{
    "config": {
        "name": "cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM",
        "backend": {
            "name": "pytorch",
            "version": "2.5.1+cu124",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "llama",
            "model": "hf-internal-testing/tiny-random-LlamaForCausalLM",
            "processor": "hf-internal-testing/tiny-random-LlamaForCausalLM",
            "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": 898.924544,
                "max_global_vram": 660.078592,
                "max_process_vram": 0.0,
                "max_reserved": 23.068672,
                "max_allocated": 4.133888
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.10728550720214844
                ],
                "count": 1,
                "total": 0.10728550720214844,
                "mean": 0.10728550720214844,
                "p50": 0.10728550720214844,
                "p90": 0.10728550720214844,
                "p95": 0.10728550720214844,
                "p99": 0.10728550720214844,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": {
                "unit": "kWh",
                "cpu": 9.637952380902787e-05,
                "ram": 5.280411886368912e-05,
                "gpu": 0.0001252956557919998,
                "total": 0.0002744792984647168
            },
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1335.533568,
                "max_global_vram": 670.564352,
                "max_process_vram": 0.0,
                "max_reserved": 23.068672,
                "max_allocated": 14.235136
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.00439628791809082,
                    0.004040319919586182,
                    0.004063231945037842,
                    0.004069791793823242,
                    0.00413427209854126,
                    0.004007775783538819,
                    0.004114463806152344,
                    0.004251327991485596,
                    0.00438262414932251,
                    0.004352575778961182,
                    0.004375552177429199,
                    0.0043309760093688966,
                    0.004305727958679199,
                    0.004803711891174316,
                    0.004671040058135986,
                    0.004384768009185791,
                    0.004282048225402832,
                    0.004392608165740967,
                    0.004080031871795654,
                    0.004179776191711426,
                    0.0042599039077758786,
                    0.0041662402153015135,
                    0.003931776046752929,
                    0.004266464233398438,
                    0.004586207866668701,
                    0.004980959892272949,
                    0.004109632015228271,
                    0.003960927963256836,
                    0.004209536075592041,
                    0.004061312198638916,
                    0.00402396821975708,
                    0.003971999883651734,
                    0.0040085439682006835,
                    0.004017151832580566,
                    0.00399622392654419,
                    0.0041931519508361815,
                    0.004387008190155029,
                    0.004250239849090576,
                    0.004629471778869629,
                    0.004118239879608155,
                    0.004162687778472901,
                    0.004195839881896973,
                    0.003911871910095215,
                    0.004353407859802246,
                    0.003963840007781982,
                    0.003877023935317993,
                    0.0039059839248657227,
                    0.0037360639572143555,
                    0.003994751930236817,
                    0.003985503911972046,
                    0.0037318079471588134,
                    0.004013663768768311,
                    0.0038566720485687257,
                    0.0039004480838775637,
                    0.0038357760906219483,
                    0.004013055801391601,
                    0.003988863945007325,
                    0.004068064212799072,
                    0.004173855781555175,
                    0.00421401596069336,
                    0.003909503936767578,
                    0.0038804800510406495,
                    0.0038707840442657473,
                    0.003884255886077881,
                    0.003953151941299439,
                    0.003927520036697388,
                    0.003845792055130005,
                    0.0037802560329437255,
                    0.003804863929748535,
                    0.003780927896499634,
                    0.0037770559787750242,
                    0.003762943983078003,
                    0.003775327920913696,
                    0.0037580480575561525,
                    0.0037477118968963622,
                    0.0036036159992218018,
                    0.003683583974838257,
                    0.0038370881080627443,
                    0.003752608060836792,
                    0.0037713279724121093,
                    0.003745728015899658,
                    0.0037413120269775392,
                    0.003768064022064209,
                    0.0037577919960021973,
                    0.0037588160037994385,
                    0.003759455919265747,
                    0.0037510080337524415,
                    0.003745151996612549,
                    0.0038091518878936768,
                    0.0037442560195922853,
                    0.003858112096786499,
                    0.003762847900390625,
                    0.0037979519367218016,
                    0.004088863849639892,
                    0.004093696117401123,
                    0.0037990078926086425,
                    0.0037657599449157715,
                    0.003859328031539917,
                    0.003954783916473388,
                    0.003797215938568115,
                    0.003772128105163574,
                    0.0037708799839019777,
                    0.003619584083557129,
                    0.003674880027770996,
                    0.0035995841026306152,
                    0.003604192018508911,
                    0.003768287897109985,
                    0.003784575939178467,
                    0.0037886080741882325,
                    0.003796544075012207,
                    0.0036852478981018065,
                    0.003673151969909668,
                    0.0035775680541992186,
                    0.0035637760162353514,
                    0.003606656074523926,
                    0.0036551361083984376,
                    0.003680511951446533,
                    0.003609119892120361,
                    0.0036035199165344238,
                    0.0036078400611877443,
                    0.0036369600296020507,
                    0.0035907840728759766,
                    0.0036062400341033934,
                    0.0035967040061950684,
                    0.0035810561180114747,
                    0.0036047039031982422,
                    0.0035962240695953367,
                    0.0035798399448394775,
                    0.00360483193397522,
                    0.0036599040031433105,
                    0.0036282880306243897,
                    0.0035932800769805907,
                    0.003579103946685791,
                    0.0035857279300689697,
                    0.0038919360637664794,
                    0.003796000003814697,
                    0.003747936010360718,
                    0.004033728122711182
                ],
                "count": 138,
                "total": 0.5414512622356417,
                "mean": 0.003923559871272765,
                "p50": 0.0038573920726776125,
                "p90": 0.0043133023738861085,
                "p95": 0.00438784818649292,
                "p99": 0.004754623312950133,
                "stdev": 0.00027802787438837304,
                "stdev_": 7.086112701478505
            },
            "throughput": {
                "unit": "samples/s",
                "value": 509.7411701662703
            },
            "energy": {
                "unit": "kWh",
                "cpu": 5.110422336266866e-08,
                "ram": 2.7917921440330286e-08,
                "gpu": 6.978453858620623e-08,
                "total": 1.4880668338920516e-07
            },
            "efficiency": {
                "unit": "samples/kWh",
                "value": 13440256.542570625
            }
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1335.533568,
                "max_global_vram": 670.564352,
                "max_process_vram": 0.0,
                "max_reserved": 23.068672,
                "max_allocated": 14.495232
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.0033851521015167236,
                    0.003339679956436157,
                    0.003279871940612793,
                    0.003302880048751831,
                    0.0033509759902954103,
                    0.0033206079006195066,
                    0.003538847923278809,
                    0.0037110400199890136,
                    0.004097727775573731,
                    0.003725055932998657,
                    0.0036307199001312258,
                    0.0034442241191864013,
                    0.0032926080226898195,
                    0.004124671936035156,
                    0.003765887975692749,
                    0.0034984641075134276,
                    0.0036362240314483643,
                    0.0034734721183776857,
                    0.0033420159816741945,
                    0.003499552011489868,
                    0.0035259521007537844,
                    0.003418431997299194,
                    0.0033233280181884767,
                    0.004099423885345459,
                    0.003749151945114136,
                    0.0034382719993591307,
                    0.003382080078125,
                    0.003300096035003662,
                    0.0033564159870147704,
                    0.0033281280994415284,
                    0.003226016044616699,
                    0.003255808115005493,
                    0.0032900800704956054,
                    0.003317503929138184,
                    0.0033097600936889647,
                    0.0036541759967803956,
                    0.0037158079147338865,
                    0.003832639932632446,
                    0.0038442559242248533,
                    0.003394815921783447,
                    0.0034808320999145507,
                    0.0033832321166992188,
                    0.00323305606842041,
                    0.003242208003997803,
                    0.003203263998031616,
                    0.0032866880893707277,
                    0.0031107521057128907,
                    0.0031344640254974366,
                    0.003254784107208252,
                    0.0031681599617004396,
                    0.003057152032852173,
                    0.003233247995376587,
                    0.0032994558811187745,
                    0.003187999963760376,
                    0.003245055913925171,
                    0.003343967914581299,
                    0.0033803839683532715,
                    0.0035495679378509523,
                    0.0035862081050872805,
                    0.003307424068450928,
                    0.0031997120380401613,
                    0.003241247892379761,
                    0.0032458560466766357,
                    0.0032942399978637695,
                    0.003303904056549072,
                    0.003232127904891968,
                    0.0032074880599975587,
                    0.0032184319496154786,
                    0.003212608098983765,
                    0.003136064052581787,
                    0.0032221438884735107,
                    0.0032077760696411135,
                    0.0032183680534362794,
                    0.003159872055053711,
                    0.003191296100616455,
                    0.003040096044540405,
                    0.003184351921081543,
                    0.0031730239391326905,
                    0.0035748798847198486,
                    0.0031996159553527833,
                    0.003172607898712158,
                    0.0031715519428253173,
                    0.003175168037414551,
                    0.0031963839530944824,
                    0.003189120054244995,
                    0.0031572160720825197,
                    0.003166815996170044,
                    0.003279423952102661,
                    0.0031895360946655273,
                    0.0033398399353027344,
                    0.003200511932373047,
                    0.003272831916809082,
                    0.0035301439762115477,
                    0.003494688034057617,
                    0.003232991933822632,
                    0.0031659839153289795,
                    0.0032152960300445557,
                    0.0032166399955749513,
                    0.0032358078956604003,
                    0.0031600639820098878,
                    0.0032212159633636475,
                    0.0031657919883728027,
                    0.003039680004119873,
                    0.0030127038955688476,
                    0.0030197439193725586,
                    0.0030345919132232667,
                    0.003178272008895874,
                    0.0032070720195770262,
                    0.0032183361053466798,
                    0.0032597761154174805,
                    0.0031002240180969236,
                    0.003103935956954956,
                    0.0030207359790802002,
                    0.0030086400508880615,
                    0.003024832010269165,
                    0.0030478079319000246,
                    0.003018304109573364,
                    0.003026400089263916,
                    0.0030361599922180175,
                    0.0030107200145721436,
                    0.003044384002685547,
                    0.003031872034072876,
                    0.0030043520927429197,
                    0.0030305919647216797,
                    0.0030325119495391846,
                    0.0030099520683288575,
                    0.0030237441062927247,
                    0.0030425920486450196,
                    0.0030193281173706054,
                    0.003046623945236206,
                    0.0030372159481048583,
                    0.0030251200199127195,
                    0.0030425920486450196,
                    0.003095583915710449,
                    0.003221695899963379,
                    0.003169663906097412,
                    0.0032568960189819337,
                    0.003330496072769165
                ],
                "count": 138,
                "total": 0.4526556160449982,
                "mean": 0.0032801131597463636,
                "p50": 0.0032290719747543337,
                "p90": 0.003578278350830078,
                "p95": 0.003728670334815979,
                "p99": 0.004098796324729919,
                "stdev": 0.0002269343823385822,
                "stdev_": 6.918492481403598
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 609.735061748495
            },
            "energy": {
                "unit": "kWh",
                "cpu": 2.798217418825688e-08,
                "ram": 1.5299852390414258e-08,
                "gpu": 3.960999337379521e-08,
                "total": 8.289201995246636e-08
            },
            "efficiency": {
                "unit": "tokens/kWh",
                "value": 24127774.919067975
            }
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.003008512020111084,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003957760095596313,
                    0.002756608009338379,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003957760095596313,
                    0.002756608009338379,
                    0.004275199890136719,
                    0.002883584022521973,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003957760095596313,
                    0.002756608009338379,
                    0.004275199890136719,
                    0.002883584022521973,
                    0.004172863960266113,
                    0.002832319974899292,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003957760095596313,
                    0.002756608009338379,
                    0.004275199890136719,
                    0.002883584022521973,
                    0.004172863960266113,
                    0.002832319974899292,
                    0.00414412784576416,
                    0.0028538880348205568,
                    0.003008512020111084,
                    0.004456448078155518,
                    0.00296345591545105,
                    0.004477952003479004,
                    0.0028815360069274903,
                    0.00451584005355835,
                    0.0029224960803985595,
                    0.004554751873016357,
                    0.0029808640480041503,
                    0.004418560028076172,
                    0.0029409279823303224,
                    0.004534272193908692,
                    0.0031303679943084717,
                    0.004701183795928955,
                    0.0032880640029907225,
                    0.004847616195678711,
                    0.0036424639225006105,
                    0.004851615905761718,
                    0.003279871940612793,
                    0.00486297607421875,
                    0.0031989760398864744,
                    0.00480460786819458,
                    0.0030453760623931885,
                    0.004746240139007568,
                    0.0029214720726013182,
                    0.005220352172851562,
                    0.0035327999591827394,
                    0.005306367874145508,
                    0.0033464319705963134,
                    0.0048527359962463375,
                    0.003106816053390503,
                    0.00471449613571167,
                    0.0032296960353851317,
                    0.004863999843597412,
                    0.0031037440299987794,
                    0.004490240097045899,
                    0.0029777920246124266,
                    0.0046039681434631346,
                    0.0030862720012664797,
                    0.00471449613571167,
                    0.0031293439865112305,
                    0.004627456188201904,
                    0.0030494720935821534,
                    0.00434278392791748,
                    0.0029562880992889404,
                    0.004690944194793701,
                    0.0036618239879608154,
                    0.005067776203155518,
                    0.0033464319705963134,
                    0.005446656227111817,
                    0.0030494720935821534,
                    0.00454041576385498,
                    0.0030105600357055663,
                    0.004379648208618164,
                    0.0029317119121551514,
                    0.004618239879608154,
                    0.0029818880558013915,
                    0.004525055885314941,
                    0.002958336114883423,
                    0.004433919906616211,
                    0.0028651518821716307,
                    0.0044308481216430665,
                    0.002890752077102661,
                    0.004413440227508545,
                    0.0029061119556427002,
                    0.0044421119689941405,
                    0.002950144052505493,
                    0.004404223918914795,
                    0.0029409279823303224,
                    0.004602880001068115,
                    0.0032389121055603027,
                    0.004873216152191162,
                    0.003291136026382446,
                    0.004717567920684815,
                    0.003387392044067383,
                    0.005117951869964599,
                    0.003422208070755005,
                    0.0046295042037963864,
                    0.003012608051300049,
                    0.004586495876312256,
                    0.003082240104675293,
                    0.0046356477737426755,
                    0.003023871898651123,
                    0.004331520080566406,
                    0.002807807922363281,
                    0.004819968223571777,
                    0.0028856320381164553,
                    0.004360191822052002,
                    0.002862080097198486,
                    0.00429363203048706,
                    0.00293068790435791,
                    0.004302847862243653,
                    0.0027801599502563475,
                    0.004104191780090332,
                    0.0027381761074066163,
                    0.0044421119689941405,
                    0.0029020159244537353,
                    0.0043786239624023435,
                    0.0028272640705108644,
                    0.0041113600730896,
                    0.0027340800762176514,
                    0.004420608043670654,
                    0.0028897280693054197,
                    0.004235263824462891,
                    0.002913280010223389,
                    0.004327424049377441,
                    0.0028487679958343506,
                    0.0042106881141662595,
                    0.0028928000926971434,
                    0.004426752090454102,
                    0.00298905611038208,
                    0.004383743762969971,
                    0.00301363205909729,
                    0.00447488021850586,
                    0.0031682560443878176,
                    0.004597760200500488,
                    0.003202048063278198,
                    0.0046561279296875,
                    0.0029153280258178713,
                    0.00434278392791748,
                    0.0028559360504150392,
                    0.004260863780975342,
                    0.0028856320381164553,
                    0.004263936042785644,
                    0.002900991916656494,
                    0.00431820821762085,
                    0.002942975997924805,
                    0.00434278392791748,
                    0.002890752077102661,
                    0.004379648208618164,
                    0.0028887040615081785,
                    0.004231167793273926,
                    0.002859008073806763,
                    0.004203519821166992,
                    0.002879487991333008,
                    0.004182015895843506,
                    0.002875391960144043,
                    0.004155392169952392,
                    0.0028016641139984133,
                    0.004149248123168945,
                    0.002876415967941284,
                    0.004146207809448242,
                    0.0028753600120544434,
                    0.00415231990814209,
                    0.0028815360069274903,
                    0.004139008045196534,
                    0.0028231680393218995,
                    0.004121600151062011,
                    0.0028354880809783934,
                    0.003996639966964722,
                    0.002716671943664551,
                    0.004043776035308838,
                    0.002826240062713623,
                    0.004239359855651856,
                    0.0028344318866729734,
                    0.004131840229034424,
                    0.003226624011993408,
                    0.004158463954925537,
                    0.0028600640296936033,
                    0.004123616218566895,
                    0.0028334081172943113,
                    0.004119552135467529,
                    0.0028344318866729734,
                    0.004162559986114502,
                    0.002830336093902588,
                    0.0041472001075744626,
                    0.0028569600582122805,
                    0.00413593578338623,
                    0.002849792003631592,
                    0.004136960029602051,
                    0.0028190720081329346,
                    0.004126719951629639,
                    0.0028282880783081056,
                    0.004162559986114502,
                    0.002945024013519287,
                    0.004182015895843506,
                    0.0028538880348205568,
                    0.004124671936035156,
                    0.0029777920246124266,
                    0.004264959812164307,
                    0.0028641281127929686,
                    0.004137983798980713,
                    0.002936863899230957,
                    0.0041727681159973145,
                    0.0031078400611877443,
                    0.004612095832824707,
                    0.0030801920890808107,
                    0.004581376075744629,
                    0.002840575933456421,
                    0.004231232166290283,
                    0.002831295967102051,
                    0.004146175861358643,
                    0.0028743679523468017,
                    0.004239359855651856,
                    0.0028825600147247316,
                    0.004326399803161621,
                    0.002899967908859253,
                    0.0041809921264648435,
                    0.0028241920471191407,
                    0.004146175861358643,
                    0.0028682239055633544,
                    0.00416153621673584,
                    0.002829312086105347,
                    0.004000768184661865,
                    0.0027105278968811036,
                    0.004041728019714356,
                    0.002687999963760376,
                    0.003961855888366699,
                    0.0026961920261383055,
                    0.003965951919555664,
                    0.0027105278968811036,
                    0.00413593578338623,
                    0.0028385279178619383,
                    0.004169727802276611,
                    0.002859008073806763,
                    0.004175871849060059,
                    0.002876447916030884,
                    0.004183008193969727,
                    0.0029224960803985595,
                    0.004060160160064697,
                    0.0027678720951080323,
                    0.004043776035308838,
                    0.0027740800380706785,
                    0.00394540810585022,
                    0.0027002880573272704,
                    0.003942399978637695,
                    0.0026849279403686525,
                    0.003972095966339111,
                    0.002702336072921753,
                    0.0040161280632019045,
                    0.0027248640060424803,
                    0.004045824050903321,
                    0.002694144010543823,
                    0.003970047950744629,
                    0.002702336072921753,
                    0.003970047950744629,
                    0.0027135999202728273,
                    0.003967999935150146,
                    0.002686975955963135,
                    0.0040581121444702144,
                    0.002712608098983765,
                    0.003967967987060547,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.0026808319091796875,
                    0.0039639039039611815,
                    0.002698240041732788,
                    0.0039567360877990725,
                    0.0027095038890838623,
                    0.0039710719585418705,
                    0.002687999963760376,
                    0.003955712080001831,
                    0.002687999963760376,
                    0.003953664064407348,
                    0.0027217919826507567,
                    0.004099071979522705,
                    0.002694144010543823,
                    0.004021279811859131,
                    0.0027094719409942627,
                    0.004006912231445312,
                    0.002707456111907959,
                    0.003957760095596313,
                    0.0026798079013824463,
                    0.003969023942947388,
                    0.0027054080963134766,
                    0.003957760095596313,
                    0.002756608009338379,
                    0.004275199890136719,
                    0.002883584022521973,
                    0.004172863960266113,
                    0.002832319974899292,
                    0.00414412784576416,
                    0.0028538880348205568,
                    0.004476928234100342,
                    0.0029829120635986328
                ],
                "count": 19044,
                "total": 70.91669766998125,
                "mean": 0.003723834156163774,
                "p50": 0.0036618239879608154,
                "p90": 0.00471449613571167,
                "p95": 0.0048527359962463375,
                "p99": 0.005306367874145508,
                "stdev": 0.0007826892542860131,
                "stdev_": 21.01837035332221
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}