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Tried new TESTS for the binomial_coefficient (#10822)

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* Tried new TESTS for the binomial_coefficient

* Fix the tests request

* Update binomial_coefficient.py

* [pre-commit.ci] auto fixes from pre-commit.com hooks

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* Update binomial_coefficient.py

---------

Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
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Saptadeep Banerjee 2023-10-24 19:16:00 +05:30 committed by GitHub
parent a23dd7ecbe
commit 28f4c16132
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1 changed files with 44 additions and 2 deletions
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46
maths/binomial_coefficient.py
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@ -1,10 +1,48 @@
def binomial_coefficient(n: int, r: int) -> int: def binomial_coefficient(n: int, r: int) -> int:
""" """
Find binomial coefficient using pascals triangle. Find binomial coefficient using Pascal's triangle.
Calculate C(n, r) using Pascal's triangle.
:param n: The total number of items.
:param r: The number of items to choose.
:return: The binomial coefficient C(n, r).
>>> binomial_coefficient(10, 5) >>> binomial_coefficient(10, 5)
252 252
>>> binomial_coefficient(10, 0)
1
>>> binomial_coefficient(0, 10)
1
>>> binomial_coefficient(10, 10)
1
>>> binomial_coefficient(5, 2)
10
>>> binomial_coefficient(5, 6)
0
>>> binomial_coefficient(3, 5)
0
>>> binomial_coefficient(-2, 3)
Traceback (most recent call last):
...
ValueError: n and r must be non-negative integers
>>> binomial_coefficient(5, -1)
Traceback (most recent call last):
...
ValueError: n and r must be non-negative integers
>>> binomial_coefficient(10.1, 5)
Traceback (most recent call last):
...
TypeError: 'float' object cannot be interpreted as an integer
>>> binomial_coefficient(10, 5.1)
Traceback (most recent call last):
...
TypeError: 'float' object cannot be interpreted as an integer
""" """
if n < 0 or r < 0:
raise ValueError("n and r must be non-negative integers")
if 0 in (n, r):
return 1
c = [0 for i in range(r + 1)] c = [0 for i in range(r + 1)]
# nc0 = 1 # nc0 = 1
c[0] = 1 c[0] = 1
@ -17,4 +55,8 @@ def binomial_coefficient(n: int, r: int) -> int:
return c[r] return c[r]
print(binomial_coefficient(n=10, r=5)) if __name__ == "__main__":
from doctest import testmod
testmod()
print(binomial_coefficient(n=10, r=5))