PPT-Binary Heaps

COL 106 Shweta Agrawal and Amit Kumar 2 Revisiting FindMin Application Find the smallest or highest priority item quickly Operating system needs to schedule jobs according to priority instead of FIFO. ii The height or depth of a binary tree is the maxi mum depth of any node or 1 if the tree is empty Any binary tree can have at most 2 nodes at depth Easy proof by induction EFINITION A complete binary tree of height is a binary tree which contain brPage 3br Binary numbers Computers work only on two states On Off Basic memory elements hold only two states Zero One Thus a number system with two elements 01 A binary digit bit brPage 4br Decimal numbers 1439 1 x 10 4 x 10 3 x 10 9 x Lecture 19. CS2110 Spring 2014. 1. Readings and Homework. Read Chapter 26 to learn about heaps. Salespeople often make matrices that show all the great features of their product that the competitor’s product lacks. Try this for a heap versus a BST. First, try and sell . Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. Non-binary gender. Non-binary . gender is an umbrella term covering any gender identity or expression that does not fit within the gender binary. The label may also be used by individuals wishing to identify as falling outside of the gender binary without being any more specific about the nature of their gender.. . The Decimal Number System (base-10. ). The . numbering . system we use is called . decimal. ..   It consists of 10 numbers: 0123456789. . It is used by . most. . civilizations today. . In the past, some civilizations . A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (. i. ) efficient implementation of priority queues. (ii) sorting -- . I am 12.. 12 is a . decimal . number. Use this table to convert a decimal number into a binary number.. To make 12 I need to add. 8. and 4.. Put a 1 under these numbers.. Put a 0 under the numbers that are not needed.  . Integer Conversion Between Decimal and Binary Bases. Task accomplished by. Repeated . division . of decimal number by 2 (integer part of decimal number). – Repeated . multiplication . of decimal number by 2 (fractional part of decimal number). The down-low on what’s going on with all those 1’s and 0’s inside a computer. Your standard numerical system. In order to understand what binary is, you’ll have to understand first, what it is not. It uses a different . and AVL Trees. The Most Beautiful Data Structures in the World. This animation is a PowerPoint slideshow. Hit the spacebar to advance. Hit the backspace key to go backwards . Hit the ESC key to terminate the show. Lecture 16. CS2110 Fall 2014. Reminder: A4 Collision Detection. Due . tonight by midnight. 2. Readings and Homework. Read Chapter 26. “A Heap Implementation” to learn about heaps. Exercise: . Salespeople often make matrices that show all the great features of their product that the competitor’s product lacks. Try this for a heap versus a BST. First, try and . Prof. . Neary. Based on slides from previous iterations of this course. Today’s Topics. Review of Min Heaps. Introduction of Left-. ist. Heaps. Merge Operation. Heap Operations. Review of Heaps. Min Binary Heap. Look at the . untis. of measurement for computer data. Bit. Byte. Nibble. Kilobyte. Mega / . giga. / . tera. byte. Binary. Nibble. Computers work in binary. We found out why in the hardware section (lesson 5)..