Transformers: Longformer crashes for position embeddings indexing?

Created on 27 Oct 2020 · 6Comments · Source: huggingface/transformers

Environment info

transformers version: 3.4.0
Platform: Linux-3.10.0-1127.19.1.el7.x86_64-x86_64-with-glibc2.10
Python version: 3.8.5
PyTorch version (GPU?): 1.5.1 (True)
Tensorflow version (GPU?): not installed (NA)
Using GPU in script?: yes
Using distributed or parallel set-up in script?: apex ddp

Who can help

@patrickvonplaten maybe?

Information

Model I am using (Bert, XLNet ...): Longformer

The problem arises when using:

[ ] the official example scripts: (give details below)
[x ] my own modified scripts: (give details below)

The tasks I am working on is:

[ ] an official GLUE/SQUaD task: (give the name)
[x ] my own task or dataset: (give details below)

To reproduce

Steps to reproduce the behavior:

use apex ddp with longformerforsequenceclassification

my code snippet:

def train(self):

    self.model.train()
    losses = []

    if isinstance(self.train_loader.sampler, DistributedSampler):
        self.train_loader.sampler.set_epoch(self.epoch)

    for qids, dids, queries, documents, y in self.train_loader:

        encoded = self._tokenizer.batch_encode_plus(batch_text_or_text_pairs=list(zip(queries, documents)),
                                                truncation="longest_first", add_special_tokens=True, 
                                                max_length = self.max_len, padding="max_length", 
                                                is_pretokenized=False, return_tensors="pt", 
                                                return_attention_mask=True, return_token_type_ids=True)

        input_ids = encoded["input_ids"].cuda()
        attention_mask = encoded["attention_mask"].cuda()
        token_type_ids = encoded["token_type_ids"].cuda()
        y = torch.tensor(y).unsqueeze(1).cuda()
        global_attention_mask = self.get_global_attention(encoded["input_ids"], self.max_len, self._tokenizer.sep_token_id)[0].cuda()

        self.optimizer.zero_grad()

        outputs = self.model(
            input_ids=input_ids,
            attention_mask=attention_mask,
            global_attention_mask=global_attention_mask,
            labels=y
        )

        loss = outputs[0]

        with amp.scale_loss(loss, self.optimizer) as scaled_loss:
            scaled_loss.backward()

        self.optimizer.step()

Where the data are queries and documents that are either relevant (y=1) or irrelevant (y=0). Each input is the concatenation of a query and a document. get_global_attention() is a function to give global attention to query tokens.

I find that for some batches (no all batches!), the code would give the following errors, which are very confusing to me:

INFO:__main__:Namespace(apex_level='O2', batch_size=1, cased=1, debug=0, encoder_lr=1e-05, eval_step=1, finetune_embedding=0, local_rank=0, model_path='allenai/longformer-base-4096', model_type='longformer', num_epochs=20, num_ft_encoders=2, num_neg=1, projector_lr=1e-05, seed=611)
Some weights of the model checkpoint at allenai/longformer-base-4096 were not used when initializing LongformerForSequenceClassification: ['lm_head.bias', 'lm_head.dense.weight', 'lm_head.dense.bias', 'lm_head.layer_norm.weight', 'lm_head.layer_norm.bias', 'lm_head.decoder.weight']
- This IS expected if you are initializing LongformerForSequenceClassification from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPretraining model).
- This IS NOT expected if you are initializing LongformerForSequenceClassification from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).
Some weights of LongformerForSequenceClassification were not initialized from the model checkpoint at allenai/longformer-base-4096 and are newly initialized: ['classifier.dense.weight', 'classifier.dense.bias', 'classifier.out_proj.weight', 'classifier.out_proj.bias']
You should probably TRAIN this model on a down-stream task to be able to use it for predictions and inference.
INFO:__main__:Reading data from /....../sampled
INFO:root:Number of positive query-document pairs in [train] set: 67
INFO:root:Number of labelled query-document pairs in [dev] set: 2000
INFO:root:Number of labelled query-document pairs in [test] set: 2000
INFO:__main__:Data reading done ...
INFO:__main__:adding 10-th encoder to optimizer...
INFO:__main__:adding 11-th encoder to optimizer...
Selected optimization level O2:  FP16 training with FP32 batchnorm and FP32 master weights.

Defaults for this optimization level are:
enabled                : True
opt_level              : O2
cast_model_type        : torch.float16
patch_torch_functions  : False
keep_batchnorm_fp32    : True
master_weights         : True
loss_scale             : dynamic
Processing user overrides (additional kwargs that are not None)...
After processing overrides, optimization options are:
enabled                : True
opt_level              : O2
cast_model_type        : torch.float16
patch_torch_functions  : False
keep_batchnorm_fp32    : True
master_weights         : True
loss_scale             : dynamic
INFO:__main__:process[0]: training epoch 0 ...
/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/tokenization_utils.py:547: FutureWarning: `is_pretokenized` is deprecated and will be removed in a future version, use `is_split_into_words` instead.
  warnings.warn(
Gradient overflow.  Skipping step, loss scaler 0 reducing loss scale to 32768.0
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Traceback (most recent call last):
  File "finetune-marco.py", line 93, in <module>
    marco.run()
  File "/mnt/nfs/work1/allan/user/LF-for-IR/Marco.py", line 167, in run
    self.train()
  File "/mnt/nfs/work1/allan/user/LF-for-IR/Marco.py", line 223, in train
    outputs = self.model(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/apex/amp/_initialize.py", line 196, in new_fwd
    output = old_fwd(*applier(args, input_caster),
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/apex/parallel/distributed.py", line 560, in forward
    result = self.module(*inputs, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 1442, in forward
    outputs = self.longformer(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 1262, in forward
    encoder_outputs = self.encoder(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 903, in forward
    layer_outputs = layer_module(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 849, in forward
    self_attn_outputs = self.attention(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 793, in forward
    self_outputs = self.self(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 246, in forward
    is_global_attn = is_index_global_attn.flatten().any().item()
RuntimeError: CUDA error: device-side assert triggered
NCCL error in: /opt/conda/conda-bld/pytorch_1591914886554/work/torch/lib/c10d/../c10d/NCCLUtils.hpp:69, unhandled cuda error, NCCL version 2.4.8
Traceback (most recent call last):
  File "/home/user/miniconda3/envs/marco/lib/python3.8/runpy.py", line 194, in _run_module_as_main
    return _run_code(code, main_globals, None,
  File "/home/user/miniconda3/envs/marco/lib/python3.8/runpy.py", line 87, in _run_code
    exec(code, run_globals)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/distributed/launch.py", line 263, in <module>
    main()
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/distributed/launch.py", line 258, in main
    raise subprocess.CalledProcessError(returncode=process.returncode,
subprocess.CalledProcessError: Command '['/home/user/miniconda3/envs/marco/bin/python', '-u', 'finetune-marco.py', '--local_rank=0', '--model_type', 'longformer', '--model_path', 'allenai/longformer-base-4096', '--batch_size', '1', '--finetune_embedding', '0', '--cased', '1', '--num_neg', '1', '--eval_step', '1', '--num_epochs', '20', '--apex_level', 'O2', '--encoder_lr', '1e-5', '--projector_lr', '1e-5', '--num_ft_encoders', '2', '--seed', '611']' died with <Signals.SIGABRT: 6>.

Expected behavior

I think this error is uncalled for. I have tried our pretrained models like base BERT models and they ran just fine. Can someone help interpret the error message here? Thanks!

Source

PxYu

Most helpful comment

As seen offline, having the max_position_embeddings set to 514 is an unfortunate decision we made when implementing the RoBERTa model and inheriting from the BERT model, a behavior we've since changed.

Unfortunately, changing the max_position_embeddings would be impossible now, as this would imply modifying the model code so that it handles the embeddings to be of size max_position_embeddings + 2, which would break all current existing models. We could reach for an if/else statement analyzing transformers version, but this would be very error prone, and would needlessly complicate the code.

We should document two things:

The max_position_embeddings should not be used to create sequences, the tokenizer's max_len should be used instead. Since models and tokenizers work in pairs, it is not incoherent to have to rely on the tokenizer attribute to create model sequences.
We should document that models should try to respect, as much as possible, the convention that model.max_position_embeddings == tokenizer.max_len to prevent such confusion from happening in newer models.

LysandreJik on 29 Oct 2020

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Hi, have you tried running this code without using CUDA (i.e., on CPU)? The errors are usually more intelligible that way.

Could this be due to an OOM error and cuda not recovering from it?

LysandreJik on 27 Oct 2020

Hi, have you tried running this code without using CUDA (i.e., on CPU)? The errors are usually more intelligible that way.

Could this be due to an OOM error and cuda not recovering from it?

Hi @LysandreJik , thanks for your response! I made some exploration following your suggestion: I move the job to CPU only and tried again. I think this time it has something to do with the position embeddings indexing. Error message:

Traceback (most recent call last):
  File "finetune-marco.py", line 94, in <module>
    marco.run()
  File "/mnt/nfs/work1/user/user/LF-for-IR/Marco.py", line 177, in run
    self.train()
  File "/mnt/nfs/work1/user/user/LF-for-IR/Marco.py", line 258, in train
    outputs = self.model(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 1445, in forward
    outputs = self.longformer(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 1261, in forward
    embedding_output = self.embeddings(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/transformers/modeling_longformer.py", line 170, in forward
    position_embeddings = self.position_embeddings(position_ids)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/module.py", line 550, in __call__
    result = self.forward(*input, **kwargs)
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/modules/sparse.py", line 112, in forward
    return F.embedding(
  File "/home/user/miniconda3/envs/marco/lib/python3.8/site-packages/torch/nn/functional.py", line 1724, in embedding
    return torch.embedding(weight, input, padding_idx, scale_grad_by_freq, sparse)
IndexError: index out of range in self

So if I go to class LongformerEmbeddings(nn.Module) in modeling_longformer.pyand print the self.position_ids and position_ids inside the forward() function, I get:

tensor([[   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,   10,   11,
           12,   13,   14,   15,   16,   17,   18,   19,   20,   21,   22,   23,
           24,   25,   26,   27,   28,   29,   30,   31,   32,   33,   34,   35,
           36,   37,   38,   39,   40,   41,   42,   43,   44,   45,   46,   47,
           48,   49,   50,   51,   52,   53,   54,   55,   56,   57,   58,   59,
           60,   61,   62,   63,   64,   65,   66,   67,   68,   69,   70,   71,
           72,   73,   74,   75,   76,   77,   78,   79,   80,   81,   82,   83,
           84,   85,   86,   87,   88,   89,   90,   91,   92,   93,   94,   95,
           96,   97,   98,   99,  100,  101,  102,  103,  104,  105,  106,  107,
          108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,
          120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,
          132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,
          144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,
          156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,
          168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,
          180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,
          192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,
          204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,
          216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,
          228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,
          240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,
          252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,
          264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,
          276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,
          288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,
          300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,
          312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,
          324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,
          336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,
          348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,
          360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,
          372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,
          384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,
          396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,
          408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,
          420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,
          432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,
          444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,
          456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,
          468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,
          480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,
          492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,
          504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,
          516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,
          528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,
          540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,
          552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,
          564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,
          576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,
          588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,
          600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,
          612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,
          624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,
          636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,
          648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,
          660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,
          672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,
          684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,
          696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,
          708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,
          720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,
          732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,
          744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,
          756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,
          768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,
          780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,
          792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,
          804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,
          816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,
          828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,
          840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,
          852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,
          864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,
          876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,
          888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,
          900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,
          912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,
          924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,
          936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,
          948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,
          960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,
          972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,
          984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,
          996,  997,  998,  999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007,
         1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019,
         1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031,
         1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043,
         1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055,
         1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067,
         1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079,
         1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091,
         1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103,
         1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115,
         1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127,
         1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139,
         1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151,
         1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163,
         1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175,
         1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187,
         1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199,
         1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211,
         1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223,
         1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235,
         1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247,
         1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259,
         1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271,
         1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283,
         1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295,
         1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307,
         1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319,
         1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331,
         1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343,
         1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355,
         1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367,
         1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379,
         1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391,
         1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403,
         1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415,
         1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427,
         1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439,
         1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451,
         1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463,
         1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475,
         1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487,
         1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499,
         1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511,
         1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523,
         1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535,
         1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547,
         1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559,
         1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571,
         1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583,
         1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595,
         1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607,
         1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619,
         1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631,
         1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643,
         1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655,
         1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667,
         1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679,
         1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691,
         1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703,
         1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715,
         1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727,
         1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739,
         1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751,
         1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763,
         1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775,
         1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787,
         1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799,
         1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811,
         1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823,
         1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835,
         1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847,
         1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859,
         1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871,
         1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883,
         1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895,
         1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907,
         1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919,
         1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931,
         1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943,
         1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955,
         1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967,
         1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979,
         1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991,
         1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003,
         2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015,
         2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027,
         2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039,
         2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051,
         2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063,
         2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075,
         2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087,
         2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099,
         2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111,
         2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123,
         2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135,
         2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147,
         2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159,
         2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171,
         2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183,
         2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195,
         2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207,
         2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219,
         2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231,
         2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243,
         2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255,
         2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267,
         2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279,
         2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291,
         2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303,
         2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315,
         2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327,
         2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339,
         2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351,
         2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363,
         2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375,
         2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387,
         2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399,
         2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411,
         2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423,
         2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435,
         2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447,
         2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459,
         2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471,
         2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483,
         2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495,
         2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507,
         2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519,
         2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531,
         2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543,
         2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555,
         2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567,
         2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579,
         2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591,
         2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603,
         2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615,
         2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627,
         2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639,
         2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651,
         2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663,
         2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675,
         2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687,
         2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699,
         2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711,
         2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723,
         2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735,
         2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747,
         2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759,
         2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771,
         2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783,
         2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795,
         2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807,
         2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819,
         2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831,
         2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843,
         2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855,
         2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867,
         2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879,
         2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891,
         2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903,
         2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915,
         2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927,
         2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939,
         2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951,
         2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963,
         2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975,
         2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987,
         2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999,
         3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011,
         3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023,
         3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035,
         3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047,
         3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059,
         3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071,
         3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083,
         3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095,
         3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107,
         3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119,
         3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131,
         3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143,
         3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155,
         3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167,
         3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179,
         3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191,
         3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203,
         3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215,
         3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227,
         3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239,
         3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251,
         3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263,
         3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275,
         3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287,
         3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299,
         3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311,
         3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323,
         3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335,
         3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347,
         3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359,
         3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371,
         3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383,
         3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395,
         3396, 3397, 3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407,
         3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419,
         3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431,
         3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443,
         3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455,
         3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467,
         3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479,
         3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491,
         3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503,
         3504, 3505, 3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515,
         3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527,
         3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539,
         3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551,
         3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563,
         3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575,
         3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587,
         3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599,
         3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611,
         3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623,
         3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635,
         3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647,
         3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659,
         3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671,
         3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683,
         3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695,
         3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707,
         3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719,
         3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731,
         3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743,
         3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755,
         3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767,
         3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779,
         3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791,
         3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803,
         3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815,
         3816, 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827,
         3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839,
         3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851,
         3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862, 3863,
         3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875,
         3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886, 3887,
         3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 3896, 3897, 3898, 3899,
         3900, 3901, 3902, 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911,
         3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922, 3923,
         3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931, 3932, 3933, 3934, 3935,
         3936, 3937, 3938, 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947,
         3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959,
         3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967, 3968, 3969, 3970, 3971,
         3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983,
         3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995,
         3996, 3997, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007,
         4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019,
         4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031,
         4032, 4033, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4041, 4042, 4043,
         4044, 4045, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055,
         4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067,
         4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079,
         4080, 4081, 4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091,
         4092, 4093, 4094, 4095, 4096, 4097]]) torch.Size([1, 4098])
tensor([[   2,    3,    4,    5,    6,    7,    8,    9,   10,   11,   12,   13,
           14,   15,   16,   17,   18,   19,   20,   21,   22,   23,   24,   25,
           26,   27,   28,   29,   30,   31,   32,   33,   34,   35,   36,   37,
           38,   39,   40,   41,   42,   43,   44,   45,   46,   47,   48,   49,
           50,   51,   52,   53,   54,   55,   56,   57,   58,   59,   60,   61,
           62,   63,   64,   65,   66,   67,   68,   69,   70,   71,   72,   73,
           74,   75,   76,   77,   78,   79,   80,   81,   82,   83,   84,   85,
           86,   87,   88,   89,   90,   91,   92,   93,   94,   95,   96,   97,
           98,   99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,
          110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,
          122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,
          134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,
          146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,
          158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,
          170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,
          182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,
          194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,
          206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,
          218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,
          230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,
          242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,
          254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,
          266,  267,  268,  269,  270,  271,  272,  273,  274,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
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         1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045,
         1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057,
         1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069,
         1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081,
         1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093,
         1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105,
         1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117,
         1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129,
         1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141,
         1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153,
         1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165,
         1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177,
         1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189,
         1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201,
         1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213,
         1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225,
         1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237,
         1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249,
         1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261,
         1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273,
         1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285,
         1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297,
         1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309,
         1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321,
         1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333,
         1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345,
         1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357,
         1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369,
         1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381,
         1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393,
         1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405,
         1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417,
         1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429,
         1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441,
         1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453,
         1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465,
         1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477,
         1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489,
         1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501,
         1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513,
         1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525,
         1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537,
         1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549,
         1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561,
         1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573,
         1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585,
         1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597,
         1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609,
         1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621,
         1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633,
         1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645,
         1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657,
         1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669,
         1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681,
         1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693,
         1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705,
         1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717,
         1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729,
         1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741,
         1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753,
         1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765,
         1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777,
         1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789,
         1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801,
         1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813,
         1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825,
         1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837,
         1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849,
         1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861,
         1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873,
         1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885,
         1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897,
         1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909,
         1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921,
         1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933,
         1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945,
         1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957,
         1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969,
         1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981,
         1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993,
         1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
         2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017,
         2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029,
         2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041,
         2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053,
         2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065,
         2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077,
         2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089,
         2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101,
         2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113,
         2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125,
         2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137,
         2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149,
         2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161,
         2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173,
         2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185,
         2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197,
         2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209,
         2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221,
         2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233,
         2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245,
         2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257,
         2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269,
         2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281,
         2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293,
         2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305,
         2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317,
         2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329,
         2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341,
         2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353,
         2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365,
         2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377,
         2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389,
         2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401,
         2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413,
         2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425,
         2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437,
         2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449,
         2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461,
         2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473,
         2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485,
         2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497,
         2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509,
         2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521,
         2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533,
         2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545,
         2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557,
         2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569,
         2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581,
         2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593,
         2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605,
         2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617,
         2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629,
         2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641,
         2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653,
         2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665,
         2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677,
         2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689,
         2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701,
         2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713,
         2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725,
         2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737,
         2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749,
         2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761,
         2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773,
         2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785,
         2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797,
         2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809,
         2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821,
         2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833,
         2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845,
         2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857,
         2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869,
         2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881,
         2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893,
         2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905,
         2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917,
         2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929,
         2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941,
         2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953,
         2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965,
         2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977,
         2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989,
         2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001,
         3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013,
         3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025,
         3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037,
         3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049,
         3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061,
         3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073,
         3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085,
         3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097,
         3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109,
         3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121,
         3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133,
         3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145,
         3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157,
         3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169,
         3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181,
         3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193,
         3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205,
         3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217,
         3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229,
         3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241,
         3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253,
         3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265,
         3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277,
         3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289,
         3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301,
         3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313,
         3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325,
         3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337,
         3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349,
         3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361,
         3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373,
         3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385,
         3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397,
         3398, 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409,
         3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421,
         3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433,
         3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445,
         3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457,
         3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469,
         3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481,
         3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493,
         3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505,
         3506, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517,
         3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529,
         3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541,
         3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553,
         3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565,
         3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577,
         3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589,
         3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601,
         3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613,
         3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625,
         3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637,
         3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649,
         3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661,
         3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673,
         3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685,
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            1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1]]) torch.Size([2, 4608])

Well, the model pads the sequence from 4098 to 4608 (because it's a multiple of 512, though I did not tell it to do so), and then the position_ids it ended up with starts with 1 instead of 0 and then there are also 4098 and 4099 in it, which I believe should be out of index? Needs confirmation from developers! Thx!

PxYu on 27 Oct 2020

@LysandreJik I am pretty sure that create_position_ids_from_input_ids() in modeling_longformer.py can generate position_ids that are larger than 4097 and lead to out-of-index problem.

PxYu on 27 Oct 2020

Hey @PxYu - yeah the reason is that even though Longformer has a max_position_embeddings of 4098 in its official config: https://huggingface.co/allenai/longformer-base-4096, the maximum input it can handle is only 4096 or otherwise the create_position_ids function will crash.

This problem is analogues for Roberta as discussed here: https://github.com/huggingface/transformers/pull/8044#issuecomment-716513140 .

@LysandreJik - I think it's wrong that Roberta and Longformer (as it was built on Roberta) have max_position_embeddings of 514 and 4098 respectively. I think we should definitely change the default max_position_embeddings in RobertaConfig and LongformerConfig and even if it breaks backward compatibility, I would advocate for changing the parameter in the configs of the main models as well. Someone using a input_ids of length max_position_embeddings = 514 or = 4098 would probably have led to errors anyways IMO. These issues will probably happen more often otherwise. What do you think?

patrickvonplaten on 27 Oct 2020

👍1

We should document two things:

The max_position_embeddings should not be used to create sequences, the tokenizer's max_len should be used instead. Since models and tokenizers work in pairs, it is not incoherent to have to rely on the tokenizer attribute to create model sequences.
We should document that models should try to respect, as much as possible, the convention that model.max_position_embeddings == tokenizer.max_len to prevent such confusion from happening in newer models.

LysandreJik on 29 Oct 2020

👍2

Agree! I think we could however also change the default value of max_position_embeddings of LongformerConfig and RobertaConfig to 4096 and 512 - this should not break anything as people load their saved config via from_pretrained(...).

The big advantage of doing so would be to somewhat prevent future models that built on top of Roberta/Longformer from having these wrong numbers.

patrickvonplaten on 30 Oct 2020

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