ii. {x is even} X + X+1 X + 2 * X {x is odd}

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3. (a) Explain the notation {Pre} Code {Post}. Explain in your answer the difference
between total and partial correctness.
(b) Which of the following statements are true? In each case you should justify your
argument informally.
X + X* 2
i. {x > Y}
{ x - Y > 0}
Y +Y div 2
ii. {x is even}
X + X +1
X + 2 * X
{x is odd}
X + 2 * Y
iii. {x = Y}
{x = Y}
Y + 2 * X
(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.
ii. Repeat question (i) but write your algorithm as a recursive procedure. Show
how your algorithm works by giving a trace of the computation with the array
[1, 2, 2, 1).
Transcribed Image Text:3. (a) Explain the notation {Pre} Code {Post}. Explain in your answer the difference between total and partial correctness. (b) Which of the following statements are true? In each case you should justify your argument informally. X + X* 2 i. {x > Y} { x - Y > 0} Y +Y div 2 ii. {x is even} X + X +1 X + 2 * X {x is odd} X + 2 * Y iii. {x = Y} {x = Y} Y + 2 * X (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. ii. Repeat question (i) but write your algorithm as a recursive procedure. Show how your algorithm works by giving a trace of the computation with the array [1, 2, 2, 1).
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