README.md

1954. Minimum Garden Perimeter to Collect Enough Apples

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

Solutions (Rust)

1. Solution

impl Solution {
    pub fn minimum_perimeter(needed_apples: i64) -> i64 {
        let mut x = 1;

        while 4 * x * x * x + 6 * x * x + 2 * x < needed_apples {
            x += 1;
        }

        8 * x
    }
}