cuda_pytorch_llama/torchao-int4wo-128.json

{
    "config": {
        "name": "cuda_pytorch_llama",
        "backend": {
            "name": "pytorch",
            "version": "2.8.0",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "model": "TinyLlama/TinyLlama-1.1B-Chat-v1.0",
            "processor": "TinyLlama/TinyLlama-1.1B-Chat-v1.0",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "llama",
            "device": "cuda",
            "device_ids": "0",
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "tp_plan": null,
            "device_map": null,
            "torch_dtype": "bfloat16",
            "eval_mode": true,
            "to_bettertransformer": false,
            "low_cpu_mem_usage": null,
            "attn_implementation": null,
            "cache_implementation": null,
            "allow_tf32": false,
            "autocast_enabled": false,
            "autocast_dtype": null,
            "torch_compile": false,
            "torch_compile_target": "forward",
            "torch_compile_config": {},
            "quantization_scheme": null,
            "quantization_config": {
                "quant_method": "torchao",
                "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-5.10.240-238.959.amzn2.x86_64-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.10.18",
            "gpu": [
                "NVIDIA A10G"
            ],
            "gpu_count": 1,
            "gpu_vram_mb": 24146608128,
            "optimum_benchmark_version": "0.7.0.dev0",
            "optimum_benchmark_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7",
            "transformers_version": "4.55.2",
            "transformers_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7",
            "accelerate_version": "1.10.0",
            "accelerate_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7",
            "diffusers_version": "0.35.0",
            "diffusers_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7",
            "optimum_version": null,
            "optimum_commit": null,
            "timm_version": "1.0.19",
            "timm_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7",
            "peft_version": "0.17.0",
            "peft_commit": "995370fefa161a95ab97b2c42f8d2023f1a1edb7"
        },
        "print_report": true,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": {
                "unit": "MB",
                "max_ram": 3297.40288,
                "max_global_vram": 2889.351168,
                "max_process_vram": 0.0,
                "max_reserved": 2296.38144,
                "max_allocated": 2202.194432
            },
            "latency": {
                "unit": "s",
                "values": [
                    27.156078125
                ],
                "count": 1,
                "total": 27.156078125,
                "mean": 27.156078125,
                "p50": 27.156078125,
                "p90": 27.156078125,
                "p95": 27.156078125,
                "p99": 27.156078125,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "first_generate": {
            "memory": {
                "unit": "MB",
                "max_ram": 3140.75136,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.387136
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.5801091918945313
                ],
                "count": 1,
                "total": 0.5801091918945313,
                "mean": 0.5801091918945313,
                "p50": 0.5801091918945313,
                "p90": 0.5801091918945313,
                "p95": 0.5801091918945313,
                "p99": 0.5801091918945313,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "generate": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.58499951171875,
                    0.590814697265625,
                    0.5760806274414062,
                    0.5847792358398437,
                    0.5766055908203125,
                    0.575694580078125,
                    0.5792491455078125,
                    0.5728323364257812,
                    0.5681104125976563,
                    0.5455112915039062,
                    0.5451845092773437,
                    0.5432728271484375,
                    0.5445007934570313,
                    0.551009033203125,
                    0.5448923950195312,
                    0.54643359375,
                    0.5474036254882813,
                    0.56456640625
                ],
                "count": 18,
                "total": 10.14194061279297,
                "mean": 0.5634411451551649,
                "p50": 0.5663384094238282,
                "p90": 0.5848453186035156,
                "p95": 0.5858717895507812,
                "p99": 0.5898261157226562,
                "stdev": 0.016631804918934477,
                "stdev_": 2.9518264794727194
            },
            "throughput": {
                "unit": "samples/s",
                "value": 55.01905614554112
            },
            "energy": null,
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 3141.943296,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.387136
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.019364448547363283,
                    0.02017744064331055,
                    0.0193720645904541,
                    0.01948316764831543,
                    0.01981257629394531,
                    0.01969875144958496,
                    0.019777023315429687,
                    0.018831327438354493,
                    0.019463743209838867,
                    0.01881088066101074,
                    0.019015296936035157,
                    0.018749727249145507,
                    0.018708736419677734,
                    0.018760927200317384,
                    0.018778303146362304,
                    0.01868511962890625,
                    0.018737567901611327,
                    0.01876793670654297
                ],
                "count": 18,
                "total": 0.3449950389862061,
                "mean": 0.019166391054789227,
                "p50": 0.018923312187194827,
                "p90": 0.019787689208984376,
                "p95": 0.019867305946350097,
                "p99": 0.020115413703918457,
                "stdev": 0.00046548551552161717,
                "stdev_": 2.42865500443446
            },
            "throughput": {
                "unit": "samples/s",
                "value": 52.174663302099525
            },
            "energy": null,
            "efficiency": null
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 3141.943296,
                "max_global_vram": 2975.3344,
                "max_process_vram": 0.0,
                "max_reserved": 2321.547264,
                "max_allocated": 2215.387136
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.565635009765625,
                    0.5706372680664062,
                    0.5567085571289062,
                    0.5652960815429687,
                    0.5567930297851562,
                    0.5559957885742187,
                    0.5594721069335937,
                    0.5540009765625,
                    0.5486466674804688,
                    0.5267003784179688,
                    0.526169189453125,
                    0.5245231323242188,
                    0.5257920532226562,
                    0.5322481079101562,
                    0.5261140747070312,
                    0.5277484741210937,
                    0.5286660766601563,
                    0.5457984619140624
                ],
                "count": 18,
                "total": 9.796945434570313,
                "mean": 0.5442747463650174,
                "p50": 0.5472225646972656,
                "p90": 0.5653977600097656,
                "p95": 0.5663853485107422,
                "p99": 0.5697868841552735,
                "stdev": 0.01624197004355011,
                "stdev_": 2.984149118073806
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 56.95652831044613
            },
            "energy": null,
            "efficiency": null
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.018956287384033203,
                    0.016928768157958983,
                    0.01765888023376465,
                    0.017434623718261717,
                    0.017518592834472657,
                    0.017458175659179686,
                    0.01745305633544922,
                    0.01719705581665039,
                    0.016921600341796874,
                    0.016903167724609376,
                    0.017043455123901367,
                    0.016942079544067384,
                    0.0170199031829834,
                    0.016934911727905275,
                    0.017150976181030272,
                    0.017512447357177736,
                    0.017723392486572266,
                    0.017475584030151366,
                    0.017323007583618166,
                    0.016908287048339844,
                    0.01701785659790039,
                    0.017324031829833983,
                    0.017534975051879884,
                    0.01724928092956543,
                    0.01702092742919922,
                    0.016987136840820313,
                    0.016929792404174804,
                    0.016883712768554687,
                    0.016890880584716796,
                    0.01695232009887695,
                    0.016934911727905275,
                    0.016882688522338866,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.018956287384033203,
                    0.016928768157958983,
                    0.01765888023376465,
                    0.017434623718261717,
                    0.017518592834472657,
                    0.017458175659179686,
                    0.01745305633544922,
                    0.01719705581665039,
                    0.016921600341796874,
                    0.016903167724609376,
                    0.017043455123901367,
                    0.016942079544067384,
                    0.0170199031829834,
                    0.016934911727905275,
                    0.017150976181030272,
                    0.017512447357177736,
                    0.017723392486572266,
                    0.017475584030151366,
                    0.017323007583618166,
                    0.016908287048339844,
                    0.01701785659790039,
                    0.017324031829833983,
                    0.017534975051879884,
                    0.01724928092956543,
                    0.01702092742919922,
                    0.016987136840820313,
                    0.016929792404174804,
                    0.016883712768554687,
                    0.016890880584716796,
                    0.01695232009887695,
                    0.016934911727905275,
                    0.016882688522338866,
                    0.018961408615112304,
                    0.016934911727905275,
                    0.016928831100463868,
                    0.016908224105834962,
                    0.016934911727905275,
                    0.016932863235473633,
                    0.016948223114013672,
                    0.016902143478393555,
                    0.01704243278503418,
                    0.017129472732543945,
                    0.016911359786987306,
                    0.016903167724609376,
                    0.01700351905822754,
                    0.016928768157958983,
                    0.01698099136352539,
                    0.016888832092285155,
                    0.016887807846069337,
                    0.01794156837463379,
                    0.017028032302856447,
                    0.016936960220336913,
                    0.01696460723876953,
                    0.016950271606445313,
                    0.016900096893310547,
                    0.01686835289001465,
                    0.016919551849365236,
                    0.016922624588012695,
                    0.016890880584716796,
                    0.016878591537475587,
                    0.016885759353637696,
                    0.016931840896606445,
                    0.016921600341796874,
                    0.016877567291259766,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.018956287384033203,
                    0.016928768157958983,
                    0.01765888023376465,
                    0.017434623718261717,
                    0.017518592834472657,
                    0.017458175659179686,
                    0.01745305633544922,
                    0.01719705581665039,
                    0.016921600341796874,
                    0.016903167724609376,
                    0.017043455123901367,
                    0.016942079544067384,
                    0.0170199031829834,
                    0.016934911727905275,
                    0.017150976181030272,
                    0.017512447357177736,
                    0.017723392486572266,
                    0.017475584030151366,
                    0.017323007583618166,
                    0.016908287048339844,
                    0.01701785659790039,
                    0.017324031829833983,
                    0.017534975051879884,
                    0.01724928092956543,
                    0.01702092742919922,
                    0.016987136840820313,
                    0.016929792404174804,
                    0.016883712768554687,
                    0.016890880584716796,
                    0.01695232009887695,
                    0.016934911727905275,
                    0.016882688522338866,
                    0.018961408615112304,
                    0.016934911727905275,
                    0.016928831100463868,
                    0.016908224105834962,
                    0.016934911727905275,
                    0.016932863235473633,
                    0.016948223114013672,
                    0.016902143478393555,
                    0.01704243278503418,
                    0.017129472732543945,
                    0.016911359786987306,
                    0.016903167724609376,
                    0.01700351905822754,
                    0.016928768157958983,
                    0.01698099136352539,
                    0.016888832092285155,
                    0.016887807846069337,
                    0.01794156837463379,
                    0.017028032302856447,
                    0.016936960220336913,
                    0.01696460723876953,
                    0.016950271606445313,
                    0.016900096893310547,
                    0.01686835289001465,
                    0.016919551849365236,
                    0.016922624588012695,
                    0.016890880584716796,
                    0.016878591537475587,
                    0.016885759353637696,
                    0.016931840896606445,
                    0.016921600341796874,
                    0.016877567291259766,
                    0.01887027168273926,
                    0.01765273666381836,
                    0.017473535537719728,
                    0.01743667221069336,
                    0.016962560653686523,
                    0.016950271606445313,
                    0.016922624588012695,
                    0.016936960220336913,
                    0.016937984466552734,
                    0.016949247360229493,
                    0.016903167724609376,
                    0.016927743911743166,
                    0.0169881591796875,
                    0.01699839973449707,
                    0.016936960220336913,
                    0.0168724479675293,
                    0.016948223114013672,
                    0.016941055297851563,
                    0.01696051216125488,
                    0.016986112594604492,
                    0.016986112594604492,
                    0.016959487915039064,
                    0.016959487915039064,
                    0.016929792404174804,
                    0.0169564151763916,
                    0.016953344345092772,
                    0.016932863235473633,
                    0.016898048400878905,
                    0.016924671173095703,
                    0.016948223114013672,
                    0.017059839248657227,
                    0.01741721534729004,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.018956287384033203,
                    0.016928768157958983,
                    0.01765888023376465,
                    0.017434623718261717,
                    0.017518592834472657,
                    0.017458175659179686,
                    0.01745305633544922,
                    0.01719705581665039,
                    0.016921600341796874,
                    0.016903167724609376,
                    0.017043455123901367,
                    0.016942079544067384,
                    0.0170199031829834,
                    0.016934911727905275,
                    0.017150976181030272,
                    0.017512447357177736,
                    0.017723392486572266,
                    0.017475584030151366,
                    0.017323007583618166,
                    0.016908287048339844,
                    0.01701785659790039,
                    0.017324031829833983,
                    0.017534975051879884,
                    0.01724928092956543,
                    0.01702092742919922,
                    0.016987136840820313,
                    0.016929792404174804,
                    0.016883712768554687,
                    0.016890880584716796,
                    0.01695232009887695,
                    0.016934911727905275,
                    0.016882688522338866,
                    0.018961408615112304,
                    0.016934911727905275,
                    0.016928831100463868,
                    0.016908224105834962,
                    0.016934911727905275,
                    0.016932863235473633,
                    0.016948223114013672,
                    0.016902143478393555,
                    0.01704243278503418,
                    0.017129472732543945,
                    0.016911359786987306,
                    0.016903167724609376,
                    0.01700351905822754,
                    0.016928768157958983,
                    0.01698099136352539,
                    0.016888832092285155,
                    0.016887807846069337,
                    0.01794156837463379,
                    0.017028032302856447,
                    0.016936960220336913,
                    0.01696460723876953,
                    0.016950271606445313,
                    0.016900096893310547,
                    0.01686835289001465,
                    0.016919551849365236,
                    0.016922624588012695,
                    0.016890880584716796,
                    0.016878591537475587,
                    0.016885759353637696,
                    0.016931840896606445,
                    0.016921600341796874,
                    0.016877567291259766,
                    0.01887027168273926,
                    0.01765273666381836,
                    0.017473535537719728,
                    0.01743667221069336,
                    0.016962560653686523,
                    0.016950271606445313,
                    0.016922624588012695,
                    0.016936960220336913,
                    0.016937984466552734,
                    0.016949247360229493,
                    0.016903167724609376,
                    0.016927743911743166,
                    0.0169881591796875,
                    0.01699839973449707,
                    0.016936960220336913,
                    0.0168724479675293,
                    0.016948223114013672,
                    0.016941055297851563,
                    0.01696051216125488,
                    0.016986112594604492,
                    0.016986112594604492,
                    0.016959487915039064,
                    0.016959487915039064,
                    0.016929792404174804,
                    0.0169564151763916,
                    0.016953344345092772,
                    0.016932863235473633,
                    0.016898048400878905,
                    0.016924671173095703,
                    0.016948223114013672,
                    0.017059839248657227,
                    0.01741721534729004,
                    0.018928640365600585,
                    0.016962560653686523,
                    0.016926719665527345,
                    0.016929792404174804,
                    0.016978944778442383,
                    0.016990207672119142,
                    0.016920576095581053,
                    0.016969728469848632,
                    0.016953344345092772,
                    0.016929792404174804,
                    0.016917503356933594,
                    0.016914432525634765,
                    0.016987136840820313,
                    0.016948223114013672,
                    0.016965631484985352,
                    0.016788480758666992,
                    0.016925695419311524,
                    0.016933887481689454,
                    0.016920576095581053,
                    0.016900096893310547,
                    0.016966655731201173,
                    0.01740287971496582,
                    0.018510847091674804,
                    0.017830911636352538,
                    0.017468448638916015,
                    0.017008607864379882,
                    0.016947200775146484,
                    0.016897024154663084,
                    0.016867328643798828,
                    0.016962560653686523,
                    0.01700249671936035,
                    0.016904191970825197,
                    0.017596416473388672,
                    0.018540544509887694,
                    0.018563072204589845,
                    0.01882009506225586,
                    0.01839411163330078,
                    0.018496543884277343,
                    0.018228191375732422,
                    0.017785856246948242,
                    0.017861631393432616,
                    0.01836953544616699,
                    0.018329599380493163,
                    0.017879039764404296,
                    0.018292736053466797,
                    0.018184192657470705,
                    0.01820159912109375,
                    0.018493440628051756,
                    0.017580032348632812,
                    0.017556480407714844,
                    0.01781350326538086,
                    0.017862655639648437,
                    0.018355199813842774,
                    0.018361343383789062,
                    0.018382848739624022,
                    0.018341888427734376,
                    0.018561023712158203,
                    0.018552831649780274,
                    0.018284543991088868,
                    0.018280448913574218,
                    0.01841049575805664,
                    0.018225151062011717,
                    0.018678783416748047,
                    0.020566015243530272,
                    0.018551807403564453,
                    0.01844121551513672,
                    0.01842483139038086,
                    0.018313215255737304,
                    0.01860095977783203,
                    0.01904947280883789,
                    0.01783193588256836,
                    0.018192384719848635,
                    0.018694143295288086,
                    0.01826918411254883,
                    0.01841766357421875,
                    0.018268159866333008,
                    0.018185216903686522,
                    0.01838387107849121,
                    0.01841868782043457,
                    0.018348031997680665,
                    0.018317312240600587,
                    0.01826304054260254,
                    0.018465791702270508,
                    0.018498559951782227,
                    0.018728960037231446,
                    0.018325504302978517,
                    0.018323455810546875,
                    0.01826918411254883,
                    0.01836953544616699,
                    0.01828659248352051,
                    0.018366464614868162,
                    0.018428928375244142,
                    0.018373632431030275,
                    0.018547712326049806,
                    0.018349056243896485,
                    0.019743743896484374,
                    0.017524736404418945,
                    0.017499135971069335,
                    0.017547264099121093,
                    0.017633279800415038,
                    0.018551807403564453,
                    0.01847500801086426,
                    0.01841049575805664,
                    0.02225663948059082,
                    0.024176639556884767,
                    0.016970752716064453,
                    0.01744895935058594,
                    0.017812480926513673,
                    0.017764352798461915,
                    0.017729536056518554,
                    0.017756160736083985,
                    0.01801318359375,
                    0.017888256072998047,
                    0.01766912078857422,
                    0.017748992919921876,
                    0.01780633544921875,
                    0.018181119918823242,
                    0.01781452751159668,
                    0.01803264045715332,
                    0.01742848014831543,
                    0.016943103790283204,
                    0.016941055297851563,
                    0.016879615783691407,
                    0.016891904830932617,
                    0.016909311294555664,
                    0.016914432525634765,
                    0.016947200775146484,
                    0.01966592025756836,
                    0.017967103958129883,
                    0.017881088256835938,
                    0.018874368667602538,
                    0.025083904266357423,
                    0.017763328552246094,
                    0.017092607498168946,
                    0.016943103790283204,
                    0.017836032867431642,
                    0.01803775978088379,
                    0.01844223976135254,
                    0.01820159912109375,
                    0.01820159912109375,
                    0.018109439849853515,
                    0.018116607666015624,
                    0.01794867134094238,
                    0.018592767715454102,
                    0.018250751495361327,
                    0.01794867134094238,
                    0.01801420783996582,
                    0.018101247787475586,
                    0.017904640197753906,
                    0.01797222328186035,
                    0.0180316162109375,
                    0.018122751235961913,
                    0.01809715270996094,
                    0.01786675262451172,
                    0.017871871948242187,
                    0.017925119400024413,
                    0.017952768325805665,
                    0.018083839416503905,
                    0.017896448135375977,
                    0.020015104293823242,
                    0.017955839157104494,
                    0.017861631393432616,
                    0.01784329605102539,
                    0.017867679595947265,
                    0.017950719833374023,
                    0.018009088516235353,
                    0.01802342414855957,
                    0.017899551391601563,
                    0.01786467170715332,
                    0.017786880493164063,
                    0.017885183334350584,
                    0.017901567459106444,
                    0.017691648483276368,
                    0.017929216384887696,
                    0.017959936141967774,
                    0.019364864349365234,
                    0.018051071166992186,
                    0.017914880752563478,
                    0.017915935516357423,
                    0.017968095779418946,
                    0.01800294494628906,
                    0.017959936141967774,
                    0.017935359954833984,
                    0.017912832260131836,
                    0.017983488082885742,
                    0.017931264877319338,
                    0.01785139274597168,
                    0.017827840805053712,
                    0.01789952087402344,
                    0.01786777687072754,
                    0.017830911636352538,
                    0.019885055541992186,
                    0.018000896453857423,
                    0.017910783767700195,
                    0.01784012794494629,
                    0.017931264877319338,
                    0.017905664443969727,
                    0.017895423889160156,
                    0.017925119400024413,
                    0.0178657283782959,
                    0.018086912155151368,
                    0.0178606071472168,
                    0.01804697608947754,
                    0.01799679946899414,
                    0.017921024322509766,
                    0.017951744079589844,
                    0.017952768325805665,
                    0.017923072814941408,
                    0.017923072814941408,
                    0.01782681655883789,
                    0.017847295761108398,
                    0.017915903091430666,
                    0.01797427177429199,
                    0.01798041534423828,
                    0.01790771293640137,
                    0.01781657600402832,
                    0.01797324752807617,
                    0.01784115219116211,
                    0.017977344512939454,
                    0.017915903091430666,
                    0.01801318359375,
                    0.017918975830078124,
                    0.018009088516235353,
                    0.019956735610961913,
                    0.017943552017211914,
                    0.017939456939697264,
                    0.01794867134094238,
                    0.01799577522277832,
                    0.01804697608947754,
                    0.017947647094726564,
                    0.01799065589904785,
                    0.017991680145263672,
                    0.017916927337646483,
                    0.017949695587158202,
                    0.017902591705322265,
                    0.01803980827331543,
                    0.01804800033569336,
                    0.01802342414855957,
                    0.01840947151184082,
                    0.01923788833618164,
                    0.018886655807495118,
                    0.018112512588500978,
                    0.01795686340332031,
                    0.017939456939697264,
                    0.01798860740661621,
                    0.017959936141967774,
                    0.017939456939697264,
                    0.017913856506347657,
                    0.017986560821533205,
                    0.017838079452514647,
                    0.0178155517578125,
                    0.017896448135375977,
                    0.017984512329101563,
                    0.017909759521484374,
                    0.017864704132080078,
                    0.01902284812927246,
                    0.017100831985473634,
                    0.017133535385131834,
                    0.017844224929809572,
                    0.018153472900390624,
                    0.017566719055175782,
                    0.01803468894958496,
                    0.017900543212890627,
                    0.017928192138671875,
                    0.017868799209594728,
                    0.01787494468688965,
                    0.017923072814941408,
                    0.018010112762451173,
                    0.018008064270019532,
                    0.01799065589904785,
                    0.017921024322509766,
                    0.01788313674926758,
                    0.01789132881164551,
                    0.01782374382019043,
                    0.017947647094726564,
                    0.017902591705322265,
                    0.017954816818237306,
                    0.017847295761108398,
                    0.017945600509643556,
                    0.017901567459106444,
                    0.017896448135375977,
                    0.01784832000732422,
                    0.01786777687072754,
                    0.017960960388183594,
                    0.01800499153137207,
                    0.01799782371520996,
                    0.017932287216186525,
                    0.019644416809082032,
                    0.017960960388183594,
                    0.017895423889160156,
                    0.017914880752563478,
                    0.017994752883911135,
                    0.017979391098022462,
                    0.018001951217651368,
                    0.017955808639526366,
                    0.018233343124389647,
                    0.018331647872924805,
                    0.018782207489013672,
                    0.018523136138916017,
                    0.0177807674407959,
                    0.017347551345825194,
                    0.017554431915283202,
                    0.01739366340637207,
                    0.017132543563842775,
                    0.016901119232177735,
                    0.016973823547363282,
                    0.016933887481689454,
                    0.016878591537475587,
                    0.016930816650390625,
                    0.016926719665527345,
                    0.016858112335205077,
                    0.017761280059814453,
                    0.020567039489746093,
                    0.019183616638183593,
                    0.0176312313079834,
                    0.01698099136352539,
                    0.016995328903198242,
                    0.016939008712768554,
                    0.01726361656188965,
                    0.018994176864624023,
                    0.01699635124206543,
                    0.016895999908447267,
                    0.016916479110717773,
                    0.016959487915039064,
                    0.01701683235168457,
                    0.017074176788330078,
                    0.01696460723876953,
                    0.016940031051635742,
                    0.016961536407470702,
                    0.016882688522338866,
                    0.016949247360229493,
                    0.01703014373779297,
                    0.01696460723876953,
                    0.016957439422607423,
                    0.016892927169799805,
                    0.016965631484985352,
                    0.01821183967590332,
                    0.016969728469848632,
                    0.016946176528930663,
                    0.016961536407470702,
                    0.01696051216125488,
                    0.016917503356933594,
                    0.016873472213745116,
                    0.016940031051635742,
                    0.016930816650390625,
                    0.016871423721313478,
                    0.016880640029907225,
                    0.016863231658935548,
                    0.016951295852661134,
                    0.01696870422363281,
                    0.016941055297851563,
                    0.019204095840454103,
                    0.01701683235168457,
                    0.016963584899902344,
                    0.016987136840820313,
                    0.01695232009887695,
                    0.016918527603149415,
                    0.016931840896606445,
                    0.016910335540771485,
                    0.016934911727905275,
                    0.016890880584716796,
                    0.016870399475097657,
                    0.016883712768554687,
                    0.016982015609741212,
                    0.016912384033203123,
                    0.016929792404174804,
                    0.016825344085693358,
                    0.016875520706176757,
                    0.016884735107421875,
                    0.016877567291259766,
                    0.016874496459960937,
                    0.01703219223022461,
                    0.0174335994720459,
                    0.017391616821289063,
                    0.016865280151367186,
                    0.016905216217041014,
                    0.01744895935058594,
                    0.017087488174438475,
                    0.01686016082763672,
                    0.016931840896606445,
                    0.016881664276123046,
                    0.016913408279418944,
                    0.016852991104125976,
                    0.018941951751708985,
                    0.016947200775146484,
                    0.016961536407470702,
                    0.016904191970825197,
                    0.01699430465698242,
                    0.016919551849365236,
                    0.016934911727905275,
                    0.016901119232177735,
                    0.016887807846069337,
                    0.016890880584716796,
                    0.016863231658935548,
                    0.016922624588012695,
                    0.016926719665527345,
                    0.016902143478393555,
                    0.016935935974121095,
                    0.016854015350341797,
                    0.016859136581420898,
                    0.016904191970825197,
                    0.01685606384277344,
                    0.016910335540771485,
                    0.01696460723876953,
                    0.016918527603149415,
                    0.016934911727905275,
                    0.016893951416015626,
                    0.016913408279418944,
                    0.016920576095581053,
                    0.016880640029907225,
                    0.01685606384277344,
                    0.016902143478393555,
                    0.016991231918334963,
                    0.01704652786254883,
                    0.016886783599853517,
                    0.01889587211608887,
                    0.016963584899902344,
                    0.016908287048339844,
                    0.016910335540771485,
                    0.016937984466552734,
                    0.016932863235473633,
                    0.016937984466552734,
                    0.01696051216125488,
                    0.016929792404174804,
                    0.016930816650390625,
                    0.016889856338500975,
                    0.016911359786987306,
                    0.016958463668823243,
                    0.016915456771850586,
                    0.016951295852661134,
                    0.016887807846069337,
                    0.016923648834228516,
                    0.016908287048339844,
                    0.016862207412719727,
                    0.016876544952392578,
                    0.016991231918334963,
                    0.016928768157958983,
                    0.016948223114013672,
                    0.016874496459960937,
                    0.016885759353637696,
                    0.017115135192871094,
                    0.01734758377075195,
                    0.01724415969848633,
                    0.017136640548706054,
                    0.016895999908447267,
                    0.016912384033203123,
                    0.016879615783691407,
                    0.018956287384033203,
                    0.016928768157958983,
                    0.01765888023376465,
                    0.017434623718261717,
                    0.017518592834472657,
                    0.017458175659179686,
                    0.01745305633544922,
                    0.01719705581665039,
                    0.016921600341796874,
                    0.016903167724609376,
                    0.017043455123901367,
                    0.016942079544067384,
                    0.0170199031829834,
                    0.016934911727905275,
                    0.017150976181030272,
                    0.017512447357177736,
                    0.017723392486572266,
                    0.017475584030151366,
                    0.017323007583618166,
                    0.016908287048339844,
                    0.01701785659790039,
                    0.017324031829833983,
                    0.017534975051879884,
                    0.01724928092956543,
                    0.01702092742919922,
                    0.016987136840820313,
                    0.016929792404174804,
                    0.016883712768554687,
                    0.016890880584716796,
                    0.01695232009887695,
                    0.016934911727905275,
                    0.016882688522338866,
                    0.018961408615112304,
                    0.016934911727905275,
                    0.016928831100463868,
                    0.016908224105834962,
                    0.016934911727905275,
                    0.016932863235473633,
                    0.016948223114013672,
                    0.016902143478393555,
                    0.01704243278503418,
                    0.017129472732543945,
                    0.016911359786987306,
                    0.016903167724609376,
                    0.01700351905822754,
                    0.016928768157958983,
                    0.01698099136352539,
                    0.016888832092285155,
                    0.016887807846069337,
                    0.01794156837463379,
                    0.017028032302856447,
                    0.016936960220336913,
                    0.01696460723876953,
                    0.016950271606445313,
                    0.016900096893310547,
                    0.01686835289001465,
                    0.016919551849365236,
                    0.016922624588012695,
                    0.016890880584716796,
                    0.016878591537475587,
                    0.016885759353637696,
                    0.016931840896606445,
                    0.016921600341796874,
                    0.016877567291259766,
                    0.01887027168273926,
                    0.01765273666381836,
                    0.017473535537719728,
                    0.01743667221069336,
                    0.016962560653686523,
                    0.016950271606445313,
                    0.016922624588012695,
                    0.016936960220336913,
                    0.016937984466552734,
                    0.016949247360229493,
                    0.016903167724609376,
                    0.016927743911743166,
                    0.0169881591796875,
                    0.01699839973449707,
                    0.016936960220336913,
                    0.0168724479675293,
                    0.016948223114013672,
                    0.016941055297851563,
                    0.01696051216125488,
                    0.016986112594604492,
                    0.016986112594604492,
                    0.016959487915039064,
                    0.016959487915039064,
                    0.016929792404174804,
                    0.0169564151763916,
                    0.016953344345092772,
                    0.016932863235473633,
                    0.016898048400878905,
                    0.016924671173095703,
                    0.016948223114013672,
                    0.017059839248657227,
                    0.01741721534729004,
                    0.018928640365600585,
                    0.016962560653686523,
                    0.016926719665527345,
                    0.016929792404174804,
                    0.016978944778442383,
                    0.016990207672119142,
                    0.016920576095581053,
                    0.016969728469848632,
                    0.016953344345092772,
                    0.016929792404174804,
                    0.016917503356933594,
                    0.016914432525634765,
                    0.016987136840820313,
                    0.016948223114013672,
                    0.016965631484985352,
                    0.016788480758666992,
                    0.016925695419311524,
                    0.016933887481689454,
                    0.016920576095581053,
                    0.016900096893310547,
                    0.016966655731201173,
                    0.01740287971496582,
                    0.018510847091674804,
                    0.017830911636352538,
                    0.017468448638916015,
                    0.017008607864379882,
                    0.016947200775146484,
                    0.016897024154663084,
                    0.016867328643798828,
                    0.016962560653686523,
                    0.01700249671936035,
                    0.016904191970825197,
                    0.018949119567871094,
                    0.0170383358001709,
                    0.017001535415649412,
                    0.01692665672302246,
                    0.017044479370117188,
                    0.01701171112060547,
                    0.01700249671936035,
                    0.01696051216125488,
                    0.01700044822692871,
                    0.016942079544067384,
                    0.017136640548706054,
                    0.016958463668823243,
                    0.017100799560546876,
                    0.018328575134277342,
                    0.018412544250488282,
                    0.018199552536010744,
                    0.018118656158447266,
                    0.017949695587158202,
                    0.017953792572021485,
                    0.017876991271972655,
                    0.017925119400024413,
                    0.017918975830078124,
                    0.0178288631439209,
                    0.01784934425354004,
                    0.017896448135375977,
                    0.017942527770996093,
                    0.01799065589904785,
                    0.01784012794494629,
                    0.017923072814941408,
                    0.01782374382019043,
                    0.01787494468688965,
                    0.017886207580566405
                ],
                "count": 5454,
                "total": 97.28197520065305,
                "mean": 0.0178368124680332,
                "p50": 0.017902591705322265,
                "p90": 0.018498559951782227,
                "p95": 0.018874368667602538,
                "p99": 0.020567039489746093,
                "stdev": 0.0008730625175152203,
                "stdev_": 4.894722748696869
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}