Bernoulli number (FPS)
(Mylib/Combinatorics/bernoulli_number_fps.cpp)

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• Last update: 2021-04-23 23:44:44+09:00
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Operations

• bernoulli_number_fps<Fps, ft>(int N) -> Fps

Requirements

Notes

Problems

References

Verified with

• test/yosupo-judge/bernoulli_number/main.test.cpp

Code

#pragma once

namespace haar_lib {
  template <typename Fps, const auto &ft>
  Fps bernoulli_number_fps(int N) {
    Fps x(N + 1);

    for (int i = 0; i <= N; ++i) x[i] = ft.inv_factorial(i + 1);
    x = x.inv();

    for (int i = 0; i <= N; ++i) x[i] *= ft.factorial(i);

    return x;
  }
}  // namespace haar_lib

#line 2 "Mylib/Combinatorics/bernoulli_number_fps.cpp"

namespace haar_lib {
  template <typename Fps, const auto &ft>
  Fps bernoulli_number_fps(int N) {
    Fps x(N + 1);

    for (int i = 0; i <= N; ++i) x[i] = ft.inv_factorial(i + 1);
    x = x.inv();

    for (int i = 0; i <= N; ++i) x[i] *= ft.factorial(i);

    return x;
  }
}  // namespace haar_lib

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