Next Greater Element II

Given a circular integer array `nums` (i.e., the next element of `nums[nums.length - 1]` is `nums[0]`), return _the **next greater number** for every element in_ `nums`. The **next greater number** of a number `x` is the first greater number to its traversing-order next in the array, which means you could search circularly to find its next greater number. If it doesn't exist, return `-1` for this number.   **Example 1:** **Input:** nums = [1,2,1] **Output:** [2,-1,2] Explanation: The first 1's next greater number is 2; The number 2 can't find next greater number. The second 1's next greater number needs to search circularly, which is also 2. ``` **Example 2:** **Input:** nums = [1,2,3,4,3] **Output:** [2,3,4,-1,4] ```   **Constraints:** - `1 <= nums.length <= 104` - `-109 <= nums[i] <= 109`