Consider the following segment of code. Assume that i, z, and n are integers, and that n20. . State a non-trivial loop invariant (must include two conditions: one each for i and 2). Prove the invariant. A correct proof using an incorrect invariant would still receive credit. Be sure the proof includes the final conditions after the loop has ended. Show the final value of z in terms of n. // (n ≥ 0) i = 0; x = 3; 11 while in do i=i+1; 11 xx. 3; 11 11 After the loop, z = +(invariant goes here)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider the following segment of code. Assume that i, z, and n are integers, and
that n ≥ 0.
. State a non-trivial loop invariant (must include two conditions: one each for i and 2).
• Prove the invariant. A correct proof using an incorrect invariant would still receive credit.
. Be sure the proof includes the final conditions after the loop has ended.
Show the final value of z in terms of n.
// (n ≥ 0)
i = 0;
x = 3;
11
while i<n do
ii+1;
x x * 3;
11
Janu
11
After the loop, z =
TO
Filters
Add a caption...
+(invariant goes here).
Transcribed Image Text:Consider the following segment of code. Assume that i, z, and n are integers, and that n ≥ 0. . State a non-trivial loop invariant (must include two conditions: one each for i and 2). • Prove the invariant. A correct proof using an incorrect invariant would still receive credit. . Be sure the proof includes the final conditions after the loop has ended. Show the final value of z in terms of n. // (n ≥ 0) i = 0; x = 3; 11 while i<n do ii+1; x x * 3; 11 Janu 11 After the loop, z = TO Filters Add a caption... +(invariant goes here).
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