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introducing the clothing series of functions bow(n)=rayo(n) repeated n times bow(2)= rayo(rayo(2)) bow(3)= rayo(rayo(rayo(3))) bow(10^100)=? scarf(n)=bow(n) repeated n times scarf(2)=bow(bow(n)) scarf(3)=bow(bow(bow(n))) scarf(10^100)=? bowtie(n)=scarf(n) repeated n times bowtie(2)=scarf(scarf(2)) bowtie(3)=scarf(scarf(scarf(3))) bowtie(10^100)=? scarftie(n)=bowtie(n) repeated n times scarftie(2)=bowtie(bowtie(2)) scarftie(3)=bowtie(bowtie(bowtie(3))) scarftie(10^100)=? clothing(n,1)=rayo(n) clothing(n,2)=bow(n)= clothing(n,1) repeated n times clothing(n,3)=scarf(n)= clothing(n,2) repeated n times clothing(n,4)=bowtie(n)= clothing(n,3) repeated n times clothing(n,5)=scarftie(n)= clothing(n,4) repeated n times clothing(n,6)=clothing(n,5) repeated n times clothing(n,7)=clothing(n,6) repeated n times clothing(n,8)=clothing(n,7) repeated n times clothing(n,9)=clothing(n,8) repeated n times clothing(n,10)=clothing(n,9) repeated n times clothing(n,11)=clothing(n,10) repeated n times clothing(n,10^100)=clothing(n,(10^100)-1) repeated n times clothing(n,10^600)=clothing(n,(10^600)-1) repeated n times clothing(n,10^(10^100))=clothing(n,(10^(10^100))-1) repeated n times clothing(n,10^(10^600))=clothing(n,(10^(10^600))-1) repeated n times clothing(10^10^600,10^10^600)=?

did i define a superior function to rayo