{
    "config": {
        "name": "cuda_inference_transformers_text-generation_openai-community/gpt2",
        "backend": {
            "name": "pytorch",
            "version": "2.5.1+cu124",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "gpt2",
            "model": "openai-community/gpt2",
            "processor": "openai-community/gpt2",
            "device": "cuda",
            "device_ids": "0",
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "device_map": null,
            "torch_dtype": null,
            "eval_mode": true,
            "to_bettertransformer": false,
            "low_cpu_mem_usage": null,
            "attn_implementation": null,
            "cache_implementation": null,
            "autocast_enabled": false,
            "autocast_dtype": null,
            "torch_compile": false,
            "torch_compile_target": "forward",
            "torch_compile_config": {},
            "quantization_scheme": null,
            "quantization_config": {},
            "deepspeed_inference": false,
            "deepspeed_inference_config": {},
            "peft_type": null,
            "peft_config": {}
        },
        "scenario": {
            "name": "inference",
            "_target_": "optimum_benchmark.scenarios.inference.scenario.InferenceScenario",
            "iterations": 1,
            "duration": 1,
            "warmup_runs": 1,
            "input_shapes": {
                "batch_size": 2,
                "sequence_length": 16,
                "num_choices": 2
            },
            "new_tokens": null,
            "memory": true,
            "latency": true,
            "energy": true,
            "forward_kwargs": {},
            "generate_kwargs": {
                "max_new_tokens": 2,
                "min_new_tokens": 2
            },
            "call_kwargs": {
                "num_inference_steps": 2
            }
        },
        "launcher": {
            "name": "process",
            "_target_": "optimum_benchmark.launchers.process.launcher.ProcessLauncher",
            "device_isolation": true,
            "device_isolation_action": "error",
            "numactl": false,
            "numactl_kwargs": {},
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " AMD EPYC 7R32",
            "cpu_count": 16,
            "cpu_ram_mb": 66697.248768,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-5.10.228-219.884.amzn2.x86_64-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.10.12",
            "gpu": [
                "NVIDIA A10G"
            ],
            "gpu_count": 1,
            "gpu_vram_mb": 24146608128,
            "optimum_benchmark_version": "0.5.0.dev0",
            "optimum_benchmark_commit": null,
            "transformers_version": "4.47.0",
            "transformers_commit": null,
            "accelerate_version": "1.2.0",
            "accelerate_commit": null,
            "diffusers_version": "0.31.0",
            "diffusers_commit": null,
            "optimum_version": null,
            "optimum_commit": null,
            "timm_version": "1.0.12",
            "timm_commit": null,
            "peft_version": "0.14.0",
            "peft_commit": null
        },
        "print_report": true,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": {
                "unit": "MB",
                "max_ram": 818.499584,
                "max_global_vram": 1362.624512,
                "max_process_vram": 0.0,
                "max_reserved": 725.614592,
                "max_allocated": 666.338304
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.08799436950683594
                ],
                "count": 1,
                "total": 0.08799436950683594,
                "mean": 0.08799436950683594,
                "p50": 0.08799436950683594,
                "p90": 0.08799436950683594,
                "p95": 0.08799436950683594,
                "p99": 0.08799436950683594,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": {
                "unit": "kWh",
                "cpu": 9.709668180694431e-05,
                "ram": 5.319756343663021e-05,
                "gpu": 0.00013485677455200027,
                "total": 0.0002851510197955748
            },
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 1274.564608,
                "max_global_vram": 1379.401728,
                "max_process_vram": 0.0,
                "max_reserved": 731.906048,
                "max_allocated": 532.363264
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.008483519554138183,
                    0.008503071784973145,
                    0.008627936363220215,
                    0.008374431610107421,
                    0.008329471588134766,
                    0.007936287879943847,
                    0.008003711700439453,
                    0.008266528129577637,
                    0.008285568237304688,
                    0.008674752235412598,
                    0.008192768096923828,
                    0.008319104194641113,
                    0.008259872436523437,
                    0.008246272087097169,
                    0.008499872207641602,
                    0.008978591918945313,
                    0.008452287673950195,
                    0.0083657283782959,
                    0.008548447608947754,
                    0.008222784042358398,
                    0.008269248008728027,
                    0.007873695850372314,
                    0.007990399837493896,
                    0.008074527740478515,
                    0.008192447662353516,
                    0.008419008255004882,
                    0.008052063941955566,
                    0.007459743976593018,
                    0.007471327781677246,
                    0.007383327960968017,
                    0.0073127360343933105,
                    0.007299776077270508,
                    0.007269311904907227,
                    0.00729750394821167,
                    0.007307424068450928,
                    0.007292672157287598,
                    0.007199520111083984,
                    0.007156799793243409,
                    0.007258431911468506,
                    0.007231423854827881,
                    0.007311168193817138,
                    0.0072111358642578125,
                    0.007244768142700195,
                    0.00719974422454834,
                    0.007358560085296631,
                    0.007286784172058106,
                    0.0072687997817993165,
                    0.007264736175537109,
                    0.007342720031738281,
                    0.007267839908599853,
                    0.007330431938171387,
                    0.007246592044830322,
                    0.007305247783660889,
                    0.007301375865936279,
                    0.007247168064117432,
                    0.0072559361457824705,
                    0.007301695823669433,
                    0.007380608081817627,
                    0.007241600036621094,
                    0.007278431892395019,
                    0.007498559951782227,
                    0.007318624019622803,
                    0.007332223892211914,
                    0.0072700161933898924,
                    0.007282495975494385,
                    0.007230495929718018,
                    0.007240863800048828
                ],
                "count": 67,
                "total": 0.5162010226249696,
                "mean": 0.0077044928749995445,
                "p50": 0.007342720031738281,
                "p90": 0.00846478042602539,
                "p95": 0.008534834861755372,
                "p99": 0.008778057727813723,
                "stdev": 0.0005254854157526283,
                "stdev_": 6.820506219919885
            },
            "throughput": {
                "unit": "samples/s",
                "value": 259.5887922084837
            },
            "energy": {
                "unit": "kWh",
                "cpu": 1.0243008597459701e-07,
                "ram": 5.5582573798461056e-08,
                "gpu": 2.2049875189743762e-07,
                "total": 3.7851141167049577e-07
            },
            "efficiency": {
                "unit": "samples/kWh",
                "value": 5283856.545231596
            }
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 1274.564608,
                "max_global_vram": 1379.401728,
                "max_process_vram": 0.0,
                "max_reserved": 731.906048,
                "max_allocated": 532.363264
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.008016927719116211,
                    0.008175392150878907,
                    0.008130496025085449,
                    0.00790934419631958,
                    0.008097727775573731,
                    0.007648799896240234,
                    0.00764521598815918,
                    0.007969632148742675,
                    0.00799014377593994,
                    0.007927167892456054,
                    0.00802188777923584,
                    0.007971712112426758,
                    0.007937471866607666,
                    0.008106464385986329,
                    0.008228351593017578,
                    0.008186976432800292,
                    0.008071200370788574,
                    0.007996767997741698,
                    0.00787056016921997,
                    0.007656864166259766,
                    0.007961535930633545,
                    0.007359936237335205,
                    0.007796703815460205,
                    0.007868127822875976,
                    0.00797379207611084,
                    0.007961535930633545,
                    0.0071133761405944825,
                    0.007125631809234619,
                    0.007193120002746582,
                    0.006988639831542969,
                    0.007020383834838867,
                    0.006968544006347656,
                    0.007015456199645996,
                    0.00708028793334961,
                    0.007071455955505371,
                    0.006995296001434326,
                    0.006898719787597657,
                    0.0069231362342834476,
                    0.0069864320755004886,
                    0.006985504150390625,
                    0.006969823837280274,
                    0.006957632064819336,
                    0.006910496234893799,
                    0.006891776084899903,
                    0.006994495868682862,
                    0.006946239948272705,
                    0.007066495895385742,
                    0.006993663787841797,
                    0.007078752040863037,
                    0.00697603178024292,
                    0.0069408960342407225,
                    0.0070462398529052735,
                    0.006974016189575195,
                    0.007045728206634521,
                    0.006931359767913818,
                    0.0069625601768493655,
                    0.007012224197387696,
                    0.007048448085784912,
                    0.007082367897033691,
                    0.007210207939147949,
                    0.007036640167236328,
                    0.006976799964904785,
                    0.006945312023162842,
                    0.007284639835357666,
                    0.006986911773681641,
                    0.006950560092926025,
                    0.0069671359062194824
                ],
                "count": 67,
                "total": 0.49403417587280263,
                "mean": 0.007373644416011983,
                "p50": 0.007078752040863037,
                "p90": 0.008041612815856932,
                "p95": 0.008123286533355712,
                "p99": 0.00820104398727417,
                "stdev": 0.00047212164918376576,
                "stdev_": 6.402826371157067
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 271.236296078635
            },
            "energy": {
                "unit": "kWh",
                "cpu": 7.539005851131549e-08,
                "ram": 4.158152046579514e-08,
                "gpu": 1.5591945968464602e-07,
                "total": 2.728910386617566e-07
            },
            "efficiency": {
                "unit": "tokens/kWh",
                "value": 7328932.4919128725
            }
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.007547904014587403,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007717887878417969,
                    0.006593535900115967,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007717887878417969,
                    0.006593535900115967,
                    0.007678976058959961,
                    0.006909952163696289,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007717887878417969,
                    0.006593535900115967,
                    0.007678976058959961,
                    0.006909952163696289,
                    0.0076902399063110355,
                    0.006633471965789795,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007717887878417969,
                    0.006593535900115967,
                    0.007678976058959961,
                    0.006909952163696289,
                    0.0076902399063110355,
                    0.006633471965789795,
                    0.007616511821746826,
                    0.006592512130737305,
                    0.007547904014587403,
                    0.009014271736145019,
                    0.0076984319686889645,
                    0.009146368026733399,
                    0.007654399871826172,
                    0.008893440246582032,
                    0.007450623989105225,
                    0.008829952239990235,
                    0.007620607852935791,
                    0.008456192016601562,
                    0.007193600177764893,
                    0.008501248359680176,
                    0.007189504146575928,
                    0.008764415740966798,
                    0.007511040210723877,
                    0.008786944389343262,
                    0.007513088226318359,
                    0.009197567939758301,
                    0.007457791805267334,
                    0.008704000473022461,
                    0.007549952030181885,
                    0.008833024024963379,
                    0.007477248191833496,
                    0.00881049633026123,
                    0.007453695774078369,
                    0.008787967681884766,
                    0.007638016223907471,
                    0.009010175704956054,
                    0.00773632001876831,
                    0.00951807975769043,
                    0.007696415901184082,
                    0.008987615585327149,
                    0.007588863849639893,
                    0.00890880012512207,
                    0.007479296207427978,
                    0.009109503746032714,
                    0.007361536026000977,
                    0.008791040420532227,
                    0.007200767993927002,
                    0.008766495704650878,
                    0.007508959770202637,
                    0.008399871826171875,
                    0.006979584217071533,
                    0.008408063888549805,
                    0.007364607810974121,
                    0.008565759658813477,
                    0.007402495861053467,
                    0.008699904441833496,
                    0.007488512039184571,
                    0.008977408409118653,
                    0.007478271961212158,
                    0.008578047752380372,
                    0.00672870397567749,
                    0.00790937614440918,
                    0.006744063854217529,
                    0.007890944004058837,
                    0.006815743923187256,
                    0.007829504013061523,
                    0.0066375679969787596,
                    0.00769536018371582,
                    0.006669312000274658,
                    0.0076943359375,
                    0.006614016056060791,
                    0.007655424118041992,
                    0.0066641921997070315,
                    0.007681024074554443,
                    0.006711296081542969,
                    0.007710720062255859,
                    0.006714367866516113,
                    0.007682047843933106,
                    0.0066447358131408694,
                    0.007611392021179199,
                    0.0065413122177124024,
                    0.007544832229614258,
                    0.00657203197479248,
                    0.007640063762664795,
                    0.006632448196411133,
                    0.0076687359809875484,
                    0.006633471965789795,
                    0.0076943359375,
                    0.006620160102844238,
                    0.007591936111450195,
                    0.006605823993682861,
                    0.007643136024475097,
                    0.006552576065063476,
                    0.007588863849639893,
                    0.006541344165802002,
                    0.007741407871246338,
                    0.006642687797546387,
                    0.007712768077850342,
                    0.006591487884521485,
                    0.007654399871826172,
                    0.006713344097137451,
                    0.007649280071258545,
                    0.006639616012573242,
                    0.007747583866119385,
                    0.006721536159515381,
                    0.007656447887420655,
                    0.006620160102844238,
                    0.007718912124633789,
                    0.006582272052764892,
                    0.0076574721336364745,
                    0.0066938881874084475,
                    0.0076912641525268555,
                    0.006599679946899414,
                    0.007708672046661377,
                    0.006658048152923584,
                    0.0076687359809875484,
                    0.0065812478065490725,
                    0.007686143875122071,
                    0.006606847763061524,
                    0.007689216136932373,
                    0.006658048152923584,
                    0.007767039775848389,
                    0.006694911956787109,
                    0.0076267518997192385,
                    0.006724607944488525,
                    0.0076984319686889645,
                    0.006858751773834228,
                    0.007888895988464355,
                    0.006684671878814697,
                    0.007702527999877929,
                    0.006622208118438721,
                    0.007717887878417969,
                    0.006593535900115967,
                    0.007678976058959961,
                    0.006909952163696289,
                    0.0076902399063110355,
                    0.006633471965789795,
                    0.007616511821746826,
                    0.006592512130737305,
                    0.007642111778259277,
                    0.006612991809844971
                ],
                "count": 4489,
                "total": 34.92686654520031,
                "mean": 0.0077805450089553025,
                "p50": 0.007654399871826172,
                "p90": 0.00890880012512207,
                "p95": 0.009014271736145019,
                "p99": 0.00951807975769043,
                "stdev": 0.0008048451582543553,
                "stdev_": 10.344328801234223
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}