DDSA
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3074. Apple Redistribution into Boxes

Time: O(n log C)
Space: O(1)

Approach

Binary search on box capacity; validate smallest boxes can hold all grouped apples.

3074.cs
C#
// Approach: Binary search on box capacity; validate smallest boxes can hold all grouped apples.
// Time: O(n log C) Space: O(1)

public class Solution
{
    public int MinimumBoxes(int[] apple, int[] capacity)
    {
        int appleSum = apple.Sum();
        int capacitySum = 0;

        Array.Sort(capacity);

        for (int i = 0; i < capacity.Length; ++i)
        {
            capacitySum += capacity[capacity.Length - 1 - i];
            if (capacitySum >= appleSum)
                return i + 1;
        }

        return capacity.Length;
    }
}
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