結果

問題 No.1307 Rotate and Accumulate
コンテスト
ユーザー Pachicobue
提出日時 2020-12-04 00:14:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 156 ms / 5,000 ms
コード長 10,512 bytes
コンパイル時間 2,488 ms
コンパイル使用メモリ 207,300 KB
最終ジャッジ日時 2025-01-16 14:57:24
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
sample AC * 3
other AC * 19
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 ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
using ld = long double;
template<typename T> using max_heap = std::priority_queue<T>;
template<typename T> using min_heap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template<const uint& mod>
class modint
{
public:
    modint() : m_val{0} {}
    modint(const ll v) : m_val{normll(v)} {}
    modint(const modint& m) = default;
    modint& operator =(const modint& m) { return m_val = m(), (*this); }
    modint& operator =(const ll v) { return m_val = normll(v), (*this); }
    modint operator+() const { return *this; }
    modint operator-() const { return modint{0} - (*this); }
    modint& operator+=(const modint& m) { return m_val = norm(m_val + m()), *this; }
    modint& operator-=(const modint& m) { return m_val = norm(m_val + mod - m()), *this; }
    modint& operator*=(const modint& m) { return m_val = normll((ll)m_val * (ll)m() % (ll)mod), *this; }
    modint& operator/=(const modint& m) { return *this *= m.inv(); }
    modint& operator+=(const ll val) { return *this += modint{val}; }
    modint& operator-=(const ll val) { return *this -= modint{val}; }
    modint& operator*=(const ll val) { return *this *= modint{val}; }
    modint& operator/=(const ll val) { return *this /= modint{val}; }
    modint operator+(const modint& m) const { return modint{*this} += m; }
    modint operator-(const modint& m) const { return modint{*this} -= m; }
    modint operator*(const modint& m) const { return modint{*this} *= m; }
    modint operator/(const modint& m) const { return modint{*this} /= m; }
    modint operator+(const ll v) const { return *this + modint{v}; }
    modint operator-(const ll v) const { return *this - modint{v}; }
    modint operator*(const ll v) const { return *this * modint{v}; }
    modint operator/(const ll v) const { return *this / modint{v}; }
    bool operator==(const modint& m) const { return m_val == m(); }
    bool operator!=(const modint& m) const { return not(*this == m); }
    friend modint operator+(const ll v, const modint& m) { return modint{v} + m; }
    friend modint operator-(const ll v, const modint& m) { return modint{v} - m; }
    friend modint operator*(const ll v, const modint& m) { return modint{v} * m; }
    friend modint operator/(const ll v, const modint& m) { return modint{v} / m; }
    friend std::istream& operator>>(std::istream& is, modint& m)
    {
        ll v;
        return is >> v, m = v, is;
    }
    friend std::ostream& operator<<(std::ostream& os, const modint& m) { return os << m(); }
    uint operator()() const { return m_val; }
    modint pow(ull n) const
    {
        modint ans = 1;
        for (modint x = *this; n > 0; n >>= 1, x *= x) {
            if (n & 1ULL) { ans *= x; }
        }
        return ans;
    }
    modint inv() const { return m_val <= 2000000 ? sinv(m_val) : pow(mod - 2); }
    static modint fact(const uint n)
    {
        static std::vector<modint> fs{1, 1};
        for (uint i = (uint)fs.size(); i <= n; i++) { fs.push_back(fs.back() * i); }
        return fs[n];
    }
    static modint ifact(const uint n)
    {
        static std::vector<modint> ifs{1, 1};
        for (uint i = (uint)ifs.size(); i <= n; i++) { ifs.push_back(ifs.back() * sinv(i)); }
        return ifs[n];
    }
    static modint perm(const int n, const int k) { return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k); }
    static modint comb(const int n, const int k) { return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k) * ifact(k); }
private:
    static constexpr uint norm(const uint x) { return x < mod ? x : x - mod; }
    static constexpr uint normll(const ll x) { return norm(uint(x % (ll)mod + (ll)mod)); }
    static modint sinv(const uint n)
    {
        static std::vector<modint> is{1, 1};
        for (uint i = (uint)is.size(); i <= n; i++) { is.push_back(-is[mod % i] * (mod / i)); }
        return is[n];
    }
    uint m_val;
};
constexpr int popcount(const ull v) { return v ? __builtin_popcountll(v) : 0; }
constexpr int log2p1(const ull v) { return v ? 64 - __builtin_clzll(v) : 0; }
constexpr int lsbp1(const ull v) { return __builtin_ffsll(v); }
constexpr int clog(const ull v) { return v ? log2p1(v - 1) : 0; }
constexpr ull ceil2(const ull v) { return 1ULL << clog(v); }
constexpr ull floor2(const ull v) { return v ? (1ULL << (log2p1(v) - 1)) : 0ULL; }
constexpr bool btest(const ull mask, const int ind) { return (mask >> ind) & 1ULL; }
template<typename T> void bset(T& mask, const int ind) { mask |= ((T)1 << ind); }
template<typename T> void breset(T& mask, const int ind) { mask &= ~((T)1 << ind); }
template<typename T> void bflip(T& mask, const int ind) { mask ^= ((T)1 << ind); }
template<typename T> void bset(T& mask, const int ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); }
template<const auto& mod, uint root>
class ntt
{
private:
    using mint = modint<mod>;
    static constexpr int D = 30;
    static void trans(std::vector<mint>& as, const int lg, const bool rev)
    {
        const int N = as.size();
        static std::vector<mint> rs[D];
        if (rs[lg].empty()) {
            rs[lg].resize(N, 1);
            const mint r = mint(root).pow((mod - 1) >> lg);
            for (int i = 1; i < N; i++) { rs[lg][i] = rs[lg][i - 1] * r; }
        }
        std::vector<mint> tmp(N);
        for (int w = (N >> 1); w > 0; w >>= 1) {
            for (int y = 0; y < (N >> 1); y += w) {
                const mint r = rev ? rs[lg][y == 0 ? 0 : N - y] : rs[lg][y];
                for (int x = 0; x < w; x++) {
                    const auto u = as[y << 1 | x], v = as[y << 1 | x | w]() * r;
                    tmp[y | x] = u + v, tmp[y | x | (N >> 1)] = u - v;
                }
            }
            std::swap(tmp, as);
        }
        if (rev) {
            for (int i = 0; i < N; i++) { as[i] /= mint(N); }
        }
    }
public:
    ntt() = delete;
    static std::vector<mint> convolute(std::vector<mint> as, std::vector<mint> bs)
    {
        const int need = as.size() + bs.size() - 1, lg = clog(need), size = 1UL << lg;
        as.resize(size), bs.resize(size);
        trans(as, lg, false), trans(bs, lg, false);
        for (int i = 0; i < size; i++) { as[i] *= bs[i]; }
        trans(as, lg, true);
        return std::vector<mint>(as.begin(), as.begin() + need);
    }
};
template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template<typename T> constexpr T inf_v = std::numeric_limits<T>::max() / 4;
template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884};
template<typename T> constexpr T TEN(const int n) { return n == 0 ? T{1} : TEN<T>(n - 1) * T{10}; }
template<typename F> struct fix : F
{
    fix(F&& f) : F{std::forward<F>(f)} {}
    template<typename... Args> auto operator()(Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); }
};
template<typename T, int n, int i = 0>
auto nd_array(int const (&szs)[n], const T x = T{})
{
    if constexpr (i == n) {
        return x;
    } else {
        return std::vector(szs[i], nd_array<T, n, i + 1>(szs, x));
    }
}
class printer
{
public:
    printer(std::ostream& os_ = std::cout) : m_os{os_} { m_os << std::fixed << std::setprecision(15); }
    template<typename... Args> int ln(const Args&... args) { return dump(args...), m_os << '\n', 0; }
    template<typename... Args> int el(const Args&... args) { return dump(args...), m_os << std::endl, 0; }
private:
    template<typename T> void dump(const T& v) { m_os << v; }
    template<typename T> void dump(const std::vector<T>& vs)
    {
        for (int i = 0; i < (int)vs.size(); i++) { m_os << (i ? " " : ""), dump(vs[i]); }
    }
    template<typename T> void dump(const std::vector<std::vector<T>>& vss)
    {
        for (int i = 0; i < (int)vss.size(); i++) { m_os << (0 <= i or i + 1 < (int)vss.size() ? "\n" : ""), dump(vss[i]); }
    }
    template<typename T, typename... Args> int dump(const T& v, const Args&... args) { return dump(v), m_os << ' ', dump(args...), 0; }
    std::ostream& m_os;
};
printer out;
class scanner
{
public:
    scanner(std::istream& is_ = std::cin) : m_is{is_} { m_is.tie(nullptr), std::ios::sync_with_stdio(false); }
    void fastio(const bool on)
    {
        if (on) {
            m_is.tie(nullptr), std::ios::sync_with_stdio(false);
        } else {
            m_is.tie(&std::cout), std::ios::sync_with_stdio(true);
        }
    }
    template<typename T> T val()
    {
        T v;
        return m_is >> v, v;
    }
    template<typename T> T val(const T offset) { return val<T>() - offset; }
    template<typename T> std::vector<T> vec(const int n)
    {
        return make_v<T>(n, [this]() { return val<T>(); });
    }
    template<typename T> std::vector<T> vec(const int n, const T offset)
    {
        return make_v<T>(n, [this, offset]() { return val<T>(offset); });
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1)
    {
        return make_v<std::vector<T>>(n0, [this, n1]() { return vec<T>(n1); });
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1, const T offset)
    {
        return make_v<std::vector<T>>(n0, [this, n1, offset]() { return vec<T>(n1, offset); });
    }
    template<typename... Args> auto tup() { return std::tuple<std::decay_t<Args>...>{val<Args>()...}; }
    template<typename... Args> auto tup(const Args&... offsets) { return std::tuple<std::decay_t<Args>...>{val<Args>(offsets)...}; }
private:
    template<typename T, typename F>
    std::vector<T> make_v(const int n, F f)
    {
        std::vector<T> ans;
        for (int i = 0; i < n; i++) { ans.push_back(f()); }
        return ans;
    }
    std::istream& m_is;
};
scanner in;
int main()
{
    static constexpr uint mod = 998244353;
    static constexpr uint root = 3;
    using mint = modint<mod>;
    const auto [N, Q] = in.tup<int, int>();
    const auto as = in.vec<int>(N);
    const auto rs = in.vec<int>(Q);
    std::vector<mint> vs(2 * N);
    for (int i = 0; i < 2 * N; i++) { vs[i] = as[i % N]; }
    std::vector<mint> cs(N + 1);
    for (int i = 0; i < Q; i++) { cs[N - rs[i]] += 1; }
    const auto ans = ntt<mod, root>::convolute(vs, cs);
    std::vector<mint> bs(N);
    for (int i = N; i < 2 * N; i++) { bs[i - N] = ans[i]; }
    out.ln(bs);
    return 0;
}
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