#588820 (C++17) No.1307 Rotate and Accumulate

提出ソース

結果

問題	No.1307 Rotate and Accumulate
ユーザー	hitonanode
提出日時	2020-12-04 00:03:18
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	138 ms / 5,000 ms
コード長	6,022 bytes
コンパイル時間	2,397 ms
コンパイル使用メモリ	208,640 KB
実行使用メモリ	18,852 KB
最終ジャッジ日時	2024-09-14 09:30:12
合計ジャッジ時間	5,561 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

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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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	117 ms 17,016 KB
testcase_09	AC	117 ms 17,240 KB
testcase_10	AC	72 ms 11,440 KB
testcase_11	AC	61 ms 10,800 KB
testcase_12	AC	72 ms 11,364 KB
testcase_13	AC	15 ms 6,944 KB
testcase_14	AC	34 ms 7,492 KB
testcase_15	AC	133 ms 18,832 KB
testcase_16	AC	138 ms 18,852 KB
testcase_17	AC	134 ms 18,720 KB
testcase_18	AC	130 ms 18,708 KB
testcase_19	AC	133 ms 18,800 KB
testcase_20	AC	134 ms 18,704 KB
testcase_21	AC	2 ms 6,944 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl
#else
#define dbg(x) {}
#endif
// Convolution by FFT (Fast Fourier Transform)
// Algorithm based on <http://kirika-comp.hatenablog.com/entry/2018/03/12/210446>
// Verified: ATC001C (168 ms) <https://atcoder.jp/contests/atc001/submissions/9243440>
using cmplx = std::complex<double>;
void fft(int N, std::vector<cmplx> &a, double dir) {
    int i = 0;
    for (int j = 1; j < N - 1; j++) {
        for (int k = N >> 1; k > (i ^= k); k >>= 1)
            ;
        if (j < i) std::swap(a[i], a[j]);
    }

    std::vector<cmplx> zeta_pow(N);
    for (int i = 0; i < N; i++) {
        double theta = M_PI / N * i * dir;
        zeta_pow[i] = {cos(theta), sin(theta)};
    }

    for (int m = 1; m < N; m *= 2) {
        for (int y = 0; y < m; y++) {
            cmplx fac = zeta_pow[N / m * y];
            for (int x = 0; x < N; x += 2 * m) {
                int u = x + y;
                int v = x + y + m;
                cmplx s = a[u] + fac * a[v];
                cmplx t = a[u] - fac * a[v];
                a[u] = s;
                a[v] = t;
            }
        }
    }
}
template <typename T> std::vector<cmplx> conv_cmplx(const std::vector<T> &a, const std::vector<T> &b) {
    int N = 1;
    while (N < (int)a.size() + (int)b.size()) N *= 2;
    std::vector<cmplx> a_(N), b_(N);
    for (int i = 0; i < (int)a.size(); i++) a_[i] = a[i];
    for (int i = 0; i < (int)b.size(); i++) b_[i] = b[i];
    fft(N, a_, 1);
    fft(N, b_, 1);
    for (int i = 0; i < N; i++) a_[i] *= b_[i];
    fft(N, a_, -1);
    for (int i = 0; i < N; i++) a_[i] /= N;
    return a_;
}
// retval[i] = \sum_j a[j]b[i - j]
// Requirement: length * max(a) * max(b) < 10^15
template <typename T> std::vector<long long int> fftconv(const std::vector<T> &a, const std::vector<T> &b) {
    std::vector<cmplx> ans = conv_cmplx(a, b);
    std::vector<long long int> ret(ans.size());
    for (int i = 0; i < (int)ans.size(); i++) ret[i] = floor(ans[i].real() + 0.5);
    ret.resize(a.size() + b.size() - 1);
    return ret;
}

int main()
{
    int N, Q;
    cin >> N >> Q;
    vector<long long> A(N), R(Q);
    cin >> A >> R;
    vector<long long> c(N);
    for (auto i : R) {
        c[(N - i) % N]++;
    }
    auto cv = fftconv(A, c);
    FOR(i, N, cv.size()) cv[i % N] += cv[i];
    REP(i, N) cout << cv[i] << ' ';
    cout << '\n';
}

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結果

テストケース

ソースコード