#620927 (C++17) No.1409 Simple Math in yukicoder

提出ソース

結果

問題	No.1409 Simple Math in yukicoder
ユーザー	kaage
提出日時	2021-02-21 15:55:20
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	RE (最新) AC (最初)
実行時間	-
コード長	8,964 bytes
コンパイル時間	2,557 ms
コンパイル使用メモリ	165,376 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-09-19 13:57:53
合計ジャッジ時間	17,533 ms
ジャッジサーバーID （参考情報）	judge3 / judge5

このコードへのチャレンジ
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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	RE	-
testcase_01	RE	-
testcase_02	RE	-
testcase_03	RE	-
testcase_04	RE	-
testcase_05	RE	-
testcase_06	RE	-
testcase_07	RE	-
testcase_08	RE	-
testcase_09	RE	-
testcase_10	RE	-
testcase_11	RE	-
testcase_12	RE	-
testcase_13	RE	-
testcase_14	RE	-
testcase_15	RE	-
testcase_16	RE	-
testcase_17	RE	-
testcase_18	RE	-
testcase_19	RE	-
testcase_20	RE	-
testcase_21	RE	-
testcase_22	RE	-
testcase_23	RE	-
testcase_24	RE	-
testcase_25	RE	-
testcase_26	RE	-
testcase_27	RE	-
testcase_28	RE	-
testcase_29	RE	-
testcase_30	RE	-
testcase_31	RE	-
testcase_32	RE	-
testcase_33	RE	-
testcase_34	RE	-
testcase_35	RE	-
testcase_36	RE	-
testcase_37	RE	-
testcase_38	RE	-
testcase_39	RE	-
testcase_40	RE	-
testcase_41	RE	-
testcase_42	RE	-
testcase_43	RE	-
testcase_44	RE	-
testcase_45	RE	-
testcase_46	RE	-
testcase_47	RE	-
testcase_48	RE	-
testcase_49	RE	-
testcase_50	RE	-
testcase_51	RE	-
testcase_52	RE	-
testcase_53	RE	-
testcase_54	RE	-
testcase_55	RE	-
testcase_56	RE	-
testcase_57	RE	-
testcase_58	RE	-
testcase_59	RE	-

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

raw source code

#line 2 "library/other/template.hpp"
#define _CRT_SECURE_NO_WARNINGS
#ifdef ONLINE_JUDGE
#pragma GCC target("avx512f")
#elif defined EVAL
#else
#pragma GCC target("avx2")
#endif
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <string.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define rep(i, n) for (int i = 0; i < (n); i++)
#define REP(i, n) for (int i = 1; i <= (n); i++)
#define all(V) V.begin(), V.end()

using i128 = __int128_t;
using u128 = __uint128_t;
using uint = unsigned int;
using lint = long long;
using ulint = unsigned long long;
using P = std::pair<int, int>;
using LP = std::pair<lint, lint>;

constexpr int INF = INT_MAX / 2;
constexpr lint LINF = LLONG_MAX / 2;
constexpr double eps = DBL_EPSILON;
constexpr double PI = 3.141592653589793238462643383279;

template <class T>
class prique : public std::priority_queue<T, std::vector<T>, std::greater<T>> {
};
template <class F>
inline constexpr decltype(auto) lambda_fix(F&& f) {
	return [f = std::forward<F>(f)](auto&&... args) {
		return f(f, std::forward<decltype(args)>(args)...);
	};
}
template <class T>
constexpr std::vector<T> make_vec(size_t n) {
	return std::vector<T>(n);
}
template <class T, class... Args>
constexpr auto make_vec(size_t n, Args&&... args) {
	return std::vector<decltype(make_vec<T>(args...))>(
		n, make_vec<T>(std::forward<Args>(args)...));
}
template <class T, class U>
constexpr inline bool chmax(T& lhs, const U& rhs) {
	if (lhs < rhs) {
		lhs = rhs;
		return true;
	}
	return false;
}
template <class T, class U>
constexpr inline bool chmin(T& lhs, const U& rhs) {
	if (lhs > rhs) {
		lhs = rhs;
		return true;
	}
	return false;
}
constexpr inline lint gcd(lint a, lint b) {
	while (b) {
		lint c = a;
		a = b;
		b = c % b;
	}
	return a;
}
inline lint lcm(lint a, lint b) { return a / gcd(a, b) * b; }
constexpr bool isprime(lint n) {
	if (n == 1) return false;
	for (int i = 2; i * i <= n; i++) {
		if (n % i == 0) return false;
	}
	return true;
}
template <class T>
constexpr T mypow(T a, lint b) {
	T res(1);
	while (true) {
		if (b & 1) res *= a;
		b >>= 1;
		if (!b) break;
		a *= a;
	}
	return res;
}
constexpr lint modpow(lint a, lint b, lint m) {
	a %= m;
	lint res(1);
	while (b) {
		if (b & 1) {
			res *= a;
			res %= m;
		}
		a *= a;
		a %= m;
		b >>= 1;
	}
	return res;
}
template <class T>
constexpr void printArray(const std::vector<T>& vec, char split = ' ') {
	rep(i, vec.size()) {
		std::cout << vec[i];
		std::cout << (i == (int)vec.size() - 1 ? '\n' : split);
	}
}
template <class InputIter>
constexpr void printArray(InputIter l, InputIter r, char split = ' ') {
	auto rprev = std::prev(r);
	for (auto i = l; i != r; i++) {
		std::cout << *i;
		std::cout << (i == rprev ? '\n' : split);
	}
}
LP extGcd(lint a, lint b) {
	if (b == 0) return {1, 0};
	LP s = extGcd(b, a % b);
	std::swap(s.first, s.second);
	s.second -= a / b * s.first;
	return s;
}
LP ChineseRem(const lint& b1, const lint& m1, const lint& b2, const lint& m2) {
	lint p = extGcd(m1, m2).first;
	lint tmp = (b2 - b1) * p % m2;
	lint r = (b1 + m1 * tmp + m1 * m2) % (m1 * m2);
	return {r, m1 * m2};
}
int LCS(const std::string& a, const std::string& b) {
	auto dp = make_vec<int>(a.size() + 1, b.size() + 1);
	rep(i, a.size()) {
		rep(j, b.size()) {
			chmax(dp[i + 1][j], dp[i][j]);
			chmax(dp[i][j + 1], dp[i][j]);
			if (a[i] == b[j]) chmax(dp[i + 1][j + 1], dp[i][j] + 1);
		}
		chmax(dp[i + 1][b.size()], dp[i][b.size()]);
	}
	rep(j, b.size()) chmax(dp[a.size()][j + 1], dp[a.size()][j]);
	return dp[a.size()][b.size()];
}
template <class T, std::enable_if_t<std::is_convertible<int, T>::value,
									std::nullptr_t> = nullptr>
void compress(std::vector<T>& vec) {
	auto tmp = vec;
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (T& i : vec) i = std::lower_bound(all(tmp), i) - tmp.begin();
}
template <class T>
void compress(T* l, T* r) {
	std::vector<T> tmp(l, r);
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (auto i = l; i < r; i++) {
		*i = std::lower_bound(all(tmp), *i) - tmp.begin();
	}
}
template <class InputIter>
void compress(InputIter l, InputIter r) {
	std::vector<typename InputIter::value_type> tmp(l, r);
	std::sort(all(tmp));
	tmp.erase(std::unique(all(tmp)), tmp.end());
	for (auto i = l; i < r; i++) {
		*i = std::lower_bound(all(tmp), *i) - tmp.begin();
	}
}
#line 3 "library/other/type_traits.hpp"

class ModInt__Base {};
class StaticModInt__Base : ModInt__Base {};
class DynamicModInt__Base : ModInt__Base {};

template <class T>
class is_ModInt : public std::is_base_of<ModInt__Base, T> {};
template <class T>
constexpr bool is_ModInt_v = is_ModInt<T>::value;

template <class T>
class is_StaticModInt : public std::is_base_of<StaticModInt__Base, T> {};
template <class T>
constexpr bool is_StaticModInt_v = is_StaticModInt<T>::value;

template <class T>
class is_DynamicModInt : public std::is_base_of<DynamicModInt__Base, T> {};
template <class T>
constexpr bool is_DynamicModInt_v = is_DynamicModInt<T>::value;
#line 4 "library/algebraic/DynamicModInt.hpp"
class DynamicModInt : DynamicModInt__Base {
	static uint modulo;
	int value;

  public:
	static void setMod(uint mod) { modulo = mod; }
	constexpr DynamicModInt() : value(0) {}
	template <class T>
	DynamicModInt(T value = 0) : value(value) {
		this->value =
			(value < 0 ? -(-value % modulo) + modulo : lint(value)) % modulo;
	}

	inline DynamicModInt inv() const { return mypow(*this, modulo - 2); }
	inline constexpr operator int() const { return value; }
	inline DynamicModInt& operator+=(const DynamicModInt& x) {
		value = value + x.value;
		if (value >= modulo) value -= modulo;
		return *this;
	}
	inline DynamicModInt& operator++() {
		if (value == modulo - 1)
			value = 0;
		else
			value++;
		return *this;
	}
	inline DynamicModInt operator++(int) {
		DynamicModInt res = *this;
		++*this;
		return res;
	}
	inline DynamicModInt operator-() const { return DynamicModInt(0) -= *this; }
	inline DynamicModInt& operator-=(const DynamicModInt& x) {
		value -= x.value;
		if (value < 0) value += modulo;
		return *this;
	}
	inline DynamicModInt& operator--() {
		if (value == 0)
			value = modulo - 1;
		else
			value--;
		return *this;
	}
	inline DynamicModInt operator--(int) {
		DynamicModInt res = *this;
		--*this;
		return res;
	}
	inline DynamicModInt& operator*=(const DynamicModInt& x) {
		value = (lint)value * x.value % modulo;
		return *this;
	}
	inline DynamicModInt& operator/=(const DynamicModInt& rhs) {
		return *this *= rhs.inv();
	}
	template <class T>
	DynamicModInt operator+(const T& rhs) const {
		return DynamicModInt(*this) += rhs;
	}
	template <class T>
	DynamicModInt& operator+=(const T& rhs) {
		return operator+=(DynamicModInt(rhs));
	}
	template <class T>
	DynamicModInt operator-(const T& rhs) const {
		return DynamicModInt(*this) -= rhs;
	}
	template <class T>
	DynamicModInt& operator-=(const T& rhs) {
		return operator-=(DynamicModInt(rhs));
	}
	template <class T>
	DynamicModInt operator*(const T& rhs) const {
		return DynamicModInt(*this) *= rhs;
	}
	template <class T>
	DynamicModInt& operator*=(const T& rhs) {
		return operator*=(DynamicModInt(rhs));
	}
	template <class T>
	DynamicModInt operator/(const T& rhs) const {
		return DynamicModInt(*this) /= rhs;
	}
	template <class T>
	DynamicModInt& operator/=(const T& rhs) {
		return operator/=(DynamicModInt(rhs));
	}
	static int primitive_root() {
		int p = 0;
		static std::random_device rd;
		static std::mt19937 mt(rd());
		std::uniform_int_distribution<> uid(1, modulo - 1);

		// use naive factorize due to file size limit
		std::vector<int> vec;
		int tmp = modulo - 1;
		for (int i = 2; i * i <= tmp; i++) {
			if (tmp % i == 0) {
				vec.emplace_back(i);
				do {
					tmp /= i;
				} while (tmp % i == 0);
			}
		}
		if (tmp != 1) vec.emplace_back(tmp);

		vec.erase(std::unique(all(vec)), vec.end());
		while (true) {
			p = uid(mt);
			bool f = true;
			for (const auto& i : vec) {
				if (mypow(DynamicModInt(p), (modulo - 1) / i) == 1) {
					f = false;
					break;
				}
			}
			if (f) return p;
		}
	}
};
uint DynamicModInt::modulo = 1000000007;
#line 3 "main.cpp"
int main() {
	int T, v, x;
	std::cin >> T;
	rep(i, T) {
		std::cin >> v >> x;
		int p = v * x + 1;
		DynamicModInt::setMod(p);
		int q = DynamicModInt::primitive_root();
		lint c = modpow(q, v, p), now = 1;
		std::vector<int> ans;
		rep(j, x) {
			now *= c;
			now %= p;
			ans.emplace_back(now);
		}
		std::sort(all(ans));
		printArray(ans);
	}
	return 0;
}