9. Space Complexity Given the following implementations of countWays2 and countWays3, what are the space complexities of countWays2 and countWays3 as a function of dist? def countWays2 (dist): count = (0]* (dist + 1) count[e] = 1 if dist >= 1: count[1] = 1 if dist >= 2: count[2] = 2 for i in range(3, dist + 1): count[i] = (count[i - 1] + count[i - 2] + count[i - 3]) return count[dist]

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
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9. Space Complexity
Given the following implementations of countWays2 and countWays3, what are the space complexities of countWays2 and countWays3 as a function of dist?
def countWays2 (dist):
count = [0] * (dist + 1)
count[@] = 1
if dist >= 1:
count [1] = 1
if dist >= 2:
count[2] = 2
for i in range(3, dist + 1):
count[i] = (count[i - 1] + count[i - 2] + count[i - 3])
return count[dist]
def countWays3(dist):
if dist <= 1:
return 1
6.
if dist == 2:
return 2
first = 1
second = 1
third = 2
for i in range(3, dist + 1):
next_val = third + second + first
first = second
second = third
third = next_val
return third
8.
Pick ONE option
10
O countWays2: 0(1), countWays3: O(dist)
11
countWays2: O(dist), countWays3: O(1)
12
countWays2: O(dist), countWays3: O(dist)
13
countWays2: O(2dist), countWays3: O(log(dist))
14
Transcribed Image Text:9. Space Complexity Given the following implementations of countWays2 and countWays3, what are the space complexities of countWays2 and countWays3 as a function of dist? def countWays2 (dist): count = [0] * (dist + 1) count[@] = 1 if dist >= 1: count [1] = 1 if dist >= 2: count[2] = 2 for i in range(3, dist + 1): count[i] = (count[i - 1] + count[i - 2] + count[i - 3]) return count[dist] def countWays3(dist): if dist <= 1: return 1 6. if dist == 2: return 2 first = 1 second = 1 third = 2 for i in range(3, dist + 1): next_val = third + second + first first = second second = third third = next_val return third 8. Pick ONE option 10 O countWays2: 0(1), countWays3: O(dist) 11 countWays2: O(dist), countWays3: O(1) 12 countWays2: O(dist), countWays3: O(dist) 13 countWays2: O(2dist), countWays3: O(log(dist)) 14
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