{"y0":1700,"wall_year":1996,"names":["General Agricultural and Biological Sciences","Agronomy and Crop Science","Animal Science and Zoology","Aquatic Science","Ecology, Evolution, Behavior and Systematics","Food Science","Forestry","Horticulture","Insect Science","Plant Science","Soil Science","General Arts and Humanities","History","Language and Linguistics","Archeology (Arts and Humanities)","Classics","Conservation","History and Philosophy of Science","Literature and Literary Theory","Museology","Music","Philosophy","Religious studies","Visual Arts and Performing Arts","Aging","Biochemistry (Biochemistry, Genetics and Molecular Biology)","Biophysics","Biotechnology","Cancer Research","Cell Biology","Clinical Biochemistry","Developmental Biology","Endocrinology","Genetics (Biochemistry, Genetics and Molecular Biology)","Molecular Biology","Molecular Medicine","Physiology (Biochemistry, Genetics and Molecular Biology)","Structural Biology","Accounting","Business and International Management","Management Information Systems","Management of Technology and Innovation","Marketing","Organizational Behavior and Human Resource Management","Strategy and Management","Tourism, Leisure and Hospitality Management","Industrial relations","Bioengineering","Catalysis","Chemical Health and Safety","Filtration and Separation","Fluid Flow and Transfer Processes","Process Chemistry and Technology","Analytical Chemistry","Electrochemistry","Inorganic Chemistry","Organic Chemistry","Physical and Theoretical Chemistry","Spectroscopy","Artificial Intelligence","Computational Theory and Mathematics","Computer Graphics and Computer-Aided Design","Computer Networks and Communications","Computer Science Applications","Computer Vision and Pattern Recognition","Hardware and Architecture","Human-Computer Interaction","Information Systems","Signal Processing","Software","General Decision Sciences","Information Systems and Management","Management Science and Operations Research","Statistics, Probability and Uncertainty","Atmospheric Science","Earth-Surface Processes","Geochemistry and Petrology","Geology","Geophysics","Oceanography","Paleontology","Space and Planetary Science","General Economics, Econometrics and Finance","Economics and Econometrics","Finance","General Energy","Energy Engineering and Power Technology","Fuel Technology","Nuclear Energy and Engineering","Renewable Energy, Sustainability and the Environment","General Engineering","Aerospace Engineering","Automotive Engineering","Biomedical Engineering","Civil and Structural Engineering","Computational Mechanics","Control and Systems Engineering","Electrical and Electronic Engineering","Industrial and Manufacturing Engineering (Engineering)","Mechanical Engineering","Mechanics of Materials","Ocean Engineering","Safety, Risk, Reliability and Quality","Media Technology","Building and Construction","Architecture","Ecological Modeling","Ecology","Environmental Chemistry","Environmental Engineering","Global and Planetary Change","Health, Toxicology and Mutagenesis","Management, Monitoring, Policy and Law","Nature and Landscape Conservation","Pollution","Industrial and Manufacturing Engineering (Environmental Science)","Water Science and Technology","Applied Microbiology and Biotechnology","Immunology","Microbiology (Immunology and Microbiology)","Parasitology","Virology","General Materials Science","Biomaterials","Ceramics and Composites","Electronic, Optical and Magnetic Materials","Materials Chemistry","Metals and Alloys","Polymers and Plastics","Surfaces, Coatings and Films","Algebra and Number Theory","Applied Mathematics","Computational Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Modeling and Simulation","Numerical Analysis","Statistics and Probability","Theoretical Computer Science","Anatomy","Anesthesiology and Pain Medicine","Biochemistry (Medicine)","Cardiology and Cardiovascular Medicine","Critical Care and Intensive Care Medicine","Complementary and alternative medicine","Dermatology","Emergency Medicine","Endocrinology, Diabetes and Metabolism","Epidemiology","Family Practice","Gastroenterology","Genetics (Medicine)","Geriatrics and Gerontology","Health Informatics","Hematology","Hepatology","Immunology and Allergy","Internal Medicine","Infectious Diseases","Microbiology (Medicine)","Nephrology","Neurology (Medicine)","Obstetrics and Gynecology","Oncology","Ophthalmology","Orthopedics and Sports Medicine","Otorhinolaryngology","Pathology and Forensic Medicine","Pediatrics, Perinatology and Child Health","Pharmacology (Medicine)","Physiology (Medicine)","Psychiatry and Mental health","Public Health, Environmental and Occupational Health","Pulmonary and Respiratory Medicine","Radiology, Nuclear Medicine and Imaging","Rehabilitation","Reproductive Medicine","Rheumatology","Surgery","Transplantation","Urology","Behavioral Neuroscience","Biological Psychiatry","Cellular and Molecular Neuroscience","Cognitive Neuroscience","Developmental Neuroscience","Endocrine and Autonomic Systems","Neurology (Neuroscience)","Sensory Systems","Issues, ethics and legal aspects","Leadership and Management","Nutrition and Dietetics","Research and Theory","Pharmaceutical Science","Pharmacology (Pharmacology, Toxicology and Pharmaceutics)","Toxicology","Acoustics and Ultrasonics","Astronomy and Astrophysics","Condensed Matter Physics","Instrumentation","Nuclear and High Energy Physics","Atomic and Molecular Physics, and Optics","Radiation","Statistical and Nonlinear Physics","General Psychology","Applied Psychology","Clinical Psychology","Developmental and Educational Psychology","Experimental and Cognitive Psychology","Neuropsychology and Physiological Psychology","Social Psychology","General Social Sciences","Archeology (Social Sciences)","Development","Education","Geography, Planning and Development","Health","Human Factors and Ergonomics","Law","Library and Information Sciences","Linguistics and Language","Safety Research","Sociology and Political Science","Transportation","Anthropology","Communication","Cultural Studies","Demography","Gender Studies","Life-span and Life-course Studies","Political Science and International Relations","Public Administration","Urban Studies","Equine","Small Animals","General Dentistry","Oral Surgery","Orthodontics","Periodontics","General Health Professions","Complementary and Manual Therapy","Emergency Medical Services","Health Information Management","Medical Laboratory Technology","Medical Terminology","Occupational Therapy","Pharmacy","Physical Therapy, Sports Therapy and Rehabilitation","Radiological and Ultrasound Technology","Speech and Hearing"],"shares":[[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.013423,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,1.37931,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.271003,0.0,0.0,0.271003,0.542005,0.460829,0.07326,0.0,0.0,0.089127,0.0,0.176056,0.097276,0.165563,0.131148,0.059312,0.041477,0.038895,0.0,0.07902,0.0,0.225904,0.215131,0.223571,0.053419,0.07774,0.025994,0.046339,0.071904,0.179416,0.129833,0.074107,0.026943,0.098449,0.136039,0.127741,0.206715,0.106743,0.097611,0.10488,0.085753,0.085866,0.204918,0.115964,0.158845,0.092498,0.150199,0.143278,0.106243,0.210265,0.179597,0.198782,0.165088,0.24188,0.243503,0.481245,0.098066,0.225678,0.229837,0.126231,0.140762,0.155485,0.137418,0.1903,0.147876,0.19007,0.172329,0.197249,0.161508,0.148386,0.16381,0.147298,0.151293,0.158625,0.150686,0.165175,0.171943,0.179729,0.221327,0.199487,0.17601,0.279189,0.206801,0.234688,0.192322,0.16809,0.178815,0.183024,0.144679,0.141089,0.178038,0.127076,0.130271,0.145821,0.130071,0.134501,0.123436,0.124033,0.117333,0.116432,0.110297,0.104896,0.117037,0.112292,0.112542,0.122413,0.143369,0.106682,0.112982,0.110303,0.109935,0.10667,0.112812,0.118633,0.119604,0.11615,0.118226,0.111991,0.118932,0.125659,0.105946,0.1132,0.112223,0.115581,0.11341,0.105421,0.110045,0.111998,0.101448,0.104392,0.100057,0.104913,0.095522,0.094818,0.100872,0.097638,0.101122,0.108874,0.096398,0.104726,0.105871,0.105558,0.107936,0.107264,0.108963,0.114005,0.111877,0.114155,0.117181,0.122918,0.125776,0.12391,0.116987,0.117951,0.123587,0.129295,0.138649,0.146362,0.147142,0.159297,0.143809,0.129971],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.460829,0.0,0.0,0.138696,0.178253,0.0,0.0,0.0,0.082781,0.196721,0.118624,0.0,0.116686,0.0,0.07902,0.259403,0.0,0.107565,0.063877,0.080128,0.103654,0.025994,0.139018,0.251663,0.016311,0.0,0.029643,0.026943,0.086143,0.079356,0.053225,0.538712,0.062267,0.080386,0.191252,0.15313,0.104947,0.068306,0.132531,0.154031,0.111971,0.113664,0.127576,0.128779,0.175221,0.270867,0.296058,0.238943,0.453525,0.335866,0.491484,0.229591,0.269833,0.279983,0.296452,0.271097,0.251885,0.297541,0.283837,0.299618,0.328537,0.386728,0.316928,0.33243,0.317139,0.307624,0.371104,0.34293,0.341791,0.368938,0.423553,0.437672,0.481891,0.398123,0.346965,0.409918,0.44913,0.447555,0.471712,0.374697,0.438989,0.461701,0.444611,0.415951,0.387498,0.423308,0.346331,0.353495,0.385977,0.43618,0.383085,0.365507,0.426423,0.394572,0.40967,0.384845,0.347404,0.409092,0.399307,0.375318,0.418143,0.405252,0.345021,0.349478,0.320494,0.374279,0.339577,0.356682,0.354779,0.379746,0.376076,0.370064,0.391694,0.352191,0.394503,0.376305,0.380085,0.37506,0.352074,0.377591,0.323389,0.35276,0.336823,0.306378,0.329034,0.306218,0.302539,0.268265,0.272636,0.260177,0.245584,0.238085,0.252832,0.231583,0.249591,0.244869,0.230351,0.2282,0.235743,0.228756,0.227817,0.229982,0.235326,0.23694,0.228411,0.238429,0.221343,0.20962,0.210106,0.205064,0.204964,0.218818,0.221244,0.219674,0.210276,0.206929,0.19933],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.980198,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.459854,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.622407,0.277393,0.0,0.0,0.176056,0.097276,0.0,0.065574,0.0,0.12443,0.038895,0.0,0.15804,0.043234,0.225904,0.107565,0.159693,0.133547,0.155481,0.0,0.115848,0.071904,0.081553,0.043278,0.029643,0.040415,0.061531,0.090693,0.02129,0.319469,0.106743,0.09187,0.135727,0.16538,0.109717,0.142304,0.160141,0.255114,0.194732,0.235447,0.243376,0.444287,0.356813,0.479906,0.537134,0.434443,0.496717,0.466015,0.82938,0.176519,0.458716,0.593397,0.443722,0.448353,0.421364,0.424205,0.454785,0.486155,0.544408,0.571193,0.653064,0.684416,0.629914,0.772905,0.720042,0.766549,0.761399,0.836546,0.811379,0.903712,0.875124,0.818179,0.869194,0.999707,0.99537,1.13895,0.982538,1.009929,1.018705,0.965347,0.801639,0.886419,0.836158,0.96344,0.864859,0.79231,0.86597,0.880898,0.854604,0.876606,0.93208,0.97916,0.916089,0.909241,1.056001,0.84152,0.784861,0.777476,0.79485,0.796281,0.783242,0.76367,0.763027,0.776512,0.745722,0.743671,0.708818,0.696769,0.656842,0.677596,0.686659,0.627359,0.621243,0.626159,0.602669,0.575828,0.547521,0.507869,0.477706,0.479378,0.437596,0.42081,0.390555,0.37992,0.360172,0.316679,0.327554,0.313636,0.291591,0.293376,0.272177,0.260797,0.254092,0.264502,0.249733,0.244407,0.24706,0.236966,0.23282,0.240686,0.232047,0.229743,0.221981,0.226218,0.217252,0.214087,0.210065,0.202271,0.209759,0.235247,0.235195,0.242485,0.230611,0.233484,0.237485],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.818182,1.06383,1.980198,2.941176,0.0,1.025641,0.689655,0.0,1.754386,0.0,0.0,0.0,0.52356,0.0,0.571429,1.111111,0.735294,1.357466,0.0,0.655738,0.0,0.0,0.0,0.0,0.423729,0.246914,1.084011,0.542005,0.0,0.07326,0.207469,0.416089,0.089127,0.127389,0.176056,0.680934,0.165563,0.196721,0.177936,0.622148,0.116686,0.965108,0.355591,0.475573,0.451807,0.322696,0.255509,0.106838,0.285048,0.571874,0.301205,0.323566,0.326211,0.216388,0.296428,0.282904,0.381492,0.249405,0.180967,0.212979,0.160114,0.206706,0.215929,0.214382,0.176501,0.461066,0.298194,0.187726,0.389465,0.361289,0.196271,0.30263,0.261238,0.385691,0.253764,0.321488,0.285073,0.314875,0.286699,0.092298,0.206054,0.213122,0.168308,0.151189,0.155485,0.180436,0.166647,0.196202,0.181469,0.154529,0.174347,0.210757,0.213851,0.192265,0.213081,0.22883,0.212497,0.179643,0.176567,0.192205,0.17611,0.163503,0.173126,0.161343,0.14393,0.19214,0.175141,0.155847,0.154799,0.1744,0.127447,0.127642,0.131374,0.15542,0.150165,0.143332,0.163409,0.142168,0.153387,0.155742,0.171658,0.175197,0.147491,0.169699,0.230564,0.166401,0.15793,0.162975,0.206738,0.192197,0.169477,0.190503,0.177325,0.161461,0.180996,0.181472,0.178229,0.177971,0.188486,0.184847,0.176326,0.17985,0.178052,0.187923,0.186877,0.175012,0.169867,0.165848,0.159375,0.156161,0.148637,0.155602,0.149673,0.150412,0.147295,0.139324,0.140522,0.144294,0.133115,0.12795,0.138651,0.119984,0.130422,0.119349,0.116576,0.119339,0.122732,0.123172,0.124343,0.125406,0.13155,0.126437,0.127048,0.128381,0.125369,0.120491,0.125387,0.127572,0.130434,0.140602,0.150359,0.155418,0.156995,0.157798,0.161414],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,10.526316,0.0,1.010101,0.0,0.0,0.0,1.06383,50.0,0.0,0.0,20.0,0.0,0.0,5.263158,0.0,0.0,20.0,0.0,0.0,0.0,5.882353,8.695652,0.0,13.333333,7.692308,0.0,0.0,16.129032,0.0,0.0,4.545455,3.333333,9.090909,13.333333,11.538462,0.0,0.0,2.013423,0.0,2.222222,12.121212,0.0,4.587156,7.272727,6.382979,1.980198,3.921569,4.761905,4.102564,2.758621,6.306306,6.140351,5.769231,3.738318,3.947368,3.664921,3.649635,1.714286,7.777778,5.882353,5.429864,4.324324,4.590164,5.855856,2.564103,3.73444,4.065041,6.779661,2.716049,2.710027,4.878049,4.83871,0.805861,4.979253,3.606103,2.049911,2.802548,2.992958,5.155642,2.980132,4.131148,4.626335,4.686852,3.539479,6.607275,2.212564,3.674881,3.200301,2.760846,3.449377,3.231838,3.394662,3.639199,3.266914,3.109833,3.816669,4.760531,3.512672,3.906776,3.691853,3.004195,3.363849,3.70208,3.691514,3.037437,3.300635,2.719588,2.299289,3.59745,3.766083,3.561974,4.026094,3.925469,3.458292,3.544638,3.88034,4.024731,4.03485,3.453819,4.885107,3.959024,4.91143,1.632516,3.144778,2.950272,2.842115,3.048102,2.714763,2.589441,2.72871,2.743923,2.716022,2.805803,3.048862,2.682619,2.441827,2.404848,2.707843,2.426986,2.530812,2.397027,2.364753,2.390408,2.37327,2.191338,2.143061,2.047276,1.835539,1.72,1.781763,1.726637,1.707875,1.603656,1.704537,1.56945,1.549773,1.633262,1.515221,1.52169,1.508732,1.516454,1.431273,1.399819,1.376087,1.290287,1.323434,1.219311,1.24883,1.109401,1.124829,1.036134,1.054516,1.040495,0.957509,0.952158,0.91367,0.914992,0.8938,0.896011,0.913059,0.906248,0.899037,0.875855,0.886471,0.854913,0.870717,0.872496,0.871543,0.846972,0.82891,0.829671,0.790972,0.780934,0.734879,0.770942,0.730339,0.729505,0.696296,0.703106,0.695848,0.697517,0.693216,0.730264,0.73897,0.692596,0.710458,0.769041,0.693341,0.713506,0.748061,0.699393,0.72221,0.703965,0.679788,0.652352,0.672482,0.670559,0.651216,0.647618,0.62287,0.628693,0.619484,0.601577,0.599795,0.575945,0.57841,0.514294,0.503185],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,4.918033,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,6.060606,0.0,0.0,0.0,0.0,3.960396,0.0,0.0,0.512821,0.689655,0.45045,1.754386,1.923077,2.803738,1.315789,0.0,0.0,0.571429,0.0,1.838235,0.0,2.702703,0.655738,0.45045,0.0,0.0,0.542005,0.423729,0.0,0.271003,0.542005,0.460829,0.0,0.207469,0.416089,0.534759,0.509554,0.264085,0.486381,0.331126,0.131148,0.29656,0.290336,0.583431,0.408315,0.395101,0.129702,0.376506,0.143421,0.095816,0.267094,0.414615,0.441903,0.393883,0.431422,0.375143,0.360646,0.311249,0.538866,0.270736,0.408117,0.340643,0.457279,0.400285,0.556959,0.579925,0.998407,1.178266,0.648907,0.425203,0.616125,0.477095,0.78347,0.849853,0.569846,0.484246,0.842043,0.621722,0.751586,1.071182,1.267895,0.921533,0.417647,0.760438,0.91308,0.843454,0.736827,0.698126,0.701432,0.709593,0.635964,0.755119,0.813909,0.694434,0.780017,0.797213,0.750602,0.799411,0.815089,0.869742,0.817241,0.909759,0.943658,0.94388,0.982347,0.948988,1.166453,1.380339,1.273989,1.207886,1.177619,1.178195,1.041036,1.057407,1.002529,0.974377,1.032954,1.028947,0.889165,0.932644,0.976103,0.903096,0.931831,0.898063,0.814535,0.880379,0.850361,0.794684,0.791199,0.758694,0.708052,0.720565,0.72795,0.68504,0.636191,0.617247,0.590159,0.572276,0.53906,0.546115,0.54032,0.51583,0.513511,0.502937,0.486483,0.49469,0.465488,0.485691,0.447629,0.437808,0.443968,0.429515,0.444235,0.431843,0.436689,0.441575,0.420205,0.428498,0.423673,0.407029,0.388534,0.402348,0.40959,0.408977,0.4072,0.440094,0.446436,0.444814,0.460767,0.470891,0.462325,0.485601,0.506296,0.52107,0.530698,0.529547,0.554621,0.551247,0.542517,0.556801,0.551625,0.570984,0.610375,0.643902,0.682872,0.691469,0.715909,0.74317],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,3.333333,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.729927,0.571429,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.460829,0.0,0.0,0.554785,0.0,0.127389,0.0,0.194553,0.0,0.0,0.0,0.165906,0.077791,0.03712,0.03951,0.129702,0.188253,0.107565,0.063877,0.053419,0.025913,0.051989,0.0,0.035952,0.016311,0.158684,0.0,0.013472,0.036919,0.03401,0.074516,0.112754,0.062267,0.034451,0.061694,0.01225,0.104947,0.073998,0.027611,0.052948,0.053551,0.040594,0.047105,0.06117,0.031858,0.050052,0.0719,0.047789,0.090705,0.113355,0.119458,0.032304,0.076044,0.094024,0.042077,0.072988,0.049755,0.046603,0.038705,0.055091,0.032682,0.064724,0.040632,0.047076,0.054554,0.053065,0.065783,0.052322,0.073626,0.061132,0.061617,0.085682,0.060312,0.050513,0.056284,0.085689,0.09971,0.077936,0.092241,0.075792,0.069191,0.073166,0.100969,0.072077,0.069772,0.067024,0.061511,0.061743,0.062677,0.064751,0.073886,0.062973,0.060185,0.063811,0.05888,0.055298,0.050256,0.048466,0.04708,0.042246,0.042492,0.052091,0.03679,0.035039,0.036047,0.035343,0.033728,0.035663,0.037057,0.038312,0.035806,0.034491,0.035922,0.038899,0.039294,0.037818,0.037033,0.036337,0.032249,0.033908,0.035907,0.035863,0.03279,0.033561,0.035228,0.034114,0.03469,0.035928,0.030264,0.032236,0.031212,0.032251,0.032763,0.030116,0.03488,0.035015,0.033417,0.035259,0.034473,0.03389,0.036247,0.036415,0.038373,0.037144,0.038531,0.038123,0.035051,0.033243,0.031485,0.033255,0.035512,0.037585,0.039056,0.037935,0.04124,0.036658,0.033108],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.014821,0.0,0.0,0.0,0.0,0.0,0.0,0.011484,0.0,0.018376,0.00477,0.005692,0.005522,0.004813,0.0,0.0,0.001963,0.006439,0.009557,0.008833,0.012688,0.008689,0.004319,0.012595,0.003413,0.001154,0.002453,0.004179,0.003825,0.006951,0.007774,0.0,0.006451,0.001933,0.00602,0.008091,0.006649,0.005794,0.005819,0.003076,0.012156,0.006934,0.00419,0.005362,0.003625,0.00521,0.006634,0.002659,0.006412,0.005404,0.006936,0.006945,0.010508,0.00379,0.007036,0.016399,0.007565,0.008387,0.005078,0.006433,0.00705,0.006446,0.007195,0.008254,0.006253,0.00633,0.00628,0.0101,0.008637,0.00694,0.006982,0.005744,0.00716,0.004651,0.004844,0.008028,0.004435,0.006013,0.005132,0.003568,0.003449,0.003669,0.003764,0.004543,0.003165,0.004107,0.004567,0.003516,0.003945,0.003702,0.003628,0.003968,0.003839,0.003724,0.00398,0.003429,0.00331,0.003148,0.003468,0.003791,0.003912,0.00302,0.003305,0.002897,0.002685,0.002838,0.00327,0.002622,0.003657,0.003553,0.00337,0.003979,0.00453,0.004337,0.004433,0.00415,0.004384,0.004527,0.00446,0.004839,0.004651,0.005722,0.005176,0.005429,0.005566,0.005642,0.006698,0.00684,0.007022,0.007259,0.007706],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,10.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,2.222222,6.060606,4.081633,0.917431,3.636364,2.12766,0.990099,0.980392,0.0,0.512821,0.689655,0.900901,0.0,0.0,3.738318,1.315789,0.52356,0.729927,0.0,1.111111,0.367647,1.809955,0.0,0.655738,0.45045,0.42735,2.489627,0.0,2.542373,0.493827,0.271003,0.271003,0.230415,0.0,0.207469,0.554785,0.178253,0.254777,0.616197,0.097276,1.738411,0.983607,1.4828,1.368727,0.350058,0.74239,0.434611,0.734976,0.338855,0.107565,0.191632,0.42735,0.181394,0.18196,0.231696,0.39547,0.375143,0.201962,0.192678,0.471507,0.209205,0.283415,0.298063,0.601353,0.293542,0.241158,0.160405,0.263384,0.219434,0.449681,0.408637,0.283995,0.365123,0.949907,0.433759,0.621358,0.503361,0.70661,0.92201,0.560431,0.768832,0.730509,0.972729,0.272278,0.532306,0.495194,0.422683,0.406645,0.495996,0.440934,0.438658,0.43203,0.463564,0.485433,0.578449,0.539566,0.549902,0.554492,0.570599,0.554109,0.544711,0.545364,0.50174,0.470671,0.490938,0.459935,0.452408,0.551962,0.513292,0.602656,0.639263,0.516807,0.504271,0.523829,0.500188,0.49694,0.484208,0.498839,0.474289,0.407605,0.433624,0.479584,0.437702,0.450745,0.450078,0.436389,0.511651,0.440815,0.433432,0.433086,0.410846,0.38026,0.419596,0.435311,0.417183,0.41325,0.393309,0.408498,0.379575,0.413504,0.377071,0.34627,0.328602,0.328082,0.332138,0.318417,0.304151,0.295273,0.340951,0.315138,0.311247,0.304057,0.271652,0.279541,0.273942,0.281829,0.279601,0.254764,0.246331,0.245269,0.249699,0.242303,0.278243,0.263234,0.276982,0.254209,0.268724,0.300265,0.276518,0.272518,0.267102,0.271267,0.276313,0.266867,0.266591,0.275701,0.274901,0.276014,0.265638,0.276044,0.276317,0.281463,0.277792,0.295115,0.301943,0.306099,0.295611,0.301724,0.302964],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.508772,0.0,5.050505,12.5,1.639344,0.0,13.829787,25.0,0.0,3.125,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,25.0,0.980392,5.882353,8.695652,8.333333,6.666667,7.692308,0.0,3.333333,16.129032,9.090909,2.222222,0.0,26.666667,0.0,6.666667,23.076923,6.060606,5.263158,7.38255,2.702703,11.111111,9.090909,12.244898,1.834862,5.454545,3.191489,3.960396,2.941176,7.482993,2.564103,6.206897,2.702703,4.385965,1.923077,5.607477,1.973684,2.617801,3.649635,4.0,4.444444,6.25,5.429864,7.027027,6.557377,4.504505,4.700855,3.73444,2.439024,1.694915,3.703704,13.279133,2.710027,2.534562,0.659341,2.489627,2.080444,2.762923,1.910828,1.93662,2.140078,2.731788,2.295082,4.389087,3.110742,1.400233,3.229399,2.054524,2.464332,2.635542,2.007888,2.618972,1.762821,2.280384,1.949571,2.409639,1.779615,1.875714,3.087132,2.22321,2.061161,1.858233,2.085931,2.384501,3.583062,1.823519,1.854616,1.875501,1.99069,2.141869,2.880237,2.799713,2.33935,2.550996,3.182593,2.65947,2.623869,3.134856,3.347564,3.408899,3.145364,4.74689,3.992611,4.539404,1.629055,3.566698,3.366068,2.627905,2.754414,2.49864,2.84038,2.778166,2.770019,2.832988,3.172304,3.348059,2.973768,2.881895,3.028555,3.504394,3.318351,3.750127,3.583207,3.566547,3.757845,3.755617,3.510661,3.458963,3.588136,3.588708,3.538771,3.344601,3.29269,3.445459,3.071072,3.097148,2.925813,3.026463,3.02084,2.907772,2.891058,2.906659,3.05027,3.011212,2.89961,2.923204,2.695263,2.787384,2.530636,2.60371,2.417754,2.372201,2.210633,2.432678,2.452003,2.279622,2.242287,2.169084,2.136638,2.082164,2.172945,2.040016,2.099373,2.026121,2.188008,2.171268,2.146518,2.175004,2.145764,2.199114,2.129856,2.112081,2.071425,2.087894,2.070911,2.074384,2.065396,2.056439,2.001322,1.969359,1.902481,1.95604,1.850727,1.884764,1.813844,1.907815,1.780098,1.762879,1.821624,1.784995,1.814837,1.868544,1.807443,1.849779,1.833628,1.887031,1.887151,1.925434,1.902999,1.849638,1.838935,1.902527,1.842532,1.925439,2.029801,2.117163,2.202097,2.17825,2.135793,2.173225],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.877193,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.07326,0.207469,0.0,0.0,0.0,0.088028,0.0,0.0,0.196721,0.118624,0.0,0.038895,0.0,0.07902,0.0,0.037651,0.035855,0.031939,0.0,0.051827,0.077983,0.069509,0.035952,0.048932,0.028852,0.029643,0.026943,0.024612,0.181385,0.095806,0.263092,0.008895,0.028709,0.037016,0.061252,0.038162,0.07969,0.016566,0.028881,0.02921,0.105545,0.060844,0.06117,0.089203,0.100103,0.160717,0.112955,0.215964,0.117553,0.160415,0.077299,0.095668,0.11074,0.076504,0.081677,0.085517,0.092011,0.059133,0.097618,0.065363,0.080905,0.187645,0.103568,0.101106,0.116897,0.102965,0.090776,0.096372,0.082046,0.153266,0.147628,0.134495,0.10302,0.122542,0.097269,0.138728,0.122692,0.106836,0.083845,0.130172,0.113533,0.137341,0.103529,0.110398,0.097734,0.137475,0.120432,0.118799,0.15896,0.133352,0.134023,0.115346,0.114596,0.124321,0.105969,0.12059,0.136962,0.102351,0.086575,0.090841,0.133801,0.088694,0.086199,0.095386,0.089117,0.090132,0.09092,0.098514,0.106058,0.103261,0.115036,0.10757,0.120734,0.13074,0.126043,0.134406,0.147005,0.132693,0.137294,0.148176,0.149867,0.158054,0.146345,0.164576,0.15989,0.185137,0.173831,0.172614,0.174974,0.182343,0.186936,0.204261,0.193267,0.207224,0.213624,0.215724,0.228628,0.221334,0.237035,0.237818,0.248713,0.253192,0.254594,0.267457,0.272054,0.268623,0.277526,0.284303,0.294904,0.302454,0.319528,0.342681,0.364553,0.365824,0.379878,0.388629],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.230415,0.0,0.207469,0.0,0.0,0.127389,0.0,0.097276,0.082781,0.0,0.0,0.0,0.038895,0.03712,0.0,0.0,0.037651,0.0,0.127755,0.026709,0.051827,0.025994,0.0,0.053928,0.0,0.028852,0.0,0.026943,0.0,0.045346,0.010645,0.006264,0.008895,0.011484,0.012339,0.01225,0.0,0.0,0.0,0.009627,0.014605,0.016238,0.011776,0.025756,0.025487,0.014721,0.012688,0.008689,0.0,0.004198,0.0,0.047303,0.004906,0.006268,0.005738,0.005213,0.004665,0.00717,0.007526,0.004833,0.014621,0.002427,0.005171,0.003621,0.007274,0.006152,0.00286,0.003782,0.001197,0.001072,0.003625,0.002895,0.001206,0.002659,0.000712,0.002316,0.004335,0.003858,0.001168,0.001895,0.003909,0.002208,0.00291,0.002359,0.002208,0.002283,0.002996,0.001357,0.003518,0.003415,0.00319,0.002074,0.002721,0.002643,0.00191,0.002015,0.001962,0.002034,0.003451,0.002422,0.003038,0.004875,0.001632,0.001723,0.001801,0.001658,0.002195,0.001859,0.002285,0.002282,0.002555,0.002309,0.002357,0.00368,0.002583,0.00256,0.002064,0.002065,0.002095,0.008072,0.002811,0.002691,0.0027,0.002873,0.00266,0.003252,0.00302,0.003409,0.027023,0.003482,0.007264,0.004049,0.004148,0.003586,0.003929,0.004009,0.00484,0.004404,0.00391,0.004083,0.004503,0.0042,0.004284,0.004593,0.00468,0.004989,0.004957,0.004562,0.004118,0.004341,0.004692,0.004178,0.003366,0.003016,0.00325,0.002389,0.001387],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,50.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,3.030303,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,10.526316,0.0,25.0,0.0,0.0,0.0,0.980392,0.0,4.347826,0.0,6.666667,0.0,0.0,10.0,0.0,0.0,0.0,0.0,0.0,3.030303,6.666667,0.0,3.030303,5.263158,6.711409,2.702703,0.0,3.030303,0.0,0.0,0.0,0.0,0.990099,3.921569,2.040816,1.025641,0.0,2.252252,0.877193,3.846154,0.0,0.657895,3.664921,2.919708,2.285714,1.111111,2.205882,2.714932,4.324324,3.934426,4.954955,1.282051,5.809129,2.98103,4.237288,2.962963,1.897019,3.794038,7.834101,0.805861,2.074689,3.051318,1.960784,4.076433,1.672535,2.140078,2.649007,2.295082,2.965599,2.115305,1.866978,2.412769,2.844725,2.637268,2.597892,2.689136,1.916321,2.804487,2.720912,1.923577,2.664504,2.013302,1.76154,2.149452,1.911961,1.710899,2.362786,2.063258,1.894826,1.165122,1.894681,1.923519,1.986551,1.623178,1.431093,1.724727,1.684245,1.593261,1.484835,1.485751,1.322866,1.596858,1.889197,1.899014,1.62832,1.320706,1.714755,1.763298,1.55978,4.546818,1.891282,1.673631,1.652482,1.770819,1.682345,1.567765,1.467568,1.789977,1.495618,1.621346,1.460528,1.261642,1.173997,1.085143,1.075415,1.062831,0.948755,0.842981,0.896297,0.907186,0.896234,0.898602,0.827159,0.940265,0.782943,0.884307,0.725082,0.708182,0.731779,0.621594,0.627053,0.613836,0.534328,0.499047,0.502665,0.499371,0.457928,0.425364,0.41218,0.401741,0.378903,0.348412,0.484329,0.305593,0.275569,0.383363,0.328996,0.270964,0.285293,0.281605,0.238552,0.224762,0.220186,0.210262,0.235311,0.204392,0.234757,0.217497,0.200002,0.181445,0.187037,0.272799,0.187219,0.18577,0.191569,0.19564,0.20239,0.290903,0.19814,0.223989,0.238331,0.187797,0.192154,0.233197,0.1974,0.245963,0.270545,0.305048,0.301213,0.282583,0.270431,0.286959,0.312295,0.264725,0.31633,0.255199,0.236728,0.230602,0.244954,0.195902,0.217068,0.229261,0.206947,0.206562,0.198826,0.191382,0.209896,0.228811,0.390679,0.2367,0.163449,0.138325,0.145127,0.118756,0.10103],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,7.692308,0.0,0.0,0.0,0.0,0.0,4.545455,0.0,0.0,13.333333,7.692308,0.0,0.0,2.684564,2.702703,8.888889,9.090909,0.0,0.0,1.818182,1.06383,1.980198,0.0,2.721088,2.051282,0.689655,2.702703,1.754386,0.961538,3.738318,0.657895,1.04712,2.919708,1.714286,0.0,2.205882,0.452489,1.081081,0.983607,0.0,1.282051,2.489627,2.168022,0.847458,2.716049,0.813008,3.523035,0.921659,0.3663,1.659751,0.832178,0.623886,1.273885,1.760563,2.33463,1.490066,1.508197,1.4828,1.742016,1.866978,1.670379,1.185302,1.297017,2.409639,1.864468,1.980198,1.522436,1.373413,1.715623,1.784059,1.743663,1.402708,1.125216,1.259819,1.468409,1.230618,1.337717,1.266766,0.638938,1.04074,1.49288,1.252391,1.145412,1.068549,1.218124,1.286653,1.21781,1.148922,1.165056,1.061825,0.998036,1.019465,1.068747,0.647099,0.742897,0.678127,0.902641,0.778184,5.95782,0.797233,0.80443,0.772688,0.85326,0.81163,0.896207,0.702067,0.849563,0.798982,0.671516,0.722507,0.598954,0.579725,0.549877,0.520547,0.562935,0.50281,0.457956,0.484653,0.434199,0.397455,0.398123,0.485181,0.389847,0.328611,0.400485,0.277306,0.304589,0.369017,0.262388,0.251112,0.320285,0.317727,0.269755,0.251156,0.280896,0.259343,0.237657,0.23812,0.197433,0.233727,0.206536,0.218579,0.210893,0.178866,0.217261,0.240398,0.21273,0.225056,0.345023,0.217088,0.184685,0.225679,0.192871,0.247407,0.203976,0.209282,0.215152,0.218153,0.217364,0.204575,0.281589,0.226683,0.2262,0.222233,0.217057,0.217396,0.250523,0.230577,0.240865,0.23772,0.262083,0.251596,0.255528,0.24915,0.268093,0.255609,0.239099,0.277774,0.257926,0.304065,0.285521,0.322981,0.295597,0.34633,0.303523,0.290001,0.29608,0.350728,0.335163,0.316173,0.399302,0.348188,0.435675,0.429671,0.391603,0.410082,0.394614,0.442447,0.396765,0.351558,0.318228,0.328183,0.297045,0.254218],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,12.121212,0.0,2.013423,5.405405,4.444444,3.030303,0.0,0.917431,10.909091,2.12766,2.970297,5.882353,7.482993,1.025641,0.689655,1.801802,1.754386,4.807692,4.672897,3.289474,1.04712,1.459854,1.714286,3.333333,3.308824,3.167421,1.621622,2.295082,1.801802,2.136752,2.489627,2.439024,1.271186,0.987654,3.523035,1.355014,2.534562,0.21978,1.86722,1.386963,1.515152,1.783439,1.496479,1.361868,1.407285,1.442623,0.948992,1.700539,1.205757,1.373422,2.884235,1.599654,1.506024,1.649337,1.788566,1.495726,2.073076,1.481674,0.996293,1.18641,1.386397,1.197346,1.571069,1.630069,1.661334,1.496429,1.319991,0.770484,1.094111,1.159853,1.122833,1.176038,0.982684,1.035974,1.04368,1.164862,1.168395,1.120403,0.934249,0.981939,0.885661,0.794936,0.888175,0.773308,0.907049,0.877451,0.747466,7.856846,0.834028,0.814877,0.722961,0.811553,0.743217,0.754009,0.799905,0.758711,0.723298,0.656144,0.624991,0.627924,0.619731,0.610633,0.584185,0.552848,0.542915,0.555553,0.530736,0.554616,0.469226,0.465252,0.503705,0.544242,0.500286,0.561759,0.476966,0.471332,0.435471,0.394212,0.433845,0.387907,0.364977,0.356284,0.354967,0.342639,0.353199,0.334144,0.314303,0.299587,0.287003,0.343032,0.362665,0.304548,0.256067,0.325742,0.301129,0.238262,0.232938,0.426917,0.598864,0.198401,0.564692,0.178065,0.783708,0.17795,0.210268,0.176862,0.188696,0.158569,0.155471,0.489671,0.197308,0.243081,0.199751,0.16073,0.175209,0.257649,0.165573,0.193057,0.144596,0.265097,0.138996,0.247018,0.141167,0.22095,0.17309,0.162456,0.203995,0.269718,0.180002,0.163022,0.166256,0.187747,0.219212,0.166812,0.193916,0.15861,0.169933,0.15579,0.163199,0.177907,0.174557,0.173039,0.173207,0.1692,0.174248,0.202769,0.249745,0.217431,0.173503,0.152593,0.158841,0.150811,0.137959],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,6.666667,0.0,3.030303,0.0,0.671141,2.702703,0.0,0.0,0.0,0.917431,0.0,0.0,0.990099,2.941176,2.040816,0.0,0.0,1.351351,2.631579,0.961538,1.869159,1.315789,1.570681,0.0,1.142857,0.0,0.0,1.357466,0.0,0.327869,1.351351,0.42735,1.659751,0.813008,2.542373,0.987654,2.439024,0.271003,2.764977,0.29304,0.622407,0.970874,0.891266,0.89172,0.616197,0.486381,0.57947,0.590164,1.126928,0.705102,0.700117,0.371195,0.513631,0.302637,0.753012,0.824668,0.606835,0.854701,0.881057,0.675851,0.648749,0.48535,0.701354,0.548182,0.474285,0.525394,0.873739,0.725541,0.62806,0.407166,0.63156,0.643087,0.635449,0.60027,0.443639,0.569217,0.5743,0.630566,0.545251,0.454656,0.414132,0.466823,0.554334,0.476962,0.266452,0.286732,0.341223,0.419833,0.337895,2.457428,0.367954,0.369829,0.367218,0.377103,0.373163,0.467223,0.334369,0.415599,0.313916,0.328476,0.313973,0.265799,0.242946,0.238408,0.233817,0.269175,0.195138,0.193049,0.211777,0.176574,0.153192,0.178125,0.15674,0.141271,0.104913,0.146613,0.095744,0.095687,0.128218,0.10691,0.119009,0.101957,0.101567,0.097319,0.093589,0.105506,0.0873,0.080832,0.080011,0.073123,0.081328,0.087504,0.134204,0.069999,0.051871,0.120627,0.096324,0.050191,0.062704,0.059496,0.051372,0.041897,0.043641,0.046665,0.06048,0.0476,0.044249,0.041829,0.043852,0.036642,0.03706,0.105672,0.044715,0.046561,0.047117,0.043448,0.044085,0.116711,0.036158,0.045985,0.039869,0.045283,0.031804,0.054597,0.041114,0.037985,0.070314,0.065305,0.157113,0.093483,0.074376,0.055593,0.075157,0.057921,0.097703,0.050812,0.040438,0.074586,0.099467,0.039431,0.058296,0.071307,0.040427,0.039127,0.039215,0.038467,0.053389,0.05587,0.109078,0.068528,0.035828,0.030153,0.041962,0.024562,0.020834],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.254777,0.0,0.097276,0.0,0.0,0.059312,0.041477,0.0,0.0,0.07902,0.0,0.150602,0.035855,0.031939,0.026709,0.025913,0.051989,0.0,0.035952,0.0,0.0,0.029643,0.08083,0.061531,0.045346,0.010645,0.006264,0.026686,0.028709,0.0,0.030626,0.009541,0.022769,0.011044,0.028881,0.019473,0.016238,0.019627,0.025756,0.028672,0.014721,0.029606,0.0391,0.021596,0.02519,0.023892,0.035765,0.02453,0.027163,0.019126,0.019116,0.013994,0.015534,0.011827,0.007732,0.00774,0.015372,0.011081,0.014485,0.010183,0.012305,0.018591,0.012608,0.02095,0.016087,0.028479,0.02721,0.040409,0.029244,0.03206,0.029335,0.041618,0.027779,0.030941,0.021317,0.028927,0.026806,0.027352,0.029355,0.020534,0.02075,0.016744,0.02256,0.021905,0.02035,0.0208,0.016371,0.019468,0.014442,0.013038,0.014701,0.011771,0.01466,0.013856,0.013371,0.017041,0.021262,0.012382,0.013846,0.014377,0.013401,0.015127,0.013331,0.01407,0.016434,0.014605,0.013888,0.014499,0.016552,0.015198,0.014453,0.0146,0.017263,0.016311,0.016345,0.014168,0.016929,0.018135,0.016658,0.016328,0.017585,0.016746,0.018153,0.017541,0.018537,0.017913,0.018247,0.018335,0.018494,0.017848,0.018422,0.020921,0.020638,0.019794,0.02031,0.021874,0.02187,0.022644,0.02357,0.02368,0.024589,0.026238,0.025116,0.025857,0.027133,0.029675,0.029864,0.028915,0.028902,0.03152,0.02894,0.026603],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,25.0,6.060606,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,15.789474,0.0,0.0,0.0,0.0,12.5,0.0,5.882353,4.347826,0.0,0.0,7.692308,6.666667,0.0,9.677419,0.0,2.222222,4.545455,0.0,0.0,13.333333,0.0,3.030303,0.0,5.369128,0.0,2.222222,3.030303,4.081633,0.0,7.272727,1.06383,0.990099,4.901961,2.040816,4.102564,4.137931,7.207207,5.263158,1.923077,1.869159,4.605263,4.712042,0.729927,5.714286,10.0,4.044118,2.262443,2.162162,2.622951,3.603604,3.418803,2.489627,2.439024,2.966102,1.481481,1.084011,2.98103,4.37788,1.025641,4.771784,6.380028,4.723708,4.458599,3.785211,2.918288,4.635762,3.868852,2.313167,2.944836,2.528199,3.563474,3.279336,2.810203,3.162651,2.689136,2.459278,2.510684,2.047162,1.975565,2.131603,1.869495,1.549503,1.731102,1.645176,2.034218,2.030519,2.017912,2.065148,1.021047,1.716776,1.378043,1.252391,1.470048,1.054238,1.62796,1.314264,1.280385,1.21221,1.238126,1.933268,1.567883,1.178757,1.221846,1.353409,1.381528,1.265549,1.40644,1.29356,0.817989,1.226512,1.13038,0.939084,0.863687,0.780533,0.93564,0.83646,0.787706,0.734478,0.678797,0.644937,0.659067,0.659737,0.584485,0.572744,0.581216,0.581225,0.559306,0.565946,0.538985,0.521697,0.529058,0.481619,0.444657,0.443928,0.438295,0.472879,0.441962,0.483162,0.438049,0.438501,0.377947,0.369614,0.352964,0.342806,0.32432,0.325698,0.318632,0.2958,0.289765,0.28648,0.259681,0.292491,0.24022,0.211639,0.218577,0.229324,0.200522,0.205417,0.216098,0.188032,0.185433,0.18762,0.201608,0.180526,0.199084,0.194585,0.184419,0.187762,0.193977,0.210459,0.237237,0.179627,0.198398,0.172427,0.186486,0.188306,0.214944,0.191172,0.18342,0.180721,0.165883,0.171792,0.17352,0.164555,0.159145,0.152132,0.162753,0.157113,0.21116,0.187635,0.183215,0.197043,0.17611,0.180002,0.167881,0.154523,0.143152,0.160107,0.137627,0.146307,0.138412,0.133804,0.13136,0.128948,0.125261,0.11968,0.127448,0.16433,0.131343,0.11219,0.098524,0.097922,0.087357,0.073418],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,37.5,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.166667,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,9.090909,4.444444,0.0,0.0,3.030303,0.0,0.0,0.0,5.263158,2.013423,0.0,4.444444,0.0,0.0,2.752294,0.0,0.0,0.990099,0.980392,0.680272,2.564103,1.37931,1.801802,4.385965,4.807692,0.0,1.973684,0.0,1.459854,0.571429,2.222222,1.102941,0.904977,2.162162,1.311475,2.702703,2.991453,2.489627,0.542005,1.271186,1.481481,2.710027,0.813008,2.764977,0.43956,0.829876,1.248266,1.158645,0.764331,0.704225,0.972763,0.745033,1.245902,1.18624,0.995438,1.205757,0.927988,0.750691,0.951146,1.581325,1.075654,1.309486,0.90812,1.710288,1.039771,0.996293,1.024627,0.717664,1.00981,0.74107,0.82177,0.787595,0.725541,0.862253,0.576297,0.756093,0.953147,0.968598,0.863653,0.76325,0.836749,0.717875,0.803851,0.798403,0.787529,0.708538,0.808087,0.742298,0.786103,0.735916,0.547398,0.665169,0.776691,0.658726,1.839033,0.593632,0.591308,0.600555,0.636035,0.545751,0.550869,0.506392,0.524815,0.559889,0.467634,0.466896,0.430928,0.426247,0.343769,0.410431,0.346712,0.322637,0.351778,0.30705,0.321307,0.328096,0.305737,0.308492,0.320369,0.29653,0.342611,0.23644,0.213639,0.293572,0.217605,0.222597,0.236676,0.236473,0.202939,0.17766,0.195406,0.1754,0.201368,0.184014,0.197433,0.174902,0.167646,0.168004,0.147013,0.135996,0.139116,0.202126,0.148974,0.190621,0.212029,0.168164,0.138985,0.141308,0.14275,0.144813,0.150676,0.16566,0.148662,0.160345,0.145826,0.146564,0.177451,0.163549,0.163494,0.16158,0.172054,0.17047,0.19259,0.172114,0.190235,0.214234,0.198977,0.209504,0.223965,0.245803,0.302715,0.29644,0.220645,0.264779,0.267886,0.246129,0.260203,0.281305,0.260017,0.317827,0.235022,0.255083,0.24308,0.284484,0.267566,0.297213,0.296065,0.288563,0.304589,0.304167,0.281542,0.286341,0.298263,0.36776,0.299719,0.250368,0.231146,0.239855,0.206819,0.179609],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.122449,0.917431,1.818182,2.12766,0.990099,1.960784,0.0,0.512821,0.0,0.45045,0.0,0.0,0.0,1.315789,0.0,0.729927,0.571429,0.0,0.735294,0.904977,0.540541,0.655738,1.801802,0.42735,0.829876,0.542005,0.0,0.0,0.271003,0.271003,1.152074,0.07326,0.414938,0.832178,0.178253,0.127389,0.264085,0.194553,0.082781,0.459016,0.177936,0.290336,0.233372,0.111359,0.15804,0.216169,0.150602,0.250986,0.191632,0.267094,0.233221,0.129971,0.185357,0.197735,0.228348,0.230814,0.251964,0.255961,0.295348,0.136039,0.202257,0.10649,0.106743,0.183739,0.172744,0.171506,0.224205,0.176457,0.171186,0.20698,0.204469,0.170496,0.160942,0.186729,0.197521,0.200206,0.173406,0.191155,0.168452,0.256098,0.208198,0.130371,0.225678,0.242374,0.166396,0.251981,0.222343,0.204335,0.236531,0.286087,0.244253,0.235435,0.245268,0.20279,0.204395,0.182267,0.155163,0.139946,0.148449,0.139424,0.143946,0.11405,0.113989,0.118307,0.105443,0.102673,0.069364,0.071763,0.061299,0.071055,0.0817,0.094296,0.0774,0.064214,0.072201,0.061629,0.060277,0.066323,0.046688,0.043547,0.039431,0.047585,0.037367,0.037097,0.034381,0.031194,0.027984,0.026088,0.028331,0.023836,0.02849,0.054254,0.028382,0.01973,0.023771,0.019554,0.020169,0.018199,0.019201,0.02194,0.017808,0.018506,0.017571,0.018861,0.018562,0.020228,0.018867,0.019619,0.024296,0.021649,0.020756,0.024959,0.0231,0.022114,0.023603,0.023736,0.025385,0.028003,0.032724,0.030143,0.030296,0.03097,0.027051,0.031839,0.032524,0.032242,0.034051,0.034537,0.033208,0.031677,0.03486,0.032512,0.034709,0.036138,0.036544,0.037199,0.038821,0.035362,0.036376,0.040054,0.046017,0.043096,0.043532,0.040579,0.039928,0.035115,0.03332],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.271003,0.0,0.07326,0.207469,0.138696,0.445633,0.0,0.0,0.097276,0.165563,0.262295,0.059312,0.0,0.077791,0.111359,0.11853,0.043234,0.075301,0.179276,0.127755,0.133547,0.207308,0.155966,0.046339,0.125831,0.212037,0.072129,0.10375,0.026943,0.123062,0.102029,0.053225,0.075169,0.115638,0.040193,0.055525,0.098003,0.062014,0.034153,0.044177,0.033694,0.102235,0.052773,0.025515,0.035414,0.057345,0.11188,0.080359,0.073855,0.073428,0.071372,0.061436,0.062301,0.066232,0.068951,0.063116,0.050396,0.071523,0.087231,0.063433,0.081187,0.048163,0.058252,0.050974,0.068079,0.065465,0.056141,0.077224,0.063039,0.055668,0.060596,0.061099,0.057893,0.09469,0.07577,0.061271,0.068706,0.065029,0.094913,0.05838,0.046896,0.062154,0.050775,0.04481,0.049537,0.040627,0.059554,0.054461,0.038504,0.041092,0.041839,0.0379,0.03547,0.046264,0.038608,0.03189,0.034477,0.027753,0.03261,0.038066,0.033089,0.037869,0.043256,0.030972,0.027888,0.029204,0.031241,0.031455,0.030502,0.027715,0.029289,0.03184,0.029504,0.029111,0.03063,0.030468,0.031439,0.030277,0.033123,0.033127,0.033687,0.037169,0.038085,0.035394,0.031572,0.038954,0.04128,0.042332,0.040455,0.05165,0.078385,0.054106,0.048423,0.05058,0.05175,0.058239,0.049374,0.050898,0.054827,0.066546,0.057154,0.060064,0.057659,0.057643,0.08709,0.071886,0.063846,0.060082,0.062923,0.05776,0.06356,0.09521,0.06846,0.057819,0.055399,0.060916,0.053791,0.045202],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,33.333333,0.0,0.0,0.0,0.0,0.0,1.5625,0.531915,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,9.090909,2.222222,0.0,0.0,0.0,0.0,7.692308,3.030303,5.263158,4.026846,0.0,0.0,0.0,0.0,0.917431,1.818182,2.12766,0.990099,1.960784,2.721088,1.538462,2.068966,0.45045,0.877193,0.961538,1.869159,1.973684,0.0,2.189781,1.714286,1.111111,0.735294,2.714932,1.621622,0.655738,2.252252,0.854701,1.659751,3.794038,2.118644,1.234568,3.252033,3.252033,1.612903,0.3663,1.452282,0.832178,0.713012,1.528662,0.96831,1.653696,0.745033,1.04918,1.008304,0.497719,1.08907,0.853749,0.908732,1.080847,1.016566,1.003944,0.574896,0.88141,0.75149,1.429685,0.625579,1.006651,1.076496,1.154068,0.726249,1.118146,1.119862,0.714205,1.021929,0.369582,0.889521,0.780891,0.666297,0.710523,0.677384,0.757058,0.773096,0.871239,0.681564,0.85248,0.683023,0.78877,0.882475,0.892095,0.790898,0.860196,0.84226,0.919434,1.010273,1.605981,1.071972,0.904722,0.881706,0.846309,0.908031,1.087398,0.704218,0.92785,0.76888,0.686888,0.610216,0.587366,0.524444,0.539111,0.543428,0.523851,0.53693,0.487985,0.58614,0.481092,0.493351,0.475887,0.488031,0.504871,0.472541,0.5062,0.462955,0.407382,0.420616,0.353845,0.356155,0.369822,0.367848,0.343419,0.322537,0.319061,0.335931,0.358763,0.319152,0.347063,0.335151,0.326041,0.342485,0.314996,0.261029,0.327537,0.394414,0.30226,0.3251,0.350412,0.268921,0.276735,0.274782,0.258556,0.28299,0.28878,0.277303,0.290792,0.296991,0.296023,0.283278,0.563476,0.294146,0.301416,0.307796,0.318908,0.297064,0.358397,0.288873,0.338869,0.317242,0.305087,0.32184,0.339302,0.362709,0.320747,0.320511,0.307979,0.356002,0.436087,0.404326,0.418963,0.424272,0.398008,0.419922,0.383382,0.354761,0.359145,0.399651,0.3382,0.337567,0.363144,0.346161,0.345941,0.32996,0.313357,0.321167,0.352661,0.459279,0.349273,0.29829,0.253192,0.261219,0.237674,0.205099],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,2.702703,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.512821,0.0,1.351351,0.0,1.923077,0.0,0.0,0.52356,0.0,1.714286,0.0,0.735294,2.262443,0.540541,0.327869,1.351351,1.709402,0.0,2.439024,0.423729,0.493827,0.271003,0.0,1.152074,0.14652,0.414938,0.0,0.089127,0.764331,0.264085,0.680934,0.248344,0.065574,0.118624,0.456242,0.311163,0.334076,0.23706,0.345871,0.263554,0.143421,0.095816,0.240385,0.155481,0.18196,0.162187,0.143807,0.440385,0.288517,0.326071,0.175131,0.283042,0.238068,0.276772,0.194187,0.20459,0.149288,0.197421,0.16538,0.195583,0.136612,0.143575,0.245487,0.311572,0.117723,0.078508,0.135218,0.140176,0.179597,0.1438,0.169433,0.151175,0.2519,0.157002,0.601089,0.100574,0.129545,0.130056,0.152926,0.136827,0.133834,0.07526,0.090852,0.103205,0.127831,0.096039,0.091255,0.066919,0.089211,0.077939,0.080689,0.065844,0.06435,0.082847,0.061946,0.069359,0.058489,0.071958,0.046318,0.071965,0.06096,0.065386,0.066792,0.055118,0.073481,0.062269,0.07365,0.072421,0.070136,0.071734,0.050378,0.053563,0.063186,0.062912,0.056098,0.058824,0.058053,0.088445,0.060148,0.046159,0.049962,0.061194,0.050433,0.079657,0.098793,0.056481,0.043165,0.059489,0.049812,0.12015,0.047307,0.052629,0.051396,0.051116,0.047727,0.046617,0.081016,0.05611,0.074455,0.055536,0.05592,0.052893,0.066538,0.049055,0.075667,0.051102,0.065601,0.047897,0.074896,0.051813,0.067691,0.058538,0.047715,0.125651,0.072655,0.121213,0.100731,0.068825,0.08956,0.105888,0.099345,0.071447,0.074486,0.076457,0.065066,0.069826,0.076751,0.078284,0.065894,0.073761,0.06149,0.065011,0.0767,0.117553,0.090433,0.075022,0.06346,0.072829,0.056092,0.054272],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,1.351351,0.0,0.0,1.869159,1.315789,0.52356,0.729927,0.0,0.0,0.735294,0.904977,1.081081,0.327869,0.900901,1.282051,0.414938,1.084011,0.0,0.246914,0.542005,0.542005,0.460829,0.14652,0.207469,0.277393,0.0,0.382166,0.264085,0.194553,0.165563,0.196721,0.415184,0.456242,0.038895,0.185598,0.276571,0.216169,0.301205,0.322696,0.159693,0.240385,0.414615,0.233949,0.208526,0.341542,0.309901,0.245239,0.266785,0.269433,0.184593,0.294751,0.223547,0.125282,0.20459,0.252641,0.289962,0.226632,0.276678,0.199226,0.204318,0.197353,0.267757,0.243566,0.18842,0.225363,0.181592,0.297365,0.152259,0.286732,0.18141,0.344263,0.221851,0.481102,0.26738,0.296699,0.262025,0.295426,0.349841,0.336974,0.260184,0.306384,0.309616,0.253234,0.206853,0.234657,0.189847,0.189958,0.166604,0.191007,0.169998,0.158193,0.164658,0.172522,0.206266,0.166162,0.195925,0.169834,0.140462,0.192912,0.12902,0.126478,0.130954,0.10691,0.110571,0.10615,0.108411,0.101884,0.106455,0.08566,0.074669,0.084817,0.073248,0.087639,0.079025,0.066454,0.0676,0.059029,0.05441,0.055228,0.059958,0.053776,0.061515,0.072656,0.052862,0.049145,0.050154,0.051863,0.048463,0.053373,0.055564,0.053594,0.053423,0.049314,0.050128,0.053603,0.051881,0.050472,0.050207,0.054099,0.056238,0.055749,0.053972,0.060119,0.063837,0.06301,0.063491,0.068418,0.069412,0.083649,0.081465,0.07957,0.076749,0.075948,0.074361,0.075104,0.095236,0.084471,0.088502,0.077375,0.087591,0.08459,0.090297,0.082522,0.090673,0.090862,0.088281,0.091561,0.088109,0.084643,0.091158,0.092286,0.097575,0.089973,0.072024,0.066337,0.069131,0.060024,0.047572],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025913,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.011337,0.0,0.0,0.035581,0.005742,0.0,0.0,0.00477,0.005692,0.005522,0.0,0.0,0.004059,0.001963,0.0,0.006372,0.002944,0.0,0.021722,0.012958,0.033587,0.030718,0.014998,0.019624,0.014626,0.019126,0.019116,0.012439,0.022704,0.010751,0.012565,0.012041,0.008091,0.019208,0.015209,0.012366,0.010767,0.030747,0.01639,0.01257,0.011797,0.017087,0.018526,0.015681,0.012628,0.010687,0.013896,0.016474,0.016976,0.012844,0.012316,0.019936,0.011984,0.008438,0.007339,0.014131,0.018675,0.014981,0.020864,0.012312,0.0148,0.012633,0.013642,0.015805,0.020578,0.019516,0.023059,0.019271,0.020643,0.019522,0.018119,0.022149,0.021775,0.021464,0.024638,0.024312,0.020256,0.022468,0.023629,0.024421,0.029372,0.025911,0.036377,0.031598,0.035592,0.034157,0.039617,0.043151,0.041012,0.039971,0.050183,0.04668,0.053964,0.054131,0.055757,0.063329,0.069755,0.075584,0.077598,0.079325,0.084661,0.095739,0.089527,0.091949,0.089455,0.09906,0.092885,0.092493,0.094963,0.089972,0.085979,0.08711,0.090233,0.081141,0.083095,0.078649,0.077842,0.074356,0.077186,0.07461,0.075692,0.07157,0.068838,0.068423,0.065761,0.063682,0.066217,0.066525],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.689655,0.0,0.0,0.0,0.934579,0.657895,0.0,1.459854,0.0,0.0,0.0,0.0,0.540541,0.0,0.0,0.0,0.0,0.271003,0.0,0.246914,0.0,0.271003,0.0,0.07326,0.207469,0.416089,2.317291,0.254777,0.440141,0.486381,0.496689,0.393443,0.59312,0.165906,0.388954,0.334076,0.316081,0.518807,0.225904,0.286841,0.351325,0.45406,0.233221,0.389914,0.278035,0.323566,0.473006,0.59146,0.592856,0.484979,0.467635,0.566829,0.62806,0.338261,0.63156,0.912954,0.555247,0.753399,0.624911,0.76275,0.601911,0.938628,0.623144,0.702281,1.41315,0.659992,0.420529,0.476962,0.617493,0.373621,0.669489,0.495403,0.450527,0.200748,0.387578,0.513999,0.602467,0.590852,0.575293,0.647659,0.581652,0.568308,0.621812,0.598701,0.609477,0.585918,0.573906,0.537572,0.541998,0.535828,0.591401,0.591481,0.603745,0.561564,0.567534,0.580901,0.571388,0.574349,0.635545,0.522405,0.521335,0.476542,0.561343,0.586903,0.561002,0.550408,0.625517,0.69825,0.620047,0.58079,0.628532,0.617625,0.601553,0.626022,0.644658,0.621025,0.679572,0.65917,0.890406,0.69277,0.646402,0.618667,0.665523,0.64646,0.693554,0.675878,0.62319,0.640786,0.667973,0.625381,0.611649,0.599106,0.558156,0.594073,0.54528,0.546477,0.533502,0.510604,0.505183,0.472886,0.468938,0.427844,0.423428,0.411237,0.39342,0.364162,0.330364,0.324805,0.313131,0.29507,0.289065,0.281166,0.258802,0.234208,0.228833,0.201198,0.197698,0.191777,0.176528,0.177942,0.164893,0.168271,0.164787,0.160407,0.158979,0.155417,0.153187,0.151975,0.148494,0.145184,0.145216,0.138572,0.133211,0.134852,0.129318,0.131667,0.124427,0.124244,0.127192],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.255639,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.540541,0.0,0.0,0.0,0.0,0.0,0.0,0.987654,0.0,0.0,0.0,0.3663,0.207469,0.0,0.178253,0.0,0.0,0.0,0.745033,0.131148,0.118624,0.207383,0.155581,0.259837,0.03951,0.172936,0.263554,0.286841,0.159693,0.293803,0.181394,0.415909,0.301205,0.251663,0.195727,0.216388,0.163035,0.148188,0.172286,0.147376,0.170321,0.087697,0.151219,0.200965,0.647788,0.147005,0.143109,0.204918,0.149097,0.303249,0.126576,0.129902,0.198234,0.30263,0.162477,0.144266,0.203011,0.165088,0.224603,0.239305,0.163828,0.072684,0.171712,0.208943,0.246725,0.192896,0.20835,0.235404,0.202127,0.172039,0.241673,0.195791,0.232709,0.215102,0.232035,0.214568,0.208076,0.202984,0.182568,0.241848,0.177085,0.193363,0.175507,0.184107,0.175976,0.164431,0.156936,0.162046,0.164048,0.185217,0.16379,0.218551,0.165565,0.183207,0.216381,0.186961,0.19599,0.215082,0.20546,0.177176,0.204431,0.226355,0.23739,0.245522,0.228462,0.249176,0.225313,0.242272,0.263938,0.246013,0.252224,0.240695,0.257036,0.245076,0.24897,0.225686,0.224495,0.211534,0.207669,0.196813,0.199068,0.189676,0.180243,0.176885,0.171921,0.167839,0.168386,0.154013,0.156221,0.143826,0.152917,0.149954,0.145536,0.150814,0.144331,0.143764,0.143258,0.148217,0.142559,0.145504,0.145856,0.131235,0.144061,0.13268,0.13081,0.128037,0.155456,0.141975,0.13938,0.139794,0.145573,0.142566,0.13915,0.14419,0.143849,0.144595,0.148727,0.150031,0.152881,0.158161,0.153853,0.151005,0.157144,0.153069,0.151473,0.158704,0.162195],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.961538,0.934579,0.0,0.0,0.729927,0.0,0.0,0.367647,0.452489,0.540541,0.0,0.0,0.0,0.0,1.355014,0.0,0.0,0.271003,0.542005,0.0,0.07326,0.414938,0.0,0.0,0.0,0.0,0.097276,0.248344,0.065574,0.059312,0.290336,0.116686,0.148478,0.0,0.302637,0.112952,0.322696,0.159693,0.133547,0.336875,0.077983,0.139018,0.125831,0.065242,0.158684,0.088928,0.148188,0.123062,0.136039,0.117096,0.175395,0.177904,0.189481,0.172744,0.15313,0.133569,0.182149,0.220885,0.158845,0.180128,0.219209,0.465162,0.193168,0.19115,0.214927,0.219929,0.169433,0.211645,0.256098,0.191133,0.08999,0.215866,0.194317,0.153008,0.269359,0.209904,0.228234,0.220404,0.236795,0.19437,0.237862,0.189123,0.233208,0.259676,0.219951,0.228097,0.231982,0.260983,0.285284,0.275465,0.255888,0.28829,0.299091,0.275007,0.345072,0.456067,0.37039,0.402239,0.373749,0.329535,0.360783,0.43821,0.394459,0.422826,0.40484,0.395681,0.377242,0.392213,0.413695,0.418178,0.421932,0.413444,0.415433,0.439152,0.390666,0.343711,0.386833,0.374685,0.36529,0.350023,0.361556,0.403559,0.359554,0.360353,0.360653,0.358753,0.366002,0.348281,0.351441,0.325323,0.321614,0.314389,0.314603,0.311984,0.302453,0.309973,0.307887,0.310381,0.318299,0.31938,0.336751,0.331552,0.328218,0.310472,0.30182,0.296794,0.274883,0.268663,0.26441,0.267361,0.249851,0.247153,0.229252,0.24065,0.234296,0.22441,0.228539,0.219283,0.214607,0.215226,0.219776,0.212182,0.209981,0.20209,0.212552,0.192642,0.194471,0.190915,0.176469,0.173305,0.173797,0.173224,0.172879,0.163568,0.164397,0.167034],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,26.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.459854,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.138696,0.178253,0.0,0.96831,0.097276,0.0,0.196721,0.0,0.041477,0.038895,0.03712,0.03951,0.043234,0.075301,0.07171,0.095816,0.053419,0.07774,0.077983,0.069509,0.08988,0.097863,0.057703,0.074107,0.229018,0.061531,0.113366,0.053225,0.10649,0.01779,0.074644,0.10488,0.098003,0.062014,0.068306,0.10492,0.105897,0.068156,0.077129,0.131501,0.099804,0.146548,0.108936,0.088817,0.191155,0.069109,0.083967,0.092153,0.05884,0.098121,0.123276,0.156833,0.147713,0.146156,0.148173,0.127942,0.117914,0.156528,0.194982,0.163266,0.150644,0.230581,0.172269,0.160883,0.157596,0.162815,0.170527,0.198832,0.206679,0.204457,0.177461,0.171701,0.212293,0.222831,0.189053,0.267381,0.24964,0.278717,0.290771,0.282247,0.316878,0.319493,0.340099,0.334875,0.367234,0.358955,0.369863,0.416391,0.392574,0.415014,0.418642,0.413822,0.435068,0.572832,0.388808,0.375819,0.356036,0.370322,0.360713,0.366095,0.366087,0.347837,0.384927,0.41858,0.416121,0.450604,0.483941,0.489214,0.541552,0.559632,0.593972,0.616021,0.636385,0.631469,0.590261,0.603572,0.616287,0.636961,0.647883,0.638019,0.620084,0.606731,0.619322,0.601361,0.60328,0.620961,0.633232,0.673574,0.640394,0.661529,0.597652,0.603831,0.614879,0.573774,0.57429,0.574313,0.577881,0.587321,0.620624,0.613816,0.649219,0.664066,0.674938,0.707335,0.70942,0.746011,0.71837,0.716408,0.753069,0.75253,0.739,0.678922,0.634694,0.63514],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,12.5,0.0,0.0,9.574468,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.934579,0.0,1.04712,0.729927,0.571429,1.111111,0.0,0.452489,0.540541,0.0,0.45045,0.0,0.414938,0.271003,0.847458,0.246914,0.813008,0.271003,0.460829,0.07326,0.0,0.277393,0.802139,0.509554,0.704225,0.291829,0.745033,0.327869,0.415184,0.580672,0.388954,0.334076,0.23706,0.259403,0.338855,0.824668,0.511019,0.400641,0.932884,0.54588,0.393883,0.701061,0.473006,0.548182,0.474285,0.767884,0.738371,0.668858,0.681286,0.776748,0.667141,1.045016,1.005614,0.888154,0.529504,0.984745,0.662654,0.933815,0.929848,1.051392,1.120707,0.985158,0.981235,1.027528,1.649467,1.103484,1.481513,1.288887,1.409604,0.538788,1.341804,1.416632,1.45931,1.482344,1.36982,1.172239,1.347152,1.547383,1.457776,1.377821,1.314254,1.290612,1.350752,1.262795,1.342839,1.285987,1.448573,1.333648,1.502113,1.395804,1.650734,1.565242,1.549587,1.516157,1.691609,1.594994,1.485776,1.512998,1.407267,1.343476,1.242758,1.233177,1.242645,1.318271,1.294203,1.202459,1.321659,1.253892,1.420937,1.332699,1.3988,1.418098,1.444184,1.440502,1.666569,1.433109,1.383513,1.409999,1.391637,1.340355,1.438374,1.396286,1.372471,1.38277,1.400031,1.371547,1.332856,1.396784,1.349432,1.38221,1.437001,1.406008,1.360866,1.357542,1.372911,1.368992,1.357728,1.343298,1.389428,1.327436,1.340091,1.352535,1.306442,1.307602,1.255281,1.232289,1.238372,1.282815,1.240803,1.179383,1.146627,1.034883,1.042499,1.06487,0.942288,0.957289,0.932735,0.910495,0.873157,0.878153,0.836741,0.823143,0.786335,0.749406,0.733491,0.712733,0.715372,0.682059,0.646784,0.652746,0.627163,0.61628,0.573701,0.564831,0.575913],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.877193,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.542005,0.0,0.0,0.622407,0.416089,0.26738,0.382166,0.264085,0.583658,0.662252,0.262295,0.29656,0.497719,0.272268,0.296956,0.474121,0.518807,0.376506,0.215131,0.351325,0.267094,0.207308,0.389914,0.324374,0.269639,0.375143,0.317369,0.414999,0.309848,0.196899,0.317424,0.425804,0.238036,0.435866,0.83831,0.512061,0.679897,0.505653,0.47245,0.237451,0.529483,0.394333,0.487132,1.142296,0.650333,0.525662,0.550567,0.731687,0.430098,0.626296,0.449221,0.556333,0.268817,0.618162,0.555788,0.856842,0.83762,0.704346,0.653634,0.621432,0.623399,0.711257,0.628636,0.571061,0.654721,0.616094,0.632167,0.562734,0.553479,0.502212,0.56735,0.607887,0.599773,0.566931,0.647365,0.675406,0.676249,0.704909,0.71686,0.65269,0.6376,0.655552,0.700752,0.657606,0.665732,0.682483,0.770461,0.710464,0.628115,0.750688,0.659891,0.71704,0.659856,0.682025,0.667185,0.688375,0.654767,0.863634,0.597273,0.576399,0.566005,0.572436,0.561964,0.583431,0.55347,0.5408,0.555884,0.525041,0.505255,0.491246,0.488505,0.459261,0.469414,0.428136,0.438198,0.41342,0.39161,0.383939,0.361301,0.342575,0.322627,0.316337,0.297919,0.279614,0.257666,0.244652,0.232222,0.241408,0.209341,0.212141,0.211794,0.205568,0.197655,0.189771,0.173607,0.17629,0.17103,0.162023,0.159788,0.159248,0.151211,0.150798,0.152837,0.147623,0.146761,0.140593,0.140545,0.13781,0.13086,0.127208,0.119533,0.115987,0.113744,0.110076,0.110065,0.104509,0.101604,0.102975],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.0,0.082781,0.0,0.059312,0.0,0.0,0.03712,0.0,0.043234,0.037651,0.035855,0.031939,0.0,0.025913,0.051989,0.046339,0.08988,0.016311,0.057703,0.088928,0.08083,0.049225,0.056683,0.02129,0.037585,0.080057,0.080386,0.018508,0.067377,0.033392,0.028461,0.038655,0.057762,0.048683,0.077129,0.031403,0.06117,0.057345,0.023554,0.063441,0.052133,0.082066,0.041983,0.051196,0.042688,0.093215,0.058504,0.066941,0.064299,0.045091,0.058552,0.066659,0.06089,0.042142,0.039644,0.042109,0.021727,0.050917,0.041529,0.034322,0.055474,0.038908,0.043972,0.050226,0.031841,0.027743,0.033897,0.036335,0.050178,0.032948,0.022378,0.037363,0.034106,0.035963,0.029329,0.043355,0.049537,0.041951,0.032786,0.033664,0.039013,0.024783,0.032162,0.037517,0.029031,0.031087,0.025015,0.029897,0.029701,0.024637,0.038534,0.038272,0.045346,0.035535,0.038381,0.036081,0.034421,0.04103,0.038406,0.041565,0.043001,0.043868,0.046518,0.053957,0.053967,0.061051,0.05265,0.057515,0.060173,0.100213,0.058171,0.060341,0.089869,0.056116,0.059641,0.060768,0.06641,0.051321,0.047976,0.0532,0.047005,0.059062,0.056025,0.050054,0.056215,0.049148,0.055728,0.044789,0.058595,0.045604,0.048108,0.046069,0.047077,0.04876,0.046625,0.045216,0.041915,0.04527,0.041435,0.039337,0.040924,0.041709,0.039853,0.035872,0.035196,0.035118,0.031937,0.031566,0.031873,0.033872],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.941176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.45045,0.854701,0.0,0.0,0.0,0.246914,0.542005,0.0,0.230415,0.0,0.207469,0.138696,0.0,0.127389,0.176056,0.194553,0.331126,0.0,0.059312,0.12443,0.194477,0.074239,0.19755,0.086468,0.075301,0.179276,0.255509,0.080128,0.129567,0.233949,0.162187,0.233687,0.260969,0.216388,0.266785,0.889128,0.479941,0.260741,0.287418,0.306941,0.320228,0.344511,0.382504,0.330761,0.248056,0.301685,0.320283,0.259928,0.292099,0.21515,0.217861,0.347703,0.621237,0.341528,0.35104,0.595186,0.501037,0.47861,0.471006,0.175366,0.336064,0.451316,0.407383,0.344085,0.377828,0.264082,0.22578,0.345044,0.345738,0.332522,0.294765,0.51639,0.333142,0.352229,0.445468,0.352386,0.444748,0.373765,0.338118,0.404673,0.325684,0.431355,0.543602,0.399883,0.381501,0.470704,0.402823,0.371855,0.358853,0.342492,0.279919,0.400225,0.270918,0.240497,0.249746,0.251042,0.227205,0.206207,0.20558,0.190775,0.180241,0.160283,0.159284,0.163132,0.150651,0.168136,0.160557,0.153238,0.160678,0.172878,0.167845,0.172106,0.179997,0.169355,0.176294,0.160876,0.172337,0.176883,0.186541,0.193888,0.196416,0.189861,0.216523,0.182422,0.207621,0.165731,0.184741,0.196616,0.172643,0.174227,0.181484,0.184286,0.176047,0.180844,0.15736,0.165115,0.160432,0.168093,0.158583,0.168116,0.161244,0.147092,0.155046,0.158217,0.146064,0.153632,0.137791,0.138391,0.148146,0.142473,0.133517,0.132073,0.135446,0.149087,0.131321,0.121304,0.11405,0.109681,0.106378,0.104907,0.100705,0.098528,0.098271,0.090557,0.093053],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.503759,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.0,0.0,12.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.508772,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,6.25,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,10.784314,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,1.342282,0.0,2.222222,3.030303,0.0,0.0,3.636364,1.06383,0.990099,0.980392,2.040816,2.051282,0.0,0.45045,0.0,0.961538,0.934579,0.657895,1.570681,0.0,0.571429,1.111111,2.573529,2.714932,2.702703,1.311475,0.0,3.418803,0.414938,2.710027,0.423729,2.469136,1.626016,2.168022,1.152074,0.29304,1.037344,0.970874,0.623886,1.146497,0.528169,1.361868,0.993377,1.114754,2.016607,1.576109,1.166861,1.670379,0.671671,1.642888,1.317771,0.824668,0.95816,1.228632,0.82923,0.961788,1.042632,1.240338,1.141739,1.615695,1.319105,1.158561,1.316761,1.315044,1.277411,1.691305,1.174168,1.596233,1.505337,1.206664,1.101942,2.020719,1.579325,1.742479,1.996008,2.224568,1.664377,1.938122,2.656982,2.532018,2.207748,2.076636,2.816171,2.103363,3.26291,1.746735,2.499632,2.333891,2.42517,2.292159,2.218767,2.039768,2.192214,2.320592,2.343622,2.258072,2.318967,2.378435,2.223612,2.103377,2.180861,2.092881,2.060924,2.106381,2.014726,2.134521,1.995718,1.951401,1.812482,2.051908,2.011549,2.04332,2.166489,1.966329,1.990892,1.955924,1.773498,1.921711,1.846083,1.927087,1.845866,1.818021,1.839866,1.833805,1.823036,1.83594,1.800521,1.855713,1.876775,1.91057,1.947388,1.859912,1.806155,1.861427,1.858701,1.814341,1.835725,1.799199,1.759147,2.018275,1.914909,1.925405,1.947149,1.934843,1.990658,1.931799,1.922563,1.853279,1.916945,1.980919,1.941199,1.944959,1.99468,1.951563,1.936147,2.027018,2.015183,1.961283,1.958873,1.967488,1.885706,1.88125,1.936675,2.007257,2.018273,2.01662,2.009927,1.866217,1.882035,1.904733,1.788471,1.762008,1.758404,1.694557,1.666141,1.645844,1.627795,1.522146,1.480028,1.459619,1.398,1.376421,1.34496,1.32786,1.256293,1.223999,1.209324,1.169047,1.120177,1.116449,1.106617],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,21.052632,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,34.42623,3.125,37.234043,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,45.714286,12.5,15.686275,0.0,0.0,0.0,6.666667,30.769231,20.0,0.0,0.0,0.0,4.444444,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,2.684564,2.702703,0.0,6.060606,6.122449,0.917431,3.636364,0.0,2.970297,1.960784,2.040816,1.538462,0.689655,2.702703,1.754386,0.961538,0.934579,3.289474,4.188482,0.729927,1.142857,4.444444,2.205882,0.904977,1.081081,1.639344,1.351351,2.136752,2.074689,2.710027,2.118644,2.716049,6.775068,1.626016,2.073733,0.952381,2.282158,2.080444,5.347594,1.783439,3.34507,2.237354,3.311258,2.491803,1.957295,2.073828,4.2007,1.893096,2.449625,1.902291,1.920181,3.119398,1.916321,2.938034,2.798653,2.781388,2.085264,3.037929,2.609688,2.870744,2.801245,3.300552,2.781196,2.72078,3.033851,5.518667,3.460238,3.462333,3.053859,3.080975,3.577732,3.420993,3.202827,4.182912,3.437028,3.722497,5.619235,3.882682,3.233617,3.965847,4.284385,3.345208,4.142191,4.349469,3.996723,1.961327,3.456312,3.633514,3.763986,3.88746,3.6088,3.476089,3.956521,3.646644,4.007809,4.076019,4.053575,3.97975,4.306112,4.086781,4.318105,4.115159,4.59413,4.567221,4.379479,4.471667,4.650041,4.668475,4.845398,4.851858,5.03841,4.832823,5.178906,4.899481,5.018079,4.968968,5.046978,5.230189,5.784878,6.055167,6.326845,5.99194,6.531868,6.550523,7.01625,7.09634,7.32706,7.480717,8.078712,7.939067,8.013423,8.155873,8.233292,8.227109,8.388438,8.307169,9.115863,9.096334,9.039241,9.326098,9.149774,9.21548,9.182369,9.042762,8.902853,8.91282,8.867737,8.801709,8.594168,8.672845,8.721065,8.740099,8.877709,8.832279,8.927988,9.091437,9.148085,9.119463,9.027829,9.101498,9.009678,8.704555,8.89751,9.063996,9.007487,8.372805,8.435857,7.669078,7.865798,7.935891,7.374567,7.401098,7.265116,7.050612,6.863975,6.808136,6.596039,6.538771,6.328418,6.177248,6.007089,5.9828,5.96149,5.780038,5.631435,5.709954,5.728937,5.7478,5.526688,5.620907,5.796134],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07171,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.288517,0.0,0.026943,0.012306,0.0,0.0,0.03132,0.008895,0.0,0.012339,0.01225,0.014311,0.005692,0.011044,0.024067,0.014605,0.028416,0.015702,0.022536,0.019115,0.026498,0.016918,0.021722,0.012958,0.020992,0.020479,0.005769,0.029436,0.014626,0.013388,0.008689,0.013994,0.00717,0.025803,0.012565,0.00774,0.010518,0.012559,0.015209,0.012366,0.013074,0.012871,0.014499,0.011972,0.018232,0.026925,0.024315,0.027743,0.036556,0.044172,0.047862,0.069364,0.068677,0.102165,0.063476,0.099681,0.076635,0.070707,0.080727,0.076175,0.056649,0.070324,0.050887,0.048127,0.051089,0.040708,0.042783,0.040193,0.051257,0.039862,0.037686,0.047198,0.034405,0.049192,0.038854,0.042052,0.056673,0.056019,0.060847,0.067022,0.066528,0.075659,0.078861,0.080411,0.080873,0.084596,0.089938,0.086521,0.099206,0.099236,0.097689,0.106256,0.095865,0.087895,0.095223,0.093879,0.081058,0.081699,0.082311,0.079628,0.081189,0.081524,0.079168,0.077192,0.085388,0.086358,0.086998,0.092733,0.085654,0.089248,0.100816,0.103125,0.108493,0.117377,0.123148,0.129378,0.137477,0.149262,0.152159,0.158075,0.169232,0.17723,0.191897,0.197088,0.201264,0.214879,0.217179,0.220702,0.235474,0.236269,0.24235,0.261668],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,0.0,0.0,1.834862,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.900901,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.178253,0.0,0.0,0.0,0.0,0.131148,0.0,0.041477,0.038895,0.03712,0.07902,0.043234,0.037651,0.07171,0.127755,0.026709,0.051827,0.129971,0.069509,0.107855,0.081553,0.057703,0.044464,0.094301,0.086143,0.068019,0.053225,0.037585,0.026686,0.045935,0.166574,0.061252,0.081095,0.165073,0.044177,0.115523,0.116839,0.077129,0.05103,0.099804,0.092389,0.188429,0.164947,0.143366,0.172771,0.209916,0.174067,0.048456,0.142275,0.18387,0.177871,0.168567,0.152375,0.161317,0.179549,0.169139,0.208131,0.187701,0.180257,0.196272,0.209487,0.18765,0.218801,0.202984,0.220877,0.193049,0.198832,0.206679,0.190585,0.170814,0.15104,0.148219,0.134392,0.156644,0.152372,0.147321,0.16809,0.150747,0.139377,0.114537,0.130712,0.113297,0.129015,0.127726,0.121837,0.115983,0.119443,0.112304,0.127069,0.123469,0.122909,0.135894,0.105762,0.129363,0.123315,0.125284,0.151431,0.132335,0.159543,0.174154,0.160037,0.173429,0.183844,0.175406,0.178678,0.185047,0.175655,0.180106,0.170019,0.168423,0.194215,0.166132,0.181848,0.167285,0.168375,0.155682,0.157575,0.155701,0.146139,0.134074,0.139451,0.14403,0.145436,0.155747,0.160747,0.170302,0.159963,0.155661,0.172056,0.144075,0.145905,0.138063,0.126265,0.13034,0.126186,0.120462,0.116619,0.105777,0.112516,0.107402,0.09667,0.092957,0.08739,0.083575,0.081865,0.079587,0.076334,0.075824,0.073105,0.0732,0.066927,0.063632,0.063285],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.014426,0.014821,0.0,0.0,0.0,0.0,0.0,0.0,0.005742,0.0,0.018376,0.0,0.005692,0.005522,0.009627,0.009737,0.008119,0.0,0.019317,0.009557,0.0,0.008459,0.004344,0.008639,0.008397,0.003413,0.0,0.002453,0.002089,0.005738,0.0,0.001555,0.001195,0.004301,0.006766,0.0086,0.003236,0.003694,0.004345,0.008729,0.005383,0.005005,0.008825,0.006584,0.00429,0.005696,0.007526,0.013269,0.017945,0.022799,0.045546,0.019942,0.025464,0.018682,0.020843,0.026191,0.026806,0.020659,0.018347,0.012365,0.011413,0.010399,0.01798,0.012312,0.014373,0.018886,0.021064,0.018526,0.018596,0.021094,0.020522,0.017425,0.021301,0.017771,0.015939,0.015676,0.013123,0.012807,0.015049,0.015668,0.016885,0.016041,0.017196,0.01407,0.020035,0.016454,0.016038,0.018286,0.019204,0.014886,0.017314,0.016002,0.019328,0.015104,0.016536,0.017369,0.01389,0.014061,0.016888,0.015336,0.015696,0.014278,0.015397,0.014054,0.012845,0.013254,0.010812,0.011635,0.010542,0.01174,0.0118,0.012022,0.014004,0.013934,0.015495,0.01492,0.017416,0.015639,0.018262,0.017564,0.017656,0.020673,0.023054,0.024008,0.025493,0.025997,0.0257,0.026485,0.026531,0.025983,0.027419,0.028405],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,1.111111,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,0.246914,0.0,0.0,0.230415,0.0,0.0,0.0,0.26738,0.0,0.088028,0.194553,0.248344,0.065574,0.0,0.165906,0.038895,0.074239,0.03951,0.0,0.150602,0.107565,0.926222,0.106838,0.07774,0.077983,0.046339,0.0,0.081553,0.129833,0.029643,0.0,0.049225,0.03401,0.085161,0.344525,0.01779,0.06316,0.037016,0.030626,0.128798,0.011384,0.066265,0.129964,0.073025,0.121783,0.017664,0.083706,0.035044,0.070661,0.105735,0.043444,0.030235,0.054578,0.040957,0.513406,0.046607,0.056415,0.040164,0.048658,0.032652,0.027484,0.024728,0.044459,0.040422,0.052589,0.040632,0.029694,0.036369,0.028455,0.048622,0.028998,0.043697,0.029494,0.031067,0.044578,0.033171,0.03722,0.033485,0.033967,0.030347,0.040126,0.035612,0.023211,0.023845,0.02586,0.029098,0.024899,0.023404,0.021788,0.028729,0.022221,0.024943,0.026327,0.025012,0.027612,0.028051,0.027941,0.02998,0.025895,0.020021,0.030875,0.03034,0.03338,0.039718,0.119761,0.037748,0.038224,0.054266,0.045991,0.064268,0.052517,0.064929,0.062827,0.061354,0.065511,0.069942,0.083459,0.07971,0.08346,0.08241,0.088301,0.103998,0.101866,0.114857,0.122477,0.123882,0.134363,0.138173,0.154994,0.157015,0.157724,0.152426,0.17614,0.192215,0.22855,0.260553,0.269759,0.331186,0.322918,0.316113,0.335908,0.372791,0.395115,0.416461,0.445809,0.460608,0.469422,0.440521,0.44514,0.436134,0.426244,0.412373,0.417873,0.406194,0.40695,0.414358,0.4285,0.46612,0.432642,0.373463],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.026709,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.006264,0.0,0.0,0.0,0.0,0.023852,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.006372,0.0,0.0,0.008689,0.004319,0.004198,0.0,0.004615,0.004906,0.0,0.0,0.001738,0.001555,0.0,0.0,0.0,0.00172,0.000809,0.0,0.0,0.000727,0.0,0.000715,0.001891,0.001197,0.0,0.000518,0.0,0.0,0.000665,0.004275,0.001544,0.003468,0.003087,0.002335,0.00379,0.000391,0.000631,0.000873,0.003931,0.002208,0.001245,0.003172,0.002884,0.000959,0.002135,0.00268,0.001637,0.001361,0.002077,0.003986,0.001493,0.00225,0.001675,0.002318,0.002132,0.002994,0.004729,0.002874,0.003413,0.002671,0.003006,0.00256,0.003522,0.003764,0.003203,0.003051,0.00423,0.004746,0.004186,0.003633,0.003859,0.004004,0.003979,0.003916,0.00467,0.004509,0.004297,0.004154,0.004335,0.00438,0.004746,0.005481,0.004739,0.00469,0.004906,0.004793,0.005311,0.006171,0.00619,0.006588,0.00703,0.007585,0.00819,0.009055,0.010354,0.011696,0.012464,0.013788,0.015938,0.017512,0.018559,0.019131,0.01924,0.021146,0.022501,0.02304,0.025797,0.028793,0.031614,0.035437,0.037171,0.037701],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.557377,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.097276,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.086468,0.0,0.0,0.063877,0.133547,0.0,0.0,0.046339,0.017976,0.0,0.0,0.014821,0.026943,0.024612,0.022673,0.095806,0.012528,0.026686,0.005742,0.018508,0.01225,0.028622,0.028461,0.016566,0.024067,0.009737,0.020297,0.015702,0.016097,0.003186,0.005888,0.038065,0.026067,0.017277,0.029388,0.034131,0.008076,0.014718,0.018805,0.013388,0.020854,0.027987,0.022704,0.025803,0.024163,0.019781,0.029126,0.016253,0.016658,0.026186,0.014612,0.037182,0.021433,0.020352,0.01716,0.015016,0.011579,0.016887,0.01861,0.020661,0.05867,0.027746,0.027008,0.018098,0.022264,0.023064,0.02523,0.019495,0.028307,0.02208,0.028013,0.025027,0.027479,0.033097,0.032589,0.033306,0.033942,0.054847,0.050501,0.054313,0.049253,0.04287,0.054689,0.054137,0.059783,0.072391,0.098096,0.073865,0.078854,0.079748,0.091224,0.098649,0.089794,0.093629,0.100155,0.096302,0.101183,0.104693,0.108771,0.113682,0.117458,0.12197,0.136831,0.140711,0.143937,0.166519,0.170008,0.177852,0.189,0.197144,0.211037,0.217417,0.207227,0.189134,0.18961,0.20123,0.195432,0.209437,0.282553,0.268937,0.263958,0.280136,0.305166,0.312033,0.330656,0.340839,0.354717,0.365597,0.364187,0.358074,0.351363,0.338919,0.305566,0.309727,0.312352,0.296949,0.278182,0.288549,0.27478,0.286448,0.27329,0.247895],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.264085,0.291829,0.0,0.0,0.059312,0.082953,0.0,0.03712,0.11853,0.0,0.0,0.035855,0.031939,0.133547,0.0,0.025994,0.0,0.071904,0.016311,0.0,0.014821,0.013472,0.024612,0.011337,0.053225,0.0,0.035581,0.068902,0.043186,0.01225,0.567667,0.022769,0.038655,0.038508,0.014605,0.040594,0.037291,0.06117,0.07646,0.073605,0.042294,0.030411,0.051831,0.058777,0.071675,0.032304,0.04906,0.07313,0.101368,0.059085,0.094846,0.066917,0.045156,0.072488,0.079124,0.056634,0.079047,0.059388,0.074921,0.092287,0.055058,0.051692,0.051478,0.055234,0.063688,0.087998,0.07539,0.105014,0.08407,0.078741,0.062427,0.066362,0.079981,0.05637,0.052773,0.045729,0.043646,0.039577,0.041731,0.049593,0.045649,0.051735,0.049087,0.042693,0.046195,0.043983,0.044798,0.038985,0.033468,0.039104,0.0341,0.042184,0.033121,0.040017,0.049141,0.060229,0.036223,0.039199,0.038689,0.040204,0.042114,0.042586,0.044227,0.043901,0.04063,0.040272,0.042602,0.04164,0.039663,0.042714,0.04265,0.046407,0.050129,0.052619,0.055197,0.05807,0.059265,0.061377,0.068399,0.07345,0.074844,0.076022,0.074368,0.079653,0.082047,0.088663,0.097042,0.113607,0.126398,0.130341,0.136131,0.152071,0.164479,0.171053,0.181449,0.187584,0.19955,0.197431,0.20322,0.20665,0.2056,0.198986,0.203489,0.207695,0.203085,0.208031,0.216366,0.210591,0.223381,0.212968,0.188991],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.460829,0.0,0.0,0.138696,0.0,0.0,0.0,0.097276,0.0,0.065574,0.0,0.0,0.038895,0.074239,0.07902,0.086468,0.112952,0.035855,0.0,0.053419,0.051827,0.051989,0.02317,0.0,0.032621,0.043278,0.029643,0.013472,0.012306,0.011337,0.010645,0.200451,0.080057,0.017226,0.0,0.030626,0.090636,0.011384,0.022088,0.009627,0.014605,0.032475,0.023553,0.006439,0.025487,0.023554,0.063441,0.034755,0.051831,0.02519,0.081914,0.01846,0.039248,0.045967,0.030602,0.045183,0.034207,0.023899,0.025803,0.03866,0.024081,0.021844,0.019208,0.023176,0.016002,0.026917,0.033607,0.025215,0.023345,0.024667,0.021229,0.022578,0.041012,0.030574,0.029923,0.029335,0.031214,0.037811,0.036196,0.039317,0.019936,0.031222,0.031134,0.026472,0.022742,0.02075,0.026966,0.02239,0.021266,0.024193,0.029095,0.021391,0.023655,0.028413,0.025329,0.025821,0.02533,0.030995,0.02967,0.031878,0.039982,0.077201,0.04268,0.041897,0.046342,0.050683,0.053426,0.059292,0.060627,0.07118,0.069839,0.065458,0.070511,0.065835,0.072018,0.070727,0.076768,0.076107,0.080952,0.080991,0.08165,0.081892,0.084206,0.086564,0.103459,0.106991,0.114049,0.102908,0.105129,0.114809,0.116176,0.119767,0.135567,0.13462,0.145151,0.156485,0.16477,0.173498,0.187305,0.201361,0.21416,0.229179,0.243349,0.251595,0.255268,0.276063,0.278955,0.26071,0.270638,0.276704,0.289191,0.290255,0.30487,0.332582,0.365971,0.366471,0.348265],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,50.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.0,0.0,1.111111,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.178253,0.127389,0.088028,0.0,0.0,0.0,0.118624,0.082953,0.0,0.0,0.03951,0.0,0.075301,0.0,0.031939,0.026709,0.025913,0.025994,0.092678,0.035952,0.032621,0.014426,0.044464,0.040415,0.061531,0.022673,0.031935,0.281884,0.035581,0.034451,0.030847,0.024501,0.205123,0.045537,0.071788,0.038508,0.043815,0.020297,0.019627,0.051512,0.050973,0.047107,0.063441,0.052133,0.030235,0.054578,0.054609,0.06807,0.044154,0.062683,0.042077,0.033018,0.05442,0.039433,0.063433,0.057991,0.047302,0.038026,0.056146,0.048525,0.049462,0.039222,0.076509,0.035932,0.037711,0.039146,0.03521,0.041104,0.045837,0.044531,0.063408,0.048634,0.071965,0.06096,0.067137,0.055423,0.053163,0.056136,0.047429,0.054255,0.049679,0.044613,0.04512,0.044441,0.054683,0.051089,0.061125,0.058717,0.054428,0.049369,0.045593,0.050522,0.043678,0.053253,0.049244,0.057652,0.08974,0.148097,0.070246,0.071508,0.080979,0.090353,0.087546,0.106476,0.105616,0.12467,0.12391,0.124024,0.133398,0.12936,0.135536,0.133617,0.141475,0.142597,0.146898,0.146553,0.165786,0.170277,0.178005,0.175437,0.206521,0.222144,0.230339,0.239757,0.245988,0.25768,0.267442,0.286724,0.304047,0.302887,0.338764,0.352208,0.360153,0.387988,0.420774,0.453585,0.488393,0.504947,0.539256,0.548543,0.565552,0.563985,0.561283,0.528629,0.525216,0.514041,0.511404,0.503383,0.501895,0.497687,0.504874,0.458023,0.415108],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,33.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.877193,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.271003,0.0,0.0,0.07326,0.0,0.277393,0.089127,0.0,0.264085,0.0,0.331126,0.196721,0.118624,0.788055,0.194477,0.185598,0.23706,0.086468,0.075301,0.179276,0.319387,0.45406,0.103654,0.207954,0.092678,0.08988,0.065242,0.17311,0.074107,0.107773,0.123062,0.181385,0.202257,0.200451,0.115638,0.177997,0.197421,0.202132,0.6106,0.142304,0.20984,0.187726,0.180128,0.243566,0.13739,0.167413,0.200707,0.262034,0.257994,0.191155,0.198687,0.12595,0.255981,0.178827,0.147181,0.196406,0.143445,0.192896,0.144601,0.156538,0.175248,0.179771,0.18233,0.210354,0.17878,0.161508,0.142567,0.116897,0.127276,0.107166,0.111935,0.096525,0.104594,0.097839,0.091674,0.08441,0.113993,0.115024,0.102312,0.082566,0.0829,0.081003,0.084436,0.08925,0.080309,0.091211,0.07198,0.071589,0.071734,0.08125,0.079146,0.08994,0.103492,0.080981,0.109589,0.112991,0.087116,0.085148,0.071835,0.114644,0.113116,0.103483,0.138045,0.234243,0.105901,0.115257,0.121198,0.123758,0.12386,0.136489,0.137543,0.149206,0.140421,0.147218,0.149669,0.139819,0.152749,0.160435,0.16123,0.163062,0.179936,0.185283,0.193046,0.210333,0.219401,0.229041,0.264367,0.282121,0.321451,0.313,0.318906,0.347115,0.355837,0.389221,0.430458,0.452332,0.524137,0.526208,0.540998,0.532751,0.591548,0.61361,0.667364,0.668527,0.682051,0.674262,0.685426,0.67449,0.673847,0.644395,0.646068,0.656716,0.638044,0.639244,0.647091,0.671445,0.720392,0.692515,0.645692],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.010645,0.0,0.01779,0.005742,0.006169,0.01225,0.014311,0.011384,0.005522,0.009627,0.009737,0.004059,0.009814,0.006439,0.012743,0.002944,0.004229,0.0,0.017277,0.016793,0.0,0.004615,0.002453,0.0,0.001913,0.001738,0.00311,0.00478,0.00215,0.001933,0.00086,0.001618,0.000739,0.000724,0.001455,0.000769,0.00143,0.003152,0.00419,0.002681,0.003107,0.004631,0.006634,0.004653,0.003562,0.005404,0.002601,0.003858,0.005254,0.006158,0.005864,0.002838,0.00582,0.002097,0.003754,0.006433,0.00564,0.00458,0.004797,0.005265,0.004594,0.003929,0.002826,0.002926,0.003903,0.00403,0.002654,0.003411,0.003554,0.003391,0.004139,0.008211,0.004186,0.003283,0.002821,0.004158,0.004441,0.006017,0.00708,0.007704,0.009094,0.009165,0.009346,0.010473,0.00999,0.010108,0.008958,0.00898,0.008051,0.007388,0.006634,0.006754,0.006315,0.006258,0.007826,0.007071,0.007773,0.007472,0.007086,0.007671,0.007934,0.009531,0.009488,0.009385,0.009709,0.010863,0.011402,0.011572,0.012216,0.014915,0.015055,0.016056,0.016456,0.016527,0.016902,0.017493,0.018959,0.018068,0.018979,0.017971,0.019605,0.018955,0.017885,0.017548,0.0179,0.017301,0.014764],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.127389,0.0,0.0,0.0,0.065574,0.0,0.0,0.0,0.0,0.0,0.0,0.037651,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.014426,0.029643,0.0,0.0,0.0,0.0,0.0,0.01779,0.0,0.0,0.01225,0.0,0.0,0.011044,0.0,0.0,0.008119,0.0,0.003219,0.003186,0.0,0.008459,0.0,0.0,0.0,0.0,0.001154,0.0,0.002089,0.001913,0.001738,0.001555,0.0,0.00215,0.003866,0.00172,0.0,0.001478,0.002173,0.0,0.000769,0.000715,0.0,0.001197,0.001609,0.001036,0.001158,0.001206,0.000665,0.0,0.001544,0.0,0.0,0.001168,0.0,0.001955,0.002208,0.001164,0.000786,0.000662,0.001453,0.000705,0.000848,0.000799,0.000712,0.000638,0.000982,0.000628,0.00085,0.001495,0.000746,0.000923,0.001436,0.000618,0.001211,0.001013,0.001283,0.001561,0.00117,0.0009,0.00118,0.00115,0.002104,0.00168,0.001424,0.00143,0.001198,0.001658,0.001296,0.00149,0.001391,0.001063,0.001334,0.001591,0.001781,0.001522,0.001702,0.002145,0.001373,0.001058,0.001377,0.001545,0.00145,0.001631,0.001921,0.001412,0.001311,0.00152,0.00179,0.001507,0.00188,0.002002,0.001612,0.001926,0.001946,0.00193,0.001857,0.001686,0.001719,0.002431,0.002403,0.002273,0.002462,0.003373,0.002255,0.002202,0.001848,0.001647,0.001294,0.001247,0.001076,0.000566],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.165563,0.262295,0.237248,0.041477,0.038895,0.0,0.0,0.0,0.037651,0.035855,0.127755,0.106838,0.103654,0.0,0.046339,0.017976,0.048932,0.057703,0.10375,0.040415,0.049225,0.056683,0.053225,0.03132,0.044476,0.034451,0.018508,0.073502,0.076325,0.113843,0.121487,0.09627,0.05842,0.085248,0.058881,0.077267,0.050973,0.044163,0.06767,0.073855,0.06047,0.067173,0.054609,0.028843,0.061326,0.075219,0.066941,0.11817,0.135272,0.149368,0.189225,0.126613,0.129007,0.097896,0.135193,0.13978,0.160752,0.141507,0.169464,0.161379,0.159822,0.148004,0.147571,0.187574,0.130274,0.175467,0.143203,0.11348,0.122254,0.132723,0.128436,0.145426,0.148936,0.168723,0.177786,0.15988,0.167143,0.166833,0.181009,0.196424,0.179238,0.191834,0.18261,0.182481,0.206199,0.207764,0.17581,0.180296,0.15769,0.174658,0.167254,0.179399,0.170498,0.163934,0.163623,0.185302,0.182218,0.151628,0.156047,0.184334,0.160306,0.15377,0.141641,0.149245,0.144711,0.146642,0.137622,0.137857,0.135545,0.134209,0.124543,0.128537,0.124284,0.123979,0.11461,0.109094,0.107427,0.105361,0.107073,0.104284,0.105268,0.104037,0.098759,0.090615,0.09153,0.082555,0.085818,0.084036,0.081974,0.085984,0.078125,0.079333,0.07297,0.069838,0.070145,0.070388,0.065302,0.064108,0.06195,0.058252,0.055546,0.054159,0.050082,0.046845,0.045509,0.043063,0.041259,0.042644,0.043173],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14652,0.207469,0.416089,0.178253,0.382166,0.440141,0.097276,0.082781,0.393443,0.355872,0.082953,0.233372,0.296956,0.19755,0.216169,0.225904,0.143421,0.159693,0.213675,0.051827,0.155966,0.185357,0.161783,0.260969,0.403924,0.340892,0.269433,0.332267,0.215395,0.372578,0.162866,0.40918,0.424897,0.438028,0.508392,0.46272,0.443989,0.690265,0.515042,0.477095,0.259804,0.429833,0.395995,0.273981,0.300309,0.342582,0.321488,0.164133,0.239305,0.211611,0.083068,0.237943,0.261178,0.240987,0.284999,0.275208,0.268862,0.294589,0.257092,0.221892,0.23948,0.217195,0.212205,0.2364,0.173807,0.2045,0.194789,0.177779,0.238094,0.206599,0.156312,0.170682,0.170149,0.41821,0.10962,0.073699,0.106487,0.124934,0.177164,0.14659,0.118264,0.129775,0.130525,0.144843,0.12056,0.151399,0.136716,0.163409,0.142452,0.136415,0.144828,0.138791,0.154997,0.175478,0.1794,0.147593,0.17035,0.180852,0.181288,0.164201,0.162247,0.166178,0.173536,0.16535,0.149745,0.149332,0.152291,0.155578,0.137294,0.135368,0.145791,0.13699,0.138031,0.138204,0.128078,0.132842,0.132735,0.12485,0.122871,0.126474,0.119977,0.134777,0.121922,0.115642,0.125163,0.122745,0.133244,0.146747,0.119018,0.116127,0.111122,0.114451,0.100859,0.113434,0.115434,0.127588,0.128672,0.138565,0.154748,0.148911,0.15613,0.165335,0.162504,0.167237,0.165286,0.17185,0.183034,0.188283,0.177881,0.174682,0.186887,0.18649,0.203395,0.211562,0.239801,0.266204],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03712,0.0,0.0,0.0,0.035855,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.012306,0.03401,0.031935,0.0,0.035581,0.005742,0.012339,0.006125,0.0,0.011384,0.011044,0.01444,0.004868,0.048713,0.013739,0.006439,0.015929,0.011777,0.012688,0.008689,0.017277,0.008397,0.013652,0.004615,0.017171,0.033431,0.024864,0.017378,0.018658,0.014339,0.020428,0.016431,0.014621,0.014563,0.01182,0.014485,0.013093,0.018457,0.012156,0.01576,0.020352,0.011261,0.015016,0.015052,0.016887,0.025921,0.017099,0.017755,0.028613,0.025464,0.028022,0.026527,0.032445,0.022391,0.021823,0.025162,0.023404,0.019713,0.018682,0.021881,0.017748,0.018643,0.017738,0.015498,0.01748,0.013593,0.015613,0.017388,0.013675,0.014719,0.013135,0.010319,0.012329,0.009714,0.009792,0.008581,0.009425,0.009215,0.010267,0.009491,0.009948,0.010405,0.011382,0.010963,0.01102,0.012485,0.011849,0.012431,0.013687,0.011555,0.011726,0.011846,0.011422,0.011156,0.01112,0.013258,0.011045,0.012205,0.012269,0.010807,0.010263,0.009349,0.008077,0.009304,0.009117,0.008837,0.007412,0.006777,0.007027,0.006462,0.005717,0.005524,0.005498,0.005463,0.004895,0.005747,0.00451,0.004526,0.004429,0.004242,0.003949,0.003687,0.003528,0.003782,0.003215,0.002973,0.003158,0.003022,0.002746],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.207469,0.0,0.26738,0.0,0.0,0.0,0.248344,0.327869,0.118624,0.12443,0.077791,0.111359,0.15804,0.216169,0.112952,0.107565,0.223571,0.133547,0.103654,0.129971,0.046339,0.179759,0.212037,0.288517,0.2075,0.24249,0.184593,0.170049,0.159676,0.087697,0.160114,0.189481,0.283793,0.116379,0.109717,0.193534,0.154619,0.264741,0.141181,0.125842,0.153091,0.231802,0.105132,0.064773,0.084588,0.0782,0.073428,0.083967,0.058022,0.025382,0.083403,0.091935,0.128144,0.154664,0.143046,0.107545,0.149445,0.12468,0.133307,0.096278,0.124112,0.128192,0.136021,0.12228,0.125846,0.099601,0.123907,0.127627,0.11495,0.111155,0.088055,0.112325,0.11328,0.071022,0.095375,0.064818,0.092241,0.068687,0.099291,0.082942,0.090203,0.069718,0.08589,0.079266,0.078607,0.083624,0.067794,0.077274,0.069292,0.093532,0.081642,0.079103,0.079808,0.082163,0.065661,0.0724,0.082313,0.083522,0.085513,0.078851,0.087417,0.105734,0.090103,0.084313,0.084986,0.081673,0.07696,0.065695,0.06715,0.064065,0.062254,0.063168,0.058267,0.056511,0.054561,0.055607,0.052641,0.049569,0.051885,0.049614,0.045333,0.04607,0.044039,0.047942,0.042853,0.046718,0.042682,0.041965,0.040686,0.0384,0.046068,0.030909,0.030857,0.030434,0.03253,0.027433,0.028142,0.024811,0.024299,0.024347,0.024025,0.023054,0.024137,0.023269,0.022517,0.023615,0.02278,0.021662,0.019951,0.018559,0.017173,0.016838,0.016112,0.015869,0.015709],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14652,0.0,0.0,0.0,0.127389,0.0,0.097276,0.0,0.131148,0.0,0.0,0.0,0.0,0.0,0.0,0.037651,0.0,0.063877,0.0,0.0,0.025994,0.0,0.017976,0.032621,0.0,0.029643,0.013472,0.012306,0.079356,0.04258,0.037585,0.044476,0.057418,0.030847,0.067377,0.023852,0.034153,0.016566,0.024067,0.019473,0.048713,0.078508,0.112681,0.082832,0.044163,0.054982,0.047789,0.025916,0.079768,0.020479,0.010383,0.036795,0.054325,0.068853,0.062561,0.059084,0.046603,0.093537,0.055091,0.061063,0.06877,0.069443,0.099222,0.135293,0.109975,0.155163,0.119773,0.107745,0.104568,0.114432,0.101313,0.117005,0.119636,0.131804,0.11734,0.118785,0.121149,0.130188,0.157742,0.137209,0.136871,0.141996,0.152542,0.166922,0.161023,0.191055,0.201173,0.184674,0.187422,0.185545,0.197433,0.204838,0.267044,0.224559,0.246414,0.220236,0.242631,0.275683,0.268541,0.237693,0.24579,0.264203,0.259085,0.246359,0.237345,0.254565,0.221245,0.217975,0.226939,0.212566,0.228151,0.206331,0.207605,0.188822,0.188474,0.189705,0.183539,0.182361,0.177935,0.169646,0.180712,0.157717,0.160746,0.164848,0.163299,0.164844,0.174267,0.164897,0.161168,0.17269,0.147035,0.148741,0.13495,0.132594,0.136331,0.156296,0.1373,0.137511,0.146366,0.12915,0.129289,0.129571,0.120869,0.128166,0.128302,0.125587,0.138222,0.143979,0.136694,0.130385,0.121741,0.117344,0.117934,0.109775,0.114772,0.119302],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.127389,0.088028,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03951,0.172936,0.0,0.035855,0.0,0.0,0.0,0.025994,0.069509,0.0,0.032621,0.0,0.0,0.0,0.012306,0.011337,0.02129,0.006264,0.053371,0.051677,0.018508,0.024501,0.014311,0.05123,0.016566,0.0,0.004868,0.044654,0.025515,0.025756,0.015929,0.014721,0.012688,0.030411,0.008639,0.02519,0.010239,0.001154,0.012265,0.022984,0.013388,0.013902,0.027987,0.016729,0.015052,0.009665,0.00774,0.022654,0.014036,0.013761,0.021094,0.011536,0.013586,0.020172,0.02095,0.032711,0.015016,0.014473,0.020506,0.013958,0.018524,0.013124,0.012139,0.012346,0.021601,0.015158,0.016027,0.020814,0.024151,0.025162,0.020976,0.022825,0.024675,0.019167,0.020306,0.0259,0.023225,0.024665,0.025749,0.027658,0.029482,0.030671,0.023022,0.02896,0.031473,0.02684,0.024042,0.023278,0.023486,0.023988,0.025062,0.026353,0.023643,0.024509,0.025743,0.025771,0.026921,0.026366,0.02248,0.026951,0.026083,0.023956,0.024772,0.027461,0.026359,0.02485,0.023484,0.023856,0.02347,0.022886,0.024184,0.023299,0.028129,0.030238,0.028467,0.028744,0.028058,0.02726,0.028633,0.026493,0.031059,0.030807,0.032903,0.031336,0.031948,0.032187,0.032838,0.035112,0.037335,0.041376,0.044467,0.047589,0.050823,0.053403,0.055916,0.05841,0.053925,0.055157,0.052883,0.058286,0.056797,0.0618,0.06095],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.45045,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.423729,0.246914,0.0,1.084011,0.230415,0.07326,0.0,0.0,0.178253,0.0,0.0,0.097276,0.082781,0.262295,0.29656,0.207383,0.194477,0.03712,0.11853,0.216169,0.188253,0.07171,0.159693,0.42735,0.103654,0.077983,0.185357,0.269639,0.146795,0.259665,0.385356,0.255961,0.344573,0.374107,0.479029,0.256828,0.400285,0.453606,0.394842,0.367512,0.286219,0.478142,0.36446,0.418773,0.384597,0.304457,0.47105,0.267216,0.261238,0.25909,0.334123,0.321488,0.367139,0.340065,0.293525,0.109604,0.309081,0.315504,0.365306,0.328444,0.315634,0.378797,0.344045,0.277388,0.304456,0.347085,0.378984,0.314324,0.39206,0.342231,0.391125,0.387057,0.385488,0.455811,0.460834,0.495565,0.498176,0.547668,0.565688,0.534206,0.589592,0.467618,0.579131,0.578862,0.551961,0.551897,0.57846,0.545428,0.534328,0.514817,0.581801,0.582995,0.539153,0.550881,0.547829,0.514046,0.536639,0.523987,0.48516,0.493874,0.399506,0.408374,0.406519,0.394939,0.411846,0.331093,0.355806,0.348145,0.318723,0.32649,0.332889,0.2981,0.315906,0.320687,0.304464,0.301011,0.304295,0.293656,0.295395,0.290666,0.28674,0.27532,0.254438,0.249013,0.245497,0.246465,0.224013,0.225886,0.217705,0.226597,0.227256,0.22766,0.208178,0.214101,0.205134,0.209905,0.196471,0.186079,0.188821,0.196842,0.18953,0.202068,0.195014,0.19264,0.193826,0.200018,0.208648,0.218424,0.21428,0.213171,0.21963,0.215423,0.210812,0.210452,0.212993,0.199163,0.197183,0.207055,0.20155,0.215176,0.217349],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.805861,0.0,0.138696,0.0,0.0,0.088028,0.0,0.082781,0.065574,0.0,0.082953,0.194477,0.185598,0.11853,0.172936,0.112952,0.250986,0.159693,0.240385,0.233221,0.207954,0.162187,0.197735,0.179416,0.216388,0.237142,0.215546,0.295348,0.170049,0.436449,0.206715,0.355809,0.442122,0.549078,0.630896,0.491342,0.55214,0.872494,0.654633,0.676695,0.479013,0.268891,0.457165,0.353627,0.220816,0.308746,0.460509,0.233241,0.306478,0.228677,0.122295,0.304175,0.309235,0.281151,0.352774,0.376273,0.299931,0.484889,0.35181,0.275214,0.241907,0.271125,0.333879,0.353509,0.329926,0.313901,0.285565,0.310665,0.327111,0.343296,0.364727,0.322065,0.373531,0.316329,0.304158,0.408379,0.277021,0.320507,0.359065,0.322499,0.348168,0.395727,0.370608,0.369614,0.341966,0.390041,0.384875,0.376543,0.387652,0.360115,0.373256,0.432075,0.395232,0.38949,0.42074,0.322766,0.381747,0.356142,0.383796,0.376047,0.351768,0.368543,0.412665,0.375211,0.35214,0.347049,0.343303,0.334816,0.311978,0.304121,0.316714,0.3067,0.296502,0.309132,0.312548,0.281286,0.299545,0.265353,0.263818,0.245571,0.263949,0.244333,0.227497,0.223914,0.231431,0.213643,0.23794,0.229131,0.207151,0.194168,0.167199,0.166974,0.147239,0.152146,0.145073,0.144669,0.134497,0.130514,0.122811,0.11359,0.110944,0.111346,0.108623,0.102385,0.10231,0.100509,0.098201,0.093972,0.088624,0.080495,0.076511,0.072866,0.073303,0.071276,0.073205,0.075213],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,2.702703,0.877193,0.961538,0.934579,0.657895,1.04712,0.0,0.0,1.111111,0.735294,0.0,1.081081,0.327869,0.45045,0.42735,0.829876,0.0,0.423729,0.246914,0.542005,0.271003,0.460829,0.43956,0.207469,1.248266,1.693405,1.528662,1.672535,2.626459,1.738411,0.721311,1.008304,1.078391,1.555815,0.927988,1.540893,1.167315,1.28012,1.290785,1.21367,1.308761,1.373413,1.09176,1.065802,1.312242,1.500571,1.255049,2.163925,1.414522,1.292149,1.247024,1.351927,0.864445,1.512186,1.154111,1.246221,1.549675,1.121023,1.428734,1.502016,1.756919,1.397206,1.177235,1.919529,1.497054,1.156456,1.05697,1.332262,1.190373,0.90273,1.078971,0.703096,0.259587,0.745719,0.944421,0.822416,0.85326,0.805411,0.781493,0.924622,0.736481,0.698356,0.686079,0.651586,0.621406,0.81176,0.699075,0.692155,0.634799,0.583021,0.719644,0.637401,0.566195,0.544616,0.531052,0.713166,0.391391,0.310403,0.31406,0.361957,0.535755,0.469089,0.576496,0.519392,0.545428,0.561707,0.605081,0.622162,0.685447,0.657312,0.653345,0.647876,0.671206,0.784706,0.717214,0.827479,0.854018,0.650264,0.799097,0.789343,0.787698,0.731397,0.693236,0.731409,0.771438,0.731632,0.724003,0.699793,0.712876,0.645883,0.614221,0.602504,0.579444,0.569563,0.595507,0.512372,0.511983,0.517757,0.551743,0.46205,0.462306,0.461562,0.457457,0.478671,0.428931,0.432779,0.482588,0.511912,0.531785,0.521565,0.472888,0.457776,0.416317,0.436323,0.378256,0.428121,0.422667,0.484931,0.421162,0.42032,0.434351,0.438577,0.444896,0.453782,0.434271,0.45599,0.446133,0.4534,0.45855,0.476302,0.471973,0.452152,0.441167,0.438418,0.440863,0.433871,0.462315,0.473538],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,4.255319,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,9.090909,2.222222,13.636364,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,6.060606,0.0,1.834862,0.0,13.829787,1.980198,0.980392,2.721088,1.025641,2.758621,0.45045,1.754386,0.961538,0.0,0.657895,0.0,0.729927,2.285714,0.0,1.470588,1.357466,1.621622,0.655738,2.252252,1.709402,1.659751,0.542005,1.271186,0.740741,0.813008,0.542005,0.921659,1.098901,2.282158,4.715673,3.921569,4.076433,3.257042,4.085603,5.794702,4.262295,3.973903,3.857321,3.500583,3.860431,3.476887,3.026373,4.329819,4.015776,3.672948,4.754274,3.861104,4.860931,4.471733,4.565882,6.78519,6.231968,6.758559,5.200054,5.045533,4.682009,5.130935,2.925332,5.870841,5.052825,4.966377,5.598432,3.863951,5.236794,5.439284,5.135981,5.793291,3.70626,7.430815,4.780915,3.5522,2.646842,3.675351,3.362586,2.34105,2.875855,2.054678,0.926439,2.600206,3.017133,2.616429,2.658835,2.529736,2.221399,2.251347,1.932054,2.10367,2.31147,1.984309,2.05542,2.086137,2.138754,2.071461,1.971217,1.911877,3.120425,1.969678,1.895422,2.11996,2.067714,2.854802,1.879757,1.6708,1.871243,2.03163,2.247234,2.221918,2.202543,2.427321,2.489156,2.717568,2.549599,2.592461,2.384054,2.683931,2.828124,2.869692,2.740704,3.06524,3.206318,3.369874,3.291446,2.815003,3.227022,3.556524,3.292694,3.102429,3.189375,3.36854,3.216677,3.176099,3.0761,2.936436,2.750212,2.838744,2.600795,2.563724,2.42809,2.31055,2.499648,2.238465,2.491983,2.170038,2.089308,1.854638,1.848238,1.763393,1.974782,1.970975,1.839235,1.9223,1.933954,2.335948,2.491991,2.10653,1.945898,1.842519,1.658049,1.808437,1.461119,1.615675,1.555462,1.706317,1.539927,1.560837,1.596167,1.575063,1.519987,1.533442,1.459097,1.488599,1.470701,1.394402,1.395505,1.361474,1.301209,1.196875,1.108544,1.070937,1.056709,0.989761,1.004322,0.985734],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,3.278689,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,20.0,0.0,12.5,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,3.333333,12.903226,0.0,0.0,0.0,3.333333,0.0,0.0,3.846154,6.060606,15.789474,6.711409,5.405405,11.111111,0.0,4.081633,0.917431,9.090909,2.12766,0.990099,1.960784,0.680272,2.564103,4.137931,2.702703,7.017544,5.769231,5.607477,2.631579,2.094241,4.379562,3.428571,4.444444,2.941176,4.072398,5.405405,2.295082,3.603604,6.410256,4.979253,2.168022,8.898305,3.950617,1.897019,2.439024,3.686636,1.904762,5.394191,9.292649,8.199643,12.738854,8.890845,10.700389,12.251656,9.377049,9.845789,9.66404,9.762738,9.948033,12.485184,10.76524,9.525602,8.784511,9.517726,9.455128,7.929515,8.50013,10.078777,11.001258,11.286903,11.526255,11.768193,9.942072,9.623431,9.568076,9.80413,5.881984,11.225761,10.364033,11.684866,9.910572,7.918714,9.238388,10.110995,10.589651,9.931357,7.33539,11.95682,8.663597,6.276084,5.055204,6.124175,7.107481,5.252246,5.525001,4.044507,1.641746,5.202865,5.750104,4.61509,5.164744,4.764052,4.755873,4.795132,3.768424,3.863322,3.908544,3.492856,3.791445,3.873319,3.403856,3.287738,2.974791,2.918096,3.819156,2.757239,2.583192,2.742981,2.455203,3.206042,1.968534,1.910105,1.911369,2.153061,2.261918,2.264527,2.147984,2.196869,2.218669,2.169991,2.050137,2.153422,2.018686,2.073787,1.989919,1.912235,1.850346,1.911366,1.910746,1.941303,1.916465,1.566288,1.709367,1.800076,1.77088,1.617925,1.536988,1.623177,1.531695,1.466956,1.324979,1.265224,1.217984,1.178465,1.078295,1.024071,1.004568,0.934941,0.871211,0.832771,0.814541,0.749724,0.732138,0.67825,0.670728,0.630067,0.656938,0.635488,0.598058,0.592446,0.586013,0.601963,0.689239,0.633492,0.574154,0.563933,0.491806,0.502005,0.425829,0.438163,0.412325,0.450669,0.403319,0.362195,0.345006,0.33,0.316739,0.312503,0.294046,0.280586,0.27005,0.253057,0.255671,0.24027,0.225267,0.20792,0.196389,0.17685,0.163584,0.155376,0.153254,0.147341],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,21.052632,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,1.111111,3.676471,0.452489,0.0,0.655738,0.0,0.0,0.0,0.0,0.423729,0.246914,0.0,0.271003,0.691244,0.512821,0.622407,0.832178,1.158645,1.401274,0.528169,0.583658,0.413907,0.655738,0.415184,0.705102,0.739012,1.113586,1.501383,0.432339,0.64006,0.824668,0.702651,1.095085,0.596009,0.805823,1.088971,1.006651,1.533192,1.226197,1.496962,0.9026,1.082944,1.371727,1.064509,0.876973,1.049635,1.159853,1.15368,1.120911,0.796642,0.876594,0.866972,1.020457,1.158658,0.779411,1.642787,0.978719,0.774157,0.647726,0.820504,0.829785,0.669489,0.684328,0.529028,0.268817,0.679488,0.933974,0.828153,0.896705,0.909586,0.94281,1.075142,0.911419,0.95379,0.947403,0.96482,1.028434,1.300562,1.312784,1.355709,1.253837,1.181604,1.465029,1.063543,1.176389,1.126022,1.158478,1.284554,1.117047,1.145369,1.186021,1.482273,1.511104,1.45613,1.55572,1.596876,1.710459,1.747166,1.740334,1.859261,1.740334,1.827554,1.793816,1.961875,1.833757,2.080407,2.150604,2.162622,2.145716,2.078768,2.21599,2.42742,2.328988,2.319204,2.135683,2.349726,2.262439,2.2021,2.079465,2.038325,1.966474,1.873818,1.820201,1.77752,1.730755,1.709519,1.623178,1.686955,1.646042,1.55053,1.491042,1.435839,1.389596,1.321064,1.316593,1.250117,1.171627,1.116728,1.108968,1.040803,1.073631,1.015653,0.918163,0.89336,0.834779,0.798565,0.690191,0.715222,0.712251,0.741374,0.675232,0.646941,0.630545,0.605811,0.59965,0.579032,0.568005,0.529463,0.498906,0.48328,0.472809,0.462626,0.425973,0.401313,0.369162,0.354017,0.346853,0.339748,0.340405,0.339801],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,20.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,1.360544,0.0,0.689655,2.252252,0.877193,0.0,0.0,0.0,9.947644,0.729927,1.142857,1.111111,0.0,0.452489,2.702703,1.967213,0.900901,5.982906,0.0,0.0,0.423729,0.493827,0.542005,8.401084,2.995392,0.21978,0.207469,0.693481,0.26738,0.382166,0.352113,0.486381,0.165563,0.590164,0.29656,0.331813,0.50564,0.408315,0.316081,0.302637,0.941265,0.717103,0.606835,0.373932,0.647836,0.623863,0.301205,0.467374,0.58718,0.331795,0.222321,0.377206,0.41841,0.374107,0.372578,0.808068,0.293542,0.200965,0.413351,0.392013,0.572437,0.580601,0.717875,0.312876,0.369992,0.884956,0.225711,0.263997,0.363185,0.42691,0.477923,0.577809,0.388735,0.386246,0.303765,1.01989,0.287004,0.336398,0.20656,0.288475,0.290756,0.274837,0.280612,0.244527,0.247693,0.233008,0.294765,0.326636,0.318594,0.35992,0.357518,0.26098,0.337601,0.337836,0.377988,0.354306,0.372727,0.365555,0.3776,0.37132,0.423119,0.395855,0.415667,0.403119,0.365889,0.385697,0.443156,0.445306,0.47648,0.460036,0.45825,0.475284,0.46976,0.492392,0.541066,0.484578,0.547316,0.586099,0.593286,0.620514,0.539713,0.638918,0.625643,0.710571,0.726378,0.738508,0.706468,0.726128,0.716265,0.726166,0.750137,0.767838,0.778989,0.766086,0.795165,0.801162,0.812417,0.777189,0.831792,0.801218,0.831783,0.90222,0.958422,1.054418,1.102113,1.19449,1.251153,1.280061,1.366413,1.416775,1.333553,1.362937,1.352405,1.344029,1.331754,1.280412,1.356276,2.070876,1.699679,1.652244,1.783672,1.843197,1.840107,1.812482,1.80254,1.79522,1.719087,1.729785,1.694077,1.718489,1.709567,1.685234,1.717562,1.852876,2.027896,2.087616,2.212938,1.974726,2.196357,2.171989,2.225336],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,1.37931,0.0,0.0,0.0,0.0,0.657895,0.52356,0.0,0.571429,0.0,0.0,0.0,0.0,1.967213,0.0,0.0,0.0,0.271003,0.423729,0.0,0.0,0.0,0.0,0.29304,0.0,0.0,0.178253,0.127389,0.264085,0.0,0.0,0.131148,0.0,0.041477,0.077791,0.0,0.07902,0.129702,0.225904,0.07171,0.127755,0.053419,0.07774,0.18196,0.301205,0.251663,0.032621,0.115407,0.163035,0.188603,0.184593,0.328761,0.117096,0.212979,0.115638,0.132062,0.123388,0.238883,0.15742,0.159381,0.215363,0.163658,0.219074,0.150199,0.147203,0.103023,0.172035,0.138378,0.148029,0.191155,0.177091,0.172131,0.13311,0.101528,0.159447,0.173422,0.149182,0.1425,0.15393,0.124274,0.165572,0.150776,0.211571,0.186083,0.197988,0.23176,0.279315,0.201494,0.220946,0.2282,0.263377,0.238094,0.250093,0.233888,0.2515,0.265194,0.258621,0.278683,0.392772,0.372705,0.341524,0.336327,0.336571,0.310639,0.353536,0.402846,0.458816,0.374752,0.432165,0.438646,0.453611,0.498511,0.526774,0.478248,0.51738,0.582512,0.536067,0.606633,0.563312,0.647714,0.65078,0.682714,0.775519,0.723442,0.788067,0.775631,0.763898,0.780502,0.753768,0.739611,0.722216,0.707467,0.663133,0.67222,0.657434,0.607351,0.611991,0.607519,0.628905,0.623094,0.632794,0.652802,0.669528,0.705736,0.676321,0.697383,0.712718,0.715676,0.732312,0.698946,0.711646,0.679254,0.651707,0.604266,0.631328,0.859973,0.733875,0.680064,0.714334,0.736901,0.722128,0.712128,0.696149,0.669851,0.671042,0.652465,0.636911,0.616901,0.593937,0.571631,0.545242,0.546891,0.523934,0.506324,0.494031,0.451248,0.451742,0.449171,0.452037],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.065574,0.0,0.041477,0.0,0.03712,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.046339,0.0,0.016311,0.0,0.014821,0.013472,0.0,0.011337,0.010645,0.006264,0.026686,0.0,0.006169,0.01225,0.0,0.017077,0.005522,0.0,0.004868,0.004059,0.001963,0.019317,0.015929,0.008833,0.004229,0.008689,0.021596,0.004198,0.017065,0.002307,0.007359,0.010447,0.013388,0.013902,0.015548,0.022704,0.013977,0.016431,0.013761,0.010518,0.013298,0.013761,0.018185,0.009998,0.011441,0.012608,0.011972,0.011797,0.016052,0.01621,0.018697,0.013293,0.017811,0.019299,0.013873,0.032409,0.019265,0.01658,0.018764,0.015138,0.018913,0.019657,0.019209,0.01992,0.020092,0.014757,0.013431,0.015085,0.015313,0.017899,0.026167,0.019445,0.014616,0.02388,0.015925,0.017352,0.01808,0.017828,0.027565,0.018989,0.022706,0.020997,0.023201,0.02006,0.019986,0.02106,0.020097,0.024201,0.024519,0.027688,0.027827,0.028545,0.03498,0.036742,0.049369,0.059204,0.066297,0.070504,0.0756,0.088646,0.088681,0.098471,0.093002,0.092174,0.102659,0.092892,0.102263,0.098126,0.096673,0.093174,0.100242,0.151948,0.129409,0.127296,0.127653,0.128524,0.121236,0.110742,0.10462,0.095475,0.087931,0.081479,0.077648,0.070405,0.066426,0.062512,0.057698,0.053947,0.047772,0.043296,0.041195,0.036459,0.039055,0.042474,0.042243],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.571429,0.0,0.0,0.0,0.0,1.639344,0.0,0.42735,0.0,0.0,0.423729,0.0,0.0,0.0,0.230415,0.14652,0.414938,0.138696,0.178253,0.0,0.0,0.0,0.165563,0.0,0.059312,0.0,0.077791,0.074239,0.434611,0.259403,0.451807,0.143421,0.031939,0.106838,0.07774,0.077983,0.254866,0.08988,0.114174,0.129833,0.10375,0.067358,0.15998,0.181385,0.447094,0.169131,0.142323,0.068902,0.129558,0.16538,0.176501,0.07969,0.127009,0.067389,0.082761,0.081189,0.060844,0.067609,0.082832,0.064773,0.109964,0.108611,0.090705,0.046182,0.078501,0.093451,0.066232,0.089845,0.089892,0.07125,0.115059,0.092011,0.137618,0.088919,0.128147,0.080096,0.103426,0.13471,0.09456,0.139969,0.178044,0.115361,0.142463,0.142106,0.149642,0.157469,0.165254,0.144893,0.117555,0.145131,0.150866,0.14507,0.172805,0.178585,0.145808,0.159577,0.16411,0.123711,0.148596,0.136745,0.140471,0.139261,0.133509,0.146152,0.160533,0.158034,0.168099,0.176047,0.18071,0.171415,0.148747,0.184531,0.175238,0.186521,0.201762,0.213678,0.208928,0.210168,0.213193,0.211554,0.222353,0.249105,0.236683,0.260394,0.261719,0.277517,0.289227,0.297426,0.323379,0.331844,0.346455,0.349177,0.401106,0.436228,0.451811,0.484639,0.527595,0.524322,0.570621,0.604185,0.596494,0.589516,0.59189,0.57648,0.616202,0.562454,0.592318,1.426294,1.035312,1.039136,1.135846,1.203943,1.157848,1.16104,1.141562,1.128567,1.058055,1.02805,0.986095,0.957934,0.902156,0.861974,0.831601,0.840295,0.781545,0.711292,0.695635,0.639816,0.638565,0.628456,0.613228],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.04712,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03951,0.0,0.037651,0.0,0.031939,0.026709,0.0,0.0,0.0,0.0,0.016311,0.0,0.0,0.053887,0.036919,0.022673,0.010645,0.0,0.008895,0.005742,0.0,0.036751,0.124028,0.0,0.0,0.0,0.004868,0.016238,0.003925,0.009658,0.028672,0.032386,0.008459,0.017378,0.017277,0.012595,0.020479,0.026536,0.017171,0.029252,0.040164,0.038232,0.026432,0.029874,0.025803,0.04156,0.022361,0.022654,0.021424,0.025349,0.019639,0.023072,0.021451,0.01702,0.014366,0.01716,0.016052,0.019684,0.015681,0.016616,0.012112,0.012352,0.02341,0.007716,0.013427,0.014685,0.015245,0.011038,0.013967,0.00996,0.017001,0.01245,0.008284,0.010517,0.011512,0.010816,0.012378,0.014625,0.0157,0.023788,0.014865,0.019104,0.013328,0.017651,0.015865,0.018022,0.020079,0.027237,0.02228,0.02285,0.021941,0.025398,0.029078,0.031725,0.029641,0.031759,0.032565,0.028587,0.028022,0.026817,0.027516,0.029995,0.029301,0.033146,0.035726,0.035519,0.034367,0.036505,0.034936,0.037362,0.037903,0.037182,0.036543,0.036484,0.031799,0.032704,0.030175,0.032955,0.033853,0.047699,0.044764,0.046859,0.050083,0.055888,0.058832,0.06176,0.065205,0.068235,0.071092,0.072575,0.07816,0.085249,0.095138,0.098034,0.102683,0.111854,0.131181,0.117661,0.123405,0.127426,0.139546,0.146432,0.152111],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.442177,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.189781,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.813008,0.0,0.0,0.0,0.542005,0.0,0.14652,0.207469,0.0,0.0,0.636943,0.176056,0.097276,0.0,0.262295,0.059312,0.207383,0.116686,0.074239,0.11853,0.043234,0.037651,0.07171,0.031939,0.026709,0.051827,0.103977,0.139018,0.197735,0.048932,0.100981,0.10375,0.24249,0.061531,0.056683,0.074516,0.081433,0.151219,0.097611,0.061694,0.061252,0.472261,0.056922,0.066265,0.077016,0.05842,0.07307,0.037291,0.05795,0.07646,0.064773,0.046523,0.065166,0.103663,0.067173,0.146763,0.215746,0.068685,0.114919,0.080329,0.097317,0.119723,0.118299,0.160196,0.090852,0.083424,0.123785,0.112291,0.13978,0.110562,0.139969,0.140147,0.118513,0.111935,0.112076,0.141875,0.108839,0.153192,0.107673,0.082645,0.135867,0.123121,0.123463,0.11676,0.091898,0.106718,0.113849,0.138505,0.102743,0.11923,0.142348,0.132892,0.10805,0.095295,0.094636,0.111276,0.107066,0.126964,0.126395,0.11394,0.112312,0.095953,0.11602,0.120843,0.126786,0.140379,0.149344,0.144678,0.146136,0.134495,0.147357,0.143872,0.152756,0.164047,0.165452,0.175521,0.169919,0.188825,0.167574,0.179102,0.168771,0.193496,0.2031,0.209334,0.228873,0.245404,0.267569,0.284909,0.329391,0.324889,0.356328,0.361579,0.424315,0.410703,0.441037,0.454337,0.414801,0.437522,0.968876,0.714837,0.670483,0.767123,0.802907,0.801046,0.797757,0.827018,0.831769,0.837329,0.838835,0.874199,0.901571,0.941237,0.968269,1.049119,1.149681,1.260404,1.240052,1.316314,1.220934,1.351728,1.40929,1.342408],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,11.702128,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02317,0.0,0.0,0.0,0.0,0.0,0.0,0.022673,0.031935,0.03132,0.0,0.0,0.0,0.0,0.014311,0.0,0.0,0.0,0.019473,0.0,0.0,0.003219,0.003186,0.002944,0.0,0.004344,0.008639,0.0,0.010239,0.002307,0.0,0.0,0.001913,0.001738,0.001555,0.00239,0.0,0.0029,0.00172,0.0,0.001478,0.002897,0.003637,0.0,0.007865,0.005673,0.002394,0.005362,0.005696,0.001158,0.004222,0.002659,0.004987,0.000772,0.001734,0.005402,0.005838,0.007106,0.006255,0.008515,0.008729,0.00498,0.005962,0.00581,0.007226,0.010177,0.008794,0.010531,0.016334,0.013424,0.019259,0.02728,0.024499,0.030447,0.019156,0.032012,0.031164,0.032363,0.033906,0.035668,0.045447,0.048008,0.055737,0.062483,0.06594,0.070055,0.065959,0.068082,0.073061,0.074429,0.079613,0.082416,0.078603,0.08321,0.083624,0.094345,0.108199,0.138069,0.139027,0.159139,0.181428,0.187248,0.207285,0.227585,0.218553,0.206751,0.198488,0.19534,0.208212,0.180239,0.174797,0.548622,0.31919,0.25944,0.268299,0.253814,0.229879,0.222677,0.205435,0.209923,0.201329,0.189372,0.183616,0.175882,0.169461,0.162749,0.149901,0.142898,0.122617,0.108267,0.100703,0.083312,0.080906,0.078855,0.078414],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.189781,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03712,0.0,0.0,0.0,0.035855,0.0,0.0,0.0,0.0,0.0,0.0,0.048932,0.014426,0.0,0.040415,0.0,0.0,0.010645,0.0,0.008895,0.0,0.006169,0.0,0.143109,0.005692,0.005522,0.004813,0.009737,0.016238,0.0,0.0,0.0,0.017665,0.004229,0.021722,0.017277,0.020992,0.006826,0.027689,0.004906,0.010447,0.009563,0.010427,0.032652,0.008365,0.016127,0.02223,0.017201,0.016181,0.018469,0.014485,0.018185,0.012305,0.018591,0.034671,0.026936,0.018769,0.017605,0.007526,0.018094,0.007976,0.013537,0.013124,0.026011,0.020834,0.013427,0.009474,0.010164,0.01293,0.013967,0.012581,0.008611,0.012243,0.01269,0.007803,0.010553,0.009535,0.011485,0.009495,0.012979,0.014159,0.015696,0.015373,0.01304,0.018788,0.019368,0.023787,0.024923,0.027017,0.02416,0.02142,0.019119,0.020706,0.021135,0.018835,0.018036,0.023741,0.025167,0.021943,0.02469,0.025252,0.027019,0.023392,0.02566,0.032659,0.030856,0.032701,0.038283,0.038467,0.041749,0.06517,0.055503,0.051903,0.060741,0.05556,0.055447,0.05761,0.062415,0.060107,0.066918,0.095841,0.088085,0.094389,0.093495,0.10318,0.108155,0.104711,0.115176,0.1131,0.112836,0.114135,0.122062,0.122494,0.125742,0.128267,0.126523,0.137277,0.135316,0.133242,0.139597,0.152313,0.163281,0.181034,0.191752],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.12766,0.0,0.0,4.761905,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.081081,2.95082,0.0,2.136752,0.414938,0.0,0.0,0.0,0.271003,0.813008,0.230415,0.14652,0.0,0.0,0.089127,0.0,0.0,0.486381,0.0,0.0,0.0,0.0,0.155581,0.0,0.0,0.043234,0.0,0.07171,0.063877,0.026709,0.025913,0.025994,0.162187,0.071904,0.0,0.028852,0.044464,0.094301,0.049225,0.056683,0.106451,0.043849,0.097847,0.022967,0.098711,0.049002,0.176501,0.039845,0.027611,0.09627,0.077893,0.056832,0.031403,0.045073,0.060531,0.064773,0.114194,0.108611,0.129578,0.071372,0.098979,0.095759,0.093215,0.094024,0.080329,0.093841,0.074633,0.051383,0.098913,0.062823,0.077404,0.088187,0.102688,0.076046,0.106925,0.108437,0.122271,0.099601,0.12271,0.10725,0.113396,0.107681,0.141733,0.156856,0.15959,0.153623,0.176011,0.134267,0.158794,0.142584,0.119618,0.14097,0.123665,0.122662,0.104879,0.117655,0.105926,0.10805,0.092897,0.099902,0.098132,0.085893,0.099541,0.091091,0.083794,0.092685,0.082048,0.096155,0.088031,0.104791,0.109776,0.146668,0.102105,0.112365,0.106131,0.103305,0.106722,0.111589,0.114555,0.12199,0.126426,0.117926,0.126588,0.130939,0.128256,0.13854,0.137759,0.142318,0.151033,0.159145,0.162158,0.166162,0.181484,0.184991,0.192992,0.195054,0.204778,0.205084,0.214751,0.217851,0.234327,0.242167,0.258351,0.407877,0.377027,0.404968,0.427272,0.475831,0.494255,0.506838,0.541971,0.566584,0.575619,0.604743,0.625683,0.637413,0.645334,0.619907,0.617612,0.649182,0.66857,0.683047,0.755824,0.779792,0.856658,0.789807,0.685207],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,11.111111,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.131148,0.0,0.041477,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025994,0.046339,0.0,0.0,0.0,0.014821,0.0,0.012306,0.011337,0.0,0.0,0.008895,0.005742,0.0,0.024501,0.071555,0.017077,0.0,0.004813,0.004868,0.0,0.0,0.009658,0.015929,0.002944,0.0,0.008689,0.012958,0.020992,0.017065,0.01846,0.009812,0.006268,0.005738,0.020854,0.023323,0.026289,0.022578,0.016431,0.028381,0.027508,0.025118,0.030418,0.022549,0.04922,0.049338,0.023955,0.026936,0.024131,0.030032,0.037631,0.028347,0.02725,0.024936,0.019299,0.022543,0.031638,0.027439,0.036949,0.027364,0.043521,0.037245,0.033287,0.040406,0.058101,0.050055,0.038844,0.035816,0.039562,0.047599,0.047148,0.053277,0.041251,0.042188,0.042089,0.039293,0.050501,0.052231,0.056731,0.060854,0.071776,0.068933,0.06712,0.077557,0.078413,0.087154,0.093219,0.092487,0.094984,0.09573,0.09794,0.103442,0.094409,0.099562,0.099317,0.107082,0.101318,0.102528,0.103788,0.113363,0.120732,0.131531,0.131914,0.139025,0.136632,0.134511,0.142223,0.145329,0.14982,0.164166,0.147269,0.161335,0.362133,0.26432,0.246257,0.283001,0.28977,0.282194,0.274195,0.281834,0.277474,0.265084,0.268414,0.261285,0.266218,0.260221,0.255947,0.257607,0.263505,0.2551,0.235061,0.234054,0.210477,0.21565,0.216432,0.209222],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.016311,0.0,0.0,0.0,0.0,0.0,0.010645,0.006264,0.0,0.0,0.0,0.0,0.00477,0.0,0.0,0.004813,0.004868,0.0,0.0,0.0,0.0,0.0,0.0,0.004344,0.0,0.0,0.0,0.002307,0.002453,0.0,0.003825,0.0,0.004665,0.0,0.001075,0.001933,0.00172,0.001618,0.003694,0.008691,0.005092,0.006152,0.00715,0.001891,0.001796,0.000536,0.002589,0.001158,0.001809,0.006646,0.003562,0.004632,0.000867,0.003087,0.004087,0.00379,0.003127,0.0041,0.004074,0.005504,0.003533,0.003528,0.002996,0.002884,0.003358,0.002562,0.002169,0.003492,0.004291,0.00708,0.005564,0.006492,0.004039,0.006043,0.006181,0.006589,0.008234,0.008981,0.009047,0.009654,0.009184,0.010929,0.014552,0.017856,0.017476,0.024264,0.025148,0.024005,0.023374,0.023316,0.026466,0.027409,0.0289,0.030663,0.039116,0.038669,0.040166,0.045846,0.04976,0.053924,0.059794,0.055088,0.055769,0.055961,0.051671,0.048032,0.053391,0.05001,0.051222,0.120516,0.081076,0.077979,0.084446,0.08523,0.082029,0.084355,0.083182,0.081892,0.080178,0.08012,0.076127,0.076144,0.070294,0.06441,0.061688,0.062619,0.055134,0.047281,0.044416,0.037803,0.038783,0.039677,0.037376],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.194477,0.074239,0.0,0.043234,0.0,0.035855,0.0,0.026709,0.0,0.0,0.0,0.0,0.016311,0.086555,0.074107,0.0,0.0,0.056683,0.0,0.056377,0.044476,0.011484,0.037016,0.006125,0.033392,0.0,0.005522,0.048135,0.05842,0.008119,0.005888,0.006439,0.006372,0.017665,0.042294,0.0,0.12094,0.008397,0.003413,0.06807,0.022077,0.020894,0.009563,0.005213,0.00311,0.00239,0.004301,0.004833,0.0043,0.006472,0.007388,0.005794,0.006546,0.007691,0.00858,0.008195,0.009577,0.005362,0.00932,0.009842,0.015681,0.00997,0.009974,0.006948,0.013873,0.006173,0.008173,0.007106,0.007036,0.009776,0.013385,0.011008,0.010598,0.013903,0.016744,0.01781,0.018387,0.018358,0.019014,0.019209,0.020515,0.024543,0.024831,0.025821,0.022329,0.026806,0.02967,0.032653,0.032849,0.035851,0.036152,0.031528,0.034787,0.034472,0.035348,0.035101,0.03643,0.038961,0.041373,0.042916,0.059425,0.050788,0.062879,0.054332,0.058639,0.060897,0.062831,0.068783,0.076472,0.067515,0.078244,0.075622,0.077284,0.073253,0.070386,0.075295,0.060693,0.063345,0.066975,0.060595,0.069506,0.121055,0.071284,0.074111,0.075049,0.075374,0.082837,0.090913,0.08951,0.088959,0.090015,0.090565,0.085789,0.086746,0.089236,0.081395,0.079777,0.079612,0.081012,0.070965,0.065489,0.059453,0.057455,0.056804,0.050298],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.04712,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.45045,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.065574,0.0,0.165906,0.155581,0.111359,0.19755,0.172936,0.075301,0.143421,0.031939,0.026709,0.051827,0.0,0.046339,0.035952,0.032621,0.043278,0.059286,0.026943,0.012306,0.03401,0.031935,0.03132,0.01779,0.040193,0.018508,0.018376,0.209894,0.022769,0.016566,0.01444,0.038946,0.040594,0.005888,0.054731,0.035044,0.044163,0.101506,0.052133,0.051831,0.02519,0.047783,0.016152,0.026983,0.039699,0.022951,0.027805,0.024878,0.016729,0.033329,0.026096,0.016341,0.017799,0.034722,0.023176,0.034187,0.034608,0.027886,0.030889,0.029929,0.033784,0.042977,0.032999,0.03679,0.053172,0.039897,0.053266,0.065029,0.063275,0.040282,0.037422,0.032445,0.030591,0.034044,0.029355,0.029366,0.037558,0.031549,0.029514,0.035176,0.0296,0.032413,0.029904,0.026377,0.028696,0.028983,0.029701,0.02608,0.031294,0.029515,0.030037,0.040511,0.05638,0.03413,0.033414,0.036107,0.036298,0.038352,0.038917,0.038334,0.041096,0.042879,0.040625,0.045869,0.052233,0.045694,0.044697,0.046341,0.053878,0.051993,0.056705,0.057758,0.061473,0.069735,0.067078,0.072742,0.079976,0.079408,0.08169,0.082882,0.080433,0.085599,0.0933,0.093838,0.105884,0.117199,0.118316,0.131511,0.143493,0.155883,0.164038,0.181514,0.189988,0.199996,0.203013,0.205816,0.211468,0.216924,0.20192,0.196001,0.201632,0.207152,0.210896,0.226544,0.234843,0.244103,0.237283,0.220668],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.020202,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.37931,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.0,0.0,0.0,0.0,0.554785,0.26738,0.0,0.088028,0.097276,0.0,0.0,0.0,0.0,0.038895,0.03712,0.03951,0.086468,0.0,0.035855,0.191632,0.026709,0.051827,0.051989,0.046339,0.053928,0.065242,0.057703,0.029643,0.0,0.024612,0.03401,0.063871,0.150338,0.035581,0.034451,0.012339,0.024501,0.257597,0.011384,0.016566,0.009627,0.02921,0.012178,0.011776,0.032195,0.041416,0.052996,0.042294,0.052133,0.23756,0.083967,0.037544,0.113065,0.039248,0.045967,0.034427,0.026067,0.031097,0.023899,0.032254,0.044459,0.024941,0.037217,0.039893,0.050697,0.054554,0.04076,0.072934,0.046649,0.05507,0.06435,0.071973,0.083366,0.096499,0.109667,0.102593,0.135095,0.130057,0.101086,0.125517,0.130268,0.106718,0.130248,0.174877,0.155949,0.18834,0.180736,0.169905,0.19812,0.224967,0.195676,0.212471,0.231375,0.235401,0.242123,0.240254,0.23537,0.239911,0.301928,0.298399,0.322366,0.343506,0.382048,0.362689,0.368492,0.390248,0.395013,0.405596,0.40597,0.412314,0.441903,0.42233,0.448881,0.431598,0.42333,0.437572,0.444498,0.4398,0.455576,0.459395,0.469472,0.474227,0.455252,0.465542,0.477131,0.495689,0.495394,0.499681,0.498859,0.472471,0.464953,0.472545,0.472226,0.500343,0.577138,0.569542,0.569553,0.583153,0.608588,0.622898,0.644087,0.662111,0.6733,0.685262,0.675644,0.681842,0.691421,0.678656,0.636545,0.629784,0.631257,0.623621,0.598642,0.592429,0.551749,0.553689,0.520341,0.491911],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,2.702703,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.571429,0.0,0.0,0.0,0.0,0.0,0.45045,0.42735,0.0,0.0,0.0,0.0,0.813008,0.0,0.0,0.0,0.207469,0.0,0.089127,0.127389,0.0,0.097276,0.0,0.262295,0.177936,0.082953,0.116686,0.0,0.355591,0.259403,0.225904,0.250986,0.127755,0.186966,0.207308,0.233949,0.162187,0.125831,0.048932,0.057703,0.074107,0.121245,0.073837,0.124702,0.117096,0.075169,0.115638,0.137804,0.166574,0.128629,0.181272,0.193534,0.165663,0.192539,0.146049,0.178615,0.125613,0.177071,0.111504,0.100103,0.122653,0.160744,0.142536,0.134347,0.126284,0.04038,0.098121,0.152528,0.141532,0.128597,0.15082,0.179241,0.198901,0.134345,0.171149,0.161811,0.149968,0.204238,0.165844,0.174576,0.220231,0.170835,0.157428,0.137816,0.152748,0.131996,0.168873,0.160844,0.129667,0.142815,0.154334,0.159731,0.159378,0.179059,0.186072,0.181338,0.210958,0.171151,0.176858,0.175133,0.177836,0.170471,0.184514,0.156825,0.163468,0.151485,0.165901,0.16236,0.148488,0.145147,0.140208,0.142108,0.143559,0.148829,0.137913,0.141096,0.133538,0.138205,0.133894,0.135951,0.137158,0.132038,0.127864,0.132521,0.129515,0.130898,0.133447,0.160899,0.142717,0.147755,0.143602,0.150138,0.15666,0.154022,0.150978,0.152332,0.178302,0.153627,0.154949,0.162283,0.158032,0.154755,0.162812,0.154346,0.149943,0.147534,0.151661,0.162214,0.157851,0.169137,0.175986,0.180148,0.183439,0.19645,0.200097,0.21315,0.213978,0.224562,0.240352,0.250778,0.263772,0.272728,0.283988,0.289574,0.298213,0.312837,0.320938,0.311561,0.312151,0.317456,0.330134],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,0.0,1.342282,2.702703,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.689655,1.351351,0.0,2.884615,4.672897,1.315789,7.853403,1.459854,0.571429,1.111111,0.0,0.452489,1.081081,0.0,0.45045,0.42735,0.414938,0.271003,1.271186,0.493827,1.084011,1.897019,0.691244,1.245421,4.356846,0.416089,0.26738,0.89172,0.616197,0.583658,0.331126,0.655738,0.474496,0.580672,0.933489,0.593912,0.948242,0.821444,0.865964,2.36644,1.117854,0.934829,0.803317,1.013777,1.274328,0.593205,0.88077,0.692441,0.518749,0.727469,0.775289,0.680195,0.372578,0.451015,0.507027,0.327285,0.512061,0.453265,0.419787,0.597678,0.502513,0.399519,0.486831,0.56832,0.331698,0.392776,0.455574,0.406301,0.592116,0.812408,0.393055,0.633948,0.474419,0.177673,0.313987,0.411617,0.374869,0.352774,0.292311,0.330999,0.350496,0.349877,0.37928,0.373783,0.387849,0.446138,0.448068,0.502196,0.441893,0.436857,0.390875,0.499783,0.518827,0.485145,0.473448,0.477216,0.431747,0.471676,0.336414,0.446012,0.478134,0.582178,0.527725,0.532975,0.752464,0.692204,0.646272,0.636829,0.618109,0.613697,0.687371,0.589021,0.62363,0.564686,0.695527,0.644624,0.703822,0.703199,0.614779,0.67458,0.679626,0.719146,0.714973,0.700494,0.782497,0.731914,0.736975,0.725183,0.79361,0.76933,0.759408,0.792842,0.840542,0.783308,0.80668,0.797406,0.834346,0.812966,0.755566,0.826414,0.811985,0.763505,0.835722,0.834776,0.784655,0.784074,0.823444,0.816994,0.812856,0.835531,0.873185,0.801369,0.807082,0.814227,0.816835,0.80945,0.83962,0.782084,0.836725,0.762165,0.831691,0.806344,0.775941,0.780414,0.822891,0.77602,0.81277,0.774476,0.796698,0.769366,0.780939,0.805056,0.769689,0.743876,0.873284,0.85467,0.779817,0.727644,0.656608],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,0.0,0.0,0.0,1.818182,0.0,0.0,0.0,0.680272,0.0,0.689655,1.801802,0.0,0.0,0.0,0.0,0.52356,0.0,0.0,0.0,0.0,0.452489,0.540541,0.327869,0.0,0.42735,0.0,0.0,0.0,0.493827,0.813008,0.542005,0.230415,0.07326,0.0,0.138696,0.445633,0.127389,0.088028,0.486381,0.0,0.393443,0.0,0.082953,0.077791,0.03712,0.03951,0.302637,0.263554,0.179276,0.159693,0.080128,0.181394,0.337926,0.440222,0.269639,0.130484,0.144259,0.222321,0.296376,0.233817,0.362771,0.244837,0.169131,0.266856,0.080386,0.141896,0.183756,0.138339,0.227687,0.265062,0.134777,0.175259,0.198912,0.127576,0.228582,0.149734,0.144266,0.203011,0.251977,0.086386,0.159537,0.119458,0.041534,0.110386,0.100293,0.10328,0.144237,0.121278,0.131444,0.122566,0.125646,0.103205,0.107604,0.115247,0.123122,0.115654,0.11459,0.122986,0.107166,0.086196,0.095988,0.129966,0.129102,0.114592,0.101026,0.101168,0.137411,0.142196,0.121149,0.14128,0.147321,0.140727,0.129302,0.136759,0.130263,0.122763,0.134462,0.130601,0.136886,0.16069,0.137187,0.137691,0.128566,0.124033,0.133475,0.156709,0.17343,0.133515,0.14869,0.148555,0.140641,0.147116,0.162797,0.142798,0.160957,0.1447,0.163399,0.169188,0.164252,0.165638,0.171418,0.176131,0.176458,0.168735,0.196446,0.184452,0.194932,0.188041,0.183899,0.193549,0.207315,0.213542,0.181198,0.173192,0.169372,0.183608,0.160988,0.169076,0.148607,0.147394,0.141793,0.145239,0.149362,0.143999,0.144574,0.145281,0.149294,0.141621,0.140797,0.14529,0.139074,0.13201,0.129647,0.141279,0.134572,0.141718,0.137968,0.139023,0.142045,0.144272,0.151193,0.144911,0.139401,0.144168,0.138124,0.12757,0.127186,0.122054],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,1.342282,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,1.37931,2.702703,0.877193,0.961538,0.934579,0.657895,1.570681,0.729927,0.571429,0.0,0.0,1.357466,0.540541,0.655738,0.0,0.0,0.414938,0.542005,0.423729,0.246914,0.271003,0.271003,0.460829,0.0,0.207469,0.416089,0.26738,0.382166,0.088028,0.097276,0.413907,0.590164,0.059312,0.165906,0.700117,0.334076,0.632161,0.345871,0.564759,0.645393,0.511019,0.42735,0.647836,0.675851,0.625579,0.197735,0.58718,0.490479,0.266785,0.404149,0.25843,0.476136,0.329998,0.219243,0.20459,0.177997,0.363995,0.263384,0.190812,0.358607,0.369982,0.197353,0.301835,0.503369,0.241413,0.24468,0.194336,0.226704,0.329893,0.49092,0.323946,0.37785,0.160415,0.072684,0.134916,0.148349,0.193172,0.161615,0.216124,0.223454,0.204277,0.168173,0.167709,0.142394,0.138887,0.196272,0.181846,0.190727,0.184479,0.161379,0.189751,0.171599,0.191583,0.164417,0.172492,0.160844,0.15674,0.173694,0.146531,0.13118,0.127853,0.148268,0.130563,0.145701,0.156836,0.137078,0.159195,0.144838,0.154219,0.152831,0.134628,0.127083,0.133608,0.126929,0.12822,0.135551,0.131961,0.148729,0.125264,0.131876,0.140211,0.127076,0.130163,0.121227,0.118709,0.122343,0.116996,0.120049,0.121431,0.133701,0.122083,0.122409,0.140326,0.131444,0.130196,0.12796,0.142007,0.140653,0.124109,0.139766,0.13957,0.134788,0.142423,0.138737,0.129675,0.12504,0.126401,0.123731,0.113823,0.110988,0.103257,0.101228,0.095632,0.101073,0.096407,0.094834,0.098003,0.100467,0.098103,0.097583,0.09581,0.093287,0.090078,0.090536,0.096729,0.094606,0.101007,0.099892,0.104723,0.11349,0.112248,0.117652,0.119257,0.116234,0.125089,0.12561,0.123583,0.130833,0.131667],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,1.06383,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,2.094241,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.246914,0.0,0.271003,0.0,0.0,0.0,0.693481,0.178253,0.0,0.088028,0.0,0.0,0.065574,0.0,0.165906,0.155581,0.259837,0.355591,0.216169,0.376506,0.394407,0.063877,0.267094,0.233221,0.285937,0.278035,0.251663,0.163106,0.057703,0.10375,0.148188,0.172286,0.170049,0.266127,0.212979,0.169009,0.09187,0.10488,0.122504,0.104947,0.176457,0.281628,0.139591,0.116839,0.296338,0.090285,0.154535,0.121062,0.126601,0.160717,0.221566,0.151175,0.184726,0.126284,0.079607,0.137369,0.100293,0.099455,0.099055,0.111949,0.10157,0.133318,0.085053,0.082564,0.097087,0.067227,0.112983,0.098924,0.133816,0.118696,0.085102,0.113132,0.078828,0.088542,0.089734,0.100118,0.089727,0.076945,0.084917,0.100577,0.07948,0.099246,0.108477,0.087563,0.086096,0.097477,0.091997,0.080591,0.099187,0.095351,0.091597,0.090978,0.080832,0.097111,0.078908,0.084049,0.088543,0.08778,0.1047,0.083663,0.099027,0.102402,0.095973,0.101453,0.09553,0.098202,0.100761,0.100158,0.117015,0.10249,0.105449,0.107655,0.111188,0.122975,0.107722,0.116185,0.121613,0.111809,0.109018,0.098649,0.110425,0.107793,0.112192,0.134574,0.116565,0.111002,0.109094,0.104039,0.097329,0.094735,0.079673,0.075218,0.069699,0.068593,0.068949,0.062081,0.062894,0.060406,0.059662,0.055178,0.052249,0.052643,0.051089,0.050827,0.048159,0.05452,0.050085,0.05253,0.052567,0.06036,0.062032,0.066149,0.071461,0.073352,0.069402,0.075065,0.074332,0.07952,0.074009,0.070751],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,15.789474,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.900901,0.0,0.0,0.0,0.657895,7.853403,0.0,0.0,3.333333,0.735294,0.904977,0.0,0.0,0.0,0.42735,0.829876,0.0,0.423729,0.493827,0.0,0.813008,0.230415,0.0,0.207469,0.138696,0.0,0.127389,0.0,0.0,0.248344,0.262295,0.118624,0.207383,0.466744,0.111359,0.276571,0.302637,0.338855,0.717103,0.383264,0.267094,0.414615,0.441903,0.996293,0.305591,0.440385,0.375072,0.133393,0.269433,0.344573,0.408117,0.223547,0.250564,0.177904,0.103353,0.203591,0.441014,0.486572,0.147996,0.237451,0.231047,0.233679,0.458716,0.16683,0.373459,0.197521,0.191373,0.308746,0.317143,0.254838,0.281288,0.122871,0.064608,0.201148,0.196406,0.143445,0.165091,0.180362,0.148173,0.206427,0.147876,0.137607,0.133494,0.169915,0.251315,0.244401,0.273016,0.268139,0.21181,0.304679,0.24292,0.225757,0.215941,0.199029,0.233955,0.198062,0.209977,0.208958,0.27162,0.290733,0.304116,0.227117,0.223597,0.24733,0.275204,0.267164,0.287185,0.338047,0.329408,0.318343,0.336136,0.339953,0.351756,0.358806,0.432802,0.456674,0.550365,0.497651,0.549704,0.575987,0.640226,0.649055,0.649319,0.67986,0.765263,0.691503,0.779659,0.778431,0.750349,0.713411,0.72296,0.890876,0.743565,0.816172,0.809295,0.854185,0.870501,0.766276,0.852274,0.932184,1.072615,0.947953,0.879373,0.916701,0.864536,0.820563,0.813087,0.813566,0.749389,0.685233,0.726076,0.677974,0.668887,0.657832,0.692156,0.673214,0.692268,0.655272,0.669786,0.69423,0.636929,0.635598,0.617613,0.644751,0.609425,0.629166,0.637423,0.672935,0.664338,0.694055,0.696912,0.681316,0.633574,0.645614,0.603614,0.557716,0.565046,0.54363],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,46.875,0.0,4.166667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.671141,0.0,2.222222,0.0,0.0,0.0,0.0,1.06383,0.0,0.0,0.680272,0.0,0.689655,0.900901,0.877193,0.0,0.934579,0.0,0.0,1.459854,0.571429,1.111111,0.735294,1.809955,1.621622,1.311475,0.900901,0.42735,1.244813,1.084011,2.542373,0.493827,0.0,1.355014,0.921659,0.0,1.037344,0.277393,0.0,0.254777,0.264085,0.486381,0.413907,0.721311,0.711744,0.788055,1.478024,0.853749,0.711181,0.432339,0.489458,0.860523,0.926222,2.964744,0.82923,0.857811,0.463392,0.39547,0.652422,0.490479,0.592856,0.579281,0.603003,0.49881,0.340643,0.41343,0.418075,0.447864,0.401012,0.44714,0.3053,0.546448,0.612955,0.45728,0.739983,0.515548,0.372915,0.518335,0.624423,0.65067,0.545593,0.599531,0.747236,0.705319,0.843032,0.193825,0.44645,0.497284,0.374869,0.345822,0.412035,0.440934,0.389201,0.361475,0.348318,0.321195,0.374551,0.362125,0.385513,0.409139,0.388265,0.344191,0.392671,0.366257,0.439087,0.359516,0.32689,0.353592,0.27572,0.244716,0.27312,0.324092,0.331016,0.307431,0.368626,0.386643,0.399801,0.373229,0.351729,0.390315,0.354086,0.399972,0.4397,0.364313,0.406565,0.396284,0.418154,0.402406,0.386583,0.421412,0.362059,0.393116,0.403892,0.4102,0.459622,0.454007,0.459224,0.488333,0.49809,0.471852,0.518484,0.496743,0.512127,0.550034,0.583399,0.591112,0.584452,0.586285,0.639918,0.616314,0.604771,0.670231,0.613401,0.605075,0.63735,0.597809,0.608137,0.528479,0.570496,0.539838,0.529889,0.547566,0.530015,0.518808,0.544706,0.520612,0.569379,0.565164,0.534676,0.513643,0.525684,0.496878,0.512725,0.497991,0.474646,0.463758,0.474666,0.450401,0.472986,0.444344,0.443132,0.442104,0.436218,0.42915,0.412277,0.392062,0.420609,0.401425,0.398616,0.379538,0.361064],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,2.941176,0.0,0.512821,0.0,1.801802,2.631579,1.923077,3.738318,0.0,0.52356,0.729927,1.142857,1.111111,1.470588,0.904977,0.0,0.655738,0.45045,0.0,0.829876,0.813008,0.423729,2.716049,0.271003,1.626016,0.460829,0.14652,1.244813,0.970874,0.445633,0.636943,0.616197,0.583658,0.496689,1.442623,0.474496,1.161344,0.466744,1.224944,0.474121,0.691742,1.807229,1.685192,1.469179,1.549145,1.269759,1.45568,1.506024,0.862844,1.679987,1.197346,0.993034,0.781355,1.35368,1.405736,1.075154,1.190178,0.889521,0.867019,0.913073,0.465515,0.429328,0.825364,1.04368,0.481348,0.822745,0.681984,0.402355,0.479701,0.59575,0.627116,0.609034,0.894952,0.691085,0.604559,0.587051,0.54571,0.44645,0.50982,0.363393,0.53698,0.45868,0.395526,0.327918,0.323781,0.352618,0.280742,0.305847,0.300563,0.3586,0.303778,0.347508,0.405338,0.335207,0.300299,0.316888,0.394252,0.358855,0.307067,0.301368,0.349704,0.355489,0.330265,0.410413,0.28043,0.266208,0.22202,0.271481,0.250305,0.224771,0.247552,0.230887,0.212368,0.221129,0.219015,0.250243,0.208892,0.207141,0.194454,0.203299,0.209102,0.209735,0.207807,0.246786,0.213166,0.228754,0.21837,0.21833,0.215888,0.222347,0.229169,0.236173,0.208574,0.236795,0.210212,0.223968,0.212112,0.231574,0.235047,0.226087,0.227447,0.21863,0.216384,0.20963,0.220248,0.228833,0.221245,0.208658,0.215471,0.213707,0.20207,0.19789,0.199141,0.194573,0.190156,0.19268,0.210442,0.229831,0.198915,0.221937,0.218676,0.216006,0.21692,0.239032,0.214601,0.227301,0.223729,0.217766,0.224303,0.220743,0.220066,0.237263,0.228792,0.230655,0.234158,0.237331,0.222255,0.210571,0.187388,0.189528,0.170891,0.174518],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.680272,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.246914,0.542005,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.0,0.165563,0.131148,0.059312,0.041477,0.116686,0.074239,0.0,0.043234,0.075301,0.215131,0.031939,0.080128,0.0,0.025994,0.046339,0.017976,0.0,0.043278,0.014821,0.107773,0.061531,0.0,0.02129,0.006264,0.01779,0.034451,0.024678,0.018376,0.042933,0.034153,0.011044,0.038508,0.02921,0.032475,0.013739,0.019317,0.063717,0.023554,0.054982,0.073855,0.030235,0.033587,0.010239,0.033458,0.026983,0.012537,0.015301,0.017378,0.015548,0.011949,0.016127,0.017397,0.017201,0.012136,0.010343,0.013036,0.012366,0.009229,0.015731,0.015129,0.018556,0.015551,0.015534,0.015052,0.018697,0.01861,0.013537,0.013896,0.024277,0.020834,0.021017,0.019422,0.014464,0.014822,0.01484,0.014153,0.010819,0.01494,0.009165,0.010008,0.010233,0.009962,0.007146,0.007094,0.009211,0.00774,0.006644,0.007164,0.006635,0.008556,0.005975,0.006056,0.00568,0.015616,0.011921,0.004615,0.009274,0.004804,0.017243,0.004672,0.005668,0.005422,0.005472,0.004688,0.004649,0.010548,0.005222,0.005119,0.005405,0.004362,0.005024,0.007186,0.004036,0.005296,0.004612,0.005449,0.00485,0.005141,0.004257,0.005369,0.004947,0.005364,0.004615,0.005956,0.005282,0.00552,0.004731,0.004643,0.005731,0.005603,0.005832,0.005062,0.005607,0.00545,0.006428,0.006894,0.006429,0.006807,0.006921,0.007557,0.008273,0.008896,0.010083,0.01088,0.008465,0.008257,0.008844,0.008029,0.007339],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,17.171717,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.493827,0.0,0.0,0.0,0.0,0.0,0.277393,0.0,0.127389,0.264085,0.0,0.165563,0.131148,0.059312,0.456242,0.077791,0.0,0.0,0.0,0.037651,0.107565,0.0,0.213675,0.051827,0.0,0.115848,0.035952,0.0,0.014426,0.340892,0.026943,0.049225,0.022673,0.031935,0.219243,0.044476,0.086128,0.006169,0.073502,0.081095,0.017077,0.038655,0.067389,0.019473,0.044654,0.011776,0.035414,0.031858,0.017665,0.101506,0.073855,0.034554,0.046182,0.047783,0.055379,0.041701,0.058504,0.032514,0.033018,0.027987,0.019119,0.012902,0.035761,0.029242,0.025081,0.014775,0.026797,0.03346,0.015381,0.046477,0.025846,0.023345,0.026276,0.037281,0.037052,0.028347,0.040543,0.049872,0.029335,0.047688,0.057102,0.063051,0.044054,0.025018,0.031537,0.03579,0.032238,0.034224,0.029466,0.038775,0.034434,0.04349,0.04127,0.047981,0.036671,0.055475,0.045593,0.052735,0.050447,0.050082,0.05786,0.058207,0.066469,0.080846,0.107151,0.09022,0.095398,0.118227,0.121061,0.111372,0.138569,0.14684,0.162563,0.172261,0.178026,0.175334,0.177273,0.200799,0.197715,0.206582,0.224714,0.247188,0.23454,0.263636,0.251291,0.251179,0.258817,0.258959,0.262701,0.303882,0.299655,0.268374,0.281084,0.294061,0.298259,0.368257,0.323281,0.368161,0.383198,0.363639,0.370683,0.360383,0.379547,0.381061,0.364867,0.359275,0.340288,0.333159,0.323741,0.303388,0.284579,0.267346,0.266223,0.250718,0.246067,0.232638,0.217532,0.221713,0.210115,0.184749],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,22.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.714286,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,23.333333,0.0,0.0,4.444444,0.0,0.0,3.030303,0.0,0.0,0.0,10.526316,0.671141,2.702703,2.222222,0.0,2.040816,3.669725,0.0,0.0,0.990099,0.0,0.0,0.512821,0.689655,0.45045,0.877193,1.923077,0.934579,1.315789,5.235602,0.729927,1.142857,1.111111,0.735294,0.904977,5.405405,2.95082,2.252252,3.846154,0.829876,3.252033,1.694915,1.728395,4.336043,2.168022,1.382488,0.43956,2.697095,1.803051,0.445633,1.783439,0.880282,1.55642,1.572848,1.180328,1.245552,1.244297,1.905873,0.77951,0.671671,1.037613,1.355422,1.434206,0.73459,1.682692,1.269759,1.403691,1.088971,1.078555,0.864459,1.399308,0.904106,0.82177,0.861432,0.827571,0.840962,1.334252,0.729408,0.671796,0.499722,0.62477,0.901589,0.47245,0.436247,0.592058,0.598802,0.645449,0.306183,0.518335,0.653095,0.606507,1.057351,0.67773,0.578784,0.591964,0.587051,0.693387,0.539665,0.566235,0.518313,0.345822,0.377828,0.400306,0.327918,0.4098,0.353478,0.35113,0.342785,0.378782,0.373875,0.416061,0.377539,0.337256,0.344784,0.337836,0.358829,0.358359,0.329302,0.392141,0.473069,0.366688,0.430922,0.478421,0.432597,0.444331,0.381135,0.410927,0.341897,0.353572,0.335611,0.329723,0.343687,0.333988,0.313386,0.315928,0.322343,0.298387,0.365401,0.343409,0.441892,0.329921,0.312323,0.437514,0.42975,0.376965,0.454779,0.561377,0.506906,0.537185,0.660108,0.628116,0.621809,0.709818,0.787212,0.829081,0.816023,0.81535,0.811686,0.836633,0.890627,0.861076,0.921,0.984789,1.10952,1.004698,1.057791,1.063357,1.078748,1.082413,1.098496,1.120839,1.214481,1.157756,1.157586,1.238787,1.263943,1.305445,1.466564,1.391227,1.523236,1.564725,1.500735,1.427209,1.481157,1.506568,1.493097,1.458718,1.450414,1.393009,1.390959,1.366545,1.316761,1.252051,1.223829,1.224997,1.213413,1.184946,1.213422,1.240141,1.306194,1.264919,1.179115],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.680272,0.0,0.689655,0.0,0.0,0.0,0.934579,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.987654,0.0,0.0,0.230415,0.07326,0.0,0.416089,0.0,0.127389,0.176056,0.097276,0.331126,0.065574,0.059312,0.165906,0.116686,0.03712,0.0,0.043234,0.112952,0.07171,0.511019,0.106838,0.07774,0.025994,0.092678,0.053928,0.081553,0.504905,0.088928,0.121245,0.049225,0.090693,0.074516,0.288148,0.044476,0.132062,0.080202,0.049002,0.090636,0.045537,0.110442,0.105897,0.068156,0.133961,0.029441,0.048292,0.050973,0.05594,0.228388,0.065166,0.056151,0.130148,0.081914,0.056532,0.053967,0.068951,0.057378,0.020854,0.046645,0.039433,0.027954,0.059924,0.075684,0.044498,0.053929,0.058664,0.04437,0.046913,0.052198,0.067451,0.041302,0.048799,0.05385,0.071788,0.050662,0.049848,0.049872,0.043231,0.06156,0.052472,0.049039,0.053054,0.046909,0.047305,0.054994,0.03748,0.044159,0.050008,0.047587,0.059368,0.048607,0.052512,0.056148,0.04442,0.068454,0.060507,0.064777,0.064402,0.056199,0.068571,0.07129,0.077273,0.084721,0.104878,0.089581,0.104206,0.122969,0.126146,0.128197,0.14055,0.162098,0.16585,0.161965,0.161812,0.167028,0.169257,0.179187,0.173089,0.178858,0.202682,0.213271,0.211944,0.240458,0.232323,0.229059,0.248996,0.241227,0.259162,0.27969,0.30166,0.285658,0.320673,0.34546,0.374754,0.461752,0.459728,0.526204,0.515671,0.480994,0.492774,0.51019,0.530761,0.551666,0.560665,0.574503,0.581544,0.546229,0.541671,0.523325,0.484313,0.466339,0.449163,0.425074,0.416369,0.379274,0.344454,0.357005,0.342674,0.313091],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.041477,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.012306,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.009737,0.0,0.001963,0.0,0.006372,0.005888,0.008459,0.004344,0.0,0.0,0.0,0.011537,0.002453,0.004179,0.009563,0.005213,0.00311,0.00717,0.001075,0.0,0.00258,0.003236,0.003694,0.002173,0.001455,0.003845,0.00715,0.001891,0.00419,0.0,0.002589,0.001158,0.001206,0.001994,0.002137,0.000772,0.0,0.001543,0.002919,0.002842,0.001173,0.002208,0.00291,0.001048,0.001766,0.002698,0.002996,0.001866,0.002398,0.001565,0.002297,0.004038,0.003245,0.003115,0.002657,0.002836,0.001962,0.002453,0.001906,0.004166,0.002158,0.004619,0.001845,0.001755,0.001861,0.003259,0.00465,0.005112,0.007394,0.006992,0.007169,0.007279,0.007103,0.006376,0.006712,0.005841,0.00558,0.004954,0.00464,0.004066,0.004147,0.003855,0.004588,0.003823,0.004042,0.004098,0.003554,0.003667,0.003498,0.003419,0.002997,0.003833,0.003897,0.00325,0.004307,0.004231,0.004819,0.00497,0.005007,0.006213,0.007102,0.008024,0.009738,0.009625,0.010414,0.011368,0.011289,0.011276,0.011717,0.012348,0.012451,0.012631,0.013458,0.012536,0.014146,0.01455,0.013432],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.041477,0.0,0.0,0.0,0.0,0.037651,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.014426,0.0,0.0,0.012306,0.0,0.0,0.006264,0.0,0.0,0.006169,0.0,0.019081,0.005692,0.005522,0.004813,0.009737,0.008119,0.0,0.006439,0.0,0.002944,0.0,0.004344,0.012958,0.0,0.010239,0.0,0.007359,0.006268,0.00765,0.001738,0.001555,0.010754,0.005376,0.003866,0.00516,0.003236,0.005171,0.005794,0.015275,0.023072,0.012871,0.005673,0.003592,0.006971,0.007767,0.00521,0.00965,0.003988,0.017099,0.000772,0.001734,0.006945,0.00467,0.005684,0.003518,0.005677,0.004074,0.005766,0.005741,0.003735,0.004582,0.005089,0.002718,0.002846,0.005615,0.002947,0.003873,0.003776,0.004152,0.004851,0.003173,0.004667,0.003554,0.004699,0.005196,0.004069,0.003867,0.003803,0.003902,0.003147,0.004964,0.005039,0.006878,0.00626,0.005872,0.006468,0.006063,0.005125,0.00552,0.005329,0.004241,0.005488,0.00453,0.00459,0.004658,0.003464,0.003809,0.004283,0.004027,0.003498,0.00388,0.003564,0.003241,0.002989,0.002953,0.003196,0.002898,0.004569,0.004279,0.00457,0.005537,0.006374,0.006867,0.009519,0.011272,0.012778,0.016034,0.017372,0.018843,0.022085,0.023707,0.02809,0.031251,0.035321,0.037307,0.04121,0.047919,0.056825,0.072565,0.094857,0.111962],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.031939,0.0,0.0,0.0,0.046339,0.0,0.0,0.0,0.014821,0.0,0.0,0.0,0.02129,0.018792,0.008895,0.005742,0.012339,0.01225,0.014311,0.039845,0.005522,0.004813,0.038946,0.044654,0.007851,0.009658,0.019115,0.023554,0.029606,0.026067,0.082066,0.054578,0.013652,0.010383,0.022077,0.054325,0.030602,0.029543,0.023323,0.011949,0.020428,0.028995,0.013761,0.01699,0.018469,0.021003,0.019639,0.013843,0.019306,0.012608,0.010775,0.02145,0.017087,0.01621,0.012062,0.021933,0.020661,0.023159,0.019075,0.017748,0.02452,0.037896,0.029318,0.026491,0.03288,0.030141,0.039964,0.024693,0.021326,0.021203,0.024144,0.019496,0.021566,0.017353,0.016224,0.013404,0.015281,0.011716,0.009866,0.011548,0.009581,0.007994,0.008631,0.007258,0.006883,0.007183,0.006303,0.007361,0.007498,0.009001,0.011314,0.014864,0.016969,0.013624,0.013881,0.016909,0.017228,0.020714,0.01649,0.01333,0.013865,0.012561,0.012015,0.01139,0.010542,0.008374,0.009987,0.008823,0.009016,0.008263,0.007252,0.006272,0.004659,0.005095,0.004454,0.004067,0.003876,0.003861,0.003239,0.003245,0.002747,0.002847,0.002477,0.002793,0.002772,0.003158,0.003023,0.003239,0.003191,0.003551,0.00346,0.003475,0.003597,0.003197,0.003178,0.002786,0.002686,0.002652,0.002456],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.004059,0.0,0.003219,0.006372,0.0,0.004229,0.004344,0.012958,0.004198,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.001195,0.001075,0.0,0.0,0.000809,0.000739,0.001448,0.0,0.0,0.000715,0.001891,0.002394,0.000536,0.003107,0.002316,0.001206,0.000665,0.000712,0.0,0.0,0.000772,0.002919,0.001895,0.003127,0.002838,0.00291,0.003407,0.003091,0.003113,0.004054,0.005089,0.002878,0.002989,0.004722,0.002401,0.003559,0.00387,0.003156,0.003284,0.002308,0.00347,0.002576,0.002616,0.002862,0.003263,0.002554,0.002795,0.002341,0.00191,0.002195,0.001761,0.001501,0.001465,0.001563,0.00141,0.001203,0.000998,0.00105,0.000853,0.000963,0.00116,0.001064,0.001188,0.001123,0.001007,0.000924,0.000794,0.001242,0.000982,0.000917,0.000705,0.000759,0.000741,0.000737,0.000603,0.000627,0.000676,0.000627,0.000552,0.000585,0.000547,0.000503,0.000506,0.000408,0.000477,0.000539,0.000469,0.000533,0.000528,0.000626,0.000829,0.000786,0.000995,0.001092,0.001095,0.001082,0.001348,0.001292,0.001366,0.001487],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.040404,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.0,0.0,50.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.657895,0.0,1.459854,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.740741,0.271003,0.0,0.0,0.21978,0.207469,0.0,0.178253,0.127389,0.0,0.194553,0.331126,0.131148,0.237248,0.165906,0.311163,0.334076,0.03951,0.907912,0.225904,0.179276,0.127755,0.080128,0.207308,0.155966,0.069509,0.125831,0.163106,0.158684,0.2075,0.282904,0.307654,0.43079,0.191612,0.225507,0.284647,0.321543,0.197421,0.490016,0.290989,0.557832,0.358938,0.370638,0.37486,0.35317,0.341511,0.3638,0.299468,0.273811,0.287599,0.299765,0.267795,0.335866,0.273047,0.066916,0.240396,0.229837,0.19891,0.241554,0.251885,0.261693,0.256959,0.201034,0.225332,0.242716,0.249701,0.199169,0.259676,0.255328,0.277434,0.257197,0.28732,0.304052,0.2532,0.226362,0.244263,0.237943,0.317754,0.228504,0.22023,0.23921,0.206666,0.266693,0.258781,0.224228,0.25926,0.229599,0.25502,0.26187,0.299449,0.273263,0.292281,0.276935,0.271044,0.321852,0.265755,0.269781,0.255203,0.280071,0.26051,0.267822,0.265741,0.270382,0.270806,0.286334,0.285312,0.272119,0.305337,0.289461,0.285367,0.301035,0.313285,0.315056,0.328602,0.358573,0.340655,0.330634,0.31959,0.317681,0.291782,0.297979,0.283879,0.273722,0.264202,0.251422,0.249017,0.24688,0.250266,0.242777,0.227664,0.236835,0.22934,0.224059,0.225165,0.205041,0.221816,0.214212,0.232825,0.24591,0.263281,0.271289,0.303558,0.322429,0.362349,0.419837,0.490526,0.551668,0.625105,0.696424,0.757945,0.844744,0.926576,1.025363,1.055252,1.077594,1.153016,1.292252,1.328753,1.481224,1.545786],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.207469,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.003219,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.001195,0.001075,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.000715,0.001261,0.001796,0.001072,0.001553,0.000579,0.001206,0.001329,0.0,0.0,0.000867,0.0,0.0,0.0,0.001564,0.0,0.000291,0.0,0.000221,0.000208,0.000176,0.0,0.00048,0.000285,0.000128,0.000109,0.000105,0.000472,8.3e-05,0.000821,0.000404,0.000658,0.000515,0.000678,0.000661,0.001136,0.000781,0.000975,0.00066,0.000787,0.000523,0.000563,0.000717,0.000921,0.000953,0.000634,0.000731,0.000775,0.00088,0.000958,0.000751,0.000905,0.00091,0.000896,0.000956,0.000851,0.001061,0.000913,0.000919,0.000798,0.000728,0.000768,0.000786,0.000624,0.000616,0.000656,0.000569,0.000707,0.00061,0.000663,0.000673,0.000709,0.00069,0.000865,0.001091,0.00134,0.002189,0.00169,0.00189,0.001777,0.001493,0.001495,0.001497,0.001861,0.001813,0.00184,0.002023,0.001949,0.001995,0.001934,0.001787],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.917431,0.0,0.0,0.0,0.980392,0.0,0.0,0.689655,0.45045,0.0,0.0,0.0,0.0,0.0,0.729927,0.571429,0.0,0.367647,0.452489,0.0,0.0,0.45045,0.854701,0.0,0.0,0.423729,0.0,0.0,0.542005,0.0,0.29304,0.622407,0.832178,0.445633,0.127389,0.264085,0.097276,0.082781,0.196721,0.0,0.165906,0.272268,0.259837,0.276571,0.216169,0.338855,0.143421,0.415203,0.293803,0.67375,0.337926,0.115848,0.125831,0.228348,0.216388,0.251964,0.296376,0.246124,0.192722,0.180967,0.231771,0.151219,0.21819,0.289962,0.330761,0.200353,0.199226,0.226407,0.202166,0.238547,0.198912,0.180569,0.251119,0.242123,0.229648,0.279141,0.382309,0.328265,0.293883,0.259395,0.10845,0.206054,0.263268,0.300277,0.283262,0.289202,0.372822,0.34297,0.316049,0.355199,0.336567,0.325054,0.34257,0.360055,0.442978,0.515541,0.402817,0.470487,0.467608,0.518827,0.478197,0.474654,0.382172,0.364776,0.35974,0.385836,0.510058,0.538265,0.663654,0.536325,0.553159,0.672154,0.581074,0.616686,0.571258,0.614055,0.672556,0.620377,0.631856,0.750729,0.750332,0.761364,0.780647,0.821831,0.789989,0.679864,0.804961,0.774456,0.782321,0.769883,0.701264,0.693625,0.64916,0.626672,0.606426,0.605011,0.575237,0.545488,0.517291,0.515677,0.496785,0.497281,0.468411,0.444511,0.431673,0.449847,0.44249,0.429647,0.415958,0.42739,0.420813,0.423583,0.436407,0.425636,0.404945,0.406303,0.416694,0.407746,0.402935,0.382572,0.367693,0.384704,0.542557,0.45421,0.445799,0.479114,0.491861,0.475664,0.479611,0.478087,0.503559,0.511518,0.517461,0.537112,0.55323,0.563251,0.591839,0.608382,0.64301,0.65695,0.622867,0.649013,0.678805,0.732688,0.788193,0.816226],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.42735,0.0,0.542005,0.0,0.246914,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.065574,0.059312,0.041477,0.038895,0.0,0.0,0.0,0.037651,0.0,0.0,0.0,0.025913,0.0,0.0,0.0,0.0,0.028852,0.044464,0.0,0.024612,0.03401,0.010645,0.081433,0.01779,0.040193,0.043186,0.049002,0.042933,0.011384,0.016566,0.052948,0.043815,0.024357,0.017664,0.032195,0.028672,0.017665,0.025376,0.060822,0.034554,0.02519,0.068262,0.035765,0.017171,0.041789,0.019126,0.024329,0.043536,0.033458,0.03548,0.049292,0.030962,0.033171,0.02955,0.03404,0.053826,0.047682,0.038612,0.040345,0.047887,0.045045,0.047119,0.04863,0.085643,0.046525,0.054859,0.065618,0.065029,0.077165,0.068889,0.054949,0.076227,0.062443,0.082346,0.065525,0.068447,0.073871,0.073672,0.069206,0.07323,0.070301,0.068144,0.064065,0.061441,0.077215,0.07142,0.069103,0.064449,0.073418,0.072784,0.086139,0.080097,0.088272,0.082557,0.084217,0.080169,0.082992,0.082791,0.090504,0.085452,0.092325,0.114072,0.099949,0.092259,0.087407,0.086805,0.081898,0.080546,0.076502,0.075862,0.087322,0.09219,0.080754,0.072177,0.091055,0.08849,0.083433,0.082441,0.0957,0.084689,0.084534,0.084991,0.085009,0.085866,0.104054,0.097442,0.09775,0.102161,0.100386,0.106931,0.10643,0.111323,0.112476,0.121888,0.124878,0.134589,0.148784,0.153846,0.166449,0.190817,0.217614,0.240563,0.265983,0.298711,0.336177,0.385905,0.438711,0.49572],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.06383,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,3.846154,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,18.348624,0.0,0.0,0.0,0.0,0.0,1.025641,0.689655,0.45045,0.0,0.0,0.0,0.0,0.52356,0.729927,0.0,2.222222,0.367647,0.0,0.540541,0.983607,0.900901,0.0,0.0,0.271003,0.847458,7.407407,0.542005,0.813008,0.921659,3.956044,1.244813,0.277393,0.623886,0.764331,0.704225,0.77821,0.57947,2.688525,3.380783,0.705102,0.816803,0.705271,1.145792,0.951146,1.091867,0.860523,1.756627,0.721154,1.192019,0.935794,0.764597,0.988675,1.500571,0.605886,1.526604,0.781355,0.67684,1.088312,0.840962,0.883237,1.085216,0.803859,1.172188,0.93103,0.987454,1.013206,0.855928,0.943442,0.973662,0.974263,0.812561,1.001256,1.118226,0.844987,0.913551,0.929707,0.773151,1.049582,0.82938,0.408418,0.978757,1.030088,1.103567,1.053107,1.052632,1.021676,1.168679,0.983908,1.038934,0.978147,1.046823,1.028434,1.045251,1.135131,1.151924,1.213493,1.113964,1.131483,1.193509,1.167705,1.224933,1.180412,1.117127,1.01283,1.17745,1.243123,1.263931,1.335834,1.322049,1.382266,1.3833,1.426081,1.432751,1.495687,1.500768,1.5127,1.419512,1.444018,1.478361,1.504157,1.516553,1.501071,1.44651,1.485651,1.3228,1.449982,1.498896,1.472156,1.458304,1.394206,1.444831,1.439125,1.429858,1.369959,1.365258,1.362472,1.350825,1.310405,1.294331,1.305966,1.351358,1.313417,1.267789,1.244626,1.23375,1.261304,1.205565,1.19614,1.305774,1.162863,1.179152,1.292532,1.218092,1.209795,1.229908,1.250803,1.236457,1.19279,1.190235,1.172184,1.155817,1.260824,1.243671,1.221901,1.29613,1.347956,1.377801,1.433097,1.438207,1.558201,1.620951,1.671254,1.743346,1.777433,1.851225,1.980187,2.086565,2.121707,2.13101,2.142926,2.22253,2.363193,2.367488,2.531012,2.640872],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.689655,0.0,0.0,0.961538,0.0,0.657895,0.0,0.0,0.0,0.0,0.367647,0.904977,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.542005,0.230415,0.07326,2.489627,0.416089,5.16934,0.0,0.528169,0.0,0.331126,0.262295,0.0,0.290336,0.350058,0.148478,0.15804,0.345871,0.225904,0.322696,0.159693,0.267094,0.207308,0.233949,0.370714,0.197735,0.260969,0.187536,0.281607,0.350263,0.172286,0.215395,0.149031,0.38211,0.249066,0.235416,0.246776,0.281759,0.429328,0.182149,0.303716,0.264741,0.267757,0.410002,0.174681,0.289752,0.283539,0.326807,0.257994,0.390998,0.315308,0.369453,0.290112,0.10845,0.309081,0.342666,0.286889,0.309329,0.351395,0.409865,0.381675,0.352776,0.324237,0.295305,0.349433,0.407752,0.317867,0.36761,0.30103,0.331583,0.28313,0.297081,0.385755,0.335201,0.370315,0.344951,0.326304,0.306474,0.274854,0.288596,0.235272,0.323064,0.276763,0.289825,0.302324,0.272845,0.268489,0.303785,0.309671,0.314481,0.32298,0.30312,0.30703,0.328509,0.277478,0.317073,0.30254,0.279399,0.26928,0.325263,0.314934,0.307783,0.32074,0.320792,0.306066,0.308881,0.315272,0.302272,0.291062,0.29717,0.261732,0.285286,0.294455,0.287369,0.286757,0.273812,0.317731,0.319991,0.312751,0.336879,0.341598,0.336879,0.331043,0.331126,0.351928,0.336206,0.351887,0.333642,0.331892,0.341325,0.321217,0.316362,0.3123,0.31242,0.325174,0.338911,0.347558,0.359502,0.364201,0.376081,0.370702,0.387958,0.395945,0.416232,0.44279,0.460737,0.49781,0.518213,0.531007,0.571199,0.617709,0.677758,0.699732,0.747657,0.829901,0.896945,0.973962,1.075463,1.15467],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,1.639344,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,0.0,0.0,0.0,7.692308,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,1.818182,0.0,0.0,2.941176,1.360544,0.0,0.689655,0.0,0.0,0.0,0.0,2.631579,0.0,0.0,1.142857,0.0,0.367647,1.357466,0.540541,0.983607,0.900901,0.854701,0.414938,0.0,0.847458,1.234568,0.813008,0.542005,0.921659,1.098901,0.829876,1.386963,0.178253,1.019108,1.144366,1.264591,0.662252,1.04918,0.29656,2.322688,1.905873,2.449889,1.619913,2.031993,1.920181,1.972033,2.90642,1.736111,2.021249,1.923577,1.529194,1.599856,1.46795,1.428159,1.067141,1.333693,1.575191,1.847863,1.479668,0.939614,1.46771,1.619201,1.838485,1.512924,1.268902,1.257969,1.264565,1.477738,1.275498,1.441098,0.830226,1.410128,1.172385,1.274842,1.108104,1.151273,0.907049,1.351862,1.071709,0.515714,1.206888,1.366486,1.222148,1.212985,1.354272,1.485314,1.818065,1.306722,1.368331,1.332513,1.152465,1.349276,1.36239,1.238185,1.185531,1.113261,1.01879,1.026378,0.973965,1.014288,0.922168,0.888632,1.038045,0.631475,0.56965,0.653585,0.68947,0.91282,0.900651,0.982062,1.075738,0.985231,1.098244,0.943312,0.896407,1.034193,0.860054,0.871506,0.873107,0.875296,0.8877,0.876553,0.857625,0.846182,0.794165,0.925349,0.904829,0.919474,0.890094,0.844412,0.852388,0.860953,0.856072,0.817081,0.854691,0.842247,0.776301,0.786959,0.801609,0.834226,0.821861,0.816252,0.822681,0.827707,0.836212,0.860059,0.877481,0.879079,0.908195,0.869328,0.9165,0.874528,0.909781,0.886531,0.853053,0.877132,0.835167,0.810625,0.757051,0.686106,0.729854,0.757375,0.719315,0.699319,0.752442,0.713734,0.706833,0.697566,0.663314,0.686309,0.673328,0.659772,0.677182,0.685849,0.682753,0.71624,0.711591,0.713053,0.684457,0.629751,0.616808,0.582384,0.577779,0.591195,0.584668],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.934579,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.246914,0.271003,0.542005,0.0,0.0,0.0,0.277393,0.089127,0.127389,0.088028,0.194553,0.165563,0.262295,0.0,0.041477,0.116686,0.074239,0.11853,0.129702,0.037651,0.107565,0.287448,0.026709,0.025913,0.207954,0.185357,0.323566,0.097863,0.043278,0.059286,0.107773,0.135368,0.079356,0.180967,0.093961,0.20459,0.086128,0.10488,0.232758,0.081095,0.182149,0.138053,0.182912,0.136313,0.194853,0.1158,0.138437,0.121062,0.108936,0.173406,0.247632,0.073428,0.10076,0.126284,0.071531,0.127557,0.194317,0.122406,0.119908,0.124388,0.142198,0.159121,0.165273,0.158248,0.146439,0.147752,0.223793,0.152751,0.194572,0.166604,0.139946,0.174786,0.152831,0.162586,0.185258,0.218932,0.221992,0.259333,0.197625,0.291328,0.245384,0.293652,0.233534,0.214999,0.219813,0.239182,0.197099,0.226538,0.203769,0.203216,0.227465,0.216173,0.221434,0.24399,0.256914,0.252672,0.264117,0.279951,0.311488,0.284685,0.35189,0.34584,0.356521,0.361472,0.3705,0.394832,0.399013,0.379593,0.382988,0.375108,0.388334,0.369902,0.364254,0.367687,0.363649,0.361526,0.373734,0.389664,0.373443,0.418919,0.431387,0.441658,0.443787,0.46262,0.501081,0.496018,0.510217,0.506969,0.492585,0.509451,0.493238,0.501896,0.462583,0.481349,0.444154,0.437238,0.883097,0.622508,0.579507,0.6065,0.640993,0.599599,0.619341,0.63429,0.637339,0.65962,0.6429,0.670359,0.693334,0.684255,0.713257,0.748168,0.776696,0.770096,0.728859,0.726219,0.726665,0.753405,0.786777,0.793234],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.503759,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,10.526316,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,3.225806,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,5.405405,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.360544,1.025641,0.689655,0.45045,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.655738,0.0,0.0,0.414938,0.0,0.0,10.123457,0.0,0.0,0.230415,5.347985,1.037344,0.416089,0.0,0.254777,0.0,0.291829,0.496689,0.52459,0.118624,0.788055,0.350058,1.002227,0.790202,0.605275,0.865964,0.681248,1.022038,0.480769,0.388702,0.805823,0.996293,0.665109,0.978633,0.634737,1.659997,0.713997,0.910657,1.110985,0.670641,0.732899,0.560399,0.522508,0.771177,0.728899,0.624911,0.60337,0.75653,0.592058,0.77893,0.661687,0.441609,0.688967,0.946191,0.512292,0.718998,0.829785,0.626296,0.675931,0.474419,0.205362,0.549478,0.559967,0.713398,0.606492,0.820959,0.924886,1.25469,0.881457,0.804142,0.850317,0.945613,1.100135,1.036522,1.125134,1.136908,0.909647,0.975093,0.890707,0.993642,1.069287,0.947499,0.834131,0.870618,0.752675,0.897394,0.892023,1.042086,1.00756,0.944433,0.952732,1.052751,1.015372,1.099127,1.088772,1.221236,1.315258,1.215172,1.318501,1.427317,1.243096,1.452705,1.492198,1.519923,1.548112,1.501262,1.738806,1.797398,1.797332,1.759361,1.691171,1.72922,1.725579,1.68309,1.65116,1.601327,1.68151,1.569921,1.583171,1.561579,1.642861,1.624184,1.629063,1.600789,1.563252,1.673288,1.579795,1.645326,1.66828,1.742757,1.707586,1.779953,1.73827,1.838344,1.7425,1.720096,1.707763,1.713277,1.62856,1.681073,1.456174,1.562468,2.745823,2.14226,2.05222,2.261158,2.32502,2.241548,2.304023,2.276068,2.363182,2.432496,2.487842,2.532507,2.679279,2.778673,2.934697,3.047101,3.183562,3.122241,2.975529,3.012477,3.151922,3.234751,3.485174,3.632549],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.025641,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.655738,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14652,0.207469,0.0,0.0,0.0,0.0,0.0,0.082781,0.0,0.0,0.0,0.038895,0.074239,0.0,0.043234,0.037651,0.035855,0.0,0.026709,0.0,0.025994,0.02317,0.017976,0.016311,0.028852,0.059286,0.121245,0.049225,0.011337,0.063871,0.043849,0.088952,0.040193,0.049355,0.055127,0.047703,0.045537,0.049699,0.072202,0.02921,0.077129,0.047105,0.048292,0.082832,0.073605,0.105735,0.082544,0.069109,0.05038,0.13311,0.043841,0.073591,0.100293,0.089892,0.069512,0.076188,0.081256,0.074185,0.08312,0.082564,0.089805,0.076092,0.073149,0.053826,0.059218,0.060063,0.068712,0.068239,0.058987,0.056439,0.061946,0.071771,0.073776,0.07267,0.071794,0.071098,0.076393,0.075894,0.052107,0.063718,0.066228,0.074199,0.066311,0.075071,0.082586,0.08037,0.080401,0.088899,0.077986,0.083967,0.077271,0.090644,0.092507,0.089026,0.084029,0.083952,0.103156,0.089216,0.105614,0.1107,0.12185,0.104553,0.108399,0.12495,0.112435,0.127439,0.127145,0.118969,0.127224,0.123929,0.125628,0.123743,0.122909,0.127901,0.131845,0.140236,0.145312,0.147819,0.170427,0.184296,0.182188,0.195658,0.209904,0.225457,0.215012,0.234275,0.22424,0.213825,0.208171,0.1897,0.171289,0.178274,0.274704,0.222797,0.210871,0.225327,0.241388,0.229896,0.237358,0.230337,0.235034,0.23827,0.230371,0.232568,0.228027,0.224517,0.220689,0.221599,0.241735,0.246164,0.252934,0.274113,0.288449,0.320106,0.343094,0.361985],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.680272,0.512821,0.689655,1.351351,0.0,0.0,1.869159,0.657895,1.04712,0.0,0.0,0.0,0.735294,0.904977,0.0,0.983607,1.351351,0.0,0.829876,0.271003,1.694915,1.481481,0.271003,0.271003,0.691244,0.805861,0.414938,0.416089,1.069519,0.89172,0.616197,0.097276,0.993377,0.918033,0.771056,0.746578,0.777907,0.668151,0.513631,0.951146,1.016566,0.968089,0.670712,0.694444,0.82923,1.143748,0.903614,0.737012,0.750285,1.168494,0.933748,0.916072,0.873739,0.918263,0.872898,0.544976,0.782779,1.154111,1.338762,1.22504,1.07809,1.138434,1.187255,1.12154,1.027214,1.27872,0.84789,1.252374,1.01628,0.986309,0.981221,0.964463,0.786109,1.318275,0.965903,0.32535,0.98121,0.959047,1.124606,1.126095,1.150587,1.284564,1.285869,1.207172,1.123219,1.037208,1.03057,1.158075,1.111442,1.168201,1.17838,1.123978,0.969107,0.940578,1.276356,1.117338,1.033141,1.130563,1.38786,0.885454,0.945081,0.847268,0.739093,0.959717,0.898696,1.01896,1.091451,0.970553,0.991599,0.990623,1.038994,1.081687,0.945755,0.957034,0.970601,0.934232,0.95427,1.02598,0.989586,0.976031,0.876039,0.981773,1.005995,0.963512,0.967197,0.950793,0.906172,0.935418,0.91394,0.865236,0.872822,0.842369,0.807555,0.842019,0.808988,0.835548,0.802015,0.82905,0.824384,0.81206,0.777661,0.798222,0.787227,0.80936,0.790972,0.764961,0.781273,0.806441,0.815148,0.809828,0.791138,0.799969,0.786747,0.72296,0.71334,0.670466,0.680582,0.74225,0.701989,0.720607,0.744496,0.777802,0.759432,0.75457,0.735785,0.812614,0.850994,0.867995,0.921841,0.9784,1.026078,1.102792,1.200793,1.284281,1.296309,1.302053,1.352895,1.498191,1.556295,1.738349,1.895427],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.351351,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.983607,0.900901,0.0,0.0,0.0,0.0,0.0,0.271003,0.271003,0.230415,0.3663,0.414938,0.0,0.089127,0.0,0.0,0.097276,0.082781,0.065574,0.0,0.041477,0.116686,0.03712,0.553141,0.216169,0.564759,0.430262,0.191632,0.133547,0.155481,0.285937,0.370714,0.39547,0.163106,0.17311,0.163035,0.255961,0.147674,0.192722,0.212902,0.200451,0.302437,0.177997,0.215929,0.269509,0.372084,0.193534,0.292672,0.12515,0.160654,0.414062,0.174681,0.251119,0.213451,0.135434,0.21147,0.364932,0.177091,0.289685,0.208198,0.073838,0.196242,0.225658,0.260113,0.224176,0.293866,0.328609,0.354797,0.255159,0.294135,0.336567,0.30954,0.356331,0.354236,0.353767,0.440462,0.378232,0.368129,0.372156,0.448925,0.434199,0.427611,0.358909,0.42676,0.381355,0.430055,0.418232,0.447192,0.528176,0.462834,0.4863,0.527539,0.507686,0.49326,0.536605,0.551662,0.584013,0.550665,0.567105,0.57182,0.570471,0.593684,0.616211,0.638962,0.687602,0.610164,0.723585,0.789652,0.780044,0.777633,0.753904,0.759259,0.795686,0.805918,0.78761,0.771194,0.753676,0.749818,0.771467,0.792668,0.779924,0.781307,0.75444,0.785061,0.818217,0.772456,0.804371,0.816208,0.839806,0.8369,0.812283,0.827714,0.829735,0.853249,0.806091,0.807187,0.766081,0.75613,0.698498,0.681132,0.632915,0.635371,0.63394,0.641403,0.638534,0.609241,0.621279,0.585277,0.575878,0.557074,0.562859,0.573905,0.58565,0.604444,0.61343,0.627962,0.667136,0.682311,0.710076,0.698836,0.67375,0.662733,0.692036,0.689818,0.731243,0.766524],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.025641,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.07326,0.0,0.138696,0.178253,0.0,0.088028,0.0,0.0,0.131148,0.059312,0.082953,0.077791,0.111359,0.15804,0.302637,0.188253,0.394407,0.255509,0.053419,0.155481,0.259943,0.162187,0.215711,0.130484,0.17311,0.251964,0.215546,0.233817,0.283415,0.287418,0.162866,0.124533,0.114837,0.148066,0.134754,0.15742,0.193534,0.204318,0.197353,0.160654,0.182674,0.107949,0.151315,0.181592,0.100103,0.164947,0.139022,0.198687,0.205718,0.215024,0.059994,0.144728,0.167154,0.130056,0.107744,0.144601,0.166097,0.166647,0.138211,0.142767,0.12864,0.126328,0.152092,0.156388,0.162271,0.172324,0.177769,0.156829,0.141033,0.170353,0.155154,0.145351,0.138911,0.129667,0.138955,0.157803,0.155101,0.165216,0.163427,0.165745,0.169984,0.175749,0.175082,0.16626,0.164135,0.171139,0.169793,0.17668,0.166076,0.181717,0.169057,0.211537,0.218902,0.208032,0.246116,0.2091,0.225817,0.224533,0.222226,0.229239,0.232374,0.229789,0.238056,0.225889,0.219252,0.230608,0.217405,0.226108,0.216534,0.222443,0.228997,0.243439,0.243927,0.236702,0.240915,0.243089,0.251096,0.249129,0.257991,0.247612,0.239754,0.237945,0.235292,0.231579,0.223133,0.230941,0.223397,0.197113,0.199534,0.198854,0.20192,0.201683,0.222688,0.212824,0.210082,0.224184,0.218248,0.223895,0.220508,0.229925,0.238002,0.244907,0.246303,0.25884,0.270855,0.281599,0.301068,0.304602,0.333532,0.334921,0.327492,0.340462,0.348343,0.358376,0.379883,0.395673],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.207469,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.038895,0.0,0.03951,0.0,0.0,0.035855,0.191632,0.026709,0.0,0.025994,0.046339,0.0,0.0,0.028852,0.029643,0.0,0.049225,0.011337,0.063871,0.050113,0.008895,0.045935,0.018508,0.018376,0.066784,0.017077,0.027611,0.028881,0.024342,0.032475,0.031403,0.022536,0.025487,0.026498,0.050753,0.017378,0.038874,0.041983,0.003413,0.017306,0.022077,0.012537,0.026776,0.026067,0.024878,0.031069,0.034405,0.013531,0.015481,0.01699,0.018469,0.021727,0.021822,0.023841,0.020736,0.018912,0.029331,0.021986,0.021229,0.024315,0.032568,0.042537,0.035623,0.034739,0.040751,0.040897,0.055461,0.067265,0.041827,0.04699,0.051503,0.049537,0.046588,0.046896,0.044591,0.065814,0.062198,0.068451,0.070185,0.079453,0.06814,0.069758,0.060126,0.066417,0.048813,0.061331,0.055734,0.059057,0.056231,0.064921,0.058751,0.063609,0.056517,0.0606,0.064582,0.069566,0.071113,0.073964,0.0743,0.077161,0.089349,0.081686,0.088465,0.088999,0.09043,0.092454,0.081182,0.084444,0.083877,0.080346,0.088408,0.086126,0.086983,0.094629,0.084287,0.084079,0.081507,0.071903,0.077303,0.07829,0.078787,0.088684,0.088948,0.085204,0.092159,0.095564,0.096901,0.09928,0.103594,0.111384,0.119973,0.117707,0.12517,0.125192,0.122218,0.125606,0.127007,0.134474,0.138287,0.137483,0.143713,0.14522,0.153228,0.162013,0.166511],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.834862,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.089127,0.254777,0.0,0.097276,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.063877,0.0,0.129567,0.025994,0.0,0.0,0.016311,0.014426,0.0,0.013472,0.036919,0.011337,0.053225,0.006264,0.044476,0.040193,0.018508,0.024501,0.057244,0.028461,0.060743,0.024067,0.038946,0.016238,0.025515,0.025756,0.019115,0.032386,0.088817,0.069511,0.056151,0.029388,0.013652,0.011537,0.04906,0.033431,0.019126,0.034756,0.029542,0.039433,0.024728,0.032861,0.033542,0.036407,0.040632,0.039109,0.040733,0.038453,0.031462,0.043497,0.026936,0.026812,0.032621,0.045157,0.044028,0.045196,0.037048,0.040143,0.066763,0.036267,0.056629,0.045475,0.044954,0.040683,0.054703,0.035908,0.049458,0.043161,0.045825,0.050039,0.039653,0.039135,0.037517,0.038526,0.041972,0.048425,0.038285,0.037164,0.037504,0.046372,0.054858,0.057943,0.062219,0.06767,0.070352,0.062439,0.060299,0.05928,0.058286,0.055012,0.060941,0.06111,0.05245,0.05164,0.047088,0.047436,0.048603,0.044263,0.047379,0.050885,0.055405,0.051854,0.057248,0.055743,0.056341,0.060263,0.062131,0.060822,0.064559,0.064763,0.062437,0.063676,0.067235,0.070014,0.072368,0.116312,0.101621,0.096051,0.10585,0.11323,0.121883,0.126921,0.133749,0.138233,0.147507,0.146116,0.142592,0.148129,0.15224,0.153323,0.154383,0.166324,0.170704,0.189582,0.183032,0.191229,0.206932,0.228562,0.222293],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.207469,0.0,0.445633,0.254777,0.704225,0.0,0.0,0.065574,0.118624,0.0,0.077791,0.0,0.03951,0.0,0.037651,0.07171,0.095816,0.0,0.025913,0.051989,0.046339,0.035952,0.065242,0.057703,0.014821,0.134716,0.024612,0.022673,0.010645,0.068905,0.026686,0.017226,0.037016,0.061252,0.085866,0.062614,0.011044,0.081829,0.107103,0.109605,0.121688,0.06117,0.079646,0.05594,0.0719,0.095577,0.095024,0.083967,0.078501,0.025382,0.076044,0.127455,0.091805,0.135548,0.091736,0.132639,0.094612,0.078287,0.067944,0.07686,0.078309,0.102843,0.105471,0.126126,0.108686,0.117252,0.155033,0.148541,0.136697,0.138944,0.169476,0.135588,0.146053,0.156711,0.162138,0.167447,0.165216,0.15869,0.170827,0.184176,0.231035,0.146776,0.149259,0.194846,0.163384,0.152322,0.169484,0.185572,0.138712,0.17113,0.135547,0.13659,0.142425,0.13664,0.121398,0.107823,0.119298,0.122183,0.122501,0.115875,0.10913,0.107782,0.109583,0.108249,0.099407,0.093219,0.109066,0.096282,0.094548,0.097746,0.102125,0.102231,0.098427,0.103006,0.104905,0.112618,0.102177,0.103114,0.096272,0.105106,0.09866,0.099993,0.106104,0.105218,0.10777,0.10394,0.103434,0.100184,0.098348,0.103349,0.110532,0.117254,0.122078,0.127167,0.130962,0.150212,0.14584,0.156914,0.166355,0.184758,0.203898,0.222408,0.245373,0.264822,0.285844,0.30409,0.330961,0.363816,0.395272,0.422694,0.465494,0.503144,0.542376,0.587719,0.614648],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.540541,0.327869,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.138696,0.0,0.0,0.088028,0.0,0.0,0.065574,0.059312,0.0,0.0,0.0,0.11853,0.086468,0.0,0.07171,0.063877,0.080128,0.025913,0.025994,0.02317,0.035952,0.016311,0.072129,0.029643,0.094301,0.049225,0.03401,0.063871,0.025056,0.044476,0.045935,0.055525,0.049002,0.062014,0.073998,0.033133,0.086643,0.048683,0.048713,0.015702,0.028975,0.025487,0.038275,0.063441,0.047789,0.051831,0.05038,0.040957,0.028843,0.026983,0.033431,0.019126,0.022591,0.024878,0.022704,0.025803,0.032861,0.028381,0.032362,0.053929,0.025349,0.034914,0.034608,0.024311,0.022694,0.023345,0.023059,0.01864,0.030683,0.023522,0.021269,0.022086,0.027019,0.016474,0.025464,0.016346,0.023211,0.022673,0.018922,0.023278,0.017299,0.015014,0.017845,0.01692,0.017132,0.016948,0.01295,0.016079,0.015934,0.017375,0.018313,0.016028,0.01694,0.013848,0.01819,0.016895,0.016763,0.018802,0.018769,0.021003,0.020477,0.018489,0.01843,0.018941,0.020669,0.020321,0.020182,0.02,0.019916,0.018253,0.018235,0.017923,0.017104,0.018867,0.018133,0.016476,0.017392,0.018501,0.016434,0.017797,0.01694,0.016776,0.016685,0.015942,0.016612,0.016498,0.016269,0.015653,0.016202,0.017293,0.020385,0.018059,0.018142,0.017781,0.018789,0.018918,0.017446,0.018903,0.018607,0.01934,0.019514,0.018782,0.019316,0.019411,0.018597,0.017963,0.018604,0.017828,0.023387,0.016048,0.013662,0.014296,0.01383,0.010974],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.0,0.0,8.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.818182,1.06383,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.230415,0.0,0.0,0.0,0.0,0.0,0.176056,0.194553,0.0,0.196721,0.415184,0.331813,0.038895,0.593912,0.11853,0.129702,0.376506,0.07171,0.031939,0.240385,0.051827,0.025994,0.115848,0.107855,0.114174,0.129833,0.044464,0.067358,0.135368,0.113366,0.074516,0.206715,0.071162,0.09187,0.067864,0.104128,0.085866,0.102459,0.138053,0.11071,0.063288,0.081189,0.041217,0.103023,0.108318,0.097159,0.093047,0.052133,0.103663,0.062975,0.081914,0.032304,0.04906,0.085667,0.047815,0.036494,0.0482,0.031069,0.043006,0.050259,0.027521,0.044498,0.054668,0.052146,0.054554,0.046144,0.072934,0.066821,0.057464,0.033247,0.055921,0.040525,0.048249,0.043867,0.044885,0.064846,0.050289,0.057102,0.05838,0.04737,0.038309,0.051721,0.042773,0.034335,0.026054,0.037558,0.03525,0.029854,0.027661,0.037427,0.028457,0.027612,0.034646,0.029357,0.025994,0.02485,0.025618,0.025909,0.023077,0.029117,0.026024,0.032625,0.024728,0.025645,0.026203,0.025988,0.026543,0.026393,0.026482,0.029163,0.0298,0.0276,0.030152,0.026385,0.029006,0.025702,0.025135,0.024329,0.025141,0.024608,0.024449,0.024603,0.026338,0.026524,0.026998,0.027131,0.029623,0.028227,0.028349,0.028544,0.030452,0.031931,0.035544,0.036508,0.039869,0.043236,0.047252,0.055319,0.057599,0.06085,0.068715,0.075336,0.08046,0.083201,0.09243,0.092292,0.098213,0.104755,0.107901,0.111992,0.119944,0.119794,0.124801,0.128611,0.132619,0.128398,0.136533],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,50.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,31.578947,0.0,2.020202,0.0,0.0,0.0,0.0,0.0,0.0,6.25,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.684564,0.0,0.0,0.0,4.081633,0.0,5.454545,0.0,1.980198,2.941176,0.680272,1.538462,0.689655,0.45045,2.631579,0.0,2.803738,2.631579,0.52356,0.729927,1.714286,2.222222,2.941176,2.714932,1.081081,2.295082,3.603604,1.282051,3.319502,1.626016,1.271186,2.222222,0.271003,2.439024,2.764977,0.14652,1.452282,1.664355,1.158645,0.89172,2.024648,1.361868,1.572848,1.901639,4.982206,3.732891,0.622326,2.33853,0.829712,1.124081,1.581325,1.290785,1.181731,1.148504,1.321586,1.325708,1.598703,1.545928,1.419018,2.29371,1.156069,1.172033,1.439823,1.700487,1.543538,1.34678,0.996264,1.383785,1.15368,1.359794,1.311835,1.730419,1.579325,1.145608,1.377732,1.432979,0.951914,1.574321,1.819109,1.604593,2.017425,2.024503,1.844333,1.771695,2.70999,0.770686,1.425207,1.420811,1.176246,1.237314,1.341833,1.173434,1.17728,1.275794,1.211803,1.255653,1.472348,1.38404,1.373301,1.443524,1.405762,1.410173,1.503642,1.305227,1.424962,1.388857,1.445674,1.507417,1.497578,1.359447,1.480916,1.560269,1.453083,1.331097,1.281786,1.200928,1.280003,1.197531,1.243749,1.242947,1.240976,1.262845,1.339087,1.287904,1.341946,1.35278,1.359131,1.255832,1.350009,1.388712,1.271448,1.313439,1.346735,1.395998,1.442231,1.423532,1.410311,1.463568,1.461764,1.454918,1.453562,1.444513,1.49668,1.530079,1.486917,1.518836,1.485048,1.44738,1.476577,1.436342,1.453356,1.421837,1.391688,1.434424,1.325397,1.310951,1.283686,1.292487,1.216152,1.178368,1.178717,1.121656,1.108113,1.122827,1.10012,1.137135,1.160042,1.109212,1.137871,1.188464,1.105462,1.179282,1.180134,1.141018,1.134545,1.121962,1.128517,1.098498,1.126971,1.117552,1.120456,1.129869,1.126967,1.127441,1.128516,1.16338,1.145423,1.143686,1.131773,1.11927,1.150392],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,4.166667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.545455,0.0,0.0,0.0,0.0,0.0,0.0,2.013423,0.0,0.0,0.0,2.040816,0.917431,0.0,0.0,0.990099,0.980392,1.360544,1.025641,1.37931,0.0,0.0,0.961538,0.934579,0.657895,0.0,0.0,0.0,0.0,0.735294,0.0,0.0,0.327869,0.900901,0.42735,0.0,0.271003,1.271186,0.0,0.0,0.542005,0.0,0.07326,0.0,0.832178,1.604278,2.547771,1.232394,1.653696,2.235099,2.098361,1.779359,1.20282,1.711396,1.039347,0.948242,1.167315,1.167169,0.717103,1.405302,1.148504,1.088365,1.27372,1.297498,1.689736,2.218235,2.192729,2.22321,1.832143,1.575191,1.349053,1.266766,0.68905,1.458815,1.33785,1.530014,1.212789,1.154415,1.514117,1.358441,1.43923,1.479967,0.953966,1.740922,1.152571,0.949377,0.727219,0.773981,0.825441,0.764513,0.877451,0.675791,0.280354,0.58382,0.808608,0.556565,0.550883,0.548861,0.530555,0.519293,0.469724,0.440343,0.528313,0.419616,0.425134,0.456797,0.436826,0.371104,0.3423,0.391474,0.627946,0.40802,0.371095,0.403486,0.436673,0.569963,0.357424,0.339882,0.333351,0.366044,0.430593,0.385044,0.373083,0.3934,0.351213,0.366302,0.347361,0.347917,0.341791,0.364392,0.370148,0.362923,0.369436,0.369587,0.34558,0.340907,0.377457,0.298764,0.31904,0.327193,0.304537,0.317922,0.30195,0.292478,0.293864,0.285407,0.283898,0.28555,0.284964,0.282031,0.295335,0.291061,0.312361,0.298395,0.318,0.314467,0.317011,0.300815,0.323932,0.300585,0.308536,0.295294,0.321541,0.293756,0.300692,0.312257,0.310036,0.303537,0.306456,0.301338,0.300659,0.301016,0.298606,0.314432,0.298945,0.318874,0.316807,0.332659,0.339047,0.346429,0.344303,0.349641,0.344748,0.352615,0.337912,0.339266,0.344847,0.340789,0.340313,0.344101,0.350828,0.342235,0.342785,0.352323,0.36512,0.357669,0.371826,0.381425],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.111111,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.111359,0.0,0.043234,0.037651,0.0,0.031939,0.0,0.155481,0.077983,0.0,0.0,0.016311,0.0,0.0,0.026943,0.036919,0.011337,0.010645,0.087697,0.044476,0.040193,0.037016,0.042876,0.062014,0.062614,0.022088,0.024067,0.053551,0.044654,0.086359,0.045073,0.028672,0.044163,0.114194,0.14771,0.090705,0.054578,0.023892,0.021921,0.041701,0.083577,0.047815,0.043445,0.045091,0.043018,0.081711,0.059924,0.036982,0.066343,0.07166,0.065907,0.063282,0.092287,0.071504,0.066821,0.064647,0.075075,0.09372,0.093208,0.078405,0.073776,0.07837,0.076425,0.081502,0.077165,0.071224,0.079108,0.082481,0.081681,0.097186,0.092783,0.095163,0.098772,0.096409,0.098212,0.094336,0.092074,0.099281,0.100517,0.090016,0.103268,0.107213,0.118133,0.103396,0.113328,0.120637,0.125429,0.125848,0.136587,0.143649,0.132712,0.133114,0.139435,0.164485,0.14598,0.147602,0.159046,0.167742,0.165266,0.167451,0.167291,0.184253,0.18636,0.172002,0.192531,0.192595,0.198568,0.195189,0.195514,0.193826,0.203349,0.220534,0.222628,0.223225,0.227391,0.220435,0.228053,0.222078,0.22071,0.222909,0.244041,0.237692,0.247834,0.256617,0.253433,0.257434,0.270957,0.277368,0.296151,0.318694,0.332377,0.352381,0.36885,0.385578,0.416945,0.435052,0.463017,0.476316,0.486318,0.53342,0.578476,0.602649,0.657022,0.697898],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,52.0,0.0,52.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,21.875,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.671141,0.0,0.0,0.0,0.0,4.587156,0.0,0.0,0.0,0.980392,0.680272,5.641026,0.689655,0.45045,0.0,0.961538,1.869159,0.0,1.570681,0.729927,0.571429,0.0,1.102941,0.452489,1.081081,0.0,0.0,0.0,0.414938,0.271003,0.0,0.246914,0.542005,0.0,0.460829,0.29304,0.414938,0.693481,0.0,0.254777,0.616197,0.291829,0.248344,0.393443,0.29656,0.829531,0.466744,0.668151,0.632161,0.518807,0.414157,0.645393,0.606835,1.068376,0.570096,0.753834,0.417053,0.341542,0.456695,0.389498,0.400178,0.525394,0.627615,0.532819,0.308708,0.557504,0.311333,0.574185,0.351656,0.47164,0.415017,0.648907,0.640565,0.476534,0.564724,0.548023,0.461237,0.527993,0.589378,0.515236,0.676704,0.690764,0.686766,0.684328,0.747466,0.242282,0.55929,0.484747,0.548915,0.566523,0.508435,0.464833,0.444034,0.421399,0.456684,0.493524,0.497924,0.442516,0.451705,0.444516,0.543428,0.474681,0.466895,0.501928,0.469119,0.479355,0.509635,0.471234,0.411086,0.463185,0.51676,0.486909,0.470544,0.468016,0.524989,0.476524,0.625598,0.452383,0.439386,0.453396,0.457016,0.455778,0.475356,0.414406,0.426855,0.43743,0.490062,0.440259,0.433504,0.430815,0.386523,0.434402,0.414966,0.418581,0.439939,0.473655,0.43329,0.430932,0.432238,0.421872,0.454241,0.445547,0.439446,0.467695,0.476134,0.480852,0.48891,0.476858,0.538738,0.512665,0.50746,0.541661,0.526976,0.51263,0.512927,0.528844,0.535759,0.536318,0.552977,0.560532,0.599634,0.615434,0.639326,0.654733,0.657581,0.700766,0.722407,0.702318,0.750016,0.743265,0.789933,0.781161,0.821347,0.852852,0.861407,0.862385,0.91742,0.917597,0.969379,0.966597,0.994107,1.015919,1.022553,1.07383,1.070284,1.068588,1.192705,1.227643,1.207844,1.212186,1.199843],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,6.666667,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.0,0.0,1.06383,4.950495,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.729927,0.571429,0.0,0.0,1.357466,0.0,0.0,0.0,0.42735,0.414938,1.084011,0.0,0.246914,1.084011,0.813008,0.0,0.07326,0.0,0.0,0.26738,0.509554,0.176056,0.583658,0.496689,0.196721,0.237248,0.207383,0.116686,0.259837,0.03951,0.129702,0.188253,0.07171,0.255509,0.240385,0.181394,0.155966,0.115848,0.107855,0.212037,0.245239,0.163035,0.229018,0.196899,0.170049,0.202257,0.288148,0.177904,0.275609,0.265285,0.208257,0.205123,0.233379,0.276106,0.250301,0.199601,0.292279,0.319921,0.199607,0.299468,0.294421,0.372187,0.421409,0.328265,0.344263,0.317417,0.109604,0.272286,0.286252,0.365306,0.286737,0.374718,0.322635,0.406404,0.338279,0.318217,0.321195,0.359776,0.365746,0.336051,0.393758,0.385405,0.373819,0.368129,0.401113,0.397664,0.414515,0.393233,0.420056,0.39185,0.424586,0.422252,0.39817,0.412748,0.378013,0.349471,0.419757,0.341024,0.381616,0.35747,0.336779,0.387397,0.382331,0.354159,0.348659,0.338549,0.332001,0.331592,0.332648,0.328284,0.378353,0.319708,0.307133,0.300305,0.305022,0.299516,0.323322,0.31082,0.364494,0.368397,0.402683,0.397732,0.405188,0.434808,0.447827,0.456344,0.45045,0.458531,0.466772,0.482898,0.483655,0.463233,0.472132,0.450258,0.435202,0.461488,0.439061,0.449641,0.416645,0.407662,0.446272,0.46732,0.430796,0.436539,0.462832,0.448927,0.482204,0.465287,0.472546,0.455303,0.481138,0.490596,0.492549,0.508677,0.511385,0.513549,0.517381,0.545545,0.539102,0.535055,0.550055,0.553229,0.565852,0.568523,0.582913,0.590738,0.610641,0.634586,0.679118,0.665868,0.693411,0.703021],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,10.526316,0.0,2.702703,2.222222,0.0,0.0,0.0,3.636364,0.0,0.0,0.980392,1.360544,0.0,0.0,0.45045,0.877193,0.961538,0.0,1.315789,0.0,0.0,1.714286,0.0,0.367647,0.452489,0.540541,0.655738,0.900901,0.0,0.829876,0.542005,0.847458,0.493827,0.271003,0.0,0.0,0.14652,3.112033,0.0,0.623886,0.382166,0.176056,0.194553,0.082781,0.196721,0.237248,0.290336,0.272268,0.03712,0.19755,0.302637,0.376506,0.537827,0.542958,0.293803,0.518269,0.415909,0.370714,0.269639,0.489317,0.331795,0.222321,0.390678,0.295348,0.328761,0.223547,0.281884,0.195695,0.206706,0.31464,0.220507,0.248056,0.256148,0.309239,0.158845,0.146049,0.28822,0.1158,0.193168,0.258052,0.185485,0.304517,0.243288,0.220283,0.260296,0.296938,0.094605,0.206054,0.252821,0.156833,0.177256,0.177253,0.117104,0.14837,0.16334,0.140187,0.135112,0.152185,0.149195,0.130202,0.12228,0.138717,0.118513,0.14785,0.10296,0.146535,0.161522,0.171889,0.151539,0.153178,0.172922,0.16734,0.189053,0.171638,0.141163,0.137209,0.144439,0.160619,0.126332,0.123646,0.119107,0.121084,0.134342,0.123756,0.125802,0.120336,0.117761,0.123719,0.11082,0.123906,0.114401,0.106973,0.120508,0.105647,0.118065,0.125408,0.156126,0.120092,0.122831,0.12378,0.12682,0.126107,0.13737,0.149731,0.158878,0.14555,0.150426,0.153618,0.167425,0.153899,0.153425,0.15017,0.149175,0.153271,0.142739,0.153316,0.151351,0.156729,0.157176,0.168397,0.167575,0.188302,0.182232,0.175748,0.184348,0.192421,0.203752,0.215575,0.204598,0.215113,0.208313,0.225288,0.22635,0.223997,0.225941,0.234852,0.240664,0.25203,0.257801,0.274573,0.276707,0.268174,0.274826,0.280316,0.293199,0.307878,0.31027,0.334553,0.339319,0.357912,0.353589,0.342548],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,5.882353,0.0,0.0,0.0,7.692308,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,3.030303,10.526316,0.671141,0.0,0.0,0.0,0.0,0.917431,0.0,1.06383,0.0,1.960784,2.721088,3.076923,0.0,0.0,2.631579,0.0,3.738318,1.315789,1.04712,1.459854,0.571429,0.0,0.367647,0.452489,0.540541,0.327869,0.900901,0.854701,0.414938,1.626016,0.423729,0.493827,0.542005,0.0,0.230415,0.14652,0.622407,0.416089,0.178253,0.0,0.704225,0.972763,0.57947,1.704918,0.652432,0.746578,0.272268,0.593912,0.355591,0.734976,0.489458,0.968089,0.542958,0.988248,1.036538,0.675851,0.857275,0.48535,0.652422,0.735718,0.859641,0.538866,0.603003,0.589502,0.766447,0.645202,0.533713,0.723473,0.431859,0.477766,0.634451,0.774135,0.635043,0.486161,0.559856,0.929609,0.838077,0.627797,0.67221,0.686,0.78244,0.695108,0.945923,0.827071,0.935186,0.28843,0.686847,0.639365,0.512575,0.644724,0.541087,0.498291,0.485964,0.470691,0.492806,0.575238,0.502357,0.426583,0.464798,0.476817,0.544143,0.478463,0.483057,0.430607,0.486724,0.477619,0.47767,0.449301,0.459533,0.439253,0.371096,0.39354,0.36546,0.360486,0.383871,0.333661,0.330258,0.311112,0.30492,0.316858,0.316369,0.298876,0.310988,0.276081,0.268874,0.280597,0.299982,0.287905,0.273058,0.294847,0.261548,0.28296,0.257603,0.251003,0.293043,0.302647,0.266899,0.260126,0.257374,0.27783,0.277138,0.282836,0.294734,0.326863,0.303149,0.321878,0.311853,0.319385,0.334306,0.35878,0.355313,0.367519,0.357153,0.362866,0.34433,0.367275,0.36697,0.396016,0.378636,0.390591,0.412205,0.41906,0.423838,0.453966,0.445925,0.454736,0.488037,0.470893,0.491476,0.490268,0.514312,0.516103,0.520191,0.507336,0.498863,0.486763,0.482405,0.460535,0.470127,0.451231,0.43893,0.446075,0.426813,0.415587,0.427882,0.397347,0.388608,0.361827,0.36321,0.339195,0.335062],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.207469,0.138696,0.089127,0.0,0.352113,0.291829,0.082781,0.0,0.118624,0.165906,0.038895,0.148478,0.15804,0.129702,0.037651,0.107565,0.095816,0.186966,0.103654,0.077983,0.0,0.017976,0.048932,0.072129,0.10375,0.094301,0.098449,0.113366,0.149031,0.175395,0.177904,0.114837,0.203591,0.134754,0.109717,0.170765,0.088354,0.129964,0.146049,0.150199,0.16683,0.106243,0.092389,0.126601,0.173406,0.104266,0.090705,0.17633,0.098979,0.038073,0.088309,0.106561,0.089892,0.095579,0.122833,0.141003,0.102138,0.144977,0.117826,0.122167,0.181735,0.167302,0.146204,0.133816,0.130852,0.125447,0.129893,0.116366,0.147053,0.171364,0.119417,0.142234,0.12183,0.147447,0.12919,0.152786,0.165216,0.127425,0.154408,0.148855,0.155381,0.158308,0.158974,0.148158,0.161621,0.158258,0.1471,0.171626,0.152494,0.180625,0.146642,0.137911,0.166426,0.160669,0.149266,0.154195,0.154067,0.153528,0.162088,0.183692,0.174302,0.171424,0.189991,0.19509,0.196698,0.204074,0.233412,0.204957,0.217676,0.238761,0.233069,0.240053,0.244493,0.236912,0.223772,0.243219,0.213249,0.22365,0.231236,0.239667,0.227669,0.223229,0.237186,0.25096,0.263547,0.257096,0.254432,0.246926,0.262304,0.235769,0.249388,0.241378,0.253115,0.265175,0.257414,0.27896,0.284345,0.286901,0.293485,0.307272,0.320836,0.327165,0.344369,0.358778,0.365634,0.397809,0.416674,0.451394,0.475335,0.533289,0.607391,0.710233,0.735419,0.825206,0.870642],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.277393,0.356506,0.127389,0.176056,0.097276,0.0,0.131148,0.118624,0.165906,0.0,0.0,0.15804,0.086468,0.037651,0.035855,0.031939,0.053419,0.025913,0.103977,0.0,0.071904,0.081553,0.086555,0.148214,0.053887,0.086143,0.03401,0.159676,0.10649,0.080057,0.132062,0.117219,0.15313,0.143109,0.153689,0.127009,0.11071,0.048683,0.170496,0.104024,0.189949,0.127433,0.123657,0.194553,0.212877,0.155494,0.188925,0.122871,0.04038,0.132463,0.175512,0.162571,0.178993,0.185027,0.175657,0.209653,0.18847,0.18577,0.15372,0.230493,0.210757,0.21967,0.226872,0.227382,0.185333,0.19035,0.196803,0.210223,0.208994,0.200235,0.229968,0.227985,0.198397,0.193351,0.154329,0.196157,0.221692,0.247444,0.263018,0.255768,0.241131,0.266281,0.241327,0.273892,0.27021,0.281248,0.26925,0.287633,0.268592,0.294539,0.262135,0.250718,0.256489,0.215158,0.234075,0.22443,0.219319,0.207442,0.198612,0.180511,0.191121,0.180837,0.172502,0.175353,0.166062,0.167923,0.159716,0.156913,0.157053,0.147881,0.15138,0.139552,0.141165,0.136333,0.142748,0.12949,0.128548,0.123504,0.125759,0.122588,0.120623,0.126018,0.127645,0.128132,0.137123,0.130393,0.121588,0.129318,0.119134,0.119314,0.115599,0.115854,0.118251,0.120294,0.120466,0.116141,0.11708,0.120727,0.120069,0.123577,0.12438,0.131238,0.136529,0.140049,0.145746,0.15215,0.160518,0.168157,0.174344,0.191427,0.205496,0.214681,0.228027,0.230491],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.729927,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.445633,0.0,0.0,0.097276,0.0,0.0,0.059312,0.0,0.038895,0.074239,0.19755,0.043234,0.037651,0.179276,0.127755,0.186966,0.207308,0.155966,0.115848,0.143807,0.114174,0.158684,0.10375,0.094301,0.073837,0.136039,0.244837,0.162866,0.115638,0.114837,0.289962,0.226632,0.205123,0.26184,0.309239,0.149218,0.131444,0.231388,0.178606,0.18351,0.197521,0.094215,0.321435,0.269354,0.207326,0.22671,0.191133,0.096913,0.152088,0.194317,0.187434,0.191158,0.264324,0.271252,0.209653,0.226163,0.208991,0.253234,0.252656,0.267972,0.24731,0.233794,0.253838,0.249002,0.271158,0.257935,0.326726,0.28194,0.249691,0.320359,0.354802,0.331177,0.260981,0.296312,0.301826,0.292747,0.24979,0.327985,0.242092,0.254236,0.269372,0.25772,0.235646,0.263934,0.300275,0.216738,0.227656,0.214677,0.216037,0.202006,0.211105,0.213728,0.229872,0.218637,0.180852,0.200812,0.196566,0.216318,0.18899,0.215693,0.198185,0.196776,0.219244,0.207669,0.218536,0.211405,0.218134,0.220361,0.215953,0.209303,0.215501,0.225885,0.211524,0.225004,0.217385,0.207264,0.209821,0.213267,0.202825,0.203238,0.201296,0.205643,0.211829,0.217312,0.209194,0.198198,0.203495,0.20164,0.207745,0.208297,0.228746,0.235158,0.26085,0.270727,0.282376,0.294392,0.317341,0.3453,0.370764,0.385099,0.429161,0.442048,0.475544,0.490757,0.527315,0.572028,0.583801,0.618934,0.679454,0.742642,0.739045,0.780976,0.777554],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025994,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.023852,0.0,0.005522,0.0,0.004868,0.004059,0.003925,0.022536,0.003186,0.005888,0.021147,0.0,0.004319,0.004198,0.017065,0.008076,0.002453,0.006268,0.009563,0.001738,0.007774,0.003585,0.003225,0.005799,0.0043,0.008091,0.010343,0.004345,0.003637,0.000769,0.00429,0.006934,0.003592,0.00429,0.010874,0.009842,0.007237,0.009305,0.010687,0.018527,0.026011,0.020063,0.019849,0.016106,0.026191,0.017976,0.016295,0.022016,0.025612,0.01992,0.019035,0.020524,0.015829,0.017219,0.015951,0.013861,0.013816,0.015575,0.012706,0.009776,0.008482,0.008676,0.012414,0.008817,0.009115,0.013893,0.007592,0.006663,0.007294,0.00708,0.008282,0.007191,0.007326,0.007851,0.009285,0.008231,0.009655,0.008477,0.009593,0.009189,0.008533,0.00869,0.009258,0.010105,0.010299,0.008534,0.009039,0.008596,0.008385,0.007589,0.008658,0.008819,0.009952,0.011792,0.014165,0.014246,0.0164,0.01377,0.015312,0.016166,0.017578,0.016126,0.016505,0.01589,0.016706,0.016768,0.019106,0.018092,0.020687,0.022062,0.022168,0.024713,0.02816,0.031885,0.033949,0.040563,0.041997,0.046169,0.04955,0.048382,0.05149],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,11.278195,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,3.278689,0.0,0.0,0.0,15.0,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.960784,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.423729,0.246914,0.0,0.0,0.0,0.0,0.207469,0.0,0.534759,0.0,1.93662,0.097276,0.082781,0.065574,0.059312,0.082953,0.116686,0.03712,0.07902,0.259403,0.075301,0.250986,0.159693,0.267094,0.181394,0.155966,0.278035,0.233687,0.195727,0.129833,0.622499,0.673582,0.233817,0.476136,0.372578,0.206715,0.498132,0.396187,0.277624,0.29401,0.262367,0.432605,0.419681,0.394705,0.399202,0.462775,0.445535,0.431409,0.554334,0.521125,0.291829,0.330176,0.319627,0.314875,0.310591,0.179981,0.515135,0.528625,0.684709,0.662102,0.726114,0.636905,0.68164,0.748079,0.712117,0.697405,0.661929,0.705419,0.586271,0.562182,0.5849,0.577433,0.566859,0.574321,0.557661,0.548248,0.609149,0.580901,0.522229,0.627615,0.568783,0.572562,0.690054,0.578388,0.592616,0.569558,0.478364,0.522364,0.503638,0.507969,0.552015,0.637444,0.644681,0.655052,0.643792,0.70362,0.690294,0.710323,0.719435,0.709318,0.676979,0.778095,0.75993,0.7939,0.843771,0.815306,0.904115,1.060232,1.107803,1.369931,1.40024,1.546317,1.525806,1.556269,1.594391,1.675449,1.609068,1.659142,1.620415,1.67114,1.779807,1.7302,1.791719,1.866717,1.879734,1.845316,1.834607,1.784458,1.775089,1.754119,1.713937,1.661618,1.665493,1.894452,1.831789,1.663249,1.653849,1.517352,1.533603,1.521897,1.437641,1.395752,1.380281,1.328608,1.304713,1.282117,1.218145,1.20373,1.172755,1.139083,1.099848,1.095659,1.081805,1.032739,1.00657,1.041462,1.058231,1.063167,1.012181,1.025116,1.074711],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,5.405405,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.847458,0.0,0.0,0.271003,0.0,0.0,0.0,0.138696,0.089127,0.127389,0.088028,0.097276,0.082781,0.0,0.0,1.20282,0.038895,0.0,0.03951,0.043234,0.075301,0.07171,0.063877,0.026709,0.07774,0.18196,0.046339,0.071904,0.048932,0.028852,0.044464,0.107773,0.012306,0.011337,0.106451,0.269356,0.071162,0.080386,0.10488,0.042876,0.052473,0.085383,0.138053,0.144404,0.131444,0.097426,0.096173,0.103023,0.130619,0.194318,0.190323,0.208532,0.323946,0.281288,0.300352,0.066916,0.196242,0.215211,0.210385,0.255457,0.200575,0.191191,0.210728,0.262891,0.226192,0.209545,0.313973,0.260006,0.25022,0.296857,0.348223,0.37634,0.302883,0.336227,0.370221,0.335201,0.349205,0.401446,0.33984,0.374408,0.378032,0.372705,0.420337,0.312168,0.315853,0.312847,0.286029,0.305083,0.237798,0.277433,0.223485,0.19795,0.211376,0.237657,0.204686,0.228647,0.233727,0.20833,0.25977,0.2044,0.205407,0.188061,0.250597,0.18468,0.20775,0.20466,0.225497,0.217058,0.255153,0.21397,0.219793,0.224229,0.226243,0.265209,0.27699,0.243114,0.242123,0.257335,0.253248,0.253832,0.276706,0.237209,0.251883,0.257387,0.26268,0.262543,0.25248,0.248298,0.258672,0.233893,0.229591,0.228428,0.222099,0.242157,0.246089,0.257833,0.240271,0.220103,0.221665,0.220103,0.213503,0.2238,0.197178,0.204249,0.207316,0.202872,0.195184,0.184909,0.184628,0.183601,0.178504,0.167582,0.167978,0.159719,0.158963,0.155709,0.152101,0.15124,0.148071,0.150386,0.158323],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,17.54386,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,1.084011,0.0,0.0,0.0,0.271003,0.0,0.0,0.207469,0.0,0.0,0.0,0.088028,0.0,0.0,0.131148,0.0,0.0,0.0,0.0,0.03951,0.086468,0.037651,0.143421,0.031939,0.026709,0.07774,0.025994,0.069509,0.053928,0.032621,0.072129,0.044464,0.148188,0.049225,0.068019,0.031935,0.112754,0.106743,0.149288,0.123388,0.073502,0.114487,0.290301,0.060743,0.283995,0.238547,0.227328,0.141315,0.18351,0.235751,0.262034,0.296058,0.291077,0.444886,0.268693,0.351548,0.143062,0.289457,0.282073,0.273501,0.225914,0.25344,0.249743,0.260184,0.297685,0.245113,0.262943,0.319144,0.323015,0.206577,0.292242,0.236677,0.268544,0.237638,0.275631,0.266145,0.251256,0.259944,0.31039,0.279282,0.349704,0.332079,0.395083,0.368379,0.432962,0.395598,0.3365,0.36081,0.594441,0.357691,0.361057,0.317074,0.392169,0.262061,0.34994,0.289292,0.314103,0.254137,0.245899,0.282774,0.215221,0.209677,0.226296,0.241789,0.220288,0.221841,0.168699,0.155428,0.180427,0.204638,0.185482,0.171617,0.188639,0.174219,0.187099,0.185417,0.186045,0.184323,0.218585,0.182408,0.217405,0.209973,0.225189,0.218668,0.214189,0.22604,0.215368,0.230425,0.226428,0.270423,0.232577,0.224619,0.225615,0.222837,0.23629,0.234211,0.258176,0.229941,0.206865,0.217697,0.213111,0.197713,0.219313,0.215337,0.211713,0.221726,0.218618,0.20667,0.209375,0.211376,0.219694,0.206853,0.196844,0.193905,0.182921,0.17646,0.191673,0.177357,0.170048,0.162185,0.156909,0.146456],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.097276,0.0,0.0,0.059312,0.0,0.0,0.0,0.03951,0.0,0.0,0.0,0.0,0.160256,0.0,0.103977,0.0,0.017976,0.0,0.17311,0.044464,0.134716,0.024612,0.045346,0.04258,0.012528,0.035581,0.057418,0.055525,0.006125,0.033392,0.028461,0.005522,0.019254,0.004868,0.060891,0.023553,0.048292,0.060531,0.05594,0.038065,0.099922,0.095024,0.058777,0.068262,0.056532,0.029436,0.064772,0.05164,0.100792,0.091736,0.09918,0.060208,0.098584,0.062783,0.088187,0.090129,0.099222,0.083649,0.088442,0.070074,0.109687,0.086196,0.141033,0.096309,0.072945,0.08504,0.095044,0.079795,0.159799,0.088439,0.107259,0.115009,0.098056,0.0731,0.074427,0.065179,0.098811,0.070655,0.068684,0.068914,0.077348,0.079626,0.064039,0.053979,0.064283,0.07264,0.061734,0.067434,0.061417,0.093933,0.055407,0.070569,0.055326,0.055262,0.057956,0.053713,0.053988,0.057208,0.07167,0.068135,0.062325,0.063181,0.05596,0.058399,0.058901,0.051038,0.05624,0.049441,0.0542,0.066521,0.066524,0.094444,0.160715,0.201833,0.259096,0.298215,0.331766,0.335405,0.368499,0.35773,0.36538,0.398146,0.411669,0.396648,0.377138,0.345682,0.310922,0.284527,0.299017,0.273778,0.255533,0.25308,0.242723,0.233071,0.225596,0.221162,0.202995,0.198109,0.184348,0.162244,0.146904,0.143459,0.132571,0.121798,0.11756,0.104519,0.110019,0.108721,0.101053,0.101488],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.178253,0.0,0.0,0.0,0.0,0.0,0.0,0.041477,0.0,0.0,0.0,0.043234,0.0,0.035855,0.0,0.0,0.0,0.051989,0.0,0.017976,0.0,0.028852,0.0,0.026943,0.0,0.0,0.0,0.025056,0.062267,0.028709,0.129558,0.036751,0.062014,0.102459,0.055221,0.12515,0.038946,0.028416,0.033366,0.019317,0.035044,0.041219,0.076129,0.082544,0.043193,0.037785,0.034131,0.04038,0.046607,0.054325,0.061203,0.050396,0.043536,0.044213,0.038705,0.043493,0.049023,0.028317,0.048019,0.064458,0.042188,0.07383,0.081514,0.092667,0.07183,0.075075,0.095274,0.09205,0.07358,0.087069,0.079795,0.064846,0.078034,0.092598,0.08757,0.074371,0.082872,0.096819,0.093403,0.090162,0.082357,0.093792,0.089182,0.106014,0.087141,0.091078,0.086775,0.092987,0.096296,0.107799,0.1063,0.107237,0.094164,0.116678,0.121925,0.123976,0.112198,0.118075,0.115657,0.11646,0.112434,0.107463,0.100635,0.095885,0.085519,0.085646,0.083661,0.081056,0.077679,0.07893,0.076034,0.073615,0.072364,0.072279,0.068984,0.06839,0.070441,0.065206,0.068056,0.063099,0.067429,0.064893,0.063215,0.060012,0.057335,0.054698,0.051649,0.048095,0.048419,0.044008,0.041728,0.04052,0.045823,0.042453,0.036972,0.034812,0.032,0.031068,0.030649,0.030026,0.029407,0.028079,0.02715,0.027386,0.026363,0.02655,0.025356,0.023992,0.023109,0.01975,0.019891,0.019041,0.017754],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.013423,0.0,2.222222,0.0,0.0,0.0,0.0,1.06383,0.0,0.0,0.680272,0.0,0.0,0.900901,0.0,0.0,0.0,1.315789,0.52356,0.729927,0.571429,0.0,0.367647,0.452489,0.0,0.327869,0.0,0.0,0.0,0.271003,0.0,0.246914,0.271003,0.0,0.691244,0.21978,0.0,0.138696,0.356506,0.254777,0.528169,0.389105,0.745033,0.590164,0.177936,0.414766,0.350058,0.111359,0.395101,0.432339,0.64006,0.430262,0.383264,0.42735,0.362788,0.337926,0.370714,0.431422,0.913391,0.403924,0.400178,0.336791,0.430716,0.43079,0.468384,0.357053,0.524818,0.292834,0.450367,0.379762,0.486572,0.500911,0.706831,0.519856,0.365123,0.349111,0.61629,0.415312,0.312211,0.415133,0.473693,0.443131,0.41897,0.42823,0.416396,0.156906,0.367954,0.545341,0.598642,0.507438,0.517764,0.477977,0.516068,0.488088,0.509147,0.480579,0.545943,0.626476,0.559358,0.500658,0.540568,0.472159,0.525557,0.469753,0.517274,0.545353,0.466813,0.539028,0.547164,0.444657,0.460402,0.417461,0.407494,0.533386,0.501143,0.470216,0.538015,0.451859,0.492156,0.521042,0.601894,0.547883,0.597033,0.578347,0.514523,0.565341,0.496028,0.538807,0.545285,0.523948,0.431125,0.4788,0.496198,0.451331,0.415457,0.408185,0.392845,0.399013,0.404325,0.370486,0.372547,0.374025,0.341224,0.318531,0.337792,0.318953,0.317347,0.304621,0.28952,0.297229,0.292308,0.281435,0.264574,0.256904,0.275957,0.257881,0.24692,0.249278,0.251192,0.258603,0.247361,0.255664,0.237276,0.231652,0.246799,0.233433,0.245517,0.245102,0.262941,0.270864,0.293141,0.321652,0.349977,0.37502,0.398208,0.442666,0.488192,0.516991,0.545363,0.567046,0.600992,0.645325,0.670497,0.674475,0.676608,0.689263,0.708502,0.765128,0.749512,0.81213,0.857456],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.178253,0.0,0.176056,0.0,0.0,0.0,0.0,0.082953,0.038895,0.111359,0.03951,0.043234,0.075301,0.035855,0.031939,0.080128,0.155481,0.025994,0.185357,0.071904,0.081553,0.158684,0.10375,0.013472,0.073837,0.022673,0.031935,0.025056,0.071162,0.057418,0.049355,0.061252,0.066784,0.045537,0.060743,0.038508,0.02921,0.036535,0.039254,0.045073,0.031858,0.050052,0.042294,0.043444,0.038874,0.058777,0.068262,0.020767,0.014718,0.03761,0.04399,0.038232,0.049755,0.087231,0.07741,0.046392,0.058483,0.046925,0.041371,0.0478,0.074193,0.05691,0.064353,0.046018,0.052077,0.06435,0.062135,0.074103,0.096499,0.085075,0.139641,0.07025,0.054624,0.059417,0.051375,0.060634,0.046518,0.050459,0.066052,0.066835,0.064473,0.073456,0.072086,0.084472,0.083143,0.08254,0.084605,0.082946,0.080909,0.10072,0.09077,0.096342,0.084759,0.103993,0.098127,0.101496,0.103611,0.114482,0.112997,0.124521,0.12486,0.138845,0.136218,0.143656,0.13463,0.142905,0.137599,0.157405,0.14832,0.145733,0.159674,0.157718,0.16741,0.176137,0.166576,0.166945,0.182116,0.181988,0.194147,0.196148,0.191758,0.212434,0.197168,0.194007,0.189273,0.177964,0.167919,0.156547,0.15578,0.142725,0.136138,0.129215,0.131276,0.133173,0.12389,0.113768,0.103154,0.10985,0.108229,0.105501,0.106552,0.10707,0.103565,0.106879,0.109832,0.113143,0.109535,0.100191,0.096473,0.100753,0.09689,0.107152,0.111372],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.729927,0.0,1.111111,0.0,0.452489,0.0,0.0,0.45045,0.42735,0.414938,0.542005,0.0,0.246914,0.0,0.0,0.0,1.025641,0.0,0.416089,0.178253,0.254777,0.264085,0.097276,0.248344,0.065574,0.118624,0.331813,0.350058,0.334076,0.395101,0.172936,0.564759,0.250986,0.351325,0.267094,0.362788,0.519886,0.324374,0.215711,0.228348,0.692441,0.192678,0.363734,0.406104,0.476136,0.191612,0.325733,0.240171,0.275609,0.351656,0.465515,0.252826,0.239071,0.408637,0.197353,0.296967,0.304457,0.245339,0.379898,0.26761,0.20315,0.253764,0.212877,0.203006,0.193123,0.221851,0.059994,0.188883,0.121187,0.170221,0.239816,0.254995,0.211505,0.273086,0.180737,0.248553,0.238671,0.245268,0.323015,0.270587,0.266864,0.444038,0.346712,0.307672,0.286356,0.299801,0.266309,0.206266,0.185436,0.199487,0.130464,0.176878,0.136581,0.173973,0.19327,0.257608,0.278472,0.258096,0.24716,0.23559,0.233649,0.279532,0.314651,0.317064,0.322474,0.360115,0.322834,0.368331,0.525214,0.430016,0.421039,0.369272,0.459054,0.452054,0.514603,0.508367,0.511486,0.554446,0.561823,0.576427,0.577545,0.57063,0.596615,0.59191,0.55778,0.518442,0.511308,0.509894,0.537687,0.484913,0.479336,0.475582,0.492052,0.478723,0.486079,0.462017,0.452708,0.4864,0.435434,0.485364,0.475736,0.475238,0.521522,0.498724,0.540563,0.523032,0.440843,0.49739,0.423868,0.463331,0.475446,0.564916,0.519843,0.495774,0.531833,0.54338,0.539187,0.575745,0.602882,0.618746,0.650968,0.678505,0.722207,0.743983,0.762496,0.734877,0.690431,0.691071,0.726918,0.734399,0.7938,0.817561],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.503759,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,3.278689,1.5625,1.06383,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.060606,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,2.12766,0.0,0.980392,0.0,0.512821,0.689655,0.0,3.508772,0.961538,1.869159,1.315789,0.52356,0.0,0.0,0.0,0.367647,0.452489,1.081081,0.655738,0.45045,0.0,0.414938,0.271003,0.847458,1.234568,0.271003,0.542005,0.921659,3.296703,0.414938,0.693481,1.515152,2.420382,1.408451,0.875486,1.15894,1.114754,0.533808,1.20282,1.361338,0.965108,1.264322,1.297017,0.941265,1.25493,1.533057,1.442308,1.062451,1.767611,2.363299,1.27629,1.663676,1.428159,1.852675,1.401051,1.132168,1.530439,1.405152,1.121273,1.343177,1.320625,1.653402,2.094818,1.497877,1.445811,1.623502,1.607702,1.640621,1.319315,1.943081,1.638711,1.353978,1.145297,1.860937,1.36415,1.313062,1.162937,0.904468,0.336887,0.968945,1.165901,1.222148,1.171278,1.16769,1.25708,1.581533,1.130817,1.176541,1.127823,1.121437,1.102307,1.491864,1.290481,1.37287,1.216014,1.349806,1.289139,1.425997,1.176389,1.16643,1.141197,1.500427,0.876963,0.936411,0.979991,0.965024,1.186145,1.275531,1.280402,1.448478,1.423198,1.551981,1.601929,1.752101,1.860088,1.824676,1.813739,1.873442,1.78137,1.941615,2.171371,2.07044,2.234819,1.997759,2.229333,2.298232,2.325113,2.271515,2.29738,2.320989,2.413028,2.30619,2.201902,2.165713,2.164139,2.00493,1.992289,1.933251,1.958994,1.904179,1.853651,1.803306,1.703669,1.666332,1.708017,1.67027,1.651854,1.634998,1.642423,1.697556,1.662091,1.70985,1.802163,1.69748,1.827323,1.8174,1.7677,1.802234,1.666009,1.770589,1.742837,1.82911,1.8752,2.058125,2.080773,2.117203,2.139104,2.168535,2.299515,2.399055,2.43333,2.52608,2.561784,2.644052,2.790485,2.846573,2.876545,2.767634,2.686133,2.641096,2.774597,2.78742,3.012422,3.160054],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14652,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.014821,0.0,0.0,0.0,0.0,0.0,0.008895,0.005742,0.006169,0.0,0.00477,0.0,0.0,0.009627,0.0,0.004059,0.005888,0.012878,0.009557,0.002944,0.008459,0.034755,0.0,0.008397,0.010239,0.005769,0.004906,0.004179,0.003825,0.006951,0.012439,0.003585,0.00215,0.004833,0.00688,0.010518,0.002216,0.005794,0.005819,0.006922,0.003575,0.004413,0.005986,0.002681,0.022265,0.008105,0.003016,0.011299,0.008549,0.001544,0.016474,0.010031,0.008173,0.012316,0.012509,0.009146,0.01193,0.012843,0.013689,0.011413,0.010575,0.012043,0.018387,0.013804,0.018886,0.018226,0.016956,0.026808,0.022506,0.023059,0.02106,0.024592,0.022407,0.030667,0.025407,0.02577,0.029588,0.027628,0.028934,0.027336,0.031403,0.043613,0.030134,0.034627,0.041278,0.04244,0.038604,0.037841,0.046446,0.038514,0.039072,0.040942,0.038918,0.03732,0.031426,0.031279,0.029014,0.026925,0.026991,0.030663,0.023564,0.024164,0.021803,0.01898,0.018681,0.017654,0.020293,0.017843,0.018564,0.017606,0.017149,0.016067,0.017882,0.01715,0.018024,0.017877,0.020284,0.021496,0.020195,0.020917,0.023795,0.025621,0.028169,0.029143,0.029543,0.027816,0.027228,0.031522,0.032272,0.038602,0.042823],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.423729,0.0,0.0,0.0,0.230415,0.07326,0.0,0.277393,0.0,0.0,0.088028,0.291829,0.331126,0.0,0.118624,0.0,0.233372,0.185598,0.11853,0.172936,0.263554,0.107565,0.127755,0.213675,0.07774,0.18196,0.092678,0.053928,0.065242,0.086555,0.044464,0.121245,0.073837,0.090693,0.04258,0.056377,0.160114,0.080386,0.098711,0.116379,0.095406,0.091075,0.055221,0.120337,0.141181,0.097426,0.194308,0.154535,0.082832,0.05594,0.105735,0.143366,0.112301,0.104958,0.136523,0.020767,0.117745,0.102382,0.179784,0.180731,0.15082,0.11352,0.119341,0.132412,0.144488,0.154529,0.119679,0.133262,0.133111,0.166117,0.139432,0.164531,0.161618,0.190904,0.136697,0.18989,0.17792,0.236614,0.279994,0.294122,0.267918,0.358044,0.392315,0.372328,0.390907,0.356999,0.40242,0.336797,0.359236,0.358359,0.367834,0.405908,0.371107,0.399037,0.448166,0.493637,0.433854,0.536825,0.491305,0.48059,0.419469,0.430094,0.555795,0.514022,0.459006,0.457709,0.455321,0.454562,0.473358,0.427828,0.421532,0.399072,0.4133,0.383744,0.371386,0.37907,0.368466,0.348765,0.340436,0.365738,0.351497,0.348551,0.3561,0.316024,0.390211,0.344538,0.354757,0.347192,0.395449,0.397103,0.369195,0.375597,0.361855,0.328842,0.418725,0.354187,0.39339,0.345239,0.368269,0.376634,0.400634,0.389657,0.411085,0.398806,0.396625,0.401475,0.418404,0.417588,0.416822,0.407295,0.417603,0.421022,0.423708,0.434533,0.409267,0.39477,0.401329,0.425908,0.425027,0.47062,0.490292],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.076923,0.0,0.138696,0.089127,0.0,0.0,0.194553,0.0,0.0,0.0,0.041477,0.077791,0.111359,0.19755,0.172936,0.150602,0.179276,0.383264,0.213675,0.207308,0.389914,0.254866,0.107855,0.195727,0.158684,0.177857,0.188603,0.209205,0.294751,0.202257,0.206715,0.169009,0.172255,0.302301,0.361387,0.405476,0.313069,0.430725,0.409146,0.331045,0.365349,0.157017,0.267216,0.312211,0.253202,0.338352,0.321488,0.138217,0.20152,0.194546,0.05884,0.193789,0.227748,0.221861,0.248505,0.35917,0.500681,0.479513,0.383705,0.408521,0.473297,0.425526,0.493938,0.740477,0.53142,0.484795,0.472159,0.430382,0.396823,0.427178,0.437093,0.366696,0.336976,0.423197,0.353564,0.320807,0.250014,0.28256,0.375644,0.369408,0.43458,0.400674,0.418834,0.368068,0.390937,0.440801,0.556873,0.391573,0.412699,0.443317,0.44627,0.37817,0.451492,0.420632,0.432457,0.38612,0.443557,0.474615,0.449926,0.43853,0.417862,0.459791,0.451636,0.451027,0.457721,0.43598,0.431238,0.410006,0.385566,0.379947,0.367561,0.345613,0.340824,0.322911,0.316604,0.325299,0.317481,0.292293,0.287581,0.287992,0.274627,0.275629,0.27615,0.274486,0.261815,0.239355,0.242754,0.214087,0.204235,0.199184,0.167404,0.173561,0.163499,0.168787,0.163707,0.184329,0.174964,0.173324,0.177634,0.175598,0.183394,0.183981,0.187053,0.182182,0.185369,0.189971,0.197582,0.198377,0.196106,0.187581,0.178366,0.169912,0.17751,0.170863,0.177039,0.181007],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.127389,0.088028,0.0,0.0,0.065574,0.059312,0.12443,0.038895,0.074239,0.03951,0.0,0.037651,0.07171,0.0,0.026709,0.025913,0.025994,0.069509,0.08988,0.032621,0.057703,0.029643,0.053887,0.061531,0.079356,0.031935,0.018792,0.124533,0.017226,0.061694,0.061252,0.062014,0.045537,0.07731,0.086643,0.05842,0.052773,0.023553,0.032195,0.044602,0.044163,0.042294,0.056478,0.056151,0.02519,0.023892,0.010383,0.068685,0.03761,0.04399,0.057347,0.032652,0.022704,0.056983,0.030928,0.051603,0.041262,0.033244,0.048525,0.056736,0.041529,0.066498,0.060517,0.054471,0.056306,0.074562,0.056156,0.063931,0.067129,0.050584,0.057898,0.125722,0.111117,0.110922,0.103267,0.108281,0.122994,0.174295,0.171151,0.17443,0.14878,0.182947,0.178274,0.181796,0.170487,0.204814,0.203435,0.193429,0.212483,0.143422,0.188132,0.190867,0.203619,0.203311,0.211519,0.275958,0.256678,0.282119,0.293149,0.297173,0.290556,0.270162,0.256419,0.218379,0.207532,0.190984,0.18675,0.175334,0.172356,0.155871,0.147873,0.145053,0.130171,0.142631,0.144581,0.132885,0.127998,0.116803,0.111774,0.108735,0.115494,0.115499,0.107326,0.109632,0.105807,0.104691,0.099841,0.104051,0.098402,0.097764,0.090202,0.088588,0.090833,0.090267,0.09048,0.085578,0.082716,0.077858,0.077811,0.077128,0.074986,0.074568,0.076412,0.062135,0.062518,0.061122,0.058549,0.052813,0.040727,0.039535,0.035759,0.033782],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.729927,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.230415,0.14652,0.207469,0.0,0.0,0.0,0.088028,0.0,0.082781,0.131148,0.29656,0.082953,0.233372,0.148478,0.19755,0.129702,0.150602,0.250986,0.191632,0.106838,0.103654,0.415909,0.162187,0.197735,0.179416,0.158684,0.029643,0.175131,0.110756,0.249405,0.212902,0.112754,0.151219,0.06316,0.135727,0.202132,0.090636,0.182149,0.121487,0.12515,0.146049,0.133961,0.074583,0.125559,0.136991,0.16782,0.169176,0.18681,0.146856,0.17633,0.126284,0.126909,0.164353,0.169244,0.153008,0.126859,0.203685,0.161317,0.164497,0.143044,0.180609,0.187701,0.172131,0.196996,0.197121,0.179191,0.19449,0.187855,0.19873,0.184469,0.170353,0.20031,0.189982,0.151539,0.145341,0.155167,0.24971,0.313289,0.224764,0.275693,0.232981,0.251665,0.319783,0.3022,0.316843,0.332629,0.3384,0.35095,0.327297,0.349655,0.37747,0.386571,0.400674,0.470937,0.426695,0.493724,0.424143,0.511769,0.496662,0.513537,0.575519,0.48139,0.528512,0.526524,0.531706,0.481826,0.50098,0.456334,0.423897,0.386592,0.379127,0.368936,0.350148,0.344221,0.33801,0.329626,0.329053,0.326171,0.315492,0.319024,0.297428,0.300385,0.299099,0.30254,0.299442,0.291946,0.296831,0.284624,0.295194,0.283015,0.274714,0.255729,0.275731,0.270993,0.281805,0.261775,0.267836,0.283467,0.276685,0.27744,0.27395,0.270731,0.275351,0.273005,0.273325,0.273199,0.272782,0.277393,0.255177,0.2504,0.249452,0.242568,0.230346,0.214778,0.212064,0.189873,0.17486],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.012528,0.0,0.0,0.0,0.0,0.00477,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.001913,0.0,0.001555,0.0,0.004301,0.0029,0.0,0.000809,0.0,0.001448,0.000727,0.001538,0.00143,0.004413,0.000599,0.000536,0.0,0.0,0.0,0.000665,0.002137,0.0,0.002601,0.00463,0.000584,0.0,0.0,0.000315,0.000873,0.000262,0.000662,0.000415,0.000529,0.000678,0.000959,0.001708,0.000893,0.001746,0.001779,0.001794,0.000997,0.001045,0.001039,0.000598,0.001133,0.001211,0.000925,0.002456,0.001845,0.002763,0.002011,0.002978,0.002795,0.003987,0.003697,0.005108,0.004957,0.006415,0.005461,0.006645,0.006641,0.004923,0.004892,0.005024,0.005309,0.00463,0.005224,0.004558,0.004017,0.004046,0.003792,0.003566,0.003334,0.003839,0.00331,0.003721,0.002917,0.002935,0.003182,0.003158,0.002964,0.003654,0.003418,0.003968,0.004326,0.005495,0.0065,0.006804,0.006982,0.006984,0.008729,0.010093,0.010914,0.012489,0.012882,0.014498,0.015406,0.014887,0.014218,0.012626,0.011804,0.012128,0.012202],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.127389,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.035855,0.0,0.0,0.025913,0.0,0.0,0.0,0.016311,0.0,0.0,0.053887,0.0,0.045346,0.063871,0.043849,0.01779,0.045935,0.055525,0.110254,0.047703,0.034153,0.066265,0.062575,0.014605,0.024357,0.015702,0.019317,0.015929,0.017665,0.021147,0.026067,0.025916,0.004198,0.013652,0.00923,0.014718,0.006268,0.00765,0.012165,0.012439,0.00478,0.036555,0.006766,0.00516,0.014563,0.011081,0.010139,0.020367,0.010767,0.018591,0.01702,0.017958,0.011797,0.020194,0.015052,0.013872,0.005317,0.013537,0.019299,0.03815,0.025464,0.021601,0.015632,0.022673,0.024914,0.042192,0.024637,0.03047,0.034238,0.045472,0.036639,0.026382,0.02775,0.036496,0.050204,0.053067,0.061451,0.047254,0.046343,0.035312,0.04703,0.061967,0.062593,0.074681,0.063345,0.076419,0.076448,0.108832,0.092432,0.086161,0.079863,0.082942,0.068521,0.07205,0.072349,0.0683,0.071868,0.058253,0.049974,0.058051,0.052962,0.053452,0.053837,0.054947,0.050986,0.047615,0.050798,0.044223,0.045576,0.052127,0.048042,0.047308,0.047315,0.045877,0.042847,0.045823,0.04578,0.047067,0.043956,0.046507,0.048762,0.048598,0.050045,0.049675,0.048698,0.049946,0.046243,0.049698,0.046182,0.047047,0.045327,0.037968,0.037953,0.038012,0.035492,0.031822,0.02509,0.023454,0.020899,0.019776],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.689655,0.45045,0.0,0.961538,0.0,0.657895,0.0,0.0,0.571429,0.0,0.735294,0.0,0.540541,0.327869,0.900901,0.0,0.414938,0.271003,0.423729,0.0,0.0,0.0,0.230415,0.07326,1.037344,0.277393,0.178253,0.764331,0.088028,0.291829,0.165563,0.52459,0.118624,0.331813,0.038895,0.296956,0.513631,0.734976,0.489458,0.466117,0.73459,0.267094,0.285048,0.54588,0.695088,0.521301,0.456695,0.331795,0.340892,0.444564,0.344573,1.383063,0.425804,0.369582,0.542608,0.269867,0.401012,0.686022,0.438868,0.466758,0.397592,0.394705,0.438148,0.442478,0.18842,0.360581,0.334512,0.441631,0.42294,0.347554,0.336904,0.298081,0.440288,0.154599,0.473434,0.405349,0.336617,0.307591,0.300086,0.218675,0.312866,0.242594,0.303596,0.324431,0.257088,0.350537,0.371693,0.29455,0.303175,0.296281,0.222075,0.229514,0.22265,0.257625,0.237629,0.223321,0.19165,0.221557,0.315605,0.374249,0.245781,0.241113,0.242754,0.231166,0.299123,0.295124,0.298076,0.286355,0.314959,0.323471,0.299636,0.30127,0.323364,0.307663,0.325208,0.308955,0.295398,0.30313,0.275165,0.310364,0.326008,0.315389,0.3727,0.340368,0.384933,0.37418,0.407776,0.399031,0.388144,0.350592,0.34333,0.324246,0.318402,0.304324,0.282612,0.29026,0.284738,0.272223,0.273566,0.273348,0.280336,0.293157,0.296583,0.309492,0.295282,0.295993,0.318011,0.312,0.311762,0.300102,0.307473,0.312685,0.302656,0.279394,0.294223,0.291653,0.288917,0.276991,0.268886,0.277075,0.271502,0.270801,0.265896,0.251906,0.252801,0.250963,0.253326,0.244362,0.243067,0.252408,0.216243,0.209997,0.20685,0.193423,0.179873,0.147771,0.140603,0.125305,0.117593],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.423729,0.0,0.0,0.0,0.0,0.659341,0.0,0.0,0.089127,0.0,0.0,0.0,0.082781,0.0,0.118624,0.082953,0.077791,0.0,0.15804,0.216169,0.037651,0.143421,0.063877,0.080128,0.0,0.103977,0.185357,0.161783,0.114174,0.057703,0.10375,0.107773,0.110756,0.385444,0.149031,0.162866,0.088952,0.051677,0.123388,0.208257,0.109717,0.091075,0.165663,0.144404,0.126576,0.162377,0.090285,0.138437,0.146548,0.176652,0.126882,0.199844,0.12094,0.083967,0.13311,0.066916,0.144728,0.14417,0.126231,0.10253,0.130607,0.083646,0.107514,0.113082,0.181469,0.122976,0.112291,0.118053,0.131656,0.105361,0.150873,0.158227,0.108344,0.151222,0.110807,0.164417,0.134495,0.172808,0.157452,0.145131,0.248842,0.227636,0.179811,0.146847,0.200536,0.209721,0.258387,0.277563,0.234265,0.244439,0.29751,0.275468,0.300115,0.280208,0.307668,0.315521,0.331592,0.363421,0.338333,0.365368,0.324901,0.374926,0.387872,0.400656,0.445576,0.413866,0.454896,0.48622,0.504483,0.479606,0.484103,0.46607,0.459991,0.449314,0.413121,0.403498,0.393026,0.373719,0.364774,0.369662,0.36631,0.361022,0.358304,0.363842,0.337872,0.336326,0.333737,0.328537,0.31707,0.32634,0.343784,0.316845,0.335795,0.322219,0.314856,0.290151,0.311082,0.300472,0.306937,0.296275,0.286012,0.301457,0.290341,0.298062,0.275561,0.267467,0.263833,0.251494,0.247262,0.239276,0.240145,0.248272,0.2102,0.207179,0.200555,0.191457,0.168013,0.134087,0.126865,0.116378,0.111368],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.127389,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.086468,0.0,0.0,0.0,0.0,0.0,0.0,0.02317,0.0,0.0,0.0,0.0,0.0,0.012306,0.045346,0.031935,0.012528,0.026686,0.0,0.0,0.030626,0.019081,0.0,0.033133,0.004813,0.009737,0.016238,0.019627,0.035414,0.025487,0.032386,0.033835,0.021722,0.025916,0.02519,0.013652,0.00923,0.017171,0.018805,0.022951,0.022591,0.037316,0.016729,0.019353,0.015464,0.024081,0.014563,0.021424,0.01883,0.020367,0.017688,0.017876,0.017651,0.023943,0.016087,0.03055,0.015052,0.01749,0.033232,0.034198,0.036283,0.042485,0.033952,0.022768,0.032685,0.019545,0.021445,0.016004,0.018871,0.020976,0.023448,0.02115,0.027309,0.023184,0.020777,0.020418,0.021064,0.024493,0.021428,0.020762,0.028059,0.020079,0.024712,0.028434,0.028487,0.029987,0.029326,0.03083,0.028863,0.029654,0.032309,0.0354,0.032117,0.035063,0.032848,0.03205,0.034297,0.030883,0.031942,0.032426,0.033316,0.031866,0.032601,0.031602,0.030506,0.029357,0.03292,0.031264,0.029397,0.03212,0.030991,0.030609,0.031361,0.031676,0.029173,0.029604,0.029748,0.02946,0.032849,0.034863,0.037213,0.040182,0.047939,0.055022,0.057994,0.066217,0.066525,0.07287,0.077845,0.083702,0.083366,0.081418,0.085915,0.090552,0.092215,0.09777,0.225885,0.248433,0.213372,0.178523,0.152689,0.132781],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.065574,0.059312,0.041477,0.0,0.0,0.03951,0.043234,0.037651,0.07171,0.0,0.0,0.0,0.0,0.069509,0.233687,0.0,0.043278,0.044464,0.08083,0.036919,0.136039,0.063871,0.062641,0.035581,0.051677,0.030847,0.079628,0.081095,0.034153,0.07731,0.052948,0.048683,0.07307,0.023553,0.032195,0.041416,0.085382,0.076129,0.0782,0.069109,0.062975,0.064849,0.019613,0.066232,0.050146,0.030602,0.026067,0.024878,0.026289,0.050532,0.039627,0.051603,0.060679,0.064272,0.05794,0.062555,0.051527,0.037897,0.068082,0.062253,0.043436,0.041423,0.056735,0.041012,0.05716,0.044172,0.046318,0.090173,0.119605,0.072391,0.099477,0.068409,0.076004,0.111153,0.104578,0.115256,0.120767,0.145406,0.146385,0.121997,0.125517,0.134756,0.142863,0.158051,0.16236,0.17282,0.177684,0.171019,0.211038,0.224482,0.237826,0.273713,0.267895,0.277649,0.295457,0.284237,0.276172,0.296653,0.286554,0.269417,0.269354,0.258325,0.248648,0.233784,0.224797,0.230685,0.230716,0.227263,0.225549,0.21869,0.215487,0.217411,0.212451,0.193014,0.206838,0.201039,0.193172,0.19642,0.191749,0.192428,0.181329,0.167856,0.153743,0.164896,0.175192,0.168593,0.151958,0.162862,0.169279,0.158405,0.154072,0.148617,0.141916,0.143803,0.138699,0.14248,0.135596,0.128687,0.122065,0.117097,0.112778,0.105228,0.097337,0.092652,0.076276,0.072844,0.069712,0.062343],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,1.5625,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.689655,0.0,0.0,0.0,0.0,0.0,0.52356,0.0,0.0,0.0,0.367647,0.904977,0.0,0.0,0.0,0.0,1.244813,0.0,0.0,0.0,0.0,1.355014,0.0,0.0,0.0,0.277393,0.0,0.0,0.0,0.0,0.0,0.065574,0.237248,0.165906,0.233372,0.03712,0.03951,0.043234,0.075301,0.0,0.031939,0.026709,0.051827,0.051989,0.046339,0.08988,0.0,0.0,0.044464,0.026943,0.024612,0.03401,0.063871,0.582561,0.035581,0.022967,0.024678,0.049002,0.395936,0.07969,0.066265,0.033694,0.073025,0.040594,0.066732,0.109462,0.082832,0.114824,0.13957,0.156399,0.12094,0.071372,0.146763,0.169597,0.115292,0.114919,0.09563,0.095579,0.118168,0.081256,0.07741,0.091818,0.082564,0.11974,0.146274,0.127468,0.14184,0.149967,0.232387,0.172095,0.195138,0.186614,0.197796,0.202626,0.226772,0.258547,0.22371,0.233136,0.319073,0.281651,0.277306,0.290378,0.251744,0.269326,0.3579,0.291454,0.312428,0.346739,0.31161,0.317704,0.326178,0.309524,0.325533,0.324034,0.30375,0.334442,0.344727,0.340443,0.318266,0.390005,0.369019,0.385492,0.41713,0.414526,0.417502,0.449654,0.461232,0.475392,0.472242,0.47556,0.493374,0.50787,0.506983,0.536317,0.53673,0.537345,0.568425,0.571959,0.540464,0.557416,0.57276,0.581141,0.539185,0.53908,0.547031,0.541544,0.528029,0.550045,0.521745,0.537727,0.520057,0.494443,0.483636,0.479675,0.490727,0.509709,0.513004,0.530317,0.554097,0.512356,0.534973,0.546818,0.545378,0.558404,0.560363,0.559184,0.556079,0.583137,0.565774,0.552232,0.531679,0.528967,0.515518,0.498342,0.491329,0.436775,0.413808,0.404081,0.402624],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,0.0,2.013423,0.0,2.222222,0.0,0.0,3.669725,1.818182,0.0,0.0,0.980392,2.721088,0.0,0.689655,0.0,0.0,0.0,2.803738,0.657895,0.0,1.459854,1.142857,0.0,0.0,0.452489,0.0,0.655738,0.45045,0.854701,0.829876,0.542005,0.423729,0.246914,0.813008,0.542005,1.152074,0.512821,1.037344,0.138696,0.445633,0.382166,0.528169,0.972763,0.248344,0.459016,0.29656,0.912484,0.466744,0.371195,0.948242,0.345871,0.790663,0.896379,1.564995,0.774573,0.932884,0.467897,0.509731,0.772964,0.864459,0.793422,0.518749,0.66011,0.701452,0.906927,0.638706,0.463543,0.693827,0.631603,0.672466,0.826902,0.524734,0.591985,0.563256,0.587244,0.564724,0.742876,0.272816,0.434629,0.554334,0.59473,0.439858,0.599531,0.397374,0.457618,0.358374,0.169597,0.696659,0.488926,0.426509,0.437926,0.413589,0.303516,0.344045,0.304451,0.352618,0.273461,0.306585,0.350537,0.34187,0.266864,0.294595,0.263501,0.213096,0.181788,0.20401,0.210731,0.182745,0.196735,0.157452,0.165974,0.24971,0.254643,0.210169,0.256745,0.20249,0.206883,0.239764,0.224881,0.235811,0.207089,0.207975,0.201852,0.165008,0.192972,0.178016,0.167201,0.154806,0.152637,0.142093,0.144401,0.129303,0.140672,0.137944,0.120633,0.131264,0.114079,0.124491,0.116363,0.120688,0.107856,0.110902,0.104764,0.096251,0.091529,0.10166,0.089251,0.090325,0.088808,0.077482,0.073838,0.073077,0.066954,0.066374,0.070564,0.066665,0.067619,0.060254,0.060612,0.058288,0.057999,0.059417,0.056992,0.053308,0.048924,0.050023,0.055105,0.050278,0.04593,0.050109,0.044013,0.04374,0.042098,0.039709,0.038912,0.03816,0.035115,0.035623,0.034412,0.035428,0.031416,0.030278,0.029123,0.02494,0.025301,0.025201,0.022623,0.019829,0.016497,0.017592,0.014533,0.011649],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,0.52356,1.459854,0.571429,0.0,0.367647,0.0,0.0,0.327869,0.45045,0.42735,0.414938,0.0,0.423729,0.0,0.271003,0.271003,0.0,0.07326,0.207469,0.277393,0.26738,0.382166,0.352113,0.77821,0.662252,0.786885,0.474496,0.331813,0.311163,0.259837,0.434611,0.562041,0.527108,0.645393,0.255509,0.614316,0.362788,0.467897,0.393883,0.754988,0.277279,0.216388,0.429821,0.525394,0.639921,0.362771,0.5429,0.338261,0.471446,0.46509,0.339318,0.373637,0.319611,0.415528,0.309239,0.44284,0.331045,0.365349,0.237488,0.292972,0.401415,0.300309,0.300288,0.273699,0.280753,0.361056,0.341309,0.111911,0.326252,0.382365,0.340442,0.357987,0.380938,0.301126,0.30534,0.330547,0.317357,0.32524,0.320622,0.294045,0.289499,0.248406,0.202355,0.264762,0.27475,0.188759,0.254236,0.219994,0.218329,0.206705,0.235822,0.247032,0.266183,0.190597,0.18273,0.225008,0.199363,0.179445,0.185061,0.187925,0.194743,0.194431,0.203921,0.191844,0.181636,0.173333,0.158619,0.153777,0.134395,0.133003,0.128889,0.117461,0.107666,0.117995,0.113529,0.109684,0.101365,0.092341,0.089546,0.086069,0.073085,0.071333,0.063511,0.059953,0.058566,0.058514,0.052203,0.049314,0.047934,0.044977,0.042104,0.043108,0.039898,0.037636,0.03815,0.034512,0.033449,0.032512,0.029906,0.032307,0.028336,0.02572,0.025542,0.02511,0.024028,0.021853,0.020491,0.023904,0.018831,0.017763,0.01754,0.01714,0.016846,0.016163,0.01578,0.016107,0.015666,0.014537,0.013932,0.013111,0.013166,0.012774,0.012206,0.011121,0.010619,0.010018,0.012746,0.009454,0.008923,0.007803,0.007574,0.006975,0.005429],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.142857,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.847458,0.493827,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.0,0.041477,0.0,0.0,0.11853,0.043234,0.0,0.0,0.063877,0.133547,0.0,0.103977,0.0,0.035952,0.016311,0.0,0.0,0.053887,0.098449,0.011337,0.053225,0.025056,0.026686,0.034451,0.012339,0.036751,0.019081,0.028461,0.044177,0.038508,0.024342,0.064951,0.031403,0.051512,0.041416,0.073605,0.033835,0.043444,0.025916,0.083967,0.051196,0.036919,0.046607,0.10865,0.063116,0.132073,0.121278,0.120689,0.091387,0.084086,0.088585,0.088996,0.115985,0.109362,0.086559,0.110745,0.084374,0.125447,0.11852,0.104568,0.108736,0.108839,0.101324,0.132265,0.116842,0.115796,0.136993,0.122692,0.117928,0.135005,0.15089,0.179445,0.176622,0.185304,0.213069,0.15957,0.144701,0.154357,0.136707,0.140602,0.139222,0.148538,0.12508,0.116578,0.124985,0.102387,0.103742,0.109618,0.103948,0.098929,0.096786,0.095457,0.099976,0.11555,0.108022,0.09791,0.102516,0.102,0.107184,0.103839,0.103852,0.107616,0.111439,0.119215,0.133138,0.123772,0.122871,0.132457,0.136817,0.132765,0.125555,0.137044,0.13669,0.135507,0.143206,0.135145,0.18316,0.164302,0.15341,0.158915,0.16087,0.194534,0.165381,0.140935,0.138052,0.152929,0.1477,0.137156,0.136129,0.132767,0.133078,0.127033,0.123297,0.120146,0.110325,0.114344,0.111143,0.10579,0.106096,0.097391,0.095089,0.088285,0.081696,0.08063,0.08185,0.078682,0.079147],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.980198,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.934579,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.178253,0.0,0.0,0.0,0.0,0.065574,0.0,0.0,0.0,0.0,0.0,0.043234,0.0,0.035855,0.0,0.026709,0.0,0.0,0.02317,0.0,0.032621,0.0,0.0,0.013472,0.0,0.0,0.010645,0.025056,0.008895,0.022967,0.012339,0.024501,0.114487,0.022769,0.033133,0.062575,0.014605,0.044654,0.04318,0.019317,0.044602,0.052996,0.080359,0.043444,0.095024,0.033587,0.064849,0.026536,0.122651,0.07313,0.118581,0.092103,0.146156,0.078866,0.061283,0.099551,0.122126,0.105177,0.116724,0.10574,0.141112,0.18842,0.174469,0.126708,0.183765,0.219325,0.293588,0.260519,0.292512,0.308396,0.341265,0.388303,0.28786,0.311745,0.308831,0.265272,0.298653,0.196791,0.158291,0.185828,0.179729,0.193186,0.173782,0.151474,0.172522,0.167783,0.152621,0.151376,0.145281,0.144141,0.126065,0.125371,0.174019,0.11243,0.118474,0.095683,0.109467,0.103705,0.108455,0.093708,0.086652,0.089679,0.084881,0.083581,0.082629,0.081836,0.077637,0.084387,0.087756,0.084219,0.084123,0.084746,0.082648,0.080168,0.086513,0.088168,0.098388,0.099168,0.108126,0.114046,0.125769,0.137927,0.150158,0.155695,0.168855,0.177642,0.189459,0.195707,0.199453,0.177554,0.183086,0.20287,0.19532,0.186693,0.194802,0.193422,0.194857,0.208118,0.208556,0.219997,0.216954,0.212837,0.213559,0.211784,0.214669,0.206562,0.207087,0.213332,0.215101,0.225365,0.216682,0.215861,0.215916],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.918033,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,4.444444,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.923077,0.0,0.0,0.52356,2.189781,0.0,1.111111,0.367647,0.0,0.540541,0.655738,0.45045,1.282051,0.829876,0.813008,0.0,0.246914,1.084011,0.0,0.691244,0.07326,0.0,0.138696,0.178253,0.254777,6.514085,0.194553,0.165563,0.262295,0.711744,0.082953,0.155581,0.259837,0.276571,0.086468,0.075301,0.322696,1.181731,0.320513,0.362788,0.36392,0.278035,0.197735,0.228348,0.129833,0.192678,0.309848,0.566084,0.340097,0.191612,0.150338,0.311333,0.522508,0.339318,0.367512,0.343462,0.335838,0.36446,0.375451,0.360255,0.340992,0.276742,0.569846,0.742298,0.733108,0.401793,0.486576,0.578784,0.449221,0.368613,0.411879,0.731001,0.689511,0.837716,0.806339,0.573739,0.869919,0.698842,0.791572,0.981311,0.793683,1.332723,1.039298,0.969603,1.02208,0.939558,1.430976,1.344419,1.318097,1.109109,1.266702,1.328669,1.426331,1.327301,1.435872,1.338721,1.386649,1.398789,1.472734,1.504212,1.695113,1.723742,1.753705,1.595036,1.595911,1.629078,1.410756,1.608983,1.718392,1.638129,2.219673,1.621327,1.514381,1.367947,1.445427,1.62791,1.435682,1.328294,1.304094,1.371778,1.221144,1.28731,1.303066,1.305388,1.2623,1.282754,1.340947,1.395522,1.331612,1.339327,1.441129,1.441601,1.470055,1.704268,1.577258,1.57689,1.516937,1.554338,1.518113,1.55204,1.422888,1.397613,1.374805,1.305208,1.273004,1.357877,1.363316,1.391499,1.453649,1.416222,1.533191,1.393562,1.282874,1.320676,1.359646,1.307144,1.289666,1.320131,1.271548,1.230692,1.215979,1.175801,1.192503,1.158529,1.126062,1.13409,1.120835,1.104934,1.023133,0.967622,0.982422,0.94368,0.938081,0.912457,0.900658,0.912886],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.0,0.230415,0.0,0.0,0.0,0.0,0.0,0.0,0.097276,0.248344,0.0,0.0,0.0,0.038895,0.0,0.0,0.043234,0.112952,0.035855,0.0,0.0,0.025913,0.103977,0.162187,0.197735,0.032621,0.158684,0.029643,0.053887,0.086143,0.113366,0.074516,0.075169,0.088952,0.177997,0.148066,0.110254,0.071555,0.068306,0.038655,0.038508,0.097366,0.077129,0.047105,0.170632,0.117876,0.123657,0.054982,0.091233,0.099343,0.088165,0.119458,0.061147,0.10548,0.11074,0.164483,0.106006,0.113504,0.120689,0.076335,0.113082,0.127287,0.101132,0.110075,0.087634,0.089468,0.118435,0.10225,0.09834,0.108344,0.097597,0.127894,0.134312,0.138717,0.176131,0.140353,0.133552,0.122254,0.159731,0.131939,0.12032,0.109063,0.110695,0.084965,0.085182,0.103775,0.104789,0.118087,0.127726,0.129991,0.145583,0.147389,0.143409,0.130941,0.121864,0.114937,0.114551,0.103973,0.102198,0.08767,0.085848,0.080405,0.072912,0.075177,0.07063,0.070984,0.066472,0.06466,0.06076,0.057961,0.055479,0.053804,0.055817,0.053964,0.053708,0.059743,0.053754,0.058977,0.051802,0.053024,0.055799,0.05529,0.057176,0.062761,0.065949,0.07164,0.0724,0.08359,0.081942,0.080069,0.086305,0.091723,0.11097,0.102925,0.087613,0.098175,0.097753,0.097328,0.094548,0.102054,0.106387,0.105214,0.113009,0.109117,0.111786,0.113738,0.117629,0.118277,0.123474,0.123637,0.118491,0.116914,0.123533,0.121844,0.122937,0.118444,0.118663,0.123501],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,7.692308,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.108108,0.0,3.030303,2.040816,0.917431,0.0,0.0,0.990099,0.980392,0.0,0.512821,1.37931,0.45045,0.877193,0.0,0.934579,0.657895,0.0,0.0,0.571429,0.0,0.367647,0.452489,0.0,0.655738,0.45045,0.0,0.414938,0.0,0.423729,0.246914,0.0,0.542005,0.691244,0.0,0.622407,0.277393,0.445633,0.127389,0.176056,0.0,0.496689,0.262295,0.118624,0.414766,0.311163,0.853749,0.276571,0.389105,0.715361,0.358551,0.191632,0.133547,0.310961,0.103977,0.370714,0.233687,0.212037,0.043278,0.148214,0.24249,0.25843,0.260741,0.266127,0.162866,0.284647,0.258383,0.148066,0.238883,0.262367,0.244763,0.215363,0.226233,0.209337,0.255744,0.368989,0.376678,0.159291,0.238481,0.203011,0.195499,0.203006,0.289685,0.290112,0.155752,0.242849,0.223569,0.325141,0.326707,0.310969,0.298736,0.277387,0.335379,0.362939,0.347894,0.346478,0.323739,0.299682,0.279938,0.2853,0.278631,0.332214,0.309415,0.26718,0.29236,0.261753,0.261206,0.239384,0.248576,0.208958,0.202943,0.217174,0.216481,0.244317,0.266803,0.276718,0.257643,0.257449,0.242987,0.218902,0.218305,0.207219,0.237657,0.199965,0.213585,0.195522,0.177935,0.178717,0.182236,0.172577,0.183813,0.171684,0.167675,0.153941,0.156309,0.152093,0.13619,0.136626,0.12519,0.113619,0.124137,0.130373,0.115814,0.109972,0.116129,0.118883,0.114343,0.12583,0.125557,0.121432,0.126412,0.118225,0.113179,0.113855,0.101824,0.109708,0.105687,0.098667,0.100902,0.106206,0.110363,0.112745,0.11419,0.120523,0.130717,0.131365,0.130611,0.142884,0.144086,0.147185,0.150089,0.156984,0.157705,0.160637,0.166604,0.170688,0.182041,0.180545,0.172284,0.177117,0.170349,0.171698,0.170499,0.165836,0.1795,0.182631,0.194117,0.188839,0.189627,0.191531],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.545455,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,1.818182,0.0,0.0,0.0,0.0,0.512821,0.0,0.45045,0.0,0.0,0.0,0.0,0.52356,0.729927,0.571429,0.0,0.0,0.0,0.0,0.327869,0.45045,0.854701,2.074689,1.626016,0.847458,0.246914,0.271003,0.0,0.460829,0.14652,0.414938,0.693481,0.089127,0.636943,0.704225,0.583658,0.662252,0.393443,0.474496,0.746578,0.777907,0.519673,0.474121,0.562041,0.150602,0.358551,0.47908,0.721154,0.881057,0.805823,0.718258,0.772964,0.913391,0.836699,0.755892,0.808299,0.664534,0.680195,0.798382,0.714107,0.951788,0.993339,0.94392,0.943281,0.672614,0.597678,0.695787,0.78941,0.983399,0.7104,0.610402,0.737259,0.802829,0.771382,0.439858,0.60822,0.621977,0.495403,0.587051,0.214592,1.054801,0.83995,0.778426,0.815028,0.982663,0.855579,1.100945,1.319287,1.364891,1.030736,1.068247,1.227603,1.012518,0.969015,0.915962,0.756463,0.836221,0.796864,0.737853,0.804136,0.759929,0.762349,0.690368,0.697093,0.678898,0.601884,0.634593,0.699655,0.710279,0.682776,0.692523,0.607284,0.6317,0.601553,0.552191,0.557721,0.642922,0.491681,0.503676,0.482068,0.454474,0.468388,0.425781,0.400964,0.625396,0.38809,0.311019,0.309818,0.277279,0.236296,0.216308,0.217904,0.230181,0.221808,0.218486,0.24913,0.229155,0.24285,0.253406,0.228626,0.241391,0.231308,0.239086,0.24207,0.242151,0.23497,0.222847,0.213776,0.236385,0.213727,0.227588,0.211463,0.215074,0.210539,0.232203,0.240439,0.238137,0.221816,0.228135,0.302062,0.242564,0.220565,0.223474,0.239418,0.20441,0.231161,0.202172,0.212604,0.217354,0.233723,0.207053,0.206561,0.185773,0.188504,0.192812,0.20724,0.194735,0.189337,0.197591,0.201982,0.199504,0.20228,0.208198,0.215641,0.216075],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,3.030303,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.315789,0.52356,0.0,0.0,1.111111,0.0,0.904977,0.540541,0.327869,0.0,0.0,2.074689,0.0,0.423729,0.246914,0.542005,0.271003,0.460829,0.07326,0.414938,0.138696,0.26738,0.382166,0.264085,0.097276,0.331126,0.196721,0.237248,0.12443,0.155581,0.148478,0.474121,0.086468,0.112952,0.179276,0.447141,0.080128,0.310961,0.259943,0.347544,0.287615,0.146795,0.129833,0.266785,0.350263,0.25843,0.215395,0.319353,0.269356,0.382494,0.344511,0.333148,0.410388,0.248056,0.335838,0.242973,0.375451,0.277494,0.280101,0.339549,0.376678,0.3823,0.450464,0.270682,0.278043,0.293711,0.365255,0.549507,0.249204,0.490605,0.553698,0.568041,0.509176,0.621939,0.499486,0.49564,0.55671,0.525487,0.522649,0.478716,0.522908,0.540446,0.609095,0.517686,0.548436,0.568655,0.570031,0.587175,0.60672,0.524713,0.627426,0.56925,0.589016,0.56965,0.604199,0.497983,0.471805,0.482771,0.455394,0.482438,0.481476,0.489727,0.449868,0.408371,0.40964,0.386137,0.38936,0.351438,0.356012,0.311915,0.291775,0.298553,0.2841,0.292763,0.280267,0.256933,0.272223,0.256496,0.230248,0.21276,0.207795,0.209201,0.211582,0.201035,0.212097,0.199335,0.199095,0.203281,0.199828,0.188727,0.187433,0.212947,0.211892,0.20159,0.210212,0.199977,0.19413,0.204403,0.205532,0.189889,0.197841,0.212532,0.193731,0.210403,0.201153,0.197627,0.184508,0.187543,0.236264,0.189191,0.17819,0.17901,0.182807,0.194248,0.185405,0.182659,0.186658,0.182034,0.201725,0.182706,0.176016,0.174729,0.175019,0.192843,0.179569,0.178954,0.1635,0.158869,0.164495,0.156268,0.149268,0.146338,0.143314,0.144939],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6875,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.45045,0.0,0.961538,0.0,0.0,0.0,0.729927,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.854701,0.0,0.0,0.0,0.0,0.271003,0.271003,0.0,0.07326,0.207469,0.416089,0.0,0.254777,0.264085,0.194553,0.248344,0.262295,0.355872,0.0,0.077791,0.111359,0.11853,0.172936,0.075301,0.286841,0.223571,0.293803,0.233221,0.233949,0.254866,0.287615,0.146795,0.201962,0.2075,0.336791,0.369185,0.113366,0.234192,0.150338,0.275752,0.37322,0.289962,0.355262,1.216429,0.324454,0.187752,0.33213,0.418675,0.57238,0.51423,0.373459,0.656281,0.659502,0.317205,0.595186,0.574464,0.512196,0.631421,0.239974,0.765344,0.662349,1.541551,1.084388,1.254762,1.303683,1.119222,1.063161,1.33221,1.127014,1.2389,1.25947,1.350752,1.721155,1.725383,1.548228,1.823286,1.490232,1.698873,1.765162,1.992702,1.693518,1.399259,1.784032,1.584962,1.563356,1.757244,1.73848,1.864238,2.147353,2.150894,2.11881,2.163809,2.014654,2.402992,2.011731,2.049803,1.900975,1.923592,1.893456,1.732696,1.772457,1.567592,1.83572,2.462983,1.562352,1.408187,1.595357,1.480144,1.409235,1.460512,1.425961,1.279096,1.372487,1.380594,1.418976,1.378405,1.450399,1.399652,1.334589,1.322832,1.219618,1.28662,1.209565,1.174461,1.158014,1.134124,1.094778,1.06551,1.057706,0.993771,0.939995,0.954511,0.901116,0.909312,0.847255,0.932702,0.973173,0.969221,0.986626,0.94182,0.839107,0.879961,0.851314,0.814565,0.834498,0.839785,0.821247,0.800588,0.792317,0.75339,0.736259,0.726342,0.719857,0.722609,0.696572,0.672654,0.655571,0.615772,0.621377,0.605577,0.627976,0.609841,0.613554,0.629708],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,2.020202,0.0,3.278689,0.0,0.0,0.0,0.0,0.0,20.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.680272,0.512821,0.0,0.0,2.631579,0.0,0.934579,0.0,0.52356,0.0,0.0,0.0,0.735294,1.357466,2.162162,0.327869,1.801802,0.854701,0.414938,3.252033,0.0,3.703704,0.0,0.542005,0.460829,0.0,0.207469,0.693481,0.445633,0.0,0.264085,0.194553,0.248344,0.52459,0.652432,0.290336,0.194477,0.296956,0.276571,0.475573,0.414157,0.645393,0.606835,0.45406,0.647836,0.831817,0.648749,0.844868,0.505627,0.562608,1.319105,0.808299,0.701452,0.827571,0.798382,0.670258,1.770148,0.993339,0.876057,0.692147,0.710776,1.013206,0.905627,1.049338,1.129448,1.100106,0.730128,1.329642,1.299818,1.292507,1.196921,1.073073,1.08414,1.041186,1.303799,0.500715,1.753913,1.42499,1.47461,1.543167,1.702558,1.455441,1.491221,1.802542,1.597103,1.686071,1.87054,1.843939,1.742084,1.712695,1.731818,2.047493,1.781385,1.933709,1.788451,1.98863,2.15675,2.31895,2.092476,2.524356,2.664435,2.588874,2.851288,2.617193,2.479526,2.673706,2.371745,2.792929,2.362306,2.292501,2.257586,2.312303,2.339525,2.217615,2.127768,2.1782,1.90697,2.044126,1.881924,1.806915,1.963717,1.570131,1.699786,1.638232,1.54778,1.485594,1.490633,1.450632,1.447207,1.499026,1.442824,1.548812,1.495963,1.491956,1.531226,1.526662,1.562126,1.601799,1.659894,1.669683,1.717014,1.602813,1.719619,1.701997,1.723783,1.634046,1.663962,1.685809,1.646925,1.637282,1.589522,1.603382,1.626683,1.6258,1.643022,1.834657,1.66041,1.535813,1.617798,1.658272,1.597298,1.666016,1.682322,1.728368,1.775262,1.780974,1.705728,1.692615,1.715516,1.690788,1.695855,1.661839,1.676146,1.584533,1.546388,1.618536,1.57206,1.535382,1.49811,1.501278,1.527754],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.246914,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025913,0.0,0.0,0.035952,0.0,0.0,0.0,0.040415,0.0,0.0,0.010645,0.0,0.0,0.005742,0.0,0.0,0.0,0.011384,0.011044,0.004813,0.009737,0.0,0.001963,0.009658,0.015929,0.011777,0.0,0.017378,0.012958,0.004198,0.003413,0.003461,0.004906,0.008358,0.005738,0.003476,0.007774,0.005975,0.007526,0.014498,0.00602,0.007281,0.012559,0.009415,0.010911,0.012305,0.017161,0.011347,0.014965,0.023059,0.013463,0.018526,0.015078,0.015952,0.017811,0.018527,0.019075,0.020834,0.014011,0.019895,0.012118,0.012299,0.013385,0.014678,0.012585,0.012243,0.010751,0.011534,0.011192,0.012808,0.009698,0.010587,0.008792,0.010761,0.010132,0.010895,0.010443,0.01071,0.012002,0.010658,0.009071,0.008945,0.008515,0.007378,0.008164,0.008681,0.008909,0.008977,0.008312,0.010844,0.009552,0.010751,0.012613,0.013989,0.013424,0.013875,0.015263,0.015802,0.017353,0.016466,0.017601,0.018214,0.018842,0.018789,0.02012,0.018458,0.019226,0.019231,0.019686,0.017981,0.018476,0.020228,0.020351,0.022289,0.019385,0.022143,0.023379,0.024995,0.027064,0.028173,0.030291,0.032098,0.032371,0.033645,0.036125,0.036718,0.037474,0.038096,0.038382,0.037813,0.03701,0.037332,0.0348,0.035943,0.03545,0.034733,0.037568],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,0.246914,0.0,0.542005,0.230415,0.0,0.0,0.138696,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.075301,0.07171,0.0,0.0,0.0,0.025994,0.02317,0.017976,0.016311,0.043278,0.0,0.053887,0.012306,0.0,0.063871,0.043849,0.062267,0.057418,0.043186,0.042876,0.038162,0.05123,0.099398,0.086643,0.092498,0.089307,0.259078,0.083706,0.098761,0.088326,0.109964,0.073855,0.099343,0.05038,0.075088,0.080761,0.088309,0.077309,0.128144,0.126859,0.136827,0.185216,0.160196,0.122747,0.134167,0.094659,0.105643,0.133986,0.12511,0.176884,0.142292,0.177138,0.190948,0.201093,0.173978,0.164417,0.198426,0.22465,0.162439,0.155939,0.175143,0.156644,0.231769,0.198007,0.246663,0.263334,0.213576,0.23222,0.221238,0.208126,0.188764,0.19354,0.181796,0.17803,0.177888,0.187065,0.184741,0.165569,0.167173,0.172386,0.134669,0.170649,0.161072,0.171357,0.151872,0.158985,0.153086,0.140383,0.150312,0.2004,0.155498,0.205003,0.157841,0.169199,0.145969,0.149139,0.187557,0.165011,0.165067,0.157167,0.153123,0.149465,0.164229,0.163613,0.198177,0.151603,0.165189,0.136256,0.140429,0.137095,0.130273,0.133038,0.149608,0.150361,0.180789,0.213496,0.192042,0.171541,0.178144,0.192968,0.195481,0.211514,0.194058,0.197689,0.180839,0.177714,0.173134,0.171541,0.16317,0.16246,0.166228,0.155262,0.154971,0.146762,0.138391,0.142267,0.138718,0.133225,0.126739,0.12834,0.12664],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.934579,0.0,0.0,0.0,0.571429,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.829876,0.271003,0.0,0.0,0.0,0.271003,0.230415,0.0,0.0,0.277393,0.26738,0.127389,0.088028,0.291829,0.082781,0.131148,0.0,0.165906,0.077791,0.0,0.19755,0.043234,0.112952,0.035855,0.127755,0.186966,0.025913,0.051989,0.208526,0.107855,0.228348,0.158684,0.177857,0.363734,0.196899,0.272078,0.393868,0.162866,0.151219,0.241158,0.246776,0.281759,0.114487,0.187842,0.171186,0.139591,0.223942,0.280101,0.200196,0.247899,0.277167,0.247313,0.241076,0.165088,0.168452,0.130148,0.238916,0.081914,0.311534,0.252821,0.367218,0.357987,0.346731,0.272447,0.34512,0.357609,0.329397,0.373783,0.334658,0.384576,0.309138,0.374532,0.373964,0.533937,0.372918,0.326039,0.40802,0.484566,0.36368,0.414739,0.317754,0.416094,0.40231,0.331808,0.357871,0.363328,0.416316,0.419442,0.389035,0.407564,0.486857,0.491991,0.550252,0.619634,0.605987,0.545331,0.604616,0.605832,0.599546,0.626595,0.612138,0.584917,0.528116,0.580579,0.51876,0.536501,0.511054,0.485532,0.428961,0.506015,0.455769,0.536611,0.489458,0.496327,0.474061,0.520473,0.487879,0.466488,0.463456,0.442086,0.456091,0.460421,0.464172,0.429043,0.452814,0.387273,0.398534,0.379481,0.37617,0.364355,0.365408,0.34522,0.327472,0.319596,0.329426,0.333426,0.318568,0.348466,0.299024,0.281219,0.294242,0.294007,0.293468,0.314345,0.31361,0.335313,0.341113,0.36293,0.356087,0.365346,0.362078,0.347309,0.355468,0.364151,0.353389,0.330395,0.313441,0.322983,0.326264,0.312801,0.30166,0.294821,0.284567],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.900901,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.097276,0.0,0.0,0.0,0.0,0.0,0.03712,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.006264,0.026686,0.011484,0.0,0.0,0.038162,0.0,0.0,0.0,0.004868,0.008119,0.005888,0.0,0.003186,0.0,0.0,0.0,0.0,0.0,0.010239,0.001154,0.004906,0.0,0.003825,0.005213,0.00311,0.001195,0.00215,0.006766,0.00516,0.004045,0.00591,0.001448,0.00291,0.006922,0.00429,0.005673,0.003592,0.00429,0.005696,0.006368,0.0193,0.013293,0.014962,0.023159,0.02341,0.026236,0.014011,0.01658,0.0215,0.01703,0.013094,0.013629,0.008611,0.01494,0.017977,0.019507,0.019826,0.021773,0.019269,0.015279,0.015805,0.01633,0.016859,0.015,0.012925,0.015378,0.015556,0.01342,0.012109,0.016386,0.014191,0.015309,0.016328,0.019442,0.018732,0.020914,0.022606,0.021207,0.02061,0.021308,0.021732,0.021528,0.022563,0.024888,0.021582,0.024317,0.024264,0.026319,0.025079,0.029491,0.026547,0.027363,0.027255,0.026804,0.028022,0.032444,0.032553,0.032548,0.034799,0.04119,0.040049,0.042371,0.044686,0.0471,0.054153,0.053569,0.059099,0.063479,0.071876,0.080698,0.08589,0.094411,0.098468,0.099396,0.107903,0.113305,0.118265,0.120636,0.123196,0.130569,0.132601,0.135346,0.131333,0.137803,0.140487],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.022536,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.001913,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.000772,0.0,0.0,0.0,0.000315,0.0,0.0,0.000442,0.000208,0.000881,0.001357,0.000959,0.000996,0.000766,0.000764,0.000837,0.000472,0.000581,0.000448,0.000346,0.000598,0.000309,0.000194,0.000352,0.000696,0.000142,0.000488,0.00048,0.000309,0.000131,0.000342,0.000358,0.000482,0.000648,0.000476,0.000309,0.000283,0.000624,0.000591,0.000776,0.001589,0.001371,0.002114,0.001874,0.002283,0.001607,0.001804,0.001962,0.001677,0.001293,0.001192,0.001059,0.001009,0.000876,0.001162,0.00093,0.001062,0.000852,0.00095,0.000984,0.000948,0.000853,0.000803,0.000693,0.000746,0.000771,0.000751,0.000705,0.000684,0.000673,0.000748,0.001064,0.001697,0.003993,0.008761,0.01466,0.0213,0.05866,0.118523,0.173871],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.869159,0.0,0.0,0.0,0.571429,0.0,0.0,0.0,0.540541,0.0,0.45045,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.460829,0.0,0.0,0.277393,0.0,0.127389,0.176056,0.0,0.0,0.196721,0.0,0.082953,0.038895,0.0,0.395101,0.129702,0.0,0.143421,0.159693,0.186966,0.103654,0.155966,0.092678,0.161783,0.114174,0.100981,0.222321,0.121245,0.123062,0.113366,0.127741,0.144074,0.160114,0.172255,0.246776,0.104128,0.519964,0.267532,0.220885,0.22142,0.165523,0.133961,0.129539,0.18029,0.258052,0.209039,0.186094,0.238943,0.24188,0.209916,0.228677,0.074992,0.380219,0.234016,0.399732,0.448353,0.486667,0.325024,0.235456,0.415599,0.394761,0.313104,0.379723,0.443241,0.348417,0.546032,0.325342,0.361841,0.383094,0.402186,0.380577,0.622351,0.443895,0.504466,0.539327,0.625299,0.701441,0.788623,0.695892,0.696339,0.624279,0.607402,0.574969,0.563513,0.644064,0.663389,0.70782,0.661361,0.714713,0.613498,0.636008,0.583895,0.621212,0.630842,0.573604,0.588275,0.51698,0.552576,0.547966,0.564261,0.541084,0.514382,0.48938,0.507672,0.487765,0.538437,0.524414,0.495373,0.522769,0.542497,0.508241,0.5495,0.531707,0.503705,0.55273,0.599801,0.634284,0.596189,0.661555,0.603022,0.651899,0.663753,0.654667,0.668343,0.657759,0.643426,0.634368,0.613411,0.667659,0.697493,0.687198,0.745665,0.642924,0.622973,0.656093,0.618408,0.572826,0.553266,0.585478,0.549638,0.534123,0.52328,0.505557,0.484847,0.468199,0.432913,0.424171,0.420015,0.424146,0.377062,0.369565,0.366382,0.368132,0.356169,0.342408,0.333516,0.328282],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,19.607843,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.877193,0.0,0.0,0.0,0.52356,0.0,8.0,0.0,1.102941,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.423729,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.077791,0.0,0.0,0.0,0.037651,0.035855,0.0,0.0,0.0,0.0,0.0,0.017976,0.277279,0.100981,0.044464,0.013472,0.012306,0.0,0.0,0.025056,0.035581,0.028709,0.006169,0.024501,0.023852,0.034153,0.005522,0.057762,0.02921,0.012178,0.019627,0.045073,0.03823,0.032386,0.038065,0.056478,0.030235,0.046182,0.013652,0.013845,0.039248,0.066862,0.045902,0.090366,0.076188,0.056162,0.062358,0.082153,0.061923,0.105177,0.056146,0.058664,0.050189,0.06537,0.086519,0.085732,0.049682,0.082582,0.092685,0.078735,0.074787,0.096374,0.080507,0.104217,0.110982,0.131952,0.163465,0.168164,0.156363,0.150747,0.150726,0.192119,0.192093,0.174718,0.195109,0.170641,0.183075,0.186426,0.198816,0.188483,0.176891,0.166324,0.17091,0.155072,0.143439,0.155092,0.148246,0.137105,0.14377,0.148977,0.141734,0.137327,0.132424,0.153229,0.140241,0.16479,0.142427,0.145061,0.143147,0.147712,0.158836,0.151246,0.154055,0.154751,0.174216,0.17123,0.181691,0.171927,0.199272,0.194333,0.234908,0.259767,0.272363,0.322903,0.316183,0.318157,0.348646,0.366876,0.383948,0.432731,0.397279,0.38057,0.361785,0.382639,0.379183,0.377987,0.381776,0.366745,0.350587,0.362162,0.348871,0.357044,0.344389,0.348904,0.362204,0.337553,0.334969,0.307434,0.280009,0.270823,0.261286,0.254959,0.250814,0.234201,0.229546],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.759398,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,60.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,2.040816,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.246914,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.176056,0.194553,0.0,0.131148,0.059312,0.082953,0.077791,0.074239,0.03951,0.216169,0.112952,0.322696,0.223571,0.160256,0.103654,0.129971,0.115848,0.161783,0.163106,0.072129,0.148214,0.188603,0.15998,0.056683,0.159676,0.544976,0.177904,0.287092,0.098711,0.159255,0.128798,0.102459,0.220885,0.168472,0.141181,0.182674,0.178606,0.160974,0.117876,0.320919,0.118423,0.152055,0.194368,0.20152,0.252568,0.104989,0.213413,0.394902,0.275414,0.354511,0.332737,0.298736,0.315017,0.355676,0.371539,0.384301,0.306585,0.330982,0.328777,0.391451,0.336782,0.35869,0.41841,0.327111,0.317406,0.310307,0.275022,0.329664,0.23796,0.262471,0.228033,0.198313,0.25804,0.23685,0.216563,0.187014,0.171676,0.142582,0.153012,0.179283,0.16215,0.211181,0.1463,0.152983,0.147772,0.181608,0.163912,0.158867,0.135532,0.129476,0.119494,0.13792,0.129548,0.12165,0.136944,0.121631,0.123427,0.125041,0.118647,0.135276,0.135146,0.1462,0.127057,0.131244,0.146141,0.161582,0.182145,0.18344,0.200501,0.225636,0.242239,0.23135,0.274545,0.301028,0.32787,0.349244,0.400435,0.425019,0.471145,0.483604,0.47969,0.516697,0.529111,0.564015,0.543978,0.477295,0.468495,0.406781,0.387813,0.36307,0.320989,0.30964,0.292282,0.286032,0.267968,0.254376,0.23269,0.22157,0.210477,0.198313,0.189286,0.181306,0.170988,0.156168,0.144321,0.140797,0.135204,0.131422,0.126271,0.120711,0.116367],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.131148,0.059312,0.041477,0.038895,0.074239,0.0,0.0,0.075301,0.0,0.0,0.0,0.0,0.0,0.02317,0.017976,0.0,0.014426,0.029643,0.0,0.0,0.056683,0.02129,0.006264,0.01779,0.022967,0.037016,0.030626,0.023852,0.085383,0.011044,0.019254,0.02921,0.507429,0.015702,0.028975,0.070088,0.038275,0.042294,0.013033,0.012958,0.008397,0.010239,0.013845,0.039248,0.041789,0.019126,0.022591,0.035761,0.037043,0.03548,0.044459,0.057623,0.046925,0.054668,0.053594,0.035642,0.060756,0.059348,0.06556,0.067041,0.062741,0.076633,0.096103,0.080215,0.104349,0.096894,0.064074,0.09971,0.111117,0.184481,0.11653,0.202881,0.173138,0.153053,0.121876,0.168468,0.131142,0.12408,0.113987,0.126794,0.135337,0.11,0.16993,0.097028,0.112708,0.088196,0.101118,0.14592,0.096394,0.099054,0.083135,0.086702,0.081307,0.078902,0.076611,0.078998,0.086139,0.085273,0.08385,0.071628,0.073441,0.064672,0.070587,0.069877,0.05703,0.061787,0.062365,0.059177,0.072975,0.063017,0.061929,0.061618,0.063973,0.065693,0.081412,0.064034,0.077644,0.074844,0.071811,0.075908,0.083105,0.084661,0.104567,0.089879,0.070498,0.084589,0.087009,0.081897,0.074941,0.081119,0.07866,0.075753,0.077959,0.073551,0.074167,0.071736,0.066159,0.068414,0.069363,0.065065,0.061528,0.056665,0.064372,0.059854,0.057369,0.054766,0.056433,0.051939],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,45.833333,0.0,0.0,0.0,0.0,0.0,11.428571,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.917431,1.818182,0.0,0.990099,0.0,0.0,0.0,0.689655,0.0,0.0,0.961538,0.0,0.657895,0.0,0.729927,0.571429,0.0,8.823529,0.0,1.081081,0.0,0.45045,0.854701,0.414938,0.271003,0.423729,0.0,0.0,0.813008,0.460829,0.0,1.659751,0.138696,0.089127,0.0,0.264085,0.097276,0.082781,0.459016,0.237248,0.373289,0.077791,0.445434,0.316081,0.259403,0.338855,0.286841,0.319387,0.320513,0.388702,0.337926,0.718258,0.593205,0.195727,0.851125,0.355714,0.552337,0.332267,0.419454,0.819672,0.394638,0.453656,0.338769,0.308471,0.385888,0.429328,0.483834,0.36446,0.505415,0.516041,0.580498,0.372915,0.682528,0.691325,0.921537,0.858569,0.634286,0.799067,0.789286,1.095601,0.386497,1.008193,1.082323,0.85493,1.014876,1.030864,0.991803,0.810657,0.95008,0.864345,1.135104,0.988461,1.005982,0.873588,1.036692,0.870199,0.873715,0.921819,1.004928,0.81345,0.843503,0.920358,0.877998,0.845683,1.120907,1.205195,1.030148,1.10105,1.042614,1.04685,0.967239,0.927631,1.061502,0.905709,0.884796,0.857104,0.987037,0.879241,0.846601,0.740265,0.775107,0.70118,0.717686,0.675005,0.646633,0.517038,0.526309,0.581241,0.544156,0.484765,0.520871,0.474515,0.454497,0.464203,0.464126,0.457193,0.451565,0.444061,0.456202,0.445381,0.471265,0.460254,0.483369,0.492334,0.495482,0.487993,0.475056,0.474807,0.530717,0.516815,0.527698,0.543834,0.536585,0.548657,0.563457,0.560234,0.597493,0.587976,0.609077,0.599768,0.672991,0.612669,0.562205,0.592776,0.643309,0.625796,0.648747,0.656617,0.677102,0.70642,0.703186,0.67337,0.671938,0.671676,0.695062,0.678282,0.662025,0.644317,0.602176,0.595568,1.185564,1.329415,1.23128,0.989726,0.828054,0.715636],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03712,0.0,0.0,0.0,0.0,0.0,0.0,0.025913,0.0,0.0,0.071904,0.0,0.0,0.0,0.040415,0.012306,0.03401,0.02129,0.006264,0.035581,0.0,0.030847,0.067377,0.009541,0.017077,0.011044,0.0,0.082761,0.020297,0.009814,0.016097,0.03823,0.061828,0.008459,0.013033,0.038874,0.004198,0.075088,0.00923,0.022077,0.029252,0.040164,0.013902,0.037316,0.022704,0.043006,0.053158,0.053323,0.050161,0.073137,0.072425,0.066919,0.046913,0.035037,0.083841,0.029331,0.031639,0.028996,0.059051,0.041012,0.052507,0.067683,0.084917,0.062427,0.054015,0.078229,0.073897,0.059418,0.062443,0.079727,0.074174,0.046367,0.045651,0.029257,0.039861,0.082983,0.064609,0.045046,0.061664,0.037158,0.038041,0.049662,0.028432,0.021695,0.019925,0.032245,0.024853,0.031484,0.02929,0.035939,0.017779,0.025122,0.023796,0.019594,0.016682,0.021822,0.021354,0.021278,0.021678,0.019879,0.020232,0.024224,0.019861,0.018817,0.014166,0.014578,0.017281,0.013352,0.013265,0.011538,0.014245,0.014601,0.019842,0.00955,0.009839,0.010728,0.008817,0.00838,0.011643,0.009459,0.00825,0.009138,0.010257,0.007754,0.009726,0.008301,0.009502,0.00992,0.010008,0.008317,0.008357,0.007249,0.00821,0.008997,0.006954,0.006711,0.006008,0.005375,0.005727,0.005224,0.005993,0.005578,0.005346,0.00492],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.540541,0.327869,0.0,0.0,0.0,0.271003,0.423729,0.0,0.0,0.0,0.230415,0.0,0.0,0.0,0.26738,0.127389,0.528169,0.097276,0.082781,0.196721,0.29656,0.12443,0.155581,0.03712,0.19755,0.172936,0.150602,0.0,0.031939,0.213675,0.07774,0.389914,0.185357,0.125831,0.179416,0.201962,0.237142,0.24249,0.123062,0.238068,0.149031,0.194187,0.169009,0.338769,0.431859,0.379762,0.30053,0.26184,0.193274,0.293622,0.369992,0.491191,0.451423,0.318728,0.293096,0.365082,0.439858,0.469198,0.565826,0.596163,0.433462,0.274586,0.897807,0.76682,1.094004,1.134784,0.906476,0.996582,0.812807,0.833132,1.025174,0.949831,1.06012,0.876342,0.795031,0.87442,0.687865,0.764028,0.842207,0.681035,0.714034,0.670403,0.692983,0.729117,0.550014,0.570489,0.6078,0.545554,0.545271,0.594967,0.644216,0.84393,0.719584,0.683817,0.643181,0.749919,0.720334,0.72022,0.648838,0.69988,0.713595,0.74171,0.656276,0.58591,0.486322,0.508724,0.516345,0.516735,0.454887,0.545803,0.449186,0.397334,0.421298,0.398265,0.376741,0.394929,0.342529,0.386329,0.35386,0.377945,0.332816,0.353955,0.355658,0.341092,0.363142,0.333958,0.304231,0.322748,0.320999,0.286837,0.322219,0.282753,0.287593,0.266648,0.248914,0.261849,0.244083,0.253716,0.238394,0.280552,0.262193,0.338313,0.26352,0.248823,0.261398,0.273208,0.267942,0.268585,0.277283,0.303691,0.303852,0.283723,0.295695,0.30472,0.285848,0.288857,0.296569,0.295783,0.28469,0.280924,0.266657,0.266894,0.26725,0.274871,0.262347,0.263611,0.276272],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.857143,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.917431,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.45045,0.877193,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.735294,0.904977,1.081081,0.655738,1.351351,0.42735,0.0,0.0,0.423729,0.246914,0.542005,0.0,0.230415,0.07326,0.0,0.693481,0.356506,0.382166,0.264085,0.291829,0.331126,0.655738,0.237248,0.248859,0.233372,0.371195,0.790202,0.086468,0.301205,0.358551,0.606835,0.373932,0.259134,0.337926,0.671918,0.449398,0.358832,0.331795,0.237142,0.498451,0.430716,0.646185,0.553545,0.350789,0.480342,0.430638,0.573755,0.465515,0.443639,0.506603,0.441769,0.505415,0.628012,0.625152,0.465162,0.701845,0.761413,0.76255,0.579428,0.777652,0.48376,0.646543,0.781597,0.353039,0.902713,0.961137,1.019413,0.961004,0.867605,0.862749,0.805281,0.791572,0.824783,0.821191,0.924927,0.885033,0.758661,0.89134,0.846603,1.214754,0.909847,0.967927,1.153639,1.022393,1.053044,1.053464,1.03377,1.294601,1.175716,1.033235,0.963273,0.923242,0.973751,0.90795,0.848195,0.823778,0.941919,0.778554,0.772856,0.81029,0.744453,0.785408,0.73414,0.714425,0.66622,0.626406,0.625093,0.588947,0.517499,0.665665,0.584229,0.569251,0.527434,0.502578,0.533479,0.592311,0.537078,0.541134,0.571544,0.536198,0.563053,0.57434,0.564009,0.599959,0.620992,0.546939,0.652335,0.593907,0.6374,0.635276,0.670199,0.646301,0.679548,0.639784,0.647315,0.713596,0.687255,0.683363,0.688843,0.647798,0.68227,0.653373,0.676504,0.744358,0.65975,0.63428,0.642216,0.630315,0.611403,0.607254,0.619976,0.629643,0.620248,0.608757,0.637412,0.609227,0.598883,0.583457,0.580383,0.576602,0.589014,0.561808,0.551126,0.585115,0.609889,0.627247,0.592282,0.608294,0.599922],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,1.311475,0.0,0.42735,0.0,0.271003,0.0,0.246914,0.0,0.271003,0.230415,0.0,0.207469,0.138696,0.0,0.0,0.0,0.389105,0.165563,0.0,0.059312,0.041477,0.077791,0.185598,0.03951,0.086468,0.075301,0.07171,0.127755,0.080128,0.233221,0.36392,0.092678,0.143807,0.065242,0.086555,0.222321,0.107773,0.110756,0.283415,0.223547,0.119018,0.231276,0.235416,0.222099,0.208257,0.15265,0.250455,0.198796,0.192539,0.146049,0.14208,0.070658,0.12234,0.178406,0.362137,0.105735,0.052133,0.082066,0.083967,0.081914,0.064608,0.156994,0.165065,0.160658,0.168567,0.25033,0.21748,0.22793,0.293819,0.264894,0.639153,0.366425,0.256384,0.277133,0.231487,0.241682,0.288086,0.27056,0.257935,0.226275,0.278466,0.274419,0.246584,0.27287,0.287946,0.331212,0.504657,0.375385,0.367118,0.338135,0.35416,0.340151,0.347543,0.291452,0.315406,0.306675,0.260711,0.2635,0.221292,0.26645,0.204418,0.22169,0.249486,0.175063,0.177684,0.153767,0.165204,0.19136,0.168837,0.159446,0.189118,0.139605,0.132972,0.129362,0.147189,0.139431,0.144586,0.149731,0.142109,0.153576,0.148646,0.145166,0.148355,0.151231,0.148805,0.150032,0.152273,0.165348,0.159145,0.160887,0.164261,0.171465,0.148609,0.16545,0.165979,0.184836,0.175556,0.18592,0.195369,0.192975,0.261483,0.214627,0.197618,0.200814,0.212725,0.195966,0.201139,0.212298,0.212582,0.215425,0.223692,0.213145,0.221324,0.219673,0.222579,0.235999,0.227126,0.256893,0.236699,0.239319,0.263769,0.265153,0.279707,0.268828,0.243941,0.239918],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.503759,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,1.639344,3.125,0.531915,0.0,10.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,12.5,27.45098,0.0,8.695652,0.0,0.0,0.0,13.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,10.810811,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.960784,0.0,0.0,1.37931,0.0,0.0,0.0,0.0,0.657895,0.0,0.729927,1.142857,0.0,0.0,1.809955,0.540541,0.0,0.0,0.42735,0.0,0.271003,0.0,0.0,0.271003,0.542005,0.460829,0.29304,0.0,1.10957,1.069519,0.636943,0.528169,0.0,0.496689,0.52459,0.533808,0.414766,0.272268,0.185598,0.474121,0.345871,0.64006,0.358551,0.191632,0.587607,0.621923,0.285937,0.301205,0.359518,0.505627,0.447201,0.53357,0.633167,0.381492,0.453463,0.56419,0.632674,0.524818,0.424897,0.401012,1.047409,1.245051,0.563525,0.5743,0.563177,0.603671,0.507429,0.555447,0.605261,0.684953,0.547623,0.515987,0.390998,0.384416,0.482808,0.399331,0.222668,0.451357,0.532804,0.589079,0.543932,0.628158,0.658414,0.551548,0.582806,0.681156,0.677179,0.644937,0.646755,0.769572,0.599097,0.639243,0.699098,0.642879,0.659585,0.714552,0.790242,0.730376,0.743074,0.664007,0.714848,0.627742,0.586451,0.61883,0.715287,0.685261,0.703275,0.708817,0.721297,0.741436,0.810925,0.737959,0.830645,0.730702,0.769469,0.773189,0.772706,0.784182,0.761013,0.836697,0.782153,0.727638,0.804123,0.797327,0.761004,0.806431,0.801669,0.860442,0.888906,0.911629,1.042598,1.061133,1.12726,1.122073,1.14265,1.171013,1.131729,1.151789,1.175937,1.169049,1.193734,1.206113,1.1666,1.191141,1.169187,1.236316,1.229944,1.273474,1.27669,1.342119,1.415145,1.494008,1.547495,1.649257,1.664873,1.740414,1.707478,1.686247,1.554261,1.597389,1.554691,1.48618,1.482326,1.463648,1.44593,1.402828,1.419763,1.372398,1.366795,1.355467,1.333691,1.333162,1.327235,1.354384,1.294193,1.279168,1.39806,1.425837,1.455063,1.420348,1.394976,1.422328],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.333333,0.0,0.0,0.0,33.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.980392,0.680272,0.0,0.0,0.45045,0.877193,0.0,0.0,0.0,0.52356,0.729927,0.0,0.0,0.367647,0.904977,0.540541,0.0,0.45045,0.854701,1.659751,1.355014,1.694915,0.493827,0.813008,1.626016,0.921659,1.758242,0.622407,0.416089,0.445633,0.89172,0.352113,0.875486,0.165563,0.327869,0.415184,0.12443,0.544535,0.556793,0.671671,0.518807,0.451807,0.573682,0.542958,0.42735,0.67375,0.285937,0.301205,1.97735,0.309901,0.562608,0.726249,0.444564,0.664534,0.714205,0.425804,0.513656,0.542608,0.516766,0.431859,0.477766,0.61537,0.557832,0.447291,0.500602,0.671827,0.556142,0.302257,0.441068,0.51929,0.273811,0.253764,0.473542,0.431928,0.688526,0.771357,0.271125,0.780062,0.91308,0.5011,0.599541,0.536422,0.446909,0.665513,0.637897,0.506566,1.096269,0.783824,0.765532,0.574633,0.475279,0.433312,0.579955,0.483057,0.522841,0.443229,0.561564,0.597087,0.598182,0.671844,0.837592,0.608667,0.523948,0.513162,0.504964,0.539843,0.48157,0.613086,0.497464,0.479792,0.472071,0.522757,0.507004,0.476955,0.525408,0.464755,0.721519,0.430819,0.391079,0.403192,0.330891,0.306957,0.341239,0.297369,0.293395,0.275034,0.279442,0.242597,0.237113,0.319714,0.218606,0.207122,0.225843,0.261172,0.239437,0.259202,0.287264,0.262148,0.239949,0.276805,0.27813,0.281999,0.285832,0.297294,0.295543,0.309016,0.282093,0.283158,0.284012,0.317901,0.252923,0.260345,0.248438,0.282503,0.262054,0.261697,0.310077,0.271426,0.255561,0.265855,0.273894,0.266146,0.278652,0.272677,0.309258,0.271342,0.281957,0.252061,0.258296,0.25529,0.264244,0.261469,0.267094,0.265404,0.241962,0.241441,0.267613,0.262367,0.258738,0.238713,0.238125,0.233169],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.131148,0.237248,0.082953,0.0,0.03712,0.711181,0.0,0.0,0.035855,0.159693,0.133547,0.025913,0.0,0.0,0.017976,0.016311,0.014426,0.0,0.026943,0.012306,0.045346,0.010645,0.050113,0.044476,0.034451,0.055525,0.036751,0.062014,0.05123,0.027611,0.033694,0.05842,0.06901,0.025515,0.035414,0.03823,0.026498,0.093047,0.065166,0.017277,0.054578,0.061436,0.028843,0.044154,0.062683,0.074591,0.072988,0.101065,0.071697,0.081711,0.076354,0.091165,0.088996,0.099733,0.087634,0.089468,0.119973,0.098675,0.110318,0.128696,0.104032,0.088542,0.115786,0.100721,0.095044,0.091194,0.094181,0.071098,0.094141,0.081148,0.075318,0.0731,0.07695,0.08351,0.093569,0.105099,0.089019,0.093941,0.105506,0.101851,0.101609,0.109362,0.113614,0.097342,0.107422,0.104141,0.109327,0.117763,0.109199,0.107759,0.118162,0.107706,0.107554,0.096499,0.101573,0.100428,0.098978,0.085796,0.10244,0.101,0.094209,0.09348,0.100883,0.109878,0.10743,0.115626,0.126529,0.125198,0.134139,0.137278,0.135553,0.161759,0.172673,0.156889,0.171354,0.188612,0.207498,0.204558,0.212304,0.234896,0.238197,0.231673,0.285614,0.257841,0.231146,0.258745,0.262759,0.265683,0.274581,0.267997,0.29715,0.282366,0.29249,0.29235,0.276949,0.295263,0.293089,0.292711,0.284825,0.291479,0.291349,0.276007,0.287938,0.280812,0.274958,0.265618,0.269658,0.276577],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.166667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.111111,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.127389,0.176056,0.097276,0.0,0.0,0.118624,0.0,0.038895,0.111359,0.03951,0.0,0.037651,0.035855,0.063877,0.026709,0.155481,0.103977,0.139018,0.143807,0.097863,0.043278,0.044464,0.215546,0.196899,0.113366,0.117096,0.062641,0.169009,0.195223,0.178913,0.110254,0.143109,0.073998,0.242973,0.057762,0.08763,0.105545,0.052993,0.086926,0.111504,0.105991,0.063441,0.14771,0.129578,0.382048,0.163828,0.044995,0.100574,0.133723,0.153008,0.1425,0.192801,0.206725,0.176323,0.191369,0.18749,0.146439,0.26226,0.219448,0.179664,0.252251,0.228812,0.276739,0.205913,0.203238,0.224721,0.208415,0.262356,0.25323,0.177401,0.23082,0.505488,0.21066,0.159962,0.173848,0.171999,0.186384,0.179532,0.17849,0.131816,0.130105,0.139766,0.122129,0.123116,0.157537,0.1271,0.137843,0.119114,0.11233,0.105469,0.086118,0.069758,0.084906,0.083034,0.068019,0.07816,0.084056,0.064747,0.066762,0.055107,0.062174,0.057763,0.068979,0.071202,0.065088,0.06778,0.078412,0.079548,0.081373,0.075282,0.09215,0.081322,0.07714,0.078297,0.080458,0.080787,0.085329,0.08836,0.085636,0.083868,0.091949,0.086491,0.103298,0.099402,0.096634,0.09812,0.140926,0.098438,0.094002,0.099962,0.10506,0.100965,0.099935,0.09972,0.108025,0.105314,0.111894,0.106579,0.106344,0.107874,0.107424,0.115979,0.120841,0.116324,0.110664,0.106061,0.114633,0.106007,0.105735,0.104143,0.100295,0.101871],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,1.639344,0.0,1.595745,0.0,0.0,0.0,0.0,4.166667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,0.0,1.342282,2.702703,0.0,0.0,0.0,0.917431,0.0,0.0,2.970297,1.960784,1.360544,0.0,0.689655,0.0,0.877193,0.0,0.0,0.657895,0.0,0.0,1.142857,2.222222,2.205882,0.904977,0.0,0.327869,0.45045,0.854701,0.414938,6.504065,0.847458,0.246914,2.439024,0.542005,0.921659,0.21978,2.489627,3.467406,2.317291,2.292994,2.816901,2.431907,3.311258,2.557377,2.728351,2.032352,2.022559,2.301411,2.568155,2.507566,1.807229,1.577626,0.798467,1.709402,1.42524,1.533663,1.436515,1.420097,1.696298,1.197346,1.037498,1.118146,1.525966,1.349053,1.351927,1.07116,1.129692,0.930179,1.0488,0.937155,0.648762,0.933515,0.960848,0.986763,1.032082,0.844361,1.697743,1.297447,0.96212,0.930369,0.71054,0.968807,0.682446,0.902641,0.645073,0.301121,1.08669,1.046803,0.950559,0.929723,0.934463,0.872308,0.837535,0.980042,0.983891,1.074425,1.107401,0.952388,0.962329,0.840582,0.87306,1.009878,0.852383,0.851561,0.864194,0.853345,0.813606,0.847424,0.935452,0.951844,0.79855,0.687537,0.744931,0.820922,0.75367,0.792524,0.771377,0.788132,0.816948,0.782704,0.769155,0.768054,0.735339,0.744707,0.706576,0.687904,0.607605,0.603845,0.58357,0.529321,0.615645,0.534746,0.517111,0.510098,0.545136,0.501625,0.500839,0.523306,0.507544,0.591564,0.562113,0.563594,0.618124,0.638004,0.642466,0.653221,0.68188,0.661014,0.708516,0.701677,0.723601,0.696208,0.717684,0.676938,0.712607,0.702802,0.714414,0.751077,0.719853,0.693802,0.730497,0.773123,0.796843,0.808757,0.856319,0.954617,0.872055,0.806647,0.819663,0.809258,0.82101,0.786228,0.776341,0.780062,0.763627,0.788763,0.775327,0.748968,0.73891,0.698026,0.718302,0.691425,0.693379,0.652146,0.609529,0.611686,0.603594,0.614551,0.589659,0.56761,0.560893],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,2.040816,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.934579,0.0,0.0,0.729927,0.0,0.0,0.367647,0.452489,1.081081,0.327869,0.900901,1.709402,2.074689,0.271003,0.423729,0.246914,0.271003,0.542005,1.152074,0.07326,0.622407,0.277393,0.089127,0.127389,0.176056,0.486381,0.496689,0.196721,0.29656,0.165906,0.272268,0.185598,0.11853,0.302637,0.150602,0.286841,0.223571,0.320513,0.181394,0.389914,0.231696,0.305591,0.29359,0.302943,0.311249,0.309848,0.319961,0.374107,0.383223,0.864445,0.42697,0.43638,0.388673,0.551268,0.481801,0.443989,0.336849,0.298436,0.365123,0.454656,0.380765,0.479701,0.745484,0.783159,0.49484,0.469198,0.717001,0.562576,0.634834,0.348424,0.775156,0.716674,0.889356,0.823718,0.922024,0.768348,0.868714,0.932683,0.818763,1.016173,0.841447,1.024813,0.952873,0.982089,0.956004,0.939275,0.931396,0.909476,1.03144,1.022972,1.095866,0.969054,1.014534,1.100835,1.062133,1.002369,1.089958,0.949295,0.966323,1.019275,0.854305,0.899786,0.86442,0.899944,0.860276,0.846929,0.872046,0.884171,0.917005,0.830004,0.814746,0.914594,0.810952,0.796108,0.749333,0.814474,0.766781,0.816573,0.781155,0.792578,0.71516,0.722065,0.704229,0.742405,0.752096,0.732297,0.742447,0.769813,0.784927,0.749205,0.739111,0.725359,0.732428,0.746623,0.761209,0.75033,0.706791,0.684708,0.669398,0.65205,0.649018,0.619802,0.625132,0.606149,0.608079,0.580755,0.578077,0.597524,0.565367,0.642819,0.57952,0.519127,0.534961,0.555803,0.526937,0.529287,0.524764,0.536225,0.521194,0.502413,0.526569,0.506231,0.487668,0.479568,0.491268,0.478076,0.486358,0.479836,0.458267,0.460928,0.451161,0.460715,0.463882,0.424048,0.397284],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,17.553191,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,0.0,4.545455,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,2.12766,0.0,0.0,1.360544,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.111111,0.735294,0.0,0.540541,0.655738,0.0,0.0,0.0,0.0,0.423729,0.0,0.542005,0.271003,0.230415,0.0,0.0,0.277393,4.099822,0.127389,0.176056,0.097276,0.165563,0.52459,0.177936,0.082953,0.233372,4.639941,0.07902,0.129702,0.150602,0.286841,0.670712,0.160256,0.310961,0.207954,0.115848,0.233687,0.228348,0.317369,0.281607,0.309848,0.369185,0.362771,0.372578,0.306941,0.382494,0.361736,0.240607,0.214382,0.257597,0.347222,0.254017,0.211793,0.350518,0.377527,0.467125,0.457165,0.299468,0.362137,0.401793,0.30411,0.310988,0.340065,0.300352,0.15806,0.37286,0.36565,0.315578,0.337133,0.377828,0.379992,0.347271,0.337312,0.350038,0.385919,0.35756,0.378058,0.341143,0.361458,0.411146,0.411642,0.475874,0.514798,0.500704,0.501355,0.557884,0.582895,0.61556,0.677793,0.827163,0.860386,0.987793,0.809554,0.797842,0.788109,0.80193,0.784463,0.851613,0.784987,0.71205,0.700035,0.71871,0.728626,0.734012,0.727959,0.654706,0.658972,0.773581,0.662379,0.750602,0.653099,0.724543,0.616196,0.589301,0.600235,0.664995,0.632648,0.678026,0.736196,0.778431,0.79702,0.889915,0.851984,0.876329,0.882271,0.904058,0.866816,0.927437,0.883824,0.896566,0.853283,0.840691,0.834593,0.778948,0.749056,0.733722,0.706232,0.655606,0.621545,0.642694,0.628831,0.632272,0.642468,0.636349,0.636472,0.638976,0.609032,0.630581,0.639585,0.646217,0.633828,0.63384,0.622649,0.598332,0.609102,0.576185,0.568413,0.561062,0.556018,0.557216,0.550465,0.549649,0.535143,0.526592,0.551971,0.536211,0.552007,0.533792,0.539603,0.546777],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.278689,1.5625,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,11.764706,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.834862,0.0,5.319149,0.0,2.941176,0.0,0.0,0.689655,1.351351,0.877193,1.923077,1.869159,0.657895,0.0,1.459854,1.714286,1.111111,0.0,0.452489,1.081081,1.311475,0.0,0.0,1.244813,0.542005,0.0,1.975309,1.084011,0.542005,1.152074,0.586081,1.659751,0.693481,2.139037,0.254777,0.440141,0.680934,1.241722,0.655738,0.59312,0.456242,0.427849,0.77951,0.908732,0.345871,0.753012,0.681248,0.606835,0.45406,1.062451,0.779828,1.065802,0.719036,0.570869,0.793422,0.963391,0.767884,1.156781,0.952273,1.319991,1.434478,0.951788,1.642168,1.110494,1.169913,1.588513,1.02459,0.800707,1.150421,1.03695,1.303077,1.244357,1.242716,1.376278,1.498602,1.239215,1.546616,1.723393,1.490407,1.494932,0.837602,2.043369,1.796908,2.951133,2.763103,2.511078,2.09832,2.386814,2.830909,2.548313,2.289625,2.53764,2.508075,2.379272,2.464066,2.420399,2.538564,2.556551,2.388983,2.580154,2.573351,2.56868,2.463843,2.435167,2.594605,2.39305,2.545662,2.439124,2.503032,2.385318,2.694205,2.47446,2.445647,2.419271,2.516605,2.422203,2.32282,2.283084,2.284358,2.335645,2.20112,2.099561,2.225553,2.017041,2.126089,5.08285,2.022304,1.902324,1.926831,1.818542,1.772807,1.821675,1.839699,1.768391,1.807114,1.830446,1.826536,1.855177,1.892155,1.827435,1.845685,1.870647,1.784495,1.832397,1.828937,1.764318,1.765689,1.70785,1.668179,1.731234,1.679033,1.704602,1.741632,1.769173,1.78871,1.907086,1.904257,1.9612,2.047964,2.020033,2.071956,1.961085,1.75646,1.741951,1.743526,1.640331,1.632941,1.586195,1.559712,1.522556,1.489549,1.427412,1.41233,1.373378,1.355781,1.344953,1.327435,1.291344,1.261785,1.211931,1.251783,1.208914,1.218202,1.180338,1.181592,1.229558],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,8.510638,0.0,0.0,0.0,0.0,0.689655,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,1.111111,0.367647,2.714932,0.0,0.327869,0.0,0.42735,0.414938,0.271003,0.423729,0.246914,0.542005,0.0,0.230415,0.586081,0.414938,0.554785,0.445633,0.127389,0.176056,0.194553,0.662252,0.131148,0.415184,0.12443,0.194477,0.185598,0.395101,1.469952,0.037651,0.286841,0.127755,0.0,0.103654,0.18196,0.278035,0.233687,0.244658,0.216388,0.340892,0.404149,0.184593,0.260741,0.659996,1.998246,0.275752,0.424897,0.265285,0.30626,0.543815,0.34153,0.292672,0.303249,0.443016,0.442478,0.314033,0.495799,0.618051,0.568232,0.321435,0.373621,0.375777,0.474411,0.559746,0.25728,0.591179,0.518178,0.571866,0.590852,0.55508,0.646464,0.389201,0.65916,0.476465,0.466825,0.48832,0.468589,0.37533,0.386068,0.441178,0.542132,0.459712,0.434897,0.574231,0.572563,0.549441,0.51643,0.522941,0.741095,0.467338,0.532436,0.480469,0.487437,0.446416,0.460125,0.445484,0.46444,0.525497,0.451943,0.435866,0.45035,0.483191,0.501073,0.508908,0.436011,0.420561,0.376353,0.424203,0.36589,0.316073,0.353445,0.366856,0.333121,0.306386,0.314707,0.297729,0.335664,0.334661,0.32427,0.34637,0.3763,0.400484,0.460158,0.463093,0.482174,0.464187,0.508457,0.506979,0.551127,0.543955,0.560816,0.570994,0.553946,0.548231,0.564768,0.60514,0.585483,0.613315,0.610697,0.652903,0.643546,0.691035,0.678113,0.719857,0.79506,0.796166,0.766393,0.807756,0.815478,0.816285,0.823876,0.832016,0.844621,0.847557,0.844902,0.798289,0.807277,0.778876,0.759776,0.761919,0.751685,0.731919,0.6927,0.689867,0.712478,0.663793,0.651866,0.635837,0.653255,0.680914],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,20.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,2.013423,0.0,0.0,0.0,0.0,0.917431,0.0,1.06383,10.891089,0.0,0.0,0.0,0.689655,0.900901,0.877193,0.961538,0.934579,0.657895,0.52356,1.459854,2.285714,1.111111,1.102941,1.357466,2.162162,1.967213,1.801802,0.42735,4.979253,1.084011,1.694915,1.481481,2.439024,2.439024,2.534562,0.43956,1.86722,2.080444,1.693405,1.910828,1.93662,2.33463,1.738411,3.081967,2.313167,1.783492,1.905873,1.410542,2.489135,1.988759,1.24247,2.043743,2.65091,2.564103,2.746826,2.287497,2.734013,2.049254,2.136682,1.889786,2.386246,2.290179,2.461236,2.040585,2.022568,2.593335,2.890945,2.514929,2.282682,2.32145,1.965368,2.555783,2.081838,2.146811,2.117716,2.131201,1.552502,2.037925,2.386186,3.023701,1.797496,1.994092,2.22443,2.212519,2.290181,1.325626,2.67625,2.333891,2.549488,2.580634,2.857809,2.913271,2.487878,2.914995,2.655819,2.949005,2.499224,2.450135,2.2047,2.181052,1.958485,2.185548,1.969939,1.997523,1.952591,1.925526,1.797895,1.884936,1.782559,2.027204,1.859816,2.037147,1.991348,1.860221,1.676211,1.560135,1.365259,1.504187,1.324781,1.323251,1.212247,1.267425,1.171362,1.13919,1.090172,1.119659,0.948094,0.976801,0.905459,0.933793,0.86825,0.809029,0.860581,0.828152,0.874022,0.859515,0.794027,0.805144,0.783767,0.826128,0.814222,0.845403,0.866883,0.870889,0.89019,0.900212,0.91308,0.903853,0.931652,0.962348,0.973884,0.966226,0.99768,0.95227,0.99068,0.997231,0.960812,0.964047,0.98414,0.98088,0.940605,0.968425,1.025584,1.024087,1.023594,1.125723,1.083056,1.046911,1.096209,1.132419,1.10495,1.170737,1.176513,1.198839,1.205707,1.220468,1.211356,1.245891,1.243779,1.247445,1.237983,1.25424,1.267318,1.240568,1.22454,1.276678,1.254338,1.239348,1.204474,1.180471,1.186206],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,5.0,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,0.0,1.06383,0.0,0.980392,0.0,0.0,0.689655,0.0,0.0,0.961538,0.0,0.0,1.570681,0.0,1.142857,0.0,1.470588,0.904977,2.162162,0.655738,0.45045,0.0,0.0,0.271003,1.271186,0.493827,0.271003,0.542005,0.460829,0.21978,0.207469,0.693481,0.534759,0.636943,1.056338,0.389105,0.413907,0.852459,0.88968,0.663625,2.10035,0.296956,0.592651,0.77821,0.60241,0.788813,0.511019,0.90812,0.881057,1.117754,0.463392,0.88082,0.717664,0.476053,0.666963,0.82177,1.033719,0.759551,0.702576,0.513656,0.845045,0.803859,0.832871,0.894279,0.896818,0.9449,0.933238,1.184116,1.168395,0.986442,0.859666,1.03667,1.108669,1.704696,1.184233,1.003562,1.08414,0.986607,1.221885,0.631086,1.61409,1.546176,1.746199,1.584874,1.861152,1.87845,1.658944,1.773547,1.975523,1.931214,1.913388,1.927227,1.938478,1.944951,1.831208,2.032364,1.892123,2.051684,2.099644,2.165783,1.976418,2.205296,1.99772,1.995553,1.95259,2.00088,2.031047,2.259076,2.363427,2.412264,2.55797,2.53843,2.447754,2.50125,2.619779,2.921251,2.382376,2.60612,2.48112,2.540433,2.263369,2.076315,1.908831,1.842213,2.034917,1.856382,1.774424,1.772333,1.66077,1.448606,1.480131,1.488401,1.53704,1.447416,1.405935,1.534478,1.446247,1.477636,1.431263,1.506922,1.51177,1.497855,1.576438,1.599639,1.624683,1.606084,1.612901,1.56891,1.570486,1.505613,1.57663,1.518916,1.555643,1.524884,1.543573,1.547152,1.548738,1.610906,1.576484,1.858554,1.607646,1.426581,1.485551,1.51465,1.477288,1.516746,1.480261,1.54061,1.444269,1.463583,1.425567,1.424418,1.387903,1.370523,1.398072,1.365074,1.37017,1.300755,1.242215,1.330807,1.343303,1.356159,1.316397,1.30311,1.320054],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.255639,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.921569,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,4.545455,3.333333,0.0,0.0,0.0,0.0,0.0,1.342282,0.0,0.0,3.030303,0.0,0.917431,0.0,0.0,0.0,0.0,0.680272,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.367647,1.357466,0.540541,0.327869,0.0,0.0,0.829876,0.542005,0.0,0.246914,0.271003,0.0,0.460829,0.14652,1.244813,0.693481,0.623886,0.509554,3.433099,0.583658,0.57947,0.590164,0.415184,0.456242,0.50564,0.371195,0.434611,0.432339,0.414157,0.179276,0.319387,0.186966,0.544182,0.467897,0.55607,1.006651,0.358832,0.461627,0.281607,0.431093,0.455329,0.317424,0.52161,0.375846,0.498132,0.52825,0.5244,0.581894,0.634451,0.55214,0.508035,0.702768,0.516041,0.552082,0.54367,0.627797,0.669024,0.656558,0.642869,0.56912,0.626296,0.709518,0.709922,0.314966,0.802139,0.758462,0.791814,0.921034,0.900257,0.946395,0.850437,0.978109,1.028614,0.925559,0.937486,0.933557,0.899046,0.838275,0.838023,0.903973,0.856573,0.795792,0.872996,0.865503,0.824462,0.975036,0.930465,1.27067,1.687273,1.494679,1.429731,1.278517,1.198522,1.160246,1.186309,1.161099,1.123194,1.1089,1.135931,1.136645,1.175839,1.115567,1.178095,1.259357,1.172715,1.054865,1.040078,1.086179,0.961952,1.089177,1.058226,1.037006,1.02334,0.97869,0.99508,1.009169,1.010106,1.05805,1.076887,1.081691,1.094605,1.094206,1.105521,1.186013,1.208061,1.287643,1.363931,1.450926,1.559713,1.531984,1.596459,1.567551,1.554156,1.509181,1.447622,1.411774,1.353854,1.350573,1.288672,1.238707,1.186305,1.20484,1.158068,1.09148,1.023279,0.977193,0.941441,0.935435,0.916681,0.925178,0.91277,0.906008,0.880464,0.883591,0.863703,0.842584,0.835454,0.808215,0.818382,0.810188,0.784424,0.750308,0.725689,0.752245,0.785783,0.778612,0.762518,0.761389,0.786893],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.657895,0.0,0.0,1.714286,0.0,0.0,0.0,0.0,0.0,0.45045,0.854701,0.0,0.542005,0.0,0.0,1.084011,0.271003,0.0,0.07326,0.829876,0.277393,0.178253,0.382166,0.088028,0.389105,0.0,0.196721,0.355872,0.165906,0.038895,0.074239,0.316081,0.086468,0.150602,0.107565,0.351325,0.133547,0.103654,0.077983,0.231696,0.179759,0.146795,0.072129,0.059286,0.229018,0.135368,0.147376,0.095806,0.144074,0.213485,0.126321,0.240607,0.245008,0.262367,0.153689,0.115964,0.077016,0.150918,0.133961,0.100098,0.186729,0.226194,0.141322,0.105735,0.156399,0.138217,0.159537,0.167241,0.09922,0.240396,0.236105,0.29454,0.22939,0.20524,0.198361,0.22793,0.192336,0.19351,0.165047,0.1906,0.143401,0.171663,0.153043,0.148013,0.218114,0.197533,0.157121,0.146535,0.149943,0.164048,0.164832,0.179538,0.239312,0.168207,0.165904,0.140112,0.152531,0.137209,0.135924,0.133267,0.123449,0.134907,0.11641,0.120379,0.114665,0.116401,0.113279,0.108086,0.113068,0.0919,0.098737,0.091268,0.081715,0.086721,0.082692,0.075256,0.077031,0.075606,0.085266,0.065456,0.071475,0.074106,0.065939,0.065235,0.065896,0.071337,0.065548,0.06511,0.063537,0.06843,0.071958,0.076942,0.080467,0.08171,0.084054,0.085262,0.087866,0.091717,0.094236,0.09997,0.100431,0.098329,0.103739,0.105214,0.111189,0.110541,0.118282,0.118106,0.142599,0.128871,0.119901,0.125246,0.134777,0.130669,0.141171,0.143977,0.147142,0.149662,0.15062,0.153492,0.151692,0.161418,0.161897,0.159579,0.165051,0.164659,0.168138,0.165531,0.170703,0.182023,0.196407,0.20031,0.219268,0.239547],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,5.263158,0.0,0.0,0.0,0.0,0.0,0.0,1.818182,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.877193,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.540541,0.0,0.900901,0.0,0.0,0.0,0.0,0.493827,0.271003,0.0,0.0,0.29304,0.0,0.277393,0.089127,0.509554,0.088028,0.194553,0.165563,0.590164,0.118624,0.290336,0.194477,0.074239,0.11853,0.129702,0.0,0.07171,0.095816,0.267094,0.155481,0.259943,0.162187,0.413446,0.195727,0.086555,0.10375,0.229018,0.221511,0.181385,0.287418,0.156602,0.124533,0.114837,0.117219,0.116379,0.109717,0.250455,0.198796,0.163658,0.136313,0.150199,0.141315,0.228582,0.293096,0.468129,0.274911,0.234599,0.233241,0.314875,0.290112,0.164982,0.279645,0.311325,0.265851,0.262408,0.275208,0.30949,0.259109,0.324747,0.267474,0.472488,0.313234,0.367194,0.373875,0.313007,0.29531,0.344191,0.354362,0.351778,0.322584,0.3682,0.451735,0.404105,0.373326,0.408374,0.354622,0.438295,0.483972,0.415909,0.451889,0.429534,0.36372,0.374802,0.317947,0.327648,0.308437,0.258167,0.313546,0.265408,0.264663,0.286818,0.285747,0.290831,0.269321,0.254773,0.218101,0.238084,0.247455,0.263648,0.26539,0.287067,0.251182,0.263701,0.273552,0.318146,0.339185,0.337139,0.345257,0.40087,0.374532,0.383441,0.418481,0.403128,0.408141,0.440429,0.427727,0.412348,0.44157,0.393614,0.407432,0.395611,0.395429,0.386254,0.380634,0.370865,0.355469,0.354561,0.380653,0.390246,0.364557,0.394655,0.354285,0.340129,0.343393,0.340358,0.323005,0.337127,0.325624,0.322618,0.336686,0.306225,0.306337,0.306052,0.301624,0.290788,0.283939,0.270874,0.278101,0.272912,0.26578,0.262724,0.25952,0.26774,0.261012,0.257191,0.257734],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.007519,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.980198,0.0,0.0,1.025641,0.689655,0.0,0.877193,0.961538,0.0,0.0,0.0,0.729927,1.142857,0.0,0.0,0.0,0.540541,0.983607,0.45045,0.0,0.414938,0.0,0.423729,0.987654,0.542005,0.542005,0.230415,0.14652,0.622407,0.832178,0.356506,0.509554,1.056338,0.972763,0.57947,1.114754,0.59312,0.497719,0.311163,0.74239,0.474121,0.77821,0.188253,0.681248,0.830406,0.90812,0.906971,1.013777,0.625579,0.970699,0.554559,0.490479,0.578035,0.916072,0.812208,0.816234,0.883543,0.751691,0.889521,0.981856,0.765007,0.894279,0.806182,0.620446,0.933238,0.808664,0.642617,0.820005,0.618253,0.933647,1.057695,0.912704,0.554052,0.564775,0.799067,0.705319,0.59729,0.348424,1.121032,0.898454,1.046189,1.120881,1.089948,1.073059,1.012783,1.329918,1.207503,1.139958,1.199007,0.981358,0.965966,0.942098,0.870914,1.014291,0.96372,0.818314,0.940827,0.882292,0.835319,0.837454,0.892704,0.854575,0.8367,0.819489,0.861692,0.938874,0.881887,0.926241,0.940143,0.971339,1.021185,0.944765,0.898875,1.000098,0.900986,0.882179,0.910114,0.932595,0.797789,0.794524,0.785789,0.705886,0.758161,0.646039,0.618638,0.60704,0.570895,0.574831,0.52209,0.545571,0.530235,0.545404,0.546464,0.539916,0.54188,0.514402,0.524657,0.510321,0.542386,0.513523,0.56343,0.524164,0.546019,0.525674,0.526866,0.524104,0.534898,0.531535,0.513534,0.508324,0.524554,0.533189,0.537756,0.525373,0.555819,0.569209,0.586979,0.712513,0.621198,0.583484,0.618871,0.661764,0.636843,0.644437,0.640216,0.632472,0.631782,0.615244,0.603812,0.586516,0.569925,0.5538,0.550769,0.544912,0.524051,0.491446,0.467387,0.474432,0.460288,0.452219,0.436467,0.446938,0.442787],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.557377,0.0,0.0,0.0,0.0,0.0,0.0,4.166667,16.666667,10.526316,0.0,0.0,20.0,2.857143,0.0,3.921569,5.882353,8.695652,8.333333,0.0,0.0,0.0,0.0,6.451613,9.090909,2.222222,9.090909,16.666667,39.393939,0.0,0.0,3.030303,0.0,1.342282,0.0,2.222222,0.0,0.0,3.669725,5.454545,3.191489,0.990099,3.921569,2.040816,2.051282,1.37931,2.702703,5.263158,0.0,3.738318,2.631579,2.617801,5.109489,7.428571,2.222222,4.411765,3.167421,4.864865,2.95082,4.054054,3.846154,2.489627,2.439024,9.745763,3.209877,4.065041,5.420054,3.686636,1.831502,2.282158,6.65742,5.97148,6.242038,5.633803,6.51751,7.698675,5.508197,6.642942,3.649938,4.356282,4.491463,4.899249,5.750108,4.96988,4.374328,4.790802,4.647436,4.975382,4.938913,5.166821,5.985979,4.224433,4.587421,5.306062,5.523373,6.497662,5.532253,5.971897,3.677023,5.586195,7.694074,6.792523,6.498836,5.600343,5.48725,5.174223,6.166065,5.486588,5.756272,5.707556,5.766073,6.349358,6.226998,4.161732,5.187245,4.323601,4.542592,5.546264,2.714708,5.77442,5.465942,6.927417,6.588002,6.186737,6.573381,6.369139,6.965641,7.045488,6.389916,6.432381,5.738227,5.94709,5.982512,5.219051,5.986144,5.548273,5.212327,5.184127,4.840446,4.596966,5.133727,4.546167,4.60251,4.441882,4.084326,4.252996,4.462256,5.077497,4.805606,4.50198,4.788552,4.689504,4.379367,4.274943,4.299609,4.023817,3.919071,3.886233,3.864074,3.246214,3.161292,2.873586,2.828915,3.087975,2.662898,2.542596,2.540605,2.397451,2.241771,2.150696,2.189014,2.130485,2.214685,2.098257,2.322497,2.193668,2.192891,2.113863,2.192238,2.219933,2.165588,2.25382,2.321505,2.291683,2.237659,2.287532,2.265867,2.313266,2.228174,2.239236,2.210227,2.29821,2.266983,2.263038,2.335918,2.400905,2.408183,2.433473,2.936413,2.465792,2.23743,2.278758,2.350545,2.290348,2.328279,2.313472,2.322287,2.235346,2.194744,2.118219,2.10361,2.07281,2.045587,2.068124,2.023573,2.015951,1.885058,1.802865,1.81648,1.789274,1.766574,1.710513,1.695376,1.676797],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.026709,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.012306,0.022673,0.010645,0.050113,0.008895,0.0,0.018508,0.036751,0.014311,0.022769,0.005522,0.019254,0.02921,0.048713,0.017664,0.032195,0.073274,0.03533,0.033835,0.013033,0.038874,0.033587,0.037544,0.010383,0.041701,0.029252,0.063116,0.067774,0.091736,0.080061,0.070959,0.070555,0.081704,0.038835,0.041371,0.034764,0.04437,0.057679,0.030747,0.026476,0.034119,0.02145,0.022783,0.019684,0.024125,0.013293,0.023511,0.016211,0.022543,0.026236,0.016346,0.014211,0.0215,0.023653,0.02095,0.024899,0.026054,0.02241,0.034016,0.04071,0.035816,0.038566,0.045557,0.050531,0.045217,0.073251,0.061039,0.067238,0.05366,0.059955,0.048008,0.048253,0.0572,0.05484,0.055877,0.056296,0.048533,0.050711,0.0412,0.049386,0.04342,0.041389,0.041983,0.035637,0.044943,0.03878,0.040614,0.04513,0.040373,0.039237,0.042637,0.045181,0.053258,0.047531,0.055103,0.046641,0.047493,0.048603,0.047028,0.058775,0.061308,0.068855,0.067931,0.075869,0.079643,0.065504,0.06708,0.077736,0.075428,0.071412,0.071958,0.069075,0.067297,0.066321,0.062112,0.058283,0.053388,0.058814,0.055884,0.055522,0.050214,0.04721,0.045964,0.040499,0.040024,0.03798,0.036052,0.036307,0.034609],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.06383,0.0,1.960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.729927,0.0,0.0,0.367647,0.452489,0.0,0.0,0.45045,0.0,0.0,0.813008,0.0,0.0,0.271003,0.0,0.230415,0.0,0.0,0.554785,0.089127,0.127389,0.088028,0.194553,0.413907,0.131148,0.118624,0.207383,0.233372,0.334076,0.19755,0.302637,0.188253,0.466117,0.127755,0.320513,0.181394,0.467897,0.254866,0.215711,0.228348,0.375072,0.251964,0.229018,0.307654,0.226732,0.319353,0.206715,0.346913,0.338769,0.185082,0.269509,0.286219,0.227687,0.353415,0.231047,0.189864,0.308517,0.202159,0.263997,0.283539,0.338584,0.363729,0.347554,0.444886,0.373651,0.436875,0.149984,0.463622,0.374008,0.351917,0.47442,0.429138,0.405086,0.350496,0.560576,0.38788,0.424754,0.39302,0.380955,0.342598,0.479124,0.403996,0.390209,0.402847,0.329792,0.358829,0.35199,0.343174,0.331658,0.359077,0.386759,0.367628,0.39817,0.388812,0.423014,0.352208,0.321047,0.304652,0.329721,0.280412,0.313953,0.275302,0.281575,0.261262,0.321478,0.277041,0.240325,0.247752,0.296117,0.201056,0.210072,0.204369,0.226655,0.180183,0.233563,0.172612,0.168553,0.156705,0.164923,0.169882,0.162697,0.16297,0.152829,0.163599,0.169178,0.146922,0.153634,0.1583,0.148951,0.156425,0.140889,0.140449,0.139035,0.140163,0.129957,0.127485,0.136341,0.124613,0.127252,0.129979,0.125961,0.14403,0.140516,0.138949,0.151015,0.140057,0.175982,0.144031,0.132955,0.133649,0.142988,0.12673,0.14757,0.139638,0.139907,0.137209,0.128263,0.129677,0.137798,0.127059,0.123993,0.125384,0.117855,0.119325,0.113213,0.108743,0.107337,0.10456,0.109846,0.109453,0.106285,0.107705],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.689655,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03951,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.046339,0.0,0.0,0.014426,0.0,0.0,0.0,0.0,0.010645,0.0,0.0,0.011484,0.0,0.006125,0.00477,0.0,0.005522,0.004813,0.009737,0.012178,0.011776,0.003219,0.006372,0.005888,0.004229,0.013033,0.012958,0.004198,0.006826,0.013845,0.017171,0.010447,0.005738,0.013902,0.001555,0.016729,0.025803,0.017397,0.012041,0.034789,0.016991,0.037661,0.028368,0.029224,0.044332,0.038454,0.032922,0.031102,0.035728,0.060788,0.066946,0.061812,0.039897,0.055582,0.052023,0.057873,0.042034,0.043107,0.042609,0.07222,0.095149,0.077319,0.100242,0.080304,0.079136,0.067849,0.066994,0.071297,0.067506,0.069413,0.069082,0.078065,0.080306,0.085372,0.120186,0.102617,0.091431,0.112106,0.106033,0.100296,0.116367,0.122993,0.119908,0.102996,0.13755,0.126583,0.128715,0.134907,0.143071,0.12977,0.143346,0.146776,0.142787,0.152178,0.16188,0.165452,0.171841,0.173195,0.173682,0.171701,0.161429,0.155238,0.166773,0.15779,0.1539,0.146613,0.157116,0.16922,0.165355,0.156815,0.172307,0.15674,0.161273,0.153849,0.148583,0.152562,0.146739,0.140723,0.142636,0.13693,0.13895,0.131013,0.127884,0.127967,0.121309,0.123933,0.113352,0.109405,0.099255,0.098487,0.089827,0.087407,0.081902,0.078812,0.077944],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025913,0.0,0.0,0.0,0.032621,0.014426,0.0,0.026943,0.0,0.0,0.0,0.006264,0.080057,0.086128,0.012339,0.024501,0.047703,0.034153,0.011044,0.057762,0.019473,0.008119,0.056919,0.009658,0.012743,0.020609,0.004229,0.026067,0.025916,0.012595,0.020479,0.013845,0.019624,0.020894,0.028689,0.034756,0.020213,0.023899,0.015052,0.02223,0.018921,0.012945,0.01773,0.017382,0.010183,0.014612,0.021451,0.017651,0.01257,0.01287,0.013463,0.009263,0.013872,0.024592,0.019949,0.018527,0.021676,0.008488,0.01693,0.016106,0.0387,0.036583,0.035208,0.030928,0.028483,0.034653,0.035955,0.027988,0.032138,0.029174,0.037134,0.02794,0.037995,0.033227,0.036291,0.034328,0.030523,0.037337,0.035954,0.032169,0.039586,0.033432,0.036152,0.028376,0.031395,0.038097,0.035635,0.033193,0.033069,0.03312,0.034395,0.032024,0.031371,0.03796,0.033433,0.031176,0.032841,0.032288,0.033291,0.033757,0.032344,0.03292,0.033112,0.02907,0.028372,0.027213,0.025888,0.028066,0.025782,0.024642,0.028862,0.025115,0.026187,0.025792,0.027443,0.024385,0.025038,0.026711,0.029746,0.030052,0.032003,0.033714,0.033209,0.03771,0.038825,0.040737,0.048685,0.050412,0.050649,0.05304,0.052101,0.057031,0.063312,0.067209,0.066719,0.071108,0.079935],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.545455,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.52356,0.0,0.571429,0.0,0.0,0.452489,0.540541,0.0,0.0,0.42735,0.0,0.813008,0.423729,0.246914,1.084011,1.355014,0.0,0.21978,0.207469,0.416089,0.445633,0.89172,0.352113,0.875486,0.57947,0.327869,0.177936,0.041477,0.311163,1.150705,0.632161,0.172936,0.112952,0.322696,0.383264,0.320513,0.07774,0.493891,0.625579,0.359518,0.309901,0.216388,0.385356,0.498451,0.615309,0.49881,0.393868,0.313205,0.773884,0.602894,0.598433,0.404263,0.367314,0.42122,0.524601,0.394705,0.418675,0.474953,0.431796,0.460384,0.576635,0.553511,0.338352,0.669042,0.885453,0.600361,0.798662,0.466104,0.721189,0.608023,0.686621,0.651675,0.572184,0.857969,0.680565,0.691055,0.77576,0.699023,0.688524,0.796674,0.616821,0.669082,0.627087,0.86552,0.682984,0.66602,0.802059,0.62293,0.615784,0.663981,0.599174,0.569717,0.555777,0.584136,0.571542,0.555177,0.537107,0.632632,0.568276,0.604401,0.654221,0.599478,0.661466,0.687652,0.800574,0.823263,0.838908,0.854778,0.997812,0.958582,1.065242,1.125208,1.010419,1.184554,1.193698,1.188984,1.245357,1.173819,1.416591,1.55006,1.629484,1.676333,1.804164,1.848208,2.061682,2.068515,2.194455,2.326872,2.411213,2.387406,2.373136,2.41842,2.440514,2.560837,2.495856,2.478808,2.525435,2.467858,2.436549,2.496829,2.415241,2.275854,2.479589,2.198336,2.239078,2.166582,2.111238,1.908977,1.807784,1.65225,1.624119,1.545154,1.386736,1.367697,1.313251,1.23788,1.142891,1.104698,1.059027,1.011879,0.949276,0.919668,0.854003,0.816748,0.789906,0.755672,0.68752,0.674972,0.626316,0.598764,0.558938,0.561213,0.560525],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.342282,0.0,0.0,0.0,0.0,0.0,1.818182,1.06383,0.0,0.980392,0.0,9.230769,0.0,0.45045,0.877193,0.0,0.0,1.973684,0.0,1.459854,0.571429,0.0,0.0,0.452489,0.0,0.983607,0.0,0.854701,0.0,0.0,0.0,0.246914,0.0,0.0,0.921659,0.07326,0.207469,0.138696,0.356506,0.382166,0.352113,0.291829,0.082781,0.131148,0.059312,0.165906,0.544535,0.074239,0.19755,0.99438,0.112952,0.107565,0.095816,0.133547,0.362788,0.519886,0.254866,0.39547,0.309901,0.274091,0.355714,0.215546,0.25843,0.4648,0.372578,0.231771,0.533713,0.631603,0.382504,0.238883,0.682154,0.324454,0.519079,0.365824,0.34565,0.349111,0.221786,0.309069,0.522476,0.362137,0.28337,0.495265,0.66085,0.382048,0.314004,3.914578,0.488152,0.419975,0.403557,0.356249,0.471119,0.432569,0.365548,0.446528,0.442063,0.431226,0.459509,0.529426,0.501167,0.626783,0.603491,0.631647,0.778757,0.682643,0.661737,0.566195,0.73701,0.607487,0.56925,0.762711,0.601731,0.631979,0.556947,0.540492,0.630143,0.589742,0.638983,0.65053,0.703238,0.676877,0.631856,0.633882,0.68945,0.71838,0.727504,0.666404,0.785752,0.761768,0.752986,0.891704,0.789549,0.987996,0.969989,1.021842,0.983049,0.959261,1.026513,1.124881,1.186021,1.120505,1.125428,1.167522,1.214179,1.322547,1.714717,1.570018,1.516322,1.357232,1.398046,1.380961,1.404463,1.47292,1.438801,1.353644,1.355756,1.471226,1.293963,1.697805,1.336622,1.417102,1.386552,1.37128,1.291792,1.302181,1.304089,1.270989,1.36572,1.351701,1.414412,1.349389,1.403984,1.405309,1.405289,1.451618,1.433652,1.447265,1.460523,1.434852,1.488816,1.454902,1.462865,1.41256,1.456719,1.440397,1.463945,1.388141,1.338761,1.292683,1.279167,1.285059,1.283045],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.960784,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03712,0.11853,0.043234,0.037651,0.0,0.0,0.026709,0.025913,0.0,0.092678,0.0,0.032621,0.028852,0.029643,0.013472,0.012306,0.045346,0.010645,0.006264,0.035581,0.017226,0.0,0.0,0.00477,0.022769,0.011044,0.024067,0.014605,0.008119,0.009814,0.012878,0.025487,0.017665,0.021147,0.021722,0.012958,0.029388,0.023892,0.025382,0.036795,0.048057,0.017213,0.034756,0.046645,0.045408,0.036555,0.037694,0.038702,0.040453,0.042109,0.058664,0.04728,0.046913,0.036467,0.071234,0.046091,0.040755,0.061099,0.053262,0.050662,0.056495,0.073383,0.069478,0.058092,0.052472,0.047288,0.05116,0.0559,0.067805,0.062851,0.068932,0.068889,0.073249,0.071557,0.087695,0.084263,0.074713,0.074269,0.07858,0.087399,0.082407,0.082632,0.092014,0.085394,0.109438,0.091379,0.098105,0.095509,0.084203,0.095471,0.107457,0.115075,0.102967,0.114194,0.10633,0.119977,0.12109,0.115254,0.125346,0.126783,0.13091,0.130583,0.133223,0.127625,0.144766,0.133362,0.134284,0.12343,0.131263,0.128647,0.126339,0.126834,0.120656,0.151068,0.118271,0.134468,0.126041,0.126803,0.12354,0.128583,0.133301,0.13841,0.138682,0.130994,0.144194,0.140375,0.13972,0.135093,0.136957,0.132515,0.127996,0.124673,0.117152,0.111944,0.110819,0.108042,0.095887,0.091049,0.086685,0.079814,0.075268,0.07113,0.067226,0.067176],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.138696,0.0,0.0,0.0,0.0,0.165563,0.065574,0.0,0.0,0.116686,0.03712,0.07902,0.0,0.0,0.035855,0.031939,0.080128,0.025913,0.051989,0.393883,0.017976,0.032621,0.028852,0.074107,0.013472,0.049225,0.090693,0.095806,0.062641,0.044476,0.109095,0.086372,0.067377,0.071555,0.085383,0.099398,0.067389,0.082761,0.117723,0.125613,0.148096,0.159291,0.141322,0.177635,0.108611,0.172771,0.167933,0.252568,0.109604,0.191336,0.171333,0.315578,0.227652,0.211459,0.175657,0.203202,0.218431,0.263174,0.234626,0.229016,0.223069,0.210941,0.191496,0.214511,0.192898,0.250807,0.209137,0.226275,0.225783,0.232804,0.250572,0.206612,0.209205,0.157803,0.168991,0.1658,0.17669,0.189199,0.194268,0.162947,0.18976,0.215719,0.200864,0.206212,0.177595,0.206739,0.203645,0.192053,0.19405,0.209025,0.18964,0.205873,0.221863,0.289301,0.238802,0.221958,0.236954,0.221004,0.210672,0.230215,0.244264,0.247739,0.235491,0.263526,0.273541,0.285369,0.303206,0.3164,0.314035,0.378869,0.325911,0.351278,0.317444,0.319757,0.395398,0.316468,0.304822,0.301102,0.28817,0.284291,0.314188,0.27442,0.261535,0.26879,0.269078,0.290413,0.337235,0.335534,0.336991,0.355644,0.326191,0.339738,0.336598,0.323869,0.32983,0.312625,0.285588,0.284997,0.282773,0.262932,0.260617,0.252904,0.244893,0.22102,0.217811,0.213893,0.200117,0.186154,0.182584,0.17632,0.171698,0.158825,0.153289,0.156801],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.917431,1.818182,1.06383,1.980198,0.0,0.0,1.025641,0.0,0.45045,0.0,0.0,0.0,0.0,0.0,0.729927,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.42735,0.414938,1.355014,0.423729,0.740741,0.813008,0.271003,0.691244,0.07326,1.452282,0.554785,0.891266,0.89172,0.264085,1.167315,0.57947,0.327869,0.652432,0.373289,0.466744,0.334076,0.908732,0.648508,0.489458,0.824668,0.511019,0.320513,1.554807,0.571874,0.486562,0.611181,0.799217,0.634737,0.666963,0.727469,1.070637,0.838907,1.202895,0.845653,0.684932,1.073725,0.740329,0.790151,0.667843,0.68306,0.629521,0.731649,0.769193,1.059511,0.559372,0.820965,1.051324,0.783159,0.558281,0.781997,0.704043,0.810278,0.754292,0.40611,0.870824,0.825324,1.011762,0.952315,0.853611,0.922496,0.802056,0.983908,0.940029,0.813909,0.954478,0.838681,0.713564,0.824431,0.739348,1.107588,0.858369,0.625265,0.758564,0.707454,0.601309,0.707183,0.713879,0.738007,0.664158,0.625034,0.567455,0.544281,0.550007,0.539282,0.516191,0.512928,0.589307,0.485559,0.462656,0.455438,0.511172,0.475884,0.434895,0.455329,0.427888,0.419586,0.36715,0.401561,0.349712,0.399578,0.416666,0.409861,0.401498,0.367678,0.416225,0.468473,0.433589,0.455642,0.428926,0.409713,0.447512,0.437423,0.446315,0.451472,0.471486,0.403172,0.392857,0.41197,0.3686,0.365269,0.358875,0.356747,0.343356,0.325205,0.321741,0.826268,0.305974,0.302829,0.310551,0.394627,0.307339,0.306916,0.290992,0.29281,0.278782,0.294218,0.277725,0.267374,0.255195,0.251229,0.252402,0.247889,0.247165,0.246229,0.250996,0.253449,0.257066,0.263434,0.266062,0.271945,0.276865,0.282366,0.292829,0.299708,0.319812,0.335438,0.338679,0.361704,0.398209],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.246914,0.271003,0.0,0.0,0.0,0.0,0.0,0.178253,0.0,0.0,0.0,0.0,0.0,0.0,0.041477,0.038895,0.0,0.03951,0.043234,0.037651,0.07171,0.0,0.053419,0.103654,0.077983,0.046339,0.053928,0.032621,0.043278,0.014821,0.053887,0.036919,0.03401,0.04258,0.100226,0.035581,0.034451,0.024678,0.030626,0.023852,0.045537,0.071788,0.01444,0.053551,0.064951,0.035329,0.045073,0.025487,0.020609,0.046523,0.052133,0.090705,0.083967,0.139937,0.107296,0.08095,0.133723,0.066941,0.072988,0.085517,0.071697,0.11289,0.064756,0.082564,0.063106,0.061317,0.101395,0.090923,0.113821,0.10511,0.117252,0.12271,0.142106,0.099416,0.079893,0.107355,0.115648,0.104018,0.108076,0.085838,0.069448,0.079981,0.07295,0.088345,0.095242,0.076527,0.079678,0.108411,0.093792,0.095704,0.093462,0.090338,0.100186,0.09877,0.107611,0.109589,0.119221,0.109124,0.119849,0.10455,0.118773,0.129394,0.122232,0.117922,0.119761,0.138541,0.127739,0.139327,0.151824,0.149959,0.135927,0.151971,0.157999,0.15289,0.162464,0.162363,0.160318,0.172858,0.170884,0.1558,0.176265,0.167651,0.167005,0.161258,0.171162,0.171955,0.190328,0.172527,0.175334,0.171192,0.177722,0.182893,0.183933,0.182026,0.188001,0.170525,0.173717,0.182858,0.181706,0.172912,0.188625,0.187791,0.18664,0.174932,0.179845,0.166441,0.16503,0.157857,0.16505,0.15911,0.152091,0.148949,0.144271,0.141976,0.152341,0.145968,0.137073,0.127938,0.131061,0.122387],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.729927,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.0,0.0,0.131148,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.035855,0.0,0.0,0.0,0.025994,0.069509,0.0,0.0,0.014426,0.029643,0.026943,0.012306,0.0,0.04258,0.006264,0.01779,0.040193,0.006169,0.024501,0.028622,0.017077,0.0,0.01444,0.009737,0.016238,0.005888,0.016097,0.009557,0.005888,0.004229,0.0,0.012958,0.008397,0.017065,0.005769,0.002453,0.014626,0.0,0.005213,0.00311,0.00956,0.003225,0.006766,0.011181,0.012136,0.013298,0.013036,0.006546,0.006152,0.007865,0.011977,0.005986,0.009116,0.009838,0.016789,0.013269,0.009305,0.009262,0.014668,0.015607,0.014661,0.011092,0.013264,0.011727,0.011353,0.011348,0.013367,0.010377,0.008093,0.008812,0.008142,0.008154,0.009392,0.008167,0.007967,0.00785,0.007929,0.01063,0.010373,0.007962,0.009334,0.011332,0.014776,0.008807,0.009421,0.010253,0.010759,0.010055,0.01135,0.010398,0.013527,0.012099,0.015408,0.014814,0.015792,0.018075,0.015092,0.016348,0.018981,0.02212,0.020651,0.023704,0.024135,0.024077,0.027372,0.026861,0.026568,0.026645,0.026354,0.028462,0.029213,0.027948,0.027105,0.023792,0.02456,0.023533,0.020125,0.019138,0.019149,0.018596,0.019176,0.01885,0.019121,0.019653,0.019087,0.019097,0.019197,0.019079,0.018332,0.017981,0.015679,0.014499,0.013133,0.013601,0.013587,0.012653,0.011426,0.011697,0.010585,0.009357],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.008689,0.0,0.0,0.0,0.0,0.0,0.004179,0.0,0.0,0.0,0.0,0.0,0.000967,0.00258,0.000809,0.002216,0.000724,0.001455,0.000769,0.00143,0.001261,0.00419,0.000536,0.001553,0.004631,0.009047,0.003323,0.009262,0.009264,0.00867,0.00926,0.009341,0.007579,0.005473,0.007884,0.00582,0.005766,0.007065,0.004773,0.002644,0.005937,0.002558,0.0037,0.002042,0.002947,0.003454,0.004059,0.002907,0.002985,0.001846,0.003111,0.002627,0.003827,0.002598,0.002859,0.002554,0.00247,0.002041,0.002529,0.002534,0.002886,0.00242,0.002743,0.002688,0.00245,0.002503,0.002056,0.002072,0.002612,0.002277,0.002541,0.002534,0.002667,0.002394,0.0025,0.002282,0.002375,0.002212,0.002264,0.002442,0.002069,0.002118,0.001868,0.001912,0.001832,0.001815,0.001567,0.001768,0.001631,0.001519,0.001688,0.001975,0.00201,0.002161,0.002476,0.003055,0.003212,0.004464,0.004928,0.005905,0.006477,0.004796,0.004959,0.005157,0.005471,0.00523,0.005262,0.005528,0.00573,0.005525],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.278689,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,1.06383,7.920792,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.729927,1.142857,0.0,0.0,0.0,0.540541,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.622407,0.138696,0.26738,0.0,0.0,0.097276,0.165563,0.0,0.0,0.082953,0.038895,0.0,0.07902,0.172936,0.188253,0.07171,0.255509,0.240385,0.07774,0.129971,0.115848,0.071904,0.016311,0.115407,0.059286,0.053887,0.073837,0.056683,0.095806,0.187923,0.142323,0.333027,0.215929,0.581894,0.276678,0.278916,0.138053,0.240674,0.204469,0.418121,0.361138,0.260777,0.321769,0.300309,0.28337,0.386654,0.496717,0.45342,0.457353,0.220361,0.483246,0.65817,0.646457,0.526554,0.570629,0.518605,0.536496,0.618567,0.76716,0.74514,0.769049,0.849544,0.872861,1.085912,1.27777,1.386219,1.468326,1.836112,1.569943,1.824792,1.693556,1.776599,1.605158,1.570196,1.738429,1.373531,1.283196,1.196093,1.233313,1.135016,1.012596,1.026904,1.051214,1.145836,0.972547,0.907484,0.945436,0.939103,0.961796,0.934777,0.948409,0.974441,0.883286,0.88454,1.320723,0.83404,0.815201,0.769676,0.788685,0.762739,0.772883,0.768838,0.720017,0.732179,0.725997,0.756611,0.76949,0.802514,0.798997,0.794729,0.812694,0.770366,0.823816,0.792633,0.773657,0.805078,0.786964,0.752927,0.775375,0.712603,0.736092,0.676249,0.66693,0.661468,0.651409,0.615996,0.616132,0.621196,0.605397,0.62001,0.59453,0.548671,0.561264,0.565337,0.530677,0.540863,0.546169,0.518941,0.553436,0.51934,0.530271,0.539289,0.534752,0.53898,0.527505,0.525709,0.522068,0.520866,0.509563,0.539368,0.539438,0.550904,0.542821,0.54776,0.56242],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.00477,0.0,0.0,0.0,0.0,0.0,0.001963,0.038634,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.00215,0.0,0.0,0.0,0.0,0.000724,0.000727,0.0,0.000715,0.003152,0.0,0.0,0.0,0.001158,0.001206,0.000665,0.001425,0.0,0.0,0.001543,0.001751,0.000474,0.0,0.0,0.000291,0.0,0.003974,0.000415,0.000352,0.00017,0.00032,0.000427,0.0,0.000218,0.0,0.00085,0.000664,0.00097,0.000635,0.001257,0.001442,0.001647,0.001013,0.001723,0.001064,0.001203,0.001321,0.000955,0.001515,0.001761,0.001501,0.001549,0.001144,0.001657,0.002194,0.00219,0.00193,0.002625,0.002915,0.002924,0.0034,0.003895,0.004082,0.004688,0.004773,0.005493,0.006202,0.006532,0.00744,0.008601,0.008284,0.009207,0.008483,0.009621,0.009696,0.009342,0.009693,0.011161,0.011566,0.01415,0.015006,0.017203,0.017489,0.019274,0.019551,0.021829,0.022639,0.022598,0.024451,0.023252,0.023641,0.022032,0.022307,0.023456,0.023036,0.023634,0.023631,0.026175,0.027437],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.178253,0.0,0.176056,0.194553,0.165563,0.065574,0.0,0.041477,0.116686,0.0,0.11853,0.086468,0.075301,0.107565,0.063877,0.133547,0.155481,0.129971,0.185357,0.125831,0.326211,0.288517,0.548392,0.188603,0.172286,0.272078,0.340643,0.175395,0.266856,0.304318,0.20976,0.31851,0.143109,0.204918,0.292672,0.298436,0.282362,0.247625,0.414132,0.199607,0.235751,0.211983,0.334123,0.230255,0.254838,0.239305,0.197959,0.080761,0.245302,0.296699,0.246725,0.293688,0.270543,0.250938,0.268785,0.292853,0.271774,0.247571,0.251917,0.275939,0.368784,0.385299,0.39184,0.35869,0.323834,0.442941,0.314299,0.307992,0.339556,0.311054,0.409661,0.267875,0.24364,0.261588,0.304745,0.300326,0.333444,0.377182,0.350044,0.3921,0.420176,0.462318,0.405551,0.374528,0.424511,0.402737,0.4095,0.431646,0.465883,0.411563,0.439982,0.465814,0.444511,0.458097,0.427432,0.426527,0.402731,0.397994,0.414735,0.385589,0.367317,0.352196,0.33592,0.313412,0.305779,0.300568,0.265684,0.266167,0.256833,0.259957,0.245472,0.255053,0.238936,0.230039,0.201754,0.202021,0.194141,0.203353,0.201636,0.17278,0.181337,0.181137,0.209204,0.199032,0.179551,0.165206,0.158667,0.15121,0.154982,0.136278,0.142639,0.146184,0.148296,0.148736,0.148598,0.151348,0.157986,0.164394,0.172925,0.179637,0.185311,0.191745,0.192065,0.196547,0.199255,0.19217,0.185941,0.193775,0.192615,0.200282,0.201421,0.208259,0.217949],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.595745,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.081633,0.0,0.0,0.0,0.990099,0.980392,0.0,0.0,0.689655,0.900901,0.877193,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.735294,0.0,0.0,0.655738,0.0,0.42735,1.659751,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.414938,0.832178,1.158645,0.509554,0.352113,0.291829,0.496689,0.131148,0.237248,0.290336,0.622326,0.185598,0.316081,0.432339,0.338855,0.143421,0.223571,0.347222,0.310961,0.233949,0.278035,0.48535,0.260969,0.34622,0.414999,0.282904,0.307654,0.215395,0.383223,0.206715,0.444761,0.327285,0.246776,0.189881,0.209894,0.500911,0.281628,0.327316,0.501436,0.369408,0.804711,0.579505,0.235751,0.294421,0.207241,0.234599,0.263476,0.323271,0.406157,0.154599,0.34097,0.319682,0.323228,0.314542,0.318744,0.254523,0.245132,0.24936,0.277795,0.301777,0.286639,0.327361,0.282952,0.356074,0.343218,0.306998,0.351967,0.378591,0.317924,0.383832,0.337143,0.386824,0.42106,0.358196,0.394506,0.33258,0.366628,0.351486,0.364326,0.429218,0.341315,0.366153,0.455062,0.44053,0.393742,0.373171,0.377343,0.393344,0.409756,0.384716,0.353992,0.352283,0.387995,0.346264,0.378734,0.325981,0.337444,0.35313,0.347601,0.350595,0.365492,0.335176,0.350119,0.358658,0.378974,0.372215,0.398244,0.401498,0.388889,0.404555,0.385631,0.375134,0.39781,0.365265,0.345304,0.349096,0.324673,0.302115,0.308794,0.30805,0.295202,0.266789,0.257357,0.242082,0.252082,0.234863,0.250785,0.244015,0.233268,0.223835,0.221513,0.203254,0.209802,0.219238,0.210354,0.205716,0.207756,0.198198,0.203721,0.206631,0.194366,0.205641,0.193382,0.185841,0.18306,0.176288,0.17403,0.167186,0.162265,0.164263,0.167662,0.173199,0.166314,0.162656,0.161752],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.531915,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.040816,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.178253,0.0,0.176056,0.0,0.0,0.0,0.0,0.041477,0.0,0.0,0.0,0.0,0.0,0.035855,0.0,0.026709,0.0,0.051989,0.0,0.017976,0.032621,0.014426,0.059286,0.040415,0.012306,0.0,0.0,0.006264,0.01779,0.022967,0.030847,0.01225,0.014311,0.0,0.0,0.024067,0.014605,0.016238,0.029441,0.032195,0.028672,0.032386,0.029606,0.047789,0.051831,0.058777,0.054609,0.01846,0.04906,0.020894,0.040164,0.07125,0.024878,0.033458,0.036555,0.028995,0.039562,0.034789,0.032505,0.024624,0.026186,0.025379,0.029316,0.029628,0.031725,0.037001,0.041423,0.054998,0.053678,0.042537,0.056284,0.036283,0.049422,0.043984,0.053126,0.047844,0.057072,0.067174,0.060232,0.05373,0.050783,0.044198,0.043357,0.041388,0.052124,0.050947,0.039049,0.044747,0.043647,0.049841,0.053067,0.053507,0.048063,0.050381,0.054704,0.04617,0.048261,0.048828,0.06166,0.056134,0.06138,0.058999,0.064974,0.055158,0.070911,0.065904,0.061145,0.056134,0.061311,0.057209,0.056664,0.063927,0.059678,0.067731,0.056611,0.060922,0.063761,0.068192,0.064946,0.064034,0.062565,0.059111,0.075245,0.070493,0.067811,0.06077,0.05805,0.065299,0.062227,0.055587,0.0609,0.064887,0.064403,0.064041,0.064908,0.05869,0.061573,0.060705,0.063108,0.063582,0.061038,0.062897,0.060618,0.060705,0.060506,0.058495,0.054216,0.059549,0.051485,0.052344,0.050552,0.05113,0.050626],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.008639,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.001555,0.0,0.001075,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.00143,0.0,0.000599,0.0,0.000518,0.001158,0.000603,0.000665,0.000712,0.000772,0.000867,0.001543,0.000584,0.0,0.0,0.000631,0.000873,0.000524,0.001104,0.000415,0.001057,0.001357,0.000959,0.000712,0.001148,0.000546,0.000733,0.000661,0.000415,0.001493,0.000808,0.001556,0.0017,0.002374,0.00295,0.003079,0.003087,0.004095,0.003932,0.003989,0.003893,0.004672,0.004772,0.004899,0.006044,0.006627,0.006079,0.005602,0.006897,0.005251,0.00573,0.005905,0.008051,0.009692,0.010438,0.011937,0.013675,0.011996,0.015424,0.010357,0.010253,0.012589,0.0123,0.010466,0.010498,0.009069,0.01013,0.009562,0.010117,0.010508,0.010228,0.010528,0.010745,0.008561,0.008647,0.009533,0.009415,0.009435,0.010167,0.01088,0.012324,0.013607,0.014915,0.013727,0.014965,0.013121,0.013222,0.014842,0.015906,0.017146,0.016635],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,33.333333,0.0,0.0,1.010101,0.0,1.639344,0.0,0.531915,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,7.692308,0.0,3.333333,0.0,0.0,2.222222,0.0,0.0,9.090909,0.0,3.846154,0.0,0.0,1.342282,2.702703,0.0,0.0,0.0,0.0,0.0,0.0,1.980198,0.0,0.680272,1.538462,0.689655,12.162162,1.754386,1.923077,0.0,1.973684,0.52356,1.459854,3.428571,0.0,1.102941,2.262443,2.702703,0.983607,2.702703,0.42735,0.0,1.084011,1.694915,1.728395,0.813008,1.084011,1.612903,0.14652,0.829876,0.832178,1.247772,0.509554,1.672535,1.361868,0.57947,0.327869,0.59312,3.110742,1.205757,1.55902,1.975504,1.340251,1.317771,1.219075,1.245608,0.934829,1.477067,0.779828,1.621872,0.844868,0.782907,0.692441,0.489106,1.279806,1.107556,1.235688,0.798382,1.196442,1.058531,0.556959,0.635449,0.741149,0.586748,0.717213,0.806229,0.640193,0.86656,0.702281,0.490677,0.598822,0.694511,0.624172,0.845881,0.79503,0.673808,0.927831,0.651899,0.471872,0.902713,0.814877,0.776513,0.780272,0.771204,0.714576,0.767651,0.70072,0.731038,0.726531,0.729895,0.840853,0.855403,0.794438,0.772954,0.70225,0.838616,0.975434,0.882834,0.812241,0.668858,0.761684,0.517954,0.677021,0.621673,0.776276,0.799225,0.829923,0.81856,0.834784,0.934906,0.765067,0.724434,0.71236,0.789247,0.856767,0.883398,0.840909,0.877829,0.980943,1.060509,1.194853,1.214975,1.218863,1.114681,1.293334,1.476077,1.442313,1.44888,1.52632,1.722622,1.580743,1.609014,1.715694,1.590276,1.420175,1.360974,1.218038,1.337649,1.2842,1.238261,1.189584,1.222052,1.103776,1.176788,1.095191,1.139378,1.063859,1.017643,1.021973,1.05707,0.835362,0.902094,0.888733,0.911716,0.947384,1.18508,1.20087,1.272975,1.172478,1.448374,1.288645,1.366096,1.408377,1.36245,1.432242,1.349881,1.351677,1.356016,1.277578,1.299913,1.279093,1.234664,1.210534,1.205853,1.372631,1.222556,1.329927,1.249788,1.085861,1.065327,0.971279,0.998818,1.014624,1.030916],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.657895,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.421245,0.0,0.0,0.0,0.0,0.0,0.0,0.082781,0.0,0.0,0.041477,0.0,0.0,0.0,0.043234,0.037651,0.0,0.063877,0.0,0.0,0.0,0.0,0.017976,0.032621,0.0,0.014821,0.053887,0.036919,0.102029,0.063871,0.162866,0.01779,0.028709,0.055525,0.030626,0.042933,0.039845,0.088354,0.081829,0.08763,0.040594,0.02159,0.045073,0.086017,0.100103,0.105735,0.143366,0.107982,0.071372,0.04437,0.024228,0.076044,0.079398,0.107105,0.130335,0.132162,0.204335,0.145144,0.10535,0.110946,0.115695,0.138148,0.133262,0.170208,0.142276,0.110831,0.117252,0.123907,0.10296,0.122199,0.123891,0.152589,0.152869,0.086207,0.069478,0.09104,0.081023,0.113841,0.127899,0.179817,0.171246,0.190298,0.207583,0.210861,0.213936,0.228772,0.252569,0.23424,0.246196,0.258793,0.269028,0.332744,0.354359,0.419303,0.53156,0.440068,0.579742,0.61972,0.662027,0.651036,0.619883,0.665208,0.652638,0.701588,0.742742,0.660997,0.66327,0.677967,0.653475,0.618328,0.639157,0.653077,0.650257,0.645169,0.660814,0.695426,0.660614,0.872139,1.01278,1.151781,1.152402,1.196468,1.076392,1.118587,1.148959,0.986579,0.959406,0.934611,0.849707,0.836145,0.719794,0.749636,0.648368,0.622095,0.563589,0.611049,0.539697,0.490945,0.454134,0.408185,0.383061,0.360704,0.352148,0.343872,0.334361,0.339154,0.353091,0.340866,0.320031,0.316795,0.300753,0.290618,0.285381,0.291163,0.273961,0.279135],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02317,0.053928,0.0,0.0,0.0,0.0,0.012306,0.0,0.010645,0.093961,0.035581,0.0,0.006169,0.0,0.00477,0.005692,0.0,0.01444,0.009737,0.008119,0.003925,0.0,0.0,0.0,0.004229,0.004344,0.004319,0.004198,0.0,0.0,0.002453,0.006268,0.011476,0.003476,0.010884,0.003585,0.005376,0.009665,0.00258,0.005663,0.008865,0.006518,0.01382,0.00846,0.00286,0.011347,0.008979,0.009116,0.008802,0.013894,0.00965,0.00997,0.004275,0.003088,0.003468,0.006945,0.01226,0.008527,0.011727,0.010407,0.017168,0.010746,0.009273,0.012658,0.017096,0.02239,0.017748,0.0185,0.017483,0.017681,0.008688,0.019445,0.00955,0.011045,0.011078,0.023096,0.031421,0.027082,0.021048,0.033762,0.02824,0.026198,0.030795,0.048042,0.034067,0.030331,0.037035,0.039296,0.03144,0.040255,0.029274,0.030064,0.036229,0.037136,0.031828,0.040734,0.048692,0.041437,0.03819,0.036505,0.026652,0.028001,0.029732,0.029306,0.033253,0.044569,0.065678,0.073581,0.083325,0.060334,0.071318,0.058161,0.053527,0.052683,0.044255,0.04914,0.038444,0.039607,0.036584,0.034415,0.033907,0.032787,0.031618,0.031716,0.031119,0.035888,0.029948,0.032868,0.031757,0.02678,0.026332,0.026035,0.027232,0.029902,0.032611],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,1.06383,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.14652,0.0,0.138696,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.031939,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.013472,0.0,0.045346,0.02129,8.656978,0.008895,0.028709,0.018508,0.024501,0.028622,0.022769,0.011044,0.024067,0.009737,0.020297,0.02159,0.028975,0.073274,0.026498,0.084588,0.021722,0.038874,0.05038,0.030718,0.010383,0.08095,0.018805,0.022951,0.027805,0.029542,0.023899,0.045156,0.028029,0.033542,0.105986,0.038416,0.054319,0.098924,0.120742,0.180189,0.21307,0.292109,0.365721,0.327244,0.273835,0.298543,0.180119,0.139641,0.228504,0.150866,0.259273,0.32401,0.471805,0.55157,0.625694,0.668372,0.755894,0.72046,0.838108,0.825907,1.051664,1.141302,1.250761,1.048443,1.080369,1.482745,1.290475,1.259239,1.580575,1.450949,1.717624,1.797398,1.91467,1.740735,1.689814,1.794109,1.794064,1.701459,1.613119,1.481333,1.419196,1.438831,1.490972,1.340623,1.326094,1.356852,1.203632,1.300158,1.281315,1.26688,1.277361,1.256462,1.253449,1.201828,1.206496,1.066423,1.100503,1.088201,1.152989,1.161526,1.155865,1.12759,1.133224,1.106575,0.990958,1.102127,1.06954,1.038306,1.051004,1.000414,0.954697,0.903,0.882303,0.839107,0.78819,0.770724,0.79428,0.779829,0.735962,0.77011,0.88196,0.743423,0.680177,0.651143,0.612746,0.60101,0.543567,0.556061,0.505679,0.514547],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,18.796992,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,1.639344,0.0,0.0,0.0,5.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.0,8.333333,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,18.461538,2.068966,0.45045,0.877193,0.0,0.934579,0.657895,0.0,0.729927,1.142857,2.222222,0.735294,0.0,0.540541,0.327869,0.900901,0.0,0.414938,0.0,0.0,0.246914,1.084011,0.271003,0.691244,42.564103,0.0,0.970874,0.26738,0.764331,0.352113,0.291829,0.248344,0.0,0.355872,1.742016,1.555815,2.152932,2.173054,2.810203,1.731928,2.079598,1.564995,1.469017,1.42524,2.287497,1.853568,1.312242,1.402708,1.298327,1.007855,1.293278,1.489048,1.507766,1.117735,1.578552,1.26312,1.085209,1.530014,1.476173,1.192577,1.20674,1.264565,0.895307,1.007741,0.953966,0.657507,1.191204,0.990793,0.709554,1.019286,1.177339,0.915688,1.041186,0.819141,0.53302,0.959133,1.000836,1.006025,0.947101,1.240768,1.6777,2.096526,1.328952,1.475837,1.451445,1.382958,1.715022,2.136326,1.814211,1.946329,1.807947,1.795153,1.656469,1.688517,1.500591,1.480052,1.185064,1.08293,0.913246,0.955486,1.266272,1.43265,1.550894,1.743838,1.655692,1.754003,1.842819,1.750036,1.91609,2.060186,2.093829,2.169082,2.183176,2.065622,2.082158,2.389914,2.593033,2.57985,2.823542,2.600941,3.019933,3.202597,3.440942,3.387282,3.262287,3.470148,3.528873,3.485007,3.405456,3.343809,3.35825,3.209587,3.109544,3.017933,2.924858,2.886794,2.798564,2.829383,2.729524,2.877262,2.798985,2.825783,2.830733,2.779393,2.740063,2.855841,2.841297,2.930807,2.848352,2.624611,2.728144,2.554096,2.456288,2.401824,2.07066,2.294141,2.061669,1.947888,1.907201,2.025331,1.893281,1.853736,1.744067,1.680143,1.55128,1.539446,1.501481,1.458943,1.415228,1.413047,1.467841,1.436531,1.371211,1.294147,1.234803,1.175625,1.14053,1.163794,1.11158,1.121627],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.12766,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,0.0,1.04712,0.0,0.0,0.0,0.0,0.0,0.540541,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.059312,0.041477,0.077791,0.0,0.03951,0.043234,0.037651,0.035855,0.0,0.0,0.0,0.025994,0.046339,0.035952,0.016311,0.043278,0.044464,0.107773,0.073837,0.079356,0.010645,0.219243,0.044476,0.09187,0.092541,0.122504,0.133569,0.062614,0.165663,0.134777,0.146049,0.101486,0.056919,0.18351,0.26761,0.20315,0.245305,0.125988,0.159813,0.197321,0.139937,0.057686,0.213413,0.162975,0.219948,0.241554,0.20524,0.397916,0.565525,0.252259,0.288975,0.295305,0.31545,0.357779,0.620458,0.72753,0.78654,0.781678,0.97629,0.696049,0.686073,0.70977,0.648352,0.470569,0.411798,0.477852,0.468205,0.64664,0.711654,1.044509,1.076168,1.219851,1.246541,1.188882,0.996235,1.093545,1.039522,1.131726,1.061676,0.970411,0.876042,0.940016,1.059672,0.875798,0.845001,0.898495,0.783086,0.817586,0.810616,0.826262,0.730429,0.730333,0.732722,0.685401,0.649993,0.623115,0.58782,0.535391,0.502829,0.491017,0.466506,0.458857,0.441692,0.369771,0.374381,0.350957,0.352661,0.330231,0.320845,0.293328,0.280615,0.279367,0.250054,0.252329,0.238354,0.241025,0.237044,0.213707,0.205504,0.196403,0.199926,0.177502,0.175311,0.179423,0.191427,0.164507,0.172063,0.176767,0.16292,0.163017,0.157305,0.153501,0.150245,0.149229,0.150481,0.145889,0.151863,0.148586,0.147254,0.139976,0.135791,0.125322,0.113943,0.113268,0.11023,0.10967,0.112035],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.75188,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,0.0,0.0,0.0,2.702703,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.980392,0.0,0.0,3.448276,0.0,0.877193,1.923077,0.0,0.0,0.0,0.729927,1.142857,0.0,0.0,0.452489,0.540541,0.327869,0.900901,1.282051,1.244813,1.084011,0.847458,0.246914,0.271003,0.542005,0.921659,0.43956,0.622407,0.693481,0.178253,0.509554,0.176056,0.583658,0.496689,0.393443,0.59312,1.161344,1.08907,1.150705,1.382853,1.167315,1.204819,0.752958,1.564995,1.602564,1.736201,1.507668,0.903614,0.808916,1.239602,0.851125,0.607677,1.023845,0.959882,1.110985,1.139025,0.808068,0.862836,0.711989,0.814362,0.937155,0.739398,0.665984,0.927716,0.818291,0.725379,0.681984,0.429833,0.830624,0.688139,0.615339,0.748604,0.955774,0.630615,0.780889,0.566572,0.317274,0.561743,0.683243,0.721048,0.622133,0.696572,0.816146,0.94935,0.632098,0.608052,0.598701,0.599873,0.655446,0.731748,0.719839,0.724332,0.65308,0.674604,0.645642,0.619278,0.581247,0.629655,0.501143,0.525078,0.436937,0.523696,0.642782,0.587888,0.591178,0.64187,0.584065,0.639565,0.664946,0.64826,0.654467,0.632385,0.674761,0.652835,0.617767,0.62682,0.66062,0.695527,0.650949,0.681814,0.705811,0.606702,0.67081,0.709244,0.694002,0.690622,0.647193,0.674858,0.681599,0.654135,0.632358,0.615252,0.626261,0.594755,0.607355,0.580406,0.594549,0.57995,0.566292,0.551723,0.551927,0.558618,0.55259,0.562976,0.563638,0.557185,0.558908,0.551467,0.551046,0.566682,0.561821,0.567191,0.554213,0.565397,0.54089,0.522357,0.468643,0.516119,0.542089,0.505542,0.500802,0.530438,0.533736,0.528371,0.519012,0.512026,0.499462,0.495751,0.488485,0.497245,0.494757,0.484864,0.504837,0.492519,0.492602,0.462042,0.432675,0.435678,0.398544,0.391317,0.38704,0.380736],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.829876,0.0,0.423729,0.0,0.0,0.0,0.460829,0.0,0.207469,0.138696,0.0,0.254777,0.0,0.0,0.0,0.0,0.118624,0.207383,0.233372,0.074239,0.03951,0.086468,0.112952,0.07171,0.031939,0.240385,0.025913,0.051989,0.02317,0.107855,0.065242,0.028852,0.088928,0.08083,0.049225,0.113366,0.053225,0.050113,0.106743,0.06316,0.135727,0.055127,0.066784,0.028461,0.082832,0.077016,0.068156,0.081189,0.088322,0.083706,0.175221,0.197262,0.262223,0.299765,0.315308,0.167933,0.184307,0.095759,0.223225,0.179691,0.124319,0.10253,0.161704,0.151758,0.147294,0.16624,0.125567,0.195791,0.166221,0.198444,0.234945,0.259173,0.228097,0.17966,0.247215,0.241848,0.238702,0.250677,0.294322,0.289786,0.250071,0.270963,0.27312,0.291682,0.211336,0.248219,0.184508,0.223597,0.194663,0.190546,0.198717,0.201071,0.196166,0.187434,0.178598,0.194822,0.163086,0.162617,0.181497,0.165758,0.169332,0.165968,0.13438,0.173641,0.142374,0.164526,0.144386,0.140179,0.136518,0.125821,0.129542,0.121285,0.11597,0.127439,0.119731,0.125738,0.141527,0.130334,0.132,0.12787,0.106686,0.123785,0.110898,0.110704,0.101365,0.090734,0.085528,0.084505,0.080236,0.085206,0.092363,0.068561,0.067899,0.061462,0.05979,0.058741,0.052363,0.053719,0.055724,0.054225,0.068753,0.049811,0.049424,0.044339,0.042392,0.041804,0.041804,0.039958,0.040236,0.039735,0.036265,0.036166,0.033009,0.031022,0.030253,0.029819,0.029977,0.028886,0.021536,0.020001,0.019302,0.0165,0.013751],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.127389,0.0,0.0,0.0,0.0,0.177936,0.0,0.272268,0.0,0.23706,0.043234,0.150602,0.0,0.095816,0.293803,0.0,0.0,0.069509,0.017976,0.016311,0.028852,0.014821,0.0,0.0,0.0,0.191612,0.018792,0.0,0.017226,0.006169,0.0,0.14788,0.022769,0.022088,0.019254,0.004868,0.012178,0.027478,0.012878,0.028672,0.03533,0.025376,0.056478,0.099343,0.071372,0.020479,0.016152,0.041701,0.041789,0.026776,0.01564,0.043536,0.031069,0.031179,0.050259,0.031822,0.046925,0.049497,0.05287,0.045098,0.054603,0.111546,0.058626,0.076619,0.137279,0.093202,0.174837,0.278037,0.267852,0.252209,0.314194,0.346819,0.235352,0.339189,0.278062,0.226335,0.356368,0.320946,0.280446,0.291231,0.303163,0.228772,0.272415,0.247671,0.216738,0.234547,0.186955,0.16768,0.165286,0.15945,0.162087,0.1379,0.183215,0.169469,0.190251,0.141612,0.13776,0.12254,0.119548,0.12447,0.122184,0.118975,0.136318,0.131785,0.145228,0.135464,0.125311,0.126734,0.127423,0.122339,0.122354,0.116002,0.120913,0.110371,0.113823,0.10891,0.11535,0.11228,0.110742,0.117244,0.10918,0.115989,0.113865,0.110771,0.112044,0.113389,0.121875,0.122857,0.123922,0.122424,0.123912,0.120949,0.132112,0.136586,0.147439,0.148566,0.158242,0.158131,0.163132,0.16387,0.168636,0.173358,0.166305,0.163855,0.164703,0.160725,0.185668,0.165809,0.1623,0.16192,0.1581,0.164257],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,2.040816,0.512821,10.344828,0.0,2.631579,0.961538,0.934579,0.0,0.0,0.729927,0.0,0.0,0.735294,0.452489,0.540541,0.0,0.0,1.709402,2.074689,1.626016,0.0,0.246914,1.897019,0.271003,0.0,0.586081,1.244813,0.277393,0.802139,0.127389,0.088028,0.583658,0.082781,0.065574,0.533808,0.041477,0.466744,0.111359,0.23706,0.302637,0.376506,0.322696,0.255509,0.133547,0.129567,0.233949,0.254866,0.323566,0.391453,0.230814,0.2075,0.484979,0.381492,0.238068,0.436449,0.219243,0.373599,0.235416,0.129558,0.287884,0.710776,0.250455,0.546689,0.245487,0.228811,0.316636,0.288518,0.463604,0.315397,0.476962,0.389105,0.460509,0.505356,0.45342,0.477832,0.328811,0.569102,0.43669,0.426509,0.439664,0.523984,0.558038,0.375224,0.581839,0.434323,0.450644,0.39893,0.444689,0.415336,0.451438,0.460484,0.497374,0.523761,0.499783,0.639472,0.665771,0.744248,0.702531,0.723853,1.019778,0.936411,0.907456,0.876287,0.78729,0.704415,0.627271,0.602029,0.675167,0.629933,0.719208,0.681911,0.695625,0.703361,0.779431,0.756855,0.697945,0.740535,0.666335,0.740861,0.705662,0.624011,0.773787,0.708472,0.751218,0.678205,0.6888,0.666343,0.670255,0.66431,0.647922,0.654962,0.721755,0.770274,0.82594,0.901725,0.847673,0.857149,0.964384,0.924812,0.966483,0.969417,1.015638,0.967471,0.982455,0.959644,1.026505,0.972334,0.969384,1.047535,1.020455,1.038881,1.013803,1.003043,1.017893,0.978106,1.049973,1.017388,1.004155,1.019298,1.034923,0.977175,1.046841,1.061157,1.082566,1.097526,1.093962,1.09708,1.129161,1.128947,1.124197,1.155269,1.118054,1.097573,1.046454,1.015877,1.188482,1.197815,1.222203,1.178986,1.10556,1.07231],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6875,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.118624,0.0,0.194477,0.074239,0.03951,0.172936,0.150602,0.107565,0.063877,0.080128,0.155481,0.077983,0.046339,0.053928,0.032621,0.043278,0.029643,0.040415,0.061531,0.090693,0.053225,0.250564,0.062267,0.022967,0.012339,0.042876,0.205123,0.045537,0.154619,0.057762,0.121708,0.052773,0.100098,0.06117,0.213451,0.194318,0.203011,0.243288,0.349862,0.155338,0.157002,1.585214,0.166806,0.11074,0.172133,0.097317,0.116614,0.119494,0.191375,0.140144,0.132447,0.155339,0.254872,0.204238,0.301137,0.301471,0.265279,0.281152,0.374713,0.315314,0.317406,0.354306,0.513857,0.400117,0.442434,0.527258,0.401443,0.412059,0.350865,0.339643,0.331099,0.363621,0.320946,0.313995,0.327663,0.323706,0.302797,0.321775,0.333533,0.431768,0.352841,0.326435,0.383613,0.408448,0.430183,0.488426,0.43349,0.577408,0.533543,0.632184,0.594629,0.627655,0.64754,0.615519,0.651013,0.639241,0.624161,0.663197,0.688743,0.738954,0.79812,0.730064,0.791076,0.771662,0.72414,0.759264,0.738464,0.68543,0.642853,0.736411,0.635615,0.630512,0.628682,0.599818,0.678849,0.613438,0.541235,0.563278,0.497751,0.516252,0.489453,0.487091,0.493548,0.503678,0.507748,0.499233,0.508705,0.517382,0.523036,0.551604,0.555207,0.574856,0.569625,0.581236,0.57249,0.580708,0.582096,0.559765,0.526645,0.523397,0.542708,0.532059,0.483802,0.49264,0.461849,0.447208,0.421728],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.5,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.444444,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,2.12766,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.655738,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.416089,0.178253,0.127389,0.088028,0.194553,0.082781,0.0,0.177936,0.082953,0.622326,0.0,0.355591,0.216169,0.150602,0.143421,0.191632,0.080128,0.129567,0.129971,0.162187,0.107855,0.260969,0.057703,0.074107,0.188603,0.110756,0.170049,0.106451,0.056377,0.124533,0.103353,0.135727,0.085753,0.505653,0.221995,0.127009,0.144404,0.131444,0.101486,0.14524,0.157754,0.22938,0.303253,0.253764,0.330176,0.431928,0.35266,0.269634,1.204486,0.272286,0.229837,0.19891,0.206798,0.203685,0.198361,0.193525,0.220364,0.159108,0.270224,0.234926,0.265799,0.329505,0.317621,0.337497,0.346082,0.296898,0.284748,0.38213,0.369358,0.472845,0.360903,0.341978,0.504099,0.409246,0.389682,0.304161,0.287062,0.265817,0.271533,0.250821,0.252664,0.294543,0.272452,0.250451,0.27021,0.281888,0.320339,0.34863,0.302752,0.341536,0.320471,0.360091,0.369398,0.357328,0.455464,0.441185,0.489556,0.477236,0.536927,0.49942,0.503154,0.521711,0.516663,0.519502,0.55244,0.541858,0.582421,0.642142,0.640813,0.626567,0.596222,0.599233,0.619556,0.600905,0.607861,0.590081,0.586918,0.581457,0.60972,0.563294,0.57803,0.603094,0.542695,0.566651,0.528306,0.509249,0.508259,0.499356,0.523257,0.565216,0.562854,0.604477,0.564687,0.576638,0.594021,0.59601,0.615064,0.626403,0.641804,0.645062,0.652288,0.663499,0.707955,0.701927,0.685795,0.661905,0.673692,0.716078,0.688545,0.63808,0.653595,0.659191,0.644668,0.627304],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.52356,0.729927,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.038895,0.0,0.07902,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02317,0.017976,0.0,0.0,0.014821,0.0,0.024612,0.011337,0.02129,0.006264,0.0,0.005742,0.018508,0.0,0.00477,0.0,0.011044,0.004813,0.009737,0.008119,0.001963,0.003219,0.003186,0.008833,0.004229,0.013033,0.008639,0.004198,0.013652,0.020767,0.009812,0.006268,0.003825,0.003476,0.007774,0.00717,0.005376,0.006766,0.00344,0.010518,0.009604,0.012312,0.012366,0.009998,0.00429,0.011977,0.010775,0.009116,0.010356,0.015052,0.018697,0.009305,0.012824,0.018527,0.015607,0.012346,0.014595,0.010895,0.014073,0.011984,0.008438,0.014153,0.017664,0.01411,0.016744,0.017471,0.017108,0.01907,0.017355,0.015498,0.01905,0.018029,0.016443,0.019701,0.018925,0.021361,0.020707,0.018894,0.016469,0.021885,0.017881,0.022297,0.02071,0.016323,0.02009,0.025023,0.025407,0.030314,0.032984,0.035831,0.033825,0.037737,0.032852,0.036492,0.031052,0.033401,0.030977,0.033566,0.031556,0.036957,0.032694,0.035454,0.034413,0.031038,0.032669,0.032089,0.031414,0.031411,0.030555,0.028605,0.029577,0.028075,0.031794,0.027581,0.029067,0.030556,0.028441,0.030113,0.030066,0.029541,0.029368,0.029954,0.028982,0.029687,0.030414,0.028727,0.027501,0.025983,0.027336,0.027238,0.027751,0.02581,0.023934,0.023211,0.025014],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.666667,0.0,0.0,0.0,1.342282,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.980392,0.680272,4.102564,0.689655,0.45045,0.0,0.0,0.0,0.657895,0.0,2.189781,1.714286,1.111111,0.367647,0.904977,1.081081,0.0,0.0,1.282051,0.829876,0.0,2.118644,0.0,0.813008,0.271003,1.152074,0.43956,0.207469,0.277393,0.26738,0.382166,0.616197,0.680934,0.413907,0.721311,0.59312,0.705102,1.166861,0.296956,0.513631,0.518807,0.564759,0.501972,0.542958,0.42735,0.75149,0.54588,0.440222,0.48535,0.473006,0.34622,0.340892,0.229018,0.344573,0.476136,0.510964,0.388374,0.507027,0.350253,0.450367,0.349136,0.577207,0.557832,0.452814,0.418773,0.365123,0.523666,0.370952,0.502238,0.541591,0.624172,0.596346,0.821097,0.790428,0.612956,0.877163,1.255249,0.740813,0.524446,0.677058,0.609968,0.724559,0.773128,0.633258,0.836032,0.595151,0.662616,0.611693,0.617785,0.633551,0.664467,0.756509,0.665687,0.734462,0.612395,0.717141,0.692981,0.752691,0.737093,0.659732,0.767342,0.752597,0.750812,0.626419,0.578862,0.536716,0.586588,0.513282,0.549884,0.591294,0.616701,0.596782,0.59436,0.590797,0.615917,0.586112,0.577892,0.58081,0.5625,0.600844,0.620364,0.60924,0.678649,0.63234,0.719873,0.699209,0.691109,0.68096,0.697915,0.731602,0.730633,0.723332,0.749297,0.792634,0.823219,0.963746,0.849083,0.907358,0.925977,0.872406,0.893249,0.866226,0.88701,0.892377,0.874298,0.839146,0.836599,0.809724,0.863133,0.87104,0.816544,0.831517,0.797144,0.807208,0.810181,0.800828,0.817508,0.840477,0.853088,0.875454,0.888809,0.86616,0.927163,0.962356,0.985052,1.040817,1.046032,1.050418,1.072801,1.094327,1.097735,1.105467,1.070714,1.057666,1.090131,1.057136,1.087137,1.00318,0.997091,1.009899,0.953513,0.953506],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.207469,0.138696,0.089127,0.0,0.0,0.0,0.0,0.131148,0.0,0.0,0.0,0.0,0.03951,0.0,0.037651,0.035855,0.031939,0.0,0.051827,0.0,0.0,0.0,0.0,0.014426,0.014821,0.0,0.012306,0.022673,0.04258,0.012528,0.01779,0.017226,0.037016,0.042876,0.042933,0.039845,0.022088,0.024067,0.02921,0.016238,0.017664,0.028975,0.028672,0.020609,0.025376,0.034755,0.008639,0.029388,0.017065,0.034612,0.014718,0.016715,0.015301,0.020854,0.023323,0.026289,0.017202,0.017397,0.022361,0.021035,0.01773,0.030418,0.024731,0.022303,0.022166,0.019542,0.014965,0.02145,0.02589,0.025473,0.026537,0.019275,0.023511,0.020071,0.025144,0.020063,0.014595,0.021317,0.020327,0.015768,0.019495,0.020968,0.023404,0.01743,0.016567,0.017471,0.015829,0.013804,0.015186,0.013424,0.016538,0.015292,0.015862,0.016343,0.014655,0.019147,0.015247,0.01434,0.018318,0.039774,0.014936,0.013164,0.012666,0.015031,0.014447,0.013722,0.018237,0.012582,0.012889,0.012143,0.014369,0.013766,0.013907,0.013993,0.01445,0.016764,0.013876,0.014061,0.012804,0.014836,0.013579,0.013221,0.015138,0.015362,0.015622,0.017958,0.017295,0.018273,0.017422,0.024999,0.022808,0.023617,0.024383,0.026237,0.026013,0.027896,0.026139,0.027725,0.030014,0.02766,0.030517,0.030232,0.031895,0.032461,0.033274,0.02915,0.026459,0.02807,0.028818,0.0301,0.029439,0.026024,0.027773,0.025154,0.022857],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.900901,0.0,0.0,0.0,0.0,0.0,0.729927,0.571429,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.271003,0.0,0.0,0.414938,0.277393,0.0,0.0,0.088028,0.097276,0.082781,0.065574,0.118624,0.165906,0.077791,0.074239,0.23706,0.043234,0.037651,0.035855,0.127755,0.133547,0.07774,0.025994,0.046339,0.125831,0.081553,0.072129,0.088928,0.067358,0.135368,0.079356,0.063871,0.037585,0.080057,0.045935,0.148066,0.055127,0.095406,0.068306,0.088354,0.120337,0.048683,0.223269,0.064769,0.096584,0.079646,0.097159,0.101506,0.082544,0.047512,0.088165,0.047783,0.149984,0.071138,0.07313,0.047815,0.057347,0.05131,0.068112,0.040855,0.045426,0.078264,0.042071,0.039154,0.03404,0.046553,0.039222,0.047192,0.060517,0.052675,0.035392,0.061617,0.041683,0.034378,0.034562,0.034198,0.027019,0.032081,0.039354,0.031525,0.027001,0.033618,0.031222,0.034044,0.030141,0.025392,0.025938,0.029257,0.029854,0.027981,0.021489,0.028457,0.021719,0.023655,0.02577,0.020014,0.021343,0.01806,0.020224,0.014783,0.01623,0.017966,0.017852,0.020258,0.020152,0.017618,0.015621,0.024035,0.016658,0.02711,0.017858,0.02837,0.013571,0.012191,0.030988,0.014602,0.01251,0.012048,0.013725,0.016114,0.012702,0.01196,0.012545,0.012647,0.013488,0.013756,0.013092,0.011396,0.011661,0.01076,0.010344,0.009846,0.011758,0.009109,0.009171,0.008721,0.010594,0.012487,0.009288,0.008649,0.009026,0.009207,0.008374,0.008583,0.00879,0.008849,0.008895,0.0084,0.009584,0.00843,0.009193,0.013092,0.009552,0.007173,0.006648,0.007682,0.006116,0.007623],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.026709,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.006264,0.0,0.011484,0.012339,0.01225,0.033392,0.0,0.0,0.0,0.004868,0.008119,0.0,0.0,0.003186,0.002944,0.0,0.021722,0.008639,0.008397,0.010239,0.002307,0.004906,0.008358,0.00765,0.010427,0.004665,0.00717,0.003225,0.007732,0.0086,0.007281,0.002216,0.004345,0.004364,0.003845,0.00429,0.003782,0.002993,0.001609,0.00466,0.004631,0.012062,0.007311,0.007837,0.008492,0.009538,0.008488,0.006422,0.007579,0.007036,0.007569,0.010475,0.012843,0.013689,0.008508,0.010222,0.00882,0.012951,0.009962,0.00906,0.009713,0.012037,0.009817,0.012623,0.01291,0.011482,0.016335,0.017153,0.018071,0.025583,0.033652,0.023025,0.023598,0.025752,0.025145,0.023565,0.026662,0.027692,0.028974,0.029057,0.029504,0.029111,0.029781,0.03349,0.038488,0.031265,0.034248,0.034454,0.034885,0.0405,0.035967,0.035932,0.039344,0.03988,0.046101,0.048523,0.049474,0.048858,0.051167,0.05746,0.055701,0.077059,0.065293,0.076395,0.077342,0.078678,0.072469,0.073439,0.071919,0.076984,0.074962,0.075091,0.07363,0.075192,0.079827,0.071821,0.067469,0.066009,0.074526,0.071378,0.073142,0.06388,0.062594,0.062166,0.057014,0.050868],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,32.8125,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,2.919708,0.0,3.333333,0.0,0.904977,0.0,0.0,0.0,0.0,0.829876,0.542005,0.847458,0.493827,0.0,0.813008,0.230415,0.0,0.622407,0.138696,0.178253,0.509554,0.528169,0.194553,0.248344,0.131148,0.355872,0.12443,1.59471,0.111359,0.395101,0.216169,0.451807,0.430262,0.73459,0.133547,0.440529,0.155966,0.254866,0.449398,0.195727,0.230814,0.311249,0.309848,0.135368,0.215395,0.234192,0.444751,0.249066,0.327285,0.265285,0.245008,1.650527,0.256148,0.563256,0.274368,0.43328,0.405943,0.30422,0.386337,0.468317,0.730163,0.630181,0.651664,0.786109,0.722113,0.433462,0.576861,0.434185,0.40117,0.415033,0.342347,0.427583,0.285591,0.468762,0.352776,0.362939,0.417472,0.688524,0.470038,0.749205,0.789824,0.649253,0.597606,0.713512,0.590945,0.637401,0.746243,0.866078,1.002951,0.983186,1.018234,1.068202,0.984621,0.792219,0.754131,0.653988,0.632317,0.59941,0.494581,0.524393,0.552997,0.47517,0.454081,0.489746,0.566678,0.462969,0.406762,0.430923,0.421285,0.406348,0.435068,0.401006,0.48227,0.463695,0.495031,0.605506,0.780884,0.542277,0.549927,0.573156,0.568274,0.575646,0.618263,0.650028,0.654962,0.676079,0.678847,0.682806,0.679726,0.6811,0.682696,0.677748,0.689641,0.716817,0.71295,0.696732,0.698982,0.705929,0.710649,0.771204,0.757079,0.741071,0.760179,0.752686,0.760311,0.737511,0.817735,0.802254,0.816586,0.810797,0.859924,0.897749,0.931513,0.98516,1.018783,1.076076,1.095883,1.147791,1.181866,1.213296,1.212178,1.229995,1.176479,1.091305,1.111058,1.18317,1.204922,1.214929,1.262637,1.324592,1.114582,0.892785],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,16.666667,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,9.090909,0.0,0.0,0.0,0.0,0.0,0.0,6.060606,5.263158,0.0,0.0,0.0,0.0,2.040816,0.0,1.818182,0.0,0.0,1.960784,2.040816,0.512821,0.689655,0.0,0.0,1.923077,0.934579,2.631579,0.0,0.0,1.142857,1.111111,0.367647,0.452489,1.081081,0.327869,0.0,0.854701,0.414938,1.355014,0.423729,0.246914,0.271003,0.0,0.460829,0.21978,0.207469,0.138696,0.0,0.509554,0.440141,0.583658,0.248344,0.131148,0.237248,0.290336,0.194477,0.185598,0.23706,0.562041,0.677711,0.430262,0.351325,0.42735,0.596009,0.36392,0.417053,0.467374,0.326211,0.216388,0.192678,0.269433,0.319961,0.272078,0.255482,0.162866,0.329123,0.21819,0.185082,0.214382,0.162191,0.227687,0.226407,0.182912,0.258021,0.146139,0.064769,0.157754,0.143362,0.194318,0.198782,0.182466,0.185729,0.197321,0.201372,0.25728,0.149634,0.190138,0.124319,0.133811,0.122833,0.088426,0.113965,0.10535,0.107506,0.110031,0.129283,0.131813,0.130929,0.138431,0.113691,0.101492,0.099963,0.101887,0.109254,0.105944,0.112783,0.105679,0.112568,0.134324,0.150866,0.150471,0.115593,0.109898,0.113363,0.08988,0.091948,0.093307,0.101346,0.087567,0.090064,0.075313,0.065715,0.069305,0.076694,0.086875,0.075257,0.069758,0.070258,0.063208,0.054179,0.066357,0.073402,0.058039,0.077807,0.075698,0.063931,0.06725,0.068853,0.062033,0.064033,0.060907,0.066833,0.062031,0.066216,0.058849,0.06136,0.066297,0.061063,0.060606,0.057038,0.057927,0.061865,0.059503,0.058194,0.062002,0.059137,0.062067,0.065041,0.06642,0.063931,0.06545,0.069592,0.063696,0.068195,0.072119,0.078608,0.074066,0.083376,0.08487,0.08148,0.084093,0.086259,0.08707,0.09146,0.086389,0.091965,0.091939,0.094759,0.094605,0.096459,0.096693,0.097696,0.100102,0.107411,0.097516,0.093539,0.090362,0.096358,0.087625,0.079497],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.657895,0.52356,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.813008,0.0,0.0,0.0,0.0,0.0,0.07326,0.207469,0.0,0.0,0.0,0.088028,0.0,0.0,0.0,0.237248,0.0,0.116686,0.0,0.03951,0.043234,0.0,0.0,0.031939,0.026709,0.0,0.025994,0.046339,0.053928,0.048932,0.014426,0.029643,0.026943,0.036919,0.045346,0.02129,0.588825,0.062267,0.017226,0.055525,0.036751,0.090636,0.017077,0.07731,0.033694,0.073025,0.056832,0.029441,0.041853,0.041416,0.058884,0.084588,0.130333,0.073428,0.041983,0.047783,0.092298,0.034342,0.041789,0.040164,0.039969,0.060639,0.046603,0.049457,0.057024,0.060203,0.05987,0.044326,0.043455,0.058918,0.031531,0.052913,0.039714,0.032922,0.041291,0.045048,0.042262,0.041615,0.037885,0.037048,0.071794,0.039884,0.043984,0.049039,0.037422,0.038309,0.03816,0.028516,0.038266,0.030249,0.035483,0.04089,0.029684,0.032938,0.036574,0.031009,0.028922,0.031715,0.036625,0.037288,0.037611,0.035254,0.040568,0.038118,0.038854,0.049009,0.05451,0.036081,0.043652,0.04247,0.04453,0.042245,0.047991,0.049559,0.053406,0.059314,0.058461,0.060076,0.070587,0.07243,0.077894,0.08535,0.086572,0.094378,0.098826,0.098147,0.107719,0.117028,0.115263,0.124181,0.132977,0.141154,0.145977,0.173663,0.178403,0.191675,0.205372,0.208799,0.19371,0.220646,0.217832,0.217638,0.221435,0.232368,0.242542,0.249806,0.239629,0.243241,0.25005,0.255103,0.259335,0.26127,0.256161,0.259816,0.251782,0.261014,0.286548,0.318719,0.336268,0.347844,0.295023,0.291515],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.031935,0.006264,0.0,0.0,0.0,0.0,0.023852,0.0,0.0,0.0,0.004868,0.0,0.003925,0.003219,0.003186,0.002944,0.004229,0.004344,0.0,0.004198,0.003413,0.0,0.004906,0.002089,0.0,0.0,0.001555,0.0,0.001075,0.001933,0.00258,0.0,0.002216,0.000724,0.002182,0.000769,0.00286,0.001261,0.001796,0.002681,0.002071,0.001737,0.003619,0.002659,0.004275,0.003088,0.000867,0.000772,0.001168,0.002369,0.003518,0.004731,0.004074,0.002621,0.004195,0.00249,0.002115,0.001357,0.001599,0.004269,0.002425,0.000982,0.000942,0.001322,0.000747,0.001269,0.001039,0.001915,0.00206,0.001793,0.003919,0.007661,0.002483,0.00195,0.002821,0.002978,0.003553,0.003742,0.00289,0.003392,0.003661,0.003102,0.003787,0.00362,0.003661,0.003728,0.004029,0.004722,0.003828,0.004096,0.003739,0.004263,0.004395,0.004328,0.005849,0.005196,0.005902,0.006624,0.006022,0.007871,0.008438,0.009863,0.011989,0.012518,0.013944,0.015936,0.016763,0.018351,0.020468,0.021788,0.022812,0.023473,0.024075,0.024073,0.023835,0.024805,0.025017,0.024055,0.022929,0.023359,0.024778,0.025981,0.028793,0.035215,0.041225,0.032594,0.022566],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,20.0,0.0,0.0,0.0,5.882353,8.695652,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.846154,0.0,5.263158,1.342282,2.702703,2.222222,0.0,2.040816,0.0,1.818182,0.0,0.0,0.0,0.0,0.512821,0.689655,0.45045,1.754386,0.0,2.803738,0.0,0.0,0.0,0.571429,0.0,0.367647,0.452489,0.0,2.295082,0.900901,0.42735,0.829876,0.271003,0.0,0.246914,0.0,0.542005,0.460829,0.07326,0.0,0.0,0.534759,0.0,0.0,0.583658,0.082781,0.262295,0.355872,0.829531,0.233372,0.631032,0.316081,0.216169,0.338855,0.394407,0.223571,0.160256,0.596009,0.259943,0.347544,0.467374,0.407764,0.331795,0.414999,0.404149,0.467635,0.328761,0.319353,0.200451,0.169009,0.315802,0.271454,0.202132,0.519964,0.267532,0.215363,0.279182,0.34565,0.312576,0.168793,0.263997,0.350441,0.388635,0.444087,0.282388,0.310988,0.32747,0.262808,0.669159,0.274739,0.261178,0.166396,0.203323,0.222343,0.259303,0.246207,0.236795,0.256293,0.227344,0.294026,0.249142,0.188392,0.17996,0.175899,0.158227,0.158026,0.126018,0.135661,0.148206,0.171889,0.146222,0.140353,0.102673,0.098843,0.107259,0.106836,0.083845,0.089909,0.089565,0.103587,0.086231,0.079266,0.087982,0.092002,0.093293,0.083783,0.07642,0.085499,0.084255,0.079967,0.06013,0.084459,0.065298,0.055045,0.077427,0.056919,0.065403,0.065478,0.094027,0.065847,0.058246,0.060749,0.062314,0.068579,0.075265,0.076288,0.080706,0.078533,0.082589,0.083595,0.092026,0.084009,0.084064,0.085763,0.090888,0.086688,0.09313,0.086771,0.096172,0.093132,0.090499,0.089952,0.099429,0.092518,0.102227,0.110584,0.10133,0.102417,0.1092,0.121636,0.132159,0.129811,0.134953,0.12633,0.120034,0.128704,0.127255,0.141964,0.166924,0.132067,0.145577,0.136697,0.138908,0.133661,0.169418,0.136234,0.147428,0.187383,0.161783,0.150432,0.14789,0.162413,0.128305,0.091087],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.088028,0.0,0.0,0.131148,0.0,0.041477,0.077791,0.0,0.0,0.043234,0.0,0.0,0.0,0.026709,0.051827,0.025994,0.046339,0.035952,0.016311,0.014426,0.0,0.026943,0.0,0.022673,0.02129,0.006264,0.01779,0.0,0.0,0.01225,0.014311,0.005692,0.022088,0.004813,0.019473,0.004059,0.003925,0.009658,0.003186,0.005888,0.004229,0.004344,0.0,0.008397,0.010239,0.04961,0.0,0.006268,0.005738,0.008689,0.00311,0.00478,0.006451,0.005799,0.00344,0.005663,0.013298,0.00507,0.010911,0.017688,0.00858,0.008195,0.008979,0.011261,0.006731,0.013894,0.013269,0.036556,0.019236,0.016211,0.032948,0.01389,0.012844,0.014211,0.011336,0.014507,0.007856,0.014153,0.026937,0.01577,0.009694,0.012552,0.010713,0.008112,0.013271,0.005348,0.00785,0.006419,0.007972,0.008806,0.006347,0.007779,0.006645,0.006347,0.007882,0.010484,0.007663,0.009524,0.009365,0.008232,0.009693,0.011325,0.011158,0.010091,0.013213,0.010645,0.012938,0.011054,0.010771,0.012234,0.011948,0.0113,0.009949,0.011091,0.0117,0.009497,0.011859,0.010987,0.011206,0.011967,0.012206,0.01287,0.013557,0.012655,0.016609,0.015327,0.016677,0.01753,0.015747,0.017953,0.016435,0.039122,0.018457,0.018932,0.02115,0.02016,0.021444,0.020034,0.022344,0.019925,0.020783,0.021819,0.016933,0.016499,0.0176,0.014755,0.014215,0.012482,0.012312,0.011243,0.009035],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.729927,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.089127,0.0,0.0,0.097276,0.0,0.131148,0.0,0.041477,0.116686,0.0,0.0,0.129702,0.0,0.0,0.031939,0.053419,0.0,0.0,0.046339,0.0,0.0,0.072129,0.014821,0.040415,0.0,0.102029,0.053225,0.018792,0.035581,0.034451,0.018508,0.01225,0.028622,0.005692,0.022088,0.024067,0.014605,0.020297,0.011776,0.006439,0.044602,0.11188,0.029606,0.017378,0.077747,0.029388,0.047783,0.776455,0.034342,0.022984,0.021039,0.019116,0.021768,0.017924,0.012902,0.023196,0.027521,0.027508,0.025857,0.023176,0.018912,0.028455,0.029316,0.023955,0.026338,0.026812,0.019158,0.028947,0.016887,0.016616,0.039897,0.039371,0.028613,0.044756,0.021017,0.024159,0.029709,0.019238,0.020077,0.028045,0.018547,0.025315,0.020269,0.019846,0.019187,0.029031,0.019652,0.017571,0.018422,0.016991,0.015447,0.020821,0.019098,0.020224,0.026219,0.022818,0.030603,0.045749,0.02973,0.028928,0.031545,0.033377,0.035948,0.042904,0.038424,0.036825,0.039295,0.038422,0.04031,0.040642,0.046815,0.04471,0.042075,0.040629,0.038447,0.039535,0.044137,0.041593,0.042014,0.04849,0.049962,0.05864,0.045653,0.051417,0.052795,0.044681,0.069481,0.052021,0.068795,0.059403,0.080277,0.071951,0.084315,0.067674,0.068406,0.070156,0.075559,0.080286,0.078959,0.090692,0.086704,0.106747,0.112583,0.098259,0.101719,0.104536,0.114845,0.102259,0.094684,0.078995,0.093111,0.097566,0.099677],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.097276,0.0,0.0,0.059312,0.0,0.350058,0.0,0.0,0.0,0.075301,0.035855,0.031939,0.0,0.0,0.025994,0.0,0.071904,0.032621,0.057703,0.088928,0.013472,0.0,0.045346,0.04258,0.043849,0.053371,0.0,0.024678,0.049002,0.090636,0.022769,0.088354,0.038508,0.02921,0.016238,0.035329,0.032195,0.054159,0.044163,0.021147,0.026067,0.190048,0.037785,0.040957,0.063455,0.058873,0.041789,0.040164,0.017378,0.027987,0.019119,0.032254,0.028029,0.024941,0.032362,0.036199,0.02897,0.040006,0.026148,0.039327,0.043497,0.043697,0.0429,0.056957,0.096103,0.065137,0.076434,0.066971,0.079513,0.096242,0.099542,0.064802,0.064423,0.061372,0.068751,0.058486,0.050585,0.054978,0.064119,0.052875,0.064118,0.055162,0.057493,0.069292,0.058935,0.067512,0.060979,0.063946,0.068133,0.060122,0.07988,0.070105,0.07829,0.083003,0.092304,0.07461,0.078496,0.0823,0.079003,0.07997,0.088229,0.085138,0.091571,0.093538,0.091066,0.093397,0.090953,0.090565,0.097637,0.094746,0.095262,0.103844,0.107281,0.098406,0.104628,0.108792,0.104024,0.11285,0.114287,0.116686,0.116856,0.117135,0.123051,0.122712,0.140815,0.15395,0.147891,0.158395,0.16164,0.168476,0.172873,0.184895,0.196693,0.20492,0.209388,0.218654,0.222403,0.224113,0.226252,0.22889,0.220506,0.214591,0.219009,0.221735,0.224466,0.218657,0.215914,0.232808,0.243547,0.248186],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.020202,0.0,1.639344,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,4.347826,0.0,0.0,0.0,6.666667,0.0,0.0,18.181818,0.0,0.0,3.333333,0.0,0.0,0.0,3.030303,5.263158,0.671141,0.0,8.888889,0.0,0.0,0.917431,1.818182,1.06383,1.980198,0.980392,0.0,1.025641,4.827586,4.504505,2.631579,3.846154,0.934579,2.631579,3.141361,3.649635,2.857143,5.555556,4.044118,2.262443,2.702703,3.934426,5.405405,3.846154,2.489627,2.439024,1.694915,2.469136,1.897019,0.813008,2.764977,0.879121,1.452282,1.941748,1.515152,1.910828,0.792254,2.140078,0.910596,1.442623,1.601423,1.410203,4.550758,0.853749,1.540893,1.686122,2.108434,2.043743,1.373363,1.175214,1.736201,1.325708,1.204819,1.384145,1.679987,1.255049,1.615533,1.198976,1.193699,1.213014,1.181605,0.908294,1.183064,1.159853,1.277068,1.120911,2.137099,1.337659,1.236954,1.198556,1.372864,1.181294,0.910697,1.088181,1.303004,1.486825,2.118931,1.789904,1.529026,1.444225,1.365234,3.111588,1.61409,1.500209,1.21641,1.164326,1.125709,1.404058,1.09772,1.162712,1.14386,1.084943,0.993632,0.942973,1.013973,0.986703,0.983175,0.873084,0.943368,0.841373,1.014871,1.07276,0.98067,1.002286,1.023796,1.125538,1.130629,1.23232,0.917736,0.866398,0.77947,0.789686,0.802512,0.72418,0.742761,0.677915,0.690195,0.692402,0.716472,0.740011,0.711425,0.727631,0.76283,0.697769,0.741359,0.690736,0.634339,0.744348,0.741902,0.791816,0.989258,1.305164,0.930829,0.966427,1.14217,1.011497,1.078846,1.113465,1.241647,1.243642,1.2468,1.21987,1.248729,1.286421,1.298441,1.259105,1.253155,1.38144,1.332576,1.315821,1.293081,1.35625,1.393467,1.334162,1.430212,1.476608,1.529333,1.583429,1.631047,1.666067,1.684812,1.802384,1.962168,1.945929,2.129848,2.074577,2.14204,2.056784,2.155692,2.239645,2.336438,2.333342,2.403784,2.469777,2.484605,2.500515,2.501231,2.427363,2.439118,2.550283,2.808266,2.632355,2.538134,2.486671,2.584242,2.393573,2.194372],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.834862,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.277393,0.0,0.0,0.0,0.194553,0.0,0.065574,0.830368,0.041477,0.077791,0.03712,0.0,0.129702,0.037651,0.035855,0.031939,0.160256,0.181394,0.051989,0.02317,0.071904,0.065242,0.057703,0.088928,0.067358,0.012306,0.136039,0.117096,0.068905,0.053371,0.022967,0.037016,0.067377,0.062014,0.068306,0.066265,0.033694,0.053551,0.056832,0.04318,0.035414,0.041416,0.047107,0.084588,0.069511,0.051831,0.067173,0.04437,0.048456,0.041701,0.039699,0.042077,0.069512,0.049755,0.044213,0.034405,0.030928,0.036122,0.063915,0.050974,0.060837,0.053826,0.055372,0.046477,0.04854,0.055668,0.050407,0.050744,0.05963,0.051868,0.067129,0.064121,0.072566,0.085838,0.083338,0.067721,0.064423,0.057072,0.062759,0.045101,0.053468,0.048355,0.052706,0.044239,0.042236,0.040293,0.039562,0.039431,0.036343,0.041344,0.040212,0.04443,0.044775,0.034504,0.037038,0.040281,0.039775,0.043109,0.051284,0.042609,0.043652,0.048653,0.048211,0.048149,0.058681,0.051979,0.05125,0.056702,0.05476,0.05489,0.052441,0.052378,0.05042,0.052496,0.052185,0.049383,0.045815,0.043321,0.043555,0.042746,0.043167,0.046824,0.041832,0.046696,0.047606,0.050992,0.050026,0.045431,0.050479,0.050949,0.053332,0.056122,0.061459,0.070823,0.069013,0.074204,0.078128,0.086461,0.092059,0.09666,0.104436,0.113418,0.123319,0.129082,0.130726,0.135783,0.147103,0.148037,0.149304,0.156737,0.156543,0.150073,0.160609,0.166836],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,25.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0,0.0,4.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.882353,4.347826,0.0,6.666667,7.692308,0.0,0.0,6.451613,0.0,4.444444,0.0,3.333333,6.060606,0.0,7.692308,6.060606,0.0,2.684564,2.702703,4.444444,0.0,2.040816,4.587156,0.0,2.12766,0.990099,2.941176,4.081633,1.538462,0.689655,1.801802,2.631579,3.846154,1.869159,11.842105,3.664921,2.189781,3.428571,2.222222,1.838235,2.714932,1.081081,0.983607,2.702703,0.854701,2.489627,2.439024,1.271186,1.481481,1.355014,1.897019,1.843318,0.659341,1.037344,1.10957,0.445633,2.420382,1.232394,1.167315,1.076159,1.245902,1.304864,1.742016,1.01128,1.336303,0.829712,1.080847,1.995482,1.936178,1.405302,1.709402,1.347499,1.559657,1.13531,1.653784,2.07144,1.586844,1.393212,1.549239,1.599803,1.054302,0.958058,0.714107,0.711617,0.602894,0.913073,0.820777,0.830034,1.041667,1.115467,0.673887,0.6913,0.807827,0.512267,0.808087,0.694511,0.836155,0.795128,0.899296,0.609019,0.667534,0.713335,11.934099,0.507776,0.591308,0.401645,0.41881,0.463344,0.362068,0.383826,0.331513,0.358639,0.356793,0.330226,0.344743,0.363692,0.329157,0.402566,0.383275,0.357354,0.344271,0.371774,0.396568,0.395042,0.420056,0.3776,0.428446,0.49335,0.556357,0.496815,0.438173,0.358853,0.313793,0.346552,0.307442,0.31022,0.348606,0.336461,0.308205,0.294519,0.270673,0.272958,0.254294,0.283654,0.263929,0.291993,0.266489,0.234603,0.272668,0.270532,0.265877,0.263277,0.306239,0.257249,0.212475,0.259655,0.221275,0.381038,0.22193,0.340888,0.234476,0.265913,0.211161,0.224405,0.434741,0.275741,0.325386,0.327214,0.31465,0.229835,0.295593,0.236654,0.263992,0.231196,0.283195,0.229771,0.375509,0.209286,0.29475,0.260513,0.223815,0.244767,0.362657,0.277733,0.282731,0.279091,0.293939,0.353138,0.273536,0.304048,0.246924,0.280469,0.253433,0.273765,0.273395,0.282324,0.278631,0.264271,0.256024,0.261473,0.320731,0.403625,0.315369,0.244294,0.20267,0.23204,0.192369,0.192851],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.038895,0.03712,0.0,0.0,0.0,0.0,0.031939,0.080128,0.025913,0.025994,0.0,0.035952,0.048932,0.0,0.014821,0.0,0.061531,0.0,0.0,0.018792,0.0,0.005742,0.006169,0.018376,0.410247,0.005692,0.044177,0.009627,0.034078,0.028416,0.011776,0.016097,0.019115,0.008833,0.004229,0.104266,0.025916,0.016793,0.017065,0.130371,0.019624,0.014626,0.0,0.012165,0.00311,0.00956,0.017202,0.011598,0.012901,0.021844,0.014036,0.018106,0.018185,0.019996,0.025026,0.020803,0.023943,0.02145,0.031067,0.030683,0.037996,0.047855,0.055571,0.057898,0.036416,0.062503,0.033277,0.034106,0.028536,0.029645,0.032007,0.025162,0.033561,0.034238,0.031725,0.030023,0.02894,0.038139,0.030116,0.026521,0.030773,0.031622,0.027738,0.033059,0.033869,0.039012,0.034151,0.039678,0.048613,0.148317,0.041261,0.039622,0.04121,0.042311,0.045354,0.049117,0.051307,0.051606,0.051173,0.052116,0.054224,0.047272,0.055074,0.049869,0.051458,0.058183,0.059014,0.0559,0.060903,0.062246,0.06407,0.067679,0.076446,0.076314,0.083006,0.084509,0.087454,0.09244,0.093126,0.102172,0.109344,0.111976,0.125582,0.13319,0.146018,0.141402,0.161658,0.177924,0.197204,0.204008,0.21912,0.225499,0.239814,0.244864,0.249715,0.246611,0.24384,0.246055,0.253137,0.257262,0.24731,0.236654,0.240086,0.214093,0.190991],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.333333,0.0,0.0,0.0,3.030303,0.0,0.671141,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.877193,0.0,0.0,0.657895,1.570681,0.0,0.0,0.0,0.367647,0.452489,1.081081,1.311475,0.900901,2.136752,0.829876,0.813008,0.847458,0.246914,0.271003,0.813008,0.691244,0.3663,0.207469,0.416089,0.26738,1.019108,0.616197,0.389105,0.993377,0.459016,0.415184,0.580672,0.388954,0.03712,0.434611,0.605275,0.677711,0.107565,0.191632,0.400641,0.518269,0.36392,0.139018,0.467374,0.260969,0.331795,0.281607,0.363734,0.393798,0.272078,0.276772,0.181659,0.302437,0.264125,0.259115,0.251133,0.286219,0.307377,0.298194,0.279182,0.170391,0.28416,0.186457,0.251119,0.375928,0.435743,0.363729,0.291077,0.375777,0.335866,0.481245,1.209101,0.431732,0.390723,0.393994,0.406645,0.531758,0.523385,0.348346,0.430097,0.334557,0.313913,0.254872,0.262903,0.258949,0.248406,0.220946,0.215592,0.208906,0.180179,0.260967,0.198574,0.169476,0.20604,0.190225,0.200713,0.16734,0.202171,0.157626,0.146847,0.157927,0.129932,0.137341,0.126856,0.12475,0.112467,0.124785,0.116362,0.118159,0.108725,0.108213,0.130203,0.115555,0.097982,0.108459,0.099103,0.079855,0.095078,0.091585,0.085267,0.100132,0.128302,0.092526,0.088735,0.084791,0.083666,0.084359,0.088694,0.100059,0.101746,0.097904,0.090238,0.085237,0.0907,0.08899,0.090903,0.087615,0.097733,0.087467,0.090794,0.12022,0.103595,0.112705,0.10026,0.111733,0.11126,0.114293,0.153621,0.121889,0.118174,0.125696,0.139787,0.142191,0.139274,0.166886,0.150904,0.157912,0.146546,0.143635,0.147381,0.150167,0.137997,0.148705,0.148712,0.14618,0.149113,0.180574,0.135267,0.136759,0.15178,0.164133,0.153429,0.137308,0.125927,0.134146,0.118801,0.101447],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,2.040816,1.834862,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.0,0.877193,0.0,2.803738,1.315789,0.52356,0.729927,0.0,0.0,0.0,0.0,0.0,0.327869,0.0,0.42735,0.0,0.271003,0.847458,0.246914,0.0,0.271003,0.0,0.0,0.414938,0.0,0.0,0.254777,0.088028,0.194553,0.165563,0.0,0.355872,0.207383,0.116686,0.03712,0.07902,0.302637,0.150602,0.286841,0.159693,0.080128,0.103654,0.051989,0.046339,0.08988,0.146795,0.043278,0.311249,0.094301,0.049225,0.079356,0.031935,0.119018,0.080057,0.040193,0.061694,0.036751,0.052473,0.073998,0.082832,0.052948,0.048683,0.060891,0.045142,0.045073,0.105132,0.058884,0.173406,0.108611,0.082066,0.067173,0.092153,0.23882,0.066232,0.077309,0.091805,0.026067,0.066858,0.043018,0.047306,0.037694,0.033542,0.053398,0.053929,0.060837,0.050917,0.060756,0.072219,0.053583,0.067041,0.055234,0.074044,0.079314,0.074184,0.081087,0.074808,0.091093,0.117918,0.125778,0.100414,0.084319,0.085609,0.082312,0.080018,0.080464,0.07772,0.074701,0.086362,0.081589,0.076588,0.096344,0.093538,0.079126,0.087922,0.081935,0.085455,0.086044,0.074835,0.085444,0.096324,0.081536,0.110568,0.135157,0.091994,0.100728,0.100548,0.101507,0.102202,0.116114,0.118723,0.12848,0.129591,0.135128,0.139266,0.146553,0.147385,0.153465,0.152597,0.159814,0.163922,0.153156,0.149168,0.159642,0.160071,0.156493,0.158579,0.160006,0.155552,0.158176,0.166422,0.160237,0.168535,0.163277,0.181912,0.167135,0.186274,0.182118,0.189151,0.189304,0.190975,0.197361,0.201566,0.202428,0.208005,0.210237,0.212508,0.218376,0.215538,0.210201,0.213267,0.207901,0.220179,0.219848,0.227694,0.231597,0.248965,0.21767,0.189773],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6875,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.980392,0.0,0.512821,0.0,0.0,0.0,2.884615,0.0,0.0,0.0,0.729927,0.0,1.111111,0.367647,0.452489,0.0,0.327869,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.0,0.0,0.0,0.207469,0.0,0.0,0.0,0.0,0.097276,0.0,0.065574,0.0,0.12443,0.194477,0.371195,0.15804,0.043234,0.225904,0.143421,0.031939,0.080128,0.129567,0.103977,0.139018,0.233687,0.212037,0.057703,0.059286,0.134716,0.123062,0.022673,0.085161,0.169131,0.169009,0.045935,0.086372,0.177631,0.376854,0.062614,0.093876,0.052948,0.131444,0.06901,0.045142,0.083706,0.136991,0.141322,0.164947,0.182466,0.107982,0.05038,0.116045,0.154599,0.090762,0.081488,0.074591,0.064299,0.05131,0.09679,0.106439,0.069589,0.066223,0.095468,0.07757,0.080392,0.069101,0.079982,0.100105,0.076907,0.083802,0.062205,0.077151,0.083945,0.08504,0.077764,0.107581,0.088005,0.110115,0.12655,0.100998,0.102319,0.0946,0.08105,0.077691,0.073126,0.066239,0.076776,0.07332,0.069715,0.07291,0.077417,0.066612,0.066684,0.080909,0.074572,0.071836,0.066715,0.064969,0.074794,0.071136,0.082747,0.101013,0.141866,0.091355,0.104369,0.122039,0.12033,0.129242,0.14483,0.157908,0.18063,0.189783,0.204199,0.202023,0.195731,0.207327,0.198726,0.223597,0.219006,0.219853,0.21585,0.198687,0.218198,0.235069,0.234327,0.24072,0.24303,0.255316,0.253498,0.257721,0.249365,0.259227,0.263297,0.276282,0.262113,0.281985,0.284798,0.272322,0.27177,0.295417,0.2932,0.294271,0.288161,0.294091,0.29619,0.295721,0.303172,0.300709,0.295781,0.287767,0.298339,0.306419,0.311112,0.29194,0.291007,0.296653,0.292003,0.280594],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.053419,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.017226,0.0,0.006125,0.00477,0.005692,0.0,0.0,0.009737,0.008119,0.0,0.0,0.0,0.002944,0.0,0.008689,0.0,0.0,0.0,0.0,0.0,0.0,0.001913,0.0,0.001555,0.0,0.0,0.000967,0.00172,0.003236,0.001478,0.0,0.00291,0.000769,0.000715,0.00063,0.000599,0.000536,0.001036,0.000579,0.001206,0.0,0.001425,0.0,0.001734,0.002315,0.001168,0.001421,0.000391,0.000315,0.002037,0.0,0.000883,0.000415,0.000529,0.001018,0.00064,0.0,0.000766,0.000655,0.000628,0.00085,0.000997,0.000672,0.000519,0.000359,0.000618,0.000775,0.001982,0.001906,0.000497,0.00117,0.001471,0.000843,0.000941,0.000832,0.000896,0.001005,0.000839,0.000864,0.000959,0.000507,0.000624,0.000656,0.000425,0.000603,0.000505,0.000453,0.000649,0.000339,0.000386,0.000431,0.000529,0.000464,0.000797,0.000779,0.000824,0.001112,0.000786,0.000998,0.001327,0.00142,0.001351,0.001476,0.001783,0.002079,0.002476,0.002464,0.002783,0.0032,0.002844,0.003336,0.003482,0.003469,0.003367,0.003039,0.002298,0.002832,0.003068,0.003651,0.003795,0.003598,0.00461,0.00457,0.004229],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,100.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.263158,0.0,0.0,0.0,2.857143,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,3.333333,3.030303,6.666667,3.846154,0.0,0.0,0.671141,0.0,4.444444,3.030303,2.040816,1.834862,1.818182,1.06383,2.970297,0.980392,3.401361,1.025641,3.448276,1.801802,2.631579,3.846154,1.869159,0.0,1.570681,0.729927,1.142857,0.0,2.205882,0.904977,2.162162,0.655738,6.756757,2.136752,1.244813,1.897019,3.389831,1.975309,2.439024,1.626016,1.843318,0.659341,2.697095,0.970874,0.802139,1.910828,1.320423,1.070039,1.655629,1.57377,1.008304,1.119867,2.528199,0.853749,0.790202,1.297017,1.204819,1.398351,1.501118,1.282051,1.192019,0.935794,0.903614,0.737012,0.766596,1.298327,0.829999,0.754412,0.652227,0.850244,0.840962,0.626409,0.702722,0.775149,0.814362,0.7779,1.459715,0.700137,0.828317,0.880866,0.886033,0.889015,0.457311,0.759795,1.01628,1.142352,1.945525,0.964463,0.924326,1.234309,1.064883,4.873321,1.155375,0.915169,0.606292,0.745516,0.740107,0.676338,0.652611,0.688155,0.641593,0.609218,0.597657,0.575054,0.53099,0.525267,0.751503,0.55537,0.558479,0.516943,0.62601,0.602668,0.647749,0.677939,0.713166,0.728744,0.744793,0.839552,0.664366,0.540018,0.55587,0.509638,0.491167,0.492484,0.461686,0.463978,0.471997,0.477489,0.485749,0.421664,0.485939,0.529762,0.498959,0.469899,0.605245,0.468501,0.391659,0.584947,0.487029,0.560676,0.558434,0.663616,0.537701,0.517651,0.56181,0.536639,0.596442,0.580765,0.749774,0.632393,0.612208,0.586124,0.595261,0.68348,0.628466,0.651402,0.643643,0.689119,0.663749,0.673264,0.67438,0.679892,0.782518,0.683969,0.741384,0.763127,0.756033,0.804295,0.807015,0.924254,0.857891,1.030166,1.092293,1.030574,1.175728,1.172026,1.161929,1.024135,1.003925,1.041173,1.090546,1.057484,1.029799,1.045605,1.021844,1.04024,0.982924,0.994556,0.973252,1.090605,1.281412,1.121011,0.947621,0.863961,0.906683,0.813064,0.710566],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.222222,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.571429,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.254777,0.0,0.0,0.0,0.0,0.059312,0.041477,0.116686,0.0,0.0,0.0,0.037651,0.250986,0.031939,0.026709,0.025913,0.051989,0.115848,0.071904,0.0,0.028852,0.029643,0.0,0.0,0.022673,0.010645,0.018792,0.026686,0.0,0.0,0.018376,0.143109,0.0,0.18223,0.009627,0.0,0.048713,0.001963,0.006439,0.022301,0.005888,0.109964,0.026067,0.008639,0.02519,0.017065,0.024228,0.026983,0.018805,0.017213,0.008689,0.012439,0.011949,0.012902,0.01933,0.00602,0.017799,0.014036,0.018106,0.016002,0.014612,0.047907,0.01639,0.017958,0.017696,0.022265,0.026631,0.024728,0.027915,0.042747,0.027019,0.046821,0.045527,0.044953,0.026527,0.026973,0.026806,0.034626,0.044819,0.03334,0.026353,0.027495,0.02239,0.046848,0.033585,0.035858,0.033506,0.035588,0.028602,0.026824,0.026119,0.024868,0.035303,0.030391,0.037062,0.044078,0.060375,0.043496,0.04427,0.049464,0.051947,0.052773,0.067022,0.067326,0.077377,0.082022,0.082642,0.08631,0.085038,0.085286,0.083512,0.089967,0.099427,0.102988,0.093834,0.106321,0.100522,0.097817,0.097477,0.107111,0.109514,0.10711,0.107521,0.101038,0.105597,0.11443,0.111819,0.130796,0.115311,0.120199,0.123531,0.1277,0.122518,0.124981,0.123853,0.125164,0.125596,0.122136,0.120286,0.12045,0.118887,0.116393,0.112001,0.108153,0.106288,0.11005,0.098409,0.092554,0.087874,0.084958,0.078187,0.074268],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.225806,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.271003,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.059312,0.082953,0.0,0.03712,0.0,0.0,0.0,0.0,0.031939,0.0,0.051827,0.025994,0.0,0.0,0.081553,0.100981,0.0,0.067358,0.024612,0.068019,0.010645,0.025056,0.053371,0.028709,0.030847,0.067377,0.047703,0.028461,0.033133,0.038508,0.024342,0.036535,0.015702,0.022536,0.066902,0.032386,0.0719,0.104266,0.030235,0.05038,0.064849,0.076146,0.044154,0.048057,0.022951,0.026067,0.024878,0.026289,0.026879,0.017397,0.022361,0.021844,0.02955,0.021003,0.016002,0.02461,0.027171,0.018281,0.026338,0.020914,0.022783,0.021999,0.027743,0.019939,0.022086,0.027019,0.032948,0.033952,0.02452,0.028896,0.028145,0.020499,0.031716,0.01992,0.022521,0.02158,0.021502,0.021203,0.021905,0.022485,0.02348,0.025102,0.029412,0.026147,0.026077,0.027015,0.022502,0.030875,0.031164,0.032023,0.052312,0.073499,0.046973,0.049665,0.053156,0.04984,0.050056,0.053397,0.062195,0.063727,0.05777,0.056646,0.059409,0.057983,0.055812,0.057114,0.059177,0.057614,0.063467,0.05441,0.06159,0.061759,0.05843,0.059001,0.061359,0.063522,0.06832,0.071106,0.071838,0.071089,0.071693,0.08121,0.086051,0.08335,0.087869,0.097527,0.092958,0.099793,0.101131,0.104378,0.112224,0.111796,0.118327,0.12331,0.125349,0.124858,0.127093,0.124555,0.125573,0.133901,0.134362,0.126587,0.123569,0.114131,0.116648,0.105125,0.097961],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.277393,0.0,0.0,0.0,0.0,0.165563,0.0,0.0,0.0,0.038895,0.0,0.0,0.129702,0.075301,0.0,0.159693,0.053419,0.025913,0.103977,0.092678,0.08988,0.016311,0.014426,0.074107,0.026943,0.123062,0.136039,0.127741,0.043849,0.115638,0.051677,0.092541,0.085753,0.434098,0.073998,0.060743,0.139591,0.077893,0.044654,0.054956,0.035414,0.070088,0.070661,0.06767,0.043444,0.043193,0.067173,0.092153,0.034612,0.08095,0.043878,0.087979,0.109481,0.069968,0.056162,0.07956,0.081187,0.117826,0.078478,0.091606,0.089807,0.072011,0.073061,0.047907,0.077537,0.054471,0.048262,0.053333,0.041104,0.039806,0.041873,0.039185,0.022387,0.021676,0.019291,0.02919,0.021317,0.025018,0.024914,0.016586,0.021754,0.021638,0.02241,0.016567,0.019167,0.021585,0.025616,0.018759,0.018226,0.016538,0.016047,0.013287,0.012463,0.014655,0.014181,0.010869,0.01405,0.012946,0.012794,0.010679,0.013489,0.011075,0.013289,0.012514,0.010689,0.013062,0.010614,0.013175,0.014593,0.015035,0.01387,0.019129,0.015595,0.021882,0.021452,0.021741,0.021971,0.02108,0.022346,0.024627,0.024,0.024522,0.021097,0.02607,0.021895,0.022429,0.02317,0.025159,0.027033,0.024466,0.026239,0.027899,0.03169,0.025591,0.032726,0.027556,0.026266,0.024399,0.028971,0.031122,0.025462,0.029479,0.024498,0.024207,0.020558,0.025348,0.023428,0.020006,0.02198,0.018838,0.019439,0.017877,0.020822,0.018397],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.917431,1.818182,0.0,0.0,0.980392,0.0,0.0,0.0,0.0,0.0,0.0,0.934579,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.542005,0.0,0.0,0.0,0.271003,0.0,0.0,0.207469,0.0,0.089127,0.0,0.0,0.097276,0.082781,0.065574,0.118624,0.041477,0.0,0.148478,0.11853,0.0,0.075301,0.0,0.031939,0.053419,0.155481,0.051989,0.02317,0.179759,0.081553,0.115407,0.118571,0.134716,0.073837,0.090693,0.138386,0.081433,0.097847,0.126321,0.129558,0.196006,0.133569,0.199226,0.18223,0.283995,0.170391,0.243566,0.157017,0.170632,0.219822,0.2797,0.274911,0.286732,0.323946,0.272891,0.331069,0.159214,0.277192,0.346845,0.40547,0.382316,0.360725,0.407476,0.390276,0.462958,0.515167,0.505659,0.472067,0.619957,0.46989,0.508348,0.430452,0.471529,0.520169,0.486377,0.490348,0.405831,0.41012,0.397458,0.406811,0.41455,0.467338,0.493082,0.538265,0.483648,0.482771,0.481254,0.454795,0.459198,0.423709,0.427043,0.405904,0.404042,0.415397,0.396475,0.358329,0.359723,0.371995,0.356247,0.377116,0.36395,0.348789,0.316946,0.314418,0.33501,0.331969,0.297845,0.303548,0.285186,0.294892,0.280274,0.277138,0.26953,0.265675,0.260477,0.263263,0.258641,0.251924,0.241513,0.240207,0.235756,0.243577,0.234807,0.219732,0.20188,0.203289,0.211644,0.177812,0.177479,0.175833,0.166886,0.167532,0.162061,0.160785,0.155092,0.143895,0.163438,0.152288,0.143821,0.142243,0.148967,0.141585,0.145942,0.146147,0.141404,0.146114,0.14365,0.144789,0.144381,0.142982,0.145638,0.137907,0.130803,0.135704,0.129156,0.124939,0.129742,0.129806,0.129968,0.130801,0.124369,0.123908],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.012339,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.005888,0.0,0.008689,0.004319,0.004198,0.0,0.0,0.002453,0.004179,0.0,0.003476,0.00311,0.001195,0.0,0.001933,0.00688,0.0089,0.004433,0.009415,0.011638,0.014612,0.00715,0.008195,0.010775,0.01287,0.007249,0.008105,0.006031,0.00997,0.007837,0.016211,0.021676,0.01852,0.014011,0.015158,0.016809,0.011038,0.016586,0.013105,0.018105,0.015355,0.008812,0.011195,0.010713,0.008112,0.007657,0.007203,0.005861,0.00774,0.008056,0.005075,0.005308,0.00736,0.006336,0.007412,0.006077,0.007918,0.005286,0.006501,0.006423,0.0059,0.005721,0.00499,0.005198,0.005841,0.005682,0.0046,0.004746,0.004261,0.003817,0.004437,0.004729,0.004513,0.00475,0.004006,0.004157,0.005061,0.004355,0.004706,0.004042,0.003907,0.003661,0.003381,0.00392,0.00375,0.003596,0.003907,0.003846,0.003709,0.004151,0.004084,0.003871,0.003806,0.004271,0.00404,0.00397,0.00436,0.004293,0.004611,0.004573,0.004717,0.004409,0.004486,0.004342,0.00441,0.004705,0.014476,0.019306,0.018904,0.016219,0.013316,0.011812],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.026709,0.0,0.0,0.02317,0.0,0.065242,0.014426,0.059286,0.0,0.024612,0.011337,0.02129,0.03132,0.0,0.034451,0.012339,0.018376,0.023852,0.017077,0.022088,0.009627,0.014605,0.012178,0.015702,0.028975,0.028672,0.038275,0.025376,0.056478,0.064789,0.058777,0.061436,0.016152,0.063779,0.052236,0.068853,0.05561,0.038871,0.075281,0.032254,0.069589,0.074824,0.089805,0.08939,0.087634,0.083649,0.111514,0.083659,0.105905,0.105351,0.099742,0.106147,0.118102,0.110371,0.134923,0.11328,0.131236,0.156068,0.136581,0.122598,0.155374,0.161445,0.113218,0.135013,0.126594,0.126296,0.113505,0.118087,0.116701,0.120718,0.114986,0.104895,0.104774,0.114299,0.094773,0.113691,0.089775,0.080143,0.099805,0.08628,0.091662,0.082167,0.091901,0.077838,0.091367,0.078338,0.089819,0.08786,0.086712,0.091501,0.083406,0.085663,0.082783,0.086001,0.085828,0.087373,0.090929,0.09905,0.094194,0.096868,0.09013,0.085973,0.086571,0.083997,0.085287,0.0863,0.085587,0.081581,0.092199,0.095273,0.089318,0.090334,0.121395,0.104325,0.102986,0.110662,0.121573,0.112938,0.120717,0.132674,0.13711,0.140386,0.156704,0.16425,0.164842,0.162896,0.175833,0.175349,0.164272,0.158826,0.15481,0.150849,0.152041,0.161575,0.16497,0.165887,0.166041,0.156271],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.010101,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.097276,0.0,0.0,0.0,0.0,0.0,0.0,0.03951,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.010645,0.0,0.008895,0.0,0.0,0.01225,0.014311,0.0,0.011044,0.004813,0.019473,0.056832,0.003925,0.003219,0.003186,0.0,0.004229,0.121644,0.004319,0.020992,0.023892,0.006922,0.004906,0.008358,0.013388,0.017378,0.026432,0.015534,0.009676,0.016431,0.011181,0.01699,0.022902,0.03404,0.036369,0.046913,0.031462,0.013238,0.02095,0.027885,0.036763,0.048051,0.037393,0.056495,0.058421,0.050178,0.078034,0.073306,0.071224,0.077213,0.075836,0.06812,0.064306,0.073912,0.068226,0.054781,0.063097,0.065135,0.060119,0.04682,0.051554,0.055334,0.055998,0.049935,0.049081,0.048059,0.038139,0.056245,0.039508,0.047333,0.040071,0.045382,0.052755,0.050055,0.047093,0.051526,0.053243,0.050853,0.051979,0.056149,0.051535,0.051834,0.052143,0.050117,0.04927,0.051838,0.055374,0.055445,0.058355,0.057178,0.060977,0.062845,0.059241,0.063247,0.059581,0.060679,0.058462,0.064923,0.069758,0.062018,0.068919,0.09387,0.072488,0.071331,0.087514,0.092802,0.098556,0.099972,0.115835,0.109159,0.118081,0.12062,0.121687,0.127367,0.127055,0.126233,0.132947,0.126461,0.122672,0.126055,0.119707,0.118397,0.1279,0.13267,0.133711,0.130806,0.125841],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.639344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.934579,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.207469,0.0,0.0,0.0,0.0,0.097276,0.082781,0.0,0.0,0.041477,0.038895,0.0,0.0,0.043234,0.0,0.07171,0.0,0.026709,0.103654,0.025994,0.0,0.0,0.0,0.0,0.118571,0.026943,0.012306,0.022673,0.053225,0.200451,0.035581,0.045935,0.012339,0.049002,0.019081,0.028461,0.022088,0.081829,0.038946,0.105545,0.041217,0.067609,0.028672,0.076549,0.016918,0.086889,0.034554,0.046182,0.047783,0.023074,0.078497,0.058504,0.061203,0.078201,0.091736,0.071697,0.064508,0.10535,0.079124,0.091423,0.087912,0.11081,0.134566,0.113821,0.111546,0.068712,0.082605,0.108858,0.117021,0.103629,0.145955,0.145558,0.175976,0.205345,0.16734,0.156644,0.19499,0.181901,0.171999,0.141601,0.127156,0.152542,0.114814,0.117032,0.101872,0.104488,0.105208,0.092644,0.087796,0.094187,0.087818,0.080425,0.091268,0.078879,0.080663,0.108361,0.082107,0.090741,0.085954,0.101982,0.089297,0.093155,0.095776,0.112407,0.108786,0.112738,0.117692,0.118557,0.124234,0.119231,0.12597,0.121941,0.118408,0.127159,0.140461,0.149883,0.131705,0.132251,0.126993,0.136194,0.131845,0.137066,0.126694,0.134388,0.123737,0.141077,0.117413,0.118121,0.1047,0.114236,0.11191,0.104617,0.109377,0.115843,0.113053,0.111201,0.111424,0.113197,0.120309,0.132496,0.124365,0.140672,0.132254,0.137843,0.134536,0.130966,0.130037,0.129141,0.131251,0.142706,0.144559,0.146513,0.148416,0.149613,0.153331],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.754386,0.0,0.0,0.0,0.0,1.5625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.347826,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.545455,10.0,0.0,0.0,0.0,3.030303,0.0,0.671141,0.0,0.0,3.030303,2.040816,2.752294,0.0,1.06383,5.940594,3.921569,0.680272,0.0,8.275862,1.801802,1.754386,0.961538,0.0,2.631579,0.52356,5.109489,1.142857,2.222222,1.102941,2.262443,0.540541,1.639344,0.0,2.564103,0.829876,2.168022,0.423729,1.481481,2.439024,1.626016,2.304147,0.21978,2.074689,1.10957,0.623886,0.764331,1.320423,1.264591,0.496689,1.442623,1.008304,0.539195,0.777907,0.890869,1.145792,0.99438,1.016566,0.824668,0.95816,1.282051,1.140192,1.09176,1.714551,1.132482,1.043875,0.76457,0.859641,0.956487,1.058331,0.96361,1.213541,1.327988,1.200854,1.217271,0.950089,0.973907,1.202118,0.979053,1.192777,0.933815,0.842218,1.018917,0.781158,1.142912,1.404951,1.525099,1.125021,0.947085,1.295784,0.856459,1.228711,0.962204,1.42766,1.324697,1.472698,1.126095,1.208116,1.24752,1.153627,1.195573,1.209223,1.093033,1.040174,1.009604,1.00379,0.979012,0.879495,0.804372,0.878122,0.826894,0.905099,0.897923,0.753898,0.83546,0.827871,0.861523,0.838434,0.781678,0.767699,0.760289,0.681743,0.696021,0.621234,0.651841,0.642298,0.657994,0.601189,0.568577,0.553223,0.54462,0.494999,0.496038,0.454893,0.434029,0.410251,0.390293,0.411103,0.416811,0.37927,0.40647,0.400705,0.431426,0.361376,0.385134,0.385686,0.394957,0.373122,0.406337,0.420626,0.448456,0.454647,0.46855,0.448632,0.487957,0.48233,0.481161,0.500666,0.497076,0.518551,0.52195,0.511081,0.540686,0.552021,0.54674,0.578014,0.577551,0.594868,0.60975,0.652097,0.646209,0.657738,0.694784,0.699515,0.659637,0.692388,0.712303,0.699652,0.716084,0.737674,0.759652,0.772848,0.776487,0.762708,0.786084,0.8072,0.809182,0.820091,0.808447,0.805361,0.788254,0.810739,0.865112,0.872091,0.867026,0.858658,0.818585,0.812874],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.671141,0.0,0.0,0.0,0.0,0.0,1.818182,0.0,0.0,0.0,0.0,0.0,0.0,0.45045,0.0,0.0,0.0,1.315789,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.414938,0.0,0.0,0.0,0.0,0.542005,0.0,0.0,0.0,0.138696,0.089127,0.254777,0.0,0.0,0.0,0.131148,0.0,0.0,0.0,0.03712,0.07902,0.0,0.075301,0.07171,0.031939,0.026709,0.129567,0.077983,0.046339,0.0,0.032621,0.043278,0.014821,0.0,0.036919,0.056683,0.010645,0.037585,0.097847,0.051677,0.061694,0.018376,0.023852,0.073998,0.016566,0.067389,0.102235,0.085248,0.056919,0.05795,0.073274,0.03533,0.029606,0.0782,0.051831,0.041983,0.061436,0.019613,0.05642,0.062683,0.082242,0.088628,0.037316,0.084841,0.069884,0.069589,0.128147,0.110841,0.084957,0.07677,0.061828,0.05691,0.060063,0.04917,0.059858,0.070785,0.066277,0.063682,0.059106,0.069788,0.052722,0.064846,0.048555,0.038582,0.037947,0.042159,0.040263,0.060236,0.046265,0.065525,0.065135,0.057271,0.047059,0.05394,0.064436,0.041412,0.044536,0.042892,0.032447,0.034926,0.039613,0.036044,0.030061,0.030636,0.029464,0.029359,0.024879,0.024157,0.028666,0.028896,0.027103,0.02478,0.031115,0.027224,0.030986,0.031215,0.031726,0.030561,0.03033,0.034713,0.035832,0.038658,0.040949,0.041499,0.03939,0.036304,0.035852,0.037521,0.033522,0.030904,0.031789,0.02825,0.031652,0.029104,0.031906,0.025272,0.026195,0.040858,0.028534,0.026762,0.0266,0.028821,0.025203,0.028418,0.030616,0.030365,0.028505,0.030668,0.02953,0.031726,0.030178,0.029619,0.031182,0.029294,0.029661,0.029695,0.029154,0.029047,0.032291,0.032767,0.034217,0.034781,0.033838],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.367647,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.542005,0.0,0.230415,0.07326,0.0,0.0,0.26738,0.254777,0.0,0.097276,0.0,0.0,0.118624,0.331813,0.038895,0.0,0.0,0.086468,0.112952,0.107565,0.0,0.053419,0.103654,0.051989,0.185357,0.071904,0.065242,0.072129,0.192678,0.08083,0.073837,0.079356,0.170321,0.062641,0.160114,0.06316,0.049355,0.067377,0.076325,0.142304,0.038655,0.168472,0.170391,0.101486,0.064769,0.12234,0.124247,0.114824,0.076129,0.108611,0.129578,0.184726,0.242329,0.10845,0.164353,0.202674,0.118581,0.159878,0.15082,0.173267,0.135468,0.14691,0.147068,0.141585,0.183212,0.172371,0.162207,0.162271,0.165888,0.139315,0.132886,0.123337,0.144464,0.155154,0.149573,0.188095,0.183813,0.223873,0.204623,0.188282,0.207833,0.1549,0.150499,0.147278,0.11319,0.137864,0.126296,0.130105,0.103106,0.130779,0.121197,0.116836,0.103236,0.11416,0.094516,0.094584,0.082715,0.08776,0.076739,0.088735,0.084219,0.091274,0.08657,0.091754,0.085466,0.088767,0.091694,0.088049,0.079055,0.088669,0.082897,0.090357,0.091116,0.084069,0.086619,0.089359,0.095263,0.09597,0.100864,0.09952,0.09678,0.097991,0.098731,0.093707,0.096146,0.093089,0.092994,0.096545,0.099312,0.102146,0.094444,0.1043,0.102583,0.117741,0.107729,0.106774,0.113606,0.114248,0.118899,0.125053,0.126886,0.13215,0.13621,0.136143,0.134256,0.134517,0.132693,0.133435,0.135689,0.132095,0.128629,0.118937,0.120238,0.134024,0.127047,0.12046,0.116195,0.117086,0.112479],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.540541,0.0,0.45045,0.42735,0.414938,0.0,0.0,0.246914,0.271003,0.0,0.0,0.07326,0.207469,0.138696,0.0,0.0,0.088028,0.097276,0.082781,0.065574,0.118624,0.0,0.077791,0.185598,0.03951,0.0,0.0,0.035855,0.031939,0.026709,0.07774,0.025994,0.162187,0.071904,0.016311,0.014426,0.044464,0.040415,0.110756,0.113366,0.031935,0.068905,0.080057,0.034451,0.030847,0.024501,0.085866,0.045537,0.027611,0.024067,0.014605,0.036535,0.017664,0.016097,0.041416,0.017665,0.012688,0.056478,0.030235,0.02519,0.037544,0.017306,0.029436,0.031341,0.042077,0.034756,0.038871,0.031069,0.030104,0.031895,0.028381,0.035598,0.044326,0.043455,0.038551,0.053065,0.030032,0.042236,0.035915,0.037001,0.032621,0.038209,0.033775,0.044531,0.037048,0.036283,0.058959,0.050929,0.062467,0.041686,0.038309,0.037529,0.036372,0.044033,0.035107,0.036521,0.036836,0.034264,0.036935,0.036431,0.035986,0.038963,0.032238,0.031528,0.035793,0.037985,0.035023,0.032849,0.031473,0.033041,0.030295,0.040397,0.030014,0.031626,0.031725,0.033096,0.031115,0.033829,0.034503,0.033706,0.034929,0.032183,0.033419,0.033744,0.033916,0.035206,0.035181,0.035826,0.035858,0.03889,0.034673,0.037113,0.040351,0.036367,0.040196,0.041321,0.045076,0.042426,0.043837,0.043906,0.043184,0.043756,0.043826,0.043516,0.046915,0.048506,0.051169,0.053585,0.053742,0.054785,0.060373,0.063746,0.066889,0.06652,0.071936,0.071471,0.073,0.069383,0.069073,0.069099,0.073262,0.076938,0.081337,0.085967,0.093467,0.096828,0.097673],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.025994,0.0,0.0,0.0,0.0,0.0,0.040415,0.0,0.022673,0.010645,0.0,0.0,0.0,0.0,0.0,0.00477,0.011384,0.0,0.009627,0.009737,0.012178,0.007851,0.0,0.0,0.0,0.012688,0.004344,0.038874,0.016793,0.003413,0.003461,0.007359,0.002089,0.009563,0.005213,0.007774,0.008365,0.008601,0.007732,0.00688,0.0089,0.00591,0.010864,0.004364,0.009229,0.010011,0.011977,0.004789,0.012334,0.012945,0.011579,0.0193,0.017281,0.018524,0.016983,0.022543,0.026236,0.016346,0.015158,0.016809,0.02113,0.018913,0.025162,0.023184,0.01826,0.019387,0.023238,0.016629,0.013662,0.014803,0.011896,0.00963,0.008968,0.009301,0.010597,0.007501,0.009514,0.010405,0.009835,0.01026,0.011327,0.009898,0.009101,0.010835,0.011322,0.01045,0.011839,0.010866,0.010761,0.009647,0.009835,0.00946,0.010771,0.01053,0.009884,0.010459,0.010175,0.010004,0.01085,0.010039,0.010331,0.010542,0.011655,0.010251,0.009532,0.010103,0.009466,0.009851,0.008773,0.008179,0.00866,0.008213,0.008528,0.008133,0.008752,0.008377,0.00828,0.008272,0.00843,0.008323,0.008623,0.00832,0.009126,0.00893,0.008897,0.00902,0.008564,0.008257,0.007911,0.008375,0.008189,0.008164,0.007728,0.008112,0.008207,0.008002],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.030303,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.512821,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.07326,0.0,0.0,0.0,0.0,0.0,0.097276,0.0,0.065574,0.0,0.082953,0.0,0.03712,0.0,0.086468,0.112952,0.035855,0.0,0.026709,0.025913,0.025994,0.02317,0.0,0.016311,0.014426,0.0,0.040415,0.0,0.045346,0.063871,0.050113,0.026686,0.011484,0.012339,0.018376,0.014311,0.011384,0.016566,0.01444,0.019473,0.012178,0.013739,0.019317,0.012743,0.014721,0.008459,0.013033,0.017277,0.008397,0.010239,0.004615,0.004906,0.012537,0.009563,0.020854,0.012439,0.014339,0.009676,0.016431,0.015481,0.010518,0.004433,0.015933,0.012366,0.014612,0.012156,0.018912,0.00838,0.013942,0.00932,0.012158,0.012062,0.011964,0.012112,0.006948,0.01474,0.027008,0.014011,0.017053,0.016027,0.011984,0.018913,0.011008,0.016118,0.014525,0.0141,0.014927,0.013431,0.010816,0.012889,0.010914,0.010048,0.009817,0.009301,0.008806,0.007097,0.009155,0.008396,0.007461,0.007001,0.007442,0.006244,0.006436,0.006273,0.006574,0.006479,0.005919,0.006363,0.00559,0.005777,0.005446,0.004372,0.004961,0.004882,0.004319,0.003916,0.004177,0.00408,0.003905,0.004407,0.004731,0.004933,0.004328,0.003718,0.003696,0.003221,0.002934,0.002653,0.002604,0.002435,0.002819,0.002482,0.003026,0.002653,0.002892,0.00302,0.002805,0.002518,0.0024,0.002236,0.002051,0.001824,0.00175,0.001727,0.001542,0.001437,0.001333,0.001248,0.001087,0.001447,0.001007,0.000895,0.000745,0.000656,0.000532,0.000482],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.246914,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.03712,0.07902,0.0,0.0,0.035855,0.0,0.0,0.0,0.025994,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.008895,0.005742,0.006169,0.0,0.009541,0.0,0.0,0.028881,0.004868,0.004059,0.009814,0.0,0.006372,0.020609,0.012688,0.017378,0.008639,0.020992,0.020479,0.008076,0.031889,0.025073,0.019126,0.008689,0.013994,0.013144,0.006451,0.014498,0.015481,0.011327,0.012559,0.010864,0.016002,0.009998,0.010726,0.013238,0.017359,0.018769,0.023301,0.014473,0.034378,0.035226,0.037048,0.057898,0.065896,0.068677,0.043785,0.048317,0.034009,0.034691,0.032007,0.020968,0.021859,0.022618,0.023089,0.023069,0.023024,0.023481,0.021311,0.022046,0.01905,0.018218,0.018021,0.016567,0.015175,0.017173,0.01705,0.015745,0.015104,0.017009,0.014759,0.015212,0.017679,0.015199,0.016981,0.017881,0.017633,0.017418,0.018341,0.019105,0.020594,0.023822,0.021953,0.025059,0.026261,0.029631,0.030582,0.030718,0.029357,0.033441,0.03324,0.035179,0.034751,0.0359,0.036737,0.039378,0.03881,0.0378,0.038582,0.042866,0.04321,0.038155,0.039994,0.042737,0.042611,0.045408,0.047007,0.048246,0.049048,0.052628,0.053016,0.051988,0.054958,0.056675,0.058821,0.055458,0.054568,0.054578,0.055532,0.059638,0.061331,0.06362,0.065554,0.060013,0.056979],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.013423,0.0,0.0,0.0,0.0,0.917431,0.0,0.0,0.0,0.0,0.680272,0.0,0.0,0.45045,0.877193,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.452489,0.0,0.0,0.0,0.0,0.414938,0.271003,0.423729,0.0,0.0,0.271003,0.230415,0.07326,0.0,0.138696,0.0,0.127389,0.0,0.291829,0.165563,0.327869,0.118624,0.0,0.038895,0.222717,0.11853,0.216169,0.075301,0.215131,0.127755,0.133547,0.025913,0.077983,0.139018,0.125831,0.114174,0.144259,0.088928,0.094301,0.147674,0.056683,0.532255,0.037585,0.169009,0.120579,0.111049,0.122504,0.14788,0.085383,0.121487,0.129964,0.141181,0.113664,0.117763,0.144876,0.213451,0.262034,0.080359,0.156399,0.224603,0.15114,0.269634,0.110757,0.252662,0.225658,0.216123,0.212012,0.254995,0.240184,0.201051,0.216498,0.256293,0.197409,0.182474,0.201341,0.168026,0.186881,0.178759,0.165161,0.14785,0.154439,0.1688,0.159785,0.14897,0.138246,0.139641,0.162887,0.136126,0.12192,0.131939,0.121741,0.149327,0.123625,0.126284,0.157522,0.136452,0.115165,0.10716,0.101604,0.097374,0.09364,0.094304,0.105101,0.095668,0.090902,0.087531,0.084626,0.096818,0.092864,0.076647,0.082214,0.07292,0.077055,0.070459,0.069655,0.071104,0.072597,0.067508,0.083312,0.074989,0.079659,0.07941,0.078606,0.075354,0.086796,0.080547,0.081819,0.083474,0.080284,0.079866,0.080166,0.084025,0.080207,0.080887,0.07756,0.074425,0.075728,0.072464,0.071828,0.07017,0.068465,0.065823,0.066092,0.066116,0.060088,0.063497,0.065389,0.063403,0.060601,0.064471,0.062322,0.059185,0.060412,0.059523,0.060053,0.061386,0.059487,0.05882,0.05786,0.054699,0.052161,0.052021,0.05288,0.048964,0.046934,0.045021,0.044788,0.044661],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.990099,0.0,0.0,0.0,0.0,0.45045,0.877193,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.655738,0.0,0.42735,0.414938,1.084011,0.423729,0.0,0.0,0.271003,0.460829,0.0,0.622407,0.138696,0.26738,0.254777,0.352113,0.194553,0.165563,0.590164,0.59312,0.290336,0.0,0.408315,0.395101,0.518807,0.225904,0.179276,0.191632,0.400641,0.492356,0.415909,0.324374,0.377494,0.244658,0.216388,0.192678,0.296376,0.516859,0.39678,0.447094,0.225507,0.311333,0.511024,0.376334,0.441014,0.31007,0.426913,0.39207,0.336943,0.457621,0.369408,0.359176,0.338044,0.465131,0.51818,0.342582,0.386654,0.380097,0.432428,0.443701,0.269971,0.588726,0.486837,0.436072,0.424023,0.426028,0.553259,0.45801,0.453293,0.473025,0.408573,0.474284,0.336052,0.4197,0.329926,0.253838,0.311411,0.278341,0.237558,0.234042,0.246625,0.246675,0.218669,0.236535,0.237768,0.110982,0.11729,0.112674,0.12032,0.136036,0.127725,0.116099,0.129215,0.135348,0.12388,0.108217,0.125352,0.095135,0.104171,0.093538,0.104555,0.077246,0.074289,0.063863,0.056641,0.046909,0.05445,0.049759,0.053243,0.050683,0.041277,0.031433,0.037249,0.031125,0.032618,0.026256,0.027934,0.025945,0.025771,0.02408,0.026067,0.024528,0.02415,0.023514,0.02607,0.02596,0.025918,0.024615,0.025494,0.027677,0.028553,0.028452,0.040547,0.032554,0.032477,0.036656,0.0443,0.042484,0.042872,0.044729,0.050449,0.053034,0.049424,0.059404,0.061435,0.066606,0.070939,0.077287,0.084584,0.083961,0.088092,0.095801,0.095739,0.102441,0.104311,0.107033,0.107203,0.107665,0.108916,0.106858,0.108789,0.109251,0.115337,0.1139,0.109283,0.106705],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.089127,0.0,0.0,0.0,0.0,0.0,0.059312,0.0,0.0,0.0,0.03951,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02129,0.093961,0.01779,0.017226,0.0,0.036751,0.028622,0.005692,0.016566,0.024067,0.004868,0.012178,0.015702,0.041853,0.031858,0.044163,0.033835,0.034755,0.034554,0.016793,0.023892,0.032304,0.014718,0.020894,0.022951,0.026067,0.010884,0.017924,0.045156,0.021263,0.018921,0.016181,0.022902,0.0239,0.035642,0.025379,0.041472,0.030889,0.025739,0.046654,0.035728,0.041104,0.041615,0.039879,0.042035,0.065618,0.054624,0.064818,0.05371,0.061581,0.057854,0.056136,0.056158,0.045343,0.045484,0.044406,0.050055,0.051905,0.04333,0.044543,0.04645,0.045074,0.050137,0.041911,0.041773,0.048358,0.040504,0.050142,0.039663,0.040308,0.036856,0.04212,0.034236,0.039004,0.04136,0.040794,0.035739,0.038207,0.036004,0.036825,0.037941,0.041471,0.042196,0.044113,0.042927,0.046521,0.045015,0.049064,0.048593,0.051361,0.045381,0.05129,0.051504,0.052491,0.05249,0.055095,0.059008,0.056947,0.055773,0.050367,0.051269,0.055008,0.057677,0.053268,0.05313,0.054159,0.05829,0.055777,0.057436,0.058876,0.058496,0.064665,0.063713,0.066566,0.065467,0.065099,0.067972,0.06693,0.06713,0.069073,0.070572,0.073954,0.077662,0.081978,0.081096,0.082824,0.086542],[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.680272,1.025641,0.0,0.45045,0.0,0.961538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.42735,0.0,0.0,0.0,0.0,0.271003,0.0,0.0,0.0,0.0,0.277393,0.0,0.0,0.088028,0.194553,0.082781,0.065574,0.118624,0.041477,0.038895,0.074239,0.11853,0.172936,0.188253,0.07171,0.063877,0.213675,0.259134,0.18196,0.115848,0.197735,0.097863,0.100981,0.133393,0.16166,0.073837,0.068019,0.095806,0.100226,0.142323,0.298576,0.172744,0.147005,0.124028,0.13092,0.082832,0.120337,0.126576,0.166437,0.090285,0.112681,0.133805,0.153099,0.148029,0.178121,0.133898,0.096562,0.119458,0.063455,0.149634,0.154618,0.185522,0.180731,0.178807,0.186411,0.177398,0.197168,0.211571,0.191746,0.1906,0.203514,0.210214,0.210722,0.249548,0.210549,0.177779,0.171599,0.206081,0.169627,0.168873,0.180119,0.186663,0.186046,0.146531,0.161274,0.150037,0.132162,0.141509,0.158,0.139377,0.143368,0.166922,0.156043,0.126547,0.137564,0.143902,0.144445,0.133735,0.119289,0.118067,0.115634,0.107213,0.104028,0.104838,0.09789,0.102454,0.105324,0.096522,0.105501,0.085359,0.087174,0.087012,0.092881,0.083967,0.099236,0.087468,0.095905,0.090392,0.095772,0.103377,0.093322,0.091105,0.09765,0.093095,0.09199,0.093007,0.092606,0.099242,0.093169,0.093639,0.086059,0.090342,0.088676,0.087734,0.087013,0.087952,0.086324,0.089963,0.096969,0.084229,0.081581,0.081121,0.084277,0.07913,0.085071,0.08377,0.08728,0.087446,0.086296,0.085266,0.088476,0.090627,0.092096,0.093689,0.090297,0.090572,0.093104,0.092001,0.096658,0.097709,0.097977,0.097993,0.098943,0.097692]],"stack":{"mix":{"record":0.125,"trend":0.875},"alpha":[0.1424,0.2306,0.3058,0.3252,0.3637,0.4134,0.4658,0.5297,0.5354,0.5371,0.5376,0.5408,0.5355,0.5415,0.5614,0.5561,0.5469,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],"trend_phi":0.85,"trend_window":15},"record_pred":[[0.100475,0.101013,0.100552,0.102545,0.10396,0.10601,0.108637,0.109339,0.112664,0.112241,0.114419,0.112531,0.113198,0.110596,0.111054,0.109005,0.109473,0.10765,0.107623,0.105898,0.10506,0.103701,0.101249,0.100934,0.097986,0.09855,0.09671,0.098428,0.097486,0.099444],[0.31501,0.319218,0.324755,0.330054,0.334467,0.337253,0.338336,0.337457,0.334798,0.330587,0.325413,0.320178,0.31572,0.312351,0.309531,0.307061,0.304981,0.303607,0.302939,0.303058,0.303592,0.30431,0.3048,0.305027,0.304801,0.303363,0.299685,0.293212,0.284326,0.27368],[0.417789,0.433356,0.451099,0.467587,0.477195,0.480337,0.474073,0.461594,0.442308,0.419628,0.395398,0.3732,0.356495,0.346558,0.34235,0.340687,0.341559,0.343177,0.34678,0.35015,0.354513,0.356772,0.358854,0.359121,0.360518,0.36164,0.360388,0.35417,0.342767,0.327914],[0.149719,0.151699,0.149428,0.152338,0.150596,0.153388,0.151666,0.151772,0.151094,0.14899,0.148284,0.144632,0.143626,0.139257,0.138975,0.135533,0.137082,0.135255,0.138764,0.13844,0.14336,0.144075,0.148173,0.150283,0.152228,0.155031,0.155459,0.158348,0.157804,0.160702],[0.681301,0.664842,0.653997,0.640171,0.634041,0.623842,0.623432,0.6194,0.622965,0.625623,0.633012,0.641679,0.652821,0.666641,0.681006,0.699304,0.716051,0.73774,0.75555,0.778899,0.795271,0.818605,0.833245,0.853959,0.867225,0.882665,0.894453,0.906632,0.918397,0.929908],[0.42943,0.422225,0.426181,0.42014,0.427819,0.424716,0.43391,0.435687,0.439996,0.443287,0.442487,0.444025,0.43725,0.435718,0.426469,0.42803,0.422239,0.428933,0.426191,0.436304,0.434806,0.445807,0.446051,0.451138,0.450218,0.445801,0.443641,0.437272,0.437583,0.431219],[0.032781,0.032965,0.032604,0.0331,0.033104,0.033793,0.034029,0.034448,0.034939,0.035059,0.035457,0.03519,0.035284,0.034676,0.034741,0.034283,0.034625,0.034384,0.034894,0.034745,0.035249,0.035077,0.035168,0.034983,0.034497,0.034229,0.03356,0.033453,0.032854,0.032872],[0.003444,0.003468,0.003487,0.003517,0.003534,0.003559,0.003567,0.003578,0.003578,0.003575,0.003568,0.003557,0.003549,0.003538,0.003535,0.003528,0.003533,0.003532,0.003544,0.003548,0.003564,0.003567,0.003576,0.003574,0.00357,0.003558,0.003537,0.00351,0.00347,0.003428],[0.257186,0.25522,0.251879,0.248291,0.247293,0.24485,0.24903,0.248798,0.25685,0.259161,0.267727,0.27055,0.27641,0.274907,0.273312,0.266793,0.261498,0.255378,0.250689,0.248163,0.245856,0.249074,0.249609,0.259272,0.263067,0.272633,0.275139,0.282491,0.285341,0.292574],[2.006668,2.014598,2.012725,2.038619,2.056038,2.093488,2.121006,2.151489,2.18369,2.201586,2.224323,2.223515,2.228873,2.211976,2.214195,2.203647,2.216981,2.21593,2.236335,2.239641,2.260021,2.261972,2.267816,2.264551,2.247976,2.236533,2.212687,2.20577,2.184455,2.180723],[0.164166,0.169661,0.167528,0.173814,0.173183,0.178665,0.1794,0.180202,0.183729,0.181307,0.184335,0.17894,0.180128,0.172824,0.174171,0.168201,0.171308,0.166824,0.170647,0.166928,0.170191,0.166922,0.165828,0.164459,0.159151,0.158718,0.152411,0.15324,0.14712,0.148186],[0.002966,0.002958,0.002914,0.002943,0.002889,0.00295,0.00287,0.002929,0.002856,0.002894,0.002848,0.00287,0.002853,0.002877,0.002895,0.002911,0.002937,0.002922,0.00295,0.002904,0.002946,0.002869,0.002928,0.00284,0.00289,0.002855,0.002914,0.002914,0.002955,0.002964],[0.175824,0.176685,0.169979,0.178871,0.170132,0.184147,0.169681,0.181452,0.16857,0.175239,0.167922,0.172392,0.172102,0.179265,0.188226,0.195435,0.207198,0.208591,0.221165,0.216014,0.231501,0.219732,0.23819,0.225125,0.242372,0.243598,0.264794,0.275016,0.292898,0.30543],[0.236341,0.240513,0.226043,0.233545,0.218461,0.232685,0.217956,0.230486,0.224433,0.233504,0.235478,0.241121,0.246035,0.245559,0.25113,0.245797,0.253659,0.245246,0.256671,0.246038,0.262636,0.250146,0.268512,0.259349,0.271808,0.272497,0.282548,0.291908,0.302384,0.32015],[0.183329,0.204252,0.163605,0.199508,0.146938,0.217745,0.148068,0.218552,0.165503,0.216381,0.192477,0.224368,0.212224,0.211503,0.201921,0.177042,0.18229,0.147243,0.173472,0.131104,0.186152,0.129983,0.206624,0.142551,0.194022,0.155334,0.18444,0.168453,0.188373,0.198553],[0.039939,0.043337,0.038793,0.044733,0.038089,0.04667,0.03695,0.043203,0.035533,0.038321,0.034286,0.035236,0.034123,0.034216,0.035973,0.035086,0.038974,0.03644,0.04244,0.037967,0.04678,0.039564,0.049517,0.041549,0.048058,0.044952,0.049651,0.049676,0.052255,0.054676],[0.016942,0.016847,0.017023,0.016968,0.017147,0.017167,0.017273,0.01741,0.017348,0.017495,0.017348,0.017455,0.017243,0.017327,0.017141,0.017283,0.017159,0.017321,0.017217,0.017349,0.017251,0.017299,0.017276,0.01712,0.017101,0.016834,0.016852,0.016614,0.016675,0.016448],[0.149949,0.148972,0.139012,0.140349,0.131545,0.13614,0.129214,0.133345,0.13214,0.135907,0.139523,0.143185,0.149474,0.152041,0.159969,0.161456,0.170899,0.171222,0.182115,0.181091,0.193425,0.191061,0.202376,0.201833,0.209227,0.213541,0.219659,0.228198,0.234575,0.247475],[0.200649,0.201285,0.187313,0.19006,0.177409,0.188449,0.178976,0.192234,0.191469,0.204338,0.210913,0.221042,0.227772,0.228782,0.231885,0.226684,0.23141,0.224336,0.232957,0.22498,0.238981,0.230232,0.246923,0.240219,0.250797,0.249068,0.255566,0.260932,0.269581,0.283938],[0.022939,0.022718,0.022597,0.022604,0.022592,0.02281,0.022805,0.023127,0.023093,0.023353,0.023285,0.023412,0.023276,0.023311,0.023193,0.023169,0.023034,0.022933,0.022846,0.022746,0.022804,0.022771,0.0231,0.023177,0.023705,0.024082,0.024869,0.025489,0.026344,0.027026],[0.03781,0.038148,0.037955,0.038271,0.038315,0.038263,0.038575,0.037999,0.038581,0.03785,0.038291,0.037473,0.037782,0.037121,0.037607,0.037331,0.037937,0.03788,0.038389,0.038443,0.038634,0.038821,0.03836,0.038862,0.038138,0.038731,0.038163,0.038818,0.038299,0.038763],[0.325454,0.34141,0.328575,0.350723,0.327949,0.360291,0.324677,0.350111,0.319572,0.332375,0.314924,0.320385,0.312735,0.311998,0.313454,0.309264,0.321775,0.315124,0.339289,0.327996,0.364822,0.343146,0.384819,0.355485,0.379446,0.359617,0.369376,0.3573,0.358655,0.356438],[0.058093,0.060292,0.055537,0.058687,0.05355,0.058496,0.053209,0.056821,0.054367,0.056329,0.056369,0.056953,0.05793,0.056543,0.057923,0.055301,0.057777,0.054516,0.058306,0.054457,0.059786,0.05519,0.060359,0.056595,0.05903,0.057911,0.058848,0.059936,0.060521,0.063816],[0.063011,0.063365,0.063991,0.064677,0.065503,0.065702,0.06632,0.065902,0.066158,0.065385,0.065188,0.064273,0.064067,0.063806,0.064405,0.064962,0.065785,0.066418,0.066917,0.067322,0.067221,0.067373,0.066638,0.066731,0.066062,0.066634,0.066901,0.068051,0.068686,0.069804],[0.066769,0.067756,0.06772,0.068226,0.067975,0.067634,0.067274,0.065987,0.065792,0.064242,0.064003,0.062462,0.062331,0.061355,0.062065,0.062164,0.063564,0.064164,0.065526,0.066079,0.0668,0.067007,0.066384,0.0663,0.064708,0.064371,0.062782,0.062523,0.060913,0.060303],[0.324087,0.324418,0.318725,0.317239,0.311352,0.30836,0.305705,0.301635,0.304271,0.301777,0.307603,0.307877,0.316292,0.316593,0.321032,0.315856,0.315539,0.30899,0.308666,0.304922,0.306921,0.308862,0.313091,0.32436,0.332628,0.347966,0.353893,0.365364,0.367921,0.37799],[0.143044,0.141143,0.138759,0.13656,0.134106,0.131825,0.129733,0.127696,0.126387,0.125079,0.124698,0.124365,0.124967,0.125596,0.127039,0.128421,0.130487,0.132482,0.135025,0.137478,0.140274,0.143106,0.145973,0.149293,0.152342,0.156009,0.15928,0.1632,0.166794,0.171077],[0.299169,0.295648,0.295728,0.294354,0.296265,0.294943,0.298138,0.297901,0.301321,0.302344,0.30529,0.307278,0.310815,0.315164,0.319502,0.323516,0.324692,0.325595,0.322805,0.321358,0.316014,0.314187,0.3087,0.308451,0.307,0.310249,0.313276,0.317631,0.320725,0.322685],[0.607943,0.608242,0.615892,0.615628,0.621892,0.6164,0.619231,0.611311,0.608789,0.601115,0.596448,0.592558,0.591839,0.596579,0.602506,0.614589,0.623987,0.639726,0.648673,0.663867,0.667293,0.676755,0.671123,0.669495,0.656026,0.641556,0.619667,0.593776,0.56495,0.532874],[1.326016,1.33519,1.360827,1.367585,1.385512,1.382623,1.387373,1.379106,1.365445,1.350747,1.32644,1.310712,1.286918,1.277001,1.254972,1.245807,1.223546,1.217844,1.200763,1.202514,1.193278,1.201913,1.203663,1.213346,1.224751,1.230234,1.236816,1.226441,1.21839,1.192543],[0.241429,0.243394,0.237286,0.235061,0.229479,0.223998,0.223663,0.216235,0.222797,0.217952,0.227554,0.22599,0.237052,0.235235,0.241562,0.235801,0.237828,0.232081,0.23308,0.230254,0.230995,0.233736,0.232725,0.244846,0.245705,0.259893,0.258808,0.270363,0.269392,0.281859],[0.053961,0.051589,0.055252,0.052648,0.056453,0.052976,0.056292,0.054305,0.054873,0.054134,0.052979,0.053432,0.052132,0.054366,0.053191,0.05629,0.054406,0.057861,0.055254,0.059008,0.055636,0.059485,0.056926,0.059243,0.058757,0.058722,0.05878,0.056458,0.055981,0.051912],[0.170029,0.168523,0.172616,0.176005,0.182337,0.189649,0.194408,0.203766,0.204375,0.211365,0.208502,0.211356,0.205276,0.205422,0.199385,0.199084,0.193399,0.191571,0.185772,0.182184,0.17716,0.171633,0.169198,0.160757,0.159408,0.152347,0.153779,0.149985,0.153039,0.150656],[1.965564,1.962927,1.967949,1.964787,1.966365,1.965912,1.962755,1.966573,1.956948,1.959635,1.947149,1.94718,1.932031,1.92651,1.904853,1.891118,1.864679,1.846161,1.819119,1.798819,1.775035,1.753827,1.737896,1.713797,1.701784,1.676196,1.662112,1.634204,1.617961,1.590252],[9.056024,8.95384,8.846917,8.634774,8.420625,8.141554,7.875709,7.608134,7.335867,7.113703,6.889031,6.739417,6.58884,6.501568,6.374365,6.281138,6.140508,6.036562,5.893591,5.793071,5.667071,5.582361,5.501995,5.44218,5.421748,5.386015,5.37578,5.322054,5.297355,5.229635],[0.076527,0.077806,0.078271,0.07973,0.080365,0.081764,0.082923,0.084062,0.086026,0.08713,0.08936,0.090517,0.092867,0.093518,0.094502,0.093225,0.092351,0.089724,0.087849,0.084786,0.082592,0.079809,0.077465,0.07584,0.073955,0.072943,0.070618,0.068999,0.066229,0.064581],[0.151212,0.155326,0.156662,0.15667,0.155488,0.154116,0.153691,0.152895,0.154459,0.155378,0.158852,0.161724,0.165988,0.166943,0.165975,0.161267,0.156155,0.149764,0.144207,0.138718,0.134292,0.131034,0.128435,0.128301,0.127304,0.126631,0.12282,0.119293,0.11456,0.111679],[0.015087,0.015234,0.015495,0.015643,0.01583,0.015806,0.015837,0.015667,0.015536,0.015294,0.01509,0.014894,0.014792,0.014807,0.014892,0.015065,0.015215,0.015431,0.015557,0.015747,0.01578,0.015872,0.015759,0.015709,0.01552,0.015357,0.01509,0.014759,0.014342,0.013854],[0.14529,0.145986,0.146932,0.149451,0.151815,0.153937,0.155791,0.155903,0.156473,0.154602,0.153157,0.149326,0.146581,0.1436,0.143773,0.144497,0.147097,0.148949,0.151213,0.152186,0.152498,0.151526,0.148555,0.145318,0.140068,0.136843,0.133534,0.132412,0.130126,0.128582],[0.004657,0.00468,0.004616,0.00464,0.004584,0.004633,0.004594,0.004634,0.004637,0.004663,0.004689,0.00469,0.004702,0.004658,0.004657,0.004606,0.004627,0.004585,0.004629,0.004593,0.004653,0.004616,0.004662,0.004635,0.004636,0.00462,0.004605,0.004626,0.004635,0.0047],[0.216203,0.219506,0.220939,0.221868,0.2214,0.220623,0.218942,0.216906,0.214797,0.212332,0.210208,0.207598,0.205425,0.202971,0.201564,0.200285,0.200025,0.199433,0.199368,0.198717,0.198372,0.197305,0.196097,0.19451,0.192462,0.190651,0.188807,0.187762,0.18653,0.185592],[0.071608,0.07145,0.071696,0.071448,0.071558,0.071258,0.070895,0.070564,0.069623,0.069157,0.067966,0.067293,0.065954,0.06557,0.065206,0.066092,0.066806,0.068243,0.06911,0.070261,0.070687,0.070967,0.070726,0.069614,0.068525,0.066869,0.066215,0.065327,0.065303,0.064702],[0.104168,0.101738,0.10192,0.098426,0.09993,0.097624,0.101104,0.101282,0.104638,0.106493,0.108762,0.110349,0.109697,0.108751,0.105162,0.104015,0.100672,0.101032,0.098348,0.100002,0.097612,0.100294,0.098607,0.100504,0.098899,0.097726,0.096128,0.095124,0.095975,0.096357],[0.209848,0.212128,0.205723,0.210528,0.208756,0.214085,0.215732,0.216246,0.222136,0.219396,0.224319,0.217175,0.218281,0.208901,0.212493,0.208775,0.217397,0.21659,0.225101,0.223137,0.227458,0.222596,0.21687,0.21064,0.196776,0.191159,0.179913,0.181101,0.175503,0.180738],[0.278478,0.285176,0.278498,0.284436,0.280302,0.281447,0.280341,0.272432,0.276985,0.265971,0.27058,0.25777,0.261383,0.250724,0.259794,0.257383,0.272204,0.273976,0.288492,0.290066,0.298854,0.298656,0.29375,0.294829,0.280777,0.283283,0.271745,0.279746,0.27231,0.281901],[0.006817,0.006927,0.006742,0.006949,0.006841,0.007083,0.007027,0.007124,0.007195,0.00717,0.007266,0.00714,0.007216,0.007016,0.007107,0.006921,0.007083,0.00694,0.007167,0.007054,0.007304,0.007196,0.007309,0.007256,0.007175,0.007154,0.006956,0.006945,0.0067,0.006716],[0.001473,0.00147,0.001478,0.001475,0.00148,0.001474,0.001476,0.001472,0.001468,0.001467,0.001462,0.001465,0.001465,0.001473,0.001474,0.001481,0.001477,0.00148,0.001473,0.001475,0.001467,0.001469,0.001465,0.001468,0.001471,0.001474,0.001479,0.001476,0.001477,0.001469],[0.111916,0.111878,0.110358,0.11057,0.108592,0.109758,0.107291,0.108578,0.106526,0.107416,0.106267,0.106861,0.106193,0.106085,0.10555,0.105057,0.1053,0.104903,0.106107,0.1057,0.107897,0.107045,0.109734,0.108267,0.109811,0.108249,0.108467,0.10703,0.106793,0.106037],[0.126225,0.12555,0.127383,0.126242,0.127726,0.125949,0.126623,0.125069,0.123876,0.12231,0.11995,0.118445,0.115653,0.114628,0.112124,0.112029,0.110255,0.111404,0.110662,0.113141,0.113402,0.117058,0.118898,0.122711,0.126,0.129287,0.133297,0.136202,0.140471,0.1429],[0.011263,0.01143,0.011581,0.01178,0.011937,0.012116,0.012248,0.01236,0.012453,0.01249,0.012525,0.012504,0.012504,0.012449,0.012414,0.012321,0.012266,0.012171,0.012132,0.012066,0.012055,0.012019,0.012009,0.011997,0.011967,0.011934,0.011825,0.011696,0.01148,0.011263],[0.04893,0.047174,0.047393,0.045517,0.045837,0.044136,0.044473,0.043709,0.043362,0.04322,0.042522,0.042718,0.041804,0.042207,0.041214,0.041895,0.040948,0.041917,0.04106,0.042291,0.041558,0.043027,0.043054,0.044207,0.045092,0.045786,0.047311,0.048041,0.05014,0.050931],[0.160419,0.15961,0.158721,0.158919,0.157737,0.159938,0.158044,0.16143,0.159382,0.162451,0.161147,0.163603,0.162514,0.163637,0.162125,0.161909,0.160642,0.159796,0.159436,0.158312,0.159604,0.158073,0.161389,0.159198,0.162544,0.160895,0.16347,0.162372,0.164607,0.164347],[0.025013,0.025114,0.025032,0.024789,0.02462,0.024223,0.02421,0.023832,0.023994,0.023799,0.024067,0.024057,0.024345,0.024302,0.024368,0.024238,0.02424,0.024228,0.02427,0.024415,0.02445,0.024751,0.024698,0.025119,0.024989,0.025122,0.024718,0.024577,0.024155,0.024021],[0.21913,0.215249,0.214146,0.210631,0.211451,0.20928,0.211659,0.211226,0.21317,0.213819,0.214867,0.215637,0.215144,0.215011,0.213696,0.215332,0.216293,0.2211,0.224045,0.230823,0.234035,0.240839,0.24275,0.246143,0.244617,0.241474,0.236251,0.230235,0.224901,0.218783],[0.227705,0.223693,0.225305,0.21967,0.217504,0.215078,0.210313,0.214077,0.20701,0.213631,0.209005,0.21822,0.21602,0.224378,0.219519,0.222868,0.216093,0.21746,0.212636,0.214224,0.214029,0.215999,0.224517,0.22469,0.237573,0.23613,0.24603,0.241172,0.248459,0.243928],[0.461861,0.472649,0.453983,0.456953,0.433304,0.427085,0.406798,0.389407,0.383735,0.366419,0.370922,0.359113,0.372916,0.366805,0.385282,0.379585,0.39848,0.3935,0.413782,0.411654,0.432908,0.437016,0.452787,0.474333,0.489144,0.525338,0.539935,0.579584,0.59164,0.633354],[1.911517,1.939885,1.809017,1.819461,1.702866,1.677742,1.601554,1.511138,1.516689,1.41819,1.458643,1.368805,1.42901,1.357212,1.447394,1.409656,1.529765,1.518647,1.652169,1.658584,1.782001,1.811123,1.862874,1.963068,1.967121,2.120623,2.13056,2.329182,2.359717,2.590031],[0.555607,0.529596,0.515212,0.492848,0.486558,0.473066,0.473512,0.470602,0.471448,0.475117,0.47598,0.481134,0.477615,0.481124,0.479298,0.492232,0.501011,0.526786,0.546622,0.583635,0.612184,0.658893,0.699327,0.748309,0.79519,0.842871,0.903115,0.966733,1.049982,1.132504],[1.036087,1.00674,0.984253,0.96162,0.945534,0.936501,0.92811,0.932255,0.92853,0.938179,0.938049,0.948711,0.947481,0.950032,0.937421,0.928005,0.911423,0.902681,0.894549,0.895773,0.904197,0.919444,0.94933,0.977114,1.021354,1.053395,1.093679,1.119189,1.152956,1.173979],[1.44993,1.427411,1.458696,1.424326,1.440581,1.409005,1.404831,1.3976,1.359455,1.362039,1.314177,1.321099,1.270798,1.283152,1.241379,1.266921,1.237463,1.27035,1.246755,1.278729,1.26001,1.282353,1.284656,1.274416,1.287494,1.256293,1.277533,1.247596,1.276592,1.245559],[0.706042,0.70506,0.708988,0.710981,0.72171,0.728007,0.746195,0.757289,0.777439,0.789552,0.804141,0.810245,0.813341,0.80802,0.796423,0.779061,0.755245,0.730622,0.701098,0.676867,0.649387,0.633332,0.614529,0.610605,0.605597,0.611827,0.618525,0.63223,0.645893,0.660971],[0.095083,0.093987,0.094201,0.093736,0.093683,0.094309,0.09343,0.094968,0.092963,0.094177,0.091938,0.092561,0.090251,0.090713,0.089142,0.090004,0.089374,0.090572,0.090989,0.092503,0.094202,0.095562,0.098833,0.098864,0.101945,0.101237,0.103375,0.101509,0.101442,0.097425],[0.613061,0.62028,0.628192,0.632033,0.636894,0.638188,0.638781,0.637812,0.633301,0.629665,0.621724,0.615112,0.604307,0.59708,0.589207,0.587346,0.58475,0.586113,0.584933,0.586031,0.583956,0.582079,0.577455,0.569362,0.560513,0.548321,0.539563,0.52895,0.521389,0.509941],[0.037195,0.036655,0.037724,0.036913,0.037832,0.036636,0.037435,0.036723,0.036916,0.036729,0.036603,0.036916,0.036885,0.037816,0.037747,0.038636,0.037909,0.038426,0.037092,0.037403,0.035728,0.036115,0.034878,0.035301,0.035223,0.035727,0.036436,0.036766,0.03762,0.037552],[0.36408,0.356692,0.363615,0.355341,0.360851,0.355584,0.357005,0.358993,0.352031,0.356541,0.346528,0.350698,0.338207,0.34264,0.333493,0.343714,0.339641,0.351971,0.348166,0.357653,0.352054,0.354896,0.351073,0.340673,0.335974,0.319044,0.318316,0.306145,0.311389,0.302436],[0.234178,0.231989,0.238435,0.231676,0.233274,0.225855,0.223232,0.22062,0.212777,0.213348,0.205531,0.208673,0.20207,0.207369,0.202581,0.209835,0.206227,0.213413,0.209174,0.214348,0.209336,0.211123,0.208969,0.204159,0.204002,0.195842,0.197563,0.190291,0.194115,0.187621],[0.058009,0.057299,0.057382,0.057268,0.057977,0.058321,0.058745,0.059015,0.058475,0.058123,0.056606,0.055214,0.052684,0.05109,0.049722,0.050109,0.050636,0.052295,0.053538,0.055376,0.0565,0.057622,0.058013,0.057337,0.056396,0.054818,0.054541,0.054255,0.055071,0.055182],[0.199899,0.201381,0.201111,0.203541,0.204879,0.207853,0.20967,0.211115,0.212816,0.212366,0.212378,0.209158,0.206454,0.201442,0.199476,0.197094,0.197942,0.197481,0.199124,0.198782,0.199649,0.198218,0.196204,0.1929,0.187432,0.182966,0.177936,0.175768,0.172679,0.171591],[0.140375,0.137924,0.137563,0.13455,0.134783,0.13286,0.134158,0.134505,0.13587,0.13783,0.139111,0.141366,0.141478,0.142731,0.14161,0.142646,0.14112,0.141842,0.139434,0.139386,0.1361,0.13534,0.132189,0.130144,0.127432,0.124414,0.122974,0.121371,0.122277,0.122158],[0.052922,0.053461,0.054355,0.055141,0.056898,0.056185,0.058462,0.056329,0.058471,0.056037,0.05707,0.054623,0.055286,0.054225,0.055952,0.056508,0.058204,0.059,0.059479,0.059982,0.058557,0.058905,0.055252,0.055913,0.052299,0.053192,0.051026,0.052052,0.050151,0.050075],[0.074245,0.073875,0.074011,0.074918,0.076087,0.077255,0.078552,0.079177,0.079985,0.079738,0.079478,0.078146,0.077036,0.075718,0.075362,0.075074,0.075297,0.075278,0.075412,0.075328,0.075157,0.074901,0.074123,0.073606,0.072548,0.072387,0.072142,0.072509,0.07215,0.071669],[0.076242,0.076246,0.075807,0.076388,0.076754,0.077574,0.078085,0.07829,0.078626,0.078092,0.077702,0.076093,0.074691,0.072754,0.072288,0.072114,0.073265,0.074128,0.075655,0.076482,0.077474,0.077566,0.077065,0.075964,0.073836,0.07226,0.070754,0.070591,0.070244,0.070668],[0.490199,0.494813,0.500887,0.507138,0.515778,0.520861,0.530785,0.533732,0.542451,0.543172,0.547523,0.544902,0.544757,0.539809,0.536601,0.529949,0.523353,0.514836,0.505258,0.496225,0.484923,0.477378,0.465287,0.460778,0.451497,0.449463,0.443925,0.443455,0.439471,0.438068],[0.157339,0.161251,0.160013,0.164524,0.16425,0.168019,0.168689,0.169169,0.171777,0.170082,0.172415,0.168931,0.170316,0.165725,0.167007,0.162816,0.164804,0.161444,0.163954,0.161413,0.163872,0.162196,0.162158,0.162541,0.160166,0.161509,0.15813,0.159662,0.155646,0.156778],[0.80431,0.80642,0.809046,0.813759,0.819257,0.82373,0.830481,0.833023,0.839437,0.840065,0.843654,0.841756,0.842573,0.839725,0.839985,0.837525,0.836782,0.833664,0.831058,0.827332,0.822953,0.819481,0.81302,0.810977,0.805149,0.805011,0.802095,0.803964,0.80262,0.804215],[0.16526,0.170756,0.170167,0.175651,0.173653,0.177026,0.174339,0.173792,0.173301,0.17089,0.171997,0.169839,0.173442,0.172501,0.176793,0.174086,0.176772,0.172441,0.174533,0.17,0.172225,0.16852,0.169498,0.169471,0.170148,0.173426,0.172311,0.173808,0.169132,0.168765],[0.118255,0.118685,0.120056,0.120874,0.121369,0.120797,0.120036,0.118586,0.117095,0.115517,0.11426,0.113786,0.11451,0.116702,0.119323,0.121887,0.123623,0.12501,0.125579,0.126048,0.125817,0.125819,0.125536,0.126029,0.127284,0.129507,0.131717,0.133129,0.133684,0.13334],[0.101772,0.102507,0.103656,0.104025,0.103916,0.102968,0.101871,0.100452,0.099081,0.097922,0.097147,0.097257,0.098344,0.100451,0.102389,0.10382,0.10421,0.104126,0.103323,0.102467,0.101247,0.100398,0.099745,0.099984,0.101226,0.103184,0.105056,0.106096,0.106493,0.106168],[0.868756,0.86271,0.895838,0.880988,0.89726,0.878265,0.876494,0.871274,0.843838,0.843576,0.810033,0.817488,0.789893,0.803424,0.770023,0.771417,0.728598,0.725555,0.687569,0.690237,0.667016,0.677547,0.684424,0.693379,0.725559,0.72818,0.754766,0.733695,0.740901,0.701768],[0.53167,0.537507,0.528924,0.537804,0.53058,0.539485,0.53476,0.537828,0.541277,0.541497,0.549658,0.549329,0.561262,0.560987,0.573893,0.570456,0.581233,0.574195,0.582961,0.573381,0.580112,0.569262,0.569341,0.563447,0.558198,0.557904,0.548854,0.548357,0.535733,0.53565],[0.202466,0.201087,0.197234,0.196386,0.193098,0.193302,0.191004,0.19136,0.191014,0.191622,0.192763,0.193515,0.195243,0.19568,0.197799,0.198258,0.200982,0.201619,0.205011,0.20582,0.209803,0.210914,0.215022,0.217246,0.220904,0.224741,0.228914,0.234606,0.239892,0.247462],[0.004809,0.004827,0.004821,0.00489,0.004809,0.005006,0.00481,0.00507,0.004826,0.005035,0.004852,0.005009,0.004864,0.004939,0.004805,0.004802,0.004714,0.00467,0.004668,0.004594,0.004718,0.004587,0.00487,0.004658,0.004926,0.004763,0.004983,0.004888,0.005096,0.005101],[0.280878,0.28024,0.284154,0.281577,0.285932,0.282055,0.287538,0.285177,0.289125,0.28852,0.290331,0.290382,0.290056,0.289928,0.287334,0.287028,0.282685,0.28252,0.276657,0.276785,0.269396,0.270226,0.262777,0.263176,0.257604,0.255501,0.25109,0.247823,0.244775,0.240874],[1.189803,1.224719,1.247022,1.272331,1.300482,1.310841,1.352404,1.348598,1.39814,1.391009,1.429611,1.416488,1.438304,1.41338,1.411549,1.374415,1.354325,1.314857,1.284051,1.250069,1.210687,1.190733,1.140684,1.142392,1.097657,1.100223,1.058728,1.056844,1.020534,1.016617],[0.258268,0.254744,0.259661,0.254433,0.260322,0.253943,0.261637,0.258804,0.264512,0.265252,0.268561,0.271207,0.27251,0.276151,0.274728,0.277472,0.271958,0.273073,0.263885,0.264289,0.252705,0.254174,0.244191,0.246214,0.241978,0.243244,0.24351,0.244607,0.247491,0.24749],[0.003989,0.003938,0.003866,0.003861,0.003836,0.00386,0.003873,0.003897,0.003945,0.003965,0.004018,0.004026,0.004069,0.004061,0.004091,0.00407,0.004089,0.004059,0.004071,0.004038,0.004042,0.004012,0.003996,0.003984,0.003958,0.003963,0.003939,0.003959,0.003949,0.003993],[0.003917,0.003915,0.003882,0.003901,0.003872,0.003889,0.00386,0.003855,0.003841,0.003822,0.00382,0.003802,0.003823,0.00382,0.003855,0.003848,0.00388,0.003867,0.003901,0.003888,0.003923,0.00391,0.003933,0.003934,0.003944,0.00396,0.003948,0.003944,0.003898,0.003879],[0.007911,0.008286,0.008209,0.008771,0.00872,0.009234,0.009149,0.009313,0.009375,0.009278,0.009394,0.009198,0.009444,0.009285,0.009619,0.00939,0.009714,0.009441,0.009812,0.00956,0.009971,0.009735,0.009947,0.009885,0.009857,0.009921,0.00958,0.009411,0.008703,0.008359],[0.000948,0.000951,0.000953,0.000957,0.00096,0.000965,0.000967,0.000971,0.000973,0.000974,0.000976,0.000976,0.000976,0.000976,0.000975,0.000973,0.000972,0.000968,0.000966,0.000963,0.000962,0.000959,0.00096,0.000959,0.000961,0.000963,0.000965,0.000967,0.000967,0.000966],[0.23128,0.225876,0.222967,0.222264,0.223982,0.226958,0.231003,0.235632,0.240145,0.244538,0.247667,0.249806,0.250145,0.250385,0.250908,0.252676,0.2543,0.255914,0.256295,0.255853,0.253831,0.250611,0.245902,0.239669,0.232977,0.226686,0.222952,0.221327,0.222272,0.224554],[0.000881,0.000871,0.000865,0.000864,0.000865,0.000866,0.000871,0.000873,0.000878,0.000878,0.00088,0.000875,0.000874,0.00087,0.000871,0.00087,0.000872,0.000872,0.000873,0.000873,0.000873,0.000875,0.000872,0.000874,0.000871,0.000875,0.000874,0.000877,0.000873,0.000868],[0.38162,0.371899,0.366006,0.356386,0.356298,0.34715,0.355167,0.349533,0.362059,0.361839,0.374333,0.377276,0.388033,0.391707,0.398684,0.402379,0.40623,0.411261,0.412689,0.420407,0.41951,0.432035,0.429202,0.446772,0.447355,0.462639,0.464591,0.476558,0.479363,0.487339],[0.080349,0.080406,0.081809,0.08399,0.086173,0.088182,0.089194,0.089934,0.089367,0.088572,0.086676,0.084815,0.082891,0.082413,0.083032,0.084629,0.08619,0.087511,0.088218,0.088202,0.087564,0.085922,0.083982,0.081147,0.079182,0.077931,0.07841,0.079252,0.080647,0.081608],[1.21069,1.202911,1.197636,1.185437,1.184838,1.174569,1.183828,1.180133,1.194924,1.198691,1.214008,1.220884,1.2314,1.233086,1.233046,1.230977,1.227723,1.228925,1.226156,1.232605,1.230373,1.243245,1.241481,1.258152,1.257458,1.265483,1.260531,1.262867,1.260166,1.262172],[0.342992,0.344561,0.346925,0.34754,0.348579,0.348838,0.348827,0.349134,0.347592,0.347181,0.344745,0.343796,0.340897,0.338933,0.334304,0.330496,0.325305,0.322159,0.319043,0.31847,0.318757,0.321168,0.325327,0.329735,0.335905,0.339707,0.343272,0.342911,0.342057,0.337642],[0.847398,0.828575,0.816554,0.800463,0.795771,0.785616,0.791268,0.791039,0.803672,0.812583,0.82837,0.841917,0.857177,0.870828,0.881565,0.891713,0.895526,0.901172,0.898566,0.901565,0.894746,0.898792,0.892525,0.899437,0.899068,0.90719,0.91219,0.921302,0.92921,0.936872],[0.546516,0.548157,0.575392,0.569581,0.587566,0.574098,0.580271,0.57113,0.558153,0.550634,0.529181,0.524887,0.503723,0.505232,0.484441,0.486544,0.464138,0.467566,0.447084,0.454335,0.438843,0.450101,0.447893,0.456359,0.468111,0.471638,0.485871,0.480069,0.488921,0.473284],[1.653118,1.639361,1.611631,1.602769,1.60585,1.57171,1.607121,1.545743,1.601556,1.540568,1.581454,1.522031,1.551636,1.511338,1.549805,1.537678,1.575605,1.577714,1.599789,1.612123,1.605991,1.635775,1.583918,1.644371,1.590943,1.65842,1.626603,1.693788,1.667306,1.710305],[0.234516,0.236473,0.238982,0.237672,0.237218,0.234164,0.231861,0.229216,0.225724,0.224051,0.221108,0.220682,0.218679,0.21937,0.218235,0.219683,0.218928,0.220268,0.219042,0.219586,0.217764,0.217261,0.215673,0.213706,0.21256,0.209999,0.209495,0.207354,0.207521,0.205498],[0.797001,0.793003,0.790056,0.787348,0.785504,0.783358,0.781039,0.778378,0.774614,0.770771,0.765639,0.760488,0.754403,0.749791,0.746455,0.745985,0.746946,0.750281,0.754588,0.760632,0.767152,0.774589,0.782087,0.788904,0.795543,0.80168,0.808938,0.815796,0.822886,0.828421],[0.820599,0.820599,0.816992,0.823661,0.820162,0.834397,0.828262,0.844262,0.838594,0.85056,0.846704,0.853258,0.849164,0.850191,0.845535,0.840295,0.833763,0.821794,0.81476,0.798255,0.79481,0.775505,0.777574,0.758362,0.761427,0.750744,0.755441,0.750357,0.753203,0.749265],[0.229293,0.230207,0.230985,0.231816,0.23247,0.233274,0.234088,0.234693,0.235295,0.235324,0.235333,0.234827,0.234265,0.2326,0.230002,0.226251,0.222518,0.218961,0.216475,0.214978,0.21497,0.216264,0.218901,0.22291,0.227398,0.231742,0.234486,0.235938,0.235682,0.234456],[0.09178,0.090361,0.091558,0.088587,0.090328,0.086737,0.08956,0.087019,0.089118,0.087945,0.088931,0.088499,0.088168,0.087531,0.085902,0.086212,0.08511,0.087399,0.08684,0.090614,0.089575,0.094067,0.09217,0.095295,0.092524,0.091233,0.086944,0.083467,0.079776,0.076091],[0.062679,0.062678,0.06259,0.062393,0.062387,0.062437,0.062806,0.063282,0.063987,0.064742,0.065504,0.066127,0.066459,0.066446,0.065998,0.065231,0.064078,0.062738,0.061161,0.05964,0.058127,0.056953,0.056022,0.055592,0.055543,0.055978,0.056865,0.058183,0.059856,0.061675],[0.101885,0.101254,0.100431,0.100377,0.100633,0.101675,0.102814,0.104356,0.105954,0.107481,0.108846,0.109603,0.109805,0.10921,0.108742,0.108359,0.108594,0.108805,0.109395,0.109662,0.110083,0.109876,0.109421,0.108103,0.106005,0.103319,0.100531,0.0982,0.096115,0.09451],[0.017274,0.017216,0.017122,0.01707,0.016963,0.016911,0.016802,0.016747,0.016666,0.016615,0.016565,0.016525,0.016504,0.016484,0.016483,0.016446,0.016422,0.016356,0.016328,0.016262,0.016264,0.01624,0.016311,0.016386,0.016555,0.016776,0.017058,0.017379,0.017716,0.018089],[0.027423,0.027155,0.02737,0.026771,0.027169,0.02652,0.027267,0.026903,0.027586,0.027522,0.027943,0.027937,0.027901,0.027617,0.027054,0.026764,0.02617,0.02624,0.025787,0.026267,0.025902,0.026818,0.026625,0.027711,0.027748,0.028351,0.028438,0.02892,0.029422,0.03007],[1.199228,1.17832,1.188566,1.173138,1.184741,1.177881,1.18669,1.196447,1.193393,1.209993,1.20308,1.223125,1.215581,1.236239,1.22418,1.238867,1.220686,1.230501,1.210794,1.218431,1.201927,1.20762,1.206364,1.202785,1.214045,1.204249,1.21752,1.202522,1.215018,1.198924],[0.286513,0.281372,0.272602,0.269579,0.264967,0.266942,0.266813,0.271228,0.27548,0.281043,0.28724,0.291474,0.295328,0.295244,0.297589,0.298523,0.304435,0.308436,0.317465,0.322997,0.333299,0.338743,0.34739,0.351239,0.354073,0.354985,0.355725,0.360041,0.365038,0.375024],[0.219429,0.22089,0.220135,0.221358,0.220876,0.222718,0.222752,0.22425,0.22513,0.226054,0.22698,0.226739,0.226485,0.224367,0.223212,0.220845,0.220314,0.218304,0.218184,0.216187,0.216171,0.213914,0.213061,0.210518,0.208006,0.205051,0.201926,0.199944,0.197739,0.196937],[0.578182,0.585759,0.586255,0.583818,0.580035,0.572429,0.571324,0.562986,0.566536,0.562168,0.569144,0.569502,0.577974,0.577543,0.580106,0.575667,0.574993,0.571756,0.571251,0.571002,0.570238,0.573709,0.571183,0.578789,0.574858,0.577091,0.566109,0.561175,0.548343,0.543023],[0.447984,0.462008,0.460832,0.467637,0.462114,0.462173,0.45974,0.454592,0.461875,0.458862,0.472676,0.474633,0.493855,0.49645,0.509724,0.502209,0.504308,0.488559,0.482458,0.462657,0.450802,0.431803,0.4139,0.404098,0.386893,0.381806,0.362287,0.354809,0.334792,0.32918],[0.17322,0.172715,0.176412,0.172778,0.177288,0.171545,0.178007,0.173299,0.17844,0.175788,0.178364,0.176704,0.176404,0.174198,0.170878,0.169565,0.165941,0.167426,0.164154,0.1684,0.164532,0.171389,0.167182,0.174438,0.171311,0.173781,0.170412,0.170453,0.169076,0.168924],[0.39676,0.399733,0.398541,0.399594,0.395122,0.398155,0.391636,0.395755,0.389906,0.393759,0.390973,0.394827,0.393579,0.395115,0.393387,0.393155,0.39343,0.393695,0.397208,0.397688,0.40425,0.403317,0.41197,0.408231,0.413067,0.407023,0.406536,0.399551,0.397496,0.392983],[0.257361,0.26148,0.264295,0.26601,0.264613,0.265985,0.260784,0.262174,0.25534,0.256195,0.251031,0.25245,0.24926,0.250507,0.248093,0.24872,0.247659,0.248116,0.248417,0.247831,0.249055,0.245903,0.247892,0.24108,0.240617,0.231874,0.228357,0.219255,0.215287,0.208465],[0.121722,0.12035,0.11876,0.117539,0.116817,0.116727,0.117072,0.117885,0.118991,0.120321,0.121698,0.122881,0.12355,0.123556,0.123344,0.123343,0.123824,0.124682,0.125921,0.127328,0.128906,0.130345,0.131597,0.132236,0.132025,0.130854,0.12926,0.12773,0.126463,0.125509],[0.204586,0.206765,0.207174,0.208885,0.208749,0.209734,0.209813,0.210086,0.211306,0.211635,0.213655,0.214521,0.217389,0.218342,0.220255,0.219257,0.219097,0.216344,0.21476,0.211098,0.208721,0.204962,0.201925,0.19943,0.196656,0.195059,0.191644,0.189185,0.18485,0.182086],[0.007817,0.007877,0.008203,0.008274,0.008557,0.008515,0.008692,0.008626,0.008622,0.008549,0.00845,0.008436,0.008396,0.008544,0.008569,0.008749,0.008708,0.008855,0.008746,0.008869,0.008702,0.008794,0.00863,0.008646,0.00857,0.008501,0.008393,0.008121,0.007853,0.007396],[1.891845,1.925567,1.964817,1.958444,1.955312,1.933736,1.915028,1.911161,1.891726,1.91009,1.911723,1.959594,1.985994,2.035251,2.025935,2.016008,1.953223,1.899771,1.811207,1.737744,1.64689,1.569481,1.501626,1.431157,1.389482,1.31935,1.262081,1.170808,1.103979,1.020096],[0.24641,0.249745,0.251977,0.255178,0.256915,0.259371,0.260991,0.262495,0.264483,0.265377,0.267261,0.267962,0.269984,0.270003,0.269997,0.26697,0.264019,0.258709,0.254101,0.247899,0.242726,0.236608,0.231149,0.226295,0.221332,0.216996,0.210783,0.204697,0.196837,0.189866],[0.225778,0.239495,0.23262,0.247068,0.241509,0.253471,0.251271,0.252958,0.260596,0.256964,0.267896,0.260895,0.272343,0.262637,0.27382,0.26259,0.273452,0.261225,0.270894,0.258007,0.265104,0.252792,0.249785,0.244928,0.233982,0.234608,0.220569,0.222821,0.207494,0.210485],[0.42258,0.416103,0.436852,0.418063,0.424263,0.403899,0.395672,0.388781,0.362928,0.363383,0.336592,0.342913,0.319522,0.331753,0.314955,0.334099,0.323022,0.344523,0.334862,0.353511,0.344528,0.355214,0.35665,0.347814,0.354324,0.334293,0.34423,0.324367,0.337029,0.316591],[0.063403,0.062935,0.062268,0.06203,0.061756,0.062382,0.062676,0.063973,0.064756,0.066246,0.067198,0.068374,0.068787,0.068801,0.06806,0.067031,0.06587,0.064622,0.063691,0.062712,0.062474,0.062059,0.06272,0.062937,0.064042,0.064567,0.06561,0.066399,0.067688,0.068872],[0.243865,0.237217,0.23709,0.229351,0.231768,0.224283,0.230064,0.226122,0.231571,0.231316,0.235253,0.23696,0.238774,0.24058,0.239848,0.242758,0.24159,0.246895,0.245514,0.252998,0.250565,0.260027,0.257431,0.266181,0.26494,0.26824,0.266975,0.267621,0.268225,0.268061],[0.205561,0.203855,0.207597,0.204568,0.20752,0.204167,0.206504,0.205662,0.205664,0.20664,0.205601,0.207718,0.206243,0.208998,0.206674,0.209038,0.20532,0.206836,0.201776,0.202542,0.196784,0.197117,0.193027,0.191877,0.190438,0.18806,0.188176,0.185459,0.186555,0.18352],[0.490225,0.496336,0.489274,0.480443,0.461848,0.444045,0.425593,0.406985,0.397097,0.385778,0.386624,0.386783,0.399089,0.406089,0.417508,0.418616,0.423604,0.420889,0.42311,0.420072,0.421526,0.421329,0.423014,0.43141,0.437103,0.448678,0.449332,0.454009,0.450003,0.453783],[1.688434,1.642784,1.604102,1.546945,1.49622,1.437621,1.380505,1.332629,1.276115,1.241977,1.199824,1.182739,1.15877,1.161162,1.159075,1.181588,1.197435,1.231857,1.25699,1.29449,1.3231,1.356205,1.389114,1.410018,1.442708,1.459418,1.496577,1.51875,1.562081,1.588645],[0.026373,0.025849,0.026086,0.025793,0.026108,0.026087,0.026388,0.026799,0.02686,0.027428,0.027408,0.02806,0.028044,0.028644,0.028333,0.028514,0.027846,0.027783,0.027071,0.027002,0.026496,0.026524,0.02656,0.02658,0.027103,0.02709,0.027579,0.027293,0.027621,0.027245],[0.361821,0.352407,0.353883,0.337225,0.34635,0.325987,0.348803,0.334375,0.361205,0.357135,0.379528,0.380732,0.394547,0.393479,0.393585,0.39118,0.383949,0.386518,0.375224,0.385143,0.368989,0.389378,0.370103,0.39802,0.385243,0.401581,0.390038,0.39798,0.392138,0.396083],[0.257377,0.255649,0.25339,0.255054,0.253249,0.259395,0.256573,0.264615,0.261697,0.268251,0.266126,0.270208,0.267601,0.268312,0.264672,0.262252,0.258436,0.254005,0.251495,0.24636,0.247223,0.241986,0.247357,0.242566,0.249348,0.248246,0.255863,0.257808,0.265701,0.269653],[0.106314,0.105411,0.104508,0.104419,0.104611,0.107717,0.10957,0.115406,0.11844,0.124903,0.128243,0.133407,0.134454,0.134587,0.130191,0.12516,0.118568,0.112541,0.107222,0.102659,0.100649,0.098665,0.100964,0.101573,0.106292,0.107985,0.112107,0.114006,0.118493,0.121633],[0.274296,0.269805,0.265899,0.264153,0.261993,0.26701,0.266875,0.27734,0.278966,0.290556,0.293776,0.303681,0.304909,0.308256,0.30343,0.299765,0.292664,0.286959,0.282171,0.277775,0.278774,0.277123,0.285964,0.28672,0.298815,0.301421,0.311878,0.31465,0.324014,0.327624],[0.003697,0.003674,0.003625,0.003651,0.003633,0.003672,0.003672,0.00369,0.003712,0.00371,0.003736,0.003725,0.003762,0.003754,0.003788,0.003758,0.003775,0.003735,0.003753,0.00372,0.003746,0.003724,0.003739,0.003746,0.003752,0.003776,0.003749,0.00374,0.003675,0.003652],[0.048534,0.047273,0.048021,0.046413,0.046049,0.0453,0.043961,0.044997,0.04278,0.044676,0.043142,0.045879,0.045182,0.0481,0.047215,0.049258,0.04802,0.049347,0.048226,0.048963,0.048488,0.048473,0.049883,0.048471,0.050762,0.048824,0.05075,0.048576,0.050494,0.049042],[0.325524,0.31892,0.320178,0.308506,0.304676,0.291857,0.285542,0.278428,0.269829,0.268194,0.262176,0.266184,0.264225,0.272649,0.272023,0.280326,0.277876,0.284385,0.280208,0.285034,0.280451,0.284268,0.284542,0.28653,0.293074,0.295281,0.305505,0.308033,0.320298,0.323609],[0.32264,0.323203,0.32384,0.324077,0.324456,0.328185,0.329528,0.336796,0.338914,0.347061,0.350017,0.357265,0.358343,0.359759,0.353924,0.348191,0.339193,0.331741,0.324296,0.318314,0.315225,0.312017,0.314929,0.314193,0.319867,0.319278,0.322444,0.320682,0.323418,0.323311],[0.030903,0.030738,0.030735,0.030621,0.030641,0.030611,0.030626,0.030713,0.030689,0.030832,0.030816,0.030983,0.030973,0.031142,0.031138,0.0313,0.031279,0.031384,0.031309,0.031324,0.031199,0.031112,0.031003,0.030791,0.030706,0.030476,0.030459,0.030316,0.030409,0.030376],[0.187204,0.184905,0.185362,0.185889,0.187918,0.191358,0.193518,0.198897,0.199951,0.204757,0.204726,0.207771,0.206149,0.206979,0.203842,0.202817,0.199002,0.197027,0.193696,0.19177,0.190297,0.188885,0.190454,0.189132,0.192559,0.192378,0.19665,0.197393,0.201874,0.2029],[0.566763,0.5727,0.574684,0.583134,0.579241,0.594926,0.58263,0.600442,0.584606,0.59728,0.584379,0.591936,0.580294,0.58083,0.568712,0.562868,0.55279,0.543036,0.537269,0.524379,0.525506,0.507981,0.516959,0.493953,0.499915,0.479652,0.481002,0.464159,0.463217,0.451222],[0.058102,0.056876,0.054942,0.053976,0.05248,0.052221,0.051324,0.051466,0.051359,0.051761,0.052194,0.052606,0.053022,0.05301,0.053292,0.053213,0.053793,0.053958,0.055011,0.055499,0.057086,0.058002,0.060096,0.061637,0.063855,0.066059,0.068724,0.07198,0.075539,0.079944],[0.026295,0.026022,0.025447,0.025692,0.025142,0.025896,0.025131,0.025944,0.025241,0.025781,0.025308,0.025596,0.025283,0.025376,0.025265,0.025199,0.025279,0.025085,0.025482,0.025279,0.026225,0.026076,0.027692,0.027795,0.029721,0.030726,0.033107,0.034948,0.037674,0.040193],[0.143368,0.148233,0.143423,0.14926,0.145844,0.15223,0.150836,0.153644,0.157152,0.157702,0.163027,0.161315,0.166099,0.161813,0.16636,0.161711,0.167175,0.162259,0.167493,0.161589,0.165485,0.158536,0.157213,0.151914,0.14532,0.141875,0.133884,0.132727,0.125536,0.126275],[0.134983,0.139152,0.135705,0.140134,0.138103,0.142883,0.142317,0.143856,0.146263,0.145328,0.147816,0.143784,0.143921,0.136972,0.137231,0.13213,0.135237,0.131961,0.136129,0.133063,0.136579,0.132847,0.132015,0.128436,0.12245,0.119094,0.11267,0.112329,0.107941,0.10963],[1.299269,1.279787,1.279207,1.270994,1.284238,1.286805,1.307399,1.319064,1.335429,1.349124,1.357831,1.367905,1.367481,1.371931,1.366686,1.375059,1.374432,1.38877,1.389148,1.402973,1.397153,1.401212,1.38322,1.363668,1.32714,1.278516,1.225472,1.163952,1.108086,1.045469],[0.073439,0.072592,0.071425,0.070873,0.070624,0.070894,0.071257,0.071788,0.072377,0.072793,0.073027,0.072559,0.071539,0.070072,0.069253,0.069083,0.069787,0.070725,0.072014,0.073089,0.074155,0.07471,0.074838,0.074199,0.072777,0.071311,0.070411,0.070628,0.071503,0.07306],[0.100245,0.101538,0.10102,0.102271,0.102325,0.103117,0.104216,0.103994,0.106237,0.105589,0.107703,0.106693,0.108314,0.106609,0.106969,0.104282,0.103812,0.101333,0.101147,0.09986,0.100339,0.100887,0.101501,0.104606,0.105681,0.109554,0.109982,0.112805,0.112109,0.113854],[0.230913,0.235443,0.229728,0.225467,0.220031,0.205983,0.207072,0.187418,0.195847,0.180092,0.190221,0.180013,0.191852,0.18627,0.197727,0.195521,0.206112,0.207966,0.216583,0.222207,0.225078,0.235713,0.2276,0.246534,0.23563,0.251919,0.23932,0.25095,0.239549,0.249348],[0.199675,0.204398,0.203617,0.20848,0.20867,0.212163,0.213827,0.213834,0.218059,0.216286,0.220395,0.217282,0.220553,0.216405,0.218773,0.214092,0.215796,0.211137,0.212334,0.20815,0.208483,0.205389,0.202765,0.202627,0.198197,0.199331,0.194125,0.195041,0.189136,0.189485],[0.904793,0.918704,0.933807,0.951542,0.9562,0.958859,0.947624,0.934998,0.915485,0.895098,0.876015,0.861639,0.859838,0.866327,0.879942,0.887298,0.893989,0.891154,0.889524,0.879287,0.872337,0.856976,0.846203,0.833349,0.828307,0.825723,0.818289,0.801775,0.772852,0.738369],[1.604132,1.593231,1.619851,1.619181,1.657293,1.668007,1.712346,1.742965,1.777885,1.818664,1.84534,1.888447,1.907532,1.948492,1.957345,1.992231,1.989528,2.015227,1.99885,2.012576,1.982512,1.981343,1.947042,1.920265,1.884408,1.833432,1.791867,1.72837,1.684979,1.617257],[0.019104,0.019249,0.019122,0.019251,0.019302,0.019231,0.019502,0.019156,0.019596,0.019173,0.019492,0.018999,0.019183,0.018739,0.018938,0.018662,0.018875,0.018733,0.018904,0.018899,0.018945,0.019124,0.018863,0.019311,0.018959,0.019429,0.019103,0.019469,0.019035,0.019108],[0.139116,0.140835,0.145761,0.146506,0.148611,0.146359,0.145945,0.143379,0.14114,0.139445,0.137693,0.138864,0.140746,0.146239,0.149219,0.152716,0.151473,0.151197,0.146777,0.144543,0.138963,0.136456,0.132458,0.131281,0.13166,0.132649,0.133703,0.131379,0.128705,0.122777],[0.369053,0.361657,0.372389,0.357514,0.371464,0.343513,0.361781,0.332955,0.345252,0.323671,0.327295,0.313616,0.314782,0.311705,0.313452,0.320293,0.32091,0.335413,0.331459,0.351329,0.337577,0.361989,0.338677,0.362466,0.343256,0.353466,0.337378,0.337024,0.323556,0.315467],[0.026463,0.026447,0.026964,0.026925,0.027413,0.027155,0.027572,0.027353,0.027544,0.027442,0.027488,0.027564,0.027704,0.028122,0.028363,0.02883,0.028817,0.029094,0.028743,0.028833,0.028182,0.028153,0.027408,0.027275,0.026795,0.026611,0.026301,0.025903,0.025466,0.024765],[0.001724,0.001673,0.001643,0.001634,0.001624,0.001645,0.001635,0.001669,0.001652,0.001677,0.001653,0.001658,0.001631,0.001639,0.001635,0.001652,0.001653,0.001657,0.001655,0.001646,0.001648,0.001628,0.001644,0.001613,0.001635,0.001629,0.001673,0.001678,0.001698,0.001669],[0.628472,0.607685,0.619677,0.598464,0.616,0.597201,0.621308,0.619642,0.638053,0.651177,0.66537,0.688049,0.699781,0.728504,0.734248,0.762153,0.756794,0.77946,0.761291,0.777929,0.748387,0.760561,0.732323,0.733799,0.717223,0.705518,0.695559,0.676858,0.670891,0.647203],[0.292129,0.284822,0.279434,0.272664,0.273142,0.273536,0.280328,0.287612,0.297226,0.308047,0.316822,0.32431,0.32431,0.322438,0.317049,0.316932,0.315473,0.318493,0.317534,0.319589,0.316312,0.315063,0.308364,0.299876,0.28696,0.271822,0.261079,0.253934,0.253982,0.255169],[0.498056,0.506334,0.51222,0.517536,0.520553,0.521694,0.520359,0.516482,0.511223,0.503768,0.495666,0.485536,0.475931,0.467583,0.464056,0.463789,0.466913,0.470488,0.474629,0.477268,0.478466,0.476746,0.471592,0.463086,0.450904,0.438702,0.426753,0.416244,0.404506,0.392077],[0.070196,0.069184,0.070397,0.069121,0.070662,0.069483,0.071455,0.071436,0.072878,0.073788,0.074705,0.076018,0.076363,0.077661,0.07725,0.078351,0.077219,0.078072,0.076234,0.076896,0.074557,0.075229,0.073265,0.073505,0.07253,0.07201,0.071691,0.070957,0.071177,0.070194],[0.550824,0.541681,0.551478,0.550618,0.568285,0.576898,0.595072,0.612662,0.621264,0.638353,0.637552,0.647145,0.635027,0.637606,0.624281,0.631669,0.623584,0.633561,0.625965,0.633188,0.623386,0.623169,0.613547,0.5969,0.583052,0.556353,0.545917,0.524762,0.521527,0.504429],[0.013519,0.012817,0.013095,0.012601,0.013186,0.012989,0.013667,0.013915,0.014184,0.014559,0.014436,0.014678,0.014131,0.014174,0.013488,0.013734,0.01326,0.013788,0.013468,0.014149,0.013875,0.014522,0.014407,0.014508,0.01435,0.013785,0.013599,0.012938,0.012926,0.01228],[0.245219,0.242876,0.241702,0.242803,0.244961,0.248703,0.252846,0.257528,0.262427,0.266717,0.270735,0.273471,0.275677,0.276479,0.277315,0.277348,0.277682,0.27713,0.276733,0.275257,0.273682,0.270861,0.267436,0.262906,0.257236,0.251118,0.244391,0.238088,0.23147,0.225705],[0.705933,0.693691,0.718342,0.709366,0.732577,0.732486,0.747452,0.765733,0.760595,0.78374,0.769876,0.79234,0.773054,0.792882,0.769954,0.78665,0.761363,0.773571,0.746651,0.753148,0.727745,0.725728,0.7148,0.692596,0.689678,0.655842,0.655128,0.619516,0.620096,0.584976],[0.162212,0.167627,0.165729,0.172084,0.171613,0.177351,0.178499,0.180141,0.184611,0.183658,0.188331,0.185111,0.188703,0.183715,0.186863,0.181787,0.185248,0.180373,0.183599,0.178766,0.180924,0.176312,0.174184,0.171897,0.166118,0.165193,0.15822,0.15801,0.150775,0.150767],[1.428043,1.470033,1.441589,1.453211,1.406889,1.391028,1.354906,1.315698,1.31971,1.288764,1.321718,1.310245,1.367533,1.367901,1.425541,1.413249,1.451721,1.419932,1.433083,1.383387,1.369505,1.313241,1.263424,1.232097,1.172389,1.16094,1.100599,1.09479,1.040805,1.04638],[0.238633,0.220443,0.214795,0.198215,0.19901,0.187049,0.196117,0.194158,0.2064,0.214099,0.227991,0.242069,0.255618,0.272115,0.28245,0.300077,0.307042,0.325129,0.327274,0.344464,0.34021,0.356284,0.349166,0.360034,0.354342,0.354579,0.349201,0.344693,0.342351,0.336179],[0.201975,0.204637,0.207085,0.209011,0.210954,0.212091,0.212662,0.212307,0.210844,0.208659,0.205205,0.20103,0.195703,0.190623,0.186104,0.183257,0.181336,0.18068,0.180409,0.180951,0.181489,0.182203,0.182402,0.1818,0.180428,0.178328,0.176629,0.174841,0.173249,0.170773],[0.086011,0.086982,0.086873,0.089121,0.090528,0.09304,0.095153,0.096386,0.09879,0.098676,0.099914,0.098057,0.097691,0.094921,0.094753,0.093036,0.093688,0.092547,0.093122,0.091923,0.091733,0.090212,0.088164,0.086486,0.082945,0.081362,0.078397,0.077932,0.075734,0.075538],[0.67141,0.6452,0.627479,0.60722,0.603372,0.599033,0.611913,0.625848,0.650169,0.678255,0.709,0.741761,0.767656,0.792788,0.809889,0.833377,0.849553,0.873018,0.885123,0.903896,0.908084,0.919481,0.916408,0.914852,0.901852,0.884737,0.869209,0.856146,0.852981,0.850722],[0.607359,0.607475,0.608488,0.611632,0.614284,0.618013,0.620826,0.623412,0.625616,0.626228,0.626703,0.625718,0.62541,0.623174,0.620402,0.614705,0.608826,0.600964,0.593908,0.585679,0.578618,0.570647,0.563352,0.556148,0.548766,0.541055,0.530753,0.519161,0.50503,0.490977],[0.627729,0.630068,0.628709,0.631044,0.628497,0.629937,0.630349,0.632668,0.639678,0.645194,0.657422,0.667993,0.686057,0.696814,0.705531,0.699233,0.690058,0.669105,0.64886,0.621106,0.596571,0.568719,0.544355,0.524322,0.506139,0.491842,0.471248,0.451953,0.42783,0.409052],[1.747516,1.878759,1.808994,1.940544,1.856449,1.957923,1.879884,1.881534,1.886149,1.83562,1.883362,1.813096,1.89086,1.813071,1.905687,1.810509,1.90345,1.79503,1.889144,1.777581,1.869876,1.767265,1.796881,1.768759,1.741381,1.783859,1.722394,1.77544,1.679031,1.731365],[0.621389,0.64458,0.639565,0.663637,0.664439,0.682771,0.692502,0.694646,0.71971,0.714785,0.741252,0.730239,0.752806,0.736733,0.756189,0.738822,0.75472,0.734405,0.742226,0.717768,0.713835,0.688085,0.661939,0.646337,0.608392,0.599372,0.562311,0.558984,0.52674,0.527282],[1.006435,1.014302,1.020689,1.026133,1.031298,1.036053,1.041208,1.045498,1.05012,1.053345,1.056352,1.057519,1.057176,1.05354,1.047272,1.038491,1.028665,1.018479,1.008666,0.999618,0.991397,0.985125,0.980019,0.977225,0.974424,0.97261,0.970048,0.968508,0.967174,0.967843],[1.432,1.416281,1.363415,1.365824,1.336376,1.36897,1.368871,1.4141,1.455757,1.511315,1.579473,1.634659,1.705312,1.741236,1.803757,1.827666,1.889351,1.899722,1.950547,1.938112,1.970195,1.931198,1.926663,1.872662,1.823196,1.763465,1.695624,1.649953,1.591373,1.567198],[1.361702,1.367075,1.449486,1.461313,1.53866,1.550527,1.606384,1.637868,1.642634,1.672901,1.647558,1.676526,1.643359,1.675225,1.626683,1.640095,1.572399,1.577257,1.510659,1.520937,1.469282,1.485361,1.472249,1.471737,1.490578,1.464818,1.469523,1.399176,1.37035,1.26805],[0.103536,0.104115,0.104637,0.104709,0.104679,0.104495,0.104061,0.103827,0.103094,0.102817,0.102111,0.101897,0.101324,0.101229,0.100839,0.100891,0.100751,0.101033,0.101234,0.10174,0.102231,0.102803,0.103559,0.103884,0.104443,0.104328,0.104346,0.103567,0.102802,0.101311],[0.367971,0.377628,0.38016,0.391409,0.396453,0.406972,0.415674,0.422179,0.435723,0.43978,0.452866,0.454246,0.464923,0.461537,0.464905,0.45336,0.448792,0.431892,0.422367,0.403699,0.391437,0.374221,0.358216,0.347093,0.330937,0.322815,0.30543,0.296255,0.278462,0.269875],[0.482825,0.455137,0.4495,0.426287,0.432147,0.420933,0.439156,0.447048,0.46782,0.490016,0.511051,0.538724,0.553175,0.576984,0.582928,0.60717,0.61049,0.635559,0.633493,0.655348,0.645255,0.661509,0.6494,0.650857,0.637522,0.621004,0.609579,0.593657,0.593694,0.583641],[2.054356,1.981814,1.90475,1.861015,1.833855,1.852612,1.890571,1.970404,2.07455,2.207993,2.361405,2.521514,2.681318,2.821778,2.961444,3.088216,3.221246,3.332627,3.444485,3.523548,3.601292,3.641896,3.679334,3.681132,3.666292,3.631695,3.598158,3.584384,3.586061,3.615351],[0.049127,0.04902,0.048353,0.048124,0.047589,0.047094,0.04683,0.045995,0.046064,0.045212,0.045326,0.044541,0.044701,0.044123,0.044482,0.044265,0.044877,0.04505,0.045877,0.046441,0.047358,0.048325,0.04898,0.050412,0.050917,0.052382,0.05274,0.053942,0.053973,0.054661],[0.130927,0.130648,0.130862,0.130418,0.130334,0.130014,0.1297,0.129901,0.129527,0.130195,0.130221,0.131372,0.131828,0.133272,0.133908,0.135266,0.135679,0.136534,0.136436,0.136501,0.135786,0.134986,0.134118,0.132543,0.131652,0.130051,0.129588,0.128613,0.128929,0.128963],[0.161701,0.166913,0.172423,0.177828,0.180181,0.181397,0.179518,0.176935,0.172723,0.168275,0.163983,0.160857,0.160453,0.162254,0.165404,0.167087,0.167879,0.166343,0.164375,0.160546,0.157042,0.15213,0.148288,0.144693,0.143506,0.143716,0.143731,0.142148,0.138298,0.133059],[0.027997,0.027822,0.027729,0.027713,0.027772,0.027893,0.02806,0.028251,0.028447,0.028618,0.028756,0.028846,0.028879,0.028833,0.028705,0.028516,0.028302,0.028095,0.027924,0.027812,0.027777,0.027825,0.027961,0.028181,0.028467,0.028775,0.029076,0.029361,0.029634,0.029887],[2.515233,2.558409,2.575782,2.593149,2.591038,2.59059,2.589123,2.580784,2.592239,2.587751,2.607438,2.61087,2.634916,2.625327,2.610819,2.55282,2.493586,2.404305,2.32055,2.21973,2.127424,2.030856,1.937537,1.86264,1.781212,1.713221,1.621676,1.54194,1.448622,1.375871],[1.468841,1.50023,1.537291,1.621039,1.627936,1.737558,1.659055,1.747807,1.613859,1.643005,1.510643,1.503181,1.401403,1.406848,1.372826,1.394727,1.3925,1.387896,1.392084,1.3431,1.357255,1.250375,1.280518,1.124406,1.138653,1.032202,1.064378,1.004638,1.030153,0.987962],[0.136594,0.141012,0.138548,0.14386,0.139136,0.146116,0.138639,0.143532,0.137153,0.139039,0.135197,0.135269,0.133238,0.131707,0.131351,0.129096,0.131144,0.128574,0.13298,0.129521,0.136118,0.13047,0.137032,0.129739,0.131844,0.125784,0.124308,0.119287,0.115959,0.112661],[0.269104,0.268179,0.270711,0.272877,0.277689,0.281793,0.28723,0.292311,0.29634,0.300455,0.302264,0.304568,0.304346,0.30467,0.301922,0.299775,0.294948,0.291347,0.285693,0.281641,0.27604,0.271745,0.266695,0.261536,0.25679,0.250361,0.244287,0.235988,0.228607,0.219521],[0.355071,0.33335,0.352911,0.367184,0.383715,0.4346,0.413887,0.488297,0.424917,0.480384,0.410131,0.442842,0.378108,0.407063,0.372264,0.409117,0.393935,0.419202,0.412413,0.414411,0.421441,0.388175,0.425376,0.3449,0.380433,0.31541,0.364969,0.328401,0.382336,0.357598],[0.180728,0.179572,0.181228,0.179831,0.181601,0.180333,0.181985,0.181855,0.182193,0.182632,0.182008,0.182509,0.181103,0.181453,0.17946,0.179858,0.177614,0.178074,0.175528,0.175909,0.173099,0.173241,0.170904,0.16987,0.168138,0.165751,0.164252,0.161441,0.160354,0.157377],[0.026883,0.026803,0.026783,0.026747,0.027,0.026715,0.027246,0.026764,0.027394,0.026938,0.027363,0.026915,0.027205,0.026977,0.027363,0.027395,0.027684,0.027757,0.027781,0.027858,0.02752,0.027685,0.026919,0.02727,0.026541,0.026911,0.026429,0.026708,0.026172,0.026053],[0.002247,0.002264,0.002297,0.002313,0.002338,0.00234,0.002352,0.002347,0.002344,0.002336,0.002325,0.002322,0.002319,0.00233,0.002334,0.002345,0.00234,0.002345,0.002334,0.002335,0.002321,0.002322,0.002311,0.002312,0.002313,0.002316,0.002317,0.002304,0.002288,0.002256],[0.676945,0.714072,0.71621,0.750904,0.743088,0.763211,0.749766,0.745294,0.742479,0.725695,0.729546,0.71253,0.728102,0.715735,0.732043,0.707925,0.713531,0.680171,0.681533,0.647677,0.649332,0.620751,0.615132,0.606208,0.598365,0.604497,0.585438,0.579751,0.541287,0.524178],[0.006012,0.006124,0.00613,0.006205,0.006229,0.006219,0.006284,0.006172,0.006275,0.00613,0.006199,0.006035,0.006073,0.005934,0.005996,0.005925,0.006012,0.005994,0.006081,0.006108,0.00616,0.006232,0.006178,0.006307,0.00619,0.006295,0.00615,0.006186,0.005967,0.005876],[0.186881,0.185044,0.179473,0.176463,0.170755,0.171785,0.167875,0.172123,0.171193,0.176919,0.178993,0.184703,0.18619,0.186838,0.183983,0.180893,0.178839,0.176805,0.178243,0.1782,0.183839,0.185256,0.194394,0.195955,0.203004,0.20188,0.203528,0.201369,0.202862,0.203736],[0.246483,0.245295,0.242497,0.244745,0.245966,0.249887,0.254283,0.257519,0.26461,0.26716,0.273735,0.274583,0.279224,0.278118,0.281059,0.278782,0.280021,0.276279,0.27531,0.270214,0.266984,0.261509,0.255335,0.251575,0.244787,0.243139,0.23848,0.239893,0.23839,0.242805],[0.064979,0.066461,0.065379,0.067688,0.065899,0.069375,0.066559,0.069571,0.067274,0.069084,0.06786,0.068723,0.068147,0.068079,0.068001,0.067076,0.067488,0.065771,0.066809,0.0644,0.066439,0.063226,0.065862,0.062468,0.064095,0.062224,0.063202,0.062399,0.062805,0.062804],[0.011589,0.011543,0.011531,0.011723,0.012007,0.012089,0.012521,0.012356,0.012791,0.012474,0.012658,0.012183,0.012201,0.011877,0.012111,0.012111,0.012414,0.012479,0.012628,0.012666,0.012559,0.012593,0.012119,0.012227,0.011712,0.011946,0.011721,0.012063,0.011842,0.011912],[0.897209,0.900074,0.88389,0.865705,0.832119,0.800609,0.76745,0.734332,0.713537,0.690075,0.684674,0.678431,0.690835,0.693989,0.701123,0.690505,0.685891,0.672099,0.669984,0.664995,0.672846,0.683891,0.704508,0.740579,0.777629,0.824307,0.850592,0.877627,0.885169,0.900456],[0.929392,0.895867,0.906653,0.911364,0.972255,0.966527,1.062546,1.045875,1.143762,1.124455,1.183237,1.151116,1.182302,1.173216,1.212274,1.22119,1.226101,1.214604,1.168077,1.144393,1.058394,1.050039,0.945212,0.974208,0.918854,0.992021,1.010725,1.110338,1.143886,1.20633],[0.029689,0.029912,0.030377,0.03022,0.03015,0.029723,0.029435,0.029198,0.028866,0.028917,0.028872,0.029442,0.029938,0.030817,0.030978,0.031066,0.030435,0.029992,0.029153,0.028698,0.028089,0.027929,0.027968,0.028305,0.029146,0.029737,0.030323,0.030172,0.030103,0.029531],[1.047143,1.017647,0.995161,0.965992,0.9403,0.928889,0.905718,0.91578,0.897199,0.918629,0.913493,0.943378,0.946804,0.97267,0.97007,0.98494,0.984012,1.00067,1.013932,1.03962,1.075548,1.110051,1.175685,1.210812,1.286089,1.314638,1.371082,1.382001,1.41982,1.420701],[2.808611,2.746897,2.724244,2.624033,2.556787,2.437224,2.338336,2.236551,2.111898,2.028206,1.913149,1.856515,1.768232,1.737924,1.664132,1.63998,1.573892,1.559739,1.510826,1.512987,1.48878,1.5069,1.523662,1.545481,1.596871,1.617735,1.67074,1.672112,1.70909,1.690964],[0.237533,0.230518,0.219794,0.213876,0.206622,0.207031,0.204866,0.209985,0.213292,0.221142,0.227858,0.235374,0.24014,0.241261,0.240708,0.238295,0.238412,0.236887,0.239407,0.239186,0.244476,0.245193,0.251792,0.25238,0.255367,0.252855,0.251266,0.249244,0.249068,0.250353],[0.55729,0.559224,0.553782,0.553477,0.546987,0.543888,0.538331,0.531793,0.529793,0.523104,0.52348,0.518295,0.521009,0.517989,0.522947,0.522061,0.529001,0.530608,0.53965,0.543978,0.55436,0.561746,0.570943,0.583245,0.59182,0.606841,0.614969,0.62997,0.636943,0.651025],[0.07539,0.077137,0.074989,0.077862,0.076467,0.079507,0.078576,0.079499,0.080128,0.07939,0.080357,0.078421,0.079319,0.076652,0.077793,0.075183,0.077038,0.074862,0.077441,0.075665,0.078563,0.076964,0.078248,0.077623,0.076648,0.076617,0.074114,0.073905,0.070393,0.070076],[0.10836,0.111038,0.111637,0.11485,0.114809,0.117438,0.116579,0.117647,0.117293,0.117332,0.117613,0.117567,0.119121,0.1198,0.122198,0.122271,0.124045,0.12279,0.123712,0.121303,0.12159,0.118224,0.117294,0.114155,0.11237,0.110312,0.107568,0.104764,0.100228,0.096419],[1.010245,1.0165,1.010086,1.028039,1.036125,1.06476,1.081349,1.104716,1.126565,1.139396,1.154337,1.150032,1.148496,1.126608,1.120449,1.103992,1.109775,1.102657,1.115359,1.111021,1.12322,1.114727,1.111476,1.093909,1.066078,1.037145,0.999782,0.975934,0.943899,0.926776],[0.673519,0.719509,0.739915,0.798951,0.796346,0.846699,0.801943,0.817684,0.755639,0.73669,0.678132,0.646258,0.606961,0.586509,0.576852,0.563802,0.567109,0.547981,0.557205,0.528273,0.543516,0.500708,0.515475,0.467744,0.473555,0.449496,0.45586,0.442996,0.438755,0.427991],[0.615281,0.646937,0.663048,0.700945,0.702731,0.731577,0.708157,0.713784,0.679078,0.663336,0.628491,0.605049,0.581237,0.566203,0.560436,0.549968,0.550575,0.536038,0.539199,0.519322,0.525657,0.499028,0.504966,0.478108,0.481017,0.470622,0.475565,0.471407,0.468761,0.463862],[0.032892,0.033367,0.033663,0.034242,0.034396,0.034772,0.034638,0.034631,0.034339,0.034042,0.033709,0.03337,0.033247,0.033144,0.033314,0.033342,0.033631,0.033682,0.03402,0.034022,0.034304,0.034115,0.03411,0.03371,0.033356,0.032806,0.03205,0.031126,0.029929,0.028754],[0.841097,0.837292,0.84522,0.855374,0.872453,0.890152,0.905458,0.923662,0.930272,0.940733,0.936412,0.934749,0.91989,0.912183,0.898983,0.894388,0.882823,0.874606,0.85832,0.842456,0.820825,0.796377,0.771518,0.738184,0.712149,0.682398,0.667039,0.65009,0.644271,0.63416],[0.014574,0.014524,0.014509,0.014541,0.014597,0.014664,0.014726,0.014767,0.01479,0.014772,0.014723,0.014627,0.014511,0.014393,0.014319,0.014277,0.014275,0.014293,0.014338,0.014395,0.014466,0.014541,0.014609,0.014669,0.014711,0.01477,0.014842,0.014931,0.014997,0.015044],[0.012985,0.013111,0.013087,0.013275,0.013187,0.013415,0.013204,0.013349,0.013107,0.013116,0.012897,0.012812,0.012617,0.012477,0.012338,0.012176,0.012108,0.011947,0.011984,0.011852,0.012033,0.011937,0.012264,0.012253,0.01263,0.012831,0.013295,0.013682,0.014216,0.014764],[0.043234,0.043574,0.042537,0.04307,0.042493,0.043159,0.042978,0.043051,0.04346,0.043088,0.04348,0.042529,0.042458,0.041049,0.041164,0.040338,0.04118,0.040872,0.04202,0.041854,0.042907,0.04267,0.042844,0.042642,0.041795,0.04166,0.040856,0.041506,0.041305,0.04252],[0.73211,0.7264,0.722475,0.733329,0.745806,0.763813,0.781185,0.793429,0.80838,0.809855,0.812096,0.797227,0.784136,0.762398,0.754909,0.746406,0.748974,0.745118,0.745839,0.737866,0.730093,0.714046,0.691217,0.666221,0.632126,0.607998,0.584845,0.576543,0.565835,0.564057],[0.062408,0.062143,0.060533,0.060293,0.05901,0.059749,0.059122,0.060318,0.060654,0.061954,0.062862,0.06376,0.064195,0.063756,0.063365,0.062317,0.062171,0.0613,0.061769,0.061216,0.062418,0.062238,0.063961,0.064249,0.065596,0.066178,0.067348,0.06886,0.070829,0.073613],[0.129715,0.132644,0.132081,0.133667,0.133638,0.132508,0.133976,0.129909,0.133112,0.128608,0.13136,0.126928,0.129217,0.125666,0.12828,0.126205,0.128915,0.127889,0.129904,0.129633,0.129901,0.130629,0.127291,0.129996,0.125219,0.127716,0.122782,0.124326,0.118893,0.11869],[0.005165,0.005201,0.005093,0.005119,0.005035,0.005103,0.005065,0.005122,0.005161,0.005204,0.005273,0.005271,0.005294,0.005205,0.0052,0.005113,0.005152,0.005092,0.005159,0.005105,0.005183,0.005127,0.005169,0.005126,0.005092,0.005065,0.005033,0.005101,0.005149,0.005311],[0.091992,0.092461,0.092899,0.093879,0.093896,0.094416,0.09348,0.093229,0.09178,0.090933,0.089515,0.088693,0.088092,0.088393,0.089253,0.090252,0.091394,0.092088,0.093028,0.093199,0.093871,0.093478,0.093981,0.093444,0.094152,0.094774,0.096309,0.097497,0.098781,0.099789],[0.011455,0.011615,0.011716,0.011786,0.011903,0.011807,0.011981,0.011762,0.011968,0.011756,0.01191,0.011733,0.011859,0.011746,0.011863,0.011815,0.011901,0.011896,0.011911,0.011929,0.01182,0.011877,0.011598,0.011733,0.011441,0.011545,0.011299,0.011382,0.011202,0.011281],[0.051108,0.050629,0.049504,0.048834,0.048164,0.04829,0.048375,0.049078,0.049791,0.05074,0.051601,0.052131,0.052111,0.051291,0.050312,0.049216,0.048583,0.047942,0.047813,0.04755,0.047819,0.047832,0.048265,0.048278,0.048179,0.047725,0.047427,0.047625,0.04828,0.049521],[0.114421,0.115845,0.116116,0.117241,0.117185,0.118108,0.117831,0.118173,0.118038,0.11789,0.117752,0.117159,0.1168,0.115728,0.115209,0.11397,0.113569,0.112329,0.112063,0.110852,0.110758,0.109615,0.109403,0.108548,0.108045,0.107532,0.106945,0.106784,0.106303,0.106375],[1.535103,1.574347,1.600018,1.636411,1.65091,1.689423,1.68935,1.719978,1.71038,1.724614,1.709613,1.706999,1.68198,1.658394,1.621935,1.584037,1.54739,1.506463,1.478248,1.439386,1.424724,1.389075,1.388974,1.357862,1.359236,1.337777,1.338782,1.328436,1.335023,1.339087],[0.04503,0.045933,0.046126,0.046406,0.04644,0.046151,0.046478,0.045832,0.046611,0.046127,0.047046,0.046827,0.047764,0.04748,0.047896,0.047244,0.047187,0.046449,0.046096,0.045423,0.044754,0.044338,0.043239,0.043393,0.042309,0.042424,0.041222,0.041186,0.040244,0.040495],[0.255808,0.256665,0.239012,0.242448,0.228307,0.238555,0.228764,0.237167,0.236877,0.242417,0.247744,0.248665,0.252361,0.244689,0.247104,0.239121,0.248208,0.243934,0.259865,0.257559,0.278351,0.275544,0.293264,0.290952,0.295695,0.293704,0.291335,0.295536,0.29609,0.309644],[0.080027,0.078245,0.078384,0.076589,0.077783,0.07716,0.07898,0.07967,0.080554,0.081476,0.081019,0.080805,0.077996,0.076012,0.072466,0.071653,0.069755,0.070648,0.069859,0.071636,0.071286,0.073176,0.073089,0.073333,0.072403,0.070491,0.069849,0.068995,0.070376,0.070761],[0.10443,0.103928,0.105776,0.105496,0.108871,0.106535,0.111099,0.107726,0.111764,0.108716,0.110801,0.108139,0.109344,0.108556,0.110246,0.111018,0.111615,0.112536,0.111226,0.112311,0.108852,0.110962,0.105978,0.109773,0.106958,0.111715,0.112145,0.117408,0.119079,0.123109],[0.153876,0.15481,0.15283,0.156105,0.15695,0.161602,0.164144,0.16707,0.170952,0.171733,0.174361,0.172097,0.172023,0.167308,0.167022,0.163681,0.165331,0.163482,0.16596,0.164569,0.166663,0.164965,0.16406,0.162019,0.157542,0.155033,0.150154,0.149347,0.14575,0.146061],[0.262498,0.269142,0.276333,0.279026,0.28432,0.281394,0.285254,0.278757,0.280156,0.273028,0.271828,0.265387,0.263298,0.258595,0.256542,0.25397,0.252082,0.25138,0.248815,0.249024,0.244096,0.244586,0.236475,0.23655,0.227737,0.224858,0.215976,0.211461,0.203737,0.199211],[0.000509,0.000514,0.000518,0.000519,0.000521,0.000519,0.000522,0.000519,0.000522,0.000519,0.000523,0.000521,0.000524,0.000522,0.000521,0.000518,0.000517,0.000517,0.000517,0.000519,0.000519,0.000523,0.000521,0.000526,0.000523,0.000524,0.000519,0.000518,0.000514,0.000516],[0.744529,0.75951,0.764297,0.78268,0.782963,0.801328,0.794541,0.806148,0.798719,0.802401,0.796588,0.795329,0.792365,0.790253,0.7914,0.786151,0.786653,0.775888,0.776316,0.762072,0.765642,0.750213,0.757513,0.747008,0.756796,0.760722,0.775706,0.788057,0.802437,0.817619],[0.103997,0.102952,0.102602,0.10186,0.102245,0.102359,0.103499,0.10457,0.105982,0.107591,0.108944,0.110422,0.111103,0.111871,0.111914,0.112521,0.112426,0.112826,0.112241,0.112065,0.110794,0.109864,0.107977,0.105978,0.103477,0.100591,0.0981,0.095641,0.094027,0.092286],[0.065664,0.065252,0.06387,0.06353,0.062548,0.062579,0.062066,0.062037,0.062128,0.062039,0.062309,0.061892,0.061793,0.060869,0.06078,0.060215,0.060693,0.06051,0.06124,0.061121,0.061814,0.061603,0.061804,0.061535,0.06103,0.0608,0.060471,0.061143,0.061666,0.063188],[0.024789,0.02464,0.024392,0.024031,0.02382,0.023417,0.023452,0.023149,0.023388,0.023279,0.023591,0.023607,0.02388,0.023856,0.023939,0.023841,0.02382,0.023785,0.023763,0.023862,0.023828,0.024108,0.024049,0.024494,0.024434,0.02471,0.024509,0.024546,0.024239,0.024118],[0.170527,0.170891,0.174081,0.175301,0.178178,0.178635,0.180122,0.180096,0.179334,0.17847,0.176336,0.175495,0.173797,0.17397,0.172232,0.171701,0.168999,0.16816,0.16563,0.1654,0.163628,0.164048,0.163558,0.164006,0.164724,0.164362,0.163568,0.159819,0.15581,0.149299],[0.004064,0.004043,0.004113,0.004085,0.004142,0.004103,0.00414,0.00413,0.00412,0.00413,0.004102,0.004131,0.00411,0.004164,0.004139,0.004186,0.004137,0.004172,0.00411,0.00414,0.004077,0.004108,0.00408,0.004092,0.004109,0.004102,0.004126,0.004082,0.004084,0.004005],[0.08337,0.081857,0.085446,0.083893,0.087432,0.085646,0.088545,0.08837,0.088815,0.08956,0.088584,0.090038,0.088775,0.091134,0.089465,0.091736,0.089086,0.091006,0.087626,0.089339,0.085576,0.08701,0.084416,0.08428,0.083387,0.08143,0.080688,0.076974,0.075585,0.070604],[0.059724,0.05821,0.061077,0.059107,0.061851,0.059286,0.061796,0.060702,0.061522,0.061733,0.061587,0.062907,0.062744,0.06532,0.064836,0.067344,0.065435,0.067224,0.063946,0.06521,0.061049,0.062133,0.058832,0.059132,0.058015,0.057419,0.05737,0.055721,0.055637,0.052888],[0.130123,0.128003,0.133935,0.131973,0.137247,0.136151,0.139768,0.142196,0.141617,0.145356,0.142938,0.147341,0.144413,0.14904,0.144701,0.147692,0.14149,0.143051,0.136143,0.136969,0.130599,0.130706,0.127843,0.125184,0.125273,0.120337,0.12035,0.113265,0.112241,0.104032],[0.58244,0.589855,0.595238,0.600267,0.607782,0.603881,0.613853,0.602146,0.612768,0.600023,0.606528,0.594488,0.599309,0.592461,0.600081,0.599564,0.606765,0.608465,0.611167,0.613023,0.60764,0.610302,0.594337,0.600283,0.583439,0.589588,0.578038,0.584961,0.576692,0.581887],[0.03299,0.033046,0.033173,0.032872,0.032628,0.032579,0.032262,0.032695,0.032371,0.033024,0.03293,0.033711,0.033651,0.033978,0.033214,0.032702,0.031571,0.030881,0.03002,0.029556,0.029283,0.02915,0.029726,0.02979,0.030713,0.030596,0.030956,0.030292,0.030206,0.029438],[0.094831,0.095431,0.09644,0.097592,0.099025,0.100493,0.10195,0.103345,0.104381,0.10524,0.105548,0.105614,0.105111,0.104412,0.103268,0.102079,0.100628,0.099278,0.097843,0.096604,0.095403,0.094378,0.093477,0.092552,0.091765,0.090804,0.089926,0.088776,0.08762,0.086169],[0.04087,0.041324,0.041085,0.04145,0.041244,0.041424,0.041322,0.041117,0.041296,0.040938,0.041172,0.040713,0.040912,0.040442,0.040771,0.040511,0.041015,0.040877,0.041373,0.041233,0.041561,0.041386,0.041241,0.04119,0.040677,0.040721,0.040214,0.040448,0.04005,0.040359],[0.010092,0.010096,0.010313,0.010288,0.010458,0.010372,0.010486,0.010446,0.010455,0.010463,0.010432,0.010509,0.010518,0.010691,0.010702,0.010846,0.010757,0.010828,0.010653,0.010679,0.010459,0.010469,0.010303,0.010288,0.010256,0.010225,0.010233,0.01011,0.010055,0.00983],[0.00394,0.003882,0.003896,0.003851,0.003871,0.003848,0.003861,0.003878,0.003865,0.003898,0.003876,0.003917,0.003892,0.003934,0.003907,0.003947,0.003916,0.003951,0.00392,0.003951,0.003923,0.003945,0.003947,0.003939,0.003961,0.003934,0.003966,0.003935,0.00397,0.003941],[0.03477,0.035159,0.03627,0.036611,0.037585,0.037908,0.038547,0.039002,0.038991,0.039312,0.038876,0.038992,0.038279,0.038253,0.037417,0.037364,0.036555,0.036545,0.035821,0.035863,0.035282,0.035283,0.035009,0.03463,0.03447,0.033706,0.033416,0.032367,0.031869,0.030548],[0.078066,0.078713,0.078507,0.078715,0.078978,0.07832,0.079452,0.078003,0.079831,0.078418,0.07994,0.078574,0.079651,0.078294,0.078833,0.077516,0.077573,0.076484,0.076134,0.075459,0.074561,0.074646,0.072862,0.074168,0.072505,0.073956,0.072586,0.073891,0.072812,0.073939],[0.032729,0.03268,0.03277,0.032923,0.033041,0.033073,0.032987,0.032811,0.032524,0.032188,0.031794,0.031416,0.031132,0.031124,0.031408,0.031905,0.032477,0.033083,0.033654,0.034161,0.034558,0.034868,0.035085,0.035219,0.035393,0.035788,0.036439,0.037232,0.038075,0.038958],[0.053407,0.054092,0.054356,0.055138,0.055562,0.056431,0.056893,0.057479,0.05794,0.058158,0.058377,0.058121,0.057906,0.057187,0.05683,0.056217,0.056153,0.055775,0.055897,0.05561,0.055762,0.055404,0.055214,0.05466,0.053883,0.053036,0.051965,0.051172,0.050139,0.049409],[0.087995,0.089789,0.088549,0.090575,0.090558,0.091593,0.093065,0.091937,0.095168,0.093178,0.096066,0.093346,0.095437,0.092392,0.094124,0.091421,0.092919,0.090603,0.091622,0.089779,0.089891,0.088957,0.086813,0.08797,0.084969,0.087016,0.084315,0.086732,0.084335,0.086602]],"ablations":{"stack v3.1 (the deployed model)":-2.0927,"damped trend baseline":-2.04,"without the record receiver":-2.082,"without carry (a=0)":-2.035,"carry-forward baseline":-2.5614,"record receiver alone":-3.5767},"board":[{"model":"damped linear trend (reference baseline)","who":"baseline","score":-2.039975,"url":""},{"model":"THE STACK v3.1 \u2014 recent-regime selection","who":"the stack (this page)","score":-2.09273,"url":"https://github.com/ArtaQuest/artatopics/blob/main/analysis/arxivtopics/competition/the_stack_v31.py"},{"model":"stack v5 \u2014 kernel wall members offered; shared-basis took a slice, transferred worse","who":"the stack","score":-2.121088,"url":"https://github.com/ArtaQuest/artatopics/blob/main/analysis/arxivtopics/competition/the_stack_v5.py"},{"model":"the stack v3 \u2014 six-wall selection","who":"the stack","score":-2.289728,"url":"https://github.com/ArtaQuest/artatopics/blob/main/analysis/arxivtopics/competition/the_stack.py"},{"model":"carry today forward (= every family's round-3 shrink verdict: lam 0)","who":"baseline","score":-2.561381,"url":""},{"model":"random sky-feature ridge swarm","who":"ashranet \u00b7 GPU","score":-3.592269,"url":"https://www.kaggle.com/code/ashranet/astro-ensemble-entry-sky-swarm"},{"model":"neural shared-basis receiver","who":"ashraasn \u00b7 GPU","score":-5.173915,"url":"https://www.kaggle.com/code/ashraasn/astro-ensemble-entry-shared-basis"},{"model":"deep per-field phasor","who":"arash0ash \u00b7 GPU","score":-5.603512,"url":"https://www.kaggle.com/code/arash0ash/astro-ensemble-entry-deep-phasor"},{"model":"pooled gradient boosting (round 1)","who":"artafather \u00b7 GPU","score":-62.370848,"url":"https://www.kaggle.com/code/artafather/astro-ensemble-entry-boosted-sky"}]}