Determine whether an array can be reduced to all zeros by repeatedly applying a fixed operation from left to right.
Problem
You are given an integer array nums. You may perform an operation on a contiguous prefix or a chosen segment depending on the problem's rule, and the goal is to make every element become 0.
Return whether it is possible to transform the array so that all elements are zero after some number of operations.
This problem is best approached by carefully tracking how each operation affects the array rather than trying every possibility blindly.
Task
Decide if the array can be fully reduced to zeros under the allowed operation rule described by the problem.
Input Format
nums: an integer array.- The exact operation rule is determined by the problem statement.
Return a boolean indicating whether the array can be transformed into all zeros.
Output Format
- Return
trueif the array can be made all zeros. - Otherwise return
false.
Constraints
1 <= nums.length.- Elements are integers within the platform's standard bounds.
- Use an approach that is efficient enough for linear or near-linear processing.
Example 1
Input
nums = [1,1,1]
Output
true
Explanation
A sequence of valid operations can eliminate the values one by one until all entries become zero.
Example 2
Input
nums = [1,0,2]
Output
false
Explanation
After accounting for the allowed operations, at least one position cannot be reduced to zero without breaking a previously fixed position.
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