Cody

Problem 44344. The 5th Root

Solution 2034327

Submitted on 25 Nov 2019 by Mehmet Fatih Altun
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Test Suite

Test Status Code Input and Output
1   Pass
filetext = fileread('fifth_root.m'); assert(isempty(strfind(filetext, '^')),'^ forbidden') assert(isempty(strfind(filetext, 'power')),'power() forbidden') assert(isempty(strfind(filetext, 'mpower')),'mpower() forbidden') assert(isempty(strfind(filetext, 'realpow')),'realpow() forbidden') assert(isempty(strfind(filetext, 'nthroot')),'nthroot() forbidden') assert(isempty(strfind(filetext, 'roots')),'roots() forbidden')
2   Pass
n = 1/9765625; assert(abs(fifth_root(n)-1/25)<1e-5)

f = 0.0400
3   Pass
n = 1/5555; assert(abs(fifth_root(n)-0.178263811215444)<1e-5)

f = 0.1783
4   Pass
n = 1/3125; assert(abs(fifth_root(n)-1/5)<1e-5)

f = 0.2000
5   Pass
n = 1/125; assert(abs(fifth_root(n)-0.380730787743176)<1e-5)

f = 0.3807
6   Pass
n = 1/5; assert(abs(fifth_root(n)-0.724779663677696)<1e-5)

f = 0.7248
7   Pass
n = 1; assert(abs(fifth_root(n)-1)<1e-5)

f = 1
8   Pass
n = 5; assert(abs(fifth_root(n)-1.37972966146121)<1e-5)

f = 1.3797
9   Pass
n = 25; assert(abs(fifth_root(n)-1.90365393871588)<1e-5)

f = 1.9037
10   Pass
n = 50; assert(abs(fifth_root(n)-2.18672414788656)<1e-5)

f = 2.1867
11   Pass
n = 500; assert(abs(fifth_root(n)-3.46572421577573)<1e-5)

f = 3.4657
12   Pass
n = 3125; assert(abs(fifth_root(n)-5)<1e-5)

f = 5
13   Pass
n = 759375; assert(abs(fifth_root(n)-15)<1e-5)

f = 15
14   Pass
n = 9765625; assert(abs(fifth_root(n)-25)<1e-5)

f = 25
15   Pass
n = 312500000; assert(abs(fifth_root(n)-50)<1e-5)

f = 50
16   Pass
n = 75937500000; assert(abs(fifth_root(n)-150)<1e-5)

f = 150
17   Pass
n = 31250000000000; assert(abs(fifth_root(n)-500)<1e-5)

f = 500
18   Pass
n = 52658067346875; assert(abs(fifth_root(n)-555)<1e-5)

f = 555

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