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Parse the character stream from the beginning of the sequence to the end, counting characters as you go. Every time you encounter an opening parenthesis, push the current character count onto the stack. Every time you encounter a closing parenthesis, ensure the stack is not empty before popping the top value from the stack. You can discard the value -- you've found a matching pair.

If you attempt to pop from an empty stack, then you have a closing parenthesis at the current character position that has no matching opening parenthesis.

If you reach the end of the test and the stack is not empty, you have at least one opening parenthesis without a matching closing parenthesis. Pop the character positions off the stack to determine where the opening parenthesis are.

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10y ago

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