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Array or Linked List Function

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Problem

During QA validation of AMD ROCm workloads, latency samples may need to be aligned with a shifted execution window. Given an array of integers, rotate the array to the right by k positions in place and return the modified array.

Formal Specification

Implement rotate(nums, k), where nums is a mutable list of integers and k is a non-negative integer. A right rotation moves the last element to the front, repeating this operation k times. The function must modify nums directly and may return the same list for convenient testing.

Example 1:

Input: nums = [1, 2, 3, 4, 5, 6, 7], k = 3
Output: [5, 6, 7, 1, 2, 3, 4]

The final three elements move to the beginning while their relative order remains unchanged.

Example 2:

Input: nums = [-1, -100, 3, 99], k = 2
Output: [3, 99, -1, -100]

Two rotations move [3, 99] before the original first two elements.

Constraints

  • 1 <= len(nums) <= 10^5
  • 0 <= k <= 10^9
  • -10^9 <= nums[i] <= 10^9
  • The input list must be modified in place
  • Use O(1) auxiliary space

Function Signature

def rotate(nums, k):
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