#Ap(Y,i,m):write a procedure that inputs a Standard Young Tableau
#and an integer i between 1 and nops(Y)+1 and inserts the
#entry m at  the end of the i-th row, or if i=nops(Y)+1 make
#a new row with 1 cell occupied with m
AP:=proc(Y,i,m):

if i=nops(Y)+1 then
 RETURN([op(Y),[m]]):
fi:


if i>1 and nops(Y[i])=nops(Y[i-1]) then
  RETURN(FAIL):
fi:

[op(1..i-1,Y),[op(Y[i]),m],op(i+1..nops(Y),Y)]:


end: