Homework Answers
In BFPRT(Blum, Floyd, Pratt, Riveest, Tarjan) algorithm we use a more sophisticated pivot strategy.
The algorithm consists of an algorithm to find an approximate median in linear time, which is then used as a pivot in Quickselect. In other words, it uses an optimal approximate median-selection algorithm to build an optimal general selection algorithm.
Algorithm
The algorithm divides the list into groups of five elements. Then, for each group of five, the median is calculated. These medians construct a sublist of N/5
elements. And then recursively find the median on this sublist. Finally, the “median of medians” is chosen to be the pivot and continue to find the median using Quickselect.
So let us take an array of number {1, 2, 3, …., 110} and fit it in the grid.
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
51 |
56 |
57 |
58 |
59 |
60 |
61 |
62 |
63 |
64 |
65 |
66 |
|
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
52 |
67 |
68 |
69 |
70 |
71 |
72 |
73 |
74 |
75 |
76 |
77 |
|
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
53 |
78 |
79 |
80 |
81 |
82 |
83 |
84 |
85 |
86 |
87 |
88 |
|
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |
54 |
89 |
90 |
91 |
92 |
93 |
94 |
95 |
96 |
97 |
98 |
99 |
|
41 |
42 |
43 |
44 |
45 |
46 |
47 |
48 |
49 |
50 |
55 |
100 |
101 |
102 |
103 |
104 |
105 |
106 |
107 |
108 |
109 |
110 |
The Median of Median is in the Yellow Box which is X in your case, and values less than X are in the Blue boxes which are L in your case and the values more than X are in the Grey boxes which are H in your case.
Add Answer to:
10 13) For the Blum-Floyd-Pratt-Rivest-Tarjan selction algorithm, BFPRTO. in which we first split the array into...
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13) For the Blum-Floyd-Pratt-Rivest-Tarjan selction algorithm, BFPRTO in which we first split the array into columns of 5, a) place the median of medians, X, in the right box in the picture and b) indicate (circle or L those boxes that have values less than X, and indicate (cirele or t) those boxes that have values more than X
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An m×n array A of real numbers is a Monge array if for all i,j,k, and l such that 1≤i<k≤m and ...
An m×n
array A
of real numbers is a Monge array if for all i,j,k,
and l
such that 1≤i<k≤m
and 1≤j<l≤n
, we have
>A[i,j]+a[k,l]≤A[i,l]+A[k,j]>
In other words, whenever we pick two rows and two columns of a
Monge array and consider the four elements at the intersections of
the rows and columns, the sum of the upper-left and lower-right
elements is less than or equal to the sum of the lower-left and
upper-right elements. For example, the following...
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this is the question. i don't have anything else.
13) For the Blum-Floyd-Pratt-Rivest-Tarjan selction algorithm, BFPRTO in which we first split the array into columns of 5, a) place the median of medians, X, in the right box in the picture and b) indicate (circle or L those boxes that have values less than X, and indicate (cirele or t) those boxes that have values more than X
13) For the Blum-Floyd-Pratt-Rivest-Tarjan selction algorithm, BFPRTO in which we first split...
11) a) Using RSA to encode with p-5,q-7 and c-7, what information do we make publicly available? b) What is d, the private key? 12) Describe how, using RSA, Bob knows that, as claimed, it's really Alice sending the message. 13) Using non-randomized Select(A, n, i) to find the 4th largest element in array A, with A as I first pivot 8 11 14 09 4 25 33 98 5 22 63 54 2 111 45 23 19 728 16...
An m×n
array A
of real numbers is a Monge array if for all i,j,k,
and l
such that 1≤i<k≤m
and 1≤j<l≤n
, we have
>A[i,j]+a[k,l]≤A[i,l]+A[k,j]>
In other words, whenever we pick two rows and two columns of a
Monge array and consider the four elements at the intersections of
the rows and columns, the sum of the upper-left and lower-right
elements is less than or equal to the sum of the lower-left and
upper-right elements. For example, the following...
Programming language: Java
Home Work No.2 due 09.11.2019 either ascending or descending SORTING: An array is said to be ordered if its values order. In an ascending ordered array, the value of each element is less than or equal to the value of the next element. That is, [each element] <= [next element]. A sort is an algorithm for ordering an array. Of the many different techniques for sorting an array we discuss the bubble sort It requires the swapping...
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to test the believe that songs are taller than their fathers a
student randomly selects 13 fathers who have adult male children
she records the height of both the father and son in inches and
obtains the following data are sons taller than their fathers? use
a=.10 level of significance
Note: normal probability plot in box plot of the data indicate
that the difference are approximately normally distributed with no
outliers
To test the belief that sons are taller than...
You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling a 6 or a number greater than 3 (b) Rolling a number less than 4 or an even number (c) Rolling a 4 or an odd number (a) P(6 or number> 3)- (Round to three decimal places as needed) (b) P/1 or 2 or 3 or 4 or 6)-( Round to three decimal places as needed.) (c) P(4 or 1 or 3 or 5)...
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Many engineering problems can be solved numerically by dividing a
large, compli- cated geometry into a multitude of smaller
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