





'''simple docstring'''
from __future__ import annotations
def 							lowercase__  (  __lowercase		:    list[list[int]]	)					-> int:



       """simple docstring"""






       for i in range(1							,    len(matrix[0]	)	):
              matrix[0][i] += matrix[0][i - 1]

       # preprocessing the first column
       for i in range(1							,    len(__lowercase	)	):
              matrix[i][0] += matrix[i - 1][0]

       # updating the path cost for current position
       for i in range(1							,    len(__lowercase	)	):
              for j in range(1							,    len(matrix[0]	)	):
                     matrix[i][j] += min(matrix[i - 1][j]							,    matrix[i][j - 1]	)

       return matrix[-1][-1]


if __name__ == "__main__":
    import doctest

    doctest.testmod()







'''simple docstring'''

from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowercase__		:     Tuple			=							{'configuration_mmbt': ['MMBTConfig']}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowercase__		:     int			=							['MMBTForClassification', 'MMBTModel', 'ModalEmbeddings']


if TYPE_CHECKING:
   from .configuration_mmbt import MMBTConfig

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_mmbt import MMBTForClassification, MMBTModel, ModalEmbeddings

else:
   import sys

   lowercase__		:     List[Any]			=							_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)



