x <- c(1.31681926423341,0.906271052239112,0.860800999325354,1.26838001238642,-0.750071092139783,-1.79108745245462,-0.721478006119167,0.00123440024475206,-0.00300353986237043,-0.48428289850503,-0.833454710677525,-0.465812233878174,-2.18930196030998,-1.33360647237676,-1.00541005824721,-2.21593338030557,-1.01430572226508,-0.743357099446482,1.80951187046007,0.510125997612323,0.689614005231026,-2.25947688529785,0.790328467334631,-0.595498647300052,1.54648741902938,0.944162862744473,-0.838113648203158,0.984246008384279,-0.522687541243043,-1.41060801438807,0.177274009741176,0.861058694807454,-0.548191096658936,0.0503482331901317,0.396922494209375,0.494280247044342,-0.8892862444551,-0.613929977451792,-0.0105360016586294,-2.56460240213328,0.049506169603417,-0.261438228867387,0.210532904499915,0.621751534323734,0.0685930718504626,0.467878634652523,-1.70862151963755,0.190568197200345,-0.67718813231342,1.51436578885152,-0.422307178442854,0.142871390070676,-0.420497437625567,1.42876803947234,0.301371377191005,-1.3887624676478,0.171059374291883,0.435122249983758,0.171769721133459,0.53486456689593,1.40169260769674,-1.27677219513322,-0.919758227772094,-1.29820549226004,0.2100032160162,-0.329052542746102,0.332688819056432,-1.25472987113212,-0.54788857827463,0.089336204983541,-0.179762004339616,0.0835195293753796,0.652496827356337,1.11693273572869,-0.678322304582867,-0.616228272700227,-1.86881395692553,-0.0208179265390595,0.807402928556834,-0.025527890811822,2.32602391178758,-1.48229737562744,-0.527450954636698,-1.03269157792477,-0.59423006066283,1.06697209287581,0.0862065240391376,0.454038532809727,0.937654405996211,0.963546321083228,0.210287493166793,-1.40737381648558,-0.0139179689828298,-0.155643769745489,0.589188463359636,-0.397338755417279,0.213398699245504,-1.09866287966246,-0.223700755825209,0.0410955814916758)
y <- c(0.614518322702384,1.50502124305456,0.658114418744129,0.929484771084957,-0.797372315775971,-1.51406854181387,-0.778887179770648,0.397998181121638,-0.0217066356999954,-0.493413231095514,-0.788308044333304,-0.401312865498137,-1.69819674475435,-0.730393215782001,-0.843991268893968,-1.73319739770001,-0.838640647717274,-0.670907905846712,2.58876322849837,0.988891038380523,0.00713221353037818,-1.84110677272557,0.976690558469646,-0.591240070485542,1.43689362732713,0.907350654925014,-0.105815505383319,0.539163911454251,-1.06313307469876,-1.03181316204672,0.0699532403388924,0.863114844913635,-0.637718423002295,-0.614514949511177,0.209369146008931,1.13807611314502,-0.974319166070252,-0.347894541892207,0.369377675040175,-2.0992948577812,0.730816411347972,-0.126347695965268,0.348042093759591,0.291339841830429,-0.135927410926481,0.395364861757821,-1.32882466267507,0.371423030149304,-0.941954734452852,1.77137831328942,-0.571161672067956,0.0805500671302069,-0.280871694974556,1.28456787714291,0.305028385391719,-0.790762848240358,-0.0577890128920374,0.631820369957661,0.0669472768240103,0.137391805147431,1.0496329260068,-1.08897984351056,-0.630838339241912,-1.54837372260105,-0.0186154292722952,-0.417292056868148,0.0749558553950518,-1.05096075458409,-0.726974425303811,0.0735289776505144,-0.646080446881435,0.23607537210987,0.0991110904610973,1.41477198788318,-0.101485127514019,-0.761985718791824,-1.75937198818216,0.212845866676527,1.08480566121402,0.0176488291831941,1.93396591747602,-1.35267626181981,-0.751422853806425,-0.827392375780158,-0.41074687629657,0.789162103603119,-0.3287642283146,-0.108792894724472,0.535055976359191,1.23680688037715,0.144629256901632,-1.1115455006511,-0.471545010722115,-0.0994727607799382,0.532819050452821,-0.198479939642223,0.578143276332904,-1.10305549992989,-0.0466645995805877,-0.392244413151762)
N <- 100
