// output of ./demo/comb/msetpart-demo.cc:
// Description:
//% Multiset partitions.
//% Knuth's algorithm M, section 7.1.2.5, p.429-430, Vol.4A, TAOCP.
//% OEIS sequences:
//% A020555: content 2, 2, 2, ..., 2 (n times)
//% A322487: content 3, 3, 3, ..., 3 (n times)
//% A358781: content 4, 4, 4, ..., 4 (n times)
//% A322488: content n, n, n, ..., n (n times)
//% A317829: content 1, 2, 3, ..., n
//% A000110: content 1, 1, 1, ..., 1 (n times): set partitions
//% A000041: content n:  integer partitions

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