





import random
import sys

import numpy as np
from matplotlib import pyplot as plt
from matplotlib.colors import ListedColormap

_A					:				Tuple				=			"""Usage of script: script_name <size_of_canvas:int>"""

_A					:				Dict				=			[0] * 1_00 + [1] * 10
random.shuffle(choice)


def 							__snake_case							(    lowerCAmelCase_	)				->						list[list[bool]]:
    SCREAMING_SNAKE_CASE__											=			[[False for i in range(lowerCAmelCase_	)] for j in range(lowerCAmelCase_	)]
    return canvas


def 							__snake_case							(    lowerCAmelCase_	)				->						None:
    for i, row in enumerate(lowerCAmelCase_	):
        for j, _ in enumerate(lowerCAmelCase_	):
            SCREAMING_SNAKE_CASE__											=			bool(random.getrandbits(1	)	)


def 							__snake_case							(    lowerCAmelCase_	)				->						list[list[bool]]:
    SCREAMING_SNAKE_CASE__											=			np.array(lowerCAmelCase_	)
    SCREAMING_SNAKE_CASE__											=			np.array(create_canvas(current_canvas.shape[0]	)	)
    for r, row in enumerate(lowerCAmelCase_	):
        for c, pt in enumerate(lowerCAmelCase_	):
            SCREAMING_SNAKE_CASE__											=			__judge_point(
                lowerCAmelCase_ ,							current_canvas[r - 1 : r + 2, c - 1 : c + 2]	)

    SCREAMING_SNAKE_CASE__											=			next_gen_canvas
    del next_gen_canvas  # cleaning memory as we move on.
    SCREAMING_SNAKE_CASE__											=			current_canvas.tolist()
    return return_canvas


def 							__snake_case							(    lowerCAmelCase_ ,							lowerCAmelCase_	)				->						bool:
    SCREAMING_SNAKE_CASE__											=			0
    SCREAMING_SNAKE_CASE__											=			0
    # finding dead or alive neighbours count.
    for i in neighbours:
        for status in i:
            if status:
                alive += 1
            else:
                dead += 1

    # handling duplicate entry for focus pt.
    if pt:
        alive -= 1
    else:
        dead -= 1

    # running the rules of game here.
    SCREAMING_SNAKE_CASE__											=			pt
    if pt:
        if alive < 2:
            SCREAMING_SNAKE_CASE__											=			False
        elif alive == 2 or alive == 3:
            SCREAMING_SNAKE_CASE__											=			True
        elif alive > 3:
            SCREAMING_SNAKE_CASE__											=			False
    else:
        if alive == 3:
            SCREAMING_SNAKE_CASE__											=			True

    return state


if __name__ == "__main__":
  if len(sys.argv) != 2:
    raise Exception(usage_doc)

  _A					:				str				=			int(sys.argv[1])
  # main working structure of this module.
  _A					:				Optional[int]				=			create_canvas(canvas_size)
  seed(c)
  _A,       _A					:				List[Any]				=			plt.subplots()
  fig.show()
  _A					:				List[Any]				=			ListedColormap(["""w""", """k"""])
  try:
    while True:
      _A					:				Dict				=			run(c)
      ax.matshow(c, cmap=cmap)
      fig.canvas.draw()
      ax.cla()
  except KeyboardInterrupt:
    # do nothing.
    pass







import torch
from torch import nn



class 					__snake_case	(  nn.Module    ):


    '''simple docstring'''







    def __init__(       self   ,				A_   ,				A_   ,				A_   ,				A_   ,				A_=1   ,				A_=False     ):





        '''simple docstring'''

        super().__init__()

        SCREAMING_SNAKE_CASE__											=			n_token
        SCREAMING_SNAKE_CASE__											=			d_embed
        SCREAMING_SNAKE_CASE__											=			d_proj

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

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

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

        SCREAMING_SNAKE_CASE__											=			nn.ModuleList()
        SCREAMING_SNAKE_CASE__											=			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(A_   ,				A_     )     )     )
                else:
                    self.out_projs.append(A_     )

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

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

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

        SCREAMING_SNAKE_CASE__											=			keep_order



    def  lowercase_					(       self   ,				A_   ,				A_   ,				A_   ,				A_     ):





        '''simple docstring'''

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

        return logit



    def  lowercase_					(       self   ,				A_   ,				A_=None   ,				A_=False     ):





        '''simple docstring'''

        if labels is not None:
            # Shift so that tokens < n predict n
            SCREAMING_SNAKE_CASE__											=			hidden[..., :-1, :].contiguous()
            SCREAMING_SNAKE_CASE__											=			labels[..., 1:].contiguous()
            SCREAMING_SNAKE_CASE__											=			hidden.view(-1   ,				hidden.size(-1     )     )
            SCREAMING_SNAKE_CASE__											=			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:
            SCREAMING_SNAKE_CASE__											=			hidden.view(-1   ,				hidden.size(-1     )     )

        if self.n_clusters == 0:
            SCREAMING_SNAKE_CASE__											=			self._compute_logit(A_   ,				self.out_layers[0].weight   ,				self.out_layers[0].bias   ,				self.out_projs[0]     )
            if labels is not None:
                SCREAMING_SNAKE_CASE__											=			labels != -1_00
                SCREAMING_SNAKE_CASE__											=			torch.zeros_like(A_   ,				dtype=hidden.dtype   ,				device=hidden.device     )
                SCREAMING_SNAKE_CASE__											=			(
                    -nn.functional.log_softmax(A_   ,				dim=-1     )[mask].gather(1   ,				labels[mask].unsqueeze(1     )     ).squeeze(1     )
                )
            else:
                SCREAMING_SNAKE_CASE__											=			nn.functional.log_softmax(A_   ,				dim=-1     )
        else:
            # construct weights and biases
            SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__											=			[], []
            for i in range(len(self.cutoffs     )     ):
                if self.div_val == 1:
                    SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__											=			self.cutoff_ends[i], self.cutoff_ends[i + 1]
                    SCREAMING_SNAKE_CASE__											=			self.out_layers[0].weight[l_idx:r_idx]
                    SCREAMING_SNAKE_CASE__											=			self.out_layers[0].bias[l_idx:r_idx]
                else:
                    SCREAMING_SNAKE_CASE__											=			self.out_layers[i].weight
                    SCREAMING_SNAKE_CASE__											=			self.out_layers[i].bias

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

                weights.append(A_     )
                biases.append(A_     )

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

            SCREAMING_SNAKE_CASE__											=			self._compute_logit(A_   ,				A_   ,				A_   ,				A_     )
            SCREAMING_SNAKE_CASE__											=			nn.functional.log_softmax(A_   ,				dim=1     )

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

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

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

                    if indices_i.numel() == 0:
                        continue

                    SCREAMING_SNAKE_CASE__											=			labels.index_select(0   ,				A_     ) - l_idx
                    SCREAMING_SNAKE_CASE__											=			head_logprob.index_select(0   ,				A_     )
                    SCREAMING_SNAKE_CASE__											=			hidden.index_select(0   ,				A_     )
                else:
                    SCREAMING_SNAKE_CASE__											=			hidden

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

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

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

        return out




    def  lowercase_					(       self   ,				A_     ):





        '''simple docstring'''

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

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

                weights.append(A_     )
                biases.append(A_     )

            SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__											=			weights[0], biases[0], self.out_projs[0]
            SCREAMING_SNAKE_CASE__											=			self._compute_logit(A_   ,				A_   ,				A_   ,				A_     )

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

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

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

                    SCREAMING_SNAKE_CASE__											=			self._compute_logit(A_   ,				A_   ,				A_   ,				A_     )
                    SCREAMING_SNAKE_CASE__											=			nn.functional.log_softmax(A_   ,				dim=1     )

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

            return out
