[R] Problems using hetcor (polycor)
Mark Difford
mark_difford at yahoo.co.uk
Thu Aug 7 15:14:33 CEST 2008
Hi Birgitle,
>> I am so sorry there was a little mistake in the code again.
This arrived _after_ I sent in my "fix" (really just an exploration of what
the problem might be). Perhaps you need to wrestle a bit more with the art
of coding ...;). I don't think it will change the work-around. You won't
have standard errors for everything, but you will get them for just about
everything.
Regards, Mark.
Birgitle wrote:
>
> I am so sorry there was a little mistake in the code again.
>
> Right code now:
>
> library(methods)
> setClass("of")
> setAs("character", "of", function(from) as.ordered(from))
>
> Classe72<-cclasses <- c(rep("factor", 55), rep("numeric",6), rep ("of",
> 12))
>
> TestPart<-read.table("TestPart.txt", header=TRUE,row.names=1,
> na.strings="NA" ,colClasses = Classe72)
>
> library(polycor)
>
> TestPart.hetcor<-hetcor(TestPart, use="complete.obs")
>
> B.
>
>
> Birgitle wrote:
>>
>> Thanks Mark and I am sorry that I forgot to adapt the Classe-vector.
>>
>> This should work now
>>
>> library(methods)
>> setClass("of")
>> setAs("character", "of", function(from) as.ordered(from))
>>
>> Classe72<-cclasses <- c(rep("factor", 55), rep("numeric",6), rep
>> ("factor", 12))
>>
>> TestPart<-read.table("TestPart.txt", header=TRUE,row.names=1,
>> na.strings="NA" ,colClasses = Classe72)
>>
>> library(polycor)
>>
>> TestPart.hetcor<-hetcor(TestPart, use="complete.obs")
>>
>> Mark Difford wrote:
>>>
>>> Hi Birgitle,
>>>
>>> You need to get this right if someone is going to spend their time
>>> helping you. Your code doesn't work: You have specified more columns in
>>> colClasses than you have in the provided data set.
>>>
>>>> TestPart<-read.table("TestPart.txt", header=TRUE,row.names=1,
>>>> na.strings="NA" ,colClasses = Classe81)
>>> Error in scan(file, what, nmax, sep, dec, quote, skip, nlines,
>>> na.strings, :
>>> line 1 did not have 82 elements
>>>
>>>> TestPart<-read.table("TestPart.txt", header=TRUE,row.names=1,
>>>> na.strings="NA")
>>> Warning message:
>>> In scan(file, what, nmax, sep, dec, quote, skip, nlines, na.strings, :
>>> number of items read is not a multiple of the number of columns
>>>
>>>> length(names(TestPart))
>>> [1] 72
>>>
>>>> length(Classe81)
>>> [1] 82
>>>
>>> That will never work.
>>>
>>> HTH, Mark.
>>>
>>>
>>> Birgitle wrote:
>>>>
>>>> Sorry if this post should be long but I tried to give you a piece of my
>>>> data to reproduce my error message using hetcor:
>>>>
>>>> Fehler in result$rho : $ operator is invalid for atomic vectors
>>>> Zusätzlich: Warning messages:
>>>> 1: In polychor(x, y, ML = ML, std.err = std.err) :
>>>> 1 row with zero marginal removed
>>>> 2: In polychor(x, y, ML = ML, std.err = std.err) :
>>>> the table has fewer than 2 rows
>>>>
>>>>
>>>> Error in result$rho : $ operator is invalid for atomic vectors
>>>> Additional: Warning message:
>>>> 1: In polychor(x, y, ML = ML, std.err = std.err) :
>>>> 1 row with zero marginal removed
>>>> 2: In polychor(x, y, ML = ML, std.err = std.err) :
>>>> the table has fewer than 2 rows
>>>>
>>>> Use tab delimited data at the end of the post.
>>>> Copy in Texteditor and save as TestPart.txt
>>>>
>>>> Then use the following code
>>>>
>>>> library(methods)
>>>> setClass("of")
>>>> setAs("character", "of", function(from) as.ordered(from))
>>>>
>>>> Classe81<-cclasses <- c(rep("factor", 64), rep("numeric",6), rep
>>>> ("of", 12))
>>>>
>>>> TestPart<-read.table("TestPart.txt", header=TRUE,row.names=1,
>>>> na.strings="NA" ,colClasses = Classe81)
>>>>
>>>> str(TestPart)
>>>>
>>>> library(polycor)
>>>>
>>>> TestPart.hetcor<-hetcor(TestPart, use="complete.obs")
>>>>
>>>> this will produce the above mentioned error message that I can not
>>>> interprete.
>>>>
>>>> Would be great if somebody could help me to solve the problem.
>>>>
>>>> Thanks
>>>>
>>>> B.
>>>>
>>>>
>>>>
>>>>
>>>> 1 2 3 4 7 8 9 10 12 13 14 15 16 17 18 19 21 22 23 25 27 28 29 30 31 33
>>>> 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 58
>>>> 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
>>>> AX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0
>>>> 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 25 5 9 1 8.5 2.5 3 5 2 2 3 3 1
>>>> 1 1 2 1 2
>>>> BX 1 1 0 0 1 0 0 1 NA NA NA 0 0 0 0 1 0 0 1 0 0 1 0 NA NA NA NA NA NA
>>>> NA NA 0 0 0 1 0 NA NA NA NA NA NA NA 0 0 0 0 1 1 0 0 0 1 1 NA NA 6 1
>>>> 3.25 2.25 5 5 2 2 3 3 1 1 1 1 1 1
>>>> CX 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0
>>>> 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 15 3.5 6 1 5.5 5.5 5 5 2 2 1 2
>>>> 1 1 1 1 2 2
>>>> DX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0
>>>> 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 50 17.5 7.5 2.5 8.5 5 5 5 2 2 2
>>>> 3 1 1 1 1 3 3
>>>> EX 1 0 1 0 1 0 0 1 NA NA NA 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1
>>>> 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 NA NA 14.5 30 13 2.5 3 3 1 1
>>>> 4 4 1 1 1 1 1 1
>>>> FX 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0
>>>> 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 165 25 11.5 15 12 6.5 5 5 1 1 3
>>>> 3 1 1 1 1 4 5
>>>> GX 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0
>>>> 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 40 20 14.5 9.5 11 10 3 3 1 1 1
>>>> 3 1 1 3 4 1 3
>>>> HX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 NA NA NA NA NA NA NA
>>>> NA NA NA NA NA NA 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 70 18.5 1 12.5
>>>> 7.2 7.2 5 5 2 2 3 3 3 3 1 1 2 4
>>>> JX 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1
>>>> 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 65 9 11 18 4.5 3.75 1 3 2 3 2 2
>>>> 1 1 1 1 2 2
>>>> KX 1 0 1 0 1 0 0 1 NA NA NA 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0
>>>> 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 NA NA 4.25 4.5 2.1 1.6 3 3 2
>>>> 2 2 3 1 1 1 2 1 1
>>>> LX 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0
>>>> 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 80 32.5 13 4 8.5 5.25 2 3 3 3 3
>>>> 3 1 1 1 1 3 4
>>>> MX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 45 7.5 14 1 11 5.5 3 4 2 2 3 3
>>>> 1 1 1 1 2 3
>>>> NX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 42.5 12.5 17.5 1 11 NA 5 5 2 2
>>>> 3 3 1 1 1 1 1 2
>>>> OX 1 1 0 0 1 0 0 1 NA NA NA 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0
>>>> 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 NA NA 25 1 25 NA 3 4 1 2 3 3
>>>> 1 1 3 3 1 1
>>>> PX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 42.5 11.5 21.5 2 25 NA 4 5 2 2
>>>> 3 3 1 1 1 2 1 2
>>>> QX 1 1 0 0 1 0 0 1 NA NA NA 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0
>>>> 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 NA NA 27.5 1.5 19 NA 3 3 2 2
>>>> 3 3 1 1 1 2 1 1
>>>> RX 1 1 0 0 1 0 0 1 NA NA NA 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0
>>>> 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 NA NA 30 1 24 NA 3 4 2 2 3 3
>>>> 1 1 3 3 1 1
>>>> SX 1 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 47.5 20 22.5 2 15 NA 5 5 2 2 3
>>>> 3 1 1 1 1 2 2
>>>> TX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 40 11 15 1.5 11.5 NA 5 5 2 3 3
>>>> 3 1 1 1 1 2 2
>>>> UX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 65 35 39 2.5 20 NA 3 4 2 2 3 3
>>>> 1 1 2 2 1 2
>>>> VX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 85 10.5 19.5 1.5 13.5 NA 5 5 2
>>>> 3 3 3 1 1 2 2 2 2
>>>> WX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 155 18 30 2 17.5 NA 5 5 2 3 3 3
>>>> 1 1 1 2 2 3
>>>> XX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 90 10.5 25 1 19 NA 5 5 2 2 3 3
>>>> 1 1 1 1 2 3
>>>> YX 1 1 0 0 1 0 0 1 NA NA NA 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0
>>>> 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 NA NA 30 2.5 20.25 NA 3 3 2 2
>>>> 3 3 1 1 2 2 1 1
>>>> ZX 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0
>>>> 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 105 25 37.5 1 37.5 2.25 5 5 2 3
>>>> 3 3 1 1 1 1 2 2
>>>> AY 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0
>>>> 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 85 6.5 11.5 3 11.5 3.25 5 5 2 2
>>>> 3 4 1 1 1 2 2 4
>>>> BY 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1
>>>> 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 38 10 6.5 8 3 2.5 4 5 2 2 2 3 1
>>>> 1 1 2 2 3
>>>> CY 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1
>>>> 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 15 3.5 5 1.5 3.25 3.5 5 5 2 3 2
>>>> 2 1 1 1 1 2 2
>>>> DY 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 NA NA NA NA NA NA NA
>>>> NA NA NA NA NA NA 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 70 20 NA NA 5.5
>>>> 3.5 5 5 3 3 3 3 3 3 1 1 9 9
>>>> EY 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0
>>>> 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 20 7 8 25 5.5 3.25 3 3 3 3 3 3
>>>> 1 1 1 1 2 2
>>>> FY 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1
>>>> 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 150 25 13 24 11.5 4.5 5 5 3 3 4
>>>> 4 1 1 1 1 5 6
>>>> GY 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0
>>>> 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 50 15 12.5 17.5 8.5 5.75 3 3 3
>>>> 3 2 3 1 1 1 1 2 3
>>>> HY 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1
>>>> 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 110 15 9.5 7.5 11 3.35 5 5 3 3
>>>> 4 4 3 3 1 1 4 5
>>>> JY 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0
>>>> 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 60 11.5 10 30 3.25 3.75 3 3 2 2
>>>> 1 1 1 1 1 1 2 3
>>>> KY 0 0 0 1 1 0 0 1 NA NA NA 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0
>>>> 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 NA NA 6.5 23 2.25 1 1 2 2 2 3
>>>> 3 1 1 2 2 2 2
>>>> LY 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0
>>>> 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 52.5 20 11 5 6.25 4.25 2 2 2 2
>>>> 3 3 1 1 1 1 2 4
>>>> MY 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0
>>>> 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 60 15 3 15 1.5 1.25 5 5 2 2 2 2
>>>> 1 1 1 1 6 6
>>>> NY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0
>>>> 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 50 14 3.75 25 2.85 2.4 5 5 2 2
>>>> 1 2 1 1 1 1 5 6
>>>> OY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 45 14 4 15 2.75 1.75 5 5 2 2 2
>>>> 3 1 1 2 3 5 5
>>>> PY 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 60 18.5 3.75 15 2.75 2.1 5 5 2
>>>> 2 2 3 1 1 1 2 4 6
>>>> QY 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 290 90 8.5 22.5 2.75 2.25 5 5 2
>>>> 2 2 3 1 1 1 2 7 7
>>>> RY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 55 15.5 7.5 14 7 2.25 5 5 2 2 3
>>>> 3 1 1 2 3 2 4
>>>> SY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0
>>>> 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 55 20 5.5 30 4.5 2.5 5 5 2 2 3
>>>> 3 1 1 1 1 4 5
>>>> TY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1
>>>> 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 40 15 4.5 25 2.75 1.75 5 5 2 2
>>>> 3 3 1 1 1 1 4 6
>>>> UY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0
>>>> 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 200 27.5 6.5 25 2.45 2.25 5 5 2
>>>> 2 2 3 1 1 1 2 7 7
>>>> VY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 135 17.5 5.5 17.5 2.75 2.25 5 5
>>>> 2 2 2 3 1 1 1 2 5 7
>>>> WY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0
>>>> 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 240 35 5.5 14 3.25 2.75 5 5 2 2
>>>> 2 3 1 1 1 2 7 7
>>>> XY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0
>>>> 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 175 27.5 4 10.5 2.5 1.875 5 5 2
>>>> 2 2 2 1 1 1 1 6 7
>>>> YY 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0
>>>> 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 230 42.5 5.6 25 2.5 2.5 5 5 2 2
>>>> 2 2 1 1 1 2 5 7
>>>> ZY 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0
>>>> 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 115 35 10.5 20 7.5 6.5 5 5 1 1
>>>> 3 3 1 1 1
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>
>>>
>>
>>
>
>
--
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