airs of parentheses, write a function to generate all combinations of well-formed parentheses. For example, given n = 3, a solution set is: [ "((()))", "(()())", "(())()", "()(())", "()()()" ] """
airs of parentheses, write a function to generate all combinations of well-formed parentheses. For example, given n = 3, a solution set is: [ "((()))", "(()())", "(())()", "()(())", "()()()" ] """
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Given n pairs of parentheses, write a function to generate | |
all combinations of well-formed parentheses. | |
For example, given n = 3, a solution set is: | |
[ | |
"((()))", | |
"(()())", | |
"(())()", | |
"()(())", | |
"()()()" | |
] | |
""" | |
def generate_parenthesis_v1(n): | |
defadd_pair(res, s, left, right): | |
ifleft==0andright==0: | |
res.append(s) | |
return | |
ifright>0: | |
add_pair(res, s+")", left, right-1) | |
ifleft>0: | |
add_pair(res, s+"(", left-1, right+1) | |
res= [] | |
add_pair(res, "", n, 0) | |
returnres | |
def generate_parenthesis_v2(n): | |
defadd_pair(res, s, left, right): | |
ifleft==0andright==0: | |
res.append(s) | |
ifleft>0: | |
add_pair(res, s+"(", left-1, right) | |
ifright>0andleft<right: | |
add_pair(res, s+")", left, right-1).
|
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