// output of ./demo/comb/setpart-rgs-fixed-content-demo.cc:
// Description:
//% Set partitions with fixed content, as restricted growth strings (RGS).
//% Lexicographic order.

args: multiplicities of elements
content:  2 3 3
   1:  [ . . 1 1 1 2 2 2 ]  [ 0 1 1 2 2 2 3 3 ]    {1, 2}, {3, 4, 5}, {6, 7, 8}
   2:  [ . . 1 1 2 1 2 2 ]  [ 0 1 1 2 2 3 3 3 ]    {1, 2}, {3, 4, 6}, {5, 7, 8}
   3:  [ . . 1 1 2 2 1 2 ]  [ 0 1 1 2 2 3 3 3 ]    {1, 2}, {3, 4, 7}, {5, 6, 8}
   4:  [ . . 1 1 2 2 2 1 ]  [ 0 1 1 2 2 3 3 3 ]    {1, 2}, {3, 4, 8}, {5, 6, 7}
   5:  [ . . 1 2 1 1 2 2 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 5, 6}, {4, 7, 8}
   6:  [ . . 1 2 1 2 1 2 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 5, 7}, {4, 6, 8}
   7:  [ . . 1 2 1 2 2 1 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 5, 8}, {4, 6, 7}
   8:  [ . . 1 2 2 1 1 2 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 6, 7}, {4, 5, 8}
   9:  [ . . 1 2 2 1 2 1 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 6, 8}, {4, 5, 7}
  10:  [ . . 1 2 2 2 1 1 ]  [ 0 1 1 2 3 3 3 3 ]    {1, 2}, {3, 7, 8}, {4, 5, 6}
  11:  [ . 1 . 1 1 2 2 2 ]  [ 0 1 2 2 2 2 3 3 ]    {1, 3}, {2, 4, 5}, {6, 7, 8}
  12:  [ . 1 . 1 2 1 2 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 3}, {2, 4, 6}, {5, 7, 8}
  13:  [ . 1 . 1 2 2 1 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 3}, {2, 4, 7}, {5, 6, 8}
  14:  [ . 1 . 1 2 2 2 1 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 3}, {2, 4, 8}, {5, 6, 7}
  15:  [ . 1 . 2 1 1 2 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 5, 6}, {4, 7, 8}
  16:  [ . 1 . 2 1 2 1 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 5, 7}, {4, 6, 8}
  17:  [ . 1 . 2 1 2 2 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 5, 8}, {4, 6, 7}
  18:  [ . 1 . 2 2 1 1 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 6, 7}, {4, 5, 8}
  19:  [ . 1 . 2 2 1 2 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 6, 8}, {4, 5, 7}
  20:  [ . 1 . 2 2 2 1 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 3}, {2, 7, 8}, {4, 5, 6}
  21:  [ . 1 1 . 1 2 2 2 ]  [ 0 1 2 2 2 2 3 3 ]    {1, 4}, {2, 3, 5}, {6, 7, 8}
  22:  [ . 1 1 . 2 1 2 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 4}, {2, 3, 6}, {5, 7, 8}
  23:  [ . 1 1 . 2 2 1 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 4}, {2, 3, 7}, {5, 6, 8}
  24:  [ . 1 1 . 2 2 2 1 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 4}, {2, 3, 8}, {5, 6, 7}
  25:  [ . 1 1 1 . 2 2 2 ]  [ 0 1 2 2 2 2 3 3 ]    {1, 5}, {2, 3, 4}, {6, 7, 8}
  26:  [ . 1 1 1 2 . 2 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 6}, {2, 3, 4}, {5, 7, 8}
  27:  [ . 1 1 1 2 2 . 2 ]  [ 0 1 2 2 2 3 3 3 ]    {1, 7}, {2, 3, 4}, {5, 6, 8}
  28:  [ . 1 1 1 2 2 2 . ]  [ 0 1 2 2 2 3 3 3 ]    {1, 8}, {2, 3, 4}, {5, 6, 7}
  29:  [ . 1 1 2 . 1 2 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 5}, {2, 3, 6}, {4, 7, 8}
  30:  [ . 1 1 2 . 2 1 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 5}, {2, 3, 7}, {4, 6, 8}
  31:  [ . 1 1 2 . 2 2 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 5}, {2, 3, 8}, {4, 6, 7}
  32:  [ . 1 1 2 1 . 2 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 6}, {2, 3, 5}, {4, 7, 8}
  33:  [ . 1 1 2 1 2 . 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 7}, {2, 3, 5}, {4, 6, 8}
  34:  [ . 1 1 2 1 2 2 . ]  [ 0 1 2 2 3 3 3 3 ]    {1, 8}, {2, 3, 5}, {4, 6, 7}
  35:  [ . 1 1 2 2 . 1 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 6}, {2, 3, 7}, {4, 5, 8}
  36:  [ . 1 1 2 2 . 2 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 6}, {2, 3, 8}, {4, 5, 7}
  37:  [ . 1 1 2 2 1 . 2 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 7}, {2, 3, 6}, {4, 5, 8}
  38:  [ . 1 1 2 2 1 2 . ]  [ 0 1 2 2 3 3 3 3 ]    {1, 8}, {2, 3, 6}, {4, 5, 7}
  39:  [ . 1 1 2 2 2 . 1 ]  [ 0 1 2 2 3 3 3 3 ]    {1, 7}, {2, 3, 8}, {4, 5, 6}
  40:  [ . 1 1 2 2 2 1 . ]  [ 0 1 2 2 3 3 3 3 ]    {1, 8}, {2, 3, 7}, {4, 5, 6}
  41:  [ . 1 2 . 1 1 2 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 5, 6}, {3, 7, 8}
  42:  [ . 1 2 . 1 2 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 5, 7}, {3, 6, 8}
  43:  [ . 1 2 . 1 2 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 5, 8}, {3, 6, 7}
  44:  [ . 1 2 . 2 1 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 6, 7}, {3, 5, 8}
  45:  [ . 1 2 . 2 1 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 6, 8}, {3, 5, 7}
  46:  [ . 1 2 . 2 2 1 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 4}, {2, 7, 8}, {3, 5, 6}
  47:  [ . 1 2 1 . 1 2 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 4, 6}, {3, 7, 8}
  48:  [ . 1 2 1 . 2 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 4, 7}, {3, 6, 8}
  49:  [ . 1 2 1 . 2 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 4, 8}, {3, 6, 7}
  50:  [ . 1 2 1 1 . 2 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 4, 5}, {3, 7, 8}
  51:  [ . 1 2 1 1 2 . 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 4, 5}, {3, 6, 8}
  52:  [ . 1 2 1 1 2 2 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 4, 5}, {3, 6, 7}
  53:  [ . 1 2 1 2 . 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 4, 7}, {3, 5, 8}
  54:  [ . 1 2 1 2 . 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 4, 8}, {3, 5, 7}
  55:  [ . 1 2 1 2 1 . 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 4, 6}, {3, 5, 8}
  56:  [ . 1 2 1 2 1 2 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 4, 6}, {3, 5, 7}
  57:  [ . 1 2 1 2 2 . 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 4, 8}, {3, 5, 6}
  58:  [ . 1 2 1 2 2 1 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 4, 7}, {3, 5, 6}
  59:  [ . 1 2 2 . 1 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 6, 7}, {3, 4, 8}
  60:  [ . 1 2 2 . 1 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 6, 8}, {3, 4, 7}
  61:  [ . 1 2 2 . 2 1 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 5}, {2, 7, 8}, {3, 4, 6}
  62:  [ . 1 2 2 1 . 1 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 5, 7}, {3, 4, 8}
  63:  [ . 1 2 2 1 . 2 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 5, 8}, {3, 4, 7}
  64:  [ . 1 2 2 1 1 . 2 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 5, 6}, {3, 4, 8}
  65:  [ . 1 2 2 1 1 2 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 5, 6}, {3, 4, 7}
  66:  [ . 1 2 2 1 2 . 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 5, 8}, {3, 4, 6}
  67:  [ . 1 2 2 1 2 1 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 5, 7}, {3, 4, 6}
  68:  [ . 1 2 2 2 . 1 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 6}, {2, 7, 8}, {3, 4, 5}
  69:  [ . 1 2 2 2 1 . 1 ]  [ 0 1 2 3 3 3 3 3 ]    {1, 7}, {2, 6, 8}, {3, 4, 5}
  70:  [ . 1 2 2 2 1 1 . ]  [ 0 1 2 3 3 3 3 3 ]    {1, 8}, {2, 6, 7}, {3, 4, 5}
 ct=70
