結果

問題 No.1138 No Bingo!
ユーザー dyktr_06dyktr_06
提出日時 2024-08-16 20:11:55
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 13 ms / 3,000 ms
コード長 9,749 bytes
コンパイル時間 2,193 ms
コンパイル使用メモリ 205,380 KB
実行使用メモリ 9,472 KB
最終ジャッジ日時 2024-08-16 20:11:59
合計ジャッジ時間 3,704 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 8 ms
6,944 KB
testcase_04 AC 13 ms
9,472 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 8 ms
6,944 KB
testcase_10 AC 12 ms
8,832 KB
testcase_11 AC 13 ms
9,216 KB
testcase_12 AC 5 ms
6,940 KB
testcase_13 AC 3 ms
6,940 KB
testcase_14 AC 13 ms
9,088 KB
testcase_15 AC 7 ms
6,944 KB
testcase_16 AC 12 ms
8,832 KB
testcase_17 AC 12 ms
8,576 KB
testcase_18 AC 12 ms
8,320 KB
testcase_19 AC 9 ms
6,944 KB
testcase_20 AC 12 ms
8,704 KB
testcase_21 AC 11 ms
8,320 KB
testcase_22 AC 11 ms
8,064 KB
testcase_23 AC 3 ms
6,940 KB
testcase_24 AC 8 ms
6,940 KB
testcase_25 AC 6 ms
6,940 KB
testcase_26 AC 5 ms
6,940 KB
testcase_27 AC 8 ms
6,940 KB
testcase_28 AC 5 ms
6,944 KB
testcase_29 AC 5 ms
6,940 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 # 

#include <bits/stdc++.h>

using namespace std;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#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()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

typedef long long int ll;
typedef unsigned long long ul;
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 vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
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<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

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); } }

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 pow(long long n){
        assert(0 <= n);
        ModInt x = *this, r = 1;
        while(n){
            if(n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    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; }
};

template <typename T>
struct Combination{
    vector<T> memo, memoinv, inv;
    Combination(const int N) : memo(N + 1), memoinv(N + 1), inv(N + 1){
        T m = -1;
        long long mod = (m.val + 1LL);
        memo[0] = memo[1] = 1;
        memoinv[0] = memoinv[1] = 1;
        inv[1] = 1;
        for(int i = 2; i <= N; ++i){
            memo[i] = memo[i - 1] * i;
            inv[i] = mod - inv[mod % i] * (mod / i);
            memoinv[i] = memoinv[i - 1] * inv[i];
        }
    }
    inline T fact(const int n) const {
        return memo[n];
    }
    inline T factinv(const int n) const {
        return memoinv[n];
    }
    inline T ncr(const int n, const int r) const {
        if(n < r || r < 0) return 0;
        return (memo[n] * memoinv[r]) * memoinv[n - r];
    }
    inline T npr(const int n, const int r) const {
        if(n < r || r < 0) return 0;
        return memo[n] * memoinv[n - r];
    }
    // 重複組み合わせ
    inline T nhr(const int n, const int r) const {
        if(n == 0 && r == 0) return 1;
        return ncr(n + r - 1, r);
    }
    // ボールの数、一個以上必要な箱の数、制限がない箱の数 (箱区別あり)
    // a = 0 の場合は重複組み合わせ
    inline T choose(const int n, const int a, const int b = 0) const {
        if(n == 0) return !a;
        return ncr(n + b - 1, a + b - 1);
    }
    // +1 n 個, -1 m 個, 累積和 >= 0
    inline T cataran(const int n, const int m) const {
        return ncr(n + m, n) - ncr(n + m, n - 1);
    }
    // +1 n 個, -1 m 個, 累積和 > -k
    inline T cataran(const int n, const int m, const int k) const {
        if(m < k) return ncr(n + m, n);
        if(m < n + k) return ncr(n + m, n) - ncr(n + m, m - k);
        return 0;
    }
    // +1 n 個, -1 m 個, 累積和 < +k
    inline T cataran2(const int n, const int m, const int k) const {
        return cataran(m, n, k);
    }
};

void input(){
}

using mint = ModInt<MOD>;

void solve(){
    ll n; in(n);
    Combination<mint> comb(n);
    mint ans = 0;
    // A = (p_i == i)
    // B = (p_i == n - i)
    // ANS = A + B - (A U B) = 2A - (A U B)
    {
        // A
        rep(i, 2, n + 1){
            if(i % 2 == 0) ans += comb.factinv(i);
            else ans -= comb.factinv(i);
        }
        ans *= comb.fact(n);
        ans = comb.fact(n) - ans;
        ans *= 2;
    }

    {
        // A U B
        // OEIS A003471
        vector<mint> a(n + 4);
        a[0] = 1, a[1] = 0, a[2] = 0, a[3] = 0;
        rep(i, 4, n + 1){
            if(i % 2 == 0) a[i] = (i - 1) * a[i - 1] + 2 * (i - 2) * a[i - 4];
            else a[i] = (i - 1) * a[i - 1] + 2 * (i - 1) * a[i - 2];
        }
        ans -= comb.fact(n) - a[n];
    }
    out(ans);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);

    input();
    solve();
}
0