結果

問題 No.2326 Factorial to the Power of Factorial to the...
ユーザー 👑 AngrySadEight
提出日時 2023-05-28 13:43:29
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 16 ms / 2,000 ms
コード長 3,580 bytes
コンパイル時間 16,751 ms
コンパイル使用メモリ 259,452 KB
最終ジャッジ日時 2025-02-13 10:11:12
ジャッジサーバーID
(参考情報)
judge1 / judge2
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 * 2
other AC * 20
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

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <cmath>
#include <cassert>
#include <ctime>
#include <utility>
#include <random>
#include <tuple>
#include <bitset>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int,int>
#define pil pair<int,ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int,int>>
#define vpll vector<pair<ll,ll>>
#define vvpii vector<vector<pair<int,int>>>
#define vvpll vector<vector<pair<ll,ll>>>
template<typename T> void debug(T e){
cerr << e << endl;
}
template<typename T> void debug(vector<T> &v){
rep(i, v.size()){
cerr << v[i] << " ";
}
cerr << endl;
}
template<typename T> void debug(vector<vector<T>> &v){
rep(i, v.size()){
rep(j, v[i].size()){
cerr << v[i][j] << " ";
}
cerr << endl;
}
}
template<typename T> void debug(vector<pair<T, T>> &v){
rep(i,v.size()){
cerr << v[i].first << " " << v[i].second << endl;
}
}
template<typename T> void debug(set<T> &st){
for (auto itr = st.begin(); itr != st.end(); itr++){
cerr << *itr << " ";
}
cerr << endl;
}
template<typename T> void debug(multiset<T> &ms){
for (auto itr = ms.begin(); itr != ms.end(); itr++){
cerr << *itr << " ";
}
cerr << endl;
}
template<typename T> void debug(map<T, T> &mp){
for (auto itr = mp.begin(); itr != mp.end(); itr++){
cerr << itr->first << " " << itr->second << endl;
}
}
void debug_out(){
cerr << endl;
}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T){
cerr << H << " ";
debug_out(T...);
}
ll my_pow(ll x, ll n, ll mod){
// x^nmod
ll ret;
if (n == 0){
ret = 1;
}
else if (n % 2 == 1){
ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod;
}
else{
ret = my_pow((x * x) % mod, n / 2, mod);
}
return ret;
}
ll inv(ll x, ll mod){
return my_pow(x, mod - 2, mod);
}
int main(){
ll N, P;
cin >> N >> P;
vl fact1(N + 2, 0);
vl fact2(N + 2, 0);
fact1[0] = 1;
fact2[0] = 1;
for (ll i = 0; i <= N; i++){
fact1[i + 1] = (fact1[i] * (i + 1)) % mod1;
fact2[i + 1] = (fact2[i] * (i + 1)) % (mod1 - 1);
}
ll divs = 0;
ll num = P;
while (true){
if (num > N){
break;
}
divs += N / num;
num *= P;
}
if (fact1[N] == 0){
cout << 0 << endl;
return 0;
}
ll ans = divs % mod1;
ll times = my_pow(fact1[N], fact2[N], mod1);
cout << (ans * times) % mod1 << endl;
}
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