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Python package for combination calculation

Project description

combination_py

Python package for combination calculation

Installation

Use the package manager pip to install combination_py.

pip install combination

Usage

import combination

# combination.Combination(n_max, mod=10**9+7)
comb = combination.Combination(10 ** 6)

# comb.nCr(n, r)
comb.nCr(10, 5) # return 252

# comb.nPr(n, r)
comb.nPr(10, 5) # return 30240

# comb.nHr(n, r)
comb.nHr(10, 5) # return 2002

# 上昇階乗冪 n * (n + 1) * ... * (n + r - 1)
# comb.rising_factorial(n, r)
comb.rising_factorial(10, 5) # return 240240

# 第1種スターリング数
# n要素をk個の巡回列に分割する場合の数
# comb.stirling_first(n, k)
comb.stirling_first(10, 5) # return 269325

# 第2種スターリング数
# n要素を区別のないkグループに分割する場合の数
# comb.stirling_second(n, k)
comb.stirling_second(10, 5) # return 42525

# n要素を区別のあるkグループに分割する場合の数
# comb.balls_and_boxes_3(n, k)
comb.balls_and_boxes_3(10, 5) # return 5103000

# ベルヌーイ数
# comb.bernoulli(n)
comb.bernoulli(10) # return 348484851

# n要素をk個の空でない順序付き集合に分割する場合の数
# comb.lah(n, k)
comb.lah(10, 5) # return 3810240

# n要素をkグループ以下に分割する場合の数
# comb.bell(n, k)
comb.bell(10, 5) # return 86472

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

Please make sure to update tests as appropriate.

License

Apache License 2.0

Project details


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