Preconditions: a fix A = [a0;a1,--- , an=1].natural n(length of the arrangement) and a natural m. Post-conditions: the array contains a permutation of the original values such that all elements appear first in A less than m, followed by all elements in A equal to m, and ending with all the elements in A older than m. TIERSORT(A, n, m) 1: i = 0 2: j = 0 3: k = n -1 4: while j <= k do 5: if Alj] > m then aur = A[j] AL = A[k] A[k] = aur 6: 7: 8: 9: k-- else if Alj] = m then j++ else 10: 11: 12: aur = A[i] A[i] = Alj] AG] = aur 13: 14: 15: 16: i++ j++ 18: end if 19: end while 17: a) Show that TierSort That's right. b) Determine the complexity of TierSort in the best and worst case.
Preconditions: a fix A = [a0;a1,--- , an=1].natural n(length of the arrangement) and a natural m. Post-conditions: the array contains a permutation of the original values such that all elements appear first in A less than m, followed by all elements in A equal to m, and ending with all the elements in A older than m. TIERSORT(A, n, m) 1: i = 0 2: j = 0 3: k = n -1 4: while j <= k do 5: if Alj] > m then aur = A[j] AL = A[k] A[k] = aur 6: 7: 8: 9: k-- else if Alj] = m then j++ else 10: 11: 12: aur = A[i] A[i] = Alj] AG] = aur 13: 14: 15: 16: i++ j++ 18: end if 19: end while 17: a) Show that TierSort That's right. b) Determine the complexity of TierSort in the best and worst case.
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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