結果

問題 No.2605 Pickup Parentheses
ユーザー ゆにぽけゆにぽけ
提出日時 2024-01-12 22:49:32
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 4,412 bytes
コンパイル時間 2,867 ms
コンパイル使用メモリ 163,588 KB
最終ジャッジ日時 2025-02-18 18:48:02
ジャッジサーバーID
（参考情報） 		judge4 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2 WA * 1
other AC * 15 TLE * 1 -- * 52
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

diff # 

#include <iostream>
#include <vector>
#include <algorithm>
#include <array>
#include <iterator>
#include <string>
#include <cctype>
#include <cstring>
#include <cstdlib>
#include <cassert>
#include <cmath>
#include <ctime>
#include <iomanip>
#include <numeric>
#include <stack>
#include <queue>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <bitset>
#include <random>
#include <utility>
#include <functional>
#include <atcoder/convolution>
#include <atcoder/modint>
using mint = atcoder::modint998244353;
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
/* using mint = modint<998244353>; */
/* using mint = modint<1000000007>; */

template<class S>
struct combination
{
	vector<S> f,invf;

	combination(int N = 0) : f(1,1),invf(1,1)
	{
		update(N);
	}

	void update(int N)
	{
		if((int)f.size() > N) return;
		int pi = (int)f.size();
		N = max(N,pi*2);

		f.resize(N+1),invf.resize(N+1);

		for(int i = pi;i <= N;i++) f[i] = f[i-1]*i;
		invf[N] = S(1)/f[N];
		for(int i = N-1;i >= pi;i--) invf[i] = invf[i+1]*(i+1);
	}

	S factorial(int N)
	{
		update(N);
		return f[N];
	}

	S invfactorial(int N)
	{
		update(N);
		return invf[N];
	}

	S P(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[N-K];
	}

	S C(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[K]*invf[N-K];
	}

	S H(int N,int K)
	{
		if(!N) return K == 0 ? 1:0;
		return C(N+K-1,K);
	}
};
combination<mint> Com;

void solve()
{
	int N,M;
	cin >> N >> M;
	vector<int> L(M),R(M);
	vector<mint> C(M);
	for(int i = 0;i < M;i++)
	{
		cin >> L[i] >> R[i];
		L[i]--;
		int x = R[i] - L[i];
		if(x & 1);
		else C[i] = Com.C(x,x / 2) - Com.C(x,x / 2 - 1);
	}

	auto dfs = [&](auto dfs,int l,int r) -> vector<mint>
	{
		if(l == r) return {1};
		if(l + 1 == r)
		{
			vector<mint> res(R[l] - L[l] + 1);
			res[0] = 1,res[R[l] - L[l]] = -C[l];
			return res;
		}

		int m = (l + r) / 2;
		vector<mint> res = atcoder::convolution(dfs(dfs,l,m),dfs(dfs,m,r));
		res.resize(N + 1);
		return res;
	};
	vector<mint> V = dfs(dfs,0,M);
	mint ans = 0;
	for(int i = 0;i <= N;i++)
	{
		int x = N - i;
		if(x & 1) continue;
		mint coef = 1;
		if(x > 0)
		{
			coef = Com.C(x,x / 2) - Com.C(x,x / 2 - 1);
		}
		ans += coef * V[i];
	}
	cout << ans.val() << "\n";
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	/* cin >> tt; */
	while(tt--) solve();
}
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