結果

問題 No.2605 Pickup Parentheses
ユーザー ゆにぽけ
提出日時 2024-01-12 22:56:18
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
(最新)
AC  
(最初)
実行時間 -
コード長 4,410 bytes
コンパイル時間 2,855 ms
コンパイル使用メモリ 163,612 KB
最終ジャッジ日時 2025-02-18 18:55:38
ジャッジサーバーID
（参考情報） 		judge1 / judge3
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 * 3
other AC * 67 WA * 1
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 #
プレゼンテーションモードにする

#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));
        return res;
    };
    vector<mint> V = dfs(dfs,0,M);
    mint ans = 0;
    for(int i = 0;i <= min(N,(int)V.size());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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