// output of ./demo/comb/motzkin-path-lex-demo.cc:
// Description:
//% Motzkin paths in lexicographic order, CAT algorithm.

arg 1: 6 == n  [Length of paths (n>=1)]  default=6
   1:      [ . . . . . . . ]     0     0 0 0 0 0 0
   2:      [ . . . . . 1 . ]     5     0 0 0 0 + -
   3:      [ . . . . 1 . . ]     4     0 0 0 + - 0
   4:      [ . . . . 1 1 . ]     5     0 0 0 + 0 -
   5:      [ . . . 1 . . . ]     3     0 0 + - 0 0
   6:      [ . . . 1 . 1 . ]     5     0 0 + - + -
   7:      [ . . . 1 1 . . ]     4     0 0 + 0 - 0
   8:      [ . . . 1 1 1 . ]     5     0 0 + 0 0 -
   9:      [ . . . 1 2 1 . ]     4     0 0 + + - -
  10:      [ . . 1 . . . . ]     2     0 + - 0 0 0
  11:      [ . . 1 . . 1 . ]     5     0 + - 0 + -
  12:      [ . . 1 . 1 . . ]     4     0 + - + - 0
  13:      [ . . 1 . 1 1 . ]     5     0 + - + 0 -
  14:      [ . . 1 1 . . . ]     3     0 + 0 - 0 0
  15:      [ . . 1 1 . 1 . ]     5     0 + 0 - + -
  16:      [ . . 1 1 1 . . ]     4     0 + 0 0 - 0
  17:      [ . . 1 1 1 1 . ]     5     0 + 0 0 0 -
  18:      [ . . 1 1 2 1 . ]     4     0 + 0 + - -
  19:      [ . . 1 2 1 . . ]     3     0 + + - - 0
  20:      [ . . 1 2 1 1 . ]     5     0 + + - 0 -
  21:      [ . . 1 2 2 1 . ]     4     0 + + 0 - -
  22:      [ . 1 . . . . . ]     1     + - 0 0 0 0
  23:      [ . 1 . . . 1 . ]     5     + - 0 0 + -
  24:      [ . 1 . . 1 . . ]     4     + - 0 + - 0
  25:      [ . 1 . . 1 1 . ]     5     + - 0 + 0 -
  26:      [ . 1 . 1 . . . ]     3     + - + - 0 0
  27:      [ . 1 . 1 . 1 . ]     5     + - + - + -
  28:      [ . 1 . 1 1 . . ]     4     + - + 0 - 0
  29:      [ . 1 . 1 1 1 . ]     5     + - + 0 0 -
  30:      [ . 1 . 1 2 1 . ]     4     + - + + - -
  31:      [ . 1 1 . . . . ]     2     + 0 - 0 0 0
  32:      [ . 1 1 . . 1 . ]     5     + 0 - 0 + -
  33:      [ . 1 1 . 1 . . ]     4     + 0 - + - 0
  34:      [ . 1 1 . 1 1 . ]     5     + 0 - + 0 -
  35:      [ . 1 1 1 . . . ]     3     + 0 0 - 0 0
  36:      [ . 1 1 1 . 1 . ]     5     + 0 0 - + -
  37:      [ . 1 1 1 1 . . ]     4     + 0 0 0 - 0
  38:      [ . 1 1 1 1 1 . ]     5     + 0 0 0 0 -
  39:      [ . 1 1 1 2 1 . ]     4     + 0 0 + - -
  40:      [ . 1 1 2 1 . . ]     3     + 0 + - - 0
  41:      [ . 1 1 2 1 1 . ]     5     + 0 + - 0 -
  42:      [ . 1 1 2 2 1 . ]     4     + 0 + 0 - -
  43:      [ . 1 2 1 . . . ]     2     + + - - 0 0
  44:      [ . 1 2 1 . 1 . ]     5     + + - - + -
  45:      [ . 1 2 1 1 . . ]     4     + + - 0 - 0
  46:      [ . 1 2 1 1 1 . ]     5     + + - 0 0 -
  47:      [ . 1 2 1 2 1 . ]     4     + + - + - -
  48:      [ . 1 2 2 1 . . ]     3     + + 0 - - 0
  49:      [ . 1 2 2 1 1 . ]     5     + + 0 - 0 -
  50:      [ . 1 2 2 2 1 . ]     4     + + 0 0 - -
  51:      [ . 1 2 3 2 1 . ]     3     + + + - - -
 ct=51
