PPT-Sorted Maps © 2014 Goodrich, Tamassia, Goldwasser

1 Skip Lists Sorted Maps Ordered Maps Maps exact match to the key Sorted Maps Allows inexact match to the key Eg Flights departing between a time range MLB JFK 3Oct 100 to MLB JFK 3Oct 300. Goodrich 1 Goodrich 2 Now I just sat there between Terry and Gary in the van, a passive cucumber, while Terry made his smart-ass remarks that once used to tickle me to no end. I didn’t even b 1. Doubly. . Linked . Lists. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. Daniel . Dadush. Centrum . Wiskunde. & . Informatica. (CWI). Joint work with K.M. Chung, F.H. Liu and C. . Peikert. Outline. Lattice Parameters / Hard Lattice Problems.. Worst Case to Average Case Reductions.. 5. th. edition. Michael T. Goodrich. Roberto . Tamassia. Chapter . 7. : Trees. CPSC 3200. Algorithm Analysis and Advanced Data Structure. Chapter Topics. General Trees.. Tree Traversal Algorithms.. Binary Trees.. 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 -- . Geological maps and . 3D visualisation. Maps. All maps are 2-D images of the 3-D world around us. Detailed picture of an area larger than you can see . Earliest Maps. Lascaux, France ~16,500BC. ~7000 BC. 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 -- Heapsort.. 1. NP-Completeness . Proofs. Presentation for use with the textbook, . Algorithm Design and Applications. , by M. T. Goodrich and R. Tamassia, Wiley, 2015. © 2015 Goodrich and Tamassia . NP-Completeness Proofs. Queues. 2. The Queue ADT. The . Queue. ADT stores arbitrary . objects. Insertions and deletions follow the first-in first-out . scheme (FIFO). Insertions are at the rear of the queue and removals are at the front of the . <number>. Adaptable Priority Queues. 3. a. 5. g. 4. e. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. Hash Tables. . . 0. 1. 2. 3. 4. 451-229-0004. 981-101-0002. 025-612-0001. © 2014 Goodrich, Tamassia, Godlwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. Define an ordering on various types. Define when an array is sorted. Learn how to determine if an array is sorted. Learn how to determine if a sub-range of an array is sorted. Ordered types. Suppose that the entries of an array can be ordered:. 6. 9. 2. 4. 1. 8. <. >. =. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6. th. edition. , by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014. . -. . S. 0. S. 1. S. 2. S. 3. +. . -. . 10. 36. 23. 15. +. . -. . 15. +. . -. . 23. 15. © 2014 Goodrich, Tamassia, Goldwasser. Presentation for use with the textbook . Data Structures and Algorithms in Java, 6.