// output of ./demo/comb/mixedradix-fixed-content-lex-demo.cc:
// Description:
//% Mixed radix counting, fixed content.
//% Equivalently, subsets of a multiset with a fixed number of elements.
//% Lexicographic order.

arg 1: 5 == n  [Number of digits]  default=5
arg 2: 4 == c  [Content]  default=4
arg 3: 3 == rr  [Base (radix) of digits (0==>falling factorial, 1==>rising factorial)]  default=3
args 4,5,... : [Optionally supply radix for all digits (rr ignored)]
Nines: [ 2 2 2 2 2 ]
    0:  [ . . . 2 2 ]  0    { 3, 3, 4, 4 }
    1:  [ . . 1 1 2 ]  2    { 2, 3, 4, 4 }
    2:  [ . . 1 2 1 ]  3    { 2, 3, 3, 4 }
    3:  [ . . 2 . 2 ]  2    { 2, 2, 4, 4 }
    4:  [ . . 2 1 1 ]  3    { 2, 2, 3, 4 }
    5:  [ . . 2 2 . ]  3    { 2, 2, 3, 3 }
    6:  [ . 1 . 1 2 ]  1    { 1, 3, 4, 4 }
    7:  [ . 1 . 2 1 ]  3    { 1, 3, 3, 4 }
    8:  [ . 1 1 . 2 ]  2    { 1, 2, 4, 4 }
    9:  [ . 1 1 1 1 ]  3    { 1, 2, 3, 4 }
   10:  [ . 1 1 2 . ]  3    { 1, 2, 3, 3 }
   11:  [ . 1 2 . 1 ]  2    { 1, 2, 2, 4 }
   12:  [ . 1 2 1 . ]  3    { 1, 2, 2, 3 }
   13:  [ . 2 . . 2 ]  1    { 1, 1, 4, 4 }
   14:  [ . 2 . 1 1 ]  3    { 1, 1, 3, 4 }
   15:  [ . 2 . 2 . ]  3    { 1, 1, 3, 3 }
   16:  [ . 2 1 . 1 ]  2    { 1, 1, 2, 4 }
   17:  [ . 2 1 1 . ]  3    { 1, 1, 2, 3 }
   18:  [ . 2 2 . . ]  2    { 1, 1, 2, 2 }
   19:  [ 1 . . 1 2 ]  0    { 0, 3, 4, 4 }
   20:  [ 1 . . 2 1 ]  3    { 0, 3, 3, 4 }
   21:  [ 1 . 1 . 2 ]  2    { 0, 2, 4, 4 }
   22:  [ 1 . 1 1 1 ]  3    { 0, 2, 3, 4 }
   23:  [ 1 . 1 2 . ]  3    { 0, 2, 3, 3 }
   24:  [ 1 . 2 . 1 ]  2    { 0, 2, 2, 4 }
   25:  [ 1 . 2 1 . ]  3    { 0, 2, 2, 3 }
   26:  [ 1 1 . . 2 ]  1    { 0, 1, 4, 4 }
   27:  [ 1 1 . 1 1 ]  3    { 0, 1, 3, 4 }
   28:  [ 1 1 . 2 . ]  3    { 0, 1, 3, 3 }
   29:  [ 1 1 1 . 1 ]  2    { 0, 1, 2, 4 }
   30:  [ 1 1 1 1 . ]  3    { 0, 1, 2, 3 }
   31:  [ 1 1 2 . . ]  2    { 0, 1, 2, 2 }
   32:  [ 1 2 . . 1 ]  1    { 0, 1, 1, 4 }
   33:  [ 1 2 . 1 . ]  3    { 0, 1, 1, 3 }
   34:  [ 1 2 1 . . ]  2    { 0, 1, 1, 2 }
   35:  [ 2 . . . 2 ]  0    { 0, 0, 4, 4 }
   36:  [ 2 . . 1 1 ]  3    { 0, 0, 3, 4 }
   37:  [ 2 . . 2 . ]  3    { 0, 0, 3, 3 }
   38:  [ 2 . 1 . 1 ]  2    { 0, 0, 2, 4 }
   39:  [ 2 . 1 1 . ]  3    { 0, 0, 2, 3 }
   40:  [ 2 . 2 . . ]  2    { 0, 0, 2, 2 }
   41:  [ 2 1 . . 1 ]  1    { 0, 0, 1, 4 }
   42:  [ 2 1 . 1 . ]  3    { 0, 0, 1, 3 }
   43:  [ 2 1 1 . . ]  2    { 0, 0, 1, 2 }
   44:  [ 2 2 . . . ]  1    { 0, 0, 1, 1 }
 ct=45