Determine whether an array can be transformed so all elements become equal, and identify the minimum effort required under the problem's allowed operations.
Given an integer array, you may apply the operation(s) described by the problem to transform the array. Your task is to determine whether it is possible to make every element of the array equal. If it is possible, compute the minimum number of operations needed according to the allowed transformation rules.
This is an array equalization problem: you are looking for a target value that all elements can be converted to, while respecting the operation constraints and minimizing total work.
Input Format
Input
- An integer array
nums. - The exact operation rules are defined by the problem statement on the platform.
Assumption for practice version
numscontains at least one integer.- All operations act on array elements only.
Output Format
Output
- Return whether the array can be transformed so that all values are equal.
- If the transformation is possible, also return the minimum number of operations required according to the allowed rules.
Constraints
- Array size and value ranges depend on the original platform problem.
- A correct solution should be efficient enough for standard interview-sized inputs.
- Be careful about parity, reachability, or target-selection conditions implied by the operation rules.
Example 1
Input
nums = [1, 2, 3]
Output
possible = true, minOperations = 2
Explanation
A representative equalization process reaches a common value in the minimum number of allowed steps. The exact steps depend on the operation rules, but the key idea is to choose a feasible target and minimize total work.
Example 2
Input
nums = [4, 4, 4]
Output
possible = true, minOperations = 0
Explanation
All elements are already equal, so no operations are needed.
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