



"""simple docstring"""






from __future__ import annotations

import math






def        snake_case_  (      A_					:		float,				A_					:		int						):


       '''simple docstring'''





       _lowerCamelCase						:				Tuple    			= u
       for i in range(1,				A_						):
              _lowerCamelCase						:				int    			= temp * (u - i)
       return temp






def        snake_case_  (      ):


       '''simple docstring'''





       _lowerCamelCase						:				Tuple    			= int(input('''enter the numbers of values: '''						)						)
       _lowerCamelCase						:				list[list[float]]    			= []
       for _ in range(A_						):
              y.append([]						)
       for i in range(A_						):
              for j in range(A_						):
                     y[i].append(A_						)
                     _lowerCamelCase						:				Optional[int]    			= 0

       print('''enter the values of parameters in a list: '''						)
       _lowerCamelCase						:				Optional[int]    			= list(map(A_,				input().split()						)						)

       print('''enter the values of corresponding parameters: '''						)
       for i in range(A_						):
              _lowerCamelCase						:				Dict    			= float(input()						)

       _lowerCamelCase						:				Tuple    			= int(input('''enter the value to interpolate: '''						)						)
       _lowerCamelCase						:				List[Any]    			= (value - x[0]) / (x[1] - x[0])

       # for calculating forward difference table

       for i in range(1,				A_						):
              for j in range(n - i						):
                     _lowerCamelCase						:				Optional[Any]    			= y[j + 1][i - 1] - y[j][i - 1]

       _lowerCamelCase						:				Any    			= y[0][0]
       for i in range(1,				A_						):
              summ += (ucal(A_,				A_						) * y[0][i]) / math.factorial(A_						)

       print(F'''the value at {value} is {summ}'''						)


if __name__ == "__main__":
   main()




'''simple docstring'''




import pytest

import datasets.config
from datasets.utils.info_utils import is_small_dataset







@pytest.mark.parametrize('''dataset_size'''		,				[None, 400 * 2**20, 600 * 2**20]						)
@pytest.mark.parametrize('''input_in_memory_max_size'''		,				['''default''', 0, 100 * 2**20, 900 * 2**20]						)
def 		lowerCAmelCase_				(   snake_case__		,				snake_case__		,				snake_case__						):




    '''simple docstring'''



    if input_in_memory_max_size != "default":
        monkeypatch.setattr(datasets.config		,				'''IN_MEMORY_MAX_SIZE'''		,				snake_case__						)
    A       :   Dict					=						datasets.config.IN_MEMORY_MAX_SIZE
    if input_in_memory_max_size == "default":
        assert in_memory_max_size == 0
    else:
        assert in_memory_max_size == input_in_memory_max_size
    if dataset_size and in_memory_max_size:
        A       :   Dict					=						dataset_size < in_memory_max_size
    else:
        A       :   Tuple					=						False
    A       :   int					=						is_small_dataset(snake_case__						)
    assert result == expected




