





def      lowerCAmelCase_ (       __a	,    __a	,    __a		)     ->		int:







  """simple docstring"""





  def update_area_of_max_square(__a	,    __a		) -> int:
    # BASE CASE
    if row >= rows or col >= cols:
      return 0

    lowerCamelCase__:      Union[str, Any]			  =update_area_of_max_square(__a	,    col + 1		)
    lowerCamelCase__:      Dict			  =update_area_of_max_square(row + 1	,    col + 1		)
    lowerCamelCase__:      List[str]			  =update_area_of_max_square(row + 1	,    __a		)

    if mat[row][col]:
      lowerCamelCase__:      Tuple			  =1 + min([right, diagonal, down]		)
      lowerCamelCase__:      str			  =max(largest_square_area[0]	,    __a		)
      return sub_problem_sol
    else:
      return 0

  lowerCamelCase__:      Dict			  =[0]
  update_area_of_max_square(0	,    0		)
  return largest_square_area[0]





def      lowerCAmelCase_ (       __a	,    __a	,    __a		)     ->		int:







  """simple docstring"""





  def update_area_of_max_square_using_dp_array(
      __a	,    __a	,    __a		) -> int:
    if row >= rows or col >= cols:
      return 0
    if dp_array[row][col] != -1:
      return dp_array[row][col]

    lowerCamelCase__:      str			  =update_area_of_max_square_using_dp_array(__a	,    col + 1	,    __a		)
    lowerCamelCase__:      str			  =update_area_of_max_square_using_dp_array(row + 1	,    col + 1	,    __a		)
    lowerCamelCase__:      Dict			  =update_area_of_max_square_using_dp_array(row + 1	,    __a	,    __a		)

    if mat[row][col]:
      lowerCamelCase__:      List[Any]			  =1 + min([right, diagonal, down]		)
      lowerCamelCase__:      Optional[int]			  =max(largest_square_area[0]	,    __a		)
      lowerCamelCase__:      Tuple			  =sub_problem_sol
      return sub_problem_sol
    else:
      return 0

  lowerCamelCase__:      Union[str, Any]			  =[0]
  lowerCamelCase__:      Optional[int]			  =[[-1] * cols for _ in range(__a		)]
  update_area_of_max_square_using_dp_array(0	,    0	,    __a		)

  return largest_square_area[0]





def      lowerCAmelCase_ (       __a	,    __a	,    __a		)     ->		int:







  """simple docstring"""





  lowerCamelCase__:      Optional[Any]			  =[[0] * (cols + 1) for _ in range(rows + 1		)]
  lowerCamelCase__:      Tuple			  =0
  for row in range(rows - 1	,    -1	,    -1		):
    for col in range(cols - 1	,    -1	,    -1		):
      lowerCamelCase__:      int			  =dp_array[row][col + 1]
      lowerCamelCase__:      Union[str, Any]			  =dp_array[row + 1][col + 1]
      lowerCamelCase__:      Any			  =dp_array[row + 1][col]

      if mat[row][col] == 1:
        lowerCamelCase__:      str			  =1 + min(__a	,    __a	,    __a		)
        lowerCamelCase__:      Tuple			  =max(dp_array[row][col]	,    __a		)
      else:
        lowerCamelCase__:      Tuple			  =0

  return largest_square_area





def      lowerCAmelCase_ (       __a	,    __a	,    __a		)     ->		int:







  """simple docstring"""





  lowerCamelCase__:      Union[str, Any]			  =[0] * (cols + 1)
  lowerCamelCase__:      Dict			  =[0] * (cols + 1)
  lowerCamelCase__:      List[Any]			  =0
  for row in range(rows - 1	,    -1	,    -1		):
    for col in range(cols - 1	,    -1	,    -1		):
      lowerCamelCase__:      Optional[int]			  =current_row[col + 1]
      lowerCamelCase__:      int			  =next_row[col + 1]
      lowerCamelCase__:      Optional[int]			  =next_row[col]

      if mat[row][col] == 1:
        lowerCamelCase__:      Dict			  =1 + min(__a	,    __a	,    __a		)
        lowerCamelCase__:      Dict			  =max(current_row[col]	,    __a		)
      else:
        lowerCamelCase__:      Tuple			  =0
    lowerCamelCase__:      List[Any]			  =current_row

  return largest_square_area


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(largest_square_area_in_matrix_bottom_up(2, 2, [[1, 1], [1, 1]]))







"""simple docstring"""






from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm







def      _snake_case			(				lowercase__							,    lowercase__		):
				return math.sqrt(sum(pow(a - b							,    2		) for a, b in zip(lowercase__							,    lowercase__		)		)		)







def      _snake_case			(				lowercase__							,    lowercase__		):

				if dataset.ndim != value_array.ndim:
								_lowerCamelCase     :			Tuple    =    (
								    'Wrong input data\'s dimensions... '
								    f'''dataset : {dataset.ndim}, value_array : {value_array.ndim}'''
								)
								raise ValueError(lowercase__		)

				try:
								if dataset.shape[1] != value_array.shape[1]:
												_lowerCamelCase     :			Optional[int]    =    (
												    'Wrong input data\'s shape... '
												    f'''dataset : {dataset.shape[1]}, value_array : {value_array.shape[1]}'''
												)
												raise ValueError(lowercase__		)
				except IndexError:
								if dataset.ndim != value_array.ndim:
												raise TypeError('Wrong shape'		)

				if dataset.dtype != value_array.dtype:
								_lowerCamelCase     :			int    =    (
								    'Input data have different datatype... '
								    f'''dataset : {dataset.dtype}, value_array : {value_array.dtype}'''
								)
								raise TypeError(lowercase__		)

				_lowerCamelCase     :			Optional[int]    =    []

				for value in value_array:
								_lowerCamelCase     :			Tuple    =    euclidean(lowercase__							,    dataset[0]		)
								_lowerCamelCase     :			Union[str, Any]    =    dataset[0].tolist()

								for dataset_value in dataset[1:]:
												_lowerCamelCase     :			Optional[Any]    =    euclidean(lowercase__							,    lowercase__		)

												if dist > temp_dist:
																_lowerCamelCase     :			List[Any]    =    temp_dist
																_lowerCamelCase     :			List[str]    =    dataset_value.tolist()

								answer.append([vector, dist]		)

				return answer







def      _snake_case			(				lowercase__							,    lowercase__		):
				return np.dot(lowercase__							,    lowercase__		) / (norm(lowercase__		) * norm(lowercase__		))


if __name__ == "__main__":
			import doctest

			doctest.testmod()