Tasks Details
easy
Find the minimal perimeter of any rectangle whose area equals N.
Task Score
100%
Correctness
100%
Performance
100%
An integer N is given, representing the area of some rectangle.
The area of a rectangle whose sides are of length A and B is A * B, and the perimeter is 2 * (A + B).
The goal is to find the minimal perimeter of any rectangle whose area equals N. The sides of this rectangle should be only integers.
For example, given integer N = 30, rectangles of area 30 are:
- (1, 30), with a perimeter of 62,
- (2, 15), with a perimeter of 34,
- (3, 10), with a perimeter of 26,
- (5, 6), with a perimeter of 22.
Write a function:
def solution(N)
that, given an integer N, returns the minimal perimeter of any rectangle whose area is exactly equal to N.
For example, given an integer N = 30, the function should return 22, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [1..1,000,000,000].
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Solution
Programming language used Python
Time spent on task 3 minutes
Notes
not defined yet
Code: 06:37:41 UTC,
java,
autosave
Code: 06:38:47 UTC,
py,
verify,
result: Failed
Analysis
expand all
Example tests
1.
0.040 s
RUNTIME ERROR,
tested program terminated with exit code 1
stderr:
Traceback (most recent call last): File "exec.py", line 123, in <module> main() File "exec.py", line 85, in main result = solution( N ) File "/tmp/solution.py", line 5, in solution print(MAXINT) NameError: name 'MAXINT' is not defined
Code: 06:39:45 UTC,
py,
autosave
Code: 06:39:51 UTC,
py,
verify,
result: Passed
Analysis
Code: 06:40:03 UTC,
py,
verify,
result: Passed
Analysis
Code: 06:40:14 UTC,
py,
verify,
result: Passed
Analysis
Code: 06:40:16 UTC,
py,
final,
score: 
100
Analysis summary
The solution obtained perfect score.
Analysis
Detected time complexity:
O(sqrt(N))