Computer Systems: A Programmer's Perspective (3rd Edition)
Computer Systems: A Programmer's Perspective (3rd Edition)
3rd Edition
ISBN: 9780134092669
Author: Bryant, Randal E. Bryant, David R. O'Hallaron, David R., Randal E.; O'Hallaron, Bryant/O'hallaron
Publisher: PEARSON
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Chapter 6.4, Problem 6.10PP
Program Plan Intro

Given Code:

//float function dotprod

float dotprod(float x[8], float y[8])

{

//variable declaration

float sum = 0.0;

int i;

//traverse through the array

for(i = 0; i < 8; i++)

//add the sum of products

sum += x[i] * y[i];

//return sum

return sum;

}

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1. (Shortest Path) Please find the shortest path between the blue triangle and red tri- angle as Figure 1. Please explain your approach and develop the computationally efficient algorithm to get the results. Can you obtain (or estimate) the time com- plexity and memory complexity of your algorithm? 麗
(c) A palindromic number is a number that is the same if read forwards or backwards: 12321 and 641146 are examples. It is possible to represent a number using an array of digits (numbers 0- 9), for example: [1,9,5, 2] could represent 1952. i. Using an appropriate iteration construct, write an algorithm as a procedure that decides if an input array A[1..n] of digits is a palindromic number.
(Q4)  Problem 1.41 from the Baase’s textbook, page 65: Write out the algorithm to find K in the ordered array by the method suggested in the text (Section 1.6) that compares K to every fourth entry until K itself or an entry larger than K is found, and then, in the latter case, searches for K among the preceding three. How many comparisons does your algorithm do in the worst case?
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