



'''simple docstring'''






import os
def    lowerCamelCase__ (		_A = "input.txt"       ):






  with open(os.path.join(os.path.dirname(_A       )				,    _A       )       ) as input_file:
    a		:      Optional[int]       =  [
        [int(_A       ) for element in line.split(','       )]
        for line in input_file.readlines()
    ]

  a		:      List[Any]       =  len(_A       )
  a		:      str       =  len(matrix[0]       )

  a		:      Tuple       =  [[-1 for _ in range(_A       )] for _ in range(_A       )]
  for i in range(_A       ):
    a		:      List[Any]       =  matrix[i][0]

  for j in range(1				,    _A       ):
    for i in range(_A       ):
      a		:      Tuple       =  minimal_path_sums[i][j - 1] + matrix[i][j]

    for i in range(1				,    _A       ):
      a		:      int       =  min(
          minimal_path_sums[i][j]				,    minimal_path_sums[i - 1][j] + matrix[i][j]       )

    for i in range(rows - 2				,    -1				,    -1       ):
      a		:      Tuple       =  min(
          minimal_path_sums[i][j]				,    minimal_path_sums[i + 1][j] + matrix[i][j]       )

  return min(minimal_path_sums_row[-1] for minimal_path_sums_row in minimal_path_sums       )


if __name__ == "__main__":
     print(F"{solution() = }")










'''simple docstring'''






from typing import Dict, List, Optional, Union

import numpy as np

from .feature_extraction_utils import BatchFeature, FeatureExtractionMixin
from .utils import PaddingStrategy, TensorType, is_tf_tensor, is_torch_tensor, logging, to_numpy


lowerCAmelCase:      int		 =		logging.get_logger(__name__)

class 							a__(      lowerCamelCase__			):







    def __init__(   self				:						Union[str, Any]		,    __snake_case				:						int		,    __snake_case				:						int		,    __snake_case				:						float		,    **__snake_case				:						Optional[int]			):
      a		:      Optional[Any]       =  feature_size
      a		:      Tuple       =  sampling_rate
      a		:      str       =  padding_value

      a		:      Any       =  kwargs.pop('padding_side'		,    'right'			)
      a		:      Tuple       =  kwargs.pop('return_attention_mask'		,    __snake_case			)

      super().__init__(**__snake_case			)







    def     lowercase_ (   self				:						Tuple		,    __snake_case				:						Union[
            BatchFeature,
            List[BatchFeature],
            Dict[str, BatchFeature],
            Dict[str, List[BatchFeature]],
            List[Dict[str, BatchFeature]],
        ]		,    __snake_case				:						Union[bool, str, PaddingStrategy] = True		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						bool = False		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						Optional[bool] = None		,    __snake_case				:						Optional[Union[str, TensorType]] = None		,    ):
      # If we have a list of dicts, let's convert it in a dict of lists
      # We do this to allow using this method as a collate_fn function in PyTorch Dataloader
      if isinstance(__snake_case		,    (list, tuple)			) and isinstance(processed_features[0]		,    (dict, BatchFeature)			):
        a		:      Union[str, Any]       =  {
            key: [example[key] for example in processed_features] for key in processed_features[0].keys()
        }

      # The model's main input name, usually `input_values`, has be passed for padding
      if self.model_input_names[0] not in processed_features:
        raise ValueError(
            'You should supply an instance of `transformers.BatchFeature` or list of `transformers.BatchFeature`'
            F""" to this method that includes {self.model_input_names[0]}, but you provided"""
            F""" {list(processed_features.keys()			)}"""			)

      a		:      Tuple       =  processed_features[self.model_input_names[0]]
      a		:      str       =  (
          return_attention_mask if return_attention_mask is not None else self.return_attention_mask
      )

      if len(__snake_case			) == 0:
        if return_attention_mask:
          a		:      Dict       =  []
        return processed_features

      # If we have PyTorch/TF tensors or lists as inputs, we cast them as Numpy arrays
      # and rebuild them afterwards if no return_tensors is specified
      # Note that we lose the specific device the tensor may be on for PyTorch

      a		:      Optional[int]       =  required_input[0]
      if isinstance(__snake_case		,    (list, tuple)			):
        # first_element might be an empty list/tuple in some edge cases so we grab the first non empty element.
        a		:      Dict       =  0
        while len(required_input[index]			) == 0:
          index += 1
        if index < len(__snake_case			):
          a		:      Tuple       =  required_input[index][0]

      if return_tensors is None:
        if is_tf_tensor(__snake_case			):
          a		:      Any       =  'tf'
        elif is_torch_tensor(__snake_case			):
          a		:      Optional[Any]       =  'pt'
        elif isinstance(__snake_case		,    (int, float, list, tuple, np.ndarray)			):
          a		:      List[Any]       =  'np'
        else:
          raise ValueError(
              F"""type of {first_element} unknown: {type(__snake_case			)}. """
              'Should be one of a python, numpy, pytorch or tensorflow object.'			)

      for key, value in processed_features.items():
        if isinstance(value[0]		,    (int, float)			):
          a		:      List[Any]       =  to_numpy(__snake_case			)
        else:
          a		:      Tuple       =  [to_numpy(__snake_case			) for v in value]

        # Convert padding_strategy in PaddingStrategy
      a		:      Any       =  self._get_padding_strategies(padding=__snake_case		,    max_length=__snake_case			)

      a		:      int       =  processed_features[self.model_input_names[0]]

      a		:      Dict       =  len(__snake_case			)
      if not all(len(__snake_case			) == batch_size for v in processed_features.values()			):
        raise ValueError('Some items in the output dictionary have a different batch size than others.'			)

      a		:      Optional[int]       =  []
      for i in range(__snake_case			):
        a		:      int       =  {k: v[i] for k, v in processed_features.items()}
        # truncation
        a		:      List[str]       =  self._truncate(
            __snake_case		,    max_length=__snake_case		,    pad_to_multiple_of=__snake_case		,    truncation=__snake_case		,    )
        truncated_inputs.append(__snake_case			)

      if padding_strategy == PaddingStrategy.LONGEST:
        # make sure that `max_length` cannot be longer than the longest truncated length
        a		:      List[str]       =  max(len(input_slice[self.model_input_names[0]]			) for input_slice in truncated_inputs			)
        a		:      Tuple       =  PaddingStrategy.MAX_LENGTH

      a		:      int       =  {}
      for i in range(__snake_case			):
        # padding
        a		:      int       =  self._pad(
            truncated_inputs[i]		,    max_length=__snake_case		,    padding_strategy=__snake_case		,    pad_to_multiple_of=__snake_case		,    return_attention_mask=__snake_case		,    )

        for key, value in outputs.items():
          if key not in batch_outputs:
            a		:      int       =  []
          if value.dtype is np.dtype(np.floataa			):
            a		:      List[str]       =  value.astype(np.floataa			)
          batch_outputs[key].append(__snake_case			)

      return BatchFeature(__snake_case		,    tensor_type=__snake_case			)







    def     lowercase_ (   self				:						List[str]		,    __snake_case				:						Union[Dict[str, np.ndarray], BatchFeature]		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						PaddingStrategy = PaddingStrategy.DO_NOT_PAD		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						Optional[bool] = None		,    ):
      a		:      List[str]       =  processed_features[self.model_input_names[0]]

      if padding_strategy == PaddingStrategy.LONGEST:
        a		:      Any       =  len(__snake_case			)

      if max_length is not None and pad_to_multiple_of is not None and (max_length % pad_to_multiple_of != 0):
        a		:      Dict       =  ((max_length // pad_to_multiple_of) + 1) * pad_to_multiple_of

      a		:      List[Any]       =  padding_strategy != PaddingStrategy.DO_NOT_PAD and len(__snake_case			) < max_length

      if return_attention_mask and "attention_mask" not in processed_features:
        a		:      Union[str, Any]       =  np.ones(len(__snake_case			)		,    dtype=np.intaa			)

      if needs_to_be_padded:
        a		:      Tuple       =  max_length - len(__snake_case			)
        if self.padding_side == "right":
          if return_attention_mask:
            a		:      Any       =  np.pad(
                processed_features['attention_mask']		,    (0, difference)			)
          a		:      Optional[Any]       =  ((0, difference), (0, 0)) if self.feature_size > 1 else (0, difference)
          a		:      Optional[int]       =  np.pad(
              __snake_case		,    __snake_case		,    'constant'		,    constant_values=self.padding_value			)
        elif self.padding_side == "left":
          if return_attention_mask:
            a		:      Optional[int]       =  np.pad(
                processed_features['attention_mask']		,    (difference, 0)			)
          a		:      Optional[Any]       =  ((difference, 0), (0, 0)) if self.feature_size > 1 else (difference, 0)
          a		:      List[Any]       =  np.pad(
              __snake_case		,    __snake_case		,    'constant'		,    constant_values=self.padding_value			)
        else:
          raise ValueError('Invalid padding strategy:' + str(self.padding_side			)			)

      return processed_features







    def     lowercase_ (   self				:						List[str]		,    __snake_case				:						Union[Dict[str, np.ndarray], BatchFeature]		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						Optional[int] = None		,    __snake_case				:						Optional[bool] = None		,    ):
      if not truncation:
        return processed_features
      elif truncation and max_length is None:
        raise ValueError('When setting ``truncation=True``, make sure that ``max_length`` is defined.'			)

      a		:      Dict       =  processed_features[self.model_input_names[0]]

      # find `max_length` that fits `pad_to_multiple_of`
      if max_length is not None and pad_to_multiple_of is not None and (max_length % pad_to_multiple_of != 0):
        a		:      Optional[Any]       =  ((max_length // pad_to_multiple_of) + 1) * pad_to_multiple_of

      a		:      str       =  len(__snake_case			) > max_length

      if needs_to_be_truncated:
        a		:      str       =  processed_features[self.model_input_names[0]][:max_length]
        if "attention_mask" in processed_features:
          a		:      List[str]       =  processed_features['attention_mask'][:max_length]

      return processed_features







    def     lowercase_ (   self				:						Dict		,    __snake_case				:						Optional[Any]=False		,    __snake_case				:						Optional[int]=None			):

      # Get padding strategy
      if padding is not False:
        if padding is True:
          a		:      Union[str, Any]       =  PaddingStrategy.LONGEST  # Default to pad to the longest sequence in the batch
        elif not isinstance(__snake_case		,    __snake_case			):
          a		:      List[Any]       =  PaddingStrategy(__snake_case			)
        elif isinstance(__snake_case		,    __snake_case			):
          a		:      List[str]       =  padding
      else:
        a		:      Dict       =  PaddingStrategy.DO_NOT_PAD

      # Set max length if needed
      if max_length is None:
        if padding_strategy == PaddingStrategy.MAX_LENGTH:
          raise ValueError(
              F"""When setting ``padding={PaddingStrategy.MAX_LENGTH}``, make sure that max_length is defined"""			)

        # Test if we have a padding value
      if padding_strategy != PaddingStrategy.DO_NOT_PAD and (self.padding_value is None):
        raise ValueError(
            'Asking to pad but the feature_extractor does not have a padding value. Please select a value to use'
            ' as `padding_value`. For example: `feature_extractor.padding_value = 0.0`.'			)

      return padding_strategy