Submission #1707527

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#if 1
#include <iostream>
#include <fstream>
#include <string>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <queue>
#include <stack>
#include <array>
#include <deque>
#include <algorithm>
#include <utility>
#include <cstdint>
#include <functional>
#include <iomanip>
#include <numeric>
#include <assert.h>
#include <bitset>

auto& in = std::cin;
auto& out = std::cout;

template<typename Arithmetic, typename Integral>
std::enable_if_t< std::is_unsigned<Integral>::value, Arithmetic>
ipow(Arithmetic bace, Integral n)
{
	//繰り返し二条法
	auto res = (Arithmetic)(1);
	while (n > 0) {
		if (n & 1) res *= bace;
		bace *= bace;
		n >>= 1;
	}
	return res;
}
constexpr bool is_prime(uint32_t N)
{
	if (N <= 1) {
		return false;
	}
	for (size_t i = 2; i*i <= N; ++i)
	{
		if (N%i == 0) {
			return false;
		}
	}
	return true;
}
template <uint64_t MOD> class mint_base;
//mint_base_base型用の累乗関数
template <uint64_t MOD> constexpr mint_base<MOD> m_pow(mint_base<MOD> x, uint64_t n)noexcept;
//mod計算を自動で行う整数テンプレートクラス
template <uint64_t MOD_ = 1000000007>
class mint_base
{
public:
	static constexpr auto MOD = MOD_;
	static_assert(!(MOD <= 2), "MOD cannot be below 2.");
	static_assert(MOD <= (0xFFFFFFFFFFFFFFFF / 2), "MOD is too big");//加算してオーバーフローしない
	static_assert(MOD <= 0xFFFFFFFF, "MOD is too big");//乗算してオーバーフローしない
	constexpr mint_base<MOD> operator+(const mint_base<MOD> &other)const noexcept
	{
		auto v = *this;
		return v += other;
	}
	constexpr mint_base<MOD> operator-(const mint_base<MOD> &other)const noexcept
	{
		auto v = *this;
		return v -= other;
	}
	constexpr mint_base<MOD> operator*(const mint_base<MOD> &other)const noexcept
	{
		auto v = *this;
		return v *= other;
	}
	constexpr auto operator/(const mint_base<MOD> &other)const noexcept
	{
		auto v = *this;
		return v /= other;
	}
	constexpr mint_base<MOD>& operator+=(const mint_base<MOD> &other) noexcept
	{
		a += other.a;
		if (MOD <= a) { a -= MOD; };
		return *this;
	}
	constexpr mint_base<MOD>& operator-=(const mint_base<MOD> &other) noexcept
	{
		if (a >= other.a) {
			a -= other.a;
		}
		else {
			a = (a + MOD) - other.a;
		}
		return *this;
	}
	constexpr mint_base<MOD>& operator*=(const mint_base<MOD> &other) noexcept
	{
#if 1
		a *= other.a;
		a %= MOD;
#else
		//MOD <= (MAXUINT64 / 2)条件下
		uint64_t b = other.a, v = 0;
		while (b > 0) {
			if (b & 1) {
				v += a;
				if (v >= MOD)v -= MOD;
			}
			a += a;
			if (MOD <= a)a -= MOD;
			b >>= 1;
		}
		a = v;
#endif
		return *this;
	}
	constexpr mint_base<MOD>& operator/=(const mint_base<MOD> &other) noexcept
	{
		return *this *= ~other;
	}
	constexpr mint_base<MOD> operator+()const noexcept { return *this; }
	constexpr mint_base<MOD> operator-()const noexcept
	{
		return{ MOD - a, mod_value_tag{} };
	}
	constexpr mint_base<MOD>& operator++() noexcept
	{
		if (MOD <= ++a) { a = 0; };
		return *this;
	}
	constexpr mint_base<MOD>& operator--() noexcept
	{
		if (a <= 0) { a = MOD; };
		--a;
		return *this;
	}
	constexpr mint_base<MOD> operator++(int) noexcept
	{
		auto tmp = *this;
		++*this;
		return tmp;
	}
	constexpr mint_base<MOD> operator--(int) noexcept
	{
		auto tmp = *this;
		--*this;
		return tmp;
	}
	constexpr mint_base<MOD> operator~()const noexcept
	{
		return ipow(*this, e_phi - 1);
	}
	constexpr mint_base<MOD>& operator=(const mint_base<MOD> &other) noexcept
	{
		a = other.a;
		return *this;
	}
	constexpr explicit operator uint64_t()const noexcept
	{
		return a;
	}
	constexpr explicit operator unsigned()const noexcept
	{
		return (unsigned)a;
	}
	static constexpr uint64_t getmod() noexcept
	{
		return MOD;
	}
	constexpr mint_base(uint64_t a_) noexcept :a(a_ % MOD) {}
	constexpr mint_base()noexcept : a(0) {}
	struct mod_value_tag {};
	constexpr mint_base(uint64_t a_, mod_value_tag) :a(a_) {}
private:
	static constexpr uint64_t get_e_phi()noexcept {
		//オイラー値の導出
		uint64_t temp = MOD;
		uint64_t m_ = MOD;
		for (uint64_t i = 2; i * i <= m_; ++i)
		{
			if (m_ % i == 0)
			{
				temp = temp / i * (i - 1);
				for (; m_ % i == 0; m_ /= i);
			}
		}
		if (m_ != 1)temp = temp / m_ * (m_ - 1);
		return temp;
	}
	static constexpr uint64_t e_phi = get_e_phi();//オイラー値
	uint64_t a;
};
//mint_base型用の累乗関数
template<uint64_t MOD>constexpr mint_base<MOD> m_pow(mint_base<MOD> x, uint64_t n)noexcept
{
	mint_base<MOD> res = 1;
	while (n > 0)
	{
		if (n & 1)res *= x;
		x *= x;
		n >>= 1;
	}
	return res;
}
//mint_baseの階乗計算
//O(x)時間が必要のため、fact_set関数を推奨する。
template<uint64_t MOD>constexpr mint_base<MOD> fact(mint_base<MOD> x)noexcept
{
	mint_base<MOD> res(1);
	for (uint64_t i = 1; i <= (uint64_t)x; ++i)
	{
		res *= i;
	}
	return res;
}
//mint_baseの階乗計算
//0からxまでの階乗を返す
//O(x)時間が必要
template<uint64_t MOD>std::vector<mint_base<MOD>> fact_set(mint_base<MOD> x = mint_base<MOD>(-1))
{
	mint_base<MOD> res(1);
	std::vector<mint_base<MOD>> set((uint64_t)(x)+1);
	set[0] = 1;
	for (uint64_t i = 1; i <= (uint64_t)x; ++i)
	{
		res *= i;
		set[i] = res;
	}
	return res;
}
//mint_base型のstreamへの出力
template<uint64_t MOD> std::ostream& operator<<(std::ostream& os, mint_base<MOD> i)
{
	os << (uint64_t)i;
	return os;
}
//mint_base型のstreamからの入力
template<uint64_t MOD> std::istream& operator >> (std::istream& is, mint_base<MOD>& i)
{
	uint64_t tmp;
	is >> tmp;
	i = tmp;
	return is;
}
typedef mint_base<1000000007> mint;
namespace mint_literal {
	constexpr mint operator""_mi(unsigned long long x)noexcept {
		return mint(x);
	}
}
using namespace mint_literal;
//mint_baseの階乗計算
//0からxまでの階乗を返す
//O(N)
template<int32_t X, uint64_t MOD = mint::MOD>
/*constexpr*/ std::array<mint_base<MOD>, X + 1> fact_set_c()
{
	mint_base<MOD> res(1);
	std::array<mint_base<MOD>, X + 1> set;
	set[0] = 1;
	for (int32_t i = 1; i <= X; ++i)
	{
		res *= i;
		set[i] = res;
	}
	return set;
}
template<typename RET = mint, typename Integral>
RET combination(Integral all, Integral get)
{
	assert(all >= get);
	get = std::min(all - get, get);
#if 1
	//時間計算量O(logMOD)
	static const auto fact_v = fact_set_c<100001>();
	return fact_v[all] / (fact_v[get] * fact_v[all - get]);
#elif 0
	//時間計算量O(1)
	//空間計算量、初期化時間計算量O(N^2)
	constexpr int32_t ALL_MAX = 10'000;
	static std::vector<RET> DP_comb[ALL_MAX + 1];
	if (!DP_comb[all].empty())
	{
		return DP_comb[all][get];
	}

	if (DP_comb[0].empty())
	{
		DP_comb[0].resize(1);
		DP_comb[0][0] = (RET)1;
		DP_comb[1].resize(1);
		DP_comb[1][0] = (RET)1;
	}
	for (int32_t i = 2; i <= all; i++)
	{
		if (DP_comb[i].empty())
		{
			int32_t size = i / 2 + 1;
			DP_comb[i].resize(size);
			DP_comb[i][0] = (RET)1;
			for (int32_t j = 1; j < size - 1; j++)
			{
				DP_comb[i][j] = DP_comb[i - 1][j - 1] + DP_comb[i - 1][j];
			}
			DP_comb[i][size - 1] = DP_comb[i - 1][size - 2] + DP_comb[i - 1][(i & 1) ? (size - 1) : (size - 2)];
		}
	}
	return DP_comb[all][get];
#else
	//時間計算量O(get * logMOD)
	RET ret = (RET)1;
	for (Integral i = 1; i <= get; ++i)
	{
		ret *= all + 1 - i;
		ret /= i;
	}
	return ret;
#endif
}
int32_t eat_all;
int32_t N_EATED_A[400];
int32_t N_EATED_B[400];
int32_t C_tori[400][400];//a,b
int32_t N;
int32_t A[400];
int32_t B[400];

mint DP2[400][400];
mint DP[400][400];

int main()
{
	using std::endl;
	in.sync_with_stdio(false);
	out.sync_with_stdio(false);
	in.tie(nullptr);
	out.tie(nullptr);

	in >> N; eat_all = N / 3;
	for (int32_t i = 0; i < N; i++)
	{
		in >> A[i]; --A[i];
		N_EATED_A[A[i]] = i;
	}
	for (int32_t i = 0; i < N; i++)
	{
		in >> B[i]; --B[i];
		N_EATED_B[B[i]] = i;
	}


	for (int32_t a = N - 1; a >= 0; --a)
		for (int32_t b = N - 1; b >= 0; --b)
		{
			if (b == N - 1) {
				C_tori[a][b] = 0;
			}
			else {
				C_tori[a][b] = C_tori[a][b + 1];
				//B[b+1]が使えるようになる
				if (a < N_EATED_A[B[b + 1]]) {
					++C_tori[a][b];
				}
			}
			//for (int32_t i = 0; i < N; i++)
			//{
			//	if(a<N_EATED_A[i] && b<N_EATED_B[i])
			//		++C_tori[a][b];
			//}
		}


	//taberu == 0
	DP[0][0] = 1_mi;
	for (int32_t taberu = 1; taberu <= eat_all; ++taberu)
	{
		for (int32_t a = 0; a <= N; a++)
			for (int32_t b = 0; b <= N; b++)
			{
				//func2
				int32_t a_next = a;

				if (b == 0) {
					DP2[a_next][b] = 0;
				}
				else {
					int32_t tabeta = eat_all - taberu;

					DP2[a_next][b] = 0;
					if (b - 1 < N_EATED_B[A[a_next]] && a_next < N_EATED_A[B[b - 1]] && (C_tori[a_next][b - 1] > tabeta * 3)) {
						DP2[a_next][b] = DP[a_next][b - 1] * (3 * tabeta + 1)*(3 * tabeta + 2)*(C_tori[a_next][b - 1] - tabeta * 3);
					}
					DP2[a_next][b] += DP2[a_next][b - 1];
				}
			}
		for (int32_t a = 0; a <= N; a++)
			for (int32_t b = 0; b <= N; b++)
			{
				//func
				if (a == 0 || b == 0) {
					if (a == 0 && b == 0 && taberu == 0) {
						DP[a][b] = 1_mi;
					}
					else {
						DP[a][b] = 0_mi;
					}
				}
				else
				{
					DP[a][b] = 0;
					auto a_next = a - 1;
					DP[a][b] += DP2[a_next][b];
					DP[a][b] += DP[a - 1][b];
				}
			}
	}
	out << DP[N][N] << endl;

	return 0;
}
#endif

Submission Info

Submission Time
Task F - Three Gluttons
User eiya
Language C++14 (Clang 3.8.0)
Score 1800
Code Size 9674 Byte
Status
Exec Time 144 ms
Memory 3328 KB

Test Cases

Set Name Score / Max Score Test Cases
Sample 0 / 0 0_00.txt, 0_01.txt, 0_02.txt, 0_03.txt, 0_04.txt
All 1800 / 1800 0_00.txt, 0_01.txt, 0_02.txt, 0_03.txt, 0_04.txt, 1_00.txt, 1_01.txt, 1_02.txt, 1_03.txt, 1_04.txt, 1_05.txt, 1_06.txt, 1_07.txt, 1_08.txt, 1_09.txt, 1_10.txt, 1_11.txt, 1_12.txt, 1_13.txt, 1_14.txt, 1_15.txt, 1_16.txt, 1_17.txt, 1_18.txt, 1_19.txt, 1_20.txt, 1_21.txt, 1_22.txt, 1_23.txt, 1_24.txt, 1_25.txt, 1_26.txt, 1_27.txt, 1_28.txt, 1_29.txt, 1_30.txt, 1_31.txt
Case Name Status Exec Time Memory
0_00.txt 1 ms 256 KB
0_01.txt 1 ms 256 KB
0_02.txt 1 ms 256 KB
0_03.txt 1 ms 256 KB
0_04.txt 1 ms 384 KB
1_00.txt 126 ms 3328 KB
1_01.txt 136 ms 3328 KB
1_02.txt 136 ms 3328 KB
1_03.txt 137 ms 3328 KB
1_04.txt 137 ms 3328 KB
1_05.txt 136 ms 3328 KB
1_06.txt 136 ms 3328 KB
1_07.txt 141 ms 3328 KB
1_08.txt 140 ms 3328 KB
1_09.txt 140 ms 3328 KB
1_10.txt 138 ms 3328 KB
1_11.txt 137 ms 3328 KB
1_12.txt 132 ms 3328 KB
1_13.txt 144 ms 3328 KB
1_14.txt 141 ms 3328 KB
1_15.txt 144 ms 3328 KB
1_16.txt 136 ms 3328 KB
1_17.txt 136 ms 3328 KB
1_18.txt 133 ms 3328 KB
1_19.txt 133 ms 3328 KB
1_20.txt 130 ms 3328 KB
1_21.txt 136 ms 3328 KB
1_22.txt 136 ms 3328 KB
1_23.txt 136 ms 3328 KB
1_24.txt 141 ms 3328 KB
1_25.txt 144 ms 3328 KB
1_26.txt 135 ms 3328 KB
1_27.txt 141 ms 3328 KB
1_28.txt 141 ms 3328 KB
1_29.txt 144 ms 3328 KB
1_30.txt 138 ms 3328 KB
1_31.txt 134 ms 3328 KB