結果

問題 No.2156 ぞい文字列
ユーザー dyktr_06dyktr_06
提出日時 2022-12-09 22:02:30
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 5,645 bytes
コンパイル時間 2,085 ms
コンパイル使用メモリ 183,688 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-08-04 23:42:57
合計ジャッジ時間 2,989 ms
ジャッジサーバーID
(参考情報)
judge12 / judge13
このコードへのチャレンジ(β)

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 1 ms
4,380 KB
testcase_01 AC 2 ms
4,384 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,380 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 1 ms
4,380 KB
testcase_13 AC 1 ms
4,380 KB
testcase_14 AC 1 ms
4,380 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 1 ms
4,380 KB
testcase_18 AC 1 ms
4,376 KB
testcase_19 AC 2 ms
4,376 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: 関数 ‘void in(T& ...)’ 内:
main.cpp:30:55: 警告: fold-expressions only available with ‘-std=c++17’ or ‘-std=gnu++17’ [-Wc++17-extensions]
   30 | template<class... T> void in(T&... a){ (cin >> ... >> a); }
      |                                                       ^
main.cpp: 関数 ‘void out(const T&, const Ts& ...)’ 内:
main.cpp:32:112: 警告: fold-expressions only available with ‘-std=c++17’ or ‘-std=gnu++17’ [-Wc++17-extensions]
   32 | template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
      |                                                                                                                ^

ソースコード

diff #

#pragma GCC optimize("O3")

#include <bits/stdc++.h>

using namespace std;

#define rep(i,n) for(int i = 0; i < (int)(n); ++i)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) a.begin(), a.end()
#define Sort(a) sort(a.begin(), a.end())
#define RSort(a) sort(a.rbegin(), a.rend())

typedef long long int ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef pair<long long, long long> P;

const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double PI = acos(-1);
 
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; i++){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

ll n;

template <typename T>
T modinv(T a, T m){
    T b = m, u = 1, v = 0;
    while(b){
        T t = a / b;
        a -= t * b; swap(a, b);
        u -= t * v; swap(u, v);
    }
    u %= m;
    if (u < 0) u += m;
    return u;
}

template <typename T>
T modarithmeticsum(T a, T d, T n, T m){
    a %= m, n %= m, d %= m;
    T b = (n - 1) * d % m;
    return n * (a * 2 + b) % m * modinv((T) 2, m) % m;
}

template <long long Modulus>
struct ModInt{
    long long val;
    constexpr ModInt(const long long &_val = 0) noexcept : val(_val) {
        normalize();
    }
    void normalize(){
        val = (val % Modulus + Modulus) % Modulus;
    }
    inline ModInt& operator+=(const ModInt& rhs) noexcept {
        if(val += rhs.val, val >= Modulus) val -= Modulus;
        return *this;
    }
    inline ModInt& operator-=(const ModInt& rhs) noexcept {
        if(val -= rhs.val, val < 0) val += Modulus;
        return *this;
    }
    inline ModInt& operator*=(const ModInt& rhs) noexcept {
        val = val * rhs.val % Modulus;
        return *this;
    }
    inline ModInt& operator/=(const ModInt& rhs) noexcept {
        val = val * inv(rhs.val).val % Modulus;
        return *this;
    }
    inline ModInt& operator++() noexcept {
        if(++val >= Modulus) val -= Modulus;
        return *this;
    }
    inline ModInt operator++(int) noexcept {
        ModInt t = val;
        if(++val >= Modulus) val -= Modulus;
        return t;
    }
    inline ModInt& operator--() noexcept {
        if(--val < 0) val += Modulus;
        return *this;
    }
    inline ModInt operator--(int) noexcept {
        ModInt t = val;
        if(--val < 0) val += Modulus;
        return t;
    }
    inline ModInt operator-() const noexcept { return (Modulus - val) % Modulus; }
    inline ModInt inv(void) const { return inv(val); }
    ModInt inv(const long long& n) const {
        long long a = n, b = Modulus, u = 1, v = 0;
        while(b){
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        u %= Modulus;
        if(u < 0) u += Modulus;
        return u;
    }
    friend inline ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) += rhs; }
    friend inline ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) -= rhs; }
    friend inline ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) *= rhs; }
    friend inline ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) /= rhs; }
    friend inline bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val == rhs.val; }
    friend inline bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val != rhs.val; }
    friend inline istream& operator>>(istream& is, ModInt& x) noexcept {
        is >> x.val;
        x.normalize();
        return is;
    }
    friend inline ostream& operator<<(ostream& os, const ModInt& x) noexcept { return os << x.val; }
};

vector<vector<long long>> mul(vector<vector<long long>> a, vector<vector<long long>> b){
    vector<vector<long long>> res((int) a.size(), vector<long long>(b[0].size()));
    for(int i = 0; i < (int) a.size(); i++){
        for(int j = 0; j < (int) b[0].size(); j++){
            for(int k = 0; k < (int) b.size(); k++){
                res[i][j] += a[i][k] * b[k][j];
                res[i][j] %= MOD;
            }
        }
    }
    return res;
}

// 繰り返し二乗法
long long calc(long long n){
    vector<vector<long long>> a(2, vector<long long>(2));
    a[0][0] = 1; a[0][1] = 1;
    a[1][0] = 1; a[1][1] = 0;

    vector<vector<long long>> b(2, vector<long long>(2, 0));
    for(int i = 0; i < 2; i++) b[i][i] = 1;

    while(n > 0){
        if(n & 1) b = mul(a, b);
        a = mul(a, a);
        n >>= 1;
    }
    return b[1][0];
}

using mint = ModInt<998244353>;

void input(){
    in(n);
}
 
void solve(){
    mint ans = calc(n) + calc(n - 1) - 1;
    out(ans);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    input();
    solve();
}
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