Cody

# Problem 44344. The 5th Root

Solution 1307053

Submitted on 21 Oct 2017 by ABHILASH SINGH
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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 = -3.2189 f = 0.0400

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

f = -1.7245 f = 0.1783

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

f = -1.6094 f = 0.2000

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

f = -0.9657 f = 0.3807

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

f = -0.3219 f = 0.7248

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

f = 0 f = 1

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

f = 0.3219 f = 1.3797

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

f = 0.6438 f = 1.9037

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

f = 0.7824 f = 2.1867

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

f = 1.2429 f = 3.4657

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

f = 1.6094 f = 5.0000

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

f = 2.7081 f = 15.0000

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

f = 3.2189 f = 25.0000

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

f = 3.9120 f = 50.0000

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

f = 5.0106 f = 150.0000

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

f = 6.2146 f = 500.0000

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

f = 6.3190 f = 555.0000