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# 503. Next Greater Element II

## Description

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 <= 10`

^{4}`-10`

^{9}<= nums[i] <= 10^{9}