{
    "config": {
        "name": "openvino-8bit-woq",
        "backend": {
            "name": "openvino",
            "version": "2025.3.0",
            "_target_": "optimum_benchmark.backends.openvino.backend.OpenVINOBackend",
            "model": "HuggingFaceTB/SmolLM2-360M-Instruct",
            "processor": "HuggingFaceTB/SmolLM2-360M-Instruct",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "llama",
            "device": "cpu",
            "device_ids": null,
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "export": null,
            "use_cache": null,
            "use_merged": null,
            "torch_dtype": null,
            "load_in_8bit": true,
            "load_in_4bit": null,
            "ov_config": null,
            "quantization_config": null,
            "half": false,
            "compile": false,
            "reshape": false,
            "reshape_kwargs": {}
        },
        "scenario": {
            "name": "inference",
            "_target_": "optimum_benchmark.scenarios.inference.scenario.InferenceScenario",
            "iterations": 10,
            "duration": 10,
            "warmup_runs": 10,
            "input_shapes": {
                "batch_size": 1,
                "sequence_length": 16
            },
            "new_tokens": null,
            "memory": false,
            "latency": true,
            "energy": false,
            "forward_kwargs": {},
            "generate_kwargs": {
                "max_new_tokens": 16,
                "min_new_tokens": 16
            },
            "call_kwargs": {}
        },
        "launcher": {
            "name": "process",
            "_target_": "optimum_benchmark.launchers.process.launcher.ProcessLauncher",
            "device_isolation": false,
            "device_isolation_action": null,
            "numactl": false,
            "numactl_kwargs": {},
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz",
            "cpu_count": 32,
            "cpu_ram_mb": 265993.0112,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-6.12.35-55.103.amzn2023.x86_64-x86_64-with-glibc2.36",
            "processor": "",
            "python_version": "3.12.11",
            "optimum_benchmark_version": "0.7.0.dev0",
            "optimum_benchmark_commit": null,
            "transformers_version": "4.55.4",
            "transformers_commit": null,
            "accelerate_version": "1.10.1",
            "accelerate_commit": null,
            "diffusers_version": null,
            "diffusers_commit": null,
            "optimum_version": "1.27.0",
            "optimum_commit": null,
            "timm_version": null,
            "timm_commit": null,
            "peft_version": null,
            "peft_commit": null
        },
        "print_report": false,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    29.458225632086396
                ],
                "count": 1,
                "total": 29.458225632086396,
                "mean": 29.458225632086396,
                "p50": 29.458225632086396,
                "p90": 29.458225632086396,
                "p95": 29.458225632086396,
                "p99": 29.458225632086396,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "first_generate": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.2278000684455037
                ],
                "count": 1,
                "total": 0.2278000684455037,
                "mean": 0.2278000684455037,
                "p50": 0.2278000684455037,
                "p90": 0.2278000684455037,
                "p95": 0.2278000684455037,
                "p99": 0.2278000684455037,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "generate": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.2210339829325676,
                    0.22254444565624,
                    0.22141522821038961,
                    0.22093874961137772,
                    0.20979812648147345,
                    0.20492520928382874,
                    0.2539560906589031,
                    0.25502484291791916,
                    0.2596854576840997,
                    0.25948963314294815,
                    0.26025731582194567,
                    0.2600009851157665,
                    0.2139472933486104,
                    0.257336457259953,
                    0.25388720631599426,
                    0.25496174953877926,
                    0.25685607828199863,
                    0.2450294867157936,
                    0.24591986648738384,
                    0.24512085691094398,
                    0.2461331393569708,
                    0.24629111401736736,
                    0.24533742666244507,
                    0.24536200519651175,
                    0.24128127563744783,
                    0.2463305089622736,
                    0.25056023243814707,
                    0.24864990077912807,
                    0.24517356418073177,
                    0.24477157928049564,
                    0.25560537725687027,
                    0.25907083600759506,
                    0.25561973825097084,
                    0.25487804785370827,
                    0.25174588337540627,
                    0.24762908276170492,
                    0.24959454033523798,
                    0.2568060280755162,
                    0.24362701084464788,
                    0.21562835481017828,
                    0.20460586436092854,
                    0.20640808250755072
                ],
                "count": 42,
                "total": 10.18323865532875,
                "mean": 0.2424580632221131,
                "p50": 0.24631081148982048,
                "p90": 0.25889739813283086,
                "p95": 0.2596756664570421,
                "p99": 0.26015222023241225,
                "stdev": 0.01695250653033083,
                "stdev_": 6.991933493587643
            },
            "throughput": {
                "unit": "samples/s",
                "value": 61.86636897391475
            },
            "energy": null,
            "efficiency": null
        },
        "prefill": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.024788684211671352,
                    0.024933545850217342,
                    0.02533470280468464,
                    0.02502872422337532,
                    0.024926286190748215,
                    0.023887015879154205,
                    0.026192144490778446,
                    0.026445389725267887,
                    0.025988737121224403,
                    0.026012242771685123,
                    0.026560340076684952,
                    0.026412286795675755,
                    0.026925266720354557,
                    0.023873884230852127,
                    0.024920613504946232,
                    0.026354115456342697,
                    0.025876672938466072,
                    0.026242541149258614,
                    0.02580641210079193,
                    0.02566533163189888,
                    0.025705311447381973,
                    0.02598433569073677,
                    0.026012979447841644,
                    0.024793123826384544,
                    0.02565048448741436,
                    0.025900338776409626,
                    0.025527305901050568,
                    0.026256178505718708,
                    0.025412376038730145,
                    0.02563568763434887,
                    0.025730624794960022,
                    0.026162496767938137,
                    0.026043559424579144,
                    0.026522892527282238,
                    0.026562894694507122,
                    0.024382883682847023,
                    0.025547889061272144,
                    0.026103748939931393,
                    0.0248008631169796,
                    0.024839498102664948,
                    0.023795929737389088,
                    0.02419392764568329
                ],
                "count": 42,
                "total": 1.07374026812613,
                "mean": 0.025565244479193575,
                "p50": 0.025717968121170998,
                "p90": 0.026442079432308675,
                "p95": 0.026558467699214817,
                "p99": 0.026776694189757106,
                "stdev": 0.0007890399530148245,
                "stdev_": 3.0863774983923555
            },
            "throughput": {
                "unit": "samples/s",
                "value": 39.11560481316171
            },
            "energy": null,
            "efficiency": null
        },
        "decode": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.19624529872089624,
                    0.19761089980602264,
                    0.19608052540570498,
                    0.1959100253880024,
                    0.18487184029072523,
                    0.18103819340467453,
                    0.22776394616812468,
                    0.22857945319265127,
                    0.23369672056287527,
                    0.23347739037126303,
                    0.23369697574526072,
                    0.23358869832009077,
                    0.18702202662825584,
                    0.2334625730291009,
                    0.22896659281104803,
                    0.22860763408243656,
                    0.23097940534353256,
                    0.218786945566535,
                    0.2201134543865919,
                    0.2194555252790451,
                    0.2204278279095888,
                    0.2203067783266306,
                    0.21932444721460342,
                    0.2205688813701272,
                    0.21563079115003347,
                    0.22043017018586397,
                    0.2250329265370965,
                    0.22239372227340937,
                    0.21976118814200163,
                    0.21913589164614677,
                    0.22987475246191025,
                    0.23290833923965693,
                    0.2295761788263917,
                    0.22835515532642603,
                    0.22518298868089914,
                    0.2232461990788579,
                    0.22404665127396584,
                    0.23070227913558483,
                    0.21882614772766829,
                    0.19078885670751333,
                    0.18080993462353945,
                    0.18221415486186743
                ],
                "count": 42,
                "total": 9.10949838720262,
                "mean": 0.21689281874291955,
                "p50": 0.2204995257779956,
                "p90": 0.2334071496501565,
                "p95": 0.23358313292264937,
                "p99": 0.23369687112048268,
                "stdev": 0.016511176500267438,
                "stdev_": 7.612597132520989
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 69.15858296709823
            },
            "energy": null,
            "efficiency": null
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.026569622568786144,
                    0.021506182849407196,
                    0.015099375508725643,
                    0.01461263932287693,
                    0.015089230611920357,
                    0.013668408617377281,
                    0.015285217203199863,
                    0.014836142770946026,
                    0.015273020602762699,
                    0.014597615227103233,
                    0.014375021681189537,
                    0.015627375803887844,
                    0.015271938405930996,
                    0.014988509938120842,
                    0.015186075121164322,
                    0.015015732496976852,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.026569622568786144,
                    0.021506182849407196,
                    0.015099375508725643,
                    0.01461263932287693,
                    0.015089230611920357,
                    0.013668408617377281,
                    0.015285217203199863,
                    0.014836142770946026,
                    0.015273020602762699,
                    0.014597615227103233,
                    0.014375021681189537,
                    0.015627375803887844,
                    0.015271938405930996,
                    0.014988509938120842,
                    0.015186075121164322,
                    0.015015732496976852,
                    0.025135626085102558,
                    0.020956017076969147,
                    0.015779029577970505,
                    0.014530916698276997,
                    0.014494536444544792,
                    0.014601324684917927,
                    0.013956839218735695,
                    0.014307238161563873,
                    0.014259511604905128,
                    0.014316773042082787,
                    0.014253429137170315,
                    0.014388117007911205,
                    0.014696771278977394,
                    0.012187350541353226,
                    0.012894442304968834,
                    0.012932769022881985,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.026569622568786144,
                    0.021506182849407196,
                    0.015099375508725643,
                    0.01461263932287693,
                    0.015089230611920357,
                    0.013668408617377281,
                    0.015285217203199863,
                    0.014836142770946026,
                    0.015273020602762699,
                    0.014597615227103233,
                    0.014375021681189537,
                    0.015627375803887844,
                    0.015271938405930996,
                    0.014988509938120842,
                    0.015186075121164322,
                    0.015015732496976852,
                    0.025135626085102558,
                    0.020956017076969147,
                    0.015779029577970505,
                    0.014530916698276997,
                    0.014494536444544792,
                    0.014601324684917927,
                    0.013956839218735695,
                    0.014307238161563873,
                    0.014259511604905128,
                    0.014316773042082787,
                    0.014253429137170315,
                    0.014388117007911205,
                    0.014696771278977394,
                    0.012187350541353226,
                    0.012894442304968834,
                    0.012932769022881985,
                    0.025174984708428383,
                    0.019002611748874187,
                    0.012912323698401451,
                    0.012652705423533916,
                    0.012640714645385742,
                    0.013050784356892109,
                    0.01290920190513134,
                    0.012928689830005169,
                    0.012578804045915604,
                    0.013051050715148449,
                    0.012035205960273743,
                    0.011359290219843388,
                    0.011310375295579433,
                    0.011348025873303413,
                    0.011323481798171997,
                    0.01140940748155117,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.026569622568786144,
                    0.021506182849407196,
                    0.015099375508725643,
                    0.01461263932287693,
                    0.015089230611920357,
                    0.013668408617377281,
                    0.015285217203199863,
                    0.014836142770946026,
                    0.015273020602762699,
                    0.014597615227103233,
                    0.014375021681189537,
                    0.015627375803887844,
                    0.015271938405930996,
                    0.014988509938120842,
                    0.015186075121164322,
                    0.015015732496976852,
                    0.025135626085102558,
                    0.020956017076969147,
                    0.015779029577970505,
                    0.014530916698276997,
                    0.014494536444544792,
                    0.014601324684917927,
                    0.013956839218735695,
                    0.014307238161563873,
                    0.014259511604905128,
                    0.014316773042082787,
                    0.014253429137170315,
                    0.014388117007911205,
                    0.014696771278977394,
                    0.012187350541353226,
                    0.012894442304968834,
                    0.012932769022881985,
                    0.025174984708428383,
                    0.019002611748874187,
                    0.012912323698401451,
                    0.012652705423533916,
                    0.012640714645385742,
                    0.013050784356892109,
                    0.01290920190513134,
                    0.012928689830005169,
                    0.012578804045915604,
                    0.013051050715148449,
                    0.012035205960273743,
                    0.011359290219843388,
                    0.011310375295579433,
                    0.011348025873303413,
                    0.011323481798171997,
                    0.01140940748155117,
                    0.024271725676953793,
                    0.01744157075881958,
                    0.011320535093545914,
                    0.011524349451065063,
                    0.01145318802446127,
                    0.011515399441123009,
                    0.011551478877663612,
                    0.011612926609814167,
                    0.011650466360151768,
                    0.011729528196156025,
                    0.011823683977127075,
                    0.011809343472123146,
                    0.011683007702231407,
                    0.011849069967865944,
                    0.01167052797973156,
                    0.011903952807188034,
                    0.01858366932719946,
                    0.012662087567150593,
                    0.012479240074753761,
                    0.012903032824397087,
                    0.012761077843606472,
                    0.012994998134672642,
                    0.012744005769491196,
                    0.012569108977913857,
                    0.01281050220131874,
                    0.01279955729842186,
                    0.012743831612169743,
                    0.012015501037240028,
                    0.012584701180458069,
                    0.012618237175047398,
                    0.012698187492787838,
                    0.02523497585207224,
                    0.01877753995358944,
                    0.012703076004981995,
                    0.012904721312224865,
                    0.012520059943199158,
                    0.012895097956061363,
                    0.012905017472803593,
                    0.012807944789528847,
                    0.012773246504366398,
                    0.012980499304831028,
                    0.012723301537334919,
                    0.012605102732777596,
                    0.013010365888476372,
                    0.012735269963741302,
                    0.012673488818109035,
                    0.012325171381235123,
                    0.025631948374211788,
                    0.017834704369306564,
                    0.012463902123272419,
                    0.012650302611291409,
                    0.013048411346971989,
                    0.012905973009765148,
                    0.01277238130569458,
                    0.012500281445682049,
                    0.012794176116585732,
                    0.012666646391153336,
                    0.012661976739764214,
                    0.01207655854523182,
                    0.013219211250543594,
                    0.01292366348206997,
                    0.012695975601673126,
                    0.01259730663150549,
                    0.025319309905171394,
                    0.01906112302094698,
                    0.011957883834838867,
                    0.0125550776720047,
                    0.012317209504544735,
                    0.013067211955785751,
                    0.013117019087076187,
                    0.01263148058205843,
                    0.012642644345760345,
                    0.012718982063233852,
                    0.012571457773447037,
                    0.012554667890071869,
                    0.012659048661589622,
                    0.012488216161727905,
                    0.01248603593558073,
                    0.012808761559426785,
                    0.02523708436638117,
                    0.018362979404628277,
                    0.012825497426092625,
                    0.013000741600990295,
                    0.012176613323390484,
                    0.011607130989432335,
                    0.011709298007190228,
                    0.012276728637516499,
                    0.011837780475616455,
                    0.011577747762203217,
                    0.011709983460605145,
                    0.011433910578489304,
                    0.011347494088113308,
                    0.011246703565120697,
                    0.011697037145495415,
                    0.011790714226663113,
                    0.024196820333600044,
                    0.018151281401515007,
                    0.011563966050744057,
                    0.011351165361702442,
                    0.011228477582335472,
                    0.01125293504446745,
                    0.011670677922666073,
                    0.012482715770602226,
                    0.011988362297415733,
                    0.011490880511701107,
                    0.01154294703155756,
                    0.011643081903457642,
                    0.011596796102821827,
                    0.01176296267658472,
                    0.011523092165589333,
                    0.011502671986818314,
                    0.026516642421483994,
                    0.018321266397833824,
                    0.011737877503037453,
                    0.015238756313920021,
                    0.01513806451112032,
                    0.015070655383169651,
                    0.015243363566696644,
                    0.015166470780968666,
                    0.015215061604976654,
                    0.015085374936461449,
                    0.015364337712526321,
                    0.015101514756679535,
                    0.015216256491839886,
                    0.015160060487687588,
                    0.015289116650819778,
                    0.015094130299985409,
                    0.026808991096913815,
                    0.019837425090372562,
                    0.013750554993748665,
                    0.015519432723522186,
                    0.014061677269637585,
                    0.015241293236613274,
                    0.01472366601228714,
                    0.015240189619362354,
                    0.014766236767172813,
                    0.015188241377472878,
                    0.015014643780887127,
                    0.015290236100554466,
                    0.014473619870841503,
                    0.015304804779589176,
                    0.014653904363512993,
                    0.015202658250927925,
                    0.02634103875607252,
                    0.0212423549965024,
                    0.015237731859087944,
                    0.015453261323273182,
                    0.015087180770933628,
                    0.015171491540968418,
                    0.015219591557979584,
                    0.015221006236970425,
                    0.015085197053849697,
                    0.015189582481980324,
                    0.0152405621483922,
                    0.015114334411919117,
                    0.014937357045710087,
                    0.015020309016108513,
                    0.015084926038980484,
                    0.015077054500579834,
                    0.02636862825602293,
                    0.02145999576896429,
                    0.015026971697807312,
                    0.0152064124122262,
                    0.015135196968913078,
                    0.014894377440214157,
                    0.014960499480366707,
                    0.015003468841314316,
                    0.015128330327570438,
                    0.01531893014907837,
                    0.015078110620379448,
                    0.015012520365417004,
                    0.01514590997248888,
                    0.015239570289850235,
                    0.015280636958777905,
                    0.01526832114905119,
                    0.02692522667348385,
                    0.021147609688341618,
                    0.015275787562131882,
                    0.01527131162583828,
                    0.015265516005456448,
                    0.015304993838071823,
                    0.015235603787004948,
                    0.015206331387162209,
                    0.015004949644207954,
                    0.015297816134989262,
                    0.01518271118402481,
                    0.015375674702227116,
                    0.014841007068753242,
                    0.015248090960085392,
                    0.01464434340596199,
                    0.015078354626893997,
                    0.026771821081638336,
                    0.02133595012128353,
                    0.015063687227666378,
                    0.015141503885388374,
                    0.015117151662707329,
                    0.01501313503831625,
                    0.015112611465156078,
                    0.01531420648097992,
                    0.015181618742644787,
                    0.015181313268840313,
                    0.015057751908898354,
                    0.01498271245509386,
                    0.015233169309794903,
                    0.015249060466885567,
                    0.015003695152699947,
                    0.015278329141438007,
                    0.027286154218018055,
                    0.018932756036520004,
                    0.012723220512270927,
                    0.012679118663072586,
                    0.01249729748815298,
                    0.01286800391972065,
                    0.011825061403214931,
                    0.011360716074705124,
                    0.011436959728598595,
                    0.011647789739072323,
                    0.011696051806211472,
                    0.012614703737199306,
                    0.011935041286051273,
                    0.011572983115911484,
                    0.011491061188280582,
                    0.011470281518995762,
                    0.024187671020627022,
                    0.01833107601851225,
                    0.014226634055376053,
                    0.015320373699069023,
                    0.01455384399741888,
                    0.014169543981552124,
                    0.01445230282843113,
                    0.014962402172386646,
                    0.012387948110699654,
                    0.01725854631513357,
                    0.014079132117331028,
                    0.01971386279910803,
                    0.016653708182275295,
                    0.01556417252868414,
                    0.015802105888724327,
                    0.01564996037632227,
                    0.02530246414244175,
                    0.02152369264513254,
                    0.011899996548891068,
                    0.014821247197687626,
                    0.015073439106345177,
                    0.01480692159384489,
                    0.01567341946065426,
                    0.014662348665297031,
                    0.015124281868338585,
                    0.014992276206612587,
                    0.015172027051448822,
                    0.014779232442378998,
                    0.015151754021644592,
                    0.014920884743332863,
                    0.015252518467605114,
                    0.014875425025820732,
                    0.02664038073271513,
                    0.019243345595896244,
                    0.01383139193058014,
                    0.015049981884658337,
                    0.014795573428273201,
                    0.015429452061653137,
                    0.014698156155645847,
                    0.015332703478634357,
                    0.014861307106912136,
                    0.015181398950517178,
                    0.014770252630114555,
                    0.01516299694776535,
                    0.014585603028535843,
                    0.015213408507406712,
                    0.015003236941993237,
                    0.015131081454455853,
                    0.02625444158911705,
                    0.021335859782993793,
                    0.015038847923278809,
                    0.015169897116720676,
                    0.015237044543027878,
                    0.015071514993906021,
                    0.015075057744979858,
                    0.015305178239941597,
                    0.015457632020115852,
                    0.015367835760116577,
                    0.015359040349721909,
                    0.015249688178300858,
                    0.014324075542390347,
                    0.014347323216497898,
                    0.014174248091876507,
                    0.014196835458278656,
                    0.026551485061645508,
                    0.02031506597995758,
                    0.01448713056743145,
                    0.014341355301439762,
                    0.014337862841784954,
                    0.014325426891446114,
                    0.013303911313414574,
                    0.014375798404216766,
                    0.014308463782072067,
                    0.014147999696433544,
                    0.014187444932758808,
                    0.013317323289811611,
                    0.014324447140097618,
                    0.014126954600214958,
                    0.014203891158103943,
                    0.014413167722523212,
                    0.026194491423666477,
                    0.02071309555321932,
                    0.014430123381316662,
                    0.01430060900747776,
                    0.014173631556332111,
                    0.013914971612393856,
                    0.014307420700788498,
                    0.014413928613066673,
                    0.014318789355456829,
                    0.014118396677076817,
                    0.01423283014446497,
                    0.014431099407374859,
                    0.013157202862203121,
                    0.014397108927369118,
                    0.014401606284081936,
                    0.014530672691762447,
                    0.025971091352403164,
                    0.02034967578947544,
                    0.014453022740781307,
                    0.01440629456192255,
                    0.014232713729143143,
                    0.014342381618916988,
                    0.012889844365417957,
                    0.014297685585916042,
                    0.014281637035310268,
                    0.014470311813056469,
                    0.014215783216059208,
                    0.014215105213224888,
                    0.014393200166523457,
                    0.014175830408930779,
                    0.014118349179625511,
                    0.014336206950247288,
                    0.026091861538589,
                    0.02019461803138256,
                    0.014175545424222946,
                    0.014179538935422897,
                    0.014041121117770672,
                    0.014320353977382183,
                    0.014864585362374783,
                    0.013617259450256824,
                    0.01433583814650774,
                    0.01433869544416666,
                    0.014380947686731815,
                    0.014297304674983025,
                    0.01440101582556963,
                    0.014654072001576424,
                    0.013775806874036789,
                    0.014570832252502441,
                    0.02630413044244051,
                    0.020382859744131565,
                    0.014401896856725216,
                    0.014126615598797798,
                    0.014230413362383842,
                    0.014076394028961658,
                    0.01422004122287035,
                    0.014424565248191357,
                    0.013204873539507389,
                    0.014275992289185524,
                    0.014392104931175709,
                    0.014366550371050835,
                    0.014235753566026688,
                    0.014405671507120132,
                    0.014851285144686699,
                    0.01443689689040184,
                    0.026400400325655937,
                    0.020308183506131172,
                    0.014305678196251392,
                    0.014550774358212948,
                    0.01327829621732235,
                    0.01430573035031557,
                    0.01423574984073639,
                    0.014191090129315853,
                    0.014260399155318737,
                    0.013264503329992294,
                    0.01433347538113594,
                    0.014281331561505795,
                    0.014536584727466106,
                    0.01430156547576189,
                    0.014507735148072243,
                    0.014383639208972454,
                    0.025111975148320198,
                    0.020690081641077995,
                    0.014312823303043842,
                    0.013357025571167469,
                    0.01416951697319746,
                    0.014442669227719307,
                    0.014445806853473186,
                    0.014165922999382019,
                    0.014259555377066135,
                    0.014247970655560493,
                    0.014902018010616302,
                    0.014116384088993073,
                    0.014237646944820881,
                    0.01438931841403246,
                    0.014315622858703136,
                    0.014238509349524975,
                    0.026038607582449913,
                    0.0203243400901556,
                    0.014407784678041935,
                    0.01439930871129036,
                    0.013170269317924976,
                    0.014151299372315407,
                    0.01405592355877161,
                    0.015381790697574615,
                    0.012057829648256302,
                    0.014076706022024155,
                    0.014130949974060059,
                    0.01417536847293377,
                    0.011876062490046024,
                    0.014579243957996368,
                    0.014256604947149754,
                    0.014309987425804138,
                    0.026222022250294685,
                    0.02035482879728079,
                    0.014210066758096218,
                    0.014283723197877407,
                    0.014460905455052853,
                    0.014137090183794498,
                    0.013826423324644566,
                    0.014481877908110619,
                    0.014356461353600025,
                    0.014246837235987186,
                    0.014099972322583199,
                    0.014173172414302826,
                    0.014444553293287754,
                    0.014389151707291603,
                    0.014181687496602535,
                    0.014508198946714401,
                    0.025977651588618755,
                    0.020307764410972595,
                    0.013991370797157288,
                    0.014174302108585835,
                    0.01417142990976572,
                    0.014324183575809002,
                    0.014121459797024727,
                    0.01395974587649107,
                    0.0152367502450943,
                    0.014106810092926025,
                    0.014969512820243835,
                    0.014963795430958271,
                    0.014922427944839,
                    0.014958522282540798,
                    0.015119990333914757,
                    0.015372254885733128,
                    0.026653663255274296,
                    0.01912111509591341,
                    0.013704872690141201,
                    0.01585785299539566,
                    0.015026475302875042,
                    0.014071918092668056,
                    0.01408742181956768,
                    0.015004758723080158,
                    0.014522767625749111,
                    0.014242351986467838,
                    0.014153477735817432,
                    0.014504965394735336,
                    0.014340397901833057,
                    0.014208406209945679,
                    0.01494451705366373,
                    0.014324945397675037,
                    0.02590792253613472,
                    0.020272881723940372,
                    0.014308681711554527,
                    0.01419074460864067,
                    0.014021467417478561,
                    0.015144065022468567,
                    0.014207872562110424,
                    0.01414412073791027,
                    0.014364438131451607,
                    0.014096822589635849,
                    0.014504354447126389,
                    0.014193454757332802,
                    0.014295252040028572,
                    0.014257224276661873,
                    0.013136100955307484,
                    0.014345698058605194,
                    0.025972780771553516,
                    0.02073152083903551,
                    0.014184579253196716,
                    0.014318525791168213,
                    0.014211615547537804,
                    0.014361171051859856,
                    0.014252916909754276,
                    0.014515656977891922,
                    0.012855518609285355,
                    0.014318539761006832,
                    0.014155181124806404,
                    0.014044972136616707,
                    0.014148605987429619,
                    0.01337037980556488,
                    0.015215638093650341,
                    0.014152848161756992,
                    0.026175026781857014,
                    0.0203372985124588,
                    0.014242640696465969,
                    0.014376891776919365,
                    0.014363844878971577,
                    0.014939685352146626,
                    0.015201968140900135,
                    0.015074270777404308,
                    0.014882050454616547,
                    0.01521993800997734,
                    0.015050211921334267,
                    0.014993757009506226,
                    0.015791715122759342,
                    0.015382151119410992,
                    0.014573916792869568,
                    0.015129564329981804,
                    0.0265399357303977,
                    0.021058527752757072,
                    0.014975027181208134,
                    0.014926951378583908,
                    0.015019884333014488,
                    0.015127590857446194,
                    0.015138327144086361,
                    0.015150013379752636,
                    0.01524773333221674,
                    0.015035414136946201,
                    0.015134084038436413,
                    0.015068038366734982,
                    0.01508693490177393,
                    0.015113979578018188,
                    0.015195753425359726,
                    0.015313784591853619,
                    0.026543748565018177,
                    0.02140056062489748,
                    0.014967948198318481,
                    0.012908040545880795,
                    0.01519889198243618,
                    0.014595109969377518,
                    0.014989320188760757,
                    0.014990849420428276,
                    0.015014884062111378,
                    0.014869185164570808,
                    0.015108313411474228,
                    0.015151666477322578,
                    0.015053033828735352,
                    0.014853843487799168,
                    0.015045879408717155,
                    0.015119288116693497,
                    0.0268946485593915,
                    0.019399037584662437,
                    0.013623090460896492,
                    0.014865589328110218,
                    0.014936941675841808,
                    0.01487846951931715,
                    0.014992568641901016,
                    0.01509087160229683,
                    0.014949684031307697,
                    0.015131894499063492,
                    0.015176705084741116,
                    0.014971575699746609,
                    0.014735476113855839,
                    0.015151053667068481,
                    0.014966048300266266,
                    0.015179220587015152,
                    0.027054274454712868,
                    0.021818459033966064,
                    0.016843046061694622,
                    0.014964386820793152,
                    0.014652865938842297,
                    0.014597446657717228,
                    0.014308538287878036,
                    0.014444787055253983,
                    0.014202370308339596,
                    0.014191415160894394,
                    0.01411533635109663,
                    0.014028307050466537,
                    0.01422400027513504,
                    0.014143758453428745,
                    0.014173329807817936,
                    0.014196401461958885,
                    0.024726707488298416,
                    0.02047344297170639,
                    0.014184396713972092,
                    0.013641225174069405,
                    0.014529461041092873,
                    0.015200217254459858,
                    0.014298454858362675,
                    0.014223476871848106,
                    0.015762743540108204,
                    0.015717734582722187,
                    0.01435165200382471,
                    0.014344153925776482,
                    0.014234150759875774,
                    0.01416806410998106,
                    0.013512830249965191,
                    0.014327296055853367,
                    0.025867365300655365,
                    0.02039531245827675,
                    0.014386006630957127,
                    0.014364705421030521,
                    0.01433518435806036,
                    0.01500219851732254,
                    0.014232717454433441,
                    0.01431853137910366,
                    0.014324706047773361,
                    0.014083645306527615,
                    0.014653247781097889,
                    0.015316198579967022,
                    0.015146177262067795,
                    0.014421473257243633,
                    0.014323837123811245,
                    0.014459896832704544,
                    0.026569622568786144,
                    0.021506182849407196,
                    0.015099375508725643,
                    0.01461263932287693,
                    0.015089230611920357,
                    0.013668408617377281,
                    0.015285217203199863,
                    0.014836142770946026,
                    0.015273020602762699,
                    0.014597615227103233,
                    0.014375021681189537,
                    0.015627375803887844,
                    0.015271938405930996,
                    0.014988509938120842,
                    0.015186075121164322,
                    0.015015732496976852,
                    0.025135626085102558,
                    0.020956017076969147,
                    0.015779029577970505,
                    0.014530916698276997,
                    0.014494536444544792,
                    0.014601324684917927,
                    0.013956839218735695,
                    0.014307238161563873,
                    0.014259511604905128,
                    0.014316773042082787,
                    0.014253429137170315,
                    0.014388117007911205,
                    0.014696771278977394,
                    0.012187350541353226,
                    0.012894442304968834,
                    0.012932769022881985,
                    0.025174984708428383,
                    0.019002611748874187,
                    0.012912323698401451,
                    0.012652705423533916,
                    0.012640714645385742,
                    0.013050784356892109,
                    0.01290920190513134,
                    0.012928689830005169,
                    0.012578804045915604,
                    0.013051050715148449,
                    0.012035205960273743,
                    0.011359290219843388,
                    0.011310375295579433,
                    0.011348025873303413,
                    0.011323481798171997,
                    0.01140940748155117,
                    0.024271725676953793,
                    0.01744157075881958,
                    0.011320535093545914,
                    0.011524349451065063,
                    0.01145318802446127,
                    0.011515399441123009,
                    0.011551478877663612,
                    0.011612926609814167,
                    0.011650466360151768,
                    0.011729528196156025,
                    0.011823683977127075,
                    0.011809343472123146,
                    0.011683007702231407,
                    0.011849069967865944,
                    0.01167052797973156,
                    0.011903952807188034,
                    0.024528684094548225,
                    0.017676105722784996,
                    0.012032083235681057,
                    0.011671642772853374,
                    0.011715304106473923,
                    0.011748524382710457,
                    0.011780951172113419,
                    0.011827987618744373,
                    0.011706753633916378,
                    0.011673802509903908,
                    0.011628902517259121,
                    0.011997791938483715,
                    0.011617248877882957,
                    0.011671858839690685,
                    0.011585107073187828,
                    0.011593323200941086
                ],
                "count": 14406,
                "total": 217.07248529884964,
                "mean": 0.015068199729199615,
                "p50": 0.014417700935155153,
                "p90": 0.01912111509591341,
                "p95": 0.02523497585207224,
                "p99": 0.02676591319032022,
                "stdev": 0.0033362418736910394,
                "stdev_": 22.140945392606977
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}