forked from colonelpanic/dotfiles
32 lines
869 B
Python
32 lines
869 B
Python
from backports.functools_lru_cache import lru_cache
|
|
|
|
|
|
def parenthesizations2h(pair_count):
|
|
return [
|
|
'{0:b}'.format(item).replace('1', '(').replace('0', ')')
|
|
for item in parenthesizations.parenthesizations(pair_count)
|
|
]
|
|
|
|
def parenthesizations2(pair_count):
|
|
"""Parenthesizations returned encoded as numbers
|
|
"""
|
|
parenthesizations = _parenthesizations2(pair_count * 2, net=0)
|
|
return parenthesizations
|
|
|
|
|
|
@lru_cache(maxsize=None)
|
|
def _parenthesizations2(length, net=0):
|
|
if net > length or net < 0:
|
|
raise Exception()
|
|
if net == length:
|
|
return [0]
|
|
res = add_bit(length-1, _parenthesizations(length-1, net=net + 1))
|
|
if net > 0:
|
|
res.extend(_parenthesizations(length-1, net=net - 1))
|
|
return res
|
|
|
|
|
|
def add_bit(bitindex, items):
|
|
value = 2 ** bitindex
|
|
return [value + item for item in items]
|