6. Which of the following statements are True andwhich are False ? Give reasons for your answers.(a) Any array in ascending order is amin-heap.(b) The fractional knapsack problem can besolved optimally using a dynamicprogramming based strategy.(c)The number of keys in a B-tree ofminimum degree t and depth d is at most((2t – 1)d+1 - 1)/2d.(d) The congruence ax = b(mod n) has at leastone solution for any natural number a, band n.(e) For any weighted graph, there is a uniqueminimal spanning tree.

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Any array in ascending order is min-heap. (a)

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

6. Which of the following statements are True and
which are False ? Give reasons for your answers.
(a) Any array in ascending order is a
min-heap.
(b) The fractional knapsack problem can be
solved optimally using a dynamic
programming based strategy.
(c)
The number of keys in a B-tree of
minimum degree t and depth d is at most
((2t – 1)d+1 - 1)/2d.
(d) The congruence ax = b(mod n) has at least
one solution for any natural number a, b
and n.
(e) For any weighted graph, there is a unique
minimal spanning tree.

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