## 2017年3月1日 星期三

### 【Python】Codility in Python : Lesson 10 - Prime and composite numbers【MinPerimeterRectangle】

Prime and composite numbers 第二題：【MinPerimeterRectangle】
Find the minimal perimeter of any rectangle whose area equals N.

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.

Assume that:
N is an integer within the range [1..1,000,000,000].

Correctness：100%、Performance：100%
```python def solutionBySqrt(N): squareRoot = math.sqrt(N) for index in range(math.ceil(squareRoot), 0, -1): if N % index == 0: return int(2 * (index + (N / index))) return -1 ```