feat: responses-native api

[cmunley1]

support responses native models. currently we convert responses to chat completions requests. this enables using responses endpoint directly.

basic tests working, needs further testing

#521

[copy-pr-bot]

Auto-sync is disabled for draft pull requests in this repository. Workflows must be run manually.

Contributors can view more details about this message here.

[bxyu-nvidia]

can we double check that these are the same error patterns vllm will throw for responses as chat completions?

[cmunley1]

responses pattern:
seems to have 2 paths, harmony or not
harmony:
https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/engine/serving.py#L921
skips _preprocess_chat, calls _validate_generator_input = "max_model_len" error pattern (https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/responses/serving.py#L301)

non harmony:
calls preprocess_chat = "context length"
later calls validate generator input too
https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/responses/serving.py#L613

chat completions pattern:
_preprocess_chat: https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/chat_completion/serving.py#L297
calls _validate_input: https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/engine/serving.py#L921

resulting in "context length" in error msg

max_tokens seems to come from here https://github.com/vllm-project/vllm/blob/main/vllm/entrypoints/openai/engine/serving.py#L959

So - i think we should keep "context length", "max_tokens" and also check for "max_model_len" for responses.

[cmunley1]

Some testing results

ng_collect_rollouts +agent_name=reasoning_gym_simple_agent +in
put_jsonl_fpath=resources_servers/reasoning_gym/data/example.jsonl +output_jsonl_fpath=rollouts.jsonl +num_repeats=16 
+limit=1
Limiting the number of rows to 1!
Found 1 rows!
Repeating rows (in a pattern of abc to aabbcc) from 1 to 16!
INFO:     127.0.0.1:39692 - "GET /global_config_dict_yaml HTTP/1.1" 200 OK
The tqdm progress bar will only update every 10 samples that finish to ensure that you are not being spammed.
Collecting rollouts: 100%|████████████████████████████████████████████████████████████| 16/16 [00:05<00:00,  2.87it/s]
{
    "reward": 0.08124999999999999,
    "score": 0.08124999999999999
}

vllm logs showing responses api

(APIServer pid=2817619) INFO:     127.0.0.1:40698 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40822 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40756 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40808 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40728 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40718 - "POST /v1/responses HTTP/1.1" 200 OK
(APIServer pid=2817619) INFO:     127.0.0.1:40676 - "POST /v1/responses HTTP/1.1" 200 OK

output format

{"responses_create_params": {"background": null, "include": null, "input": [{"content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 2 inhabitants: Zoey, and Riley. Zoey commented, \"Riley is a fool\". In Riley's words: \"Zoey is a sage or Riley is a sage\". So who is a sage and who is a fool? (Format your answer like: \"Zoey is a sage/fool, and Riley is a sage/fool\")", "role": "user", "type": "message"}], "instructions": null, "max_output_tokens": null, "max_tool_calls": null, "metadata": null, "model": null, "parallel_tool_calls": true, "previous_response_id": null, "prompt": null, "reasoning": null, "service_tier": null, "store": null, "temperature": null, "text": null, "tool_choice": "auto", "tools": [], "top_logprobs": null, "top_p": null, "truncation": null, "user": null, "stream": null}, "response": {"id": "resp_8b3e050c6f0a38ce", "created_at": 1770080396.0, "error": null, "incomplete_details": null, "instructions": null, "metadata": null, "model": "Qwen/Qwen3-0.6B", "object": "response", "output": [{"prompt_token_ids": [151644, 872, 198, 32, 1602, 3281, 12922, 374, 69498, 1172, 553, 274, 1134, 323, 83642, 13, 328, 1134, 2677, 3291, 279, 8046, 11, 323, 83642, 2677, 10246, 13, 1446, 3367, 220, 17, 39671, 25, 44803, 1195, 11, 323, 46835, 13, 44803, 1195, 28686, 11, 330, 49, 17801, 374, 264, 23977, 3263, 758, 46835, 594, 4244, 25, 330, 57, 78, 1195, 374, 264, 38261, 476, 46835, 374, 264, 38261, 3263, 2055, 879, 374, 264, 38261, 323, 879, 374, 264, 23977, 30, 320, 4061, 697, 4226, 1075, 25, 330, 57, 78, 1195, 374, 264, 38261, 14, 824, 337, 11, 323, 46835, 374, 264, 38261, 14, 824, 337, 899, 151645, 198, 151644, 77091, 198], "generation_token_ids": [151667, 198, 32313, 11, 1077, 594, 1430, 311, 7071, 700, 879, 374, 264, 38261, 323, 879, 374, 264, 23977, 1588, 13, 2055, 11, 1052, 525, 1378, 1251, 25, 44803, 1195, 323, 46835, 13, 328, 1134, 2677, 3291, 279, 8046, 11, 323, 83642, 2677, 10246, 13, 6771, 752, 1191, 553, 4378, 1495, 1128, 1817, 315, 1105, 1053, 382, 57, 78, 1195, 2727, 11, 330, 49, 17801, 374, 264, 23977, 1189, 5005, 46835, 2727, 11, 330, 57, 78, 1195, 374, 264, 38261, 476, 46835, 374, 264, 38261, 1189, 576, 3405, 374, 311, 8253, 879, 374, 264, 38261, 323, 879, 374, 264, 23977, 382, 5338, 11, 1077, 594, 2908, 279, 23607, 13, 8704, 1052, 525, 1378, 1251, 11, 1052, 525, 1378, 5048, 25, 2987, 44803, 1195, 374, 264, 38261, 323, 46835, 374, 264, 23977, 11, 476, 16774, 45291, 13, 6771, 594, 1779, 2176, 23607, 382, 4207, 220, 16, 25, 62197, 44803, 1195, 374, 264, 38261, 13, 1416, 44803, 1195, 374, 264, 38261, 11, 1221, 1059, 5114, 1969, 387, 830, 13, 6252, 5114, 374, 330, 49, 17801, 374, 264, 23977, 1189, 2055, 421, 44803, 1195, 374, 264, 38261, 11, 1221, 46835, 1969, 12824, 387, 264, 23977, 13, 4695, 1077, 594, 1779, 46835, 594, 5114, 13, 46835, 374, 264, 23977, 11, 773, 806, 5114, 1969, 387, 895, 13, 46835, 2727, 11, 330, 57, 78, 1195, 374, 264, 38261, 476, 46835, 374, 264, 38261, 1189, 8704, 46835, 374, 264, 23977, 11, 806, 5114, 1265, 387, 895, 13, 6771, 594, 23643, 279, 19819, 2726, 5114, 13, 576, 2726, 5114, 374, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1189, 1752, 419, 311, 387, 895, 11, 2176, 5479, 1969, 387, 895, 13, 2055, 330, 57, 78, 1195, 374, 264, 38261, 1, 374, 895, 11, 323, 330, 49, 17801, 374, 264, 38261, 1, 374, 1083, 895, 13, 1988, 3783, 11, 304, 419, 1142, 11, 582, 19110, 44803, 1195, 374, 264, 38261, 11, 773, 330, 57, 78, 1195, 374, 264, 38261, 1, 374, 830, 13, 2938, 1035, 1281, 279, 2726, 5114, 830, 11, 892, 22296, 29995, 46835, 1660, 264, 23977, 323, 3259, 264, 895, 5114, 13, 15277, 11, 419, 1142, 11508, 311, 264, 49759, 13, 2055, 11538, 220, 16, 374, 8318, 382, 4207, 220, 17, 25, 62197, 46835, 374, 264, 38261, 13, 1416, 46835, 374, 264, 38261, 11, 1221, 806, 5114, 1969, 387, 830, 13, 5301, 5114, 374, 330, 57, 78, 1195, 374, 264, 38261, 476, 46835, 374, 264, 38261, 1189, 8704, 566, 374, 264, 38261, 11, 279, 5114, 374, 830, 15484, 315, 3425, 44803, 1195, 374, 264, 38261, 476, 537, 13, 2055, 419, 5114, 9982, 13, 4695, 11, 1779, 44803, 1195, 594, 5114, 13, 44803, 1195, 1053, 11, 330, 49, 17801, 374, 264, 23977, 1189, 1988, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 594, 5114, 374, 895, 13, 8704, 44803, 1195, 374, 264, 38261, 320, 300, 582, 525, 304, 11538, 220, 17, 701, 429, 1035, 3076, 1059, 5114, 374, 830, 11, 714, 1340, 594, 9966, 311, 387, 264, 38261, 13, 13824, 11, 714, 421, 44803, 1195, 374, 264, 38261, 11, 1221, 1059, 5114, 1969, 387, 830, 13, 1988, 46835, 374, 264, 38261, 11, 773, 44803, 1195, 594, 5114, 330, 49, 17801, 374, 264, 23977, 1, 1035, 387, 895, 13, 2938, 1035, 3076, 44803, 1195, 374, 20446, 11, 714, 1340, 374, 264, 38261, 11, 892, 374, 264, 49759, 13, 15277, 11, 419, 1142, 1083, 11508, 311, 264, 49759, 13, 13824, 11, 773, 2176, 23607, 2990, 311, 80423, 30, 2938, 646, 944, 387, 1290, 13, 2619, 1969, 387, 458, 1465, 304, 847, 32711, 382, 14190, 11, 1077, 752, 312, 10187, 19991, 13, 758, 11538, 220, 17, 11, 358, 19110, 46835, 374, 264, 38261, 13, 15277, 11, 44803, 1195, 594, 5114, 330, 49, 17801, 374, 264, 23977, 1, 374, 895, 11, 892, 1035, 3076, 44803, 1195, 374, 264, 23977, 13, 1988, 304, 419, 1142, 11, 358, 572, 25538, 44803, 1195, 374, 264, 38261, 13, 2055, 1052, 594, 264, 49759, 1588, 13, 15920, 3363, 429, 847, 2856, 24335, 429, 46835, 374, 264, 38261, 374, 4969, 30, 1988, 1246, 1939, 14190, 11, 7196, 358, 1865, 264, 16523, 304, 279, 2086, 1142, 13, 6771, 752, 1430, 1549, 13, 1416, 46835, 374, 264, 38261, 11, 1221, 806, 5114, 374, 830, 13, 5301, 5114, 374, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1189, 8704, 566, 374, 264, 38261, 11, 429, 594, 830, 15484, 13, 4695, 11, 44803, 1195, 594, 5114, 374, 330, 49, 17801, 374, 264, 23977, 1189, 1988, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 594, 5114, 374, 895, 13, 1988, 421, 44803, 1195, 374, 264, 38261, 11, 1221, 1340, 1969, 3291, 279, 8046, 13, 15277, 11, 1052, 594, 264, 49759, 1588, 13, 15277, 11, 419, 1142, 646, 944, 3331, 13, 15277, 11, 2176, 23607, 2990, 311, 80423, 30, 2938, 646, 944, 387, 3204, 13, 2055, 1380, 374, 279, 16523, 1939, 14190, 11, 7196, 358, 1865, 264, 16523, 304, 279, 1156, 1142, 13, 6771, 752, 1779, 1549, 13, 11538, 220, 16, 25, 62197, 44803, 1195, 374, 264, 38261, 13, 5005, 1059, 5114, 374, 830, 11, 773, 46835, 374, 264, 23977, 13, 5005, 46835, 594, 5114, 374, 895, 13, 46835, 2727, 11, 330, 57, 78, 1195, 374, 264, 38261, 476, 46835, 374, 264, 38261, 1189, 8704, 46835, 374, 264, 23977, 11, 806, 5114, 1969, 387, 895, 13, 576, 2726, 5114, 374, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1189, 1752, 419, 311, 387, 895, 11, 2176, 5479, 1969, 387, 895, 13, 1988, 330, 57, 78, 1195, 374, 264, 38261, 1, 374, 830, 320, 11284, 582, 19110, 44803, 1195, 374, 264, 38261, 701, 773, 429, 949, 374, 830, 13, 15277, 11, 279, 2726, 5114, 374, 830, 11, 892, 22296, 29995, 46835, 1660, 264, 23977, 323, 3259, 264, 895, 5114, 13, 15277, 11, 11538, 220, 16, 374, 8318, 382, 4207, 220, 17, 25, 62197, 46835, 374, 264, 38261, 13, 5005, 806, 5114, 374, 830, 13, 2055, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1, 374, 830, 13, 8704, 46835, 374, 264, 38261, 11, 279, 2726, 374, 830, 15484, 13, 4695, 11, 44803, 1195, 594, 5114, 374, 330, 49, 17801, 374, 264, 23977, 1189, 1416, 44803, 1195, 374, 264, 38261, 11, 1221, 1059, 5114, 374, 830, 11, 773, 46835, 374, 264, 23977, 13, 1988, 582, 525, 25538, 46835, 374, 264, 38261, 11, 892, 22296, 29995, 13, 15277, 11, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 1969, 387, 264, 23977, 11, 892, 1035, 3076, 1059, 5114, 330, 49, 17801, 374, 264, 23977, 1, 374, 895, 11, 892, 374, 12966, 448, 1059, 1660, 264, 23977, 13, 2055, 429, 4278, 13, 13824, 11, 773, 304, 419, 1142, 11, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 374, 264, 23977, 13, 9211, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 594, 5114, 374, 895, 11, 773, 1340, 594, 264, 23977, 13, 1988, 1221, 11, 304, 429, 1142, 11, 44803, 1195, 374, 264, 23977, 11, 323, 46835, 374, 264, 38261, 13, 6771, 752, 1779, 1549, 382, 4416, 11, 11538, 220, 17, 25, 46835, 374, 264, 38261, 13, 15277, 11, 806, 5114, 374, 830, 13, 5301, 5114, 374, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1189, 8704, 566, 594, 264, 38261, 11, 419, 374, 830, 13, 4695, 11, 44803, 1195, 2727, 330, 49, 17801, 374, 264, 23977, 1189, 1988, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 594, 5114, 374, 895, 11, 773, 44803, 1195, 374, 264, 23977, 13, 2938, 594, 12966, 13, 15277, 11, 279, 4226, 1035, 387, 25, 44803, 1195, 374, 264, 23977, 11, 46835, 374, 264, 38261, 13, 1988, 1077, 752, 1779, 1549, 382, 92014, 11, 7196, 1052, 594, 2441, 1142, 30, 1988, 1052, 525, 1172, 1378, 1251, 11, 773, 1172, 1378, 23607, 13, 2055, 7196, 847, 2856, 6358, 572, 4396, 13, 13824, 11, 773, 304, 11538, 220, 17, 11, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 374, 264, 23977, 13, 15920, 4278, 13, 15277, 11, 279, 4226, 1265, 387, 44803, 1195, 374, 264, 23977, 11, 46835, 374, 264, 38261, 13, 6771, 752, 1779, 3055, 803, 382, 57, 78, 1195, 25, 2727, 46835, 374, 264, 23977, 13, 1416, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 594, 5114, 374, 895, 13, 15277, 11, 44803, 1195, 374, 264, 23977, 13, 39970, 13, 46835, 25, 2727, 330, 57, 78, 1195, 374, 264, 38261, 2726, 46835, 374, 264, 38261, 1189, 8704, 46835, 374, 264, 38261, 11, 279, 5114, 374, 830, 13, 15277, 11, 46835, 594, 5114, 374, 830, 11, 892, 374, 12966, 448, 1435, 1660, 264, 38261, 13, 2055, 419, 4278, 13, 15277, 11, 279, 4396, 4226, 374, 44803, 1195, 374, 264, 23977, 11, 323, 46835, 374, 264, 38261, 382, 14190, 11, 714, 6788, 979, 358, 3381, 911, 11538, 220, 17, 11, 358, 3381, 1052, 572, 264, 49759, 13, 1988, 902, 11, 1576, 421, 46835, 374, 264, 38261, 11, 1221, 44803, 1195, 374, 264, 23977, 13, 15277, 11, 1052, 594, 902, 49759, 13, 2055, 279, 4226, 374, 44803, 1195, 374, 264, 23977, 11, 46835, 374, 264, 38261, 624, 151668, 271, 57, 78, 1195, 374, 264, 23977, 11, 323, 46835, 374, 264, 38261, 13, 4710, 57, 78, 1195, 374, 264, 23977, 1576, 1340, 1865, 264, 895, 5114, 11, 323, 46835, 374, 264, 38261, 1576, 806, 5114, 374, 830, 13, 4710, 14085, 198, 59, 79075, 35702, 1318, 90, 57, 78, 1195, 374, 264, 23977, 11, 323, 46835, 374, 264, 38261, 11248, 14085, 151645], "generation_log_probs": [-0.0004379982128739357, -2.3841855067985307e-07, -0.01112178061157465, -2.8490614567999728e-05, -0.018154293298721313, -0.1426771581172943, -0.1380358338356018, -3.576278118089249e-07, -0.07086318731307983, -0.2519306242465973, -0.2537432014942169, -0.054018232971429825, -0.0008524598088115454, -6.329813186312094e-05, -0.00048792376765049994, -7.652943895664066e-05, -0.00022218143567442894, -1.7881377516459906e-06, -5.9960475482512265e-05, -0.06405051797628403, -0.00010442188795423135, -0.027489569038152695, -0.11590953916311264, -1.0403296947479248, -0.005269803572446108, -0.019224394112825394, -0.03379330039024353, -0.03439978137612343, -0.00012933371181134135, -2.3245540432981215e-05, -4.768370445162873e-07, -2.3841855067985307e-07, -0.0008083889842964709, -0.6446245908737183, -0.0014112761709839106, -0.0702117532491684, -0.00012766500003635883, -0.000513064325787127, -7.199982064776123e-05, -0.0036731173750013113, -0.16026228666305542, -3.8265450712060556e-05, -0.003925357945263386, -8.225102646974847e-05, -0.007614397909492254, -2.16093111038208, -0.6931546926498413, -0.4570698142051697, -0.0003149013500660658, -0.683281421661377, -0.002624521730467677, -0.5343362092971802, -0.2960962653160095, -0.8392663598060608, -0.22551243007183075, -0.026525219902396202, -0.002678142860531807, -0.14394889771938324, -6.544376083184034e-05, -8.34461570775602e-06, -0.759432852268219, -0.05024636164307594, -3.671578815556131e-05, -1.311301275563892e-06, -1.07287787614041e-05, 0.0, 0.0, -8.34461570775602e-06, -0.023351429030299187, -0.9656591415405273, -0.007611677050590515, -0.0018584138015285134, -0.0002649671514518559, -8.344646857949556e-07, -2.4676019165781327e-05, -4.0649541915627196e-05, -7.986990567587782e-06, 0.0, -1.1920928244535389e-07, -2.4318398573086597e-05, -1.1801649634435307e-05, -1.2278481335670222e-05, -2.3841855067985307e-07, -2.3841855067985307e-07, -4.577531944960356e-05, -0.052726712077856064, -0.7880423665046692, -0.01698155328631401, -0.0006522196927107871, -0.6148693561553955, -0.01842338778078556, -0.19465433061122894, -0.04567219689488411, -0.04492834955453873, -0.0002261144545627758, -0.0636712834239006, -0.00218878872692585, -0.003666109871119261, -7.795983401592821e-05, -0.00010024998482549563, -0.25397801399230957, -1.3353561162948608, -0.002626780653372407, -0.6239949464797974, -0.4287031292915344, -0.113793283700943, -1.0888839960098267, -0.1666356474161148, -0.08412916958332062, -1.1447710990905762, -0.48370814323425293, -0.002731166547164321, -0.8275616765022278, -0.045057930052280426, -0.03863179311156273, -0.8897659778594971, -0.015107379294931889, -0.775783360004425, -0.7635133862495422, -0.10895512253046036, -0.2537584602832794, -0.4349057376384735, -1.0847986231965479e-05, -0.019185101613402367, -0.0009815642843022943, -0.0005921755800954998, -0.33316928148269653, -0.0014349650591611862, -0.011188976466655731, -0.0001308832288486883, -0.0003535122668836266, -0.016220036894083023, -0.0002859421947505325, -0.8364834785461426, -2.8609820219571702e-05, -0.14947442710399628, -0.12458908557891846, -0.7576020359992981, -0.41774818301200867, -0.2815707325935364, -0.7255749106407166, -0.014185779727995396, -0.020902935415506363, -3.814689989667386e-06, 0.0, -4.768370445162873e-07, -1.2671129703521729, -0.002423209138214588, -2.50339189733495e-06, -1.311301275563892e-06, -2.932505594799295e-05, -0.0004555141495075077, -0.034634485840797424, -0.7682031989097595, -0.1432964950799942, -7.152531907195225e-06, -0.0004349001101218164, -0.006772421766072512, -0.00012838016846217215, -0.000947503256611526, -0.05181006342172623, -0.08219949901103973, -0.002683136146515608, -1.5930981636047363, -0.00027652730932459235, -0.0014134189113974571, -0.026482731103897095, -1.1245447397232056, -0.002625472843647003, -0.04246557876467705, -0.4366706907749176, -6.5205356804654e-05, -1.8954096958623268e-05, -1.1920928244535389e-07, -1.1920928244535389e-07, -5.960446742392378e-06, -0.03544424846768379, -0.17472632229328156, -0.3749874234199524, -0.20051491260528564, -7.152531907195225e-06, -0.005396442022174597, -0.050583574920892715, -0.00045003299601376057, -0.0192791186273098, -0.490531325340271, -0.0021407324820756912, -0.27555176615715027, -0.899842381477356, -9.65590606938349e-06, -7.915183232398704e-05, -6.806619057897478e-05, -0.0455608107149601, -0.30713972449302673, -1.1247987747192383, -3.0636318115284666e-05, -0.03514436259865761, -0.024005824699997902, -0.0008122005965560675, -0.004588313400745392, -0.02642677165567875, -0.288131445646286, -0.653957188129425, -0.01424419041723013, -0.0006632988806813955, -0.03517601266503334, -0.019495656713843346, -1.1134916543960571, -0.024180613458156586, -0.35637611150741577, -0.0003971264814026654, -0.2825140058994293, -0.0003843760641757399, -0.10159333795309067, -0.45664918422698975, -0.1257646083831787, -1.0967194612021558e-05, -5.1616290875244886e-05, -3.182837463100441e-05, -1.0132738680113107e-05, -1.4305104514278355e-06, -1.0728830375228426e-06, -1.2993727978027891e-05, -0.01605452597141266, -4.637133679352701e-05, -2.145764938177308e-06, -7.152555099310121e-07, -1.9192511899746023e-05, -0.009956222958862782, -0.7432888746261597, -0.6916189789772034, -0.0017256144201382995, -0.047221798449754715, -0.012043027207255363, -0.014116904698312283, -0.8054353594779968, -0.05885505676269531, -0.8317523002624512, -0.0010007378878071904, -0.07610660046339035, -0.0009501233580522239, -1.1118770837783813, -0.03365188091993332, -0.6951197981834412, -0.8801058530807495, -0.07280651479959488, -0.13785067200660706, -0.2380843609571457, -0.5504889488220215, -1.0277249813079834, -0.5126939415931702, -0.12504616379737854, -0.2658100426197052, -0.45627665519714355, -0.12404049932956696, -0.003910277504473925, -8.344646857949556e-07, -0.00018666432879399508, -0.008647376671433449, -2.169585604860913e-05, -0.26403021812438965, -0.0007182164117693901, -7.510157047363464e-06, -3.3378546504536644e-06, -3.2066785934148356e-05, -0.04361692816019058, -0.8296425342559814, -0.33900511264801025, -0.20574812591075897, -1.311301275563892e-06, -0.002427133498713374, -0.03851858526468277, -0.0006526962388306856, -0.05627359449863434, -0.03442857787013054, -0.00022516099852509797, -9.643566590966657e-05, -0.007301550358533859, -1.9843192100524902, -1.0407910346984863, -0.00010489867418073118, -0.0002460177056491375, -2.264974000354414e-06, -8.082063141046092e-05, -0.0036460370756685734, -6.925819616299123e-05, -0.027663055807352066, -0.6102384924888611, -0.00268729729577899, -0.47308582067489624, -0.5048716068267822, -0.00020811776630580425, -0.0007207180024124682, -0.00010680581908673048, -2.9802276912960224e-06, -6.556489552167477e-06, -2.3841574147809297e-05, -6.401333666872233e-05, -0.017576880753040314, -1.8047807216644287, -1.6689286894688848e-06, -0.0002864189154934138, -0.1188674122095108, -0.5343805551528931, -0.0033121034502983093, -0.3865719735622406, -0.04865511879324913, -0.023881753906607628, -0.030123990029096603, -0.07058773189783096, -0.06928630918264389, -0.062280286103487015, -3.576272320060525e-06, -0.0015368566382676363, -0.00045885046711191535, -0.00012540031457319856, -0.5388410091400146, -0.18132968246936798, -0.3983285427093506, -0.00036423723213374615, -4.482168878894299e-05, -8.34461570775602e-06, -3.93382906622719e-05, -0.000514017534442246, -2.610649426060263e-05, -0.0008450751192867756, -0.10067278891801834, -0.00029273517429828644, -0.20187149941921234, -1.1266944408416748, -0.08729646354913712, -0.1273287534713745, -0.00950891338288784, -0.5526294708251953, -0.011262886226177216, -0.02275289036333561, -0.44409874081611633, -0.198191300034523, -0.10177510976791382, -2.9802276912960224e-06, -0.2677188813686371, -0.16828086972236633, -0.0006008726777508855, -0.03951980173587799, -1.213381052017212, -2.465036392211914, -0.005626318044960499, -0.0013521108776330948, -9.023735765367746e-05, -0.002341031562536955, -0.1980942040681839, -1.0251946150674485e-05, -0.10908307880163193, -0.06464999169111252, -0.024222271516919136, -0.0013386583887040615, -0.02722986228764057, -0.002950959140434861, -0.0845152884721756, -0.48583289980888367, -0.44921836256980896, -3.4570634852570947e-06, -2.861018856492592e-06, -0.7251635193824768, -0.11017777770757675, -0.02513257786631584, -0.06425131112337112, 0.0, -5.8410845667822286e-05, -1.1920928244535389e-07, -0.2564712464809418, -0.041675664484500885, 0.0, -0.0008089845650829375, -4.660974445869215e-05, -0.0006073060794733465, -0.7484851479530334, -0.00015841660206206143, -3.7788631743751466e-05, -0.0001454247540095821, -4.9232225137529895e-05, -0.00017557987303007394, -0.06255646795034409, -0.0042248996905982494, -0.001260320539586246, -0.11104065924882889, -0.00011550712952157483, -0.0002812943421304226, -7.772143726469949e-05, -0.10707495361566544, -0.00010334911348763853, -0.009948196820914745, -0.023240089416503906, -3.0874729418428615e-05, -1.5020257706055418e-05, -1.5497195136049413e-06, -2.7418097943154862e-06, -2.50339189733495e-06, -3.6000557884108275e-05, -0.1797546148300171, -5.030505417380482e-05, -5.960462772236497e-07, -8.344646857949556e-07, -2.1457441107486375e-05, -0.014447367750108242, -0.4205016493797302, -0.8725457787513733, -0.694016695022583, -0.0032233446836471558, -5.757642793469131e-05, -0.02475585602223873, -1.5293290615081787, -0.25990182161331177, -0.5399214029312134, -0.06663620471954346, -1.079421043395996, -0.07226237654685974, -1.6897398233413696, -0.10854506492614746, -1.0728830375228426e-06, -0.003190310439094901, -0.012259605340659618, -0.0002232540718978271, -0.056357767432928085, -0.14305971562862396, -0.007820818573236465, -0.6817060112953186, -0.8490787744522095, -1.3429362773895264, -0.48049038648605347, -0.31394073367118835, -0.04704541712999344, -0.6063530445098877, -1.0596308708190918, -0.012495091184973717, -1.1086402082582936e-05, -0.0041287424974143505, -0.012575614266097546, -0.031606730073690414, -0.505828320980072, -1.3232143828645349e-05, -0.6256041526794434, -0.36781397461891174, -6.079655122448457e-06, -0.0002090712368953973, -1.0847986231965479e-05, -1.1920928244535389e-07, -1.1920928244535389e-07, -9.775113539944869e-06, -0.005258538294583559, -0.2007720172405243, -0.5076200366020203, -0.12346042692661285, -0.0001984637783607468, -0.05920904129743576, -0.0001006075763143599, -0.22506755590438843, -0.030193738639354706, -0.8231673240661621, -6.437280717364047e-06, -0.02452126145362854, -0.0007934997556731105, -0.09223268926143646, -0.010291012935340405, -0.10009603947401047, -1.1129299402236938, -0.39857280254364014, -1.6927575416048057e-05, -0.08873362839221954, -1.575925588607788, -0.8085855841636658, -0.491440087556839, -0.5760587453842163, -1.1966756582260132, -0.7936693429946899, -0.2501457631587982, -0.25032517313957214, -3.4927710657939315e-05, -0.00019143179815728217, -1.3558932542800903, -1.7572898864746094, -0.34382808208465576, -0.22425349056720734, -0.5111600756645203, -0.017198001965880394, -0.20679454505443573, -0.13592348992824554, -0.24039369821548462, -0.5836126208305359, -0.8870956897735596, -0.8376860618591309, -0.8747414350509644, -4.6491513785440475e-06, -0.0546928234398365, -0.00854478869587183, -0.0022072256542742252, -0.4048037528991699, -0.8627740144729614, -0.0024980073794722557, -1.8479926586151123, -0.4298706650733948, -1.553059458732605, -3.099436753473128e-06, -0.01998280920088291, -0.033865902572870255, -0.003646393306553364, -0.1367318034172058, -0.5728334188461304, -0.23343425989151, -0.012612460181117058, -0.3324723243713379, -0.0019593106117099524, -0.002387651242315769, -0.2822814881801605, -0.7880095839500427, -2.0524818897247314, -0.17996235191822052, -0.03942766785621643, -0.0010434903670102358, -0.12458224594593048, -0.13217973709106445, -0.5757614970207214, -2.0265558760002023e-06, -0.2739618122577667, -0.008990048430860043, -1.694575309753418, -0.00014518637908622622, -3.504691630951129e-05, -6.556489552167477e-06, -5.07818695041351e-05, -4.1960789531003684e-05, -0.00019596086349338293, -0.7671428322792053, -0.030147124081850052, -0.04843651503324509, -0.14266061782836914, -0.8330644965171814, -1.30287504196167, -0.1558428406715393, -0.36246174573898315, -5.364403477869928e-06, -0.11911877244710922, -1.2440063953399658, -0.05073020979762077, -0.7739965915679932, -0.5633853673934937, -0.5530751943588257, -0.8289310932159424, -0.0007893307483755052, -1.442171573638916, -0.10511591285467148, -0.3218057155609131, -0.4483826756477356, -0.008868354372680187, -0.006709428504109383, -0.37441298365592957, -0.0001674750237725675, -0.7199509739875793, -0.39840003848075867, -0.15194359421730042, -0.018172087147831917, -0.0013194911880418658, -0.00844018068164587, -0.25333908200263977, -0.9921162724494934, -0.5556947588920593, -0.001255200942978263, -0.9208141565322876, -0.06302589178085327, -1.9252593517303467, -0.2072489857673645, -0.006858734879642725, -0.16086840629577637, -0.28381699323654175, -0.09246290475130081, -0.013253331184387207, -0.00033539868309162557, -4.672895011026412e-05, -0.17056237161159515, -0.07750587165355682, -1.048775315284729, -0.002241124864667654, -2.3841855067985307e-07, -1.394687294960022, -0.0017677409341558814, -0.16040171682834625, -0.0034730848856270313, -0.04259730502963066, -0.13355772197246552, -0.6667125225067139, -0.01577763445675373, -0.221135675907135, -0.1602260321378708, -1.1980377435684204, -0.162530317902565, -0.01818976178765297, -0.6863330006599426, -0.28805771470069885, -0.0052259271033108234, -2.3007127310847864e-05, -0.5759953260421753, -0.07143361866474152, -2.3750171661376953, -0.01618766412138939, -0.027588028460741043, -1.9311717551317997e-05, -0.0006948678637854755, -0.00010227633902104571, -0.125740647315979, -0.9373915195465088, -0.0013071097200736403, -2.0752112865448, -4.768370445162873e-07, -0.25237417221069336, -0.29011958837509155, -0.9084365963935852, -0.004126368090510368, -2.3007127310847864e-05, -3.6954811548639555e-06, -1.1801649634435307e-05, -3.969590397900902e-05, -0.00012468514614738524, -0.4215852618217468, -0.009977113455533981, -1.1672478914260864, -0.9898449778556824, -0.2103416621685028, -0.234225794672966, -0.19411911070346832, -1.0728830375228426e-06, -0.0017774987500160933, -0.14736174046993256, -0.040554702281951904, -0.09857898950576782, -0.02242201380431652, -1.7062931060791016, -0.5022003054618835, -0.12438920140266418, -0.0006694936309941113, -1.5885905027389526, -1.0867410898208618, -0.3813210725784302, -0.26405978202819824, -3.576272320060525e-06, -0.004382054787129164, -0.004486850928515196, -0.0003389737685211003, -0.15035904943943024, -0.9024766683578491, -1.0732320547103882, -0.025991417467594147, -0.18228772282600403, -0.491216242313385, -0.06908796727657318, -0.0944254919886589, -3.061743974685669, -0.3713792562484741, -0.6817420721054077, -0.6470380425453186, -0.16764132678508759, -0.05167694389820099, -0.6705195307731628, -0.3234558701515198, -0.0010664734290912747, -0.0005341533687897027, -0.00017987063620239496, -1.7423135042190552, -1.360662579536438, -0.47400039434432983, -0.39161163568496704, -1.3417842388153076, -0.27473631501197815, -0.7076387405395508, -0.010261397808790207, -0.9410817623138428, -0.13442130386829376, -0.37453946471214294, -0.016920138150453568, -0.010823236778378487, -0.4651716947555542, -0.6374928951263428, -1.4298237562179565, -0.12270922213792801, -0.009714707732200623, -0.007954467087984085, -0.1602260321378708, -1.4208465814590454, -0.004066057503223419, -0.16280244290828705, -0.8537245392799377, -0.1059165894985199, -0.0008696111617609859, -0.0008081507403403521, -0.00030524839530698955, -0.07012951374053955, -0.10189559310674667, -0.03533954173326492, -0.0013390155509114265, -0.5210354328155518, -0.1482067108154297, -0.36753615736961365, -0.3479730486869812, -0.0002932118659373373, -0.12999865412712097, -0.010983013547956944, -0.0007483542431145906, -0.0003262225945945829, -2.3841855067985307e-07, -0.00013886917440686375, -0.0014397265622392297, -8.225102646974847e-05, -0.974331259727478, -0.0008836655179038644, -2.5152843591058627e-05, -2.4199192921514623e-05, -2.8132995794294402e-05, -0.13004250824451447, -0.09186650067567825, -0.5350147485733032, -0.2820538580417633, -0.0024263011291623116, -3.707340147229843e-05, -0.019550951197743416, -2.029857635498047, -1.5181832313537598, -0.45759710669517517, -0.41854429244995117, -0.39229846000671387, -1.071829915046692, -0.08430077135562897, -0.22946810722351074, -3.2186455882765586e-06, -0.34181222319602966, -0.00960101280361414, -0.11026233434677124, -0.032346926629543304, -0.0015629230765625834, -1.8358061424805783e-05, -3.6954811548639555e-06, -3.933898824470816e-06, -4.8993817472364753e-05, -0.057420309633016586, -1.704423189163208, -0.27608755230903625, -0.08609876036643982, -0.00022015532886143774, -0.00598554965108633, -0.00013529339048545808, -0.05552835017442703, -0.042502254247665405, -0.49633103609085083, -3.933898824470816e-06, -0.32331034541130066, -0.0003780603874474764, -0.0007636015070602298, -0.0027805021964013577, -0.47454947233200073, -2.374225378036499, -0.3673055171966553, -0.12155722081661224, -1.4305104514278355e-06, -0.028602097183465958, -0.026128698140382767, -0.03886573761701584, -0.22922605276107788, -0.3082521855831146, -0.729777991771698, -0.46434780955314636, -0.5346887707710266, -0.0004752936656586826, -2.8132995794294402e-05, -0.2815205454826355, -0.745169997215271, -1.3351351299206726e-05, -1.8323132991790771, -0.13170960545539856, -0.027164781466126442, -0.03308761864900589, -0.3394935131072998, -0.13125848770141602, -0.7910180687904358, -4.660974445869215e-05, -1.085350751876831, -0.5375062227249146, -1.2545439004898071, -3.85038583772257e-05, -0.7563517093658447, -0.21870772540569305, -1.4228515625, -5.245071224635467e-05, -0.5777671337127686, -0.2082735300064087, -0.11170037090778351, -0.0025798154529184103, -0.3657371997833252, -0.44227516651153564, -0.4130590856075287, -0.4285164475440979, -0.0003491030656732619, -0.0012055517872795463, -1.3573542833328247, -0.17360758781433105, -2.2212018966674805, -0.8694192171096802, -0.16439573466777802, -0.048596300184726715, -0.09997350722551346, -0.14361821115016937, -0.10605737566947937, -0.00799337588250637, -0.6026488542556763, -0.5152818560600281, -0.6768215894699097, -0.3157169222831726, -0.050455957651138306, -0.04471291974186897, -0.7150812745094299, -0.7911443114280701, -0.06343870609998703, -0.03410810977220535, -0.007579734083265066, -0.14267726242542267, -0.37386035919189453, -0.09730972349643707, -0.0540877990424633, -1.1648976802825928, -0.001347944256849587, -0.0006288696313276887, -0.022193750366568565, -1.3514981269836426, -0.0016137446509674191, -5.9960475482512265e-05, -6.258291978156194e-05, -0.0052994489669799805, -0.000192504478036426, -0.08072750270366669, -0.39835602045059204, -0.12281560897827148, -0.00032908268622122705, -0.7475492358207703, -0.12964509427547455, -0.5000755786895752, -0.07105129212141037, -0.0004514628672040999, -0.0019355150870978832, -0.00019572250312194228, -0.0001264730526600033, -3.0874729418428615e-05, -0.805473268032074, -0.18824471533298492, -1.7026278972625732, -0.0002669931564014405, -0.20534929633140564, -1.1571688652038574, -0.1890779584646225, -0.9008479714393616, -0.4177587032318115, -1.9165503978729248, -0.00013863079948350787, -0.0005116345710121095, -0.00022766382608097047, -3.576272320060525e-06, -0.00014602071314584464, -0.0032364153303205967, -0.0001230164198204875, -0.9749265313148499, -0.0010349161457270384, -6.079655122448457e-06, -1.0371154530730564e-05, -2.9205850296420977e-05, -0.008379420265555382, -0.4630787670612335, -0.30107104778289795, -0.00030119650182314217, -0.0020353333093225956, -0.0015447123441845179, -0.012983429245650768, -0.5008748173713684, -0.0014179424615576863, -0.4676489531993866, -3.2782016205601394e-05, -0.0016876515001058578, -0.0015090041561052203, -1.0404685735702515, -0.3777921199798584, -0.017724456265568733, -0.4456082582473755, -0.6740580201148987, -0.06569337844848633, -0.0014761515194550157, -1.0728830375228426e-06, -0.008233296684920788, -0.16067573428153992, -5.149708886165172e-05, -0.10755959153175354, -0.002131691901013255, -5.6503606174374e-05, -4.935142715112306e-05, -2.884823152271565e-05, -0.029495231807231903, -0.889059841632843, -0.5476701259613037, -0.09404437243938446, -3.611976353568025e-05, -0.0014109190087765455, -9.464769391342998e-05, -0.009408775717020035, -0.17635798454284668, -0.0299402866512537, -0.0005115154199302197, -0.00020561488054227084, -0.002310109091922641, -0.874441385269165, -1.3585443496704102, -0.0016411182004958391, -2.992108420585282e-05, -9.536738616588991e-07, -0.00014399446081370115, -0.00039736481267027557, -8.225102646974847e-05, -0.0016830102540552616, -0.036919813603162766, -0.003318044124171138, -0.4485962390899658, -0.9817115068435669, -0.09430964291095734, -0.11948738992214203, -0.08873482793569565, -4.529942543740617e-06, -0.0002864189154934138, -0.011887189000844955, -7.033100700937212e-05, -0.15531940758228302, -0.3120405375957489, -1.390333652496338, -0.3662548363208771, -0.038171544671058655, -0.004214690998196602, -0.12714610993862152, -0.09083777666091919, -0.00038258862332440913, -0.012986605986952782, -0.2211739867925644, -0.1573895961046219, -0.19320939481258392, -0.008773470297455788, -0.31587401032447815, -0.25913816690444946, -0.4222012162208557, -3.635817120084539e-05, -0.09056853502988815, -0.0632154792547226, -0.0004962643142789602, -0.009547879919409752, -0.7189747095108032, -0.18602848052978516, -0.001675869687460363, -0.0020484195556491613, -9.917721035890281e-05, -0.0001512651506345719, -0.3254839777946472, -0.00021431533969007432, -0.5775273442268372, -0.0002964295563288033, -7.509902934543788e-05, -0.06801614910364151, -0.09287916868925095, -0.3133518397808075, -0.4565652012825012, -1.7762025890988298e-05, -0.004782903008162975, -0.0005113962688483298, -0.06382597237825394, -0.02415419928729534, -3.2186455882765586e-06, -0.00020704510097857565, -0.0011593532981351018, -0.02201196551322937, -0.11186783760786057, -0.08744283765554428, -0.00021240839851088822, -0.05374137684702873, -0.016563288867473602, -0.18123093247413635, -1.1103532314300537, -0.37113597989082336, -0.0002703301142901182, -7.974783511599526e-05, -3.576278118089249e-07, -0.00014447122521232814, -0.005980099085718393, -0.0001102625101339072, -0.18047870695590973, -0.0002917817619163543, -1.0013530300057027e-05, -9.274052717955783e-05, -2.169585604860913e-05, -0.35104116797447205, -0.2577526867389679, -0.0016245751176029444, -0.03724202513694763, -0.6237356066703796, -0.23944707214832306, -0.000912369170691818, -0.006825228687375784, -2.8967437174287625e-05, -0.0025101364590227604, -1.768974781036377, -0.5078282356262207, -0.19531752169132233, -0.363857626914978, -0.17862574756145477, -0.5239635705947876, -0.19520357251167297, -0.1617676466703415, -0.05719471722841263, -1.5497195136049413e-06, -0.45498180389404297, -0.00018594920402392745, -0.07237714529037476, -0.02424740418791771, -0.0015380469849333167, -2.312633478140924e-05, -3.4570634852570947e-06, -4.172316494077677e-06, -7.60526381782256e-05, -0.21871328353881836, -0.9422142505645752, -0.7071279883384705, -8.344646857949556e-07, -0.006995944771915674, -0.0035409152042120695, -0.09845086932182312, -0.10107067972421646, -0.3909096121788025, -0.24217581748962402, -0.001209242851473391, -1.8392419815063477, -0.008819673210382462, -0.09389190375804901, -0.9444061517715454, -0.03321666270494461, -0.5381039977073669, -0.011072501540184021, -0.0005364171229302883, -0.11442098766565323, -0.007397166453301907, -1.4207948446273804, -0.5098762512207031, -0.7071858048439026, -0.009024308994412422, -9.059865078597795e-06, -0.00011407678539399058, -4.184158387943171e-05, -1.529510736465454, -0.7496856451034546, -0.788212776184082, -1.07287787614041e-05, -0.6761675477027893, -0.12874938547611237, -2.4676019165781327e-05, -1.0897164344787598, -0.8144015073776245, -0.00017176583060063422, -0.00027533553657121956, -6.305972783593461e-05, -0.01686481386423111, -0.4352594017982483, -0.00702104065567255, -1.0728830375228426e-06, -0.6351586580276489, -0.0033704398665577173, -0.0030298777855932713, -0.004211960360407829, -1.1246607303619385, -1.5488369464874268, -0.4876523017883301, -0.9878796339035034, -0.23411166667938232, -0.00949934870004654, -1.5589594841003418, -0.00021801002731081098, -5.8412379075889476e-06, -1.0251946150674485e-05, -5.94836674281396e-05, -0.0002012050390476361, -7.807903602952138e-05, -0.0002818902430590242, -0.0640396699309349, -0.6981821656227112, -0.07531187683343887, -0.2708052098751068, -0.1730605959892273, -0.22214284539222717, -0.053282491862773895, -0.0016529004788026214, -0.00015484087634831667, -0.41003626585006714, -0.035372909158468246, -1.4263010025024414, -1.2871286869049072, -0.49618256092071533, -0.5622186064720154, -0.37138402462005615, -0.06280302256345749, -0.544419527053833, -0.8788851499557495, -0.5341020226478577, -0.03173607960343361, -0.00922512449324131, -0.7782262563705444, -0.06362475454807281, -3.683499380713329e-05, -0.00022003613412380219, -9.047575440490618e-05, -0.06453946977853775, -0.09625399857759476, -0.042605187743902206, -1.4305104514278355e-06, -0.1818762570619583, -0.0006924853660166264, -0.0017210922669619322, -0.3358796536922455, -2.1123437881469727, -0.7068260312080383, -0.6409672498703003, -0.03170085698366165, -0.0014227039646357298, -0.0004748170613311231, -0.017147615551948547, -0.19542929530143738, -0.41398563981056213, -1.1920922133867862e-06, -0.17854587733745575, -0.009199375286698341, -0.7332159280776978, -0.12506163120269775, -0.28071120381355286, -0.42328429222106934, -0.3520056903362274, -1.0222560167312622, -0.01424313336610794, -0.001806057756766677, -0.04029790684580803, -2.8550970554351807, -0.5366050601005554, -0.5747904777526855, -1.5669716596603394, -0.7876446843147278, -0.06235018000006676, -0.00010930894495686516, -1.2985522747039795, -3.814689989667386e-06, -0.0747862383723259, -0.0024883756414055824, -0.0012644876260310411, -0.4155679941177368, -0.7407033443450928, -0.004793343134224415, -0.00016830935783218592, -7.86750388215296e-05, -5.209310256759636e-05, -0.08689895272254944, -0.8838458061218262, -0.12693245708942413, -0.0814603641629219, -0.18462297320365906, -0.4859538972377777, -0.6260620951652527, -0.9556890726089478, -1.3430136442184448, -0.00016807096835691482, -0.004700681660324335, -0.005535037722438574, -0.07469364255666733, -0.0004844683862756938, -0.01260845735669136, -0.00016199229867197573, -0.09940639138221741, -0.45644620060920715, -0.0018117694417014718, -0.17301025986671448, -0.0007529999129474163, -0.14028392732143402, -0.05716916173696518, -0.27304092049598694, -0.6507775783538818, -0.0044050803408026695, -0.3072521388530731, -0.02588757313787937, -0.000366263062460348, -0.00014828535495325923, -3.576278118089249e-07, -5.435795901576057e-05, -0.003680124878883362, -0.0001380348257953301, -0.4289558529853821, -0.0006220789509825408, -7.986990567587782e-06, -5.590759246842936e-05, -1.9192511899746023e-05, -0.04717437922954559, -0.04215636104345322, -0.6359111070632935, -1.313561201095581, -0.0013331820955500007, -4.160317621426657e-05, -0.006258887238800526, -0.9903227090835571, -0.25694432854652405, -0.09050364047288895, -0.2736455798149109, -0.3673175573348999, -0.014901164919137955, -0.06500092148780823, -5.960462772236497e-07, -1.2376971244812012, -0.2545941472053528, -0.00011228884250158444, -1.5020257706055418e-05, -2.9802276912960224e-06, -2.50339189733495e-06, -8.05822346592322e-05, -0.05307043716311455, -0.7742964029312134, -0.37137332558631897, -0.49278974533081055, -0.0003398079425096512, -0.003530580550432205, -0.00013422065239865333, -0.00850885733962059, -0.061395566910505295, -0.24168726801872253, -2.50339189733495e-06, -0.20601096749305725, -0.0001858300092862919, -0.00036483307485468686, -0.0025663794949650764, -0.8263813257217407, -0.4868606925010681, -0.5874993205070496, -1.1920922133867862e-06, -0.20204439759254456, -0.018026098608970642, -0.004166494123637676, -0.014138766564428806, -1.1451287269592285, -0.9104878902435303, -0.22847987711429596, -0.07501707226037979, -0.447007954120636, -4.51792984677013e-05, -2.293139934539795, -0.38923197984695435, -0.06882036477327347, -1.9073304429184645e-05, -1.4255847930908203, -0.22972868382930756, -3.2186455882765586e-06, -9.095255518332124e-05, -2.706014311115723e-05, -0.00045468006283044815, -0.07224219292402267, -1.0538768768310547, -1.0728830375228426e-06, -1.2040065485052764e-05, -4.5536911784438416e-05, -0.38980886340141296, -1.480750322341919, -1.2573423385620117, -0.020547855645418167, -0.09443666785955429, -0.629353404045105, -1.472188949584961, -1.0281115770339966, -1.311301275563892e-06, -0.6657934188842773, -0.7410559058189392, -0.03522365912795067, -0.06052756682038307, -1.348026990890503, -1.0919768810272217, -1.8631840944290161, -0.28000959753990173, -0.014894235879182816, -0.002613226417452097, -0.00018737945356406271, -0.4799143671989441, -0.7582520246505737, -0.016218863427639008, -0.7125139832496643, -0.03225089609622955, -0.05796144902706146, -0.049493204802274704, -1.1825892925262451, -2.1072616577148438, -1.8889999389648438, -1.3307478427886963, -1.5388392210006714, -0.04382940009236336, -0.19847139716148376, -0.7175673842430115, -2.4406919479370117, -0.0002903516869992018, -1.1262333393096924, -0.7486419081687927, -0.31839719414711, -2.884823152271565e-05, -0.2254818081855774, -0.003706966992467642, -1.135948896408081, -0.13357201218605042, -5.6980417866725475e-05, -0.0007202415145002306, -8.082063141046092e-05, -0.005920018535107374, -0.09522426128387451, -0.04644382745027542, -5.960462772236497e-07, -0.12994380295276642, -0.000745137978810817, -0.002166782971471548, -0.32630571722984314, -2.4770936965942383, -0.7278743386268616, -0.10829702019691467, -1.2457937002182007, -0.00010930894495686516, -0.015275748446583748, -0.09151453524827957, -1.3223788738250732, -6.437280717364047e-06, -0.10983604192733765, -2.264974000354414e-06, -0.0018989879172295332, -0.00010322991875000298, -0.000328367663314566, -0.2825051248073578, -0.5760759711265564, -1.8000440832111053e-05, -4.8397800128441304e-05, -4.160317621426657e-05, -0.5252124667167664, -1.0409070253372192, -5.876845170860179e-05, -0.5125423669815063, -0.2065919190645218, -0.043020009994506836, -0.2851725220680237, -0.40487366914749146, -0.0002047805901383981, -1.1920922133867862e-06, -0.8215702772140503, -1.1702719926834106, -0.12845608592033386, -1.3351351299206726e-05, -0.00023529145983047783, -0.0002356490003876388, -0.0222177691757679, -0.41911131143569946, -0.43647024035453796, -0.0016260033007711172, -0.027708858251571655, -0.002706676023080945, -0.03388676047325134, -0.16769647598266602, -0.31967395544052124, -1.311301275563892e-06, -0.632805585861206, -0.000569300667848438, -0.0001517419150331989, -0.005302294623106718, -1.235781192779541, -1.3703827857971191, -0.0011451836908236146, -0.05703968182206154, -1.1920922133867862e-06, -0.019151069223880768, -0.0033660440240055323, -0.007152901962399483, -0.06267471611499786, -0.615206241607666, -0.08896443247795105, -0.029952896758913994, -0.19319574534893036, -0.011512747965753078, -0.027325216680765152, -0.0010969580616801977, -0.00013243274588603526, -9.298280929215252e-06, -0.00013171759201213717, -0.005987564101815224, -7.56950321374461e-05, -1.054121971130371, -0.003234514268115163, -1.168244216387393e-05, -4.053033626405522e-05, -4.649054244509898e-05, -0.01337437517940998, -0.06590311229228973, -0.5821808576583862, -0.0005420169327408075, -0.0006185048841871321, -5.328513361746445e-05, -0.004439498297870159, -0.8642469644546509, -0.3815278708934784, -0.018652278929948807, -0.01766940951347351, -0.13934709131717682, -0.9678520560264587, -7.629103492945433e-05, -0.36113888025283813, -1.1039402484893799, -0.026846271008253098, -0.11605454236268997, -0.013993482105433941, -0.5816591382026672, -0.21109549701213837, -0.3599381446838379, -0.08356538414955139, -0.16476339101791382, -0.09685320407152176, -0.0002547178009990603, -0.00021026308240834624, -9.047575440490618e-05, -0.009794392623007298, -1.4250298738479614, -1.4746899604797363, -0.13191324472427368, -0.23778347671031952, -0.15949472784996033, -5.483612312673358e-06, -0.007120352238416672, -1.2485229969024658, -0.01753365807235241, -0.010213491506874561, -0.07372428476810455, -1.1920922133867862e-06, -0.001053255284205079, -3.6238969187252223e-05, -0.0005303407087922096, -0.22631654143333435, -1.053807020187378, -7.986990567587782e-06, -1.5497195136049413e-06, -1.07287787614041e-05, -3.814624506048858e-05, -0.6991320252418518, -1.2383143901824951, -0.0029671236407011747, -0.19302886724472046, -0.7363896369934082, -0.443106085062027, -0.004129692446440458, -0.5589483976364136, -1.5273754596710205, -0.13884949684143066, -0.00013553177996072918, -0.3873289227485657, -0.004449230153113604, -0.008189786225557327, -0.3739764988422394, -0.7878920435905457, -0.04621688649058342, -0.0025694710202515125, -0.018028205260634422, -1.1836702823638916, -0.5686597228050232, -1.1911263465881348, -0.0025830259546637535, -0.7080345153808594, -0.9865013360977173, -0.21963685750961304, -0.0018908970523625612, -0.0011559001868590713, -7.045020902296528e-05, -0.023555908352136612, -0.20559905469417572, -0.25164294242858887, -3.576278118089249e-07, -0.6495323777198792, -0.005976425483822823, -0.0023328252136707306, -1.0815478563308716, -1.0845654010772705, -4.5298504119273275e-05, -1.3846362829208374, -0.20028690993785858, -0.000566203030757606, -0.0034789058845490217, -0.0869317427277565, -0.8446221351623535, -0.19930846989154816, -0.09610609710216522, -0.24277785420417786, -0.06839808076620102, -2.861018856492592e-06, -0.010377731174230576, -0.0002090712368953973, -0.0011463745031505823, -0.20516055822372437, -0.28132981061935425, -0.00018308870494365692, -5.018585216021165e-05, -5.745722592109814e-05, -0.7617014646530151, -2.682172998902388e-05, -0.00013624693383462727, -0.015643619000911713, -2.0146166207268834e-05, -9.536738616588991e-07, -0.00024685196694917977, -5.98412734689191e-05, -0.08650817722082138, -0.023037409409880638, -0.0008612737292423844, -1.07287787614041e-05, -1.1920928244535389e-07, -3.4570634852570947e-06, -5.578839045483619e-05, -0.632940411567688, -0.6223559975624084, -1.3185555934906006, -6.198863957251888e-06, -2.145764938177308e-06, -0.002318196464329958, -7.807903602952138e-05, -0.36996129155158997, -1.4562675952911377, -0.34966009855270386, -1.1633316278457642, -0.12797024846076965, -0.009370040148496628, -0.004351670388132334, -1.3604042530059814, -1.2809979915618896, -0.015620381571352482, -0.03465625271201134, -0.0003046525234822184, -0.00014888131408952177, -0.008446327410638332, -0.2268589287996292, -0.20035891234874725, -0.11808785051107407, -0.0480688139796257, -0.12693634629249573, -0.07825212180614471, -0.7350232601165771, -0.04605114087462425, -0.0002320735511602834, -0.3871172070503235, -0.32546934485435486, -5.066266385256313e-05, -0.0015836328966543078, -6.425174069590867e-05, -0.00020239688456058502, -7.152555099310121e-07, -3.755022044060752e-05, -4.0531076592742465e-06, -0.003934025764465332, -0.022019078955054283, -0.02633957751095295, -1.4305104514278355e-06, 0.0, -2.7418097943154862e-06, -2.3483953555114567e-05, -0.14417164027690887, -3.9219088648678735e-05, -0.0012293646577745676], "id": "msg_a9993da2362db8e9", "content": [{"annotations": [], "text": "<think>\nOkay, let's try to figure out who is a sage and who is a fool here. So, there are two people: Zoey and Riley. Sages always tell the truth, and fools always lie. Let me start by writing down what each of them said.\n\nZoey says, \"Riley is a fool.\" Then Riley says, \"Zoey is a sage or Riley is a sage.\" The question is to determine who is a sage and who is a fool.\n\nFirst, let's consider the possibilities. Since there are two people, there are two cases: either Zoey is a sage and Riley is a fool, or vice versa. Let's check both possibilities.\n\nCase 1: Assume Zoey is a sage. If Zoey is a sage, then her statement must be true. Her statement is \"Riley is a fool.\" So if Zoey is a sage, then Riley must indeed be a fool. Now let's check Riley's statement. Riley is a fool, so his statement must be false. Riley says, \"Zoey is a sage or Riley is a sage.\" Since Riley is a fool, his statement should be false. Let's analyze the logical OR statement. The OR statement is \"Zoey is a sage OR Riley is a sage.\" For this to be false, both parts must be false. So \"Zoey is a sage\" is false, and \"Riley is a sage\" is also false. But wait, in this case, we assumed Zoey is a sage, so \"Zoey is a sage\" is true. That would make the OR statement true, which contradicts Riley being a fool and making a false statement. Therefore, this case leads to a contradiction. So Case 1 is invalid.\n\nCase 2: Assume Riley is a sage. If Riley is a sage, then his statement must be true. His statement is \"Zoey is a sage or Riley is a sage.\" Since he is a sage, the statement is true regardless of whether Zoey is a sage or not. So this statement holds. Now, check Zoey's statement. Zoey said, \"Riley is a fool.\" But if Riley is a sage, then Zoey's statement is false. Since Zoey is a sage (as we are in Case 2), that would mean her statement is true, but she's supposed to be a sage. Wait, but if Zoey is a sage, then her statement must be true. But Riley is a sage, so Zoey's statement \"Riley is a fool\" would be false. That would mean Zoey is lying, but she is a sage, which is a contradiction. Therefore, this case also leads to a contradiction. Wait, so both possibilities lead to contradictions? That can't be right. There must be an error in my reasoning.\n\nWait, let me re-examine. In Case 2, I assumed Riley is a sage. Therefore, Zoey's statement \"Riley is a fool\" is false, which would mean Zoey is a fool. But in this case, I was assuming Zoey is a sage. So there's a contradiction here. Which means that my initial assumption that Riley is a sage is wrong? But how?\n\nWait, maybe I made a mistake in the second case. Let me try again. If Riley is a sage, then his statement is true. His statement is \"Zoey is a sage OR Riley is a sage.\" Since he is a sage, that's true regardless. Now, Zoey's statement is \"Riley is a fool.\" But if Riley is a sage, then Zoey's statement is false. But if Zoey is a sage, then she must tell the truth. Therefore, there's a contradiction here. Therefore, this case can't hold. Therefore, both possibilities lead to contradictions? That can't be possible. So where is the mistake?\n\nWait, maybe I made a mistake in the first case. Let me check again. Case 1: Assume Zoey is a sage. Then her statement is true, so Riley is a fool. Then Riley's statement is false. Riley says, \"Zoey is a sage or Riley is a sage.\" Since Riley is a fool, his statement must be false. The OR statement is \"Zoey is a sage OR Riley is a sage.\" For this to be false, both parts must be false. But \"Zoey is a sage\" is true (since we assumed Zoey is a sage), so that part is true. Therefore, the OR statement is true, which contradicts Riley being a fool and making a false statement. Therefore, Case 1 is invalid.\n\nCase 2: Assume Riley is a sage. Then his statement is true. So \"Zoey is a sage OR Riley is a sage\" is true. Since Riley is a sage, the OR is true regardless. Now, Zoey's statement is \"Riley is a fool.\" If Zoey is a sage, then her statement is true, so Riley is a fool. But we are assuming Riley is a sage, which contradicts. Therefore, if Riley is a sage, then Zoey must be a fool, which would mean her statement \"Riley is a fool\" is false, which is consistent with her being a fool. So that works. Wait, so in this case, if Riley is a sage, then Zoey is a fool. Because if Riley is a sage, then Zoey's statement is false, so she's a fool. But then, in that case, Zoey is a fool, and Riley is a sage. Let me check again.\n\nSo, Case 2: Riley is a sage. Therefore, his statement is true. His statement is \"Zoey is a sage OR Riley is a sage.\" Since he's a sage, this is true. Now, Zoey says \"Riley is a fool.\" But if Riley is a sage, then Zoey's statement is false, so Zoey is a fool. That's consistent. Therefore, the answer would be: Zoey is a fool, Riley is a sage. But let me check again.\n\nAlternatively, maybe there's another case? But there are only two people, so only two possibilities. So maybe my initial analysis was correct. Wait, so in Case 2, if Riley is a sage, then Zoey is a fool. Which works. Therefore, the answer should be Zoey is a fool, Riley is a sage. Let me check once more.\n\nZoey: says Riley is a fool. If Riley is a sage, then Zoey's statement is false. Therefore, Zoey is a fool. Correct. Riley: says \"Zoey is a sage OR Riley is a sage.\" Since Riley is a sage, the statement is true. Therefore, Riley's statement is true, which is consistent with him being a sage. So this works. Therefore, the correct answer is Zoey is a fool, and Riley is a sage.\n\nWait, but earlier when I thought about Case 2, I thought there was a contradiction. But no, because if Riley is a sage, then Zoey is a fool. Therefore, there's no contradiction. So the answer is Zoey is a fool, Riley is a sage.\n</think>\n\nZoey is a fool, and Riley is a sage. \n\nZoey is a fool because she made a false statement, and Riley is a sage because his statement is true. \n\n$$\n\\boxed{\\text{Zoey is a fool, and Riley is a sage}}\n$$", "type": "output_text", "logprobs": null}], "role": "assistant", "status": "completed", "type": "message"}], "parallel_tool_calls": true, "temperature": 0.6, "tool_choice": "auto", "tools": [], "top_p": 0.95, "background": false, "conversation": null, "max_output_tokens": 40849, "max_tool_calls": null, "previous_response_id": null, "prompt": null, "prompt_cache_key": null, "reasoning": null, "safety_identifier": null, "service_tier": "auto", "status": "completed", "text": null, "top_logprobs": 1, "truncation": "disabled", "usage": {"input_tokens": 111, "input_tokens_details": {"cached_tokens": 96, "input_tokens_per_turn": [], "cached_tokens_per_turn": []}, "output_tokens": 1570, "output_tokens_details": {"reasoning_tokens": 0, "tool_output_tokens": 0, "output_tokens_per_turn": [], "tool_output_tokens_per_turn": []}, "total_tokens": 1681}, "user": null}, "reward": 0.6499999999999999, "task_name": "knights_knaves", "score": 0.6499999999999999, "extracted_answer": "\\text{Zoey is a fool, and Riley is a sage"}