{
    "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": 801.337344,
                "max_global_vram": 2889.351168,
                "max_process_vram": 0.0,
                "max_reserved": 2296.38144,
                "max_allocated": 2202.205696
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.9934985961914062
                ],
                "count": 1,
                "total": 0.9934985961914062,
                "mean": 0.9934985961914062,
                "p50": 0.9934985961914062,
                "p90": 0.9934985961914062,
                "p95": 0.9934985961914062,
                "p99": 0.9934985961914062,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1533.837312,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.398912
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.01980780792236328,
                    0.019785280227661132,
                    0.019747072219848633,
                    0.019571392059326172,
                    0.019972543716430664,
                    0.020391328811645508,
                    0.01960937690734863,
                    0.02027302360534668,
                    0.020046783447265626,
                    0.019569215774536134,
                    0.019539264678955077,
                    0.01961881637573242,
                    0.019810943603515624,
                    0.019787296295166016,
                    0.01958755111694336,
                    0.02026211166381836,
                    0.0196232967376709
                ],
                "count": 17,
                "total": 0.33700310516357423,
                "mean": 0.01982371206844554,
                "p50": 0.019785280227661132,
                "p90": 0.020266476440429688,
                "p95": 0.020296684646606444,
                "p99": 0.020372399978637695,
                "stdev": 0.0002646276473874944,
                "stdev_": 1.334904615612917
            },
            "throughput": {
                "unit": "samples/s",
                "value": 50.44463905384064
            },
            "energy": null,
            "efficiency": null
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1533.837312,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.398912
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.5929356689453125,
                    0.5909667358398437,
                    0.5886604614257812,
                    0.5977796630859376,
                    0.5982838745117187,
                    0.5945911254882813,
                    0.5921603393554687,
                    0.5884942626953125,
                    0.59260498046875,
                    0.58779150390625,
                    0.5889920043945313,
                    0.5944434814453124,
                    0.5869906005859375,
                    0.5879946899414062,
                    0.5872363891601563,
                    0.5930166015625,
                    0.5914146728515625
                ],
                "count": 17,
                "total": 10.054357055664061,
                "mean": 0.591432767980239,
                "p50": 0.5914146728515625,
                "p90": 0.5958665405273438,
                "p95": 0.5978805053710938,
                "p99": 0.5982032006835938,
                "stdev": 0.00341146860291756,
                "stdev_": 0.576814269957992
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 52.41508701972322
            },
            "energy": null,
            "efficiency": null
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.02028441619873047,
                    0.01905971145629883,
                    0.018934783935546876,
                    0.019066879272460938,
                    0.01887027168273926,
                    0.01888768005371094,
                    0.018954240798950195,
                    0.018965503692626954,
                    0.018942975997924806,
                    0.019013631820678712,
                    0.01903718376159668,
                    0.018969600677490234,
                    0.018884607315063476,
                    0.018884607315063476,
                    0.018890752792358398,
                    0.018935808181762694,
                    0.018925567626953126,
                    0.018909183502197266,
                    0.018894847869873048,
                    0.018911231994628908,
                    0.018852863311767578,
                    0.018874368667602538,
                    0.01883750343322754,
                    0.018922496795654296,
                    0.019102720260620116,
                    0.018886655807495118,
                    0.01881907272338867,
                    0.018869247436523438,
                    0.01884671974182129,
                    0.018988031387329102,
                    0.01884774398803711,
                    0.01883033561706543,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.02028441619873047,
                    0.01905971145629883,
                    0.018934783935546876,
                    0.019066879272460938,
                    0.01887027168273926,
                    0.01888768005371094,
                    0.018954240798950195,
                    0.018965503692626954,
                    0.018942975997924806,
                    0.019013631820678712,
                    0.01903718376159668,
                    0.018969600677490234,
                    0.018884607315063476,
                    0.018884607315063476,
                    0.018890752792358398,
                    0.018935808181762694,
                    0.018925567626953126,
                    0.018909183502197266,
                    0.018894847869873048,
                    0.018911231994628908,
                    0.018852863311767578,
                    0.018874368667602538,
                    0.01883750343322754,
                    0.018922496795654296,
                    0.019102720260620116,
                    0.018886655807495118,
                    0.01881907272338867,
                    0.018869247436523438,
                    0.01884671974182129,
                    0.018988031387329102,
                    0.01884774398803711,
                    0.01883033561706543,
                    0.02025062370300293,
                    0.018947071075439453,
                    0.018877439498901367,
                    0.018916351318359375,
                    0.018955263137817382,
                    0.01886617660522461,
                    0.018985984802246093,
                    0.018874399185180663,
                    0.01892348861694336,
                    0.0192993278503418,
                    0.019298303604125978,
                    0.018930688858032226,
                    0.018957311630249024,
                    0.018860031127929687,
                    0.018944032669067384,
                    0.018869216918945313,
                    0.01884774398803711,
                    0.019296255111694336,
                    0.01941609573364258,
                    0.018887712478637696,
                    0.018832319259643553,
                    0.018792448043823243,
                    0.018880512237548826,
                    0.01886617660522461,
                    0.019137535095214844,
                    0.01885081672668457,
                    0.01898700714111328,
                    0.018900991439819336,
                    0.018920448303222655,
                    0.018861087799072265,
                    0.018830303192138673,
                    0.01880268859863281,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.02028441619873047,
                    0.01905971145629883,
                    0.018934783935546876,
                    0.019066879272460938,
                    0.01887027168273926,
                    0.01888768005371094,
                    0.018954240798950195,
                    0.018965503692626954,
                    0.018942975997924806,
                    0.019013631820678712,
                    0.01903718376159668,
                    0.018969600677490234,
                    0.018884607315063476,
                    0.018884607315063476,
                    0.018890752792358398,
                    0.018935808181762694,
                    0.018925567626953126,
                    0.018909183502197266,
                    0.018894847869873048,
                    0.018911231994628908,
                    0.018852863311767578,
                    0.018874368667602538,
                    0.01883750343322754,
                    0.018922496795654296,
                    0.019102720260620116,
                    0.018886655807495118,
                    0.01881907272338867,
                    0.018869247436523438,
                    0.01884671974182129,
                    0.018988031387329102,
                    0.01884774398803711,
                    0.01883033561706543,
                    0.02025062370300293,
                    0.018947071075439453,
                    0.018877439498901367,
                    0.018916351318359375,
                    0.018955263137817382,
                    0.01886617660522461,
                    0.018985984802246093,
                    0.018874399185180663,
                    0.01892348861694336,
                    0.0192993278503418,
                    0.019298303604125978,
                    0.018930688858032226,
                    0.018957311630249024,
                    0.018860031127929687,
                    0.018944032669067384,
                    0.018869216918945313,
                    0.01884774398803711,
                    0.019296255111694336,
                    0.01941609573364258,
                    0.018887712478637696,
                    0.018832319259643553,
                    0.018792448043823243,
                    0.018880512237548826,
                    0.01886617660522461,
                    0.019137535095214844,
                    0.01885081672668457,
                    0.01898700714111328,
                    0.018900991439819336,
                    0.018920448303222655,
                    0.018861087799072265,
                    0.018830303192138673,
                    0.01880268859863281,
                    0.020057088851928712,
                    0.018893823623657227,
                    0.01882624053955078,
                    0.018939903259277344,
                    0.018824192047119142,
                    0.018832384109497072,
                    0.018880512237548826,
                    0.01902796745300293,
                    0.019002368927001953,
                    0.01887846374511719,
                    0.019002368927001953,
                    0.018757631301879883,
                    0.018908159255981445,
                    0.018874368667602538,
                    0.01880985641479492,
                    0.01886617660522461,
                    0.018909183502197266,
                    0.018861055374145508,
                    0.019145727157592773,
                    0.018888704299926756,
                    0.018897920608520507,
                    0.01925529670715332,
                    0.019138559341430664,
                    0.01883033561706543,
                    0.018940927505493164,
                    0.018962432861328125,
                    0.01883955192565918,
                    0.019072000503540038,
                    0.01882521629333496,
                    0.018876415252685547,
                    0.018952192306518553,
                    0.019050495147705078,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.02028441619873047,
                    0.01905971145629883,
                    0.018934783935546876,
                    0.019066879272460938,
                    0.01887027168273926,
                    0.01888768005371094,
                    0.018954240798950195,
                    0.018965503692626954,
                    0.018942975997924806,
                    0.019013631820678712,
                    0.01903718376159668,
                    0.018969600677490234,
                    0.018884607315063476,
                    0.018884607315063476,
                    0.018890752792358398,
                    0.018935808181762694,
                    0.018925567626953126,
                    0.018909183502197266,
                    0.018894847869873048,
                    0.018911231994628908,
                    0.018852863311767578,
                    0.018874368667602538,
                    0.01883750343322754,
                    0.018922496795654296,
                    0.019102720260620116,
                    0.018886655807495118,
                    0.01881907272338867,
                    0.018869247436523438,
                    0.01884671974182129,
                    0.018988031387329102,
                    0.01884774398803711,
                    0.01883033561706543,
                    0.02025062370300293,
                    0.018947071075439453,
                    0.018877439498901367,
                    0.018916351318359375,
                    0.018955263137817382,
                    0.01886617660522461,
                    0.018985984802246093,
                    0.018874399185180663,
                    0.01892348861694336,
                    0.0192993278503418,
                    0.019298303604125978,
                    0.018930688858032226,
                    0.018957311630249024,
                    0.018860031127929687,
                    0.018944032669067384,
                    0.018869216918945313,
                    0.01884774398803711,
                    0.019296255111694336,
                    0.01941609573364258,
                    0.018887712478637696,
                    0.018832319259643553,
                    0.018792448043823243,
                    0.018880512237548826,
                    0.01886617660522461,
                    0.019137535095214844,
                    0.01885081672668457,
                    0.01898700714111328,
                    0.018900991439819336,
                    0.018920448303222655,
                    0.018861087799072265,
                    0.018830303192138673,
                    0.01880268859863281,
                    0.020057088851928712,
                    0.018893823623657227,
                    0.01882624053955078,
                    0.018939903259277344,
                    0.018824192047119142,
                    0.018832384109497072,
                    0.018880512237548826,
                    0.01902796745300293,
                    0.019002368927001953,
                    0.01887846374511719,
                    0.019002368927001953,
                    0.018757631301879883,
                    0.018908159255981445,
                    0.018874368667602538,
                    0.01880985641479492,
                    0.01886617660522461,
                    0.018909183502197266,
                    0.018861055374145508,
                    0.019145727157592773,
                    0.018888704299926756,
                    0.018897920608520507,
                    0.01925529670715332,
                    0.019138559341430664,
                    0.01883033561706543,
                    0.018940927505493164,
                    0.018962432861328125,
                    0.01883955192565918,
                    0.019072000503540038,
                    0.01882521629333496,
                    0.018876415252685547,
                    0.018952192306518553,
                    0.019050495147705078,
                    0.02085068893432617,
                    0.019199039459228514,
                    0.018893760681152345,
                    0.018973695755004884,
                    0.01944063949584961,
                    0.020446207046508787,
                    0.020204544067382812,
                    0.019489791870117186,
                    0.018958335876464845,
                    0.018991104125976564,
                    0.019058687210083008,
                    0.018946048736572265,
                    0.01922764778137207,
                    0.019078144073486326,
                    0.018882560729980468,
                    0.019005439758300782,
                    0.019175424575805664,
                    0.018882560729980468,
                    0.018955263137817382,
                    0.0194201602935791,
                    0.019105791091918945,
                    0.01904947280883789,
                    0.01886310386657715,
                    0.01884569549560547,
                    0.018894847869873048,
                    0.019078144073486326,
                    0.018923519134521484,
                    0.018924543380737305,
                    0.01886207962036133,
                    0.01902796745300293,
                    0.01902284812927246,
                    0.018815999984741212,
                    0.01900441551208496,
                    0.01924198341369629,
                    0.019112960815429687,
                    0.01963929557800293,
                    0.018918399810791017,
                    0.019159040451049804,
                    0.019048479080200194,
                    0.019017696380615234,
                    0.018909183502197266,
                    0.019149824142456053,
                    0.018881536483764647,
                    0.018994176864624023,
                    0.019212287902832033,
                    0.019991552352905274,
                    0.01988812828063965,
                    0.0196177921295166,
                    0.019083263397216797,
                    0.019112960815429687,
                    0.019414016723632813,
                    0.018924543380737305,
                    0.019308544158935546,
                    0.018993152618408202,
                    0.018919424057006837,
                    0.01901260757446289,
                    0.018908159255981445,
                    0.018924543380737305,
                    0.018966527938842775,
                    0.018765823364257812,
                    0.018710527420043945,
                    0.018880512237548826,
                    0.01881395149230957,
                    0.02023628807067871,
                    0.018917375564575196,
                    0.01942937660217285,
                    0.019164255142211914,
                    0.01884048080444336,
                    0.018886655807495118,
                    0.018913280487060546,
                    0.01923583984375,
                    0.019008575439453126,
                    0.018831296920776366,
                    0.018868223190307617,
                    0.01881292724609375,
                    0.018844671249389648,
                    0.01879654312133789,
                    0.01923174476623535,
                    0.019894271850585937,
                    0.019579967498779296,
                    0.019045312881469725,
                    0.019133440017700197,
                    0.018905088424682616,
                    0.01882828712463379,
                    0.018748416900634765,
                    0.01924198341369629,
                    0.01958502388000488,
                    0.019556352615356445,
                    0.018885631561279297,
                    0.018911231994628908,
                    0.01899519920349121,
                    0.018966527938842775,
                    0.018800640106201173,
                    0.01888768005371094,
                    0.01884876823425293,
                    0.020158464431762696,
                    0.01886310386657715,
                    0.019099647521972657,
                    0.019058687210083008,
                    0.019100671768188478,
                    0.019091455459594727,
                    0.018940927505493164,
                    0.018877439498901367,
                    0.018973695755004884,
                    0.01900441551208496,
                    0.018970624923706055,
                    0.01880575942993164,
                    0.018925567626953126,
                    0.018792448043823243,
                    0.018787328720092773,
                    0.018790399551391602,
                    0.019165184020996092,
                    0.01970790481567383,
                    0.019164159774780275,
                    0.019341312408447265,
                    0.01908121681213379,
                    0.01882931137084961,
                    0.01886310386657715,
                    0.01900748825073242,
                    0.01885798454284668,
                    0.018906112670898437,
                    0.01882624053955078,
                    0.01886310386657715,
                    0.018944000244140623,
                    0.01886720085144043,
                    0.018880512237548826,
                    0.018893823623657227,
                    0.019998720169067383,
                    0.019088384628295898,
                    0.018883583068847656,
                    0.01883033561706543,
                    0.018950143814086915,
                    0.019356672286987304,
                    0.019935232162475586,
                    0.0190699520111084,
                    0.018950143814086915,
                    0.01886310386657715,
                    0.018940927505493164,
                    0.018954240798950195,
                    0.019355648040771483,
                    0.019104768753051758,
                    0.018911231994628908,
                    0.018924543380737305,
                    0.018939903259277344,
                    0.020534271240234374,
                    0.01923993682861328,
                    0.018951168060302736,
                    0.018956287384033203,
                    0.018837568283081054,
                    0.018909120559692384,
                    0.020624383926391602,
                    0.020336639404296874,
                    0.020304895401000975,
                    0.019703807830810546,
                    0.019310592651367187,
                    0.019099647521972657,
                    0.019050495147705078,
                    0.019145727157592773,
                    0.019332096099853514,
                    0.020406272888183592,
                    0.019095552444458007,
                    0.018949119567871094,
                    0.01903308868408203,
                    0.01902592086791992,
                    0.01901366424560547,
                    0.018805728912353516,
                    0.018898944854736328,
                    0.018998271942138673,
                    0.018912256240844725,
                    0.01899622344970703,
                    0.018954240798950195,
                    0.02043903923034668,
                    0.020477951049804686,
                    0.019902463912963866,
                    0.01940787124633789,
                    0.019139583587646485,
                    0.019324928283691405,
                    0.019306528091430665,
                    0.019032032012939452,
                    0.019162111282348633,
                    0.01909760093688965,
                    0.019143680572509765,
                    0.020141056060791016,
                    0.019371007919311522,
                    0.019092479705810548,
                    0.019368959426879884,
                    0.020163583755493163,
                    0.019284992218017577,
                    0.01904742431640625,
                    0.019120128631591796,
                    0.019184640884399414,
                    0.02084147262573242,
                    0.019130367279052735,
                    0.018931711196899414,
                    0.019017728805541992,
                    0.019150848388671874,
                    0.018861055374145508,
                    0.018991104125976564,
                    0.01900339126586914,
                    0.01886617660522461,
                    0.020539392471313478,
                    0.019896320343017578,
                    0.019272703170776367,
                    0.01922969627380371,
                    0.019919872283935547,
                    0.019123199462890626,
                    0.018968576431274413,
                    0.0190699520111084,
                    0.01902079963684082,
                    0.018925567626953126,
                    0.018962432861328125,
                    0.018984960556030273,
                    0.019113983154296875,
                    0.01906175994873047,
                    0.01882624053955078,
                    0.01965056037902832,
                    0.019215360641479492,
                    0.018877439498901367,
                    0.01939967918395996,
                    0.01941606330871582,
                    0.018968576431274413,
                    0.01881292724609375,
                    0.01900441551208496,
                    0.020051967620849608,
                    0.018882560729980468,
                    0.01883545684814453,
                    0.01887948799133301,
                    0.01883033561706543,
                    0.018929664611816405,
                    0.018860031127929687,
                    0.018905088424682616,
                    0.01884774398803711,
                    0.018851839065551757,
                    0.01886726379394531,
                    0.018825151443481444,
                    0.01904640007019043,
                    0.01900339126586914,
                    0.01902694320678711,
                    0.01902796745300293,
                    0.019191808700561523,
                    0.019529727935791014,
                    0.019211263656616212,
                    0.020287488937377928,
                    0.01920204734802246,
                    0.0191016960144043,
                    0.020191232681274415,
                    0.019105791091918945,
                    0.018950143814086915,
                    0.019325952529907226,
                    0.019155967712402345,
                    0.01889795112609863,
                    0.018838495254516602,
                    0.018818080902099608,
                    0.018959327697753905,
                    0.019346431732177736,
                    0.020772863388061523,
                    0.019545087814331053,
                    0.018945024490356444,
                    0.01903001594543457,
                    0.018955263137817382,
                    0.018940927505493164,
                    0.018909183502197266,
                    0.01885798454284668,
                    0.01906892776489258,
                    0.018897920608520507,
                    0.018882560729980468,
                    0.018771968841552734,
                    0.018932735443115235,
                    0.018910207748413087,
                    0.0188272647857666,
                    0.01903411293029785,
                    0.01904640007019043,
                    0.018719743728637696,
                    0.0188221435546875,
                    0.018997247695922852,
                    0.019013631820678712,
                    0.019307519912719725,
                    0.019346431732177736,
                    0.018912256240844725,
                    0.018941951751708985,
                    0.019001344680786132,
                    0.018851839065551757,
                    0.01887846374511719,
                    0.018953216552734374,
                    0.018915327072143554,
                    0.01887027168273926,
                    0.01903411293029785,
                    0.020486143112182616,
                    0.01926553535461426,
                    0.019901439666748046,
                    0.019781631469726564,
                    0.01921843147277832,
                    0.018954240798950195,
                    0.019275840759277345,
                    0.019670976638793945,
                    0.018952192306518553,
                    0.019054592132568358,
                    0.018959360122680666,
                    0.018916351318359375,
                    0.018932735443115235,
                    0.01924608039855957,
                    0.019590143203735352,
                    0.01904435157775879,
                    0.018900991439819336,
                    0.019096576690673828,
                    0.019175424575805664,
                    0.018976768493652343,
                    0.018977792739868164,
                    0.01883033561706543,
                    0.0191016960144043,
                    0.018858015060424806,
                    0.018961376190185546,
                    0.01897881507873535,
                    0.01904742431640625,
                    0.018888704299926756,
                    0.018946048736572265,
                    0.018964479446411133,
                    0.01886207962036133,
                    0.018893823623657227,
                    0.02003865623474121,
                    0.018956287384033203,
                    0.0190248966217041,
                    0.01886617660522461,
                    0.01882624053955078,
                    0.01887129592895508,
                    0.018667520523071288,
                    0.018873344421386717,
                    0.018989055633544923,
                    0.018894847869873048,
                    0.018934783935546876,
                    0.01880575942993164,
                    0.018935808181762694,
                    0.018929664611816405,
                    0.01881292724609375,
                    0.018891775131225585,
                    0.018968576431274413,
                    0.018882591247558592,
                    0.01894294357299805,
                    0.018954240798950195,
                    0.019005439758300782,
                    0.01884774398803711,
                    0.018883583068847656,
                    0.018979904174804687,
                    0.01897772789001465,
                    0.018960384368896483,
                    0.018868223190307617,
                    0.018930688858032226,
                    0.019219455718994142,
                    0.019603519439697265,
                    0.01918560028076172,
                    0.018917375564575196,
                    0.019998720169067383,
                    0.01903513526916504,
                    0.01927065658569336,
                    0.019318784713745117,
                    0.01886720085144043,
                    0.018876415252685547,
                    0.018889728546142577,
                    0.01885798454284668,
                    0.019335168838500977,
                    0.01982156753540039,
                    0.019551231384277345,
                    0.019107839584350587,
                    0.018917375564575196,
                    0.018900991439819336,
                    0.01899519920349121,
                    0.018840576171875,
                    0.018876415252685547,
                    0.018972671508789063,
                    0.01887129592895508,
                    0.018932735443115235,
                    0.01883340835571289,
                    0.01878432083129883,
                    0.018795455932617187,
                    0.018940927505493164,
                    0.018960384368896483,
                    0.01885491180419922,
                    0.01881088066101074,
                    0.018852863311767578,
                    0.01884671974182129,
                    0.018971647262573242,
                    0.018885631561279297,
                    0.01884364891052246,
                    0.02008576011657715,
                    0.019124223709106446,
                    0.018970624923706055,
                    0.018924543380737305,
                    0.01883955192565918,
                    0.0188723201751709,
                    0.018815999984741212,
                    0.018892799377441406,
                    0.018967552185058592,
                    0.01899622344970703,
                    0.018921472549438476,
                    0.018860031127929687,
                    0.019551231384277345,
                    0.02040729522705078,
                    0.01986867141723633,
                    0.01924403190612793,
                    0.019224576950073242,
                    0.01924300765991211,
                    0.019369983673095705,
                    0.01959321594238281,
                    0.019167232513427734,
                    0.018778112411499022,
                    0.01882624053955078,
                    0.019063840866088866,
                    0.018844640731811524,
                    0.019022911071777344,
                    0.018853824615478517,
                    0.01886412811279297,
                    0.01900851249694824,
                    0.019729408264160156,
                    0.019738624572753907,
                    0.019479551315307618,
                    0.02028441619873047,
                    0.01905971145629883,
                    0.018934783935546876,
                    0.019066879272460938,
                    0.01887027168273926,
                    0.01888768005371094,
                    0.018954240798950195,
                    0.018965503692626954,
                    0.018942975997924806,
                    0.019013631820678712,
                    0.01903718376159668,
                    0.018969600677490234,
                    0.018884607315063476,
                    0.018884607315063476,
                    0.018890752792358398,
                    0.018935808181762694,
                    0.018925567626953126,
                    0.018909183502197266,
                    0.018894847869873048,
                    0.018911231994628908,
                    0.018852863311767578,
                    0.018874368667602538,
                    0.01883750343322754,
                    0.018922496795654296,
                    0.019102720260620116,
                    0.018886655807495118,
                    0.01881907272338867,
                    0.018869247436523438,
                    0.01884671974182129,
                    0.018988031387329102,
                    0.01884774398803711,
                    0.01883033561706543,
                    0.02025062370300293,
                    0.018947071075439453,
                    0.018877439498901367,
                    0.018916351318359375,
                    0.018955263137817382,
                    0.01886617660522461,
                    0.018985984802246093,
                    0.018874399185180663,
                    0.01892348861694336,
                    0.0192993278503418,
                    0.019298303604125978,
                    0.018930688858032226,
                    0.018957311630249024,
                    0.018860031127929687,
                    0.018944032669067384,
                    0.018869216918945313,
                    0.01884774398803711,
                    0.019296255111694336,
                    0.01941609573364258,
                    0.018887712478637696,
                    0.018832319259643553,
                    0.018792448043823243,
                    0.018880512237548826,
                    0.01886617660522461,
                    0.019137535095214844,
                    0.01885081672668457,
                    0.01898700714111328,
                    0.018900991439819336,
                    0.018920448303222655,
                    0.018861087799072265,
                    0.018830303192138673,
                    0.01880268859863281,
                    0.020057088851928712,
                    0.018893823623657227,
                    0.01882624053955078,
                    0.018939903259277344,
                    0.018824192047119142,
                    0.018832384109497072,
                    0.018880512237548826,
                    0.01902796745300293,
                    0.019002368927001953,
                    0.01887846374511719,
                    0.019002368927001953,
                    0.018757631301879883,
                    0.018908159255981445,
                    0.018874368667602538,
                    0.01880985641479492,
                    0.01886617660522461,
                    0.018909183502197266,
                    0.018861055374145508,
                    0.019145727157592773,
                    0.018888704299926756,
                    0.018897920608520507,
                    0.01925529670715332,
                    0.019138559341430664,
                    0.01883033561706543,
                    0.018940927505493164,
                    0.018962432861328125,
                    0.01883955192565918,
                    0.019072000503540038,
                    0.01882521629333496,
                    0.018876415252685547,
                    0.018952192306518553,
                    0.019050495147705078,
                    0.02085068893432617,
                    0.019199039459228514,
                    0.018893760681152345,
                    0.018973695755004884,
                    0.01944063949584961,
                    0.020446207046508787,
                    0.020204544067382812,
                    0.019489791870117186,
                    0.018958335876464845,
                    0.018991104125976564,
                    0.019058687210083008,
                    0.018946048736572265,
                    0.01922764778137207,
                    0.019078144073486326,
                    0.018882560729980468,
                    0.019005439758300782,
                    0.019175424575805664,
                    0.018882560729980468,
                    0.018955263137817382,
                    0.0194201602935791,
                    0.019105791091918945,
                    0.01904947280883789,
                    0.01886310386657715,
                    0.01884569549560547,
                    0.018894847869873048,
                    0.019078144073486326,
                    0.018923519134521484,
                    0.018924543380737305,
                    0.01886207962036133,
                    0.01902796745300293,
                    0.01902284812927246,
                    0.018815999984741212,
                    0.020075519561767577,
                    0.018998271942138673,
                    0.01885798454284668,
                    0.01886412811279297,
                    0.0189040641784668,
                    0.018815999984741212,
                    0.018957311630249024,
                    0.018924543380737305,
                    0.018955263137817382,
                    0.018950176239013673,
                    0.0194682559967041,
                    0.01883545684814453,
                    0.018985984802246093,
                    0.01886518478393555,
                    0.018977760314941406,
                    0.018941951751708985,
                    0.019124223709106446,
                    0.018874368667602538,
                    0.018970624923706055,
                    0.01923072052001953,
                    0.018912256240844725,
                    0.019098623275756836,
                    0.019575807571411134,
                    0.019311616897583008,
                    0.018970624923706055,
                    0.0188538875579834,
                    0.019580928802490235,
                    0.019668991088867188,
                    0.01947238349914551,
                    0.019054592132568358,
                    0.018903039932250978,
                    0.019091455459594727
                ],
                "count": 4879,
                "total": 93.29714056015015,
                "mean": 0.019122184988757972,
                "p50": 0.018976768493652343,
                "p90": 0.01963929557800293,
                "p95": 0.02007654361724853,
                "p99": 0.020539392471313478,
                "stdev": 0.0003906358585727253,
                "stdev_": 2.042841123032656
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}