結果

問題 No.1035 Color Box
ユーザー ningenMeningenMe
提出日時 2019-02-27 00:15:21
言語 C++11
(gcc 11.4.0)
結果
AC  
実行時間 19 ms / 2,000 ms
コード長 3,340 bytes
コンパイル時間 1,840 ms
コンパイル使用メモリ 81,408 KB
実行使用メモリ 5,668 KB
最終ジャッジ日時 2023-09-05 09:08:59
合計ジャッジ時間 3,052 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge11
このコードへのチャレンジ（β）

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 19 ms
5,668 KB
testcase_01 AC 1 ms
4,384 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 3 ms
4,376 KB
testcase_04 AC 3 ms
4,376 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 17 ms
5,148 KB
testcase_09 AC 7 ms
4,380 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 1 ms
4,380 KB
testcase_13 AC 13 ms
4,592 KB
testcase_14 AC 15 ms
4,948 KB
testcase_15 AC 19 ms
5,404 KB
testcase_16 AC 1 ms
4,376 KB
testcase_17 AC 2 ms
4,376 KB
testcase_18 AC 2 ms
4,380 KB
testcase_19 AC 19 ms
5,472 KB
testcase_20 AC 2 ms
4,380 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 AC 1 ms
4,380 KB
testcase_23 AC 1 ms
4,376 KB
testcase_24 AC 2 ms
4,380 KB
testcase_25 AC 2 ms
4,376 KB
testcase_26 AC 1 ms
4,380 KB
testcase_27 AC 1 ms
4,380 KB
testcase_28 AC 2 ms
4,376 KB
testcase_29 AC 1 ms
4,380 KB
testcase_30 AC 2 ms
4,384 KB
testcase_31 AC 1 ms
4,380 KB
testcase_32 AC 2 ms
4,380 KB
testcase_33 AC 1 ms
4,380 KB
testcase_34 AC 2 ms
4,380 KB
testcase_35 AC 2 ms
4,384 KB
testcase_36 AC 2 ms
4,380 KB
testcase_37 AC 2 ms
4,380 KB
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 # 

#include <iostream>
#include <fstream>
#include <cmath>  
#include <cstdlib>
#include <ctime>
#include <algorithm>
#include <numeric>
#include <functional>
#include <string> 
#include <vector>
#include <bitset>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <deque>

using namespace std;
using ll = long long;

template<class T> using V = vector<T>;
template<class T, class U> using P = pair<T, U>;

#define REP(i,n) for(int i = 0; i < int(n); i++)
#define FOR(i, m, n) for(int i = int(m);i < int(n);i++)
#define ALL(obj) (obj).begin(),(obj).end()

const ll MOD = (ll)1e9 + 7;
const ll HINF = (ll)1e18;
const ll LINF = (ll)1e9;
const long double PI = 3.1415926535897932384626433;

template<class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl;exit(0);}else return;}
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}
template <class T> void chmax(T& a, const T b) { a = max<T>(a, b); }
template <class T> void chmin(T& a, const T b) { a = min<T>(a, b); }
void YN(bool flg) {cout << ((flg) ? "YES" : "NO") << endl;}
void Yn(bool flg) {cout << ((flg) ? "Yes" : "No") << endl;}
void yn(bool flg) {cout << ((flg) ? "yes" : "no") << endl;}

//Combination Mod
class Combination_Mod {
public:
	vector<long long> fac, finv, inv;
	long long MOD;

	Combination_Mod(int N, long long mod) : fac(vector<long long>(N + 1)), finv(vector<long long>(N + 1)), inv(vector<long long>(N + 1)), MOD(mod) {
		fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1;
		for (int i = 2; i <= N; ++i) {
			fac[i] = fac[i - 1] * i % MOD;
			inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
			finv[i] = finv[i - 1] * inv[i] % MOD;
		}
	}

	long long num(int n, int k) {
		return ((n < 0 || k < 0 || n < k) ? 0 : fac[n] * (finv[k] * finv[n - k] % MOD) % MOD);
	}
};

//Pow_Mod O(log(n))
long long Pow_Mod(long long x, long long n, long long mod) {
	long long res = 1;
	for (; n > 0; n >>= 1, (x *= x) %= mod) if (n & 1) (res *= x) %= mod;
	return res;
}

int main() {
	ll N, M; cin >> N >> M;

	Combination_Mod CM(M,MOD);
	ll ans = 0,sgn = 1;
	for(ll i = M; 1 <= i; --i){
		(ans += (MOD + sgn*( (CM.num(M, i)*Pow_Mod(i, N, MOD)) % MOD ) )%MOD ) %= MOD;
		sgn *= -1;
	}
	cout << ans << endl;


	return 0;
}
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