#233463 (C++14) No.644 G L C C D M

提出ソース

結果

問題	No.644 G L C C D M
ユーザー	satanic
提出日時	2018-02-02 22:18:08
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	18 ms / 2,000 ms
コード長	7,194 bytes
コンパイル時間	1,193 ms
コンパイル使用メモリ	116,652 KB
実行使用メモリ	12,220 KB
最終ジャッジ日時	2023-08-30 02:14:38
合計ジャッジ時間	2,674 ms
ジャッジサーバーID （参考情報）	judge15 / judge11

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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	15 ms 11,208 KB
testcase_01	AC	15 ms 11,192 KB
testcase_02	AC	15 ms 11,252 KB
testcase_03	AC	16 ms 11,188 KB
testcase_04	AC	15 ms 11,148 KB
testcase_05	AC	16 ms 11,204 KB
testcase_06	AC	16 ms 11,196 KB
testcase_07	AC	15 ms 11,392 KB
testcase_08	AC	15 ms 11,192 KB
testcase_09	AC	15 ms 11,336 KB
testcase_10	AC	16 ms 11,192 KB
testcase_11	AC	16 ms 11,424 KB
testcase_12	AC	15 ms 11,196 KB
testcase_13	AC	16 ms 11,500 KB
testcase_14	AC	16 ms 11,164 KB
testcase_15	AC	15 ms 11,272 KB
testcase_16	AC	16 ms 11,192 KB
testcase_17	AC	15 ms 11,340 KB
testcase_18	AC	16 ms 11,340 KB
testcase_19	AC	16 ms 11,400 KB
testcase_20	AC	16 ms 11,416 KB
testcase_21	AC	15 ms 11,188 KB
testcase_22	AC	18 ms 12,220 KB
testcase_23	AC	16 ms 11,544 KB
testcase_24	AC	16 ms 11,456 KB
testcase_25	AC	15 ms 11,156 KB
testcase_26	AC	15 ms 11,208 KB

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ソースコード

raw source code

// need
#include <iostream>
#include <algorithm>

// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
//#include <array>
//#include <unordered_map>
//#include <complex>
//#include <deque>
#include <valarray>

// stream
//#include <istream>
//#include <sstream>
//#include <ostream>
#include <fstream>

// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>

// 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) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i<n; ++i){MACRO_VEC_ROW_Scan(i, __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) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& r:c)for(auto& i:r)std::cin>>i;

// output
#define OUT(d) std::cout<<(d);
#define FOUT(n, d) std::cout<<std::fixed<<std::setprecision(n)<<(d);
#define SOUT(n, c, d) std::cout<<std::setw(n)<<std::setfill(c)<<(d);
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(i, n) std::cout<<(i + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(d) {std::cerr << #d << "\t:" << (d) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}

// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i)
#define REP(i, n) for(int i=0;i<int(n);++i)
#define RREP(i, n) for(int i=int(n)-1;i>=0;--i)
#define FORLL(i, a, b) for(ll i=ll(a);i<ll(b);++i)
#define RFORLL(i, a, b) for(ll i=ll(b)-1;i>=ll(a);--i)
#define REPLL(i, n) for(ll i=0;i<ll(n);++i)
#define RREPLL(i, n) for(ll i=ll(n)-1;i>=0;--i)
#define IN(a, x, b) (a<=x && x<b)
template<typename T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<typename T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
#define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]"
#define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;}
void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns  (" << res / (1.0e9) << "s)]\n"; }

// test
template<class T> std::vector<std::vector<T>> VV(int n, int m, T init = T()) {
	return std::vector<std::vector<T>>(n, std::vector<T>(m, init));
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const

#define int ll
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = 1 << 30;                          // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-9;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;

template<class T> struct CVECTOR {
	std::vector<T> cumsum;
	CVECTOR(const std::vector<T>& a) : cumsum(a.size() + 1, 0) {
		for (size_t i = 0; i < a.size(); ++i) cumsum[i + 1] = cumsum[i] + a[i];
	}
	T operator[](int idx) { return cumsum[idx + 1]; }
};
template<class T> CVECTOR<T> make_cvector(const std::vector<T>& a) {
	return CVECTOR<T>(a);
}
// ------------>8------------------------------------->8------------

ll gcd(ll a, ll b) {
	return b ? gcd(b, a%b) : a;
}
ll lcm(ll a, ll b) {
	return a / gcd(a, b) * b;
}

ll powMod(ll n, ll p, ll mod) {
	ll res = 1;
	while (p) {
		if (p & 1) res *= n, res %= mod;
		n *= n; n %= mod;
		p >>= 1;
	}
	return res;
}
ll invMod(ll n, ll mod) {
	return powMod(n, MOD - 2, MOD);
}

const signed FACT_MAX_N = 1000006;
signed fact[FACT_MAX_N];
signed factInv[FACT_MAX_N];
struct INIT_FACT {
	INIT_FACT() {
		fact[0] = 1;
		for (int i = 1; i < FACT_MAX_N; ++i) fact[i] = (long long)i * fact[i - 1] % MOD;
		factInv[FACT_MAX_N - 1] = powMod(fact[FACT_MAX_N - 1], MOD - 2, MOD);
		for (int i = FACT_MAX_N - 2; i >= 0; --i) factInv[i] = (long long)(i + 1) * factInv[i + 1] % MOD;
	}
} init_fact;

#if true // true if use MOD
/* n,r<=10^6, query O(1)*/
ll Permutation(int n, int r) {
	if (r == 0) return 1;
	if (n < r) return 0;
	return (long long)fact[n] * factInv[n - r] % MOD;
}
ll Combination(int n, int r) {
	if (r == 0) return 1;
	if (n < r) return 0;
	return (long long)fact[n] * factInv[n - r] % MOD * factInv[r] % MOD;
}
ll CombinationWithRepetition(ll n, ll r) {
	return Combination(n + r - 1, r);
}
/*n<=10^9, r<=10^5, query O(r)*/
/*ll Combination(ll n, ll r, ll mod) {
	if (n < r) return 0;
	ll ans = 1;
	if (n < 2 * r) r = n - r;
	for (int i = 1; i <= r; ++i) {
		ans *= n - i + 1; ans %= mod;
		ans *= powMod(i, mod - 2, mod); ans %= mod;
	}
	return ans;
}
ll Permutation(int n, int r, int mod) {
	return Combination(n, r, mod) * fact[r] % MOD;
}*/
#else // unuse MOD
const signed COMB_MAX_N = 67; // <- max : 67
long long comb[COMB_MAX_N][COMB_MAX_N];
struct INIT_COMB {
	INIT_COMB() {
		for (int i = 0; i < COMB_MAX_N; ++i) {
			for (int j = 0; j <= i; ++j) {
				if (j == 0 || j == i) comb[i][j] = 1;
				else comb[i][j] = comb[i - 1][j - 1] + comb[i - 1][j];
			}
		}
	}
} init_comb;
#endif

int dp[100005];

signed main() {
	INIT;

	VAR(int, n, m);
	int ans = fact[n - 2];
	n /= m;

	RFOR(i, 1, n + 1) {
		int t = n / i;
		dp[i] = t * (t - 1) % MOD;
		for (int j = i*2; j <= n; j += i) dp[i] -= dp[j];
		dp[i] %= MOD;
		if (dp[i] < 0) dp[i] += MOD;
	}

	(ans *= dp[1]) %= MOD;
	OUT(ans)BR;

	return 0;
}

yukicoder

結果

テストケース

ソースコード