提交 f009411b 编写于 作者: L lifuchen 提交者: chenfeiyu

update fastspeech

上级 ab0fe8f3
...@@ -14,7 +14,6 @@ encoder_n_layer: 6 ...@@ -14,7 +14,6 @@ encoder_n_layer: 6
encoder_head: 2 encoder_head: 2
encoder_conv1d_filter_size: 1536 encoder_conv1d_filter_size: 1536
max_sep_len: 2048 max_sep_len: 2048
fs_embedding_size: 384
decoder_n_layer: 6 decoder_n_layer: 6
decoder_head: 2 decoder_head: 2
decoder_conv1d_filter_size: 1536 decoder_conv1d_filter_size: 1536
...@@ -39,6 +38,6 @@ use_gpu: True ...@@ -39,6 +38,6 @@ use_gpu: True
use_data_parallel: False use_data_parallel: False
data_path: ../../../dataset/LJSpeech-1.1 data_path: ../../../dataset/LJSpeech-1.1
transtts_path: ../transformerTTS/checkpoint transtts_path: ../transformerTTS/checkpoint/
transformer_step: 1 transformer_step: 10
log_dir: ./log log_dir: ./log
\ No newline at end of file
...@@ -4,7 +4,7 @@ import utils ...@@ -4,7 +4,7 @@ import utils
import paddle.fluid.dygraph as dg import paddle.fluid.dygraph as dg
import paddle.fluid.layers as layers import paddle.fluid.layers as layers
import paddle.fluid as fluid import paddle.fluid as fluid
from parakeet.modules.layers import Conv1D from parakeet.modules.layers import Conv, Linear
from parakeet.modules.multihead_attention import MultiheadAttention from parakeet.modules.multihead_attention import MultiheadAttention
from parakeet.modules.feed_forward import PositionwiseFeedForward from parakeet.modules.feed_forward import PositionwiseFeedForward
...@@ -113,12 +113,12 @@ class DurationPredictor(dg.Layer): ...@@ -113,12 +113,12 @@ class DurationPredictor(dg.Layer):
self.filter_size = filter_size self.filter_size = filter_size
self.dropout = dropout self.dropout = dropout
self.conv1 = Conv1D(in_channels = self.input_size, self.conv1 = Conv(in_channels = self.input_size,
out_channels = self.out_channels, out_channels = self.out_channels,
filter_size = self.filter_size, filter_size = self.filter_size,
padding=1, padding=1,
data_format='NTC') data_format='NTC')
self.conv2 = Conv1D(in_channels = self.out_channels, self.conv2 = Conv(in_channels = self.out_channels,
out_channels = self.out_channels, out_channels = self.out_channels,
filter_size = self.filter_size, filter_size = self.filter_size,
padding=1, padding=1,
...@@ -126,7 +126,7 @@ class DurationPredictor(dg.Layer): ...@@ -126,7 +126,7 @@ class DurationPredictor(dg.Layer):
self.layer_norm1 = dg.LayerNorm(self.out_channels) self.layer_norm1 = dg.LayerNorm(self.out_channels)
self.layer_norm2 = dg.LayerNorm(self.out_channels) self.layer_norm2 = dg.LayerNorm(self.out_channels)
self.linear =dg.Linear(self.out_channels, 1) self.linear =Linear(self.out_channels, 1)
def forward(self, encoder_output): def forward(self, encoder_output):
""" """
......
...@@ -5,12 +5,12 @@ import paddle.fluid as fluid ...@@ -5,12 +5,12 @@ import paddle.fluid as fluid
from parakeet.g2p.text.symbols import symbols from parakeet.g2p.text.symbols import symbols
from parakeet.modules.utils import * from parakeet.modules.utils import *
from parakeet.modules.post_convnet import PostConvNet from parakeet.modules.post_convnet import PostConvNet
from parakeet.modules.layers import Linear
class Encoder(dg.Layer): class Encoder(dg.Layer):
def __init__(self, def __init__(self,
n_src_vocab, n_src_vocab,
len_max_seq, len_max_seq,
d_word_vec,
n_layers, n_layers,
n_head, n_head,
d_k, d_k,
...@@ -23,9 +23,9 @@ class Encoder(dg.Layer): ...@@ -23,9 +23,9 @@ class Encoder(dg.Layer):
super(Encoder, self).__init__() super(Encoder, self).__init__()
n_position = len_max_seq + 1 n_position = len_max_seq + 1
self.src_word_emb = dg.Embedding(size=[n_src_vocab, d_word_vec], padding_idx=0) self.src_word_emb = dg.Embedding(size=[n_src_vocab, d_model], padding_idx=0)
self.pos_inp = get_sinusoid_encoding_table(n_position, d_word_vec, padding_idx=0) self.pos_inp = get_sinusoid_encoding_table(n_position, d_model, padding_idx=0)
self.position_enc = dg.Embedding(size=[n_position, d_word_vec], self.position_enc = dg.Embedding(size=[n_position, d_model],
padding_idx=0, padding_idx=0,
param_attr=fluid.ParamAttr( param_attr=fluid.ParamAttr(
initializer=fluid.initializer.NumpyArrayInitializer(self.pos_inp), initializer=fluid.initializer.NumpyArrayInitializer(self.pos_inp),
...@@ -70,7 +70,6 @@ class Encoder(dg.Layer): ...@@ -70,7 +70,6 @@ class Encoder(dg.Layer):
class Decoder(dg.Layer): class Decoder(dg.Layer):
def __init__(self, def __init__(self,
len_max_seq, len_max_seq,
d_word_vec,
n_layers, n_layers,
n_head, n_head,
d_k, d_k,
...@@ -83,8 +82,8 @@ class Decoder(dg.Layer): ...@@ -83,8 +82,8 @@ class Decoder(dg.Layer):
super(Decoder, self).__init__() super(Decoder, self).__init__()
n_position = len_max_seq + 1 n_position = len_max_seq + 1
self.pos_inp = get_sinusoid_encoding_table(n_position, d_word_vec, padding_idx=0) self.pos_inp = get_sinusoid_encoding_table(n_position, d_model, padding_idx=0)
self.position_enc = dg.Embedding(size=[n_position, d_word_vec], self.position_enc = dg.Embedding(size=[n_position, d_model],
padding_idx=0, padding_idx=0,
param_attr=fluid.ParamAttr( param_attr=fluid.ParamAttr(
initializer=fluid.initializer.NumpyArrayInitializer(self.pos_inp), initializer=fluid.initializer.NumpyArrayInitializer(self.pos_inp),
...@@ -131,11 +130,10 @@ class FastSpeech(dg.Layer): ...@@ -131,11 +130,10 @@ class FastSpeech(dg.Layer):
self.encoder = Encoder(n_src_vocab=len(symbols)+1, self.encoder = Encoder(n_src_vocab=len(symbols)+1,
len_max_seq=cfg.max_sep_len, len_max_seq=cfg.max_sep_len,
d_word_vec=cfg.fs_embedding_size,
n_layers=cfg.encoder_n_layer, n_layers=cfg.encoder_n_layer,
n_head=cfg.encoder_head, n_head=cfg.encoder_head,
d_k=64, d_k=cfg.fs_hidden_size // cfg.encoder_head,
d_v=64, d_v=cfg.fs_hidden_size // cfg.encoder_head,
d_model=cfg.fs_hidden_size, d_model=cfg.fs_hidden_size,
d_inner=cfg.encoder_conv1d_filter_size, d_inner=cfg.encoder_conv1d_filter_size,
fft_conv1d_kernel=cfg.fft_conv1d_filter, fft_conv1d_kernel=cfg.fft_conv1d_filter,
...@@ -146,17 +144,16 @@ class FastSpeech(dg.Layer): ...@@ -146,17 +144,16 @@ class FastSpeech(dg.Layer):
filter_size=cfg.duration_predictor_filter_size, filter_size=cfg.duration_predictor_filter_size,
dropout=cfg.dropout) dropout=cfg.dropout)
self.decoder = Decoder(len_max_seq=cfg.max_sep_len, self.decoder = Decoder(len_max_seq=cfg.max_sep_len,
d_word_vec=cfg.fs_embedding_size,
n_layers=cfg.decoder_n_layer, n_layers=cfg.decoder_n_layer,
n_head=cfg.decoder_head, n_head=cfg.decoder_head,
d_k=64, d_k=cfg.fs_hidden_size // cfg.decoder_head,
d_v=64, d_v=cfg.fs_hidden_size // cfg.decoder_head,
d_model=cfg.fs_hidden_size, d_model=cfg.fs_hidden_size,
d_inner=cfg.decoder_conv1d_filter_size, d_inner=cfg.decoder_conv1d_filter_size,
fft_conv1d_kernel=cfg.fft_conv1d_filter, fft_conv1d_kernel=cfg.fft_conv1d_filter,
fft_conv1d_padding=cfg.fft_conv1d_padding, fft_conv1d_padding=cfg.fft_conv1d_padding,
dropout=0.1) dropout=0.1)
self.mel_linear = dg.Linear(cfg.fs_hidden_size, cfg.audio.num_mels * cfg.audio.outputs_per_step) self.mel_linear = Linear(cfg.fs_hidden_size, cfg.audio.num_mels * cfg.audio.outputs_per_step)
self.postnet = PostConvNet(n_mels=cfg.audio.num_mels, self.postnet = PostConvNet(n_mels=cfg.audio.num_mels,
num_hidden=512, num_hidden=512,
filter_size=5, filter_size=5,
......
...@@ -22,8 +22,6 @@ def add_config_options_to_parser(parser): ...@@ -22,8 +22,6 @@ def add_config_options_to_parser(parser):
parser.add_argument('--audio.outputs_per_step', type=int, default=1, parser.add_argument('--audio.outputs_per_step', type=int, default=1,
help="the outputs per step.") help="the outputs per step.")
parser.add_argument('--fs_embedding_size', type=int, default=256,
help="the dim size of embedding of fastspeech.")
parser.add_argument('--encoder_n_layer', type=int, default=6, parser.add_argument('--encoder_n_layer', type=int, default=6,
help="the number of FFT Block in encoder.") help="the number of FFT Block in encoder.")
parser.add_argument('--encoder_head', type=int, default=2, parser.add_argument('--encoder_head', type=int, default=2,
......
...@@ -55,14 +55,13 @@ def main(cfg): ...@@ -55,14 +55,13 @@ def main(cfg):
writer = SummaryWriter(path) if local_rank == 0 else None writer = SummaryWriter(path) if local_rank == 0 else None
with dg.guard(place): with dg.guard(place):
transformerTTS = TransformerTTS(cfg) with fluid.unique_name.guard():
model_path = os.path.join(cfg.transtts_path, "transformer") transformerTTS = TransformerTTS(cfg)
model_dict, _ = fluid.dygraph.load_dygraph(os.path.join(model_path, str(cfg.transformer_step))) model_path = os.path.join(cfg.transtts_path, "transformer")
#for param in transformerTTS.state_dict(): model_dict, _ = fluid.dygraph.load_dygraph(os.path.join(model_path, str(cfg.transformer_step)))
# print(param)
transformerTTS.set_dict(model_dict)
transformerTTS.set_dict(model_dict) transformerTTS.eval()
transformerTTS.eval()
model = FastSpeech(cfg) model = FastSpeech(cfg)
model.train() model.train()
...@@ -89,7 +88,6 @@ def main(cfg): ...@@ -89,7 +88,6 @@ def main(cfg):
_, _, attn_probs, _, _, _ = transformerTTS(character, mel_input, pos_text, pos_mel) _, _, attn_probs, _, _, _ = transformerTTS(character, mel_input, pos_text, pos_mel)
alignment = dg.to_variable(get_alignment(attn_probs, cfg.transformer_head)).astype(np.float32) alignment = dg.to_variable(get_alignment(attn_probs, cfg.transformer_head)).astype(np.float32)
global_step += 1 global_step += 1
#Forward #Forward
...@@ -104,8 +102,7 @@ def main(cfg): ...@@ -104,8 +102,7 @@ def main(cfg):
total_loss = mel_loss + mel_postnet_loss + duration_loss total_loss = mel_loss + mel_postnet_loss + duration_loss
if local_rank==0: if local_rank==0:
print('epoch:{}, step:{}, mel_loss:{}, mel_postnet_loss:{}, duration_loss:{}'.format(epoch, global_step, mel_loss.numpy(), mel_postnet_loss.numpy(), duration_loss.numpy())) #print('epoch:{}, step:{}, mel_loss:{}, mel_postnet_loss:{}, duration_loss:{}'.format(epoch, global_step, mel_loss.numpy(), mel_postnet_loss.numpy(), duration_loss.numpy()))
writer.add_scalar('mel_loss', mel_loss.numpy(), global_step) writer.add_scalar('mel_loss', mel_loss.numpy(), global_step)
writer.add_scalar('post_mel_loss', mel_postnet_loss.numpy(), global_step) writer.add_scalar('post_mel_loss', mel_postnet_loss.numpy(), global_step)
writer.add_scalar('duration_loss', duration_loss.numpy(), global_step) writer.add_scalar('duration_loss', duration_loss.numpy(), global_step)
......
...@@ -11,8 +11,8 @@ audio: ...@@ -11,8 +11,8 @@ audio:
outputs_per_step: 1 outputs_per_step: 1
max_len: 50 max_len: 50
transformer_step: 1 transformer_step: 10
postnet_step: 1 postnet_step: 10
use_gpu: True use_gpu: True
checkpoint_path: ./checkpoint checkpoint_path: ./checkpoint
......
...@@ -18,9 +18,9 @@ grad_clip_thresh: 1.0 ...@@ -18,9 +18,9 @@ grad_clip_thresh: 1.0
batch_size: 32 batch_size: 32
epochs: 10000 epochs: 10000
lr: 0.001 lr: 0.001
save_step: 500 save_step: 10
use_gpu: True use_gpu: True
use_data_parallel: True use_data_parallel: False
data_path: ../../../dataset/LJSpeech-1.1 data_path: ../../../dataset/LJSpeech-1.1
save_path: ./checkpoint save_path: ./checkpoint
......
...@@ -35,7 +35,7 @@ class EncoderPrenet(dg.Layer): ...@@ -35,7 +35,7 @@ class EncoderPrenet(dg.Layer):
self.add_sublayer("conv_list_{}".format(i), layer) self.add_sublayer("conv_list_{}".format(i), layer)
self.batch_norm_list = [dg.BatchNorm(num_hidden, self.batch_norm_list = [dg.BatchNorm(num_hidden,
data_layout='NCHW', epsilon=1e-30) for _ in range(3)] data_layout='NCHW') for _ in range(3)]
for i, layer in enumerate(self.batch_norm_list): for i, layer in enumerate(self.batch_norm_list):
self.add_sublayer("batch_norm_list_{}".format(i), layer) self.add_sublayer("batch_norm_list_{}".format(i), layer)
...@@ -57,6 +57,7 @@ class CBHG(dg.Layer): ...@@ -57,6 +57,7 @@ class CBHG(dg.Layer):
super(CBHG, self).__init__() super(CBHG, self).__init__()
""" """
:param hidden_size: dimension of hidden unit :param hidden_size: dimension of hidden unit
:param batch_size: batch size
:param K: # of convolution banks :param K: # of convolution banks
:param projection_size: dimension of projection unit :param projection_size: dimension of projection unit
:param num_gru_layers: # of layers of GRUcell :param num_gru_layers: # of layers of GRUcell
......
...@@ -10,7 +10,7 @@ from parakeet.modules.post_convnet import PostConvNet ...@@ -10,7 +10,7 @@ from parakeet.modules.post_convnet import PostConvNet
class Encoder(dg.Layer): class Encoder(dg.Layer):
def __init__(self, embedding_size, num_hidden, config): def __init__(self, embedding_size, num_hidden, config, num_head=4):
super(Encoder, self).__init__() super(Encoder, self).__init__()
self.num_hidden = num_hidden self.num_hidden = num_hidden
param = fluid.ParamAttr(initializer=fluid.initializer.Constant(value=1.0)) param = fluid.ParamAttr(initializer=fluid.initializer.Constant(value=1.0))
...@@ -24,10 +24,10 @@ class Encoder(dg.Layer): ...@@ -24,10 +24,10 @@ class Encoder(dg.Layer):
self.encoder_prenet = EncoderPrenet(embedding_size = embedding_size, self.encoder_prenet = EncoderPrenet(embedding_size = embedding_size,
num_hidden = num_hidden, num_hidden = num_hidden,
use_cudnn=config.use_gpu) use_cudnn=config.use_gpu)
self.layers = [MultiheadAttention(num_hidden, num_hidden//4, num_hidden//4) for _ in range(3)] self.layers = [MultiheadAttention(num_hidden, num_hidden//num_head, num_hidden//num_head) for _ in range(3)]
for i, layer in enumerate(self.layers): for i, layer in enumerate(self.layers):
self.add_sublayer("self_attn_{}".format(i), layer) self.add_sublayer("self_attn_{}".format(i), layer)
self.ffns = [PositionwiseFeedForward(num_hidden, num_hidden*4, filter_size=1, use_cudnn = config.use_gpu) for _ in range(3)] self.ffns = [PositionwiseFeedForward(num_hidden, num_hidden*num_head, filter_size=1, use_cudnn = config.use_gpu) for _ in range(3)]
for i, layer in enumerate(self.ffns): for i, layer in enumerate(self.ffns):
self.add_sublayer("ffns_{}".format(i), layer) self.add_sublayer("ffns_{}".format(i), layer)
...@@ -61,7 +61,7 @@ class Encoder(dg.Layer): ...@@ -61,7 +61,7 @@ class Encoder(dg.Layer):
return x, query_mask, attentions return x, query_mask, attentions
class Decoder(dg.Layer): class Decoder(dg.Layer):
def __init__(self, num_hidden, config): def __init__(self, num_hidden, config, num_head=4):
super(Decoder, self).__init__() super(Decoder, self).__init__()
self.num_hidden = num_hidden self.num_hidden = num_hidden
param = fluid.ParamAttr() param = fluid.ParamAttr()
...@@ -79,13 +79,13 @@ class Decoder(dg.Layer): ...@@ -79,13 +79,13 @@ class Decoder(dg.Layer):
dropout_rate=0.2) dropout_rate=0.2)
self.linear = Linear(num_hidden, num_hidden) self.linear = Linear(num_hidden, num_hidden)
self.selfattn_layers = [MultiheadAttention(num_hidden, num_hidden//4, num_hidden//4) for _ in range(3)] self.selfattn_layers = [MultiheadAttention(num_hidden, num_hidden//num_head, num_hidden//num_head) for _ in range(3)]
for i, layer in enumerate(self.selfattn_layers): for i, layer in enumerate(self.selfattn_layers):
self.add_sublayer("self_attn_{}".format(i), layer) self.add_sublayer("self_attn_{}".format(i), layer)
self.attn_layers = [MultiheadAttention(num_hidden, num_hidden//4, num_hidden//4) for _ in range(3)] self.attn_layers = [MultiheadAttention(num_hidden, num_hidden//num_head, num_hidden//num_head) for _ in range(3)]
for i, layer in enumerate(self.attn_layers): for i, layer in enumerate(self.attn_layers):
self.add_sublayer("attn_{}".format(i), layer) self.add_sublayer("attn_{}".format(i), layer)
self.ffns = [PositionwiseFeedForward(num_hidden, num_hidden*4, filter_size=1) for _ in range(3)] self.ffns = [PositionwiseFeedForward(num_hidden, num_hidden*num_head, filter_size=1) for _ in range(3)]
for i, layer in enumerate(self.ffns): for i, layer in enumerate(self.ffns):
self.add_sublayer("ffns_{}".format(i), layer) self.add_sublayer("ffns_{}".format(i), layer)
self.mel_linear = Linear(num_hidden, config.audio.num_mels * config.audio.outputs_per_step) self.mel_linear = Linear(num_hidden, config.audio.num_mels * config.audio.outputs_per_step)
......
...@@ -28,12 +28,15 @@ def synthesis(text_input, cfg): ...@@ -28,12 +28,15 @@ def synthesis(text_input, cfg):
writer = SummaryWriter(path) writer = SummaryWriter(path)
with dg.guard(place): with dg.guard(place):
model = TransformerTTS(cfg) with fluid.unique_name.guard():
model_postnet = ModelPostNet(cfg) model = TransformerTTS(cfg)
model.set_dict(load_checkpoint(str(cfg.transformer_step), os.path.join(cfg.checkpoint_path, "transformer")))
model.set_dict(load_checkpoint(str(cfg.transformer_step), os.path.join(cfg.checkpoint_path, "transformer"))) model.eval()
model_postnet.set_dict(load_checkpoint(str(cfg.postnet_step), os.path.join(cfg.checkpoint_path, "postnet")))
with fluid.unique_name.guard():
model_postnet = ModelPostNet(cfg)
model_postnet.set_dict(load_checkpoint(str(cfg.postnet_step), os.path.join(cfg.checkpoint_path, "postnet")))
model_postnet.eval()
# init input # init input
text = np.asarray(text_to_sequence(text_input)) text = np.asarray(text_to_sequence(text_input))
text = fluid.layers.unsqueeze(dg.to_variable(text),[0]) text = fluid.layers.unsqueeze(dg.to_variable(text),[0])
...@@ -42,9 +45,6 @@ def synthesis(text_input, cfg): ...@@ -42,9 +45,6 @@ def synthesis(text_input, cfg):
pos_text = fluid.layers.unsqueeze(dg.to_variable(pos_text),[0]) pos_text = fluid.layers.unsqueeze(dg.to_variable(pos_text),[0])
model.eval()
model_postnet.eval()
pbar = tqdm(range(cfg.max_len)) pbar = tqdm(range(cfg.max_len))
for i in pbar: for i in pbar:
......
...@@ -86,17 +86,17 @@ def main(cfg): ...@@ -86,17 +86,17 @@ def main(cfg):
mel_pred, postnet_pred, attn_probs, stop_preds, attn_enc, attn_dec = model(character, mel_input, pos_text, pos_mel) mel_pred, postnet_pred, attn_probs, stop_preds, attn_enc, attn_dec = model(character, mel_input, pos_text, pos_mel)
label = np.zeros(stop_preds.shape).astype(np.float32) label = (pos_mel == 0).astype(np.float32)
text_length = text_length.numpy() #label = np.zeros(stop_preds.shape).astype(np.float32)
for i in range(label.shape[0]): #text_length = text_length.numpy()
label[i][text_length[i] - 1] = 1 #for i in range(label.shape[0]):
# label[i][text_length[i] - 1] = 1
mel_loss = layers.mean(layers.abs(layers.elementwise_sub(mel_pred, mel))) mel_loss = layers.mean(layers.abs(layers.elementwise_sub(mel_pred, mel)))
post_mel_loss = layers.mean(layers.abs(layers.elementwise_sub(postnet_pred, mel))) post_mel_loss = layers.mean(layers.abs(layers.elementwise_sub(postnet_pred, mel)))
stop_loss = cross_entropy(stop_preds, dg.to_variable(label)) stop_loss = cross_entropy(stop_preds, label)
loss = mel_loss + post_mel_loss + stop_loss loss = mel_loss + post_mel_loss + stop_loss
if local_rank==0: if local_rank==0:
writer.add_scalars('training_loss', { writer.add_scalars('training_loss', {
'mel_loss':mel_loss.numpy(), 'mel_loss':mel_loss.numpy(),
......
...@@ -105,7 +105,6 @@ class MultiheadAttention(dg.Layer): ...@@ -105,7 +105,6 @@ class MultiheadAttention(dg.Layer):
# concat all multihead result # concat all multihead result
result = layers.reshape(result, [self.num_head, batch_size, seq_len_query, self.d_q]) result = layers.reshape(result, [self.num_head, batch_size, seq_len_query, self.d_q])
result = layers.reshape(layers.transpose(result, [1,2,0,3]),[batch_size, seq_len_query, -1]) result = layers.reshape(layers.transpose(result, [1,2,0,3]),[batch_size, seq_len_query, -1])
result = layers.concat([query_input,result], axis=-1) result = layers.concat([query_input,result], axis=-1)
result = layers.dropout(self.fc(result), self.dropout) result = layers.dropout(self.fc(result), self.dropout)
result = result + query_input result = result + query_input
......
...@@ -65,9 +65,10 @@ def guided_attention(N, T, g=0.2): ...@@ -65,9 +65,10 @@ def guided_attention(N, T, g=0.2):
return W return W
def cross_entropy(input, label, position_weight=5.0, epsilon=0.0001): def cross_entropy(input, label, position_weight=1.0, epsilon=1e-30):
input = -1 * label * layers.log(input + epsilon) - (1-label) * layers.log(1 - input + epsilon) output = -1 * label * layers.log(input + epsilon) - (1-label) * layers.log(1 - input + epsilon)
label = input * (label * (position_weight - 1) + 1) output = output * (label * (position_weight - 1) + 1)
return layers.reduce_sum(label, dim=[0, 1])
return layers.reduce_sum(output, dim=[0, 1])
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