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Question: A common problem for compilers and text editors is to determine if the parentheses (or other brackets) in a string are balanced and properly nested.
For example, the string "((())())()" contains properly nested pairs of parentheses, but the string ")()(" does not; and the string "())" does not contain properly matching parentheses.
Part (a) Give an algorithm that returns true if a string contains properly nested and balanced parentheses, and false if otherwise. Hint: At no time while scanning a legal string from left to right will you have encountered more right parentheses than left parentheses.
Part (b) Give an algorithm that returns the position in the string of the first offending parenthesis if the string is not properly nested and balanced That is, if an excess right parenthesis is found, return its position; if there are too many left parentheses, return the position of the first excess left parenthesis. Return -1 if the string is properly balanced and nested.
Can you solve this problem and show all the workings.
Design and implement a driver to show the following (check for 2 graphs; 1 is provided, including the starting vertex):Display the dfs starting from a specified vertex;Display the discovery/finishing time for each node in the graph;Show the Parenthes..
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Give the two input nodes after the graph has been built from the command prompt.
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