Develop the PERT diagram and find the critical path for a project involving the following tasks: $(10$ points$)$

$\backslash$table$[[$Task$,$Preceding Tasks,Duration$],[$A$,$None,$2],[$B$,$A$,1],[$C$,$B$,8],[$D$,$C$,6],[$E$,$D$,$ F$,2],[$X$,$C$,7],[$G$,$B$,2],[$H$,$G$,1],[$A$,$H$,$ F$,5],[$X$,$I, E$,3],[$K$,$J$,$ M$,5],[$L$,$None,$7],[$M$,$L$,3]]$