


'''simple docstring'''
def       a_				(	UpperCamelCase_ ):
							A_			    =		generate_pascal_triangle(UpperCamelCase_ )
							for row_idx in range(UpperCamelCase_ ):
														# Print left spaces
														for _ in range(num_rows - row_idx - 1 ):
																					print(end=" " )
														# Print row values
														for col_idx in range(row_idx + 1 ):
																					if col_idx != row_idx:
																												print(triangle[row_idx][col_idx]						,  end=" " )
																					else:
																												print(triangle[row_idx][col_idx]						,  end="" )
														print()







def       a_				(	UpperCamelCase_ ):

							if not isinstance(UpperCamelCase_						,  UpperCamelCase_ ):
														raise TypeError("The input value of 'num_rows' should be 'int'" )

							if num_rows == 0:
														return []
							elif num_rows < 0:
														raise ValueError(
														    "The input value of 'num_rows' should be greater than or equal to 0" )

							A_			    =		[]
							for current_row_idx in range(UpperCamelCase_ ):
														A_			    =		populate_current_row(UpperCamelCase_						,  UpperCamelCase_ )
														triangle.append(UpperCamelCase_ )
							return triangle







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							A_			    =		[-1] * (current_row_idx + 1)
							# first and last elements of current row are equal to 1
							A_    ,					A_			    =		1, 1
							for current_col_idx in range(1						,  UpperCamelCase_ ):
														calculate_current_element(
														    UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_ )
							return current_row







def       a_				(	UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_						,  ):
							A_			    =		triangle[current_row_idx - 1][current_col_idx - 1]
							A_			    =		triangle[current_row_idx - 1][current_col_idx]
							A_			    =		above_to_left_elt + above_to_right_elt







def       a_				(	UpperCamelCase_ ):

							if not isinstance(UpperCamelCase_						,  UpperCamelCase_ ):
														raise TypeError("The input value of 'num_rows' should be 'int'" )

							if num_rows == 0:
														return []
							elif num_rows < 0:
														raise ValueError(
														    "The input value of 'num_rows' should be greater than or equal to 0" )

							A_			    =		[[1]]

							for row_index in range(1						,  UpperCamelCase_ ):
														A_			    =		[0] + result[-1] + [0]
														A_			    =		row_index + 1
														# Calculate the number of distinct elements in a row
														A_			    =		sum(divmod(UpperCamelCase_						,  2 ) )
														A_			    =		[
														    temp_row[i - 1] + temp_row[i] for i in range(1						,  distinct_elements + 1 )
														]
														A_			    =		row_first_half[: (row_index + 1) // 2]
														row_second_half.reverse()
														A_			    =		row_first_half + row_second_half
														result.append(UpperCamelCase_ )

							return result







def       a_				(	):
							from collections.abc import Callable
							from timeit import timeit

							def benchmark_a_function(UpperCamelCase_						,  UpperCamelCase_ ) -> None:
														A_			    =		f"{func.__name__}({value})"
														A_			    =		timeit(f"__main__.{call}"						,  setup="import __main__" )
														# print(f"{call:38} = {func(value)} -- {timing:.4f} seconds")
														print(f"{call:38} -- {timing:.4f} seconds" )

							for value in range(1_5 ):  # (1, 7, 14):
														for func in (generate_pascal_triangle, generate_pascal_triangle_optimized):
																					benchmark_a_function(UpperCamelCase_						,  UpperCamelCase_ )
														print()


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							benchmark()









'''simple docstring'''
import string
from math import logaa







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							A_			    =		document.translate(
							    str.maketrans(""						,  ""						,  string.punctuation ) ).replace("\n"						,  "" )
							A_			    =		document_without_punctuation.split(" " )  # word tokenization
							return len([word for word in tokenize_document if word.lower() == term.lower()] )







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							A_			    =		corpus.lower().translate(
							    str.maketrans(""						,  ""						,  string.punctuation ) )  # strip all punctuation and replace it with ''
							A_			    =		corpus_without_punctuation.split("\n" )
							A_			    =		term.lower()
							return (len([doc for doc in docs if term in doc] ), len(UpperCamelCase_ ))







def       a_				(	UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_=False ):
							if smoothing:
														if n == 0:
																					raise ValueError("log10(0) is undefined." )
														return round(1 + logaa(n / (1 + df) )						,  3 )

							if df == 0:
														raise ZeroDivisionError("df must be > 0" )
							elif n == 0:
														raise ValueError("log10(0) is undefined." )
							return round(logaa(n / df )						,  3 )







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							return round(tf * idf						,  3 )





