結果
| 問題 | No.1731 Product of Subsequence |
| ユーザー |
 satanic
|
| 提出日時 | 2021-11-05 22:00:28 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 1,062 ms / 2,000 ms |
| コード長 | 13,888 bytes |
| コンパイル時間 | 2,068 ms |
| コンパイル使用メモリ | 163,832 KB |
| 実行使用メモリ | 7,808 KB |
| 最終ジャッジ日時 | 2024-11-08 04:37:59 |
| 合計ジャッジ時間 | 13,356 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 979 ms
7,680 KB |
| testcase_01 | AC | 14 ms
7,424 KB |
| testcase_02 | AC | 15 ms
7,296 KB |
| testcase_03 | AC | 15 ms
7,168 KB |
| testcase_04 | AC | 14 ms
7,296 KB |
| testcase_05 | AC | 14 ms
7,296 KB |
| testcase_06 | AC | 14 ms
7,168 KB |
| testcase_07 | AC | 15 ms
7,296 KB |
| testcase_08 | AC | 45 ms
7,552 KB |
| testcase_09 | AC | 15 ms
7,296 KB |
| testcase_10 | AC | 1,055 ms
7,808 KB |
| testcase_11 | AC | 901 ms
7,680 KB |
| testcase_12 | AC | 16 ms
7,424 KB |
| testcase_13 | AC | 25 ms
7,424 KB |
| testcase_14 | AC | 874 ms
7,680 KB |
| testcase_15 | AC | 14 ms
7,296 KB |
| testcase_16 | AC | 15 ms
7,296 KB |
| testcase_17 | AC | 15 ms
7,296 KB |
| testcase_18 | AC | 877 ms
7,680 KB |
| testcase_19 | AC | 28 ms
7,424 KB |
| testcase_20 | AC | 714 ms
7,680 KB |
| testcase_21 | AC | 1,062 ms
7,808 KB |
| testcase_22 | AC | 17 ms
7,296 KB |
| testcase_23 | AC | 15 ms
7,424 KB |
| testcase_24 | AC | 29 ms
7,424 KB |
| testcase_25 | AC | 19 ms
7,552 KB |
| testcase_26 | AC | 176 ms
7,424 KB |
| testcase_27 | AC | 240 ms
7,552 KB |
| testcase_28 | AC | 504 ms
7,424 KB |
| testcase_29 | AC | 183 ms
7,544 KB |
| testcase_30 | AC | 965 ms
7,808 KB |
| testcase_31 | AC | 16 ms
7,424 KB |
| testcase_32 | AC | 14 ms
7,228 KB |
| testcase_33 | AC | 17 ms
7,424 KB |
| testcase_34 | AC | 65 ms
7,424 KB |
ソースコード
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// ?77WMMMYB""! _7"WWMMMY"7=
// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <cstring>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>
//std::ifstream ifs("AHC004/in/0001.txt");
//auto& scan_in = ifs;
auto& scan_in = std::cin;
auto& scan_out = std::cout;
// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { scan_in >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { scan_in >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { scan_in >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { scan_in >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)scan_in>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)scan_in>>w;
// output
template<typename T>void MACRO_OUT(const T t) { scan_out << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { scan_out << first << ' '; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) scan_out<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) scan_out<<std::setw(n)<<std::setfill(c)<<(dist);
#define VOUT(v) for(size_t i = 0; i < v.size(); ++i) {OUT(v[i]);if(i+1<v.size()){SP}}
#define EOUT(...) do{ OUT(__VA_ARGS__)BR; exit(0); }while(0);
#define SP scan_out<<' ';
#define TAB scan_out<<'\t';
#define BR scan_out<<'\n';
#define SPBR(w, n) scan_out<<(w + 1 == n ? '\n' : ' ');
#define ENDL scan_out<<std::endl;
#define FLUSH scan_out<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << '\n';}
// utility
#define ALL(a) (a).begin(),(a).end()
#define RALL(a) (a).rbegin(),(a).rend()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
#define FORC(w, a, n) for(char w=(a);w<(n);++w)
#define REPC(w, n) FORC(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline bool CHMAX(T& a, const T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool CHMIN(T& a, const T b) { if (a > b) { a = b; return true; } return false; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;
//
//std::ostream& operator<<(std::ostream& os, const __int128& t) {
// if (t >= 1000000000000000000) {
// os << (long long)(t / 1000000000000000000) << (long long)(t % 1000000000000000000);
// }
// else {
// os << (long long)t;
// }
// return os;
//}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::pair<S, T>& p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
os << '{';
for (size_t i = 0; i < v.size(); ++i) {
os << v[i];
if (i + 1 < v.size()) os << ',';
}
os << '}';
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream & os, const std::set<T> & v) {
os << '{';
for (auto it = v.cbegin(); it != v.cend();) {
os << *it << (++it == v.cend() ? '}' : ',');
}
return os;
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream & os, const std::map<S, T> & m) {
os << '{';
for (auto it = m.cbegin(); it != m.cend();) { os << it->first << ':' << it->second; ++it; os << (it != m.cend() ? ',' : '}'); }
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream & os, std::queue<T> q) {
os << '<';
while (!q.empty()) { os << q.front(); q.pop(); os << (q.empty() ? '<' : ','); }
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream & os, std::stack<T> q) {
os << '>';
while (!q.empty()) { os << q.top(); q.pop(); os << (q.empty() ? ']' : ','); }
return os;
}
namespace std {
template<typename S, typename T> class numeric_limits<pair<S, T>> {
public:
static constexpr pair<S, T> max() noexcept { return { numeric_limits<S>::max(), numeric_limits<T>::max() }; }
static constexpr pair<S, T> lowest() noexcept { return { numeric_limits<S>::lowest(), numeric_limits<T>::lowest() }; }
};
}
// type/const
using i64 = long long;
using u64 = unsigned long long;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9
constexpr long long INFLL = 1LL << 60; // 1.15x10^18
constexpr long long INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18
constexpr double EPS = 1e-6;
constexpr int MOD = 1000000007;
constexpr long double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------>8------------
class ModInt {
friend std::istream& operator>>(std::istream& is, ModInt& obj);
private:
inline ModInt& normUpper() { if (val >= MOD) val -= MOD; return *this; }
inline ModInt& normLower() { if (val < 0) val += MOD; return *this; }
inline ModInt& norm() { return normUpper(), normLower(); }
public:
constexpr static int numOfPrecalc = 1000006;
static ModInt inv[numOfPrecalc];
int val;
ModInt() : val(0) {}
ModInt(int n) : val(n) { if (n >= MOD || n <= -MOD) n %= MOD; norm(); }
ModInt(long long n) : ModInt((int)(n % MOD)) {}
ModInt& operator=(const ModInt & r) { val = r.val; return *this; }
ModInt operator+() const { return *this; }
ModInt operator-() const { return ModInt(MOD - val); }
ModInt& operator+=(const ModInt & r) { val += r.val; return normUpper(); }
ModInt& operator-=(const ModInt & r) { val -= r.val; return normLower(); }
ModInt& operator*=(const ModInt & r) { val = (long long)val * r.val % MOD; return *this; }
ModInt& operator/=(ModInt r) { return *this *= (r.val < numOfPrecalc) ? inv[r.val] : (r ^= MOD - 2); }
ModInt & operator^=(int p) {
ModInt t(*this); *this = 1;
for (; p; p >>= 1, t *= t) if (p & 1) * this *= t;
return *this;
}
const ModInt operator+(const ModInt & r) const { return ModInt(*this) += r; }
const ModInt operator-(const ModInt & r) const { return ModInt(*this) -= r; }
const ModInt operator*(const ModInt & r) const { return ModInt(*this) *= r; }
const ModInt operator/(const ModInt & r) const { return ModInt(*this) /= r; }
const ModInt operator^(int p) const { return ModInt(*this) ^= p; }
};
const ModInt operator+(long long l, const ModInt & r) { return ModInt(l) += r; }
const ModInt operator-(long long l, const ModInt & r) { return ModInt(l) -= r; }
const ModInt operator*(long long l, const ModInt & r) { return ModInt(l) *= r; }
const ModInt operator/(long long l, const ModInt & r) { return ModInt(l) /= r; }
const ModInt operator+(int l, const ModInt & r) { return ModInt(l) += r; }
const ModInt operator-(int l, const ModInt & r) { return ModInt(l) -= r; }
const ModInt operator*(int l, const ModInt & r) { return ModInt(l) *= r; }
const ModInt operator/(int l, const ModInt & r) { return ModInt(l) /= r; }
std::ostream& operator<<(std::ostream & os, const ModInt & obj) { return os << obj.val; }
/* friend */ std::istream& operator>>(std::istream & is, ModInt & obj) {
is >> obj.val; obj.norm();
return is;
}
ModInt ModInt::inv[ModInt::numOfPrecalc];
struct Init_ModInt {
Init_ModInt() {
ModInt::inv[1] = 1;
for (int i = 2; i < ModInt::numOfPrecalc; ++i) ModInt::inv[i] = (MOD - MOD / i) * ModInt::inv[MOD % i];
}
} _init_modint;
/** ModInt **/
std::vector<std::pair<ll, int>> primeFact(ll n) {
std::vector<std::pair<ll, int>> result;
for (ll i = 2; i * i <= n; ++i) {
int divCount = 0;
if (n % i == 0) {
do {
++divCount;
n /= i;
} while (n % i == 0);
result.emplace_back(i, divCount);
}
}
if (n != 1) result.emplace_back(n, 1);
return result;
}
signed main() {
INIT;
VAR(int, n, k);
VEC(i64, a, n);
if (k == 1) EOUT((ModInt(2) ^ n) - 1);
auto pf(primeFact(k));
V<int> ke;
REP(i, pf.size()) ke.emplace_back(pf[i].second);
VV<int> p(n);
REP(i, n) {
REP(j, pf.size()) {
int cnt = 0;
while (a[i] % pf[j].first == 0) {
++cnt;
a[i] /= pf[j].first;
}
p[i].emplace_back(cnt);
}
}
std::map<V<int>, ModInt> cur;
{
V<int> tmp(pf.size(), 0);
cur[tmp] = 1;
}
REP(i, n) {
std::map<V<int>, ModInt> nex;
for (auto x : cur) {
nex[x.first] += x.second;
V<int> v(x.first);
REP(j, pf.size()) {
v[j] += p[i][j];
CHMIN(v[j], pf[j].second);
}
nex[v] += x.second;
}
cur.swap(nex);
}
EOUT(cur[ke]);
return 0;
}