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Database System Concepts
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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Returns True/False depending on the case (examples listed in the code). Write answers using one dimensional loops in Python.

def test1(arr): Return true if-and-only-if the sequence arr[0], * arr[arr[0]], arr[arr[arr[0]]], ... reaches 0 * after traversing all entries in arr. Sample input/outputs: * test1([3, 5, 7, 4, 1, 8, 0, 6, 2)] * test1( [3, 5, 7, 4, 1, 8, 6, 0, 2]) * test1( [3, 1, 0, 3, 0]) * test1( []) --> True --> False --> False --> True pass
Transcribed Image Text:def test1(arr): Return true if-and-only-if the sequence arr[0], * arr[arr[0]], arr[arr[arr[0]]], ... reaches 0 * after traversing all entries in arr. Sample input/outputs: * test1([3, 5, 7, 4, 1, 8, 0, 6, 2)] * test1( [3, 5, 7, 4, 1, 8, 6, 0, 2]) * test1( [3, 1, 0, 3, 0]) * test1( []) --> True --> False --> False --> True pass
def test2(arr, k): Return True if-and-only-if the entries in arr are sorted sloppily "up to k", that is, every entry precedes at most k smaller values and follows at most k larger values. Sample input/outputs: * test2( [3, 2, 1, 0, 4, 8, 7, 6, 5], * test2( [3, 2, 1, 0, 4, 8, 7, 6, 5], 2) * test2( [0, 1, 2, 3, 4, 5, 6, 7, 8], 1) 3) --> True --> False --> True * test2([], 3) --> True pass
Transcribed Image Text:def test2(arr, k): Return True if-and-only-if the entries in arr are sorted sloppily "up to k", that is, every entry precedes at most k smaller values and follows at most k larger values. Sample input/outputs: * test2( [3, 2, 1, 0, 4, 8, 7, 6, 5], * test2( [3, 2, 1, 0, 4, 8, 7, 6, 5], 2) * test2( [0, 1, 2, 3, 4, 5, 6, 7, 8], 1) 3) --> True --> False --> True * test2([], 3) --> True pass
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