While (j≤n)sum := sum + j^2jj+1End-whileThe precondition is that n is a non-negative integer, j = 1 and sum = 0. The postcondition is, ofncourse, that sum = k². What is the loop invariant? (You do not need to prove the correctness ofk=1this algorithm. Merely state the loop invariant.) a.v(T') = 2 · v(T1) + 2 · v(T2) + 1b. v(T') = 2 · v(T1) + 2 · v(T2)c. v(T') = v(T1) + v(T2) + 1d. v(T') = v(T1) + v(T2)

Solution: given While( j<=n ) sum = sum + j2 j = j + 1 End While Answer: Option…

While (j≤n) sum := sum + j^2 j:=j+1 End-while The precondition is that n is a non-negative integer, j n course, that sum = = 1 and sum= 0. The postcondition is, of ². What is the loop invariant? (You do not need to prove the correctness of k=1 this algorithm. Merely state the loop invariant.)

While (j≤n) sum := sum + j^2 j:=j+1 End-while The precondition is that n is a non-negative integer, j n course, that sum = = 1 and sum= 0. The postcondition is, of ². What is the loop invariant? (You do not need to prove the correctness of k=1 this algorithm. Merely state the loop invariant.)

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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Question

While (j≤n)
sum := sum + j^2
jj+1
End-while
The precondition is that n is a non-negative integer, j = 1 and sum = 0. The postcondition is, of
n
course, that sum = k². What is the loop invariant? (You do not need to prove the correctness of
k=1
this algorithm. Merely state the loop invariant.)

a.
v(T') = 2 · v(T1) + 2 · v(T2) + 1
b. v(T') = 2 · v(T1) + 2 · v(T2)
c. v(T') = v(T1) + v(T2) + 1
d. v(T') = v(T1) + v(T2)

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