You are given a collection of numbered balls
and instructed to sort them into boxes for a nearly balanced distribution. There are two rules you must follow:
Return the fewest number of boxes to sort these balls following these rules.
Example 1:
Input: balls = [3,2,3,2,3]
Output: 2
Explanation:
We can sort balls
into boxes as follows:
[3,3,3]
[2,2]
The size difference between the two boxes doesn't exceed one.
Example 2:
Input: balls = [10,10,10,3,1,1]
Output: 4
Explanation:
We can sort balls
into boxes as follows:
[10]
[10,10]
[3]
[1,1]
You can't use fewer than four boxes while still following the rules. For example, putting all three balls numbered 10 in one box would break the rule about the maximum size difference between boxes.
Constraints:
1 <= nums.length <= 105
1 <= nums[i] <= 109
NeetCode