



import unittest

from .lib import (
    Matrix,
    Vector,
    axpy,
    square_zero_matrix,
    unit_basis_vector,
    zero_vector,
)







class     __lowerCAmelCase					(    unittest.TestCase		):



			def 					_lowerCamelCase (		self     :						List[str])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3])
						self.assertEqual(x.component(0)				,	1)
						self.assertEqual(x.component(2)				,	3)
						_UpperCAmelCase	 =     Vector()



			def 					_lowerCamelCase (		self     :						str)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([0, 0, 0, 0, 0, 1])
						self.assertEqual(str(A)				,	'(0,0,0,0,0,1)')



			def 					_lowerCamelCase (		self     :						str)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3, 4])
						self.assertEqual(len(A)				,	4)



			def 					_lowerCamelCase (		self     :						int)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2])
						_UpperCAmelCase	 =     Vector([1, 2, 3, 4, 5])
						_UpperCAmelCase	 =     Vector([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])
						_UpperCAmelCase	 =     Vector([1, -1, 1, -1, 2, -3, 4, -5])
						self.assertAlmostEqual(x.euclidean_length()				,	2.2_3_6				,	3)
						self.assertAlmostEqual(y.euclidean_length()				,	7.4_1_6				,	3)
						self.assertEqual(z.euclidean_length()				,	0)
						self.assertAlmostEqual(w.euclidean_length()				,	7.6_1_6				,	3)



			def 					_lowerCamelCase (		self     :						Any)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3])
						_UpperCAmelCase	 =     Vector([1, 1, 1])
						self.assertEqual((x + y).component(0)				,	2)
						self.assertEqual((x + y).component(1)				,	3)
						self.assertEqual((x + y).component(2)				,	4)



			def 					_lowerCamelCase (		self     :						Any)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3])
						_UpperCAmelCase	 =     Vector([1, 1, 1])
						self.assertEqual((x - y).component(0)				,	0)
						self.assertEqual((x - y).component(1)				,	1)
						self.assertEqual((x - y).component(2)				,	2)



			def 					_lowerCamelCase (		self     :						Union[str, Any])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3])
						_UpperCAmelCase	 =     Vector([2, -1, 4])  # for test of dot product
						_UpperCAmelCase	 =     Vector([1, -2, -1])
						self.assertEqual(str(x * 3.0)				,	'(3.0,6.0,9.0)')
						self.assertEqual((a * b)				,	0)



			def 					_lowerCamelCase (		self     :						Optional[Any])     ->					None:



						"""simple docstring"""






						self.assertEqual(str(zero_vector(10)).count('0')				,	10)



			def 					_lowerCamelCase (		self     :						Optional[int])     ->					None:



						"""simple docstring"""






						self.assertEqual(str(unit_basis_vector(3				,	1))				,	'(0,1,0)')



			def 					_lowerCamelCase (		self     :						Dict)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 2, 3])
						_UpperCAmelCase	 =     Vector([1, 0, 1])
						self.assertEqual(str(axpy(2				,	A				,	A))				,	'(3,4,7)')



			def 					_lowerCamelCase (		self     :						int)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 0, 0, 0, 0, 0])
						_UpperCAmelCase	 =     x.copy()
						self.assertEqual(str(A)				,	str(A))



			def 					_lowerCamelCase (		self     :						Optional[int])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Vector([1, 0, 0])
						x.change_component(0				,	0)
						x.change_component(1				,	1)
						self.assertEqual(str(A)				,	'(0,1,0)')



			def 					_lowerCamelCase (		self     :						int)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						self.assertEqual('|1,2,3|\n|2,4,5|\n|6,7,8|\n'				,	str(A))



			def 					_lowerCamelCase (		self     :						List[str])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						_UpperCAmelCase	 =     [[-3, -14, -10], [-5, -10, -5], [-2, -1, 0]]
						for x in range(a.height()):
									for y in range(a.width()):
												self.assertEqual(minors[x][y]				,	a.minor(A				,	A))



			def 					_lowerCamelCase (		self     :						Tuple)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						_UpperCAmelCase	 =     [[-3, 14, -10], [5, -10, 5], [-2, 1, 0]]
						for x in range(a.height()):
									for y in range(a.width()):
												self.assertEqual(cofactors[x][y]				,	a.cofactor(A				,	A))



			def 					_lowerCamelCase (		self     :						Optional[int])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						self.assertEqual(-5				,	a.determinant())



			def 					_lowerCamelCase (		self     :						List[str])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]				,	3				,	3)
						_UpperCAmelCase	 =     Vector([1, 2, 3])
						self.assertEqual('(14,32,50)'				,	str(a * x))
						self.assertEqual('|2,4,6|\n|8,10,12|\n|14,16,18|\n'				,	str(a * 2))



			def 					_lowerCamelCase (		self     :						str)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						a.change_component(0				,	2				,	5)
						self.assertEqual('|1,2,5|\n|2,4,5|\n|6,7,8|\n'				,	str(A))



			def 					_lowerCamelCase (		self     :						List[Any])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						self.assertEqual(7				,	a.component(2				,	1)				,	0.0_1)



			def 					_lowerCamelCase (		self     :						str)     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						_UpperCAmelCase	 =     Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]				,	3				,	3)
						self.assertEqual('|2,4,10|\n|4,8,10|\n|12,14,18|\n'				,	str(a + b))



			def 					_lowerCamelCase (		self     :						List[str])     ->					None:



						"""simple docstring"""






						_UpperCAmelCase	 =     Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]]				,	3				,	3)
						_UpperCAmelCase	 =     Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]]				,	3				,	3)
						self.assertEqual('|0,0,-4|\n|0,0,0|\n|0,0,-2|\n'				,	str(a - b))



			def 					_lowerCamelCase (		self     :						List[str])     ->					None:



						"""simple docstring"""






						self.assertEqual(
						    '|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n'				,	str(square_zero_matrix(5))				,	)


if __name__ == "__main__":
							unittest.main()





import os

# Precomputes a list of the 100 first triangular numbers
UpperCAmelCase__     = [int(0.5 * n * (n + 1)) for n in range(1, 101)]





def 							A			(  )       ->				List[str]:







			'''simple docstring'''
			_UpperCAmelCase	 =     os.path.dirname(os.path.realpath(_UpperCAmelCase					)					)
			_UpperCAmelCase	 =     os.path.join(_UpperCAmelCase							,     'words.txt'					)

			_UpperCAmelCase	 =     ''
			with open(_UpperCAmelCase					) as f:
						_UpperCAmelCase	 =     f.readline()

			_UpperCAmelCase	 =     [word.strip('"'					) for word in words.strip('\r\n'					).split(','					)]
			_UpperCAmelCase	 =     [
			    word
			    for word in [sum(ord(_UpperCAmelCase					) - 64 for x in word					) for word in words]
			    if word in TRIANGULAR_NUMBERS
			]
			return len(_UpperCAmelCase					)


if __name__ == "__main__":
							print(solution())
