In a garden represented as an infinite 2D grid, there is an apple tree planted at every integer coordinate. The apple tree planted at an integer coordinate
(i, j) has
|i| + |j| apples growing on it.
You will buy an axis-aligned square plot of land that is centered at
Given an integer
neededApples, return the minimum perimeter of a plot such that at least
neededApples apples are inside or on the perimeter of that plot.
The value of
|x| is defined as:
x >= 0
x < 0
Input: neededApples = 1 Output: 8 Explanation: A square plot of side length 1 does not contain any apples. However, a square plot of side length 2 has 12 apples inside (as depicted in the image above). The perimeter is 2 * 4 = 8.
Input: neededApples = 13 Output: 16
Input: neededApples = 1000000000 Output: 5040
1 <= neededApples <= 1015