





'''simple docstring'''







import numpy as np





def 						snake_case__ (lowerCAmelCase_	):
    UpperCamelCase__    ,  UpperCamelCase__      =			a.shape
    UpperCamelCase__      =			min(lowerCAmelCase_					,  lowerCAmelCase_	)
    UpperCamelCase__      =			np.eye(lowerCAmelCase_	)
    UpperCamelCase__      =			a.copy()

    for k in range(t - 1	):
        # select a column of modified matrix A':
        UpperCamelCase__      =			r[k:, [k]]
        # construct first basis vector
        UpperCamelCase__      =			np.zeros_like(lowerCAmelCase_	)
        UpperCamelCase__      =			1.0
        # determine scaling factor
        UpperCamelCase__      =			np.linalg.norm(lowerCAmelCase_	)
        # construct vector v for Householder reflection
        UpperCamelCase__      =			x + np.sign(x[0]	) * alpha * ea
        v /= np.linalg.norm(lowerCAmelCase_	)

        # construct the Householder matrix
        UpperCamelCase__      =			np.eye(m - k	) - 2.0 * v @ v.T
        # pad with ones and zeros as necessary
        UpperCamelCase__      =			np.block([[np.eye(lowerCAmelCase_	), np.zeros((k, m - k)	)], [np.zeros((m - k, k)	), q_k]]	)

        UpperCamelCase__      =			q @ q_k.T
        UpperCamelCase__      =			q_k @ r

    return q, r


if __name__ == "__main__":
      import doctest

      doctest.testmod()









'''simple docstring'''







def 						snake_case__ (lowerCAmelCase_	):
    for i, _ in enumerate(lowerCAmelCase_	):
        if (i % 2 == 1) == (nums[i - 1] > nums[i]):
            UpperCamelCase__    ,  UpperCamelCase__      =			nums[i], nums[i - 1]

    return nums


if __name__ == "__main__":
      print('Enter the array elements:')
      lowercase__     :  Optional[int]    					=			list(map(int, input().split()))
      print('The unsorted array is:')
      print(array)
      print('Array after Wiggle sort:')
      print(wiggle_sort(array))




