SentenceTransformer based on sentence-transformers/all-MiniLM-L12-v2

This is a sentence-transformers model finetuned from sentence-transformers/all-MiniLM-L12-v2. It maps sentences & paragraphs to a 384-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.

Model Details

Model Description

  • Model Type: Sentence Transformer
  • Base model: sentence-transformers/all-MiniLM-L12-v2
  • Maximum Sequence Length: 128 tokens
  • Output Dimensionality: 384 tokens
  • Similarity Function: Cosine Similarity

Model Sources

Full Model Architecture

SentenceTransformer(
  (0): Transformer({'max_seq_length': 128, 'do_lower_case': False}) with Transformer model: BertModel 
  (1): Pooling({'word_embedding_dimension': 384, 'pooling_mode_cls_token': False, 'pooling_mode_mean_tokens': True, 'pooling_mode_max_tokens': False, 'pooling_mode_mean_sqrt_len_tokens': False, 'pooling_mode_weightedmean_tokens': False, 'pooling_mode_lasttoken': False, 'include_prompt': True})
  (2): Normalize()
)

Usage

Direct Usage (Sentence Transformers)

First install the Sentence Transformers library:

pip install -U sentence-transformers

Then you can load this model and run inference.

from sentence_transformers import SentenceTransformer

# Download from the ๐Ÿค— Hub
model = SentenceTransformer("hanwenzhu/all-MiniLM-L12-v2-lr2e-4-bs256-nneg3-ml-ne5-mar17")
# Run inference
sentences = [
    'Mathlib.Algebra.Polynomial.HasseDeriv#31',
    'Polynomial.hasseDeriv_coeff',
    'HomologicalComplex.isZero_X_of_isStrictlySupported',
]
embeddings = model.encode(sentences)
print(embeddings.shape)
# [3, 384]

# Get the similarity scores for the embeddings
similarities = model.similarity(embeddings, embeddings)
print(similarities.shape)
# [3, 3]

Training Details

Training Dataset

Unnamed Dataset

  • Size: 5,817,740 training samples
  • Columns: state_name and premise_name
  • Approximate statistics based on the first 1000 samples:
    state_name premise_name
    type string string
    details
    • min: 11 tokens
    • mean: 16.2 tokens
    • max: 22 tokens
    • min: 3 tokens
    • mean: 11.26 tokens
    • max: 36 tokens
  • Samples:
    state_name premise_name
    Mathlib.Algebra.Field.IsField#12 Classical.choose_spec
    Mathlib.Algebra.Field.IsField#12 IsField.mul_comm
    Mathlib.Algebra.Field.IsField#12 eq_of_heq
  • Loss: loss.MaskedCachedMultipleNegativesRankingLoss with these parameters:
    {
        "scale": 20.0,
        "similarity_fct": "cos_sim"
    }
    

Evaluation Dataset

Unnamed Dataset

  • Size: 1,959 evaluation samples
  • Columns: state_name and premise_name
  • Approximate statistics based on the first 1000 samples:
    state_name premise_name
    type string string
    details
    • min: 10 tokens
    • mean: 15.97 tokens
    • max: 22 tokens
    • min: 5 tokens
    • mean: 11.48 tokens
    • max: 35 tokens
  • Samples:
    state_name premise_name
    Mathlib.Algebra.Algebra.Hom#80 AlgHom.commutes
    Mathlib.Algebra.Algebra.NonUnitalSubalgebra#237 NonUnitalAlgHom.instNonUnitalAlgSemiHomClass
    Mathlib.Algebra.Algebra.NonUnitalSubalgebra#237 NonUnitalAlgebra.mem_top
  • Loss: loss.MaskedCachedMultipleNegativesRankingLoss with these parameters:
    {
        "scale": 20.0,
        "similarity_fct": "cos_sim"
    }
    

Training Hyperparameters

Non-Default Hyperparameters

  • eval_strategy: steps
  • per_device_train_batch_size: 256
  • per_device_eval_batch_size: 64
  • learning_rate: 0.0002
  • num_train_epochs: 5.0
  • lr_scheduler_type: cosine
  • warmup_ratio: 0.03
  • bf16: True
  • dataloader_num_workers: 4

All Hyperparameters

Click to expand
  • overwrite_output_dir: False
  • do_predict: False
  • eval_strategy: steps
  • prediction_loss_only: True
  • per_device_train_batch_size: 256
  • per_device_eval_batch_size: 64
  • per_gpu_train_batch_size: None
  • per_gpu_eval_batch_size: None
  • gradient_accumulation_steps: 1
  • eval_accumulation_steps: None
  • torch_empty_cache_steps: None
  • learning_rate: 0.0002
  • weight_decay: 0.0
  • adam_beta1: 0.9
  • adam_beta2: 0.999
  • adam_epsilon: 1e-08
  • max_grad_norm: 1.0
  • num_train_epochs: 5.0
  • max_steps: -1
  • lr_scheduler_type: cosine
  • lr_scheduler_kwargs: {}
  • warmup_ratio: 0.03
  • warmup_steps: 0
  • log_level: passive
  • log_level_replica: warning
  • log_on_each_node: True
  • logging_nan_inf_filter: True
  • save_safetensors: True
  • save_on_each_node: False
  • save_only_model: False
  • restore_callback_states_from_checkpoint: False
  • no_cuda: False
  • use_cpu: False
  • use_mps_device: False
  • seed: 42
  • data_seed: None
  • jit_mode_eval: False
  • use_ipex: False
  • bf16: True
  • fp16: False
  • fp16_opt_level: O1
  • half_precision_backend: auto
  • bf16_full_eval: False
  • fp16_full_eval: False
  • tf32: None
  • local_rank: 0
  • ddp_backend: None
  • tpu_num_cores: None
  • tpu_metrics_debug: False
  • debug: []
  • dataloader_drop_last: False
  • dataloader_num_workers: 4
  • dataloader_prefetch_factor: None
  • past_index: -1
  • disable_tqdm: False
  • remove_unused_columns: True
  • label_names: None
  • load_best_model_at_end: False
  • ignore_data_skip: False
  • fsdp: []
  • fsdp_min_num_params: 0
  • fsdp_config: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}
  • fsdp_transformer_layer_cls_to_wrap: None
  • accelerator_config: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}
  • deepspeed: None
  • label_smoothing_factor: 0.0
  • optim: adamw_torch
  • optim_args: None
  • adafactor: False
  • group_by_length: False
  • length_column_name: length
  • ddp_find_unused_parameters: None
  • ddp_bucket_cap_mb: None
  • ddp_broadcast_buffers: False
  • dataloader_pin_memory: True
  • dataloader_persistent_workers: False
  • skip_memory_metrics: True
  • use_legacy_prediction_loop: False
  • push_to_hub: False
  • resume_from_checkpoint: None
  • hub_model_id: None
  • hub_strategy: every_save
  • hub_private_repo: False
  • hub_always_push: False
  • gradient_checkpointing: False
  • gradient_checkpointing_kwargs: None
  • include_inputs_for_metrics: False
  • eval_do_concat_batches: True
  • fp16_backend: auto
  • push_to_hub_model_id: None
  • push_to_hub_organization: None
  • mp_parameters:
  • auto_find_batch_size: False
  • full_determinism: False
  • torchdynamo: None
  • ray_scope: last
  • ddp_timeout: 1800
  • torch_compile: False
  • torch_compile_backend: None
  • torch_compile_mode: None
  • dispatch_batches: None
  • split_batches: None
  • include_tokens_per_second: False
  • include_num_input_tokens_seen: False
  • neftune_noise_alpha: None
  • optim_target_modules: None
  • batch_eval_metrics: False
  • eval_on_start: False
  • use_liger_kernel: False
  • eval_use_gather_object: False
  • batch_sampler: batch_sampler
  • multi_dataset_batch_sampler: proportional

Training Logs

Click to expand
Epoch Step Training Loss loss
0.0004 10 6.2321 -
0.0009 20 6.1869 -
0.0013 30 5.9732 -
0.0018 40 5.664 -
0.0022 50 5.5547 -
0.0026 60 5.444 -
0.0031 70 5.3214 -
0.0035 80 5.2506 -
0.0040 90 5.1097 -
0.0044 100 5.044 -
0.0048 110 5.001 -
0.0053 120 5.0118 -
0.0057 130 4.8318 -
0.0062 140 4.8274 -
0.0066 150 4.7683 -
0.0070 160 4.7065 -
0.0075 170 4.6916 -
0.0079 180 4.6859 -
0.0084 190 4.641 -
0.0088 200 4.6174 -
0.0092 210 4.6516 -
0.0097 220 4.6408 -
0.0101 230 4.5452 -
0.0106 240 4.4376 -
0.0110 250 4.4505 -
0.0114 260 4.4188 -
0.0119 270 4.5416 -
0.0123 280 4.4036 -
0.0128 290 4.3716 -
0.0132 300 4.4278 -
0.0136 310 4.4089 -
0.0141 320 4.3297 -
0.0145 330 4.3806 -
0.0150 340 4.1996 -
0.0154 350 4.301 -
0.0158 360 4.2606 -
0.0163 370 4.254 -
0.0167 380 4.212 -
0.0172 390 4.2467 -
0.0176 400 4.1584 -
0.0180 410 4.2136 -
0.0185 420 4.2396 -
0.0189 430 4.2378 -
0.0194 440 4.2007 -
0.0198 450 4.1394 -
0.0202 460 4.2282 -
0.0207 470 4.1912 -
0.0211 480 4.2879 -
0.0216 490 4.106 -
0.0220 500 4.1463 -
0.0224 510 4.1244 -
0.0229 520 4.1425 -
0.0233 530 4.1112 -
0.0238 540 4.1122 -
0.0242 550 4.057 -
0.0246 560 4.1289 -
0.0251 570 4.0986 -
0.0255 580 4.0424 -
0.0260 590 4.0662 -
0.0264 600 4.0743 -
0.0268 610 4.0151 -
0.0273 620 3.9671 -
0.0277 630 4.013 -
0.0282 640 4.108 -
0.0286 650 4.0448 -
0.0290 660 4.0378 -
0.0295 670 4.0244 -
0.0299 680 3.9739 -
0.0304 690 4.0087 -
0.0308 700 3.9205 -
0.0312 710 3.9618 -
0.0317 720 3.9158 -
0.0321 730 3.9446 -
0.0326 740 3.8831 -
0.0330 750 3.9462 -
0.0334 760 3.9076 -
0.0339 770 3.9135 -
0.0343 780 3.9326 -
0.0348 790 3.9661 -
0.0352 800 3.9789 -
0.0356 810 3.821 -
0.0361 820 3.9227 -
0.0365 830 3.8306 -
0.0370 840 3.914 -
0.0374 850 3.7688 -
0.0378 860 3.872 -
0.0383 870 3.7765 -
0.0387 880 3.8352 -
0.0392 890 3.8048 -
0.0396 900 3.7835 -
0.0400 910 3.7257 -
0.0405 920 3.8683 -
0.0409 930 3.7596 -
0.0414 940 3.8021 -
0.0418 950 3.8071 -
0.0422 960 3.8436 -
0.0427 970 3.8086 -
0.0431 980 3.7806 -
0.0436 990 3.8124 -
0.0440 1000 3.8011 -
0.0444 1010 3.7173 -
0.0449 1020 3.7175 -
0.0453 1030 3.8145 -
0.0458 1040 3.7478 -
0.0462 1050 3.7432 -
0.0466 1060 3.77 -
0.0471 1070 3.8071 -
0.0475 1080 3.6848 -
0.0480 1090 3.7451 -
0.0484 1100 3.7065 -
0.0488 1110 3.7122 -
0.0493 1120 3.6611 -
0.0497 1130 3.7198 -
0.0500 1137 - 1.9881
0.0502 1140 3.7097 -
0.0506 1150 3.7886 -
0.0510 1160 3.7134 -
0.0515 1170 3.6009 -
0.0519 1180 3.743 -
0.0524 1190 3.6948 -
0.0528 1200 3.5993 -
0.0532 1210 3.6945 -
0.0537 1220 3.6236 -
0.0541 1230 3.61 -
0.0546 1240 3.6753 -
0.0550 1250 3.6376 -
0.0554 1260 3.5882 -
0.0559 1270 3.6905 -
0.0563 1280 3.5454 -
0.0568 1290 3.6019 -
0.0572 1300 3.6338 -
0.0576 1310 3.7021 -
0.0581 1320 3.5602 -
0.0585 1330 3.6088 -
0.0590 1340 3.5783 -
0.0594 1350 3.6099 -
0.0598 1360 3.6671 -
0.0603 1370 3.6 -
0.0607 1380 3.6125 -
0.0612 1390 3.63 -
0.0616 1400 3.5842 -
0.0620 1410 3.4877 -
0.0625 1420 3.6062 -
0.0629 1430 3.6039 -
0.0634 1440 3.52 -
0.0638 1450 3.5671 -
0.0642 1460 3.6287 -
0.0647 1470 3.5789 -
0.0651 1480 3.4494 -
0.0656 1490 3.6117 -
0.0660 1500 3.5354 -
0.0664 1510 3.54 -
0.0669 1520 3.5309 -
0.0673 1530 3.5197 -
0.0678 1540 3.5321 -
0.0682 1550 3.5214 -
0.0686 1560 3.5533 -
0.0691 1570 3.4996 -
0.0695 1580 3.6056 -
0.0700 1590 3.5286 -
0.0704 1600 3.5519 -
0.0708 1610 3.5282 -
0.0713 1620 3.5485 -
0.0717 1630 3.544 -
0.0722 1640 3.5892 -
0.0726 1650 3.5002 -
0.0730 1660 3.4184 -
0.0735 1670 3.5317 -
0.0739 1680 3.4487 -
0.0744 1690 3.4431 -
0.0748 1700 3.5365 -
0.0752 1710 3.4642 -
0.0757 1720 3.4115 -
0.0761 1730 3.456 -
0.0766 1740 3.4662 -
0.0770 1750 3.4666 -
0.0774 1760 3.5115 -
0.0779 1770 3.4323 -
0.0783 1780 3.4221 -
0.0788 1790 3.4998 -
0.0792 1800 3.5024 -
0.0796 1810 3.4714 -
0.0801 1820 3.3843 -
0.0805 1830 3.4754 -
0.0810 1840 3.4148 -
0.0814 1850 3.3943 -
0.0818 1860 3.4642 -
0.0823 1870 3.5303 -
0.0827 1880 3.4522 -
0.0832 1890 3.4357 -
0.0836 1900 3.4872 -
0.0840 1910 3.4548 -
0.0845 1920 3.5129 -
0.0849 1930 3.3739 -
0.0854 1940 3.3893 -
0.0858 1950 3.4615 -
0.0862 1960 3.4024 -
0.0867 1970 3.4489 -
0.0871 1980 3.407 -
0.0876 1990 3.4463 -
0.0880 2000 3.374 -
0.0884 2010 3.4189 -
0.0889 2020 3.4141 -
0.0893 2030 3.4273 -
0.0898 2040 3.4397 -
0.0902 2050 3.4994 -
0.0906 2060 3.3854 -
0.0911 2070 3.4111 -
0.0915 2080 3.4001 -
0.0920 2090 3.3708 -
0.0924 2100 3.4405 -
0.0928 2110 3.4141 -
0.0933 2120 3.3916 -
0.0937 2130 3.36 -
0.0942 2140 3.4311 -
0.0946 2150 3.3726 -
0.0950 2160 3.3535 -
0.0955 2170 3.4069 -
0.0959 2180 3.4195 -
0.0964 2190 3.3888 -
0.0968 2200 3.2911 -
0.0972 2210 3.3258 -
0.0977 2220 3.3438 -
0.0981 2230 3.4223 -
0.0986 2240 3.3433 -
0.0990 2250 3.3387 -
0.0994 2260 3.3545 -
0.0999 2270 3.2985 -
0.1001 2274 - 1.8921
0.1003 2280 3.2899 -
0.1008 2290 3.3553 -
0.1012 2300 3.3363 -
0.1016 2310 3.3067 -
0.1021 2320 3.3432 -
0.1025 2330 3.2771 -
0.1030 2340 3.3382 -
0.1034 2350 3.3449 -
0.1038 2360 3.3152 -
0.1043 2370 3.3884 -
0.1047 2380 3.3377 -
0.1052 2390 3.4296 -
0.1056 2400 3.3408 -
0.1060 2410 3.3298 -
0.1065 2420 3.2049 -
0.1069 2430 3.2954 -
0.1074 2440 3.3515 -
0.1078 2450 3.4093 -
0.1082 2460 3.2805 -
0.1087 2470 3.3148 -
0.1091 2480 3.3447 -
0.1096 2490 3.299 -
0.1100 2500 3.331 -
0.1104 2510 3.3101 -
0.1109 2520 3.307 -
0.1113 2530 3.2985 -
0.1118 2540 3.2943 -
0.1122 2550 3.2054 -
0.1126 2560 3.2247 -
0.1131 2570 3.3231 -
0.1135 2580 3.31 -
0.1140 2590 3.1949 -
0.1144 2600 3.2993 -
0.1148 2610 3.3238 -
0.1153 2620 3.2747 -
0.1157 2630 3.2343 -
0.1162 2640 3.1709 -
0.1166 2650 3.226 -
0.1170 2660 3.1823 -
0.1175 2670 3.3017 -
0.1179 2680 3.2518 -
0.1184 2690 3.267 -
0.1188 2700 3.2721 -
0.1192 2710 3.2388 -
0.1197 2720 3.2943 -
0.1201 2730 3.2847 -
0.1206 2740 3.2357 -
0.1210 2750 3.2395 -
0.1214 2760 3.2844 -
0.1219 2770 3.2426 -
0.1223 2780 3.2321 -
0.1228 2790 3.2434 -
0.1232 2800 3.2678 -
0.1236 2810 3.2168 -
0.1241 2820 3.2612 -
0.1245 2830 3.2129 -
0.1250 2840 3.323 -
0.1254 2850 3.2474 -
0.1258 2860 3.2582 -
0.1263 2870 3.2707 -
0.1267 2880 3.1792 -
0.1272 2890 3.248 -
0.1276 2900 3.1511 -
0.1280 2910 3.1873 -
0.1285 2920 3.2937 -
0.1289 2930 3.329 -
0.1294 2940 3.2944 -
0.1298 2950 3.277 -
0.1302 2960 3.2229 -
0.1307 2970 3.2448 -
0.1311 2980 3.1787 -
0.1316 2990 3.1463 -
0.1320 3000 3.2104 -
0.1324 3010 3.169 -
0.1329 3020 3.2585 -
0.1333 3030 3.2772 -
0.1338 3040 3.1355 -
0.1342 3050 3.1807 -
0.1346 3060 3.1542 -
0.1351 3070 3.2317 -
0.1355 3080 3.1524 -
0.1360 3090 3.1785 -
0.1364 3100 3.2429 -
0.1368 3110 3.2291 -
0.1373 3120 3.2127 -
0.1377 3130 3.2158 -
0.1382 3140 3.1747 -
0.1386 3150 3.1273 -
0.1390 3160 3.1862 -
0.1395 3170 3.215 -
0.1399 3180 3.2133 -
0.1404 3190 3.1247 -
0.1408 3200 3.1276 -
0.1412 3210 3.1264 -
0.1417 3220 3.1814 -
0.1421 3230 3.1948 -
0.1426 3240 3.1955 -
0.1430 3250 3.1975 -
0.1434 3260 3.2944 -
0.1439 3270 3.2601 -
0.1443 3280 3.2299 -
0.1448 3290 3.2304 -
0.1452 3300 3.2761 -
0.1456 3310 3.2344 -
0.1461 3320 3.15 -
0.1465 3330 3.1618 -
0.1470 3340 3.1848 -
0.1474 3350 3.2541 -
0.1478 3360 3.2181 -
0.1483 3370 3.1528 -
0.1487 3380 3.1594 -
0.1492 3390 3.2499 -
0.1496 3400 3.1627 -
0.1500 3410 3.1068 -
0.1501 3411 - 1.8237
0.1505 3420 3.1432 -
0.1509 3430 3.1234 -
0.1514 3440 3.135 -
0.1518 3450 3.2263 -
0.1522 3460 3.2149 -
0.1527 3470 3.2167 -
0.1531 3480 3.2188 -
0.1536 3490 3.1786 -
0.1540 3500 3.1897 -
0.1544 3510 3.1668 -
0.1549 3520 3.1545 -
0.1553 3530 3.1791 -
0.1558 3540 3.1333 -
0.1562 3550 3.2027 -
0.1566 3560 3.1903 -
0.1571 3570 3.2083 -
0.1575 3580 3.1571 -
0.1580 3590 3.0979 -
0.1584 3600 3.1939 -
0.1588 3610 3.2419 -
0.1593 3620 3.2895 -
0.1597 3630 3.1006 -
0.1602 3640 3.1691 -
0.1606 3650 3.1694 -
0.1610 3660 3.2381 -
0.1615 3670 3.246 -
0.1619 3680 3.1835 -
0.1624 3690 3.0894 -
0.1628 3700 3.1258 -
0.1632 3710 3.2302 -
0.1637 3720 3.1929 -
0.1641 3730 3.2028 -
0.1646 3740 3.1922 -
0.1650 3750 3.1843 -
0.1654 3760 3.1302 -
0.1659 3770 3.1583 -
0.1663 3780 3.2058 -
0.1668 3790 3.0715 -
0.1672 3800 3.0977 -
0.1676 3810 3.0988 -
0.1681 3820 3.0889 -
0.1685 3830 3.1694 -
0.1690 3840 3.1043 -
0.1694 3850 3.1153 -
0.1698 3860 3.1379 -
0.1703 3870 3.1722 -
0.1707 3880 3.1078 -
0.1712 3890 3.0635 -
0.1716 3900 3.1154 -
0.1720 3910 3.1195 -
0.1725 3920 3.094 -
0.1729 3930 3.087 -
0.1734 3940 3.1612 -
0.1738 3950 3.1344 -
0.1742 3960 3.234 -
0.1747 3970 3.5787 -
0.1751 3980 3.1878 -
0.1756 3990 3.0841 -
0.1760 4000 3.1308 -
0.1764 4010 3.0583 -
0.1769 4020 3.0529 -
0.1773 4030 3.1005 -
0.1778 4040 3.1302 -
0.1782 4050 3.0867 -
0.1787 4060 3.0806 -
0.1791 4070 3.1313 -
0.1795 4080 3.0209 -
0.1800 4090 3.1377 -
0.1804 4100 3.0006 -
0.1809 4110 3.1011 -
0.1813 4120 3.1383 -
0.1817 4130 3.0499 -
0.1822 4140 3.0779 -
0.1826 4150 3.0954 -
0.1831 4160 3.0676 -
0.1835 4170 3.0457 -
0.1839 4180 3.068 -
0.1844 4190 3.1466 -
0.1848 4200 3.0883 -
0.1853 4210 3.0638 -
0.1857 4220 3.071 -
0.1861 4230 3.0264 -
0.1866 4240 3.0557 -
0.1870 4250 3.0106 -
0.1875 4260 3.0173 -
0.1879 4270 2.9711 -
0.1883 4280 3.1116 -
0.1888 4290 3.057 -
0.1892 4300 3.0097 -
0.1897 4310 3.0541 -
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Framework Versions

  • Python: 3.11.8
  • Sentence Transformers: 3.1.1
  • Transformers: 4.45.1
  • PyTorch: 2.5.1.post302
  • Accelerate: 0.34.2
  • Datasets: 3.0.0
  • Tokenizers: 0.20.0

Citation

BibTeX

Sentence Transformers

@inproceedings{reimers-2019-sentence-bert,
    title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",
    author = "Reimers, Nils and Gurevych, Iryna",
    booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",
    month = "11",
    year = "2019",
    publisher = "Association for Computational Linguistics",
    url = "https://arxiv.org/abs/1908.10084",
}

MaskedCachedMultipleNegativesRankingLoss

@misc{gao2021scaling,
    title={Scaling Deep Contrastive Learning Batch Size under Memory Limited Setup},
    author={Luyu Gao and Yunyi Zhang and Jiawei Han and Jamie Callan},
    year={2021},
    eprint={2101.06983},
    archivePrefix={arXiv},
    primaryClass={cs.LG}
}
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