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Assume you have an array A of n items, and you want to find the k items in A closest to the median of A. For example, if A contains the 9 values {7, 14, 10, 12, 2, 11, 29, 3, 4} and k = 5, then the answer would be the values {7, 14, 10, 12, 11}, since the median is 10 and these are the five values in A closest to the value 10. Give an algorithm to solve this problem in O(n) time, and explain why your algorithm runs in O(n) time. You may use the selection algorithms discussed in the book and the notes as subroutines of your solution. (Hint: you may want to call the selection algorithm more than once.)
n vehicles occupy squares (1, 1) through ( n , 1) (i.e., the bottom row) of an n × n grid. The vehicles must be moved to the top row but in reverse order
Create the O(|V | + | E |) time algorithm which, given times ti and the dependencies, determines minimum time required to complete all the tasks.
Removes it from row permanently, and receives value of coin. Find out the maximum possible amount of money we can definitely win if we move first.
"Consensus algorithm": A group of ten people need to decide which one flavor of ice cream they will all order, out of three options.
Write a C program which initially presents menu of choices for the user. Menu must consist of the following choices: Prepare the initial linked list of students and grades.
Using "insertion sort" and then merged using standard merging mechanism, where k is value to be determined. How must be we select k in practice?
Give the two input nodes after the graph has been built from the command prompt.
Show the result of inserting these keys using linear probing, using quadratic probing with c1 = 1 and c2 = 3, and using double hashing with h2(k) = 1 + (k mod (m ¡ 1)).
Write the algorithm to read arbitrary number of data records, each comprising name, age, and code.
Make a list of some of the common data structures provided by C#. You should have a minimum of 4 different data types.
Explain how to modify Knuth-Morris-Pratt algorithm to support patterns with these wild cards, and analyze modified algorithm. Your algorithm must find first substring in text which matches the pattern.
Rreached from every other vertex. Describe why your algorithm runs in linear time (O(V2) on an adjacency matrix; O(E+V) on an adjacency list).
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