






def        A__					(						lowerCamelCase						)  ->	list[int]:
				UpperCamelCase_:							List[Any]	=						[0 for i in range(len(lowerCamelCase						)						)]

				# initialize interval's left pointer and right pointer
				UpperCamelCase_:							str	=						0, 0

				for i in range(1     ,    len(lowerCamelCase						)						):
								# case when current index is inside the interval
								if i <= right_pointer:
												UpperCamelCase_:							Optional[int]	=						min(right_pointer - i + 1     ,    z_result[i - left_pointer]						)
												UpperCamelCase_:							Dict	=						min_edge

								while go_next(lowerCamelCase     ,    lowerCamelCase     ,    lowerCamelCase						):
												z_result[i] += 1

								# if new index's result gives us more right interval,
								# we've to update left_pointer and right_pointer
								if i + z_result[i] - 1 > right_pointer:
												UpperCamelCase_:							List[Any]	=						i, i + z_result[i] - 1

				return z_result







def        A__					(						lowerCamelCase     ,    lowerCamelCase     ,    lowerCamelCase						)  ->	bool:
				return i + z_result[i] < len(lowerCamelCase						) and s[z_result[i]] == s[i + z_result[i]]







def        A__					(						lowerCamelCase     ,    lowerCamelCase						)  ->	int:
				UpperCamelCase_:							List[Any]	=						0
				# concatenate 'pattern' and 'input_str' and call z_function
				# with concatenated string
				UpperCamelCase_:							Dict	=						z_function(pattern + input_str						)

				for val in z_result:
								# if value is greater then length of the pattern string
								# that means this index is starting position of substring
								# which is equal to pattern string
								if val >= len(lowerCamelCase						):
												answer += 1

				return answer


if __name__ == "__main__":
							import doctest

							doctest.testmod()








import inspect
import os
import sys
import unittest

import accelerate
from accelerate.test_utils import execute_subprocess_async, require_tpu

class        _UpperCamelCase				(					unittest.TestCase  ):






			'''simple docstring'''

			def       lowerCAmelCase__	(       self :       Optional[int]      ):
							UpperCamelCase_:							List[Any]	=						inspect.getfile(accelerate.test_utils      )
							UpperCamelCase_:							List[str]	=						os.path.sep.join(mod_file.split(os.path.sep      )[:-1] + ["""scripts""", """test_script.py"""]      )
							UpperCamelCase_:							str	=						os.path.sep.join(inspect.getfile(self.__class__      ).split(os.path.sep      )[:-1]      )




			@require_tpu
			def       lowerCAmelCase__	(       self :       Optional[int]      ):
							UpperCamelCase_:							Any	=						f'''
            {self.test_dir}/xla_spawn.py
            --num_cores 8
            {self.test_file_path}
        '''.split()
							UpperCamelCase_:							Dict	=						[sys.executable] + distributed_args
							execute_subprocess_async(snake_case_						,	env=os.environ.copy()      )






