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30 points) Suppose you are given a string containing only the characters ( and ). In this problem, you will write a function to determine whether the string has balanced parentheses. Your algorithm should use no more than O(1) space beyond the input; any algorithms that use space not in O(1) will receive half credit at most. Any solutions that always return true (or always return false) or otherwise try to game the distribution of test cases will receive zero credit. Balanced parentheses means that every open parenthesis has exactly one close parenthesis corresponding to it and vice versa, and that for each pair the opening parenthesis precedes the closed parenthesis. The follow- ing strings have balanced parentheses: () (()()) ((())()) 1 The following strings do not have balanced parentheses: )( (() ())(()))()) We consider the empty string to have balanced parentheses, as there is no imbalance. The input to hasBalancedParantheses will always be a string only containing "(" or ")". Your task is to complete the has Balanced Parentheses() method. Note: this can be done both iteratively or recursively, but I be- lieve most people will find the iterative version much easier. Hint: There’s a pattern for how to determine if parentheses are balanced. Try to see if you can find that pattern first before coding this method up.

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