#660121 (C++17) No.1419 Power Moves

提出ソース

結果

問題	No.1419 Power Moves
ユーザー	tkmst201
提出日時	2021-05-23 20:45:22
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	14 ms / 2,000 ms
コード長	4,265 bytes
コンパイル時間	2,135 ms
コンパイル使用メモリ	197,616 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-04-20 06:14:41
合計ジャッジ時間	4,313 ms
ジャッジサーバーID （参考情報）	judge5 / 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	1 ms 6,816 KB
testcase_01	AC	2 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	0 ms 6,940 KB
testcase_07	AC	1 ms 6,944 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	10 ms 6,940 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	3 ms 6,944 KB
testcase_12	AC	11 ms 6,944 KB
testcase_13	AC	10 ms 6,944 KB
testcase_14	AC	11 ms 6,940 KB
testcase_15	AC	12 ms 6,940 KB
testcase_16	AC	11 ms 6,944 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	2 ms 6,940 KB
testcase_19	AC	2 ms 6,944 KB
testcase_20	AC	14 ms 6,940 KB
testcase_21	AC	13 ms 6,940 KB
testcase_22	AC	13 ms 6,944 KB
testcase_23	AC	12 ms 6,940 KB
testcase_24	AC	11 ms 6,944 KB
testcase_25	AC	13 ms 6,944 KB
testcase_26	AC	13 ms 6,940 KB
testcase_27	AC	11 ms 6,940 KB
testcase_28	AC	11 ms 6,944 KB
testcase_29	AC	11 ms 6,940 KB
testcase_30	AC	13 ms 6,944 KB
testcase_31	AC	13 ms 6,944 KB
testcase_32	AC	11 ms 6,944 KB
testcase_33	AC	11 ms 6,940 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) begin(v),end(v)
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
using ll = long long;
using pii = pair<int, int>;
constexpr ll INF = 1ll<<30;
constexpr ll longINF = 1ll<<60;
constexpr ll MOD = 1000000007;
constexpr bool debug = false;
//---------------------------------//

namespace tk {
template<typename T>
T mod_pow(T x, T n, const T & mod) {
	assert(mod > 0);
	assert(n >= 0);
	x = (x % mod + mod) % mod;
	T res = 1 % mod;
	while (n > 0) {
		if (n & 1) res = res * x % mod;
		x = x * x % mod;
		n >>= 1;
	}
	return res;
}
} // namespace tk

/**
 * @brief https://tkmst201.github.io/Library/Mathematics/ModInt.hpp
 */
template<int M>
struct ModInt {
	static_assert(M > 0);
	
	using value_type = int;
	using calc_type = std::int_fast64_t;
	
private:
	value_type val_;
	
public:
	constexpr ModInt(calc_type val = 0) : val_(val < 0 ? (val % M + M) % M : val % M) {}
	constexpr value_type val() const noexcept { return val_; }
	constexpr static decltype(M) mod() noexcept { return M; }
	
	explicit constexpr operator bool() const noexcept { return val_; }
	constexpr bool operator !() const noexcept { return !static_cast<bool>(*this); }
	constexpr ModInt operator +() const noexcept { return *this; }
	constexpr ModInt operator -() const noexcept { return ModInt(-val_); }
	constexpr ModInt operator ++(int) noexcept { ModInt res = *this; ++*this; return res; }
	constexpr ModInt operator --(int) noexcept { ModInt res = *this; --*this; return res; }
	constexpr ModInt & operator ++() noexcept { val_ = val_ + 1 == M ? 0 : val_ + 1; return *this; }
	constexpr ModInt & operator --() noexcept { val_ = val_ == 0 ? M - 1 : val_ - 1; return *this; }
	constexpr ModInt & operator +=(const ModInt & rhs) noexcept { val_ += val_ < M - rhs.val_ ? rhs.val_ : rhs.val_ - M; return *this; }
	constexpr ModInt & operator -=(const ModInt & rhs) noexcept { val_ += val_ >= rhs.val_ ? -rhs.val_ : M - rhs.val_; return *this; }
	constexpr ModInt & operator *=(const ModInt & rhs) noexcept { val_ = static_cast<calc_type>(val_) * rhs.val_ % M; return *this; }
	constexpr ModInt & operator /=(const ModInt & rhs) noexcept { return *this *= rhs.inv(); }
	friend constexpr ModInt operator +(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) += rhs; }
	friend constexpr ModInt operator -(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) -= rhs; }
	friend constexpr ModInt operator *(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) *= rhs; }
	friend constexpr ModInt operator /(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) /= rhs; }
	friend constexpr bool operator ==(const ModInt & lhs, const ModInt & rhs) noexcept { return lhs.val_ == rhs.val_; }
	friend constexpr bool operator !=(const ModInt & lhs, const ModInt & rhs) noexcept { return !(lhs == rhs); }
	friend std::ostream & operator <<(std::ostream & os, const ModInt & rhs) { return os << rhs.val_; }
	friend std::istream & operator >>(std::istream & is, ModInt & rhs) { calc_type x; is >> x; rhs = ModInt(x); return is; }
	
	constexpr ModInt pow(calc_type n) const noexcept {
		ModInt res = 1, x = val_;
		if (n < 0) { x = x.inv(); n = -n; }
		while (n) { if (n & 1) res *= x; x *= x; n >>= 1; }
		return res;
	}
	
	constexpr ModInt inv() const noexcept {
		value_type a = val_, a1 = 1, b = M, b1 = 0;
		while (b > 0) {
			value_type q = a / b, r = a % b;
			value_type nb1 = a1 - q * b1;
			a = b; b = r;
			a1 = b1; b1 = nb1;
		}
		assert(a == 1);
		return a1;
	}
};
using mint = ModInt<MOD>;

int main() {
	int N, K;
	cin >> N >> K;
	
	const int m = tk::mod_pow<ll>(2, K, N);
	const int st = (N - (m + N - 1) % N) % N;
	
	mint l = (mint(2).pow(K) - m) / N;
	
	vector<mint> ans(N);
	for (int i = 0, s = st; i < N; ++i, s = (s + 2) % N) ans[s] += l;
	for (int i = 0, s = st; i < m; ++i, s = (s + 2) % N) ++ans[s];
	
	const mint p = mint(2).pow(K).inv();
	REP(i, N) printf("%d\n", (ans[i] * p).val());
}

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ソースコード