This problem is about the array-based binary heap implementation of a priority queue. let h denote the backing array, i. e h is a binary min-heap array. you should assume that the universe of possible keys is extremely large relative to the size of the heap (i. e., it is not practical to use a position array as described on p. 65 of the ) give an algorithm for a new operation decreasekey(index, delta) that subtracts delta from the key located at the given index in h, and restores the heap ordering. report the time taken by the algorithm.(b) suppose we also want an operation findkey(v) that returns the index of a key k in h (if k appears more than once, then it does not matter which index is returned). describe a modified implementation of the heap in which your findkey(v) operation is o(1), finding the minimum is still o(1), and the operations to insert a key or remove the minimum are still o(log n).

Word vocabulary words: print, proofread, status line, graphics, font effects, left margin, justification, line spacing, copy/paste, data. review words: font point, bold, save, center, error. fill in the correct word for the definition and then transfer the letters to the appropriate spot by number. some numbers will be found multiple times. you will end up with a quotation about…… what else? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 k 16 17 18 19 20 21 22 23 24 25 8 27 28 29 w 31 32 k 34 35 36 w h 39 40 41 42 8 44 45 46 47 48 49 50 51 52 53 54 55 .1. a software function that records keystrokes on a disk or drive so information can be 5 4 52 9 later retrieved. p n 2. to produce a paper copy of information. 10 7 12u n 3. a display that shows the location of the cursor, pages, etc. 45 46 18 27 36 20 42p4. pictures or images, located in clip art or other files. 6 24 44 28 34 49 555. any mis-stroke of a key. 47 41 48 2 10 n6. allows major changes to the font such as shadow, emboss, etc. 21 25 46 35 23 21 29 14 22 17 n7. a feature that centers lines of text horizontally. 49 53 46 9 51 p8. size of the font 31 16 22 b l 9. a feature that prints designated text darker than the rest to add emphasis. 32 3 . p10. to compare copy on a display screen or printout to the original 24 39 25 23 54 9 50 3 and correct errors. j un 11. a feature that allows text to be aligned at the left 11 12 7 21 16 49 40 46 34 2 and right margins. leftn 12. amount of blank space on the left side of the paper. 8 18 41 6 34 linen 13. number of blank lines between lines of text. 17 4 49 13 1914. any information inputted into the computer. 3 4 46 44 p /p15. feature that duplicates text from one location and places it in another.