結果

問題 No.2877 Gunegune Hyperion
ユーザー 👑 potato167potato167
提出日時 2024-09-06 23:08:33
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 325 ms / 6,000 ms
コード長 8,210 bytes
コンパイル時間 4,114 ms
コンパイル使用メモリ 254,200 KB
実行使用メモリ 19,244 KB
最終ジャッジ日時 2024-09-06 23:08:51
合計ジャッジ時間 8,777 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 AC 2 ms
6,812 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 46 ms
6,940 KB
testcase_04 AC 76 ms
7,296 KB
testcase_05 AC 78 ms
9,644 KB
testcase_06 AC 82 ms
12,300 KB
testcase_07 AC 179 ms
12,960 KB
testcase_08 AC 163 ms
12,368 KB
testcase_09 AC 103 ms
9,936 KB
testcase_10 AC 207 ms
16,612 KB
testcase_11 AC 153 ms
10,364 KB
testcase_12 AC 17 ms
6,944 KB
testcase_13 AC 38 ms
6,940 KB
testcase_14 AC 28 ms
6,944 KB
testcase_15 AC 158 ms
10,216 KB
testcase_16 AC 325 ms
19,216 KB
testcase_17 AC 104 ms
16,836 KB
testcase_18 AC 48 ms
6,944 KB
testcase_19 AC 57 ms
8,012 KB
testcase_20 AC 5 ms
6,940 KB
testcase_21 AC 212 ms
16,560 KB
testcase_22 AC 82 ms
9,812 KB
testcase_23 AC 154 ms
17,640 KB
testcase_24 AC 211 ms
15,344 KB
testcase_25 AC 225 ms
19,244 KB
testcase_26 AC 56 ms
7,168 KB
testcase_27 AC 90 ms
11,620 KB
testcase_28 AC 162 ms
16,816 KB
testcase_29 AC 244 ms
19,244 KB
testcase_30 AC 160 ms
16,728 KB
testcase_31 AC 224 ms
19,240 KB
testcase_32 AC 95 ms
15,204 KB
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 # 

#line 1 "a.cpp"
#include <bits/stdc++.h>
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
const ll ILL=2167167167167167167;
const int INF=2100000000;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
bool yneos(bool a,bool upp=0){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;}
template<class T> void vec_out(vector<T> &p,int ty=0){
    if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
    else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}
template<class T> bool inside(T l,T x,T r){return l<=x&&x<r;}

#include <atcoder/modint>
using mint = atcoder::modint998244353;
#line 2 "/Users/Shared/po167_library/fps/FPS_pow.hpp"

#line 4 "/Users/Shared/po167_library/fps/FPS_pow.hpp"
#include <atcoder/convolution>

#line 4 "/Users/Shared/po167_library/fps/FPS_cyclic_convolution.hpp"

namespace po167{
// |f| = |g| = 2 ^ n
template<class T>
std::vector<T> FPS_cyclic_convolution(std::vector<T> f, std::vector<T> g){
    atcoder::internal::butterfly(f);
    atcoder::internal::butterfly(g);
    for (int i = 0; i < (int)f.size(); i++) f[i] *= g[i];
    atcoder::internal::butterfly_inv(f);
    T iz = (T)(1) / (T)(f.size());
    for (int i = 0; i < (int)f.size(); i++) f[i] *= iz;
    return f;
}
}
#line 3 "/Users/Shared/po167_library/fps/FPS_differetial.hpp"

namespace po167{
// return f'
template <class T>
std::vector<T> FPS_differential(std::vector<T> f){
    if (f.empty()) return f;
    for (int i = 0; i < (int)f.size() - 1; i++){
        f[i] = f[i + 1] * (T)(i + 1);
    }
    f.pop_back();
    return f;
}
}
#line 3 "/Users/Shared/po167_library/fps/FPS_integral.hpp"

namespace po167{
template <class T>
std::vector<T> FPS_integral(std::vector<T> f){
    if (f.empty()) return f;
    std::vector<T> num_inv((int)f.size() + 1);
    num_inv[0] = 1;
    num_inv[1] = 1;
    auto m = T::mod();
    for (int i = 2; i <= (int)f.size(); i++){
        num_inv[i] = (0 - num_inv[m % i]) * (T)(m / i);
    }
    f.reserve((int)f.size() + 1);
    f.push_back(0);
    for (int i = (int)f.size() - 1; i > 0; i--){
        f[i] = f[i - 1] * num_inv[i];
    }
    f[0] = 0;
    return f;
}
}
#line 4 "/Users/Shared/po167_library/fps/FPS_inv.hpp"

namespace po167{
// return 1 / f
template <class T>
std::vector<T> FPS_inv(std::vector<T> f, int len = -1){
    if (len == -1) len = f.size();
    assert(f[0] != 0);
    std::vector<T> g = {1 / f[0]};
    int s = 1;
    while(s < len){
        // g = 2g_s - f(g_s)^2 (mod x ^ (2 * s))
        // g = g - (fg - 1)g
        // (fg - 1) = 0 (mod x ^ (s))
        std::vector<T> n_g(s * 2, 0);
        std::vector<T> f_s(s * 2, 0);
        g.resize(s * 2);
        for (int i = 0; i < s * 2; i++){
            if (int(f.size()) > i) f_s[i] = f[i];
            n_g[i] = g[i];
        }
        atcoder::internal::butterfly(g);
        atcoder::internal::butterfly(f_s);
        for (int i = 0; i < s * 2; i++){
            f_s[i] *= g[i];
        }
        atcoder::internal::butterfly_inv(f_s);
        T iz = 1 / (T)(s * 2);
        for (int i = s; i < s * 2; i++){
            f_s[i] *= iz;
        }
        for (int i = 0; i < s; i++){
            f_s[i] = 0;
        }
        atcoder::internal::butterfly(f_s);
        for (int i = 0; i < s * 2; i++){
            f_s[i] *= g[i];
        }
        atcoder::internal::butterfly_inv(f_s);
        for (int i = s; i < s * 2; i++){
            n_g[i] -= f_s[i] * iz;
        }
        std::swap(n_g, g);
        s *= 2;
    }
    g.resize(len);
    return g;
}
}
#line 8 "/Users/Shared/po167_library/fps/FPS_exp.hpp"

namespace po167{
template<class T>
std::vector<T> FPS_exp(std::vector<T> f, int len = -1){
    if (len == -1) len = f.size();
    if (len == 0) return {};
    if (len == 1) return {T(1)};
    assert(!f.empty() && f[0] == 0);
    int s = 1;
    // simple
    std::vector<T> g = {T(1)};
    while (s < len){
        // g' / g
        // A * B
        std::vector<T> A = g, B = g;
        A = FPS_differential(A);
        B = FPS_inv(B, 2 * s);
        A.resize(2 * s);
        A = FPS_cyclic_convolution(A, B);
        A.pop_back();
        A = FPS_integral(A);
        for (int i = 0; i < s; i++) A[i] = 0;
        for (int i = s; i < s * 2; i++) A[i] = (i < (int)f.size() ? f[i] : 0) - A[i];
        // g_hat = g (1 - g + f)
        // g += B = g * A
        g.resize(2 * s);
        B = FPS_cyclic_convolution(A, g);
        for (int i = s; i < s * 2; i++) g[i] = B[i];
        s *= 2;
    }
    g.resize(len);
    return g;
}
}
#line 5 "/Users/Shared/po167_library/fps/FPS_log.hpp"

namespace po167{
template<class T>
std::vector<T> FPS_log(std::vector<T> f, int len = -1){
    if (len == -1) len = f.size();
    if (len == 0) return {};
    if (len == 1) return {T(0)};
    assert(!f.empty() && f[0] == 1);
    std::vector<T> res = atcoder::convolution(FPS_differential(f), FPS_inv(f, len));
    res.resize(len - 1);
    return FPS_integral(res);
}
}
#line 8 "/Users/Shared/po167_library/fps/FPS_pow.hpp"

namespace po167{
template<class T>
std::vector<T> FPS_pow(std::vector<T> f,long long M, int len = -1){
    if (len == -1) len = f.size();
    std::vector<T> res(len, 0);
    if (M == 0){
        res[0] = 1;
        return res;
    }
    for (int i = 0; i < (int)f.size(); i++){
        if (f[i] == 0) continue;
        if (i > (len - 1) / M) break;
        std::vector<T> g((int)f.size() - i);
        T v = (T)(1) / (T)(f[i]);
        for (int j = i; j < (int)f.size(); j++){
            g[j - i] = f[j] * v;
        }
        long long zero = i * M;
        if (i) len -= i * M;
        g = FPS_log(g, len);
        for (T &x : g) x *= M;
        g = FPS_exp(g, len);
        v = (T)(1) / v;
        T c = 1;
        while (M){
            if (M & 1) c = c * v;
            v = v * v;
            M >>= 1;
        }
        for (int i = 0; i < len; i++) res[i + zero] = g[i] * c;
        return res;
    }
    return res;
}
}
#line 32 "a.cpp"

void solve();
// CYAN / FREDERIC
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int t = 1;
    // cin >> t;
    rep(i, 0, t) solve();
}

void solve(){
    ll N, H;
    cin >> N >> H;
    vector base(5, vector<mint>(N));
    vector<mint> inv(6);
    rep(i, 1, 6) inv[i] = (mint)(1) / (mint)(i);
    rep(i, 0, 5){
        vector<mint> dp(5);
        dp[i] = 1;
        rep(j, 0, N - 1){
            vector<mint> n_dp(5);
            rep(k, 0, 5){
                int l = max(0, k - 1);
                int r = min(5, k + 2);
                rep(m, l, r){
                    n_dp[m] += dp[k] * inv[r - l];
                }
            }
            swap(n_dp, dp);
            for (int k = 0; k < 5; k += 4){
                base[i][j + 1] += dp[k];
                dp[k] = 0;
            }
        }
    }
    vector<mint> f(N), g = base[0];
    rep(i, 0, 5){
        if (i == 0 || i == 4) f[0] += inv[5];
        else rep(j, 0, N) f[j] += base[i][j] * inv[5];
    }
    auto gp = po167::FPS_pow(g, N - H);
    f = atcoder::convolution(f, gp);
    f.resize(N);
    cout << (1 - vec_sum(f)).val() << "\n";
}
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