


def 					UpperCamelCase   (      __magic_name__	:				str	)  ->    bool:
		"""simple docstring"""




		if not all(x.isalpha() for x in string	):
				raise ValueError("""String must only contain alphabetic characters."""	)

		lowercase__	     =						sorted(string.lower()	)
		return len(__magic_name__	) == len(set(__magic_name__	)	)


if __name__ == "__main__":
	A			:						Any        =  input('Enter a string ').strip()

	A			:						int        =  is_isogram(input_str)
	print(F'{input_str} is {"an" if isogram else "not an"} isogram.')









import torch
from torch import nn





class 					A__     (     nn.Module ):

     '''simple docstring'''






     def __init__( self      :    List[str]   ,						_SCREAMING_SNAKE_CASE      :    List[Any]   ,						_SCREAMING_SNAKE_CASE      :    Optional[int]   ,						_SCREAMING_SNAKE_CASE      :    Tuple   ,						_SCREAMING_SNAKE_CASE      :    str   ,						_SCREAMING_SNAKE_CASE      :    Optional[int]=1   ,						_SCREAMING_SNAKE_CASE      :    List[str]=False ):






           """simple docstring"""




           super().__init__()

           UpperCamelCase					       =  n_token
           UpperCamelCase					       =  d_embed
           UpperCamelCase					       =  d_proj

           UpperCamelCase					       =  cutoffs + [n_token]
           UpperCamelCase					       =  [0] + self.cutoffs
           UpperCamelCase					       =  div_val

           UpperCamelCase					       =  self.cutoffs[0]
           UpperCamelCase					       =  len(self.cutoffs ) - 1
           UpperCamelCase					       =  self.shortlist_size + self.n_clusters

           if self.n_clusters > 0:
                 UpperCamelCase					       =  nn.Parameter(torch.zeros(self.n_clusters   ,						self.d_embed ) )
                 UpperCamelCase					       =  nn.Parameter(torch.zeros(self.n_clusters ) )

           UpperCamelCase					       =  nn.ModuleList()
           UpperCamelCase					       =  nn.ParameterList()

           if div_val == 1:
                 for i in range(len(self.cutoffs ) ):
                       if d_proj != d_embed:
                             self.out_projs.append(nn.Parameter(torch.FloatTensor(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE ) ) )
                       else:
                             self.out_projs.append(_SCREAMING_SNAKE_CASE )

                 self.out_layers.append(nn.Linear(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE ) )
           else:
                 for i in range(len(self.cutoffs ) ):
                       UpperCamelCase       ,  UpperCamelCase					       =  self.cutoff_ends[i], self.cutoff_ends[i + 1]
                       UpperCamelCase					       =  d_embed // (div_val**i)

                       self.out_projs.append(nn.Parameter(torch.FloatTensor(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE ) ) )

                       self.out_layers.append(nn.Linear(_SCREAMING_SNAKE_CASE   ,						r_idx - l_idx ) )

           UpperCamelCase					       =  keep_order







     def   _SCREAMING_SNAKE_CASE     ( self      :    Dict   ,						_SCREAMING_SNAKE_CASE      :    Optional[Any]   ,						_SCREAMING_SNAKE_CASE      :    Dict   ,						_SCREAMING_SNAKE_CASE      :    List[Any]   ,						_SCREAMING_SNAKE_CASE      :    Dict ):






           """simple docstring"""




           if proj is None:
                 UpperCamelCase					       =  nn.functional.linear(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						bias=_SCREAMING_SNAKE_CASE )
           else:
                 # if CUDA_MAJOR <= 9 and CUDA_MINOR <= 1:
                 UpperCamelCase					       =  nn.functional.linear(_SCREAMING_SNAKE_CASE   ,						proj.t().contiguous() )
                 UpperCamelCase					       =  nn.functional.linear(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						bias=_SCREAMING_SNAKE_CASE )
                 # else:
                 #     logit = torch.einsum('bd,de,ev->bv', (hidden, proj, weight.t()))
                 #     if bias is not None:
                 #         logit = logit + bias

           return logit







     def   _SCREAMING_SNAKE_CASE     ( self      :    List[Any]   ,						_SCREAMING_SNAKE_CASE      :    Union[str, Any]   ,						_SCREAMING_SNAKE_CASE      :    Optional[Any]=None   ,						_SCREAMING_SNAKE_CASE      :    Dict=False ):






           """simple docstring"""




           if labels is not None:
                 # Shift so that tokens < n predict n
                 UpperCamelCase					       =  hidden[..., :-1, :].contiguous()
                 UpperCamelCase					       =  labels[..., 1:].contiguous()
                 UpperCamelCase					       =  hidden.view(-1   ,						hidden.size(-1 ) )
                 UpperCamelCase					       =  labels.view(-1 )
                 if hidden.size(0 ) != labels.size(0 ):
                       raise RuntimeError('Input and labels should have the same size in the batch dimension.' )
           else:
                 UpperCamelCase					       =  hidden.view(-1   ,						hidden.size(-1 ) )

           if self.n_clusters == 0:
                 UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						self.out_layers[0].weight   ,						self.out_layers[0].bias   ,						self.out_projs[0] )
                 if labels is not None:
                       UpperCamelCase					       =  labels != -100
                       UpperCamelCase					       =  torch.zeros_like(_SCREAMING_SNAKE_CASE   ,						dtype=hidden.dtype   ,						device=hidden.device )
                       UpperCamelCase					       =  (
                           -nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=-1 )[mask].gather(1   ,						labels[mask].unsqueeze(1 ) ).squeeze(1 )
                       )
                 else:
                       UpperCamelCase					       =  nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=-1 )
           else:
                 # construct weights and biases
                 UpperCamelCase       ,  UpperCamelCase					       =  [], []
                 for i in range(len(self.cutoffs ) ):
                       if self.div_val == 1:
                             UpperCamelCase       ,  UpperCamelCase					       =  self.cutoff_ends[i], self.cutoff_ends[i + 1]
                             UpperCamelCase					       =  self.out_layers[0].weight[l_idx:r_idx]
                             UpperCamelCase					       =  self.out_layers[0].bias[l_idx:r_idx]
                       else:
                             UpperCamelCase					       =  self.out_layers[i].weight
                             UpperCamelCase					       =  self.out_layers[i].bias

                       if i == 0:
                             UpperCamelCase					       =  torch.cat([weight_i, self.cluster_weight]   ,						dim=0 )
                             UpperCamelCase					       =  torch.cat([bias_i, self.cluster_bias]   ,						dim=0 )

                       weights.append(_SCREAMING_SNAKE_CASE )
                       biases.append(_SCREAMING_SNAKE_CASE )

                 UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase					       =  weights[0], biases[0], self.out_projs[0]

                 UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE )
                 UpperCamelCase					       =  nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=1 )

                 if labels is None:
                       UpperCamelCase					       =  hidden.new_empty((head_logit.size(0 ), self.n_token) )
                 else:
                       UpperCamelCase					       =  torch.zeros_like(_SCREAMING_SNAKE_CASE   ,						dtype=hidden.dtype   ,						device=hidden.device )

                 UpperCamelCase					       =  0
                 UpperCamelCase					       =  [0] + self.cutoffs
                 for i in range(len(_SCREAMING_SNAKE_CASE ) - 1 ):
                       UpperCamelCase       ,  UpperCamelCase					       =  cutoff_values[i], cutoff_values[i + 1]

                       if labels is not None:
                             UpperCamelCase					       =  (labels >= l_idx) & (labels < r_idx)
                             UpperCamelCase					       =  mask_i.nonzero().squeeze()

                             if indices_i.numel() == 0:
                                   continue

                             UpperCamelCase					       =  labels.index_select(0   ,						_SCREAMING_SNAKE_CASE ) - l_idx
                             UpperCamelCase					       =  head_logprob.index_select(0   ,						_SCREAMING_SNAKE_CASE )
                             UpperCamelCase					       =  hidden.index_select(0   ,						_SCREAMING_SNAKE_CASE )
                       else:
                             UpperCamelCase					       =  hidden

                       if i == 0:
                             if labels is not None:
                                   UpperCamelCase					       =  head_logprob_i.gather(1   ,						target_i[:, None] ).squeeze(1 )
                             else:
                                   UpperCamelCase					       =  head_logprob[:, : self.cutoffs[0]]
                       else:
                             UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase					       =  weights[i], biases[i], self.out_projs[i]

                             UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE )
                             UpperCamelCase					       =  nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=1 )
                             UpperCamelCase					       =  self.cutoffs[0] + i - 1  # No probability for the head cluster
                             if labels is not None:
                                   UpperCamelCase					       =  head_logprob_i[:, cluster_prob_idx] + tail_logprob_i.gather(
                                       1   ,						target_i[:, None] ).squeeze(1 )
                             else:
                                   UpperCamelCase					       =  head_logprob[:, cluster_prob_idx, None] + tail_logprob_i
                                   UpperCamelCase					       =  logprob_i

                       if labels is not None:
                             if (hasattr(self   ,						'keep_order' ) and self.keep_order) or keep_order:
                                   out.index_copy_(0   ,						_SCREAMING_SNAKE_CASE   ,						-logprob_i )
                             else:
                                   out[offset : offset + logprob_i.size(0 )].copy_(-logprob_i )
                             offset += logprob_i.size(0 )

           return out







     def   _SCREAMING_SNAKE_CASE     ( self      :    int   ,						_SCREAMING_SNAKE_CASE      :    str ):






           """simple docstring"""




           if self.n_clusters == 0:
                 UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						self.out_layers[0].weight   ,						self.out_layers[0].bias   ,						self.out_projs[0] )
                 return nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=-1 )
           else:
                 # construct weights and biases
                 UpperCamelCase       ,  UpperCamelCase					       =  [], []
                 for i in range(len(self.cutoffs ) ):
                       if self.div_val == 1:
                             UpperCamelCase       ,  UpperCamelCase					       =  self.cutoff_ends[i], self.cutoff_ends[i + 1]
                             UpperCamelCase					       =  self.out_layers[0].weight[l_idx:r_idx]
                             UpperCamelCase					       =  self.out_layers[0].bias[l_idx:r_idx]
                       else:
                             UpperCamelCase					       =  self.out_layers[i].weight
                             UpperCamelCase					       =  self.out_layers[i].bias

                       if i == 0:
                             UpperCamelCase					       =  torch.cat([weight_i, self.cluster_weight]   ,						dim=0 )
                             UpperCamelCase					       =  torch.cat([bias_i, self.cluster_bias]   ,						dim=0 )

                       weights.append(_SCREAMING_SNAKE_CASE )
                       biases.append(_SCREAMING_SNAKE_CASE )

                 UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase					       =  weights[0], biases[0], self.out_projs[0]
                 UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE )

                 UpperCamelCase					       =  hidden.new_empty((head_logit.size(0 ), self.n_token) )
                 UpperCamelCase					       =  nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=1 )

                 UpperCamelCase					       =  [0] + self.cutoffs
                 for i in range(len(_SCREAMING_SNAKE_CASE ) - 1 ):
                       UpperCamelCase       ,  UpperCamelCase					       =  cutoff_values[i], cutoff_values[i + 1]

                       if i == 0:
                             UpperCamelCase					       =  head_logprob[:, : self.cutoffs[0]]
                       else:
                             UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase					       =  weights[i], biases[i], self.out_projs[i]

                             UpperCamelCase					       =  self._compute_logit(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE )
                             UpperCamelCase					       =  nn.functional.log_softmax(_SCREAMING_SNAKE_CASE   ,						dim=1 )

                             UpperCamelCase					       =  head_logprob[:, -i] + tail_logprob_i
                             UpperCamelCase					       =  logprob_i

                 return out



