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Assume you have one machine and set of n jobs a1,a2,,...,an to process on that machine. Each job aj has a processing time tj,a profit pj, and adeadline dj. Machine can process only one job at time and job aj should run uninterruptedly for tj conseutive time units. If job aj is completed by its deadline dj, you get the profit pj, but if it is after its deadline ,you get the profit of 0. Write down algorithm to find schedule which obtains maximum amount of profit, assuming that all processing times are integers between 1 and n. Determine running time of your algorithm.
Determine when a typical database is created the structure is constructed before the data is actually loaded into the database. What problems exist when someone wishes to add or delete from the existing structure?
The problem is to assign each skier a ski to minimize the average difference between height of a skier and his/her ski. Give pseudocode and write its asymptotic running time.
Look up each test item in array of member items, by using sequential search. What is the worst-case running time of it. (asymptotically, in terms of n and k)?
There are twenty gigabyte of space on a computer's hard disk. I transfer information via a telephone line (connection) at the rate of 14,400 bits per second.
Determine the mean salary as well as the number of salaries.
Given connected undirected graph G described by the adjacency list representation create the efficient algorithm to find the path in G which goes through exactly once in each direction.
Following refer to breadth-first traversals of graphs and trees. a. Determine the purpose of queue in breadth-first traversal?
Assume two TCP connections are available over some bottleneck link of rate R bps. Both connections have a huge document to send in the similar direction over the bottleneck link
Generalize the 2-3 algorithms for INSERT and DELETE to K-J trees, where non-leaf vertices have between K and J children for fixed integers K >=2, and J>= 2K-1.
If an address bus needs to be able to address 8-devices, how many conductors will be needed? What if each of those devices also requires to be able to talk back to the I/O control device?
Provide the adjacency-list representation for complete binary tree on 7 vertices. Provide the equivalent adjacency - matrix representation. Suppose that vertices are numbered from 1 to 7 as in binary heap?
Write a C++ class which implements stack by using a dynamically allocated array. Initial size of particular stack must be determined when it is created.
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