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#22.py
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__author__ = 'yuyue'
"""
def solution(n):
result = [[] for i in range(n*2)]
def recur(l, r, n, position, result):
if position==2*n-1:
result[position] = ')'
print str(result)
return
if l < n:
result[position] = '('
recur(l + 1, r, n, position + 1, result)
if r < l:
result[position] = ')'
recur(l, r + 1, n, position + 1, result)
recur(0, 0, n, 0, result)
solution(3)"""
def solution(n):
tempresult = [[] for i in range(n * 2)]
result = []
def recur(l, r, n, position, result, final):
if position == 2 * n - 1:
result[position] = ')'
final.append(''.join(result))
return
if l < n:
result[position] = '('
recur(l + 1, r, n, position + 1, result, final)
if r < l:
result[position] = ')'
recur(l, r + 1, n, position + 1, result, final)
recur(0, 0, n, 0, tempresult, result)
print result
solution(3)