Part I of the lab asks you to implement the following algorithm of converting an infix expression to a postfix expression using a stack of characters. Repeat the following for each element in an infix expression: • • If an operand is reached, append it to the postfix expression. If an open parentheses is reached, push it to the stack. If a close parenthesis is reached, pop the operators in the stack and append them to the postfix expression until an open parenthesis is popped. • If an operator is reached, pop the operators in the stack that are of higher or equal precedence than the new operator and append them to the postfix expression. After that, push the new operator to the stack. When the end of the infix expression is reached, pop and append the remaining operators in the stack and append them to the postfix expression

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Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.