Cody

# Problem 44344. The 5th Root

Solution 2578347

Submitted on 18 Jun 2020
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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   Fail
n = 1/9765625; assert(abs(fifth_root(n)-1/25)<1e-5)

a = 3.2000e-04 a = 0.0179 b = 3.2000e-04 b = 0.0179 f = 0

Assertion failed.

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

a = 0.0134 a = 0.1158 b = 0.0134 b = 0.1158 f = 0

Assertion failed.

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

a = 0.0179 a = 0.1337 b = 0.0179 b = 0.1337 f = 0

Assertion failed.

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

a = 0.0894 a = 0.2991 b = 0.0894 b = 0.2991 f = 0

Assertion failed.

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

a = 0.4472 a = 0.6687 b = 0.4472 b = 0.6687 f = 0

Assertion failed.

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

a = 1 a = 1 b = 1 b = 1 f = 0

Assertion failed.

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

a = 2.2361 a = 1.4953 b = 2.2361 b = 1.4953 f = 0

Assertion failed.

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

a = 5 a = 2.2361 b = 5 b = 2.2361 f = 0

Assertion failed.

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

a = 7.0711 a = 2.6591 b = 7.0711 b = 2.6591 f = 0

Assertion failed.

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

a = 22.3607 a = 4.7287 b = 22.3607 b = 4.7287 f = 0

Assertion failed.

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

a = 55.9017 a = 7.4767 b = 55.9017 b = 7.4767 f = 0

Assertion failed.

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

a = 871.4213 a = 29.5198 b = 871.4213 b = 29.5198 f = 0

Assertion failed.

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

a = 3125 a = 55.9017 b = 3125 b = 55.9017 f = 0

Assertion failed.

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

a = 1.7678e+04 a = 132.9574 b = 1.7678e+04 b = 132.9574 f = 0

Assertion failed.

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

a = 2.7557e+05 a = 524.9453 b = 2.7557e+05 b = 524.9453 f = 0

Assertion failed.

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

a = 5.5902e+06 a = 2.3644e+03 b = 5.5902e+06 b = 2.3644e+03 f = 0

Assertion failed.

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

a = 7.2566e+06 a = 2.6938e+03 b = 7.2566e+06 b = 2.6938e+03 f = 0

Assertion failed.