{
    "config": {
        "name": "cuda_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM",
        "backend": {
            "name": "pytorch",
            "version": "2.3.1+rocm5.7",
            "_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": "5",
            "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": false,
            "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": "warn",
            "numactl": false,
            "numactl_kwargs": {},
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " AMD EPYC 7763 64-Core Processor",
            "cpu_count": 128,
            "cpu_ram_mb": 1082014.490624,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-5.15.0-122-generic-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.10.12",
            "gpu": [
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]",
                "Advanced Micro Devices, Inc. [AMD/ATI]"
            ],
            "gpu_count": 8,
            "gpu_vram_mb": 549621596160,
            "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": 1082.851328,
                "max_global_vram": 68702.69952,
                "max_process_vram": 3390.406656,
                "max_reserved": 23.068672,
                "max_allocated": 4.133888
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.14168423461914062
                ],
                "count": 1,
                "total": 0.14168423461914062,
                "mean": 0.14168423461914062,
                "p50": 0.14168423461914062,
                "p90": 0.14168423461914062,
                "p95": 0.14168423461914062,
                "p99": 0.14168423461914062,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1259.626496,
                "max_global_vram": 68702.69952,
                "max_process_vram": 80239.095808,
                "max_reserved": 23.068672,
                "max_allocated": 5.715456
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.003952944993972778,
                    0.0038118250370025634,
                    0.0038039851188659667,
                    0.0038075048923492433,
                    0.0038150250911712646,
                    0.00380110502243042,
                    0.0038014249801635743,
                    0.0038230249881744385,
                    0.0038615849018096924,
                    0.0037915050983428956,
                    0.003782865047454834,
                    0.0037785449028015137,
                    0.003885425090789795,
                    0.0037939050197601317,
                    0.003927984952926636,
                    0.0037708649635314942,
                    0.003787184953689575,
                    0.0037862250804901122,
                    0.003791666030883789,
                    0.0037875049114227295,
                    0.003885265111923218,
                    0.0038023850917816163,
                    0.0042759828567504885,
                    0.003782386064529419,
                    0.0039582250118255615,
                    0.004221423149108887,
                    0.004303022861480713,
                    0.004284623146057129,
                    0.004276143074035644,
                    0.004146383762359619,
                    0.00425278377532959,
                    0.003997265100479126,
                    0.004314222812652588,
                    0.004385423183441162,
                    0.004295183181762695,
                    0.004270702838897705,
                    0.004283823013305664,
                    0.00427582311630249,
                    0.00429150390625,
                    0.004282863140106201,
                    0.004263022899627686,
                    0.004303342819213867,
                    0.004294063091278076,
                    0.004300463199615479,
                    0.0043775830268859865,
                    0.004267502784729004,
                    0.004381742954254151,
                    0.004282863140106201,
                    0.004264782905578613,
                    0.004269742965698242,
                    0.004282863140106201,
                    0.004281582832336425,
                    0.0042710227966308596,
                    0.004359823226928711,
                    0.0042870230674743656,
                    0.0042647838592529295,
                    0.004198063850402832,
                    0.004212943077087403,
                    0.004211023807525634,
                    0.004314702987670898,
                    0.004226064205169678,
                    0.004216783046722412,
                    0.004213903903961182,
                    0.004202703952789307,
                    0.004204463005065918,
                    0.004262382984161377,
                    0.0043139028549194335,
                    0.004212624073028565,
                    0.004213263988494873,
                    0.0042143831253051755,
                    0.004196622848510742,
                    0.004206223964691162,
                    0.005053579807281494,
                    0.00421614408493042,
                    0.00422270393371582,
                    0.004224943161010742,
                    0.004211022853851319,
                    0.004229104042053223,
                    0.0042025442123413085,
                    0.0042068629264831545,
                    0.004225903987884521,
                    0.004214064121246338,
                    0.0042068629264831545,
                    0.004224463939666748,
                    0.0042238240242004396,
                    0.00430590295791626,
                    0.0042099041938781735,
                    0.0042215828895568845,
                    0.004201104164123535,
                    0.004224783897399902,
                    0.004211503028869629,
                    0.004199822902679443,
                    0.004210063934326172,
                    0.004214064121246338,
                    0.0042070231437683105,
                    0.004198863029479981,
                    0.004201903820037842,
                    0.004213744163513183,
                    0.004315503120422363,
                    0.004221263885498047,
                    0.0042142229080200195,
                    0.004227663993835449,
                    0.004229262828826904,
                    0.0042099027633666995,
                    0.004217423915863037,
                    0.004216783046722412,
                    0.0042118229866027835,
                    0.004331663131713868,
                    0.004312942981719971,
                    0.004219343185424804,
                    0.004203504085540772,
                    0.004325422763824463,
                    0.004198544025421143,
                    0.004198863983154297,
                    0.004203503131866455,
                    0.004208303928375244,
                    0.0042284631729125974,
                    0.004194222927093506,
                    0.004220623970031739,
                    0.00430254316329956,
                    0.004217583179473877,
                    0.004197743892669678,
                    0.004223504066467285,
                    0.0042259030342102055,
                    0.004324142932891846,
                    0.004209262847900391,
                    0.004223983764648437,
                    0.004205264091491699,
                    0.004210702896118164,
                    0.004201903820037842,
                    0.0042201437950134275,
                    0.00419838285446167,
                    0.004209263801574707,
                    0.004218224048614502,
                    0.004240783214569091
                ],
                "count": 135,
                "total": 0.5633406760692597,
                "mean": 0.00417289389680933,
                "p50": 0.0042143831253051755,
                "p90": 0.0043048789024353025,
                "p95": 0.00432452688217163,
                "p99": 0.004384171905517578,
                "stdev": 0.00018396618370688128,
                "stdev_": 4.4085996015270155
            },
            "throughput": {
                "unit": "samples/s",
                "value": 479.2836936326696
            },
            "energy": null,
            "efficiency": null
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1259.900928,
                "max_global_vram": 68702.69952,
                "max_process_vram": 62500.921344,
                "max_reserved": 23.068672,
                "max_allocated": 5.975552
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.0029783880710601805,
                    0.002995829105377197,
                    0.002995187997817993,
                    0.0029863879680633544,
                    0.002980309009552002,
                    0.003001748085021973,
                    0.0030119879245758055,
                    0.0031483080387115477,
                    0.0030059080123901365,
                    0.0029987080097198487,
                    0.0030025489330291746,
                    0.0029966280460357667,
                    0.0029935879707336426,
                    0.0029945480823516846,
                    0.0029820680618286135,
                    0.0029860689640045165,
                    0.002996148109436035,
                    0.002982228994369507,
                    0.002987668037414551,
                    0.00300846791267395,
                    0.003015187978744507,
                    0.0031283080577850344,
                    0.0032201480865478517,
                    0.003143826961517334,
                    0.002991827964782715,
                    0.0033780670166015624,
                    0.003397907018661499,
                    0.0033923070430755616,
                    0.0033809471130371092,
                    0.0031177470684051515,
                    0.003379025936126709,
                    0.003392946004867554,
                    0.0034319870471954347,
                    0.0034097459316253663,
                    0.003468786954879761,
                    0.00340062689781189,
                    0.003388947010040283,
                    0.0033771069049835204,
                    0.003476625919342041,
                    0.0033716669082641602,
                    0.003330867052078247,
                    0.003361427068710327,
                    0.0034267070293426513,
                    0.0034179069995880127,
                    0.003425107002258301,
                    0.003405107021331787,
                    0.0034047861099243165,
                    0.0033915069103240968,
                    0.0033801469802856444,
                    0.003386867046356201,
                    0.0034043068885803223,
                    0.003396626949310303,
                    0.00338638710975647,
                    0.003496306896209717,
                    0.0033972671031951905,
                    0.003238226890563965,
                    0.003258227109909058,
                    0.0032529480457305906,
                    0.003235347032546997,
                    0.0032884669303894043,
                    0.0032926270961761476,
                    0.0032639880180358885,
                    0.0032359869480133056,
                    0.0032670269012451173,
                    0.0032383880615234374,
                    0.0032673470973968504,
                    0.00325518798828125,
                    0.003244307041168213,
                    0.0032308669090270995,
                    0.0032334280014038085,
                    0.0032414278984069823,
                    0.0032619071006774903,
                    0.0032486279010772705,
                    0.003244147062301636,
                    0.003243346929550171,
                    0.0032283079624176023,
                    0.0032593469619750974,
                    0.003237267017364502,
                    0.003250546932220459,
                    0.003242228031158447,
                    0.0032654271125793456,
                    0.003239187002182007,
                    0.0032324678897857665,
                    0.0032374269962310792,
                    0.003268786907196045,
                    0.003243666887283325,
                    0.003255347013473511,
                    0.0032375879287719726,
                    0.003259826898574829,
                    0.0032380669116973877,
                    0.0032444679737091064,
                    0.0032209479808807374,
                    0.003250226974487305,
                    0.0032313470840454103,
                    0.0032390279769897463,
                    0.003249268054962158,
                    0.0032611069679260255,
                    0.003238226890563965,
                    0.0032671871185302732,
                    0.003235347032546997,
                    0.0032567880153656008,
                    0.0032635068893432616,
                    0.0032636680603027345,
                    0.0032675070762634277,
                    0.0032334270477294923,
                    0.003252307891845703,
                    0.0033190269470214843,
                    0.0032620670795440675,
                    0.003229748010635376,
                    0.0032303869724273683,
                    0.003239346981048584,
                    0.0032665469646453857,
                    0.003252626895904541,
                    0.003265587091445923,
                    0.0032609469890594483,
                    0.003249747037887573,
                    0.0032220680713653566,
                    0.0032646279335021974,
                    0.0032569470405578614,
                    0.0033836669921875,
                    0.003253268003463745,
                    0.00324174690246582,
                    0.003257746934890747,
                    0.0032436680793762208,
                    0.003270867109298706,
                    0.003245748043060303,
                    0.0032652668952941897,
                    0.003249267101287842,
                    0.003255347967147827,
                    0.0032449469566345215,
                    0.0032673470973968504,
                    0.0032444679737091064,
                    0.003243346929550171,
                    0.003237746000289917,
                    0.0032604680061340333
                ],
                "count": 135,
                "total": 0.4375040547847749,
                "mean": 0.0032407707761835164,
                "p50": 0.003250226974487305,
                "p90": 0.0033970110416412353,
                "p95": 0.0034121942520141603,
                "p99": 0.0034739606714248657,
                "stdev": 0.00012630650576476857,
                "stdev_": 3.8974217705552454
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 617.1371374668139
            },
            "energy": null,
            "efficiency": null
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.0026441500186920167,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.004601902008056641,
                    0.0029278280735015867,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.004601902008056641,
                    0.0029278280735015867,
                    0.004585902214050293,
                    0.0029115090370178225,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.004601902008056641,
                    0.0029278280735015867,
                    0.004585902214050293,
                    0.0029115090370178225,
                    0.004589742183685303,
                    0.00290398907661438,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.004601902008056641,
                    0.0029278280735015867,
                    0.004585902214050293,
                    0.0029115090370178225,
                    0.004589742183685303,
                    0.00290398907661438,
                    0.004608781814575196,
                    0.0029012670516967774,
                    0.0026441500186920167,
                    0.004182383060455323,
                    0.0026620700359344484,
                    0.0041737442016601565,
                    0.0026553490161895753,
                    0.004183184146881103,
                    0.0026511900424957277,
                    0.004186542987823486,
                    0.002644629955291748,
                    0.004172304153442383,
                    0.0026617488861083983,
                    0.004177423954010009,
                    0.002667190074920654,
                    0.004203982830047607,
                    0.0028116691112518312,
                    0.004233903884887695,
                    0.0026647889614105223,
                    0.004170864105224609,
                    0.002659189939498901,
                    0.004161102771759033,
                    0.002654710054397583,
                    0.004164303779602051,
                    0.0026590290069580078,
                    0.004265103816986084,
                    0.002663348913192749,
                    0.00416590404510498,
                    0.0026564700603485107,
                    0.004302223205566406,
                    0.0026452701091766355,
                    0.004148622989654541,
                    0.0026494300365447997,
                    0.0041596641540527345,
                    0.0026614289283752443,
                    0.004162543773651123,
                    0.00264670991897583,
                    0.004163343906402588,
                    0.0026487889289855955,
                    0.004168784141540528,
                    0.0026715099811553955,
                    0.004258062839508057,
                    0.002675990104675293,
                    0.004184302806854248,
                    0.002664789915084839,
                    0.00478014087677002,
                    0.0028822290897369384,
                    0.004161903858184815,
                    0.002808629035949707,
                    0.004330223083496094,
                    0.0026548690795898436,
                    0.004601262092590332,
                    0.0029985489845275877,
                    0.004724620819091797,
                    0.002993428945541382,
                    0.004735820770263672,
                    0.002996148109436035,
                    0.004713421821594239,
                    0.002991188049316406,
                    0.004582542896270752,
                    0.0027380690574645996,
                    0.004673101902008057,
                    0.0030059080123901365,
                    0.004418703079223632,
                    0.0029950280189514162,
                    0.004753740787506103,
                    0.0030337491035461427,
                    0.004831981182098388,
                    0.0030300679206848144,
                    0.004718380928039551,
                    0.0030775880813598633,
                    0.004703182220458985,
                    0.0030222280025482178,
                    0.004711502075195313,
                    0.0030100679397583006,
                    0.004697261810302734,
                    0.003001748085021973,
                    0.004708621978759766,
                    0.0030236680507659914,
                    0.004784780979156494,
                    0.002984308958053589,
                    0.004694060802459717,
                    0.0029627089500427247,
                    0.004724141120910645,
                    0.0029870290756225585,
                    0.004716940879821777,
                    0.0030523080825805666,
                    0.00471710205078125,
                    0.003037748098373413,
                    0.004805100917816162,
                    0.0030385479927062986,
                    0.004703981876373291,
                    0.003004148006439209,
                    0.004826221942901611,
                    0.0030199880599975585,
                    0.004710540771484375,
                    0.003010869026184082,
                    0.004695661067962646,
                    0.003006709098815918,
                    0.0046862211227417,
                    0.003010387897491455,
                    0.004701581954956055,
                    0.00302974796295166,
                    0.0047087821960449215,
                    0.003016148090362549,
                    0.004694221973419189,
                    0.003003828048706055,
                    0.0047846207618713376,
                    0.003080467939376831,
                    0.004745421886444091,
                    0.003016308069229126,
                    0.0046975817680358885,
                    0.0028903889656066895,
                    0.0045876622200012205,
                    0.0029121479988098143,
                    0.004602382183074951,
                    0.0029094290733337404,
                    0.004598542213439942,
                    0.002898228883743286,
                    0.004695981025695801,
                    0.0029513490200042724,
                    0.004606381893157959,
                    0.002950227975845337,
                    0.004600781917572022,
                    0.0029137489795684813,
                    0.004606222152709961,
                    0.0029049489498138427,
                    0.004578221797943116,
                    0.0029118280410766603,
                    0.004600622177124023,
                    0.002905268907546997,
                    0.004639021873474121,
                    0.0029359889030456544,
                    0.004690701007843017,
                    0.0029027090072631834,
                    0.004616302013397217,
                    0.0029103889465332032,
                    0.0045924620628356935,
                    0.0028998279571533204,
                    0.0045900621414184575,
                    0.0028995089530944825,
                    0.004576302051544189,
                    0.0029087889194488524,
                    0.004584621906280517,
                    0.002919188976287842,
                    0.00544829797744751,
                    0.0029147090911865233,
                    0.004595662117004394,
                    0.002899188995361328,
                    0.0046150221824646,
                    0.0029123079776763915,
                    0.004601902008056641,
                    0.0028955090045928956,
                    0.004590382099151611,
                    0.0029247889518737792,
                    0.004614381790161133,
                    0.0029039878845214845,
                    0.004582383155822754,
                    0.002917108058929443,
                    0.004586542129516601,
                    0.0029113490581512452,
                    0.004603022098541259,
                    0.0029339079856872557,
                    0.004591823101043701,
                    0.0029041481018066404,
                    0.004589262008666992,
                    0.002898228883743286,
                    0.004603981971740723,
                    0.0029025490283966066,
                    0.0046046218872070315,
                    0.0029385480880737306,
                    0.004682062149047851,
                    0.0029099090099334716,
                    0.0045905418395996095,
                    0.00292110800743103,
                    0.00461070203781128,
                    0.0029055891036987307,
                    0.004579661846160888,
                    0.002922708988189697,
                    0.004607982158660888,
                    0.002905747890472412,
                    0.004590221881866455,
                    0.002903028964996338,
                    0.004587982177734375,
                    0.0028905489444732667,
                    0.0045867018699646,
                    0.0029183890819549562,
                    0.0045979018211364745,
                    0.00289710807800293,
                    0.0045876622200012205,
                    0.0029065489768981935,
                    0.004577901840209961,
                    0.0029183890819549562,
                    0.004579822063446045,
                    0.0029270288944244385,
                    0.00459486198425293,
                    0.002905587911605835,
                    0.004695342063903808,
                    0.002915189027786255,
                    0.004621421813964844,
                    0.002901108026504517,
                    0.00459534215927124,
                    0.0029209489822387695,
                    0.00461070203781128,
                    0.0029129490852355957,
                    0.004626861095428467,
                    0.002913589000701904,
                    0.004607021808624268,
                    0.002919668912887573,
                    0.0046121420860290524,
                    0.0029020678997039796,
                    0.0045950222015380855,
                    0.0028993489742279053,
                    0.004622861862182617,
                    0.0029099090099334716,
                    0.0047889409065246585,
                    0.0029159889221191406,
                    0.0047063808441162105,
                    0.0028964691162109376,
                    0.004600622177124023,
                    0.0028963088989257812,
                    0.004585422039031982,
                    0.0029075090885162355,
                    0.004704300880432129,
                    0.002914549112319946,
                    0.00459758186340332,
                    0.002904628038406372,
                    0.004600943088531494,
                    0.0029299080371856688,
                    0.0045887818336486814,
                    0.0029129490852355957,
                    0.004603981971740723,
                    0.002889589071273804,
                    0.004635341167449951,
                    0.002888788938522339,
                    0.004587502002716065,
                    0.0029289491176605225,
                    0.004603342056274414,
                    0.0029254279136657715,
                    0.004681742191314698,
                    0.0030502281188964846,
                    0.004599981784820557,
                    0.002917588949203491,
                    0.004580942153930664,
                    0.002908308982849121,
                    0.004604301929473877,
                    0.0029215879440307618,
                    0.004610062122344971,
                    0.0029105489253997805,
                    0.004705582141876221,
                    0.002923667907714844,
                    0.004603662014007568,
                    0.0029097490310668944,
                    0.004607821941375732,
                    0.0029313480854034424,
                    0.004586702823638916,
                    0.0029123079776763915,
                    0.004614381790161133,
                    0.0029211089611053467,
                    0.004584782123565674,
                    0.0029105489253997805,
                    0.004601902008056641,
                    0.0029278280735015867,
                    0.004585902214050293,
                    0.0029115090370178225,
                    0.004589742183685303,
                    0.00290398907661438,
                    0.004608781814575196,
                    0.0029012670516967774,
                    0.00462590217590332,
                    0.0029118289947509765
                ],
                "count": 18225,
                "total": 67.15540102553327,
                "mean": 0.0036847956666959496,
                "p50": 0.003080467939376831,
                "p90": 0.0047087181091308595,
                "p95": 0.004735820770263672,
                "p99": 0.004826221942901611,
                "stdev": 0.0008515955097063422,
                "stdev_": 23.11106467594018
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}