How many times will the innermost loop be iterated when the algorithm segment is implemented and ruh? Assume n, R, J, for k: 1 to n for j:- k to n for i:-j to n (Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next i next j next k As in Example 9.6.4, sketch a trace table for the algorithm segment and notice that because i goes from j to n, it is always the case that i2vj. Similarly, it is always the case that i2vk and that k2v1. Thus, the number of iterations of the innermost loop is the same as the number of integer triples (i, j, k) that are related to each other in a certain way, and this is the same as the number of strings of n(n+1)(n+ 2) n-1v vertical bars and 3 crosses, where the position of the crosses indicate which 3 v Integers from 1 ton are included in the triple. Thus, the answer is 6
How many times will the innermost loop be iterated when the algorithm segment is implemented and ruh? Assume n, R, J, for k: 1 to n for j:- k to n for i:-j to n (Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next i next j next k As in Example 9.6.4, sketch a trace table for the algorithm segment and notice that because i goes from j to n, it is always the case that i2vj. Similarly, it is always the case that i2vk and that k2v1. Thus, the number of iterations of the innermost loop is the same as the number of integer triples (i, j, k) that are related to each other in a certain way, and this is the same as the number of strings of n(n+1)(n+ 2) n-1v vertical bars and 3 crosses, where the position of the crosses indicate which 3 v Integers from 1 ton are included in the triple. Thus, the answer is 6
Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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![How many times will the innermost loop be iterated when the algorithm segment is implemented and run? Assume n, k, j, and i are positive integers.
for k := 1 to n
for j:- k to n
for i:=j to n
[Statements in the body of the inner loop,
none containing branching statements
that lead outside the loop]
next i
next j
next k
As in Example 9.6.4, sketch a trace table for the algorithm segment and notice that because i goes from j to n, it is always the case that i2vj. Similarly, it is always the case that i2vk and that k2 v1.
Thus, the number of Iterations of the innermost loop is the same as the number of integer triples (i, j, k) that are related to each other in a certain way, and this is the same as the number of strings of
n(n+1) (n+ 2)
n- 1v vertical bars and 3 crosses, where the position of the crosses indicate which 3 v integers from 1 ton are included in the triple, Thus, the answer is
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de35394-b566-452d-a0dc-ecbc1ac42ab5%2Fd147f8fd-f589-4cfb-97ba-3e63d215c585%2Fottthn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:How many times will the innermost loop be iterated when the algorithm segment is implemented and run? Assume n, k, j, and i are positive integers.
for k := 1 to n
for j:- k to n
for i:=j to n
[Statements in the body of the inner loop,
none containing branching statements
that lead outside the loop]
next i
next j
next k
As in Example 9.6.4, sketch a trace table for the algorithm segment and notice that because i goes from j to n, it is always the case that i2vj. Similarly, it is always the case that i2vk and that k2 v1.
Thus, the number of Iterations of the innermost loop is the same as the number of integer triples (i, j, k) that are related to each other in a certain way, and this is the same as the number of strings of
n(n+1) (n+ 2)
n- 1v vertical bars and 3 crosses, where the position of the crosses indicate which 3 v integers from 1 ton are included in the triple, Thus, the answer is
6
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