{
    "config": {
        "name": "cuda_pytorch_llama",
        "backend": {
            "name": "pytorch",
            "version": "2.5.1+cu124",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "llama",
            "model": "TinyLlama/TinyLlama-1.1B-Chat-v1.0",
            "processor": "TinyLlama/TinyLlama-1.1B-Chat-v1.0",
            "device": "cuda",
            "device_ids": "0",
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "device_map": null,
            "torch_dtype": "bfloat16",
            "eval_mode": true,
            "to_bettertransformer": false,
            "low_cpu_mem_usage": null,
            "attn_implementation": null,
            "cache_implementation": null,
            "autocast_enabled": false,
            "autocast_dtype": null,
            "torch_compile": false,
            "torch_compile_target": "forward",
            "torch_compile_config": {},
            "quantization_scheme": "torchao",
            "quantization_config": {
                "quant_type": "int4_weight_only",
                "group_size": 128
            },
            "deepspeed_inference": false,
            "deepspeed_inference_config": {},
            "peft_type": null,
            "peft_config": {}
        },
        "scenario": {
            "name": "inference",
            "_target_": "optimum_benchmark.scenarios.inference.scenario.InferenceScenario",
            "iterations": 10,
            "duration": 10,
            "warmup_runs": 10,
            "input_shapes": {
                "batch_size": 1,
                "sequence_length": 64
            },
            "new_tokens": null,
            "memory": true,
            "latency": true,
            "energy": false,
            "forward_kwargs": {},
            "generate_kwargs": {
                "max_new_tokens": 32,
                "min_new_tokens": 32
            },
            "call_kwargs": {}
        },
        "launcher": {
            "name": "process",
            "_target_": "optimum_benchmark.launchers.process.launcher.ProcessLauncher",
            "device_isolation": true,
            "device_isolation_action": "warn",
            "numactl": false,
            "numactl_kwargs": {},
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " AMD EPYC 7R32",
            "cpu_count": 16,
            "cpu_ram_mb": 66697.248768,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-5.10.228-219.884.amzn2.x86_64-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.10.12",
            "gpu": [
                "NVIDIA A10G"
            ],
            "gpu_count": 1,
            "gpu_vram_mb": 24146608128,
            "optimum_benchmark_version": "0.5.0.dev0",
            "optimum_benchmark_commit": null,
            "transformers_version": "4.47.0",
            "transformers_commit": null,
            "accelerate_version": "1.2.0",
            "accelerate_commit": null,
            "diffusers_version": "0.31.0",
            "diffusers_commit": null,
            "optimum_version": "1.23.3",
            "optimum_commit": null,
            "timm_version": "1.0.12",
            "timm_commit": null,
            "peft_version": "0.14.0",
            "peft_commit": null
        },
        "print_report": true,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": {
                "unit": "MB",
                "max_ram": 805.265408,
                "max_global_vram": 2889.351168,
                "max_process_vram": 0.0,
                "max_reserved": 2296.38144,
                "max_allocated": 2202.205696
            },
            "latency": {
                "unit": "s",
                "values": [
                    1.0078401489257813
                ],
                "count": 1,
                "total": 1.0078401489257813,
                "mean": 1.0078401489257813,
                "p50": 1.0078401489257813,
                "p90": 1.0078401489257813,
                "p95": 1.0078401489257813,
                "p99": 1.0078401489257813,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1504.743424,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.398912
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.020561920166015626,
                    0.02030364799499512,
                    0.02180886459350586,
                    0.020267072677612304,
                    0.020560640335083008,
                    0.019900896072387694,
                    0.019523935317993166,
                    0.02040083122253418,
                    0.02112918472290039,
                    0.019457279205322267,
                    0.020253055572509764,
                    0.019395519256591796,
                    0.019586496353149414,
                    0.01947145652770996,
                    0.019427583694458007,
                    0.019863967895507813,
                    0.020421152114868165
                ],
                "count": 17,
                "total": 0.3423335037231446,
                "mean": 0.020137264924890853,
                "p50": 0.020253055572509764,
                "p90": 0.020788825988769532,
                "p95": 0.021265120697021484,
                "p99": 0.021700115814208984,
                "stdev": 0.0006469532824789666,
                "stdev_": 3.212716746251344
            },
            "throughput": {
                "unit": "samples/s",
                "value": 49.65917684103866
            },
            "energy": null,
            "efficiency": null
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1504.743424,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.398912
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.6081724243164063,
                    0.6072374877929687,
                    0.6072730712890625,
                    0.6109540405273437,
                    0.6093588256835938,
                    0.6008172607421876,
                    0.5987265625,
                    0.60489013671875,
                    0.5888038940429687,
                    0.5997650146484375,
                    0.5880018920898438,
                    0.5992144165039063,
                    0.579533935546875,
                    0.5986135864257812,
                    0.5805004272460937,
                    0.6041526489257812,
                    0.60413916015625
                ],
                "count": 17,
                "total": 10.190154785156249,
                "mean": 0.5994208697150737,
                "p50": 0.6008172607421876,
                "p90": 0.6086469848632813,
                "p95": 0.6096778686523437,
                "p99": 0.6106988061523437,
                "stdev": 0.009410630490465411,
                "stdev_": 1.569953761359464
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 51.71658440043206
            },
            "energy": null,
            "efficiency": null
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.02005504035949707,
                    0.018721792221069337,
                    0.018710527420043945,
                    0.018686975479125977,
                    0.018653247833251955,
                    0.01869513511657715,
                    0.018602975845336912,
                    0.018873344421386717,
                    0.018551807403564453,
                    0.018557952880859374,
                    0.018670591354370117,
                    0.018529279708862305,
                    0.01884476852416992,
                    0.018673568725585937,
                    0.01860915184020996,
                    0.018701311111450195,
                    0.018675712585449217,
                    0.018721792221069337,
                    0.018721792221069337,
                    0.01880473518371582,
                    0.018506752014160157,
                    0.0186429443359375,
                    0.01864908790588379,
                    0.01860403251647949,
                    0.01901670455932617,
                    0.018541568756103514,
                    0.018555904388427736,
                    0.01863577651977539,
                    0.018695167541503906,
                    0.018667648315429688,
                    0.018959232330322266,
                    0.018681983947753906,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.02005504035949707,
                    0.018721792221069337,
                    0.018710527420043945,
                    0.018686975479125977,
                    0.018653247833251955,
                    0.01869513511657715,
                    0.018602975845336912,
                    0.018873344421386717,
                    0.018551807403564453,
                    0.018557952880859374,
                    0.018670591354370117,
                    0.018529279708862305,
                    0.01884476852416992,
                    0.018673568725585937,
                    0.01860915184020996,
                    0.018701311111450195,
                    0.018675712585449217,
                    0.018721792221069337,
                    0.018721792221069337,
                    0.01880473518371582,
                    0.018506752014160157,
                    0.0186429443359375,
                    0.01864908790588379,
                    0.01860403251647949,
                    0.01901670455932617,
                    0.018541568756103514,
                    0.018555904388427736,
                    0.01863577651977539,
                    0.018695167541503906,
                    0.018667648315429688,
                    0.018959232330322266,
                    0.018681983947753906,
                    0.019923839569091797,
                    0.01863987159729004,
                    0.018565120697021483,
                    0.018662399291992187,
                    0.018634912490844726,
                    0.018791263580322265,
                    0.018593791961669923,
                    0.019589120864868165,
                    0.019412992477416992,
                    0.019384319305419923,
                    0.019568639755249022,
                    0.019297279357910157,
                    0.01971609687805176,
                    0.019668991088867188,
                    0.01921023941040039,
                    0.01941094398498535,
                    0.01942630386352539,
                    0.019547136306762695,
                    0.019505151748657225,
                    0.019534847259521485,
                    0.019570688247680663,
                    0.019330047607421876,
                    0.019322879791259767,
                    0.019337215423583985,
                    0.019317760467529296,
                    0.01958502388000488,
                    0.019571712493896484,
                    0.019467264175415038,
                    0.019374080657958984,
                    0.01944473648071289,
                    0.01941196823120117,
                    0.019342336654663086,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.02005504035949707,
                    0.018721792221069337,
                    0.018710527420043945,
                    0.018686975479125977,
                    0.018653247833251955,
                    0.01869513511657715,
                    0.018602975845336912,
                    0.018873344421386717,
                    0.018551807403564453,
                    0.018557952880859374,
                    0.018670591354370117,
                    0.018529279708862305,
                    0.01884476852416992,
                    0.018673568725585937,
                    0.01860915184020996,
                    0.018701311111450195,
                    0.018675712585449217,
                    0.018721792221069337,
                    0.018721792221069337,
                    0.01880473518371582,
                    0.018506752014160157,
                    0.0186429443359375,
                    0.01864908790588379,
                    0.01860403251647949,
                    0.01901670455932617,
                    0.018541568756103514,
                    0.018555904388427736,
                    0.01863577651977539,
                    0.018695167541503906,
                    0.018667648315429688,
                    0.018959232330322266,
                    0.018681983947753906,
                    0.019923839569091797,
                    0.01863987159729004,
                    0.018565120697021483,
                    0.018662399291992187,
                    0.018634912490844726,
                    0.018791263580322265,
                    0.018593791961669923,
                    0.019589120864868165,
                    0.019412992477416992,
                    0.019384319305419923,
                    0.019568639755249022,
                    0.019297279357910157,
                    0.01971609687805176,
                    0.019668991088867188,
                    0.01921023941040039,
                    0.01941094398498535,
                    0.01942630386352539,
                    0.019547136306762695,
                    0.019505151748657225,
                    0.019534847259521485,
                    0.019570688247680663,
                    0.019330047607421876,
                    0.019322879791259767,
                    0.019337215423583985,
                    0.019317760467529296,
                    0.01958502388000488,
                    0.019571712493896484,
                    0.019467264175415038,
                    0.019374080657958984,
                    0.01944473648071289,
                    0.01941196823120117,
                    0.019342336654663086,
                    0.019896320343017578,
                    0.018685951232910156,
                    0.018687999725341797,
                    0.018728960037231446,
                    0.018622495651245116,
                    0.01863471984863281,
                    0.018775039672851563,
                    0.018709663391113282,
                    0.018605920791625978,
                    0.018749439239501953,
                    0.01879449653625488,
                    0.018552831649780274,
                    0.01869004821777344,
                    0.01867888069152832,
                    0.01857731246948242,
                    0.0188538875579834,
                    0.018679807662963867,
                    0.018693119049072265,
                    0.01883340835571289,
                    0.018611295700073242,
                    0.018397087097167968,
                    0.01846784019470215,
                    0.018640031814575197,
                    0.018634592056274414,
                    0.01874025535583496,
                    0.019052511215209962,
                    0.019134464263916014,
                    0.018891775131225585,
                    0.018637887954711913,
                    0.018678720474243165,
                    0.018729984283447267,
                    0.018957311630249024,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.02005504035949707,
                    0.018721792221069337,
                    0.018710527420043945,
                    0.018686975479125977,
                    0.018653247833251955,
                    0.01869513511657715,
                    0.018602975845336912,
                    0.018873344421386717,
                    0.018551807403564453,
                    0.018557952880859374,
                    0.018670591354370117,
                    0.018529279708862305,
                    0.01884476852416992,
                    0.018673568725585937,
                    0.01860915184020996,
                    0.018701311111450195,
                    0.018675712585449217,
                    0.018721792221069337,
                    0.018721792221069337,
                    0.01880473518371582,
                    0.018506752014160157,
                    0.0186429443359375,
                    0.01864908790588379,
                    0.01860403251647949,
                    0.01901670455932617,
                    0.018541568756103514,
                    0.018555904388427736,
                    0.01863577651977539,
                    0.018695167541503906,
                    0.018667648315429688,
                    0.018959232330322266,
                    0.018681983947753906,
                    0.019923839569091797,
                    0.01863987159729004,
                    0.018565120697021483,
                    0.018662399291992187,
                    0.018634912490844726,
                    0.018791263580322265,
                    0.018593791961669923,
                    0.019589120864868165,
                    0.019412992477416992,
                    0.019384319305419923,
                    0.019568639755249022,
                    0.019297279357910157,
                    0.01971609687805176,
                    0.019668991088867188,
                    0.01921023941040039,
                    0.01941094398498535,
                    0.01942630386352539,
                    0.019547136306762695,
                    0.019505151748657225,
                    0.019534847259521485,
                    0.019570688247680663,
                    0.019330047607421876,
                    0.019322879791259767,
                    0.019337215423583985,
                    0.019317760467529296,
                    0.01958502388000488,
                    0.019571712493896484,
                    0.019467264175415038,
                    0.019374080657958984,
                    0.01944473648071289,
                    0.01941196823120117,
                    0.019342336654663086,
                    0.019896320343017578,
                    0.018685951232910156,
                    0.018687999725341797,
                    0.018728960037231446,
                    0.018622495651245116,
                    0.01863471984863281,
                    0.018775039672851563,
                    0.018709663391113282,
                    0.018605920791625978,
                    0.018749439239501953,
                    0.01879449653625488,
                    0.018552831649780274,
                    0.01869004821777344,
                    0.01867888069152832,
                    0.01857731246948242,
                    0.0188538875579834,
                    0.018679807662963867,
                    0.018693119049072265,
                    0.01883340835571289,
                    0.018611295700073242,
                    0.018397087097167968,
                    0.01846784019470215,
                    0.018640031814575197,
                    0.018634592056274414,
                    0.01874025535583496,
                    0.019052511215209962,
                    0.019134464263916014,
                    0.018891775131225585,
                    0.018637887954711913,
                    0.018678720474243165,
                    0.018729984283447267,
                    0.018957311630249024,
                    0.020346879959106445,
                    0.01904435157775879,
                    0.01946112060546875,
                    0.019549184799194336,
                    0.019268608093261717,
                    0.019531776428222656,
                    0.01939967918395996,
                    0.01944166374206543,
                    0.01963929557800293,
                    0.019520511627197267,
                    0.01946931266784668,
                    0.019350528717041016,
                    0.019329023361206055,
                    0.019346464157104493,
                    0.019564512252807618,
                    0.019369983673095705,
                    0.01904947280883789,
                    0.019309568405151366,
                    0.01935670471191406,
                    0.019397727966308592,
                    0.01967296028137207,
                    0.019343360900878907,
                    0.019400703430175782,
                    0.01946009635925293,
                    0.01940787124633789,
                    0.01945088005065918,
                    0.019281951904296876,
                    0.019446752548217774,
                    0.019536895751953123,
                    0.020170751571655272,
                    0.0198154239654541,
                    0.02032537651062012,
                    0.020148223876953125,
                    0.01977552032470703,
                    0.019614688873291014,
                    0.019499008178710937,
                    0.019514368057250975,
                    0.019578880310058593,
                    0.01967411231994629,
                    0.01985740852355957,
                    0.01946112060546875,
                    0.01947238349914551,
                    0.01944883155822754,
                    0.01966182327270508,
                    0.019747840881347657,
                    0.01979903984069824,
                    0.019561471939086913,
                    0.01964851188659668,
                    0.019489791870117186,
                    0.020184064865112306,
                    0.01964236831665039,
                    0.01965056037902832,
                    0.019535871505737306,
                    0.019489791870117186,
                    0.019688447952270507,
                    0.01940787124633789,
                    0.019895296096801757,
                    0.01919398307800293,
                    0.019200895309448244,
                    0.019378175735473634,
                    0.019511295318603517,
                    0.019558399200439454,
                    0.019507200241088866,
                    0.020719615936279297,
                    0.01955740737915039,
                    0.01951638412475586,
                    0.019566591262817384,
                    0.019672063827514647,
                    0.019778560638427735,
                    0.020237312316894532,
                    0.019602432250976562,
                    0.019571712493896484,
                    0.01946009635925293,
                    0.01941196823120117,
                    0.01988198471069336,
                    0.019681280136108398,
                    0.019689472198486328,
                    0.019404800415039062,
                    0.019552255630493166,
                    0.019554304122924804,
                    0.01945088005065918,
                    0.019772415161132813,
                    0.019543039321899415,
                    0.01926655960083008,
                    0.01944576072692871,
                    0.019499008178710937,
                    0.019212287902832033,
                    0.019398656845092774,
                    0.019565568923950196,
                    0.01940787124633789,
                    0.01966694450378418,
                    0.019530752182006835,
                    0.019412992477416992,
                    0.01964031982421875,
                    0.0198604793548584,
                    0.02227507209777832,
                    0.020368383407592772,
                    0.019603456497192383,
                    0.019504127502441407,
                    0.019817472457885742,
                    0.01946931266784668,
                    0.019526655197143555,
                    0.01970278358459473,
                    0.01943756866455078,
                    0.019491840362548828,
                    0.01946419143676758,
                    0.019532800674438477,
                    0.01977446365356445,
                    0.019588096618652344,
                    0.019503103256225587,
                    0.019587072372436523,
                    0.019393535614013673,
                    0.01952783966064453,
                    0.019417951583862305,
                    0.019495935440063478,
                    0.019108863830566408,
                    0.019527679443359376,
                    0.01951750373840332,
                    0.019521631240844727,
                    0.019738496780395506,
                    0.019760095596313476,
                    0.019550207138061524,
                    0.01969875144958496,
                    0.019470272064208986,
                    0.019575807571411134,
                    0.019761152267456054,
                    0.019449855804443358,
                    0.02069708824157715,
                    0.019570688247680663,
                    0.019599359512329103,
                    0.019697696685791015,
                    0.01966486358642578,
                    0.019545087814331053,
                    0.019509248733520508,
                    0.01985843276977539,
                    0.01972428894042969,
                    0.01968332862854004,
                    0.01961676788330078,
                    0.019512319564819337,
                    0.01963007926940918,
                    0.01960857582092285,
                    0.019764223098754884,
                    0.019522560119628905,
                    0.019761152267456054,
                    0.019550207138061524,
                    0.019647487640380858,
                    0.019869695663452147,
                    0.019942399978637695,
                    0.01984819221496582,
                    0.019775487899780272,
                    0.01968639945983887,
                    0.019834880828857423,
                    0.019803136825561524,
                    0.019781631469726564,
                    0.019685375213623048,
                    0.01967103958129883,
                    0.019735551834106444,
                    0.019668991088867188,
                    0.01980723190307617,
                    0.020993024826049804,
                    0.01964646339416504,
                    0.019628032684326172,
                    0.019660863876342773,
                    0.01955526351928711,
                    0.01968435287475586,
                    0.019524608612060547,
                    0.019725311279296876,
                    0.019586048126220702,
                    0.01967001533508301,
                    0.019968000411987305,
                    0.019714048385620117,
                    0.019729408264160156,
                    0.019770368576049805,
                    0.019467296600341796,
                    0.019637216567993165,
                    0.019596288681030274,
                    0.019631103515625,
                    0.019800064086914062,
                    0.019834880828857423,
                    0.019861503601074217,
                    0.019636224746704102,
                    0.019575807571411134,
                    0.019655679702758787,
                    0.019404800415039062,
                    0.019733503341674806,
                    0.01953593635559082,
                    0.019701696395874022,
                    0.019547136306762695,
                    0.019575807571411134,
                    0.0194150390625,
                    0.01948467254638672,
                    0.020348928451538087,
                    0.01882316780090332,
                    0.019294208526611328,
                    0.019725311279296876,
                    0.019548223495483397,
                    0.0195328311920166,
                    0.01948355293273926,
                    0.02004275131225586,
                    0.019705856323242187,
                    0.019574783325195313,
                    0.019677183151245118,
                    0.019562496185302734,
                    0.019854335784912108,
                    0.019523616790771484,
                    0.019470304489135743,
                    0.019549184799194336,
                    0.019544160842895508,
                    0.01978870391845703,
                    0.019730432510375977,
                    0.01970790481567383,
                    0.01965465545654297,
                    0.019556352615356445,
                    0.01965977668762207,
                    0.01900748825073242,
                    0.018840576171875,
                    0.018699264526367186,
                    0.01866444778442383,
                    0.01902796745300293,
                    0.018757631301879883,
                    0.01884979248046875,
                    0.018803712844848632,
                    0.01878937530517578,
                    0.019947519302368166,
                    0.018728960037231446,
                    0.018883583068847656,
                    0.0188538875579834,
                    0.01884569549560547,
                    0.018449407577514648,
                    0.018588672637939452,
                    0.01863372802734375,
                    0.01861631965637207,
                    0.018573312759399413,
                    0.018919424057006837,
                    0.018413663864135742,
                    0.01857935905456543,
                    0.018577407836914063,
                    0.02029465675354004,
                    0.01963520050048828,
                    0.019761152267456054,
                    0.021583904266357423,
                    0.019765216827392577,
                    0.019518463134765626,
                    0.019689472198486328,
                    0.01963929557800293,
                    0.019586048126220702,
                    0.019517440795898438,
                    0.01942323112487793,
                    0.019685375213623048,
                    0.019575807571411134,
                    0.019805183410644533,
                    0.01965977668762207,
                    0.01947340774536133,
                    0.019535871505737306,
                    0.019530752182006835,
                    0.0208855037689209,
                    0.01967820739746094,
                    0.019326976776123047,
                    0.019294208526611328,
                    0.019524608612060547,
                    0.019518463134765626,
                    0.019572736740112305,
                    0.019490816116333007,
                    0.019571712493896484,
                    0.019714048385620117,
                    0.019338239669799806,
                    0.019440767288208007,
                    0.01948044776916504,
                    0.019555328369140625,
                    0.019595264434814453,
                    0.01938739204406738,
                    0.019494911193847657,
                    0.01945292854309082,
                    0.020154367446899413,
                    0.019664896011352538,
                    0.0194467830657959,
                    0.01926655960083008,
                    0.01903001594543457,
                    0.019527679443359376,
                    0.0195379524230957,
                    0.019759071350097655,
                    0.019495935440063478,
                    0.019725311279296876,
                    0.01945702362060547,
                    0.01925017547607422,
                    0.019219520568847657,
                    0.01953683280944824,
                    0.021574655532836915,
                    0.02046156883239746,
                    0.02099001693725586,
                    0.019716032028198244,
                    0.019378175735473634,
                    0.018957311630249024,
                    0.019574783325195313,
                    0.019508224487304687,
                    0.01943654441833496,
                    0.018750463485717773,
                    0.01887846374511719,
                    0.018623584747314452,
                    0.01863158416748047,
                    0.0186060791015625,
                    0.01898700714111328,
                    0.01884979248046875,
                    0.0186746883392334,
                    0.01884160041809082,
                    0.01871676826477051,
                    0.018650016784667968,
                    0.01864192008972168,
                    0.018695167541503906,
                    0.018808832168579103,
                    0.0186296329498291,
                    0.01883852767944336,
                    0.018564319610595702,
                    0.018652959823608397,
                    0.018722816467285155,
                    0.01865116882324219,
                    0.018627552032470702,
                    0.018745471954345703,
                    0.0186213436126709,
                    0.01990345573425293,
                    0.01884364891052246,
                    0.01866035270690918,
                    0.01878835105895996,
                    0.018770944595336913,
                    0.018775039672851563,
                    0.018603008270263673,
                    0.018726911544799805,
                    0.01887539291381836,
                    0.018556928634643553,
                    0.018919424057006837,
                    0.020106239318847655,
                    0.021407743453979493,
                    0.020065280914306642,
                    0.019736576080322265,
                    0.019620864868164063,
                    0.019681280136108398,
                    0.019583999633789064,
                    0.019586048126220702,
                    0.019486719131469727,
                    0.0194201602935791,
                    0.019727359771728514,
                    0.019978239059448243,
                    0.019356672286987304,
                    0.019392511367797852,
                    0.01904025650024414,
                    0.018967552185058592,
                    0.0190515193939209,
                    0.019118080139160155,
                    0.01967103958129883,
                    0.019386367797851564,
                    0.019482784271240235,
                    0.020712320327758788,
                    0.019355615615844726,
                    0.019737600326538086,
                    0.019548160552978516,
                    0.019670175552368163,
                    0.019364864349365234,
                    0.01938115119934082,
                    0.019437503814697266,
                    0.01941606330871582,
                    0.019515455245971678,
                    0.01898796844482422,
                    0.018748416900634765,
                    0.01882828712463379,
                    0.01886412811279297,
                    0.01864806365966797,
                    0.018770944595336913,
                    0.018634752273559572,
                    0.018542591094970702,
                    0.018689023971557618,
                    0.018905088424682616,
                    0.018738176345825194,
                    0.018620512008666993,
                    0.018744384765625,
                    0.018654048919677733,
                    0.01869004821777344,
                    0.018732032775878905,
                    0.01863680076599121,
                    0.01885798454284668,
                    0.0186296329498291,
                    0.01880575942993164,
                    0.018711551666259766,
                    0.018753536224365236,
                    0.01985024070739746,
                    0.018710527420043945,
                    0.018511871337890624,
                    0.01884671974182129,
                    0.0187238712310791,
                    0.01868387222290039,
                    0.01879654312133789,
                    0.018689056396484376,
                    0.01870947265625,
                    0.019373056411743163,
                    0.019369983673095705,
                    0.019596288681030274,
                    0.023010303497314453,
                    0.020900928497314453,
                    0.019675071716308595,
                    0.019491840362548828,
                    0.019530752182006835,
                    0.019519487380981446,
                    0.01963315200805664,
                    0.019581951141357423,
                    0.01944780731201172,
                    0.019535871505737306,
                    0.019950592041015625,
                    0.019360767364501954,
                    0.01947750473022461,
                    0.01939967918395996,
                    0.018983936309814452,
                    0.01861030387878418,
                    0.01859689521789551,
                    0.01871139144897461,
                    0.018744319915771485,
                    0.018676736831665038,
                    0.02005504035949707,
                    0.018721792221069337,
                    0.018710527420043945,
                    0.018686975479125977,
                    0.018653247833251955,
                    0.01869513511657715,
                    0.018602975845336912,
                    0.018873344421386717,
                    0.018551807403564453,
                    0.018557952880859374,
                    0.018670591354370117,
                    0.018529279708862305,
                    0.01884476852416992,
                    0.018673568725585937,
                    0.01860915184020996,
                    0.018701311111450195,
                    0.018675712585449217,
                    0.018721792221069337,
                    0.018721792221069337,
                    0.01880473518371582,
                    0.018506752014160157,
                    0.0186429443359375,
                    0.01864908790588379,
                    0.01860403251647949,
                    0.01901670455932617,
                    0.018541568756103514,
                    0.018555904388427736,
                    0.01863577651977539,
                    0.018695167541503906,
                    0.018667648315429688,
                    0.018959232330322266,
                    0.018681983947753906,
                    0.019923839569091797,
                    0.01863987159729004,
                    0.018565120697021483,
                    0.018662399291992187,
                    0.018634912490844726,
                    0.018791263580322265,
                    0.018593791961669923,
                    0.019589120864868165,
                    0.019412992477416992,
                    0.019384319305419923,
                    0.019568639755249022,
                    0.019297279357910157,
                    0.01971609687805176,
                    0.019668991088867188,
                    0.01921023941040039,
                    0.01941094398498535,
                    0.01942630386352539,
                    0.019547136306762695,
                    0.019505151748657225,
                    0.019534847259521485,
                    0.019570688247680663,
                    0.019330047607421876,
                    0.019322879791259767,
                    0.019337215423583985,
                    0.019317760467529296,
                    0.01958502388000488,
                    0.019571712493896484,
                    0.019467264175415038,
                    0.019374080657958984,
                    0.01944473648071289,
                    0.01941196823120117,
                    0.019342336654663086,
                    0.019896320343017578,
                    0.018685951232910156,
                    0.018687999725341797,
                    0.018728960037231446,
                    0.018622495651245116,
                    0.01863471984863281,
                    0.018775039672851563,
                    0.018709663391113282,
                    0.018605920791625978,
                    0.018749439239501953,
                    0.01879449653625488,
                    0.018552831649780274,
                    0.01869004821777344,
                    0.01867888069152832,
                    0.01857731246948242,
                    0.0188538875579834,
                    0.018679807662963867,
                    0.018693119049072265,
                    0.01883340835571289,
                    0.018611295700073242,
                    0.018397087097167968,
                    0.01846784019470215,
                    0.018640031814575197,
                    0.018634592056274414,
                    0.01874025535583496,
                    0.019052511215209962,
                    0.019134464263916014,
                    0.018891775131225585,
                    0.018637887954711913,
                    0.018678720474243165,
                    0.018729984283447267,
                    0.018957311630249024,
                    0.020346879959106445,
                    0.01904435157775879,
                    0.01946112060546875,
                    0.019549184799194336,
                    0.019268608093261717,
                    0.019531776428222656,
                    0.01939967918395996,
                    0.01944166374206543,
                    0.01963929557800293,
                    0.019520511627197267,
                    0.01946931266784668,
                    0.019350528717041016,
                    0.019329023361206055,
                    0.019346464157104493,
                    0.019564512252807618,
                    0.019369983673095705,
                    0.01904947280883789,
                    0.019309568405151366,
                    0.01935670471191406,
                    0.019397727966308592,
                    0.01967296028137207,
                    0.019343360900878907,
                    0.019400703430175782,
                    0.01946009635925293,
                    0.01940787124633789,
                    0.01945088005065918,
                    0.019281951904296876,
                    0.019446752548217774,
                    0.019536895751953123,
                    0.020170751571655272,
                    0.0198154239654541,
                    0.02032537651062012,
                    0.020945920944213867,
                    0.019742944717407226,
                    0.019526432037353516,
                    0.01959321594238281,
                    0.019551231384277345,
                    0.019414016723632813,
                    0.019628032684326172,
                    0.019573759078979493,
                    0.019614719390869142,
                    0.019560447692871095,
                    0.019458240509033203,
                    0.019312448501586914,
                    0.019418111801147463,
                    0.01943654441833496,
                    0.019128320693969726,
                    0.019309568405151366,
                    0.01958518409729004,
                    0.019391328811645507,
                    0.019345407485961915,
                    0.01939455986022949,
                    0.019711999893188475,
                    0.0196997127532959,
                    0.019341312408447265,
                    0.019479551315307618,
                    0.01947648048400879,
                    0.019512319564819337,
                    0.019301376342773437,
                    0.019527679443359376,
                    0.019348480224609374,
                    0.019290111541748048,
                    0.019564544677734375,
                    0.019518463134765626
                ],
                "count": 4879,
                "total": 94.89895761299118,
                "mean": 0.019450493464437658,
                "p50": 0.01952783966064453,
                "p90": 0.019834880828857423,
                "p95": 0.020106239318847655,
                "p99": 0.021084262924194443,
                "stdev": 0.0005140796184291868,
                "stdev_": 2.643015815352475
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}