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painless
Find the minimal perimeter of any rectangle whose area equals N.
Programming language:

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:

class Solution { public int solution(int 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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