R : Copyright 2005, The R Foundation for Statistical Computing Version 2.1.1 (2005-06-20), ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for a HTML browser interface to help. Type 'q()' to quit R. > ### *
> ### > attach(NULL, name = "CheckExEnv") > assign(".CheckExEnv", as.environment(2), pos = length(search())) # base > ## add some hooks to label plot pages for base and grid graphics > setHook("plot.new", ".newplot.hook") > setHook("persp", ".newplot.hook") > setHook("grid.newpage", ".gridplot.hook") > > assign("cleanEx", + function(env = .GlobalEnv) { + rm(list = ls(envir = env, all.names = TRUE), envir = env) + RNGkind("default", "default") + set.seed(1) + options(warn = 1) + delayedAssign("T", stop("T used instead of TRUE"), + assign.env = .CheckExEnv) + delayedAssign("F", stop("F used instead of FALSE"), + assign.env = .CheckExEnv) + sch <- search() + newitems <- sch[! sch %in% .oldSearch] + for(item in rev(newitems)) + eval(substitute(detach(item), list(item=item))) + missitems <- .oldSearch[! .oldSearch %in% sch] + if(length(missitems)) + warning("items ", paste(missitems, collapse=", "), + " have been removed from the search path") + }, + env = .CheckExEnv) > assign("..nameEx", "__{must remake R-ex/*.R}__", env = .CheckExEnv) # for now > assign("ptime", proc.time(), env = .CheckExEnv) > grDevices::postscript("geepack-Examples.ps") > assign("par.postscript", graphics::par(no.readonly = TRUE), env = .CheckExEnv) > options(contrasts = c(unordered = "contr.treatment", ordered = "contr.poly")) > options(warn = 1) > library('geepack') > > assign(".oldSearch", search(), env = .CheckExEnv) > assign(".oldNS", loadedNamespaces(), env = .CheckExEnv) > cleanEx(); ..nameEx <- "dietox" > > ### * dietox > > flush(stderr()); flush(stdout()) > > ### Name: dietox > ### Title: Growth curves of pigs in a 3x3 factorial experiment > ### Aliases: dietox > ### Keywords: datasets > > ### ** Examples > > data(dietox) > dietox$Cu <- as.factor(dietox$Cu) > gee01 <- geeglm (Weight ~ Time + Cu + Cu * Time, id =Pig, data = dietox, + family=gaussian,corstr="ex") > > mf <- formula(Weight~Cu*(Time+I(Time^2)+I(Time^3))) > gee1 <- geeglm(mf, data=dietox, id=Pig, family=poisson("identity"),corstr="ar1") Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 > summary(gee1) Call: geeglm(formula = mf, family = poisson("identity"), data = dietox, id = Pig, corstr = "ar1") Coefficients: Estimate Std.err Wald p(>W) (Intercept) 21.8578677803 0.693144489 9.944159e+02 0.000000e+00 Cu2 0.5267336747 0.941360576 3.130907e-01 5.757898e-01 Cu3 0.0427835423 1.036309875 1.704411e-03 9.670691e-01 Time 2.8851574386 0.360257238 6.413773e+01 1.110223e-15 I(Time^2) 0.6140424145 0.070164324 7.658859e+01 0.000000e+00 I(Time^3) -0.0262947719 0.003821783 4.733765e+01 5.975331e-12 Cu2:Time -0.4054242617 0.637125038 4.049208e-01 5.245588e-01 Cu3:Time 0.8569406775 0.609257701 1.978333e+00 1.595661e-01 Cu2:I(Time^2) 0.0182862906 0.115432611 2.509540e-02 8.741296e-01 Cu3:I(Time^2) -0.0960713285 0.109492312 7.698752e-01 3.802557e-01 Cu2:I(Time^3) 0.0005466981 0.005989598 8.331048e-03 9.272744e-01 Cu3:I(Time^3) 0.0026996115 0.005624336 2.303881e-01 6.312362e-01 Estimated Scale Parameters: Estimate Std.err (Intercept) 0.7752475 0.1433446 Correlation: Structure = ar1 Link = identity Estimated Correlation Parameters: Estimate Std.err alpha 0.957232 0.009668658 Number of clusters: 72 Maximum cluster size: 12 > anova(gee1) Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Analysis of 'Wald statistic' Table Model: poisson, link: identity Response: Weight Terms added sequentially (first to last) Df X2 P(>|Chi|) Cu 2 1.4 0.5 Time 1 6905.8 0.0 I(Time^2) 1 107.6 0.0 I(Time^3) 1 105.5 0.0 Cu:Time 2 1.7 0.4 Cu:I(Time^2) 2 6.6 0.03653 Cu:I(Time^3) 2 0.2 0.9 > > > > > cleanEx(); ..nameEx <- "geeglm" > > ### * geeglm > > flush(stderr()); flush(stdout()) > > ### Name: geeglm > ### Title: Fit Generalized Estimating Equations (GEE) > ### Aliases: geeglm > ### Keywords: models > > ### ** Examples > > data(dietox) > dietox$Cu <- as.factor(dietox$Cu) > mf <- formula(Weight~Cu*(Time+I(Time^2)+I(Time^3))) > gee1 <- geeglm(mf, data=dietox, id=Pig, family=poisson("identity"),corstr="ar1") Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 > gee1 Call: geeglm(formula = mf, family = poisson("identity"), data = dietox, id = Pig, corstr = "ar1") Coefficients: (Intercept) Cu2 Cu3 Time I(Time^2) 21.8578677803 0.5267336747 0.0427835423 2.8851574386 0.6140424145 I(Time^3) Cu2:Time Cu3:Time Cu2:I(Time^2) Cu3:I(Time^2) -0.0262947719 -0.4054242617 0.8569406775 0.0182862906 -0.0960713285 Cu2:I(Time^3) Cu3:I(Time^3) 0.0005466981 0.0026996115 Degrees of Freedom: 861 Total (i.e. Null); 849 Residual Scale Link: identity Estimated Scale Parameters: [1] 0.7752475 Correlation: Structure = ar1 Link = identity Estimated Correlation Parameters: alpha 0.957232 Number of clusters: 72 Maximum cluster size: 12 > summary(gee1) Call: geeglm(formula = mf, family = poisson("identity"), data = dietox, id = Pig, corstr = "ar1") Coefficients: Estimate Std.err Wald p(>W) (Intercept) 21.8578677803 0.693144489 9.944159e+02 0.000000e+00 Cu2 0.5267336747 0.941360576 3.130907e-01 5.757898e-01 Cu3 0.0427835423 1.036309875 1.704411e-03 9.670691e-01 Time 2.8851574386 0.360257238 6.413773e+01 1.110223e-15 I(Time^2) 0.6140424145 0.070164324 7.658859e+01 0.000000e+00 I(Time^3) -0.0262947719 0.003821783 4.733765e+01 5.975331e-12 Cu2:Time -0.4054242617 0.637125038 4.049208e-01 5.245588e-01 Cu3:Time 0.8569406775 0.609257701 1.978333e+00 1.595661e-01 Cu2:I(Time^2) 0.0182862906 0.115432611 2.509540e-02 8.741296e-01 Cu3:I(Time^2) -0.0960713285 0.109492312 7.698752e-01 3.802557e-01 Cu2:I(Time^3) 0.0005466981 0.005989598 8.331048e-03 9.272744e-01 Cu3:I(Time^3) 0.0026996115 0.005624336 2.303881e-01 6.312362e-01 Estimated Scale Parameters: Estimate Std.err (Intercept) 0.7752475 0.1433446 Correlation: Structure = ar1 Link = identity Estimated Correlation Parameters: Estimate Std.err alpha 0.957232 0.009668658 Number of clusters: 72 Maximum cluster size: 12 > > mf2 <- formula(Weight~Cu*Time+I(Time^2)+I(Time^3)) > gee2 <- geeglm(mf2, data=dietox, id=Pig, family=poisson("identity"),corstr="ar1") Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 > anova(gee2) Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.500000 Warning: non-integer x = 27.599990 Warning: non-integer x = 36.500000 Warning: non-integer x = 40.299990 Warning: non-integer x = 49.099980 Warning: non-integer x = 55.399990 Warning: non-integer x = 59.599980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.500000 Warning: non-integer x = 91.599980 Warning: non-integer x = 98.599980 Warning: non-integer x = 31.799990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 71.699950 Warning: non-integer x = 78.199950 Warning: non-integer x = 85.799990 Warning: non-integer x = 91.799990 Warning: non-integer x = 100.199950 Warning: non-integer x = 23.599990 Warning: non-integer x = 36.299990 Warning: non-integer x = 42.399990 Warning: non-integer x = 50.500000 Warning: non-integer x = 57.599980 Warning: non-integer x = 66.599980 Warning: non-integer x = 74.199950 Warning: non-integer x = 89.299990 Warning: non-integer x = 26.899990 Warning: non-integer x = 32.299990 Warning: non-integer x = 38.599980 Warning: non-integer x = 57.799990 Warning: non-integer x = 58.599980 Warning: non-integer x = 65.899960 Warning: non-integer x = 71.199950 Warning: non-integer x = 79.399960 Warning: non-integer x = 91.699950 Warning: non-integer x = 32.699980 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.500000 Warning: non-integer x = 48.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.199950 Warning: non-integer x = 73.799990 Warning: non-integer x = 80.299990 Warning: non-integer x = 85.500000 Warning: non-integer x = 93.099980 Warning: non-integer x = 35.199980 Warning: non-integer x = 41.500000 Warning: non-integer x = 47.699980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.599980 Warning: non-integer x = 79.099980 Warning: non-integer x = 85.699950 Warning: non-integer x = 92.500000 Warning: non-integer x = 101.099980 Warning: non-integer x = 21.200000 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.399990 Warning: non-integer x = 36.799990 Warning: non-integer x = 43.199980 Warning: non-integer x = 51.099980 Warning: non-integer x = 59.299990 Warning: non-integer x = 72.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 93.799990 Warning: non-integer x = 95.199950 Warning: non-integer x = 29.599990 Warning: non-integer x = 34.199980 Warning: non-integer x = 63.500000 Warning: non-integer x = 72.699950 Warning: non-integer x = 78.699950 Warning: non-integer x = 84.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 100.199950 Warning: non-integer x = 22.399990 Warning: non-integer x = 25.200000 Warning: non-integer x = 36.500000 Warning: non-integer x = 43.299990 Warning: non-integer x = 58.099980 Warning: non-integer x = 70.699950 Warning: non-integer x = 78.099980 Warning: non-integer x = 83.500000 Warning: non-integer x = 28.200000 Warning: non-integer x = 35.299990 Warning: non-integer x = 42.699980 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.199980 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.500000 Warning: non-integer x = 76.099980 Warning: non-integer x = 86.099980 Warning: non-integer x = 92.500000 Warning: non-integer x = 37.799990 Warning: non-integer x = 43.299990 Warning: non-integer x = 51.500000 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.500000 Warning: non-integer x = 80.399960 Warning: non-integer x = 106.099980 Warning: non-integer x = 22.799990 Warning: non-integer x = 33.899990 Warning: non-integer x = 37.699980 Warning: non-integer x = 41.399990 Warning: non-integer x = 48.199980 Warning: non-integer x = 53.699980 Warning: non-integer x = 62.599980 Warning: non-integer x = 70.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 23.799990 Warning: non-integer x = 37.099980 Warning: non-integer x = 43.199980 Warning: non-integer x = 50.399990 Warning: non-integer x = 60.199980 Warning: non-integer x = 82.399960 Warning: non-integer x = 91.199950 Warning: non-integer x = 101.799990 Warning: non-integer x = 109.599980 Warning: non-integer x = 27.399990 Warning: non-integer x = 32.199980 Warning: non-integer x = 37.899990 Warning: non-integer x = 45.899990 Warning: non-integer x = 51.199980 Warning: non-integer x = 57.099980 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.099980 Warning: non-integer x = 91.599980 Warning: non-integer x = 100.500000 Warning: non-integer x = 105.299990 Warning: non-integer x = 27.099990 Warning: non-integer x = 30.299990 Warning: non-integer x = 38.199980 Warning: non-integer x = 43.199980 Warning: non-integer x = 52.500000 Warning: non-integer x = 67.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 81.199950 Warning: non-integer x = 87.500000 Warning: non-integer x = 94.399960 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.500000 Warning: non-integer x = 31.599990 Warning: non-integer x = 37.399990 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.199980 Warning: non-integer x = 70.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 86.199950 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.899960 Warning: non-integer x = 104.500000 Warning: non-integer x = 23.099990 Warning: non-integer x = 30.099990 Warning: non-integer x = 40.699980 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.099980 Warning: non-integer x = 60.500000 Warning: non-integer x = 73.500000 Warning: non-integer x = 77.299990 Warning: non-integer x = 86.899960 Warning: non-integer x = 96.399960 Warning: non-integer x = 21.500000 Warning: non-integer x = 24.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 39.099980 Warning: non-integer x = 45.299990 Warning: non-integer x = 59.599980 Warning: non-integer x = 69.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 84.899960 Warning: non-integer x = 93.399960 Warning: non-integer x = 99.299990 Warning: non-integer x = 32.199980 Warning: non-integer x = 36.399990 Warning: non-integer x = 41.799990 Warning: non-integer x = 48.199980 Warning: non-integer x = 55.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 68.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 86.399960 Warning: non-integer x = 96.699950 Warning: non-integer x = 111.099980 Warning: non-integer x = 115.399960 Warning: non-integer x = 24.200000 Warning: non-integer x = 29.200000 Warning: non-integer x = 36.199980 Warning: non-integer x = 43.099980 Warning: non-integer x = 49.199980 Warning: non-integer x = 70.899960 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 100.599980 Warning: non-integer x = 24.500000 Warning: non-integer x = 28.399990 Warning: non-integer x = 41.899990 Warning: non-integer x = 55.599980 Warning: non-integer x = 64.099980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.899960 Warning: non-integer x = 103.799990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.599990 Warning: non-integer x = 35.199980 Warning: non-integer x = 37.299990 Warning: non-integer x = 40.799990 Warning: non-integer x = 47.699980 Warning: non-integer x = 64.599980 Warning: non-integer x = 71.199950 Warning: non-integer x = 80.500000 Warning: non-integer x = 85.899960 Warning: non-integer x = 28.899990 Warning: non-integer x = 35.799990 Warning: non-integer x = 47.500000 Warning: non-integer x = 56.399990 Warning: non-integer x = 63.699980 Warning: non-integer x = 70.299990 Warning: non-integer x = 89.199950 Warning: non-integer x = 96.299990 Warning: non-integer x = 99.799990 Warning: non-integer x = 28.299990 Warning: non-integer x = 30.099990 Warning: non-integer x = 38.299990 Warning: non-integer x = 44.500000 Warning: non-integer x = 51.599980 Warning: non-integer x = 57.599980 Warning: non-integer x = 82.299990 Warning: non-integer x = 99.699950 Warning: non-integer x = 106.699950 Warning: non-integer x = 31.500000 Warning: non-integer x = 34.799990 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 62.199980 Warning: non-integer x = 70.699950 Warning: non-integer x = 86.199950 Warning: non-integer x = 94.699950 Warning: non-integer x = 109.199950 Warning: non-integer x = 27.700000 Warning: non-integer x = 33.599980 Warning: non-integer x = 46.699980 Warning: non-integer x = 54.799990 Warning: non-integer x = 69.799990 Warning: non-integer x = 83.599980 Warning: non-integer x = 88.199950 Warning: non-integer x = 96.799990 Warning: non-integer x = 102.299990 Warning: non-integer x = 22.599990 Warning: non-integer x = 28.500000 Warning: non-integer x = 32.699980 Warning: non-integer x = 39.899990 Warning: non-integer x = 47.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 67.199950 Warning: non-integer x = 74.099980 Warning: non-integer x = 89.399960 Warning: non-integer x = 93.500000 Warning: non-integer x = 27.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.299990 Warning: non-integer x = 45.799990 Warning: non-integer x = 53.799990 Warning: non-integer x = 68.699950 Warning: non-integer x = 75.799990 Warning: non-integer x = 80.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 91.399960 Warning: non-integer x = 99.799990 Warning: non-integer x = 26.200000 Warning: non-integer x = 31.099990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.199980 Warning: non-integer x = 49.199980 Warning: non-integer x = 55.599980 Warning: non-integer x = 62.599980 Warning: non-integer x = 72.099980 Warning: non-integer x = 77.500000 Warning: non-integer x = 83.799990 Warning: non-integer x = 93.399960 Warning: non-integer x = 98.399960 Warning: non-integer x = 31.200000 Warning: non-integer x = 38.799990 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.599980 Warning: non-integer x = 59.199980 Warning: non-integer x = 67.099980 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.799990 Warning: non-integer x = 71.599980 Warning: non-integer x = 97.399960 Warning: non-integer x = 107.099980 Warning: non-integer x = 24.599990 Warning: non-integer x = 25.799990 Warning: non-integer x = 28.599990 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.099980 Warning: non-integer x = 36.099980 Warning: non-integer x = 49.299990 Warning: non-integer x = 57.899990 Warning: non-integer x = 75.699950 Warning: non-integer x = 81.399960 Warning: non-integer x = 88.699950 Warning: non-integer x = 29.399990 Warning: non-integer x = 34.599980 Warning: non-integer x = 40.599980 Warning: non-integer x = 46.599980 Warning: non-integer x = 62.500000 Warning: non-integer x = 78.299990 Warning: non-integer x = 83.199950 Warning: non-integer x = 25.799990 Warning: non-integer x = 29.200000 Warning: non-integer x = 35.799990 Warning: non-integer x = 41.099980 Warning: non-integer x = 55.199980 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.799990 Warning: non-integer x = 76.399960 Warning: non-integer x = 83.199950 Warning: non-integer x = 93.199950 Warning: non-integer x = 32.899990 Warning: non-integer x = 46.199980 Warning: non-integer x = 53.500000 Warning: non-integer x = 58.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 80.799990 Warning: non-integer x = 84.500000 Warning: non-integer x = 26.200000 Warning: non-integer x = 30.399990 Warning: non-integer x = 37.399990 Warning: non-integer x = 49.500000 Warning: non-integer x = 55.099980 Warning: non-integer x = 64.199950 Warning: non-integer x = 75.599980 Warning: non-integer x = 83.299990 Warning: non-integer x = 87.399960 Warning: non-integer x = 94.699950 Warning: non-integer x = 98.399960 Warning: non-integer x = 26.799990 Warning: non-integer x = 31.099990 Warning: non-integer x = 37.799990 Warning: non-integer x = 44.599980 Warning: non-integer x = 50.500000 Warning: non-integer x = 58.299990 Warning: non-integer x = 68.299990 Warning: non-integer x = 75.099980 Warning: non-integer x = 84.399960 Warning: non-integer x = 87.299990 Warning: non-integer x = 96.399960 Warning: non-integer x = 104.399960 Warning: non-integer x = 24.099990 Warning: non-integer x = 28.099990 Warning: non-integer x = 32.500000 Warning: non-integer x = 40.599980 Warning: non-integer x = 53.799990 Warning: non-integer x = 61.199980 Warning: non-integer x = 71.899960 Warning: non-integer x = 79.500000 Warning: non-integer x = 87.399960 Warning: non-integer x = 93.299990 Warning: non-integer x = 101.599980 Warning: non-integer x = 25.099990 Warning: non-integer x = 23.200000 Warning: non-integer x = 28.899990 Warning: non-integer x = 36.799990 Warning: non-integer x = 44.199980 Warning: non-integer x = 52.799990 Warning: non-integer x = 62.199980 Warning: non-integer x = 69.399960 Warning: non-integer x = 78.099980 Warning: non-integer x = 88.799990 Warning: non-integer x = 102.399960 Warning: non-integer x = 106.799990 Warning: non-integer x = 24.700000 Warning: non-integer x = 28.899990 Warning: non-integer x = 34.599980 Warning: non-integer x = 42.199980 Warning: non-integer x = 48.199980 Warning: non-integer x = 54.399990 Warning: non-integer x = 62.500000 Warning: non-integer x = 69.799990 Warning: non-integer x = 78.599980 Warning: non-integer x = 96.399960 Warning: non-integer x = 103.199950 Warning: non-integer x = 26.599990 Warning: non-integer x = 33.099980 Warning: non-integer x = 38.399990 Warning: non-integer x = 46.599980 Warning: non-integer x = 52.299990 Warning: non-integer x = 61.500000 Warning: non-integer x = 69.299990 Warning: non-integer x = 74.199950 Warning: non-integer x = 80.199950 Warning: non-integer x = 87.199950 Warning: non-integer x = 94.799990 Warning: non-integer x = 30.599990 Warning: non-integer x = 37.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 47.399990 Warning: non-integer x = 56.599980 Warning: non-integer x = 62.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 86.799990 Warning: non-integer x = 94.199950 Warning: non-integer x = 101.899960 Warning: non-integer x = 112.500000 Warning: non-integer x = 24.200000 Warning: non-integer x = 25.399990 Warning: non-integer x = 30.700000 Warning: non-integer x = 35.599980 Warning: non-integer x = 42.799990 Warning: non-integer x = 49.500000 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 81.199950 Warning: non-integer x = 85.199950 Warning: non-integer x = 90.199950 Warning: non-integer x = 25.200000 Warning: non-integer x = 29.799990 Warning: non-integer x = 35.699980 Warning: non-integer x = 55.899990 Warning: non-integer x = 63.500000 Warning: non-integer x = 79.500000 Warning: non-integer x = 83.599980 Warning: non-integer x = 89.399960 Warning: non-integer x = 98.500000 Warning: non-integer x = 23.500000 Warning: non-integer x = 25.899990 Warning: non-integer x = 32.199980 Warning: non-integer x = 32.399990 Warning: non-integer x = 29.799990 Warning: non-integer x = 32.799990 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.799990 Warning: non-integer x = 72.099980 Warning: non-integer x = 81.399960 Warning: non-integer x = 26.599990 Warning: non-integer x = 38.199980 Warning: non-integer x = 46.399990 Warning: non-integer x = 53.199980 Warning: non-integer x = 59.599980 Warning: non-integer x = 66.199950 Warning: non-integer x = 72.599980 Warning: non-integer x = 80.099980 Warning: non-integer x = 97.699950 Warning: non-integer x = 29.299990 Warning: non-integer x = 45.399990 Warning: non-integer x = 51.799990 Warning: non-integer x = 58.799990 Warning: non-integer x = 62.599980 Warning: non-integer x = 71.599980 Warning: non-integer x = 76.699950 Warning: non-integer x = 81.699950 Warning: non-integer x = 86.399960 Warning: non-integer x = 92.099980 Warning: non-integer x = 30.099990 Warning: non-integer x = 37.099980 Warning: non-integer x = 53.599980 Warning: non-integer x = 61.099980 Warning: non-integer x = 78.199950 Warning: non-integer x = 87.099980 Warning: non-integer x = 94.399960 Warning: non-integer x = 102.500000 Warning: non-integer x = 107.500000 Warning: non-integer x = 35.399990 Warning: non-integer x = 48.599980 Warning: non-integer x = 56.399990 Warning: non-integer x = 75.500000 Warning: non-integer x = 77.799990 Warning: non-integer x = 85.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 27.599990 Warning: non-integer x = 30.599990 Warning: non-integer x = 38.699980 Warning: non-integer x = 47.199980 Warning: non-integer x = 54.099980 Warning: non-integer x = 61.500000 Warning: non-integer x = 68.500000 Warning: non-integer x = 75.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.199950 Warning: non-integer x = 98.399960 Warning: non-integer x = 105.399960 Warning: non-integer x = 27.099990 Warning: non-integer x = 42.500000 Warning: non-integer x = 50.099980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.500000 Warning: non-integer x = 80.500000 Warning: non-integer x = 108.399960 Warning: non-integer x = 19.399990 Warning: non-integer x = 21.399990 Warning: non-integer x = 25.299990 Warning: non-integer x = 31.899990 Warning: non-integer x = 37.599980 Warning: non-integer x = 43.699980 Warning: non-integer x = 48.899990 Warning: non-integer x = 53.699980 Warning: non-integer x = 59.299990 Warning: non-integer x = 64.899960 Warning: non-integer x = 65.799990 Warning: non-integer x = 24.899990 Warning: non-integer x = 29.700000 Warning: non-integer x = 33.799990 Warning: non-integer x = 38.799990 Warning: non-integer x = 48.299990 Warning: non-integer x = 52.899990 Warning: non-integer x = 70.399960 Warning: non-integer x = 76.799990 Warning: non-integer x = 83.299990 Warning: non-integer x = 102.699950 Warning: non-integer x = 24.599990 Warning: non-integer x = 34.599980 Warning: non-integer x = 41.500000 Warning: non-integer x = 49.699980 Warning: non-integer x = 56.500000 Warning: non-integer x = 66.899960 Warning: non-integer x = 75.799990 Warning: non-integer x = 84.599980 Warning: non-integer x = 98.799990 Warning: non-integer x = 107.199950 Warning: non-integer x = 34.500000 Warning: non-integer x = 40.399990 Warning: non-integer x = 53.500000 Warning: non-integer x = 60.199980 Warning: non-integer x = 68.599980 Warning: non-integer x = 73.399960 Warning: non-integer x = 78.500000 Warning: non-integer x = 90.599980 Warning: non-integer x = 97.199950 Warning: non-integer x = 24.299990 Warning: non-integer x = 28.399990 Warning: non-integer x = 40.299990 Warning: non-integer x = 46.199980 Warning: non-integer x = 51.899990 Warning: non-integer x = 58.099980 Warning: non-integer x = 62.599980 Warning: non-integer x = 68.199950 Warning: non-integer x = 78.399960 Warning: non-integer x = 87.500000 Warning: non-integer x = 90.399960 Warning: non-integer x = 34.699980 Warning: non-integer x = 42.799990 Warning: non-integer x = 48.399990 Warning: non-integer x = 53.299990 Warning: non-integer x = 71.099980 Warning: non-integer x = 77.399960 Warning: non-integer x = 94.500000 Warning: non-integer x = 104.599980 Warning: non-integer x = 26.599990 Warning: non-integer x = 28.200000 Warning: non-integer x = 38.399990 Warning: non-integer x = 45.799990 Warning: non-integer x = 54.899990 Warning: non-integer x = 60.099980 Warning: non-integer x = 56.899990 Warning: non-integer x = 64.899960 Warning: non-integer x = 81.899960 Warning: non-integer x = 90.899960 Warning: non-integer x = 27.099990 Warning: non-integer x = 34.699980 Warning: non-integer x = 40.699980 Warning: non-integer x = 47.599980 Warning: non-integer x = 56.500000 Warning: non-integer x = 72.299990 Warning: non-integer x = 95.099980 Warning: non-integer x = 105.699950 Warning: non-integer x = 29.500000 Warning: non-integer x = 31.399990 Warning: non-integer x = 39.399990 Warning: non-integer x = 44.799990 Warning: non-integer x = 50.299990 Warning: non-integer x = 65.599980 Warning: non-integer x = 72.399960 Warning: non-integer x = 80.199950 Warning: non-integer x = 90.399960 Warning: non-integer x = 99.099980 Warning: non-integer x = 22.299990 Warning: non-integer x = 24.700000 Warning: non-integer x = 30.399990 Warning: non-integer x = 36.899990 Warning: non-integer x = 44.099980 Warning: non-integer x = 52.799990 Warning: non-integer x = 60.299990 Warning: non-integer x = 67.799990 Warning: non-integer x = 75.399960 Warning: non-integer x = 87.599980 Warning: non-integer x = 101.399960 Warning: non-integer x = 24.799990 Warning: non-integer x = 35.799990 Warning: non-integer x = 42.299990 Warning: non-integer x = 50.899990 Warning: non-integer x = 57.799990 Warning: non-integer x = 64.799990 Warning: non-integer x = 71.799990 Warning: non-integer x = 83.799990 Warning: non-integer x = 92.099980 Warning: non-integer x = 32.500000 Warning: non-integer x = 38.799990 Warning: non-integer x = 47.799990 Warning: non-integer x = 54.500000 Warning: non-integer x = 70.099980 Warning: non-integer x = 76.599980 Warning: non-integer x = 86.199950 Warning: non-integer x = 95.799990 Warning: non-integer x = 101.399960 Warning: non-integer x = 112.299990 Warning: non-integer x = 32.399990 Warning: non-integer x = 38.199980 Warning: non-integer x = 44.699980 Warning: non-integer x = 53.199980 Warning: non-integer x = 62.399990 Warning: non-integer x = 70.500000 Warning: non-integer x = 72.799990 Warning: non-integer x = 86.599980 Warning: non-integer x = 93.299990 Warning: non-integer x = 104.199950 Warning: non-integer x = 34.199980 Warning: non-integer x = 42.099980 Warning: non-integer x = 50.099980 Warning: non-integer x = 57.599980 Warning: non-integer x = 62.299990 Warning: non-integer x = 76.099980 Warning: non-integer x = 81.500000 Warning: non-integer x = 84.299990 Warning: non-integer x = 97.899960 Warning: non-integer x = 108.599980 Warning: non-integer x = 26.799990 Warning: non-integer x = 33.599980 Warning: non-integer x = 42.099980 Warning: non-integer x = 47.899990 Warning: non-integer x = 56.199980 Warning: non-integer x = 63.399990 Warning: non-integer x = 71.799990 Warning: non-integer x = 87.599980 Warning: non-integer x = 94.899960 Warning: non-integer x = 21.899990 Warning: non-integer x = 26.799990 Warning: non-integer x = 34.699980 Warning: non-integer x = 41.299990 Warning: non-integer x = 48.699980 Warning: non-integer x = 57.899990 Warning: non-integer x = 65.399960 Warning: non-integer x = 71.299990 Warning: non-integer x = 80.599980 Warning: non-integer x = 88.399960 Warning: non-integer x = 96.299990 Warning: non-integer x = 103.500000 Warning: non-integer x = 26.799990 Warning: non-integer x = 39.099980 Warning: non-integer x = 46.399990 Warning: non-integer x = 61.599980 Warning: non-integer x = 68.799990 Warning: non-integer x = 72.199950 Warning: non-integer x = 77.199950 Warning: non-integer x = 83.799990 Warning: non-integer x = 90.799990 Warning: non-integer x = 35.399990 Warning: non-integer x = 42.299990 Warning: non-integer x = 49.500000 Warning: non-integer x = 58.699980 Warning: non-integer x = 66.599980 Warning: non-integer x = 71.399960 Warning: non-integer x = 78.799990 Warning: non-integer x = 85.500000 Warning: non-integer x = 91.299990 Warning: non-integer x = 97.799990 Warning: non-integer x = 22.099990 Warning: non-integer x = 26.299990 Warning: non-integer x = 33.299990 Warning: non-integer x = 39.599980 Warning: non-integer x = 41.399990 Warning: non-integer x = 46.299990 Warning: non-integer x = 52.399990 Warning: non-integer x = 59.399990 Warning: non-integer x = 66.699950 Warning: non-integer x = 73.899960 Warning: non-integer x = 76.799990 Warning: non-integer x = 23.700000 Warning: non-integer x = 28.799990 Warning: non-integer x = 35.099980 Warning: non-integer x = 49.099980 Warning: non-integer x = 58.799990 Warning: non-integer x = 65.399960 Warning: non-integer x = 68.500000 Warning: non-integer x = 90.699950 Warning: non-integer x = 27.299990 Warning: non-integer x = 31.200000 Warning: non-integer x = 43.899990 Warning: non-integer x = 49.799990 Warning: non-integer x = 57.199980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 78.799990 Warning: non-integer x = 87.399960 Warning: non-integer x = 100.500000 Warning: non-integer x = 25.700000 Warning: non-integer x = 28.700000 Warning: non-integer x = 33.399990 Warning: non-integer x = 46.699980 Warning: non-integer x = 56.599980 Warning: non-integer x = 65.199950 Warning: non-integer x = 73.199950 Warning: non-integer x = 81.699950 Warning: non-integer x = 90.299990 Warning: non-integer x = 103.500000 Analysis of 'Wald statistic' Table Model: poisson, link: identity Response: Weight Terms added sequentially (first to last) Df X2 P(>|Chi|) Cu 2 1.4 0.5 Time 1 6905.8 0.0 I(Time^2) 1 107.6 0.0 I(Time^3) 1 105.5 0.0 Cu:Time 2 1.7 0.4 > > > > > > > cleanEx(); ..nameEx <- "geese" > > ### * geese > > flush(stderr()); flush(stdout()) > > ### Name: geese > ### Title: Function to solve a Generalized Estimating Equation Model > ### Aliases: geese geese.fit print.geese summary.geese print.summary.geese > ### Keywords: nonlinear models > > ### ** Examples > > data(seizure) > ## Diggle, Liang, and Zeger (1994) pp166-168, compare Table 8.10 > seiz.l <- reshape(seizure, + varying=list(c("base","y1", "y2", "y3", "y4")), + v.names="y", times=0:4, direction="long") > seiz.l <- seiz.l[order(seiz.l$id, seiz.l$time),] > seiz.l$t <- ifelse(seiz.l$time == 0, 8, 2) > seiz.l$x <- ifelse(seiz.l$time == 0, 0, 1) > m1 <- geese(y ~ offset(log(t)) + x + trt + x:trt, id = id, + data=seiz.l, corstr="exch", family=poisson) > summary(m1) Call: geese(formula = y ~ offset(log(t)) + x + trt + x:trt, id = id, data = seiz.l, family = poisson, corstr = "exch") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) 1.34760922 0.1573571 73.34238067 0.0000000 x 0.11183602 0.1159304 0.93061161 0.3347040 trt 0.02753449 0.2245381 0.01503745 0.9024022 x:trt -0.10472579 0.2184739 0.22977783 0.6316886 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 19.41286 8.791593 4.875777 0.02723618 Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.7766877 0.07983183 94.65439 0 Returned Error Value: 0 Number of clusters: 59 Maximum cluster size: 5 > m2 <- geese(y ~ offset(log(t)) + x + trt + x:trt, id = id, + data = seiz.l, subset = id!=49, + corstr = "exch", family=poisson) > summary(m2) Call: geese(formula = y ~ offset(log(t)) + x + trt + x:trt, id = id, data = seiz.l, subset = id != 49, family = poisson, corstr = "exch") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) 1.3476092 0.1573571 73.3423807 0.00000000 x 0.1118360 0.1159304 0.9306116 0.33470405 trt -0.1068224 0.1950193 0.3000335 0.58386139 x:trt -0.3023841 0.1742742 3.0105907 0.08272214 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 10.38473 2.317806 20.07411 7.44984e-06 Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.5978407 0.0836615 51.06457 8.937295e-13 Returned Error Value: 0 Number of clusters: 58 Maximum cluster size: 5 > > data(ohio) > fit <- geese(resp ~ age + smoke + age:smoke, id=id, data=ohio, + family=binomial, corstr="exch", scale.fix=TRUE) > summary(fit) Call: geese(formula = resp ~ age + smoke + age:smoke, id = id, data = ohio, family = binomial, scale.fix = TRUE, corstr = "exch") Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p (Intercept) -1.90049529 0.11908698 254.6859841 0.00000000 age -0.14123592 0.05820089 5.8888576 0.01523698 smoke 0.31382583 0.18575838 2.8541747 0.09113700 age:smoke 0.07083184 0.08852946 0.6401495 0.42365667 Scale is fixed. Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.354531 0.03582698 97.92378 0 Returned Error Value: 0 Number of clusters: 537 Maximum cluster size: 4 > fit.ar1 <- geese(resp ~ age + smoke + age:smoke, id=id, data=ohio, + family=binomial, corstr="ar1", scale.fix=TRUE) > summary(fit.ar1) Call: geese(formula = resp ~ age + smoke + age:smoke, id = id, data = ohio, family = binomial, scale.fix = TRUE, corstr = "ar1") Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p (Intercept) -1.92537585 0.12078759 254.0893240 0.00000000 age -0.14789548 0.05989514 6.0971478 0.01354002 smoke 0.28798983 0.18931464 2.3141203 0.12820381 age:smoke 0.08375877 0.09205135 0.8279428 0.36286808 Scale is fixed. Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.5013761 0.03774259 176.4672 0 Returned Error Value: 0 Number of clusters: 537 Maximum cluster size: 4 > > ###### simulated data > ## a function to generate a dataset > gendat <- function() { + id <- gl(50, 4, 200) + visit <- rep(1:4, 50) + x1 <- rbinom(200, 1, 0.6) ## within cluster varying binary covariate + x2 <- runif(200, 0, 1) ## within cluster varying continuous covariate + phi <- 1 + 2 * x1 ## true scale model + ## the true correlation coefficient rho for an ar(1) + ## correlation structure is 0.667. + rhomat <- 0.667 ^ outer(1:4, 1:4, function(x, y) abs(x - y)) + chol.u <- chol(rhomat) + noise <- as.vector(sapply(1:50, function(x) chol.u %*% rnorm(4))) + e <- sqrt(phi) * noise + y <- 1 + 3 * x1 - 2 * x2 + e + dat <- data.frame(y, id, visit, x1, x2) + dat + } > > dat <- gendat() > fit <- geese(y ~ x1 + x2, id = id, data = dat, sformula = ~ x1, + corstr = "ar1", jack = TRUE, j1s = TRUE, fij = TRUE) > summary(fit) Call: geese(formula = y ~ x1 + x2, sformula = ~x1, id = id, data = dat, corstr = "ar1", jack = TRUE, j1s = TRUE, fij = TRUE) Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 0.9131074 0.1541919 0.1433662 0.1618527 0.1613499 35.06876 x1 3.0498939 0.1731030 0.1625873 0.1553981 0.1564433 310.42763 x2 -1.6752744 0.1927944 0.1840012 0.2341134 0.2330777 75.50627 p (Intercept) 3.182667e-09 x1 0.000000e+00 x2 0.000000e+00 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 1.019238 0.1783415 0.1735188 0.1703932 0.1704085 32.66231 x1 1.606153 0.4794160 0.4742515 0.4656287 0.4661944 11.22402 p (Intercept) 1.096426e-08 x1 8.074522e-04 Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se ajs.se j1s.se fij.se wald alpha 0.4929898 0.06843794 0.07191707 0.06888546 0.06802517 51.88981 p alpha 5.870859e-13 Returned Error Value: 0 Number of clusters: 50 Maximum cluster size: 4 > > #### create user-defined design matrix of unstrctured correlation. > #### in this case, zcor has 4*3/2 = 6 columns, and 50 * 6 = 300 rows > zcor <- genZcor(clusz = rep(4, 50), waves = dat$visit, "unstr") > zfit <- geese(y ~ x1 + x2, id = id, data = dat, sformula = ~ x1, + corstr = "userdefined", zcor = zcor, + jack = TRUE, j1s = TRUE, fij = TRUE) > summary(zfit) Call: geese(formula = y ~ x1 + x2, sformula = ~x1, id = id, data = dat, zcor = zcor, corstr = "userdefined", jack = TRUE, j1s = TRUE, fij = TRUE) Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 0.8424304 0.1681619 0.1486371 0.1583758 0.1463107 25.09648 x1 3.0633779 0.2007454 0.1808916 0.1737583 0.1883893 232.86804 x2 -1.5605679 0.2346558 0.2157358 0.2476571 0.2205798 44.22855 p (Intercept) 5.453232e-07 x1 0.000000e+00 x2 2.921874e-11 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 1.019990 0.1786461 0.1642604 0.1608143 0.1613769 32.59903 x1 1.612398 0.4819110 0.4499163 0.4406897 0.4398762 11.19466 p (Intercept) 1.132712e-08 x1 8.203303e-04 Correlation Model: Correlation Structure: userdefined Correlation Link: identity Estimated Correlation Parameters: estimate san.se ajs.se j1s.se fij.se wald alpha.1:2 0.72708891 0.14511928 0.13724563 0.13322097 0.13242657 25.1029536 alpha.1:3 0.37004609 0.13695648 0.13084513 0.13164823 0.13200770 7.3003965 alpha.1:4 0.05354373 0.11515938 0.10741297 0.10776836 0.10883341 0.2161815 alpha.2:3 0.40371582 0.09086454 0.08775057 0.08624631 0.08715535 19.7407075 alpha.2:4 0.15078190 0.09390503 0.09095609 0.09014318 0.09031371 2.5782243 alpha.3:4 0.36509484 0.10742900 0.10322951 0.10240655 0.10079096 11.5496373 p alpha.1:2 5.434955e-07 alpha.1:3 6.893940e-03 alpha.1:4 6.419649e-01 alpha.2:3 8.869189e-06 alpha.2:4 1.083431e-01 alpha.3:4 6.776247e-04 Returned Error Value: 0 Number of clusters: 50 Maximum cluster size: 4 > > #### Now, suppose that we want the correlation of 1-2, 2-3, and 3-4 > #### to be the same. Then zcor should have 4 columns. > z2 <- matrix(NA, 300, 4) > z2[,1] <- zcor[,1] + zcor[,4] + zcor[,6] > z2[,2:4] <- zcor[, c(2, 3, 5)] > summary(geese(y ~ x1 + x2, id = id, data = dat, sformula = ~ x1, + corstr = "userdefined", zcor = z2, + jack = TRUE, j1s = TRUE, fij = TRUE)) Call: geese(formula = y ~ x1 + x2, sformula = ~x1, id = id, data = dat, zcor = z2, corstr = "userdefined", jack = TRUE, j1s = TRUE, fij = TRUE) Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 0.9016995 0.1522717 0.1365765 0.1556374 0.1590303 35.06593 x1 3.0594877 0.1709668 0.1551069 0.1508724 0.1580607 320.23891 x2 -1.6375632 0.1837996 0.1694348 0.2100350 0.2093996 79.37923 p (Intercept) 3.187292e-09 x1 0.000000e+00 x2 0.000000e+00 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 1.018502 0.1778717 0.1671567 0.1638442 0.1639360 32.78762 x1 1.609183 0.4803450 0.4579178 0.4501571 0.4503787 11.22288 p (Intercept) 1.027973e-08 x1 8.079492e-04 Correlation Model: Correlation Structure: userdefined Correlation Link: identity Estimated Correlation Parameters: estimate san.se ajs.se j1s.se fij.se wald alpha:1 0.49709636 0.06488036 0.06636814 0.06318738 0.06345338 58.7022432 alpha:2 0.37094088 0.13832249 0.13499361 0.13471716 0.13515609 7.1915718 alpha:3 0.05716373 0.11622476 0.11089055 0.10996997 0.11097493 0.2419044 alpha:4 0.14869413 0.09215181 0.09150098 0.09083021 0.09099471 2.6036338 p alpha:1 1.831868e-14 alpha:2 7.324679e-03 alpha:3 6.228340e-01 alpha:4 1.066190e-01 Returned Error Value: 0 Number of clusters: 50 Maximum cluster size: 4 > > #### Next, we introduce non-constant cluster sizes by > #### randomly selecting 60 percent of the data > good <- sort(sample(1:nrow(dat), .6 * nrow(dat))) > mdat <- dat[good,] > > summary(geese(y ~ x1 + x2, id = id, data = mdat, waves = visit, + sformula = ~ x1, corstr="ar1", + jack = TRUE, j1s = TRUE, fij = TRUE)) Call: geese(formula = y ~ x1 + x2, sformula = ~x1, id = id, waves = visit, data = mdat, corstr = "ar1", jack = TRUE, j1s = TRUE, fij = TRUE) Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 0.781794 0.1975723 0.1897576 0.2226752 0.2107034 15.65787 x1 3.077728 0.2228466 0.2126801 0.2062467 0.2095625 190.74297 x2 -1.534923 0.3180122 0.3148688 0.3918375 0.3641315 23.29623 p (Intercept) 7.589595e-05 x1 0.000000e+00 x2 1.388722e-06 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se ajs.se j1s.se fij.se wald (Intercept) 1.121157 0.2719833 0.2738076 0.2681588 0.2684480 16.992153 x1 1.181829 0.6254429 0.6336190 0.6219364 0.6205938 3.570538 p (Intercept) 3.753463e-05 x1 5.881326e-02 Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se ajs.se j1s.se fij.se wald p alpha 0.5212453 0.08709028 0.1030279 0.09664497 0.0995235 35.8216 2.162372e-09 Returned Error Value: 0 Number of clusters: 47 Maximum cluster size: 4 > > > > > cleanEx(); ..nameEx <- "geese.control" > > ### * geese.control > > flush(stderr()); flush(stdout()) > > ### Name: geese.control > ### Title: Auxiliary for Controlling GEE Fitting > ### Aliases: geese.control > ### Keywords: optimize models > > ### ** Examples > > > > > cleanEx(); ..nameEx <- "genZcor" > > ### * genZcor > > flush(stderr()); flush(stdout()) > > ### Name: genZcor > ### Title: genZcor > ### Aliases: genZcor humbelbee > ### Keywords: regression > > ### ** Examples > > #example to construct a Toeplitz correlation structure > # sigma_ij=sigma_|i-j| > > #data set with 5 clusters and maximally 4 observations (visits) per cluster > gendat <- function() { + id <- gl(5, 4, 20) + visit <- rep(1:4, 5) + y <- rnorm(id) + dat <- data.frame(y, id, visit)[c(-2,-9),] + } > > set.seed(88) > dat<-gendat() > > #generating the design matrix for the unstructured correlation > zcor <- genZcor(clusz = table(dat$id), waves = dat$visit, corstrv=4) > # defining the Toeplitz structure > zcor.toep<-matrix(NA, nrow(zcor),3) > zcor.toep[,1]<-apply(zcor[,c(1,4,6)],1,sum) > zcor.toep[,2]<-apply(zcor[,c(2,5)],1,sum) > zcor.toep[,3]<-zcor[,3] > > zfit1 <- geese(y ~ 1,id = id, data = dat, + corstr = "userdefined", zcor = zcor.toep) > > zfit2 <- geeglm(y ~ 1,id = id, data = dat, + corstr = "userdefined", zcor = zcor.toep) > > > > > cleanEx(); ..nameEx <- "koch" > > ### * koch > > flush(stderr()); flush(stdout()) > > ### Name: koch > ### Title: Ordinal Data from Koch > ### Aliases: koch > ### Keywords: datasets > > ### ** Examples > > data(koch) > fit <- ordgee(ordered(y) ~ trt + as.factor(day), id=id, data=koch, corstr="exch") > summary(fit) Call: ordgee(formula = ordered(y) ~ trt + as.factor(day), id = id, data = koch, corstr = "exch") Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p Inter:1 3.1520493 0.4310758 53.4661263 2.631229e-13 Inter:2 0.2433350 0.3675878 0.4382147 5.079854e-01 trt -1.0931238 0.4207062 6.7511984 9.368474e-03 as.factor(day)7 -1.2790900 0.3632424 12.3996395 4.294167e-04 as.factor(day)10 -1.3783907 0.3072655 20.1241339 7.257510e-06 as.factor(day)14 -3.1731771 0.5807876 29.8506635 4.666372e-08 Scale is fixed. Correlation Model: Correlation Structure: exch Correlation Link: log Estimated Correlation Parameters: estimate san.se wald p alpha 1.126944 0.4766246 5.590518 0.01805796 Returned Error Value: 0 Number of clusters: 72 Maximum cluster size: 4 > > > > cleanEx(); ..nameEx <- "ohio" > > ### * ohio > > flush(stderr()); flush(stdout()) > > ### Name: ohio > ### Title: Ohio Children Wheeze Status > ### Aliases: ohio > ### Keywords: datasets > > ### ** Examples > > data(ohio) > fit <- geese(resp ~ age + smoke + age:smoke, id=id, data=ohio, + family=binomial, corstr="exch", scale.fix=TRUE) > summary(fit) Call: geese(formula = resp ~ age + smoke + age:smoke, id = id, data = ohio, family = binomial, scale.fix = TRUE, corstr = "exch") Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p (Intercept) -1.90049529 0.11908698 254.6859841 0.00000000 age -0.14123592 0.05820089 5.8888576 0.01523698 smoke 0.31382583 0.18575838 2.8541747 0.09113700 age:smoke 0.07083184 0.08852946 0.6401495 0.42365667 Scale is fixed. Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.354531 0.03582698 97.92378 0 Returned Error Value: 0 Number of clusters: 537 Maximum cluster size: 4 > fit.ar1 <- geese(resp ~ age + smoke + age:smoke, id=id, data=ohio, + family=binomial, corstr="ar1", scale.fix=TRUE) > summary(fit.ar1) Call: geese(formula = resp ~ age + smoke + age:smoke, id = id, data = ohio, family = binomial, scale.fix = TRUE, corstr = "ar1") Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p (Intercept) -1.92537585 0.12078759 254.0893240 0.00000000 age -0.14789548 0.05989514 6.0971478 0.01354002 smoke 0.28798983 0.18931464 2.3141203 0.12820381 age:smoke 0.08375877 0.09205135 0.8279428 0.36286808 Scale is fixed. Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.5013761 0.03774259 176.4672 0 Returned Error Value: 0 Number of clusters: 537 Maximum cluster size: 4 > > > > cleanEx(); ..nameEx <- "ordgee" > > ### * ordgee > > flush(stderr()); flush(stdout()) > > ### Name: ordgee > ### Title: GEE for Clustered Ordinal Responses > ### Aliases: ordgee > ### Keywords: nonlinear models > > ### ** Examples > > data(respdis) > resp.l <- reshape(respdis, varying =list(c("y1", "y2", "y3", "y4")), + v.names = "resp", direction = "long") > resp.l <- resp.l[order(resp.l$id, resp.l$time),] > fit <- ordgee(ordered(resp) ~ trt, id=id, data=resp.l, int.const=FALSE) > summary(fit) Call: ordgee(formula = ordered(resp) ~ trt, id = id, data = resp.l, int.const = FALSE) Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p Inter:1:1 1.5796028 0.3276190 23.246499 1.425097e-06 Inter:1:2 -1.2367437 0.2887413 18.346012 1.842042e-05 Inter:2:1 1.1586648 0.3009691 14.820802 1.182242e-04 Inter:2:2 -1.2159648 0.2578192 22.243927 2.401170e-06 Inter:3:1 1.0449113 0.2906721 12.922669 3.246266e-04 Inter:3:2 -1.0622921 0.2728471 15.158251 9.886532e-05 Inter:4:1 0.8387954 0.2724428 9.478980 2.078395e-03 Inter:4:2 -1.0745421 0.2770680 15.040914 1.052055e-04 trt 0.9942679 0.3203541 9.632661 1.911474e-03 Scale is fixed. Correlation Model: Correlation Structure: independence Returned Error Value: 0 Number of clusters: 111 Maximum cluster size: 4 > > data(ohio) > ohio$resp <- ordered(as.factor(ohio$resp)) > fit <- ordgee(resp ~ age + smoke + age:smoke, id = id, data=ohio) > summary(fit) Call: ordgee(formula = resp ~ age + smoke + age:smoke, id = id, data = ohio) Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p Inter:0 -1.9008426 0.11907679 254.8226760 0.00000000 age -0.1412531 0.05821418 5.8876040 0.01524783 smoke 0.3139540 0.18783853 2.7935900 0.09464198 age:smoke 0.0708441 0.08829469 0.6437812 0.42234488 Scale is fixed. Correlation Model: Correlation Structure: independence Returned Error Value: 0 Number of clusters: 537 Maximum cluster size: 4 > > > > cleanEx(); ..nameEx <- "respdis" > > ### * respdis > > flush(stderr()); flush(stdout()) > > ### Name: respdis > ### Title: Clustered Ordinal Respiratory Disorder > ### Aliases: respdis > ### Keywords: datasets > > ### ** Examples > > data(respdis) > resp.l <- reshape(respdis, varying = list(c("y1", "y2", "y3", "y4")), + v.names = "resp", direction = "long") > resp.l <- resp.l[order(resp.l$id, resp.l$time),] > fit <- ordgee(ordered(resp) ~ trt, id = id, data = resp.l, int.const = FALSE) > summary(fit) Call: ordgee(formula = ordered(resp) ~ trt, id = id, data = resp.l, int.const = FALSE) Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p Inter:1:1 1.5796028 0.3276190 23.246499 1.425097e-06 Inter:1:2 -1.2367437 0.2887413 18.346012 1.842042e-05 Inter:2:1 1.1586648 0.3009691 14.820802 1.182242e-04 Inter:2:2 -1.2159648 0.2578192 22.243927 2.401170e-06 Inter:3:1 1.0449113 0.2906721 12.922669 3.246266e-04 Inter:3:2 -1.0622921 0.2728471 15.158251 9.886532e-05 Inter:4:1 0.8387954 0.2724428 9.478980 2.078395e-03 Inter:4:2 -1.0745421 0.2770680 15.040914 1.052055e-04 trt 0.9942679 0.3203541 9.632661 1.911474e-03 Scale is fixed. Correlation Model: Correlation Structure: independence Returned Error Value: 0 Number of clusters: 111 Maximum cluster size: 4 > > z <- model.matrix( ~ trt - 1, data = respdis) > ind <- rep(1:111, 4*3/2 * 2^2) > zmat <- z[ind,,drop=FALSE] > fit <- ordgee(ordered(resp) ~ trt, id = id, data = resp.l, int.const = FALSE, + z = zmat, corstr = "exchangeable") > summary(fit) Call: ordgee(formula = ordered(resp) ~ trt, id = id, data = resp.l, z = zmat, corstr = "exchangeable", int.const = FALSE) Mean Model: Mean Link: logit Variance to Mean Relation: binomial Coefficients: estimate san.se wald p Inter:1:1 1.4898677 0.3385641 19.364830 1.079774e-05 Inter:1:2 -1.2430790 0.2921360 18.106199 2.089202e-05 Inter:2:1 1.1133442 0.3049162 13.332078 2.609043e-04 Inter:2:2 -1.2295780 0.2743712 20.083303 7.414113e-06 Inter:3:1 1.0606472 0.2988199 12.598618 3.860321e-04 Inter:3:2 -1.0259026 0.2816454 13.268050 2.699678e-04 Inter:4:1 0.8054367 0.2764906 8.485982 3.578934e-03 Inter:4:2 -1.0246232 0.2834519 13.066810 3.005745e-04 trt 1.0633281 0.3448953 9.505171 2.048937e-03 Scale is fixed. Correlation Model: Correlation Structure: exchangeable Correlation Link: log Estimated Correlation Parameters: estimate san.se wald p trt 4.091614 1.301889 9.877376 0.001673234 Returned Error Value: 1 Number of clusters: 111 Maximum cluster size: 4 > > > > cleanEx(); ..nameEx <- "respiratory" > > ### * respiratory > > flush(stderr()); flush(stdout()) > > ### Name: respiratory > ### Title: Data from a clinical trial comparing two treatments for a > ### respiratory illness > ### Aliases: respiratory respiratoryWide > ### Keywords: datasets > > ### ** Examples > > data(respiratory) > ## maybe str(respiratory) ; plot(respiratory) ... > > > > cleanEx(); ..nameEx <- "seizure" > > ### * seizure > > flush(stderr()); flush(stdout()) > > ### Name: seizure > ### Title: Epiliptic Seizures > ### Aliases: seizure > ### Keywords: datasets > > ### ** Examples > > data(seizure) > ## Diggle, Liang, and Zeger (1994) pp166-168, compare Table 8.10 > seiz.l <- reshape(seizure, + varying=list(c("base","y1", "y2", "y3", "y4")), + v.names="y", times=0:4, direction="long") > seiz.l <- seiz.l[order(seiz.l$id, seiz.l$time),] > seiz.l$t <- ifelse(seiz.l$time == 0, 8, 2) > seiz.l$x <- ifelse(seiz.l$time == 0, 0, 1) > m1 <- geese(y ~ offset(log(t)) + x + trt + x:trt, id = id, + data=seiz.l, corstr="exch", family=poisson) > summary(m1) Call: geese(formula = y ~ offset(log(t)) + x + trt + x:trt, id = id, data = seiz.l, family = poisson, corstr = "exch") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) 1.34760922 0.1573571 73.34238067 0.0000000 x 0.11183602 0.1159304 0.93061161 0.3347040 trt 0.02753449 0.2245381 0.01503745 0.9024022 x:trt -0.10472579 0.2184739 0.22977783 0.6316886 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 19.41286 8.791593 4.875777 0.02723618 Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.7766877 0.07983183 94.65439 0 Returned Error Value: 0 Number of clusters: 59 Maximum cluster size: 5 > m2 <- geese(y ~ offset(log(t)) + x + trt + x:trt, id = id, + data = seiz.l, subset = id!=49, + corstr = "exch", family=poisson) > summary(m2) Call: geese(formula = y ~ offset(log(t)) + x + trt + x:trt, id = id, data = seiz.l, subset = id != 49, family = poisson, corstr = "exch") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) 1.3476092 0.1573571 73.3423807 0.00000000 x 0.1118360 0.1159304 0.9306116 0.33470405 trt -0.1068224 0.1950193 0.3000335 0.58386139 x:trt -0.3023841 0.1742742 3.0105907 0.08272214 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 10.38473 2.317806 20.07411 7.44984e-06 Correlation Model: Correlation Structure: exch Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.5978407 0.0836615 51.06457 8.937295e-13 Returned Error Value: 0 Number of clusters: 58 Maximum cluster size: 5 > > ## Thall and Vail (1990) > seiz.l <- reshape(seizure, varying=list(c("y1","y2","y3","y4")), + v.names="y", direction="long") > seiz.l <- seiz.l[order(seiz.l$id, seiz.l$time),] > seiz.l$lbase <- log(seiz.l$base / 4) > seiz.l$lage <- log(seiz.l$age) > seiz.l$v4 <- ifelse(seiz.l$time == 4, 1, 0) > m3 <- geese(y ~ lbase + trt + lbase:trt + lage + v4, + sformula = ~ as.factor(time) - 1, id = id, + data = seiz.l, corstr = "exchangeable", family=poisson) > ## compare to Model 13 in Table 4, noticeable difference > summary(m3) Call: geese(formula = y ~ lbase + trt + lbase:trt + lage + v4, sformula = ~as.factor(time) - 1, id = id, data = seiz.l, family = poisson, corstr = "exchangeable") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) -2.4034600 0.82974040 8.390529 0.003771811 lbase 0.9507331 0.08695925 119.532384 0.000000000 trt -1.3457203 0.45295874 8.826577 0.002968748 lage 0.7910301 0.24190220 10.693168 0.001075319 v4 -0.1564575 0.06620833 5.584283 0.018122353 lbase:trt 0.5515089 0.18771002 8.632372 0.003302413 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p as.factor(time)1 3.484367 0.8885695 15.376760 8.806477e-05 as.factor(time)2 4.373366 1.5042428 8.452706 3.645007e-03 as.factor(time)3 7.446075 3.8130711 3.813335 5.084611e-02 as.factor(time)4 2.285043 0.4412631 26.815975 2.237798e-07 Correlation Model: Correlation Structure: exchangeable Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.3829447 0.06555894 34.11994 5.181761e-09 Returned Error Value: 0 Number of clusters: 59 Maximum cluster size: 4 > > ## set up a design matrix for the correlation > z <- model.matrix(~ age, data = seizure) # data is not seiz.l > ## just to illustrate the scale link and correlation link > m4 <- geese(y ~ lbase + trt + lbase:trt + lage + v4, + sformula = ~ as.factor(time)-1, id = id, + data = seiz.l, corstr = "ar1", family = poisson, + zcor = z, cor.link = "fisherz", sca.link = "log") > summary(m4) Call: geese(formula = y ~ lbase + trt + lbase:trt + lage + v4, sformula = ~as.factor(time) - 1, id = id, data = seiz.l, zcor = z, family = poisson, cor.link = "fisherz", sca.link = "log", corstr = "ar1") Mean Model: Mean Link: log Variance to Mean Relation: poisson Coefficients: estimate san.se wald p (Intercept) -2.5438029 0.82911234 9.413262 0.0021542161 lbase 0.9642896 0.08983638 115.215380 0.0000000000 trt -1.4910158 0.45568065 10.706397 0.0010676575 lage 0.8261575 0.23873057 11.975940 0.0005389186 v4 -0.1433959 0.07214347 3.950751 0.0468504589 lbase:trt 0.6006112 0.18639950 10.382391 0.0012722281 Scale Model: Scale Link: log Estimated Scale Parameters: estimate san.se wald p as.factor(time)1 1.2403326 0.2552727 23.60846 1.180674e-06 as.factor(time)2 1.5435715 0.3661813 17.76892 2.494244e-05 as.factor(time)3 2.0190935 0.4977217 16.45659 4.977695e-05 as.factor(time)4 0.8641165 0.2038009 17.97763 2.235167e-05 Correlation Model: Correlation Structure: ar1 Correlation Link: fisherz Estimated Correlation Parameters: estimate san.se wald p (Intercept) 2.55754768 0.70641283 13.107816 0.0002940664 age -0.04698654 0.02290049 4.209759 0.0401920466 Returned Error Value: 0 Number of clusters: 59 Maximum cluster size: 4 > > > > cleanEx(); ..nameEx <- "sitka89" > > ### * sitka89 > > flush(stderr()); flush(stdout()) > > ### Name: sitka89 > ### Title: Growth of Sitka Spruce Trees > ### Aliases: sitka89 > ### Keywords: datasets > > ### ** Examples > > data(sitka89) > attach(sitka89) > > > > cleanEx(); ..nameEx <- "spruce" > > ### * spruce > > flush(stderr()); flush(stdout()) > > ### Name: spruce > ### Title: Log-size of 79 Sitka spruce trees > ### Aliases: spruce > ### Keywords: datasets > > ### ** Examples > > data(spruce) > spruce$contr <- ifelse(spruce$ozone=="enriched", 0, 1) > sitka88 <- spruce[spruce$wave <= 5,] > sitka89 <- spruce[spruce$wave > 5,] > fit.88 <- geese(logsize ~ as.factor(wave) + contr + + I(time/100*contr) - 1, + id=id, data=sitka88, corstr="ar1") > summary(fit.88) Call: geese(formula = logsize ~ as.factor(wave) + contr + I(time/100 * contr) - 1, id = id, data = sitka88, corstr = "ar1") Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se wald p as.factor(wave)1 4.0419266 0.07908849 2611.8620547 0.000000000 as.factor(wave)2 4.4653274 0.07770155 3302.5337390 0.000000000 as.factor(wave)3 4.8377233 0.07718509 3928.3957801 0.000000000 as.factor(wave)4 5.1744467 0.08162691 4018.4733989 0.000000000 as.factor(wave)5 5.3128234 0.08285990 4111.1367081 0.000000000 contr -0.1931111 0.23029044 0.7031736 0.401719357 I(time/100 * contr) 0.2075152 0.06807457 9.2924441 0.002301010 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 0.3879176 0.06602715 34.51707 4.225299e-09 Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.9748865 0.00613395 25259.67 0 Returned Error Value: 0 Number of clusters: 79 Maximum cluster size: 5 > > fit.89 <- geese(logsize ~ as.factor(wave) + contr - 1, + id=id, data=sitka89, corstr="ar1") > summary(fit.89) Call: geese(formula = logsize ~ as.factor(wave) + contr - 1, id = id, data = sitka89, corstr = "ar1") Mean Model: Mean Link: identity Variance to Mean Relation: gaussian Coefficients: estimate san.se wald p as.factor(wave)6 5.5066375 0.09004528 3739.82339 0.00000000 as.factor(wave)7 5.5189160 0.08980425 3776.71159 0.00000000 as.factor(wave)8 5.6825869 0.08810157 4160.30226 0.00000000 as.factor(wave)9 5.9039793 0.08757582 4544.86782 0.00000000 as.factor(wave)10 6.0433464 0.08972348 4536.72772 0.00000000 as.factor(wave)11 6.1299287 0.08856963 4790.06215 0.00000000 as.factor(wave)12 6.1310679 0.08748482 4911.41703 0.00000000 as.factor(wave)13 6.1335995 0.08910089 4738.78264 0.00000000 contr 0.3458255 0.15335872 5.08507 0.02413270 Scale Model: Scale Link: identity Estimated Scale Parameters: estimate san.se wald p (Intercept) 0.4024081 0.06924668 33.77035 6.201703e-09 Correlation Model: Correlation Structure: ar1 Correlation Link: identity Estimated Correlation Parameters: estimate san.se wald p alpha 0.9936874 0.001792719 307238.3 0 Returned Error Value: 0 Number of clusters: 79 Maximum cluster size: 8 > > > > ### *