// output of ./demo/bits/parenword-colex-demo.cc:
// Description:
//% Binary 'parentheses words' in colex order

arg 1: 5 == n  [Number of paren pairs]  default=5
  ......11111 = ((((()))))
  .....1.1111 = (((()())))
  .....11.111 = ((()(())))
  .....111.11 = (()((())))
  .....1111.1 = ()(((())))
  ....1..1111 = (((())()))
  ....1.1.111 = ((()()()))
  ....1.11.11 = (()(()()))
  ....1.111.1 = ()((()()))
  ....11..111 = ((())(()))
  ....11.1.11 = (()()(()))
  ....11.11.1 = ()(()(()))
  ....111..11 = (())((()))
  ....111.1.1 = ()()((()))
  ...1...1111 = (((()))())
  ...1..1.111 = ((()())())
  ...1..11.11 = (()(())())
  ...1..111.1 = ()((())())
  ...1.1..111 = ((())()())
  ...1.1.1.11 = (()()()())
  ...1.1.11.1 = ()(()()())
  ...1.11..11 = (())(()())
  ...1.11.1.1 = ()()(()())
  ...11...111 = ((()))(())
  ...11..1.11 = (()())(())
  ...11..11.1 = ()(())(())
  ...11.1..11 = (())()(())
  ...11.1.1.1 = ()()()(())
  ..1....1111 = (((())))()
  ..1...1.111 = ((()()))()
  ..1...11.11 = (()(()))()
  ..1...111.1 = ()((()))()
  ..1..1..111 = ((())())()
  ..1..1.1.11 = (()()())()
  ..1..1.11.1 = ()(()())()
  ..1..11..11 = (())(())()
  ..1..11.1.1 = ()()(())()
  ..1.1...111 = ((()))()()
  ..1.1..1.11 = (()())()()
  ..1.1..11.1 = ()(())()()
  ..1.1.1..11 = (())()()()
  ..1.1.1.1.1 = ()()()()()
  pct=42