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1"use strict";(self.webpackChunk_N_E=self.webpackChunk_N_E||[]).push([[7377],{7377:function(e,n,t){t.r(n),n.default='## Exercise: Generate Parentheses\n### Instructions\nWrite a function `generate_parentheses(n)` that generates all combinations of well-formed parentheses for a given integer `n`. Each combination should be a string of parentheses characters, where each opening parenthesis is followed by a closing parenthesis. The function should return a list of all valid combinations.\n\nAssume that `n` will always be a positive integer.\n\n### Examples\n```\n>>> generate_parentheses(1)\nOutput: ["()"]\n\n>>> generate_parentheses(2)\nOutput: ["(())", "()()"]\n\n>>> generate_parentheses(3)\nOutput: ["((()))", "(()())", "(())()", "()(())", "()()()"]\n```\n***\ndef generate_parentheses(n):\n    def backtrack(s, left, right):\n        if len(s) == 2 * n:\n            result.append(s)\n            return\n        if left < n:\n            backtrack(s + \'(\', left + 1, right)\n        if right < left:\n            backtrack(s + \')\', left, right + 1)\n\n    result = []\n    backtrack(\'\', 0, 0)\n    return result\n***\ndef generate_parentheses(n):\n  pass\n***\ndef test_case_1():\n    return [\n        [1], \n        ["()"]\n    ]\n\ndef test_case_2():\n    return [\n        [2], \n        ["(())", "()()"]\n    ]\n\ndef test_case_3():\n    return [\n        [3], \n        ["((()))", "(()())", "(())()", "()(())", "()()()"]\n    ]\n\ndef test_case_4():\n    return [\n        [4], \n        ["(((())))", "((()()))", "((())())", "((()))()", "(()(()))", "(()()())", "(()())()", "(())(())", "(())()()", "()((()))", "()(()())", "()(())()", "()()(())", "()()()()"]\n    ]\n\ntest_cases = [test_case_1, test_case_2, test_case_3, test_case_4]'}}]);

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