{
    "config": {
        "name": "cuda_inference_transformers_text-generation_openai-community/gpt2",
        "backend": {
            "name": "pytorch",
            "version": "2.5.1+cu124",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "gpt2",
            "model": "openai-community/gpt2",
            "processor": "openai-community/gpt2",
            "device": "cuda",
            "device_ids": "0",
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "device_map": null,
            "torch_dtype": null,
            "eval_mode": true,
            "to_bettertransformer": false,
            "low_cpu_mem_usage": null,
            "attn_implementation": null,
            "cache_implementation": null,
            "autocast_enabled": false,
            "autocast_dtype": null,
            "torch_compile": false,
            "torch_compile_target": "forward",
            "torch_compile_config": {},
            "quantization_scheme": null,
            "quantization_config": {},
            "deepspeed_inference": false,
            "deepspeed_inference_config": {},
            "peft_type": null,
            "peft_config": {}
        },
        "scenario": {
            "name": "inference",
            "_target_": "optimum_benchmark.scenarios.inference.scenario.InferenceScenario",
            "iterations": 1,
            "duration": 1,
            "warmup_runs": 1,
            "input_shapes": {
                "batch_size": 2,
                "sequence_length": 16,
                "num_choices": 2
            },
            "new_tokens": null,
            "memory": true,
            "latency": true,
            "energy": true,
            "forward_kwargs": {},
            "generate_kwargs": {
                "max_new_tokens": 2,
                "min_new_tokens": 2
            },
            "call_kwargs": {
                "num_inference_steps": 2
            }
        },
        "launcher": {
            "name": "process",
            "_target_": "optimum_benchmark.launchers.process.launcher.ProcessLauncher",
            "device_isolation": true,
            "device_isolation_action": "error",
            "numactl": false,
            "numactl_kwargs": {},
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " AMD EPYC 7R32",
            "cpu_count": 16,
            "cpu_ram_mb": 66697.248768,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-5.10.228-219.884.amzn2.x86_64-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.10.12",
            "gpu": [
                "NVIDIA A10G"
            ],
            "gpu_count": 1,
            "gpu_vram_mb": 24146608128,
            "optimum_benchmark_version": "0.5.0.dev0",
            "optimum_benchmark_commit": null,
            "transformers_version": "4.47.0",
            "transformers_commit": null,
            "accelerate_version": "1.2.0",
            "accelerate_commit": null,
            "diffusers_version": "0.31.0",
            "diffusers_commit": null,
            "optimum_version": null,
            "optimum_commit": null,
            "timm_version": "1.0.12",
            "timm_commit": null,
            "peft_version": "0.14.0",
            "peft_commit": null
        },
        "print_report": true,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": {
                "unit": "MB",
                "max_ram": 818.76992,
                "max_global_vram": 1362.624512,
                "max_process_vram": 0.0,
                "max_reserved": 725.614592,
                "max_allocated": 666.338304
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.08659865570068359
                ],
                "count": 1,
                "total": 0.08659865570068359,
                "mean": 0.08659865570068359,
                "p50": 0.08659865570068359,
                "p90": 0.08659865570068359,
                "p95": 0.08659865570068359,
                "p99": 0.08659865570068359,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": {
                "unit": "kWh",
                "cpu": 9.69095262215286e-05,
                "ram": 5.309134869563891e-05,
                "gpu": 0.0001293976035179993,
                "total": 0.00027939847843516685
            },
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1274.064896,
                "max_global_vram": 1379.401728,
                "max_process_vram": 0.0,
                "max_reserved": 731.906048,
                "max_allocated": 532.363264
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.0076698241233825685,
                    0.007616640090942383,
                    0.007371679782867431,
                    0.007355231761932373,
                    0.007460896015167236,
                    0.00740831995010376,
                    0.0076612157821655275,
                    0.007423391819000244,
                    0.0074235520362854,
                    0.00744595193862915,
                    0.007446591854095459,
                    0.0074490242004394535,
                    0.007407616138458252,
                    0.0074297599792480466,
                    0.0074193282127380375,
                    0.007356383800506592,
                    0.007410912036895752,
                    0.007409503936767578,
                    0.007829887866973877,
                    0.007409152030944824,
                    0.007414207935333252,
                    0.007401631832122803,
                    0.00738972806930542,
                    0.007388063907623291,
                    0.007380959987640381,
                    0.007417888164520264,
                    0.007364640235900879,
                    0.007379007816314697,
                    0.007319551944732666,
                    0.00781331205368042,
                    0.007883423805236817,
                    0.00775600004196167,
                    0.007750144004821777,
                    0.007852511882781982,
                    0.007638847827911377,
                    0.007638688087463379,
                    0.007631360054016113,
                    0.0076754879951477055,
                    0.007395872116088867,
                    0.007409984111785888,
                    0.007351200103759766,
                    0.007290976047515869,
                    0.007386720180511475,
                    0.007419199943542481,
                    0.007266047954559326,
                    0.007249216079711914,
                    0.00731056022644043,
                    0.007317984104156494,
                    0.0073194561004638675,
                    0.0072988801002502445,
                    0.00732531213760376,
                    0.007332992076873779,
                    0.0073714561462402345,
                    0.007355967998504639,
                    0.0072403521537780765,
                    0.00728275203704834,
                    0.007348800182342529,
                    0.007323616027832032,
                    0.00732147216796875,
                    0.007315072059631347,
                    0.0073302721977233885,
                    0.007354368209838867,
                    0.007323935985565185,
                    0.007326591968536377,
                    0.007332159996032715,
                    0.007322624206542969,
                    0.007391007900238037,
                    0.007319104194641113,
                    0.007288640022277832
                ],
                "count": 69,
                "total": 0.5127229137420652,
                "mean": 0.007430766865827036,
                "p50": 0.007388063907623291,
                "p90": 0.0076709568977355955,
                "p95": 0.00779038724899292,
                "p99": 0.00786240369796753,
                "stdev": 0.0001544220310113753,
                "stdev_": 2.0781439358774487
            },
            "throughput": {
                "unit": "samples/s",
                "value": 269.1512243773513
            },
            "energy": {
                "unit": "kWh",
                "cpu": 9.519662266665389e-08,
                "ram": 5.201642228542516e-08,
                "gpu": 2.0414460775999844e-07,
                "total": 3.5135765271207757e-07
            },
            "efficiency": {
                "unit": "samples/kWh",
                "value": 5692205.604637601
            }
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1274.064896,
                "max_global_vram": 1379.401728,
                "max_process_vram": 0.0,
                "max_reserved": 731.906048,
                "max_allocated": 532.363264
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.007323455810546875,
                    0.007126463890075684,
                    0.007025279998779297,
                    0.0071519680023193356,
                    0.007212607860565185,
                    0.0071262078285217285,
                    0.00726310396194458,
                    0.007182784080505371,
                    0.007136415958404541,
                    0.007151391983032227,
                    0.007273536205291748,
                    0.007159391880035401,
                    0.0071634559631347655,
                    0.007170400142669678,
                    0.00713699197769165,
                    0.00714572811126709,
                    0.0071552319526672365,
                    0.007123295783996582,
                    0.007165440082550049,
                    0.007153632164001465,
                    0.007127327919006348,
                    0.007052703857421875,
                    0.0072687997817993165,
                    0.007116064071655274,
                    0.007205120086669922,
                    0.007147264003753662,
                    0.00713811206817627,
                    0.007173567771911621,
                    0.007410783767700196,
                    0.007275968074798584,
                    0.007433760166168213,
                    0.007397984027862549,
                    0.007524511814117432,
                    0.007441152095794678,
                    0.007414463996887207,
                    0.00737011194229126,
                    0.007414080142974853,
                    0.007181920051574707,
                    0.007124063968658448,
                    0.007084703922271728,
                    0.0070967040061950684,
                    0.007085855960845947,
                    0.007163136005401611,
                    0.007068960189819336,
                    0.0070793919563293456,
                    0.007033664226531983,
                    0.007147424221038819,
                    0.007101791858673096,
                    0.007087552070617676,
                    0.007098527908325195,
                    0.007123456001281738,
                    0.007069791793823242,
                    0.007071904182434082,
                    0.007098591804504394,
                    0.00701039981842041,
                    0.00709657621383667,
                    0.007113728046417236,
                    0.007071392059326172,
                    0.007185823917388916,
                    0.007074111938476562,
                    0.007112703800201416,
                    0.007085984230041504,
                    0.007094240188598633,
                    0.00712713623046875,
                    0.007079904079437256,
                    0.007078783988952637,
                    0.007064671993255616,
                    0.00705241584777832,
                    0.0070897917747497555
                ],
                "count": 69,
                "total": 0.494313663482666,
                "mean": 0.0071639661374299415,
                "p50": 0.007127327919006348,
                "p90": 0.007375686359405518,
                "p95": 0.0074143104553222655,
                "p99": 0.007467827205657958,
                "stdev": 0.00011266132991546989,
                "stdev_": 1.5726111451985019
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 279.1749656032707
            },
            "energy": {
                "unit": "kWh",
                "cpu": 7.931369035418928e-08,
                "ram": 4.333936624658478e-08,
                "gpu": 1.6210160026944045e-07,
                "total": 2.847546568702143e-07
            },
            "efficiency": {
                "unit": "tokens/kWh",
                "value": 7023590.138901791
            }
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.00694271993637085,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.007721983909606934,
                    0.0067133760452270505,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.007721983909606934,
                    0.0067133760452270505,
                    0.0077209281921386715,
                    0.006717440128326416,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.007721983909606934,
                    0.0067133760452270505,
                    0.0077209281921386715,
                    0.006717440128326416,
                    0.007795711994171142,
                    0.006706175804138184,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.007721983909606934,
                    0.0067133760452270505,
                    0.0077209281921386715,
                    0.006717440128326416,
                    0.007795711994171142,
                    0.006706175804138184,
                    0.007729152202606201,
                    0.006694911956787109,
                    0.00694271993637085,
                    0.008034303665161132,
                    0.0067717118263244626,
                    0.007758848190307617,
                    0.0066744318008422855,
                    0.00773632001876831,
                    0.006792191982269287,
                    0.00785100793838501,
                    0.006850560188293457,
                    0.00780083179473877,
                    0.006763519763946534,
                    0.008054783821105957,
                    0.006904831886291504,
                    0.007812096118927002,
                    0.0068249602317810056,
                    0.007813119888305664,
                    0.006771743774414063,
                    0.00784278392791748,
                    0.006792191982269287,
                    0.007836671829223632,
                    0.006914048194885254,
                    0.007839744091033935,
                    0.006796288013458252,
                    0.007813119888305664,
                    0.0068055038452148435,
                    0.007830527782440186,
                    0.006811679840087891,
                    0.007807968139648437,
                    0.006783999919891357,
                    0.007751679897308349,
                    0.0067870721817016606,
                    0.007799808025360107,
                    0.006796288013458252,
                    0.007811071872711181,
                    0.006765567779541016,
                    0.008217599868774414,
                    0.006804480075836182,
                    0.007817215919494629,
                    0.006795263767242431,
                    0.007803904056549072,
                    0.006766623973846435,
                    0.0078089919090271,
                    0.006694911956787109,
                    0.007778304100036621,
                    0.006897664070129395,
                    0.007798783779144287,
                    0.006749184131622315,
                    0.007781375885009765,
                    0.006842368125915528,
                    0.007828479766845703,
                    0.006790143966674805,
                    0.007751679897308349,
                    0.006752255916595459,
                    0.007795711994171142,
                    0.006813695907592773,
                    0.007709695816040039,
                    0.006915167808532715,
                    0.008386528015136719,
                    0.006885312080383301,
                    0.008324224472045899,
                    0.007038847923278808,
                    0.00821350383758545,
                    0.007019519805908203,
                    0.008165375709533691,
                    0.007131135940551757,
                    0.008286208152770995,
                    0.007074816226959229,
                    0.008038399696350097,
                    0.007042079925537109,
                    0.0080414400100708,
                    0.006990848064422607,
                    0.008075263977050781,
                    0.007048192024230957,
                    0.008073216438293456,
                    0.006819839954376221,
                    0.007788544178009033,
                    0.006767615795135498,
                    0.007839744091033935,
                    0.0067276802062988285,
                    0.007739391803741455,
                    0.006739967823028564,
                    0.007677951812744141,
                    0.006719488143920899,
                    0.007795711994171142,
                    0.006804480075836182,
                    0.007809023857116699,
                    0.006699007987976074,
                    0.007666687965393066,
                    0.006724607944488525,
                    0.007671999931335449,
                    0.006681407928466797,
                    0.007693312168121338,
                    0.006789120197296142,
                    0.007708672046661377,
                    0.006743040084838867,
                    0.0077281279563903805,
                    0.006709248065948486,
                    0.007708672046661377,
                    0.0067420158386230465,
                    0.007712768077850342,
                    0.006766592025756836,
                    0.007734272003173828,
                    0.006713344097137451,
                    0.007759871959686279,
                    0.006716415882110595,
                    0.007744575977325439,
                    0.006740928173065186,
                    0.0076308479309082035,
                    0.006659071922302246,
                    0.007702527999877929,
                    0.006740992069244385,
                    0.00773632001876831,
                    0.006754303932189941,
                    0.007715839862823487,
                    0.006713344097137451,
                    0.007711743831634522,
                    0.0068280320167541505,
                    0.0077281279563903805,
                    0.006707200050354004,
                    0.007729152202606201,
                    0.006756351947784424,
                    0.007742464065551758,
                    0.006708223819732666,
                    0.007733248233795166,
                    0.006738944053649902,
                    0.007779327869415284,
                    0.00676966381072998,
                    0.007721983909606934,
                    0.0067133760452270505,
                    0.0077209281921386715,
                    0.006717440128326416,
                    0.007795711994171142,
                    0.006706175804138184,
                    0.007729152202606201,
                    0.006694911956787109,
                    0.0076902399063110355,
                    0.0067338237762451176
                ],
                "count": 4761,
                "total": 34.91221205282224,
                "mean": 0.007332957793073328,
                "p50": 0.007131135940551757,
                "p90": 0.008034303665161132,
                "p95": 0.008165375709533691,
                "p99": 0.008324224472045899,
                "stdev": 0.0005396105388319727,
                "stdev_": 7.358702368936118
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}