{ "data": { "question": { "questionId": "1295", "questionFrontendId": "1954", "categoryTitle": "Algorithms", "boundTopicId": 900808, "title": "Minimum Garden Perimeter to Collect Enough Apples", "titleSlug": "minimum-garden-perimeter-to-collect-enough-apples", "content": "
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
\n
Example 1:
\n\nInput: neededApples = 1\nOutput: 8\nExplanation: A square plot of side length 1 does not contain any apples.\nHowever, a square plot of side length 2 has 12 apples inside (as depicted in the image above).\nThe perimeter is 2 * 4 = 8.\n\n\n
Example 2:
\n\n\nInput: neededApples = 13\nOutput: 16\n\n\n
Example 3:
\n\n\nInput: neededApples = 1000000000\nOutput: 5040\n\n\n
\n
Constraints:
\n\n1 <= neededApples <= 1015
给你一个用无限二维网格表示的花园,每一个 整数坐标处都有一棵苹果树。整数坐标 (i, j)
处的苹果树有 |i| + |j|
个苹果。
你将会买下正中心坐标是 (0, 0)
的一块 正方形土地 ,且每条边都与两条坐标轴之一平行。
给你一个整数 neededApples
,请你返回土地的 最小周长 ,使得 至少 有 neededApples
个苹果在土地 里面或者边缘上。
|x|
的值定义为:
x >= 0
,那么值为 x
x < 0
,那么值为 -x
\n\n
示例 1:
\n\n输入:neededApples = 1\n输出:8\n解释:边长长度为 1 的正方形不包含任何苹果。\n但是边长为 2 的正方形包含 12 个苹果(如上图所示)。\n周长为 2 * 4 = 8 。\n\n\n
示例 2:
\n\n\n输入:neededApples = 13\n输出:16\n\n\n
示例 3:
\n\n\n输入:neededApples = 1000000000\n输出:5040\n\n\n
\n\n
提示:
\n\n1 <= neededApples <= 1015
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