;
return is;
}
// mint
friend ostream &operator<<(ostream &os, const mint x) {
os << x.x;
return os;
}
};
/* #endregion */
// Problem
void solve() {
VAR(ll, n, k);
vll a(n); //
cin >> a;
if (k == 1) {
pprint(mint(2).pow(n) - 1);
return;
}
map<ll, ll> k_pfd = pfd(k); // k
vll primes, exps;
map<ll, ll> prime2idx;
for (auto [p, e] : k_pfd) {
prime2idx[p] = SIZE(primes);
primes.push_back(p);
exps.push_back(e);
}
ll sz = SIZE(primes);
// dp[] := a[i]
map<vll, mint> dp;
vll key(sz, 0);
dp[key] = 1;
vll divcnt(sz);
// dump(dp);
for (ll ai : a) {
// dump(ai);
// 調
fill(ALL(divcnt), 0);
REP(i, 0, sz) {
ll p = primes[i];
// dump(ai, p);
while (ai % p == 0) {
ai /= p;
divcnt[i]++;
}
}
// exps
map<vll, mint> dp2 = dp;
for (auto [old_divcnt, val] : dp) {
vll newkey = old_divcnt;
REP(i, 0, sz) {
newkey[i] = min(exps[i], newkey[i] + divcnt[i]); //
}
dp2[newkey] += val;
}
swap(dp, dp2);
// dump(dp);
}
pprint(dp[exps]);
}
// entry point
int main() {
solve();
return 0;
}
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