LeetCode 1954: Minimum Garden Perimeter to Collect Enough Apples Solution

Master LeetCode problem 1954 (Minimum Garden Perimeter to Collect Enough Apples), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1954. Minimum Garden Perimeter to Collect Enough Apples

Medium

Math Binary Search

Problem Explanation

Explanation

To solve this problem, we need to find the minimum perimeter of a square plot such that it contains at least the required number of apples. We can use a binary search approach to find the minimum perimeter.

Define a helper function totalApples to calculate the total number of apples within a square plot of side length side.
Use binary search to find the minimum side length that contains at least neededApples.
Calculate the perimeter using the formula 4 * side.

Time Complexity: O(log(neededApples)) Space Complexity: O(1)

Solution Code

class Solution {
    public long minPerimeter(long neededApples) {
        long left = 1, right = 100000;
        while (left < right) {
            long mid = left + (right - left) / 2;
            if (totalApples(mid) < neededApples) {
                left = mid + 1;
            } else {
                right = mid;
            }
        }
        return 4 * left;
    }
    
    private long totalApples(long side) {
        return side * side * (side + 1) * (side + 1) / 4;
    }
}

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