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## Abstract Data Types

ADTs classify data structures based on usage and behavior, providing an understanding of the interface and responses.

# Stacks - Intermediate

Consider the standard algorithm for converting a decimal number (base 10) into a binary number (base 2). This algorithm makes use of a single stack.

How many times will an item be pushed to this stack if the number to be converted is $$1048596$$?

Given a contiguous histogram each of integer height and unit width, write a program that finds the maximum possible rectangular area.

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For the histogram above, the maximum area is $$6\times4=24$$. What is the maximum area for the following data table?

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Note

There are many ways to approach this question, but an efficient way of solving this is using stacks.

A polish expression or postfix expression is a notational form for logic, arithmetic, and algebra which places operators to the left of their operands. What is the value of the polish expression below when evaluated?

$\large{35\ 17\ 40\ 9\ - * + 7 - }$

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