// output of ./demo/comb/composition-nz-binary-demo.cc:
// Description:
//% Compositions of n into powers of 2, lexicographic order.
//% Cf. OEIS sequence A023359.

arg 1: 8 == n  [compositions of n into powers of 2]  default=8
  1: [ 8]  [ 1 1 1 1 1 1 1 1 ]
  2: [ 7]  [ 1 1 1 1 1 1 2 ]
  3: [ 7]  [ 1 1 1 1 1 2 1 ]
  4: [ 7]  [ 1 1 1 1 2 1 1 ]
  5: [ 6]  [ 1 1 1 1 2 2 ]
  6: [ 5]  [ 1 1 1 1 4 ]
  7: [ 7]  [ 1 1 1 2 1 1 1 ]
  8: [ 6]  [ 1 1 1 2 1 2 ]
  9: [ 6]  [ 1 1 1 2 2 1 ]
 10: [ 5]  [ 1 1 1 4 1 ]
 11: [ 7]  [ 1 1 2 1 1 1 1 ]
 12: [ 6]  [ 1 1 2 1 1 2 ]
 13: [ 6]  [ 1 1 2 1 2 1 ]
 14: [ 6]  [ 1 1 2 2 1 1 ]
 15: [ 5]  [ 1 1 2 2 2 ]
 16: [ 4]  [ 1 1 2 4 ]
 17: [ 5]  [ 1 1 4 1 1 ]
 18: [ 4]  [ 1 1 4 2 ]
 19: [ 7]  [ 1 2 1 1 1 1 1 ]
 20: [ 6]  [ 1 2 1 1 1 2 ]
 21: [ 6]  [ 1 2 1 1 2 1 ]
 22: [ 6]  [ 1 2 1 2 1 1 ]
 23: [ 5]  [ 1 2 1 2 2 ]
 24: [ 4]  [ 1 2 1 4 ]
 25: [ 6]  [ 1 2 2 1 1 1 ]
 26: [ 5]  [ 1 2 2 1 2 ]
 27: [ 5]  [ 1 2 2 2 1 ]
 28: [ 4]  [ 1 2 4 1 ]
 29: [ 5]  [ 1 4 1 1 1 ]
 30: [ 4]  [ 1 4 1 2 ]
 31: [ 4]  [ 1 4 2 1 ]
 32: [ 7]  [ 2 1 1 1 1 1 1 ]
 33: [ 6]  [ 2 1 1 1 1 2 ]
 34: [ 6]  [ 2 1 1 1 2 1 ]
 35: [ 6]  [ 2 1 1 2 1 1 ]
 36: [ 5]  [ 2 1 1 2 2 ]
 37: [ 4]  [ 2 1 1 4 ]
 38: [ 6]  [ 2 1 2 1 1 1 ]
 39: [ 5]  [ 2 1 2 1 2 ]
 40: [ 5]  [ 2 1 2 2 1 ]
 41: [ 4]  [ 2 1 4 1 ]
 42: [ 6]  [ 2 2 1 1 1 1 ]
 43: [ 5]  [ 2 2 1 1 2 ]
 44: [ 5]  [ 2 2 1 2 1 ]
 45: [ 5]  [ 2 2 2 1 1 ]
 46: [ 4]  [ 2 2 2 2 ]
 47: [ 3]  [ 2 2 4 ]
 48: [ 4]  [ 2 4 1 1 ]
 49: [ 3]  [ 2 4 2 ]
 50: [ 5]  [ 4 1 1 1 1 ]
 51: [ 4]  [ 4 1 1 2 ]
 52: [ 4]  [ 4 1 2 1 ]
 53: [ 4]  [ 4 2 1 1 ]
 54: [ 3]  [ 4 2 2 ]
 55: [ 2]  [ 4 4 ]
 56: [ 1]  [ 8 ]
 ct=56
