g1901_2000.s1954_minimum_garden_perimeter_to_collect_enough_apples

Class Solution

java.lang.Object

g1901_2000.s1954_minimum_garden_perimeter_to_collect_enough_apples.Solution

public class Solution
extends Object

1954 - Minimum Garden Perimeter to Collect Enough Apples.

Medium

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 (0, 0).

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 if x >= 0
• -x if x < 0

Example 1:

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.

Example 2:

Input: neededApples = 13

Output: 16

Example 3:

Input: neededApples = 1000000000

Output: 5040

Constraints:

• 1 <= neededApples <= 1015

Constructor Summary

Constructors

Constructor and Description
Solution()

Method Summary

Modifier and Type	Method and Description
long	minimumPerimeter(long neededApples)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

minimumPerimeter

public long minimumPerimeter(long neededApples)