#323108 (C++14) No.797 Noelちゃんとピラミッド

• 問題: No.797 Noelちゃんとピラミッド
• ユーザー: noshi91
• 提出日時: 2019-03-15 21:28:15
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 69 ms / 2,000 ms
• コード長: 6,007 bytes
• コンパイル時間: 673 ms
• コンパイル使用メモリ: 72,704 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-07-01 20:23:16
• 合計ジャッジ時間: 5,066 ms
• ジャッジサーバーID （参考情報）: judge2 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	67 ms; 5,376 KB
testcase_04	AC	68 ms; 5,376 KB
testcase_05	AC	69 ms; 5,376 KB
testcase_06	AC	68 ms; 5,376 KB
testcase_07	AC	68 ms; 5,376 KB
testcase_08	AC	68 ms; 5,376 KB
testcase_09	AC	66 ms; 5,376 KB
testcase_10	AC	68 ms; 5,376 KB
testcase_11	AC	67 ms; 5,376 KB
testcase_12	AC	67 ms; 5,376 KB
testcase_13	AC	67 ms; 5,376 KB
testcase_14	AC	68 ms; 5,376 KB
testcase_15	AC	68 ms; 5,376 KB
testcase_16	AC	68 ms; 5,376 KB
testcase_17	AC	67 ms; 5,376 KB
testcase_18	AC	67 ms; 5,376 KB
testcase_19	AC	67 ms; 5,376 KB
testcase_20	AC	68 ms; 5,376 KB
testcase_21	AC	67 ms; 5,376 KB
testcase_22	AC	67 ms; 5,376 KB
testcase_23	AC	49 ms; 5,376 KB
testcase_24	AC	17 ms; 5,376 KB
testcase_25	AC	41 ms; 5,376 KB
testcase_26	AC	39 ms; 5,376 KB
testcase_27	AC	66 ms; 5,376 KB
testcase_28	AC	60 ms; 5,376 KB
testcase_29	AC	10 ms; 5,376 KB
testcase_30	AC	16 ms; 5,376 KB
testcase_31	AC	49 ms; 5,376 KB
testcase_32	AC	22 ms; 5,376 KB
testcase_33	AC	41 ms; 5,376 KB
testcase_34	AC	29 ms; 5,376 KB
testcase_35	AC	67 ms; 5,376 KB
testcase_36	AC	9 ms; 5,376 KB
testcase_37	AC	59 ms; 5,376 KB
testcase_38	AC	63 ms; 5,376 KB
testcase_39	AC	40 ms; 5,376 KB
testcase_40	AC	9 ms; 5,376 KB
testcase_41	AC	13 ms; 5,376 KB
testcase_42	AC	39 ms; 5,376 KB
testcase_43	AC	2 ms; 5,376 KB
testcase_44	AC	2 ms; 5,376 KB
testcase_45	AC	2 ms; 5,376 KB
testcase_46	AC	2 ms; 5,376 KB
testcase_47	AC	2 ms; 5,376 KB
testcase_48	AC	2 ms; 5,376 KB
testcase_49	AC	2 ms; 5,376 KB
testcase_50	AC	2 ms; 5,376 KB
testcase_51	AC	2 ms; 5,376 KB
testcase_52	AC	2 ms; 5,376 KB
testcase_53	AC	2 ms; 5,376 KB
testcase_54	AC	2 ms; 5,376 KB
testcase_55	AC	2 ms; 5,376 KB
testcase_56	AC	2 ms; 5,376 KB
testcase_57	AC	2 ms; 5,376 KB
testcase_58	AC	2 ms; 5,376 KB
testcase_59	AC	2 ms; 5,376 KB
testcase_60	AC	2 ms; 5,376 KB
testcase_61	AC	2 ms; 5,376 KB
testcase_62	AC	2 ms; 5,376 KB

ソースコード

//#define NDEBUG
#include <cstddef>
#include <cstdint>
#include <vector>

namespace n91 {

	using i8 = std::int_least8_t;
	using i32 = std::int_least32_t;
	using i64 = std::int_least64_t;
	using u8 = std::uint_least8_t;
	using u32 = std::uint_least32_t;
	using u64 = std::uint_least64_t;
	using isize = std::ptrdiff_t;
	using usize = std::size_t;

	class rep {
		const usize f, l;

	public:
		class itr {
			friend rep;
			usize i;
			constexpr itr(const usize x) noexcept : i(x) {}

		public:
			void operator++() noexcept { ++i; }
			constexpr usize operator*() const noexcept { return i; }
			constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
		};
		constexpr rep(const usize first, const usize last) noexcept
			: f(first), l(last) {}
		constexpr itr begin() const noexcept { return itr(f); }
		constexpr itr end() const noexcept { return itr(l); }
	};
	class revrep {
		const usize f, l;

	public:
		class itr {
			friend revrep;
			usize i;
			constexpr itr(usize x) noexcept : i(x) {}

		public:
			void operator++() noexcept { --i; }
			constexpr usize operator*() const noexcept { return i; }
			constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
		};
		constexpr revrep(usize first, usize last) noexcept : f(--first), l(--last) {}
		constexpr itr begin() const noexcept { return itr(l); }
		constexpr itr end() const noexcept { return itr(f); }
	};
	template <class T> using vec_alias = std::vector<T>;
	template <class T> auto md_vec(const usize n, const T &value) {
		return std::vector<T>(n, value);
	}
	template <class... Args> auto md_vec(const usize n, Args... args) {
		return std::vector<decltype(md_vec(args...))>(n, md_vec(args...));
	}
	template <class T> constexpr T difference(const T &a, const T &b) {
		return a < b ? b - a : a - b;
	}

} // namespace n91

#include <algorithm>
#include <iostream>
#include <utility>

#include <cassert>
#include <cstdint>

namespace n91 {

	template <::std::uint_least32_t Modulus> class modint {
		using u32 = ::std::uint_least32_t;
		using u64 = ::std::uint_least64_t;
		using i64 = ::std::int_fast64_t;
		class optimize_tag_t {};
		static constexpr optimize_tag_t optimize_tag{};

	public:
		using value_type = u32;
		value_type a;

	private:
		static constexpr value_type cst(i64 x) noexcept {
			x %= static_cast<i64>(Modulus);
			if (x < static_cast<i64>(0)) {
				x += static_cast<i64>(Modulus);
			}
			return static_cast<value_type>(x);
		}

		constexpr modint(optimize_tag_t, const value_type &x) noexcept : a(x) {}

	public:
		constexpr modint() noexcept : a(static_cast<value_type>(0)) {}
		constexpr modint(const i64 &x) noexcept : a(cst(x)) {}
		constexpr value_type value() const noexcept { return a; }
		constexpr modint operator+(const modint &o) const noexcept {
			return modint(optimize_tag,
				a + o.a < Modulus ? a + o.a : a + o.a - Modulus);
		}
		constexpr modint operator-(const modint &o) const noexcept {
			return modint(optimize_tag, a < o.a ? a + Modulus - o.a : a - o.a);
		}
		constexpr modint operator*(const modint &o) const noexcept {
			return modint(
				optimize_tag,
				static_cast<value_type>(static_cast<u64>(a) * static_cast<u64>(o.a) %
					static_cast<u64>(Modulus)));
		}
		constexpr modint operator/(const modint &o) const {
			return modint(
				optimize_tag,
				static_cast<value_type>(static_cast<u64>(a) * static_cast<u64>((~o).a) %
					static_cast<u64>(Modulus)));
		}
		modint &operator+=(const modint &o) noexcept {
			if ((a += o.a) >= Modulus)
				a -= Modulus;
			return *this;
		}
		modint &operator-=(const modint &o) noexcept {
			if (a < o.a)
				a += Modulus;
			a -= o.a;
			return *this;
		}
		modint &operator*=(const modint &o) noexcept {
			a = static_cast<value_type>(static_cast<u64>(a) * static_cast<u64>(o.a) %
				static_cast<u64>(Modulus));
			return *this;
		}
		modint &operator/=(const modint &o) {
			a = static_cast<u64>(a) * (~o).a % Modulus;
			return *this;
		}
		constexpr modint inverse() const noexcept {
			assert(a != static_cast<value_type>(0) && "0 does not have inverse");
			return pow(static_cast<u64>(Modulus - static_cast<value_type>(2)));
		}
		constexpr modint operator~() const noexcept { return inverse(); }
		constexpr modint operator-() const noexcept {
			if (a == static_cast<value_type>(0)) {
				return modint(optimize_tag, static_cast<value_type>(0));
			}
			else {
				return modint(optimize_tag, Modulus - a);
			}
		}
		modint &operator++() noexcept {
			if (++a == Modulus) {
				a = static_cast<value_type>(0);
			}
			return *this;
		}
		modint &operator--() noexcept {
			if (a == static_cast<value_type>(0)) {
				a = Modulus;
			}
			--a;
			return *this;
		}
		constexpr bool operator==(const modint &o) const noexcept { return a == o.a; }
		constexpr bool operator!=(const modint &o) const noexcept { return a != o.a; }
		constexpr bool operator<(const modint &o) const noexcept { return a < o.a; }
		constexpr bool operator<=(const modint &o) const noexcept { return a <= o.a; }
		constexpr bool operator>(const modint &o) const noexcept { return a > o.a; }
		constexpr bool operator>=(const modint &o) const noexcept { return a >= o.a; }
		constexpr explicit operator bool() const noexcept { return a; }
		constexpr explicit operator value_type() const noexcept { return a; }
		modint pow(u64 x) const noexcept {
			u64 t = a, u = 1;
			while (x) {
				if (x & 1)
					u = u * t % Modulus;
				t = (t * t) % Modulus;
				x >>= 1;
			}
			return modint(optimize_tag, static_cast<value_type>(u));
		}
	};

	void main_() {
		using mint = modint<1000000007>;
		usize n;
		std::cin >> n;
		std::vector<mint> a(n), fact(n);
		fact[0] = 1;
		for (auto &e : a) {
			std::cin >> e.a;
		}
		for (const auto i : rep(1, n)) {
			fact[i] = fact[i - 1] * i;
		}
		const usize m = n - 1;
		mint ans = 0;
		for (const auto i : rep(0, n)) {
			ans += a[i] * fact[m] / fact[i] / fact[m - i];
		}
		std::cout << ans.a << std::endl;
	}

} // namespace n91

int main() {
	n91::main_();
	return 0;
}