Biblatex, sorting references in a specific manner

Question

I need to order my bibliography on alphabetical order. However, the works headed by the same first author must be ordered as follows:
1º Works with one authors, in chronological order.
2º Works with two authors, in chronological order.
3º Works with three authors, in chronological order.

I have my preamble as follows:

\usepackage[autostyle=true]{csquotes}  
\usepackage[backend=biber,style=authoryear,style=bwl-FU,natbib=true,hyperref=true,maxbibnames=100,maxcitenames=2,sorting=nyt,uniquelist=false,uniquename=false]{biblatex}%para bibliografía  
\addbibresource{BibM.bib}
\DeclareSourcemap{  
  \maps[datatype=bibtex]{  
    \map{  
      \step[fieldsource=author, match=\regexp{(.*?)\s+and\s+}]  
      \step[fieldset=sortname, fieldvalue={$1}]  
       }  
  }  
}  

These are a few entries of my .bib:

@article{Takahashi2007, 
author = {Takahashi, K. and Tanabe, K. and Ohnuki, M. and Narita, M. and Ichisaka, T. and Tomoda, K. and Yamanaka, S.},  
journal = {Cell}, 
pages = {861--872},  
title = {{Induction of Pluripotent Stem Cells from Adult Human Fibroblasts by Defined Factors}},  
volume = {131},  
year = {2007}  
}  
@article{Takahashi2016a,  
author = {Takahashi, K. and Yamanaka, S.}, 
journal = {Nature Reviews Molecular Cell Biology},  
pages = {183--193}, 
title = {{A decade of transcription factor-mediated reprogramming to pluripotency}},  
volume = {17},  
year = {2016}  
}  
@article{Takahashi2006,  
author = {Takahashi, K. and Yamanaka, S.},  
journal = {Cell},  
pages = {663--676}, 
title = {{Induction of Pluripotent Stem Cells from Mouse Embryonic and Adult Fibroblast Cultures by Defined Factors}},    
volume = {126},  
year = {2006}  
}  

With this LaTex does order the works with the same first author by year. However, I don't know how to make it prioritize the number of authors:

Sorry if my question is messy, I'm new to both latex and the site.
Thank you very much!

Answer 1

Combining PLK's answer to How to sort reference list depending on the number of authors with Biblatex? and my answer to Biblatex sorting not working properly we can obtain

\documentclass{article}
\usepackage{csquotes}
\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@article{AuthorA2010,
  title={Titlea},
  author={Author, Alan},
  journal={Journala},
  volume={10},
  pages={1--3},
  year={2010},
  publisher={Publishera}
}
@article{AuthorAC2005,
  title={Titleac},
  author={Author, Alan and Cuthor, Carla},
  journal={Journalac},
  volume={10},
  pages={1--3},
  year={2005},
  publisher={Publisherac}
}
@article{AuthorAD1990,
  title={Titlead},
  author={Author, Alan and Duthor, David},
  journal={Journalad},
  volume={10},
  pages={1--3},
  year={1990},
  publisher={Publisherad}
}
@article{AuthorAD2000,
  title={Titlead two},
  author={Author, Alan and Duthor, David},
  journal={Journalad two},
  volume={10},
  pages={1--3},
  year={2000},
  publisher={Publisherad two}
}
@article{AuthorABD2000,
  title={Titleabd},
  author={Author, Alan and Bill Buthor and Cuthor, Carla},
  journal={Journalabd},
  volume={10},
  pages={1--3},
  year={2000},
  publisher={Publisherabd}
}
@article{Takahashi2007,
author = {Takahashi, K. and Tanabe, K. and Ohnuki, M. and Narita, M. and Ichisaka, T. and Tomoda, K. and Yamanaka, S.},
journal = {Cell},
pages = {861--872},
title = {{Induction of Pluripotent Stem Cells from Adult Human Fibroblasts by Defined Factors}},
volume = {131},
year = {2007}
}
@article{Takahashi2016a,
author = {Takahashi, K. and Yamanaka, S.},
journal = {Nature Reviews Molecular Cell Biology},
pages = {183--193},
title = {{A decade of transcription factor-mediated reprogramming to pluripotency}},
volume = {17},
year = {2016}
}
@article{Takahashi2006,
author = {Takahashi, K. and Yamanaka, S.},
journal = {Cell},
pages = {663--676},
title = {{Induction of Pluripotent Stem Cells from Mouse Embryonic and Adult Fibroblast Cultures by Defined Factors}},
volume = {126},
year = {2006}
}
\end{filecontents}
\usepackage[style=authoryear,firstinits=true, dashed=false,sorting=custsort]{biblatex}
\addbibresource{\jobname.bib}

\DeclareSortingScheme{custsort}{
  \sort{
    \field{presort}
  }
  \sort[final]{
    \field{sortkey}
  }
  \sort{
    \field{sortname}
    \field{author}
    \field{editor}
    \field{translator}
    \field{sorttitle}
    \field{title}
  }
  \sort{
    \field{usera}
  }
  \sort{
    \field{sortyear}
    \field{year}
  }
}
\DeclareSourcemap{
  \maps[datatype=bibtex]{
    \map{
      \step[fieldsource=author, match=\regexp{(.*?)\s+and\s+}]
      \step[fieldset=sortname, fieldvalue={$1}]
    }
    \map{
      \step[fieldsource=author]
      \step[fieldset=usera, origfieldval]
      \step[fieldsource=usera, match=\regexp{.+?\sand\s}, replace=\regexp{and}]
      \step[fieldsource=usera, match=\regexp{((?:and)*).+}, replace=\regexp{$1}]
    }
  }
}

\begin{document}

\nocite{*}
\printbibliography
\end{document}

Note how the year breaks the sorting tie between the works authored by Author and on co-author. Furthermore the works Takahashi wrote with Yamanaka are listed before the works written together with Tanabe and others even though alphabetically it would be otherwise if all names were considered for sorting.

So how does this work?

The first \map makes sure that only the first name in a list goes to sortname. The second map counts the number of co-authors by extracting only the ands from the author field to usera (it will contain exactly one and for each co-author). The sorting scheme then sorts by name (sortname contains only the lead author) and usera (number of authors) and finally year.